Write an algebraic expression that is the quotient of a variable term and a constant.



Each side of a square has a length of 5x. Use your area expression to find the area of the square when x = 2.2 centimeters. Show your work.





Answers

Answer 1
Question:

Write an algebraic expression that is the quotient of a variable term and a constant

Answer:

The algebraic expression that is the quotient of a variable term and a constant is [tex]quotient = \frac{x}{5}[/tex]

Solution:

In arithmetic, a quotient is the quantity produced by the division of two numbers

Here given in question that quotient of a variable term and a constant

So the quotient produced by division of variable term and constant

A variable is a special type of amount or quantity with an unknown value. Though it can be anything, you often see letters like x or y as variables in algebraic equations

Let the variable term be "x"

Constants are the terms in the algebraic expression that contain only numbers

Let the constant be "5" (Note that it can be any number, here we choose 5)

So the quotient of a variable term and a constant is:

An algebraic expression is a mathematical expression that consists of variables, numbers and operations.

[tex]quotient = \frac{\text{ variable term}}{constant}[/tex]

[tex]quotient = \frac{x}{5}[/tex]

[tex]quotient = x \div 5[/tex]

Question:

Each side of a square has a length of 5x. Use your area expression to find the area of the square when x = 2.2 centimeters. Show your work.

Answer:

The area of square is 121 square centimeter

Solution:

Given that each side of square has length of 5x

The area of square is given as:

[tex]\text{ area of square }= (side)^2[/tex]

[tex]\text{ area of square} = (5x)^2\\\\\text{ area of square} = 25x^2[/tex]

Given x = 2.2 centimeter

[tex]\text{ area of square} = 25(2.2)^2 = 25 \times 4.84 = 121[/tex]

Thus area of square is 121 square centimeter

Answer 2

Final answer:

An algebraic expression x/3 is provided as an example, and the area of a square with side length 5x is calculated when x = 2.2 cm.

Explanation:

Algebraic expression: An example of an algebraic expression that is the quotient of a variable term and a constant is x/3, where x is the variable term and 3 is the constant.

Finding the area of a square: Given that each side of a square is 5x, the area is found by squaring the side length. So, Area = (5x)^2 = 25x^2.

Calculating the area when x = 2.2 cm: Substituting x = 2.2 into the area expression gives 25*(2.2)^2 = 25*4.84 = 121 cm².


Related Questions

Write the equation of a line that passes through the two points (4,-2) and (12,4).​

Answers

Answer:

y+2=3/4(x-4)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-(-2))/(12-4)

m=(4+2)/8

m=6/8

m=3/4

----------

y-y1=m(x-x1)

y-(-2)=3/4(x-4)

y+2=3/4(x-4)

PLZ help me fast 2 mins left

Answers

Answer:

[tex]\sqrt{-5}=i\sqrt{5}[/tex]

[tex]\sqrt{-25}=5i[/tex]

Step-by-step explanation:

i is an imaginary unit, this means

[tex]i^2=-1[/tex]

Rewrite -5 as [tex]5\cdot (-1)=5\cdot i^2,[/tex]

then

[tex]\sqrt{-5}=\sqrt{5i^2}=\sqrt{5}\cdot \sqrt{i^2}=\sqrt{5}\cdot i=i\sqrt{5}[/tex]

Rewrite -25 as [tex]-25=25\cdot (-1)=25\cdot i^2,[/tex]

then

[tex]\sqrt{-25}=\sqrt{25\cdot i^2}=\sqrt{25}\cdot \sqrt{i^2}=5\cdot i=5i[/tex]

Jerome's credit card has an APR of 18%, calculated on the previous monthly
balance, and a minimum payment of 2%, starting the month after the first
purchase. His credit card record for the last 7 months is shown in the table
below.
End of
month
Previous
balance
$0.00
$2200.00
$2189.00
$2178.06
$2167 16
$2156.33
$2145.55
Now
charges
$2200.00
$0.00
50.00
S0.00
$0.00
$0.00
50.00
Payment
recolved
S000
$44.00
$43.78
$43.56
$43.34
$43.13
$42.91
chere
30.00
$33.00
532.84
$32.67
$3251
$32,34
$32.18
Principal
pald
30.00
$11.00
$10.95
$10.89
$10.84
$10.78
$10.73
balance
$2200.00
$2189.00
$2178.06
$2167.16
$2156.33
$2145.55
$2134.82
What is the total amount that Jerome has paid in interest over the 7 months?

Answers

Answer: 11,056.1

Step-by-step explanation: Because you have to add the first 7

Jerome has paid a total of [tex]\$195.54[/tex]rest over the 7 months.

To find the total amount that Jerome has paid in interest over the 7 months, we need to sum up the interest paid each month. The interest for each month is calculated as follows:

[tex]\[ \text{Interest for the month} = \text{Previous balance} \times \text{APR} / 12 \][/tex]

Let's calculate the interest for each month:

1. For the second month:

 [tex]\[ \text{Interest} = \$2200.00 \times 0.18 / 12 = \$33.00 \][/tex]

2. For the third month:

[tex]\[ \text{Interest} = \$2189.00 \times 0.18 / 12 = \$32.84 \][/tex]

3. For the fourth month:

[tex]\[ \text{Interest} = \$2178.06 \times 0.18 / 12 = \$32.67 \][/tex]

4. For the fifth month:

[tex]\[ \text{Interest} = \$2167.16 \times 0.18 / 12 = \$32.51 \][/tex]

5. For the sixth month:

[tex]\[ \text{Interest} = \$2156.33 \times 0.18 / 12 = \$32.34 \][/tex]

6. For the seventh month:

 [tex]\[ \text{Interest} = \$2145.55 \times 0.18 / 12 = \$32.18 \][/tex]

Now, sum up these monthly interest amounts:

[tex]\[ \$33.00 + \$32.84 + \$32.67 + \$32.51 + \$32.34 + \$32.18 = \$195.54 \][/tex]

So, Jerome has paid a total of [tex]\$195.54[/tex]rest over the 7 months.

Jessica used 2/3 yard of fabric to make a scarf. Can she make 2 of these scarves with 1 3/4 yards of fabric

Answers

Answer:

  Yes

Step-by-step explanation:

2 × 2/3 = 4/3 yards of fabric needed for 2 scarves. This amount is less than 1 1/2 yards. The amount of fabric that Jessica has is more than 1 1/2 yards, so is more than enough.

Jessica can make 2 scarves.

100 POINTS PLEASE ANSWER AND DO ASK DIRECTED

In 5-7 sentences RAFTED PARAGRAPH, create a well-organized paragraph with a claim and evidence that answers the question below. Is it better to text or call? Justify

Answers

Answer:

Brainly User: eletricblu3s@*********.com

Should college be free? It’s a classic question with a complicated and arguably unclear answer. The affordability of college education, as well as the current student debt crisis, is always one of the center-stage issues for presidential political seasons. In fact, many candidates build their platforms around college costs as a key issue.

As with any major decision, especially relating to higher education, there are pros and cons to consider. Let me help break down the positives and negatives of tuition-free college.

The PROS of Tuition-Free College

More Lower-Income Students Might Reach Graduation if There’s No Tuition

Some students drop out because they do not have the ability to pay for tuition all four years. Getting rid of tuition would eliminate this reason for not graduating. This would also serve to improve college graduation rates, as fewer students would feel the need to drop to part-time status or take a break from education for financial reasons.

Student Debt Will No Longer Crush the Younger Generations

If an American college student is able to graduate with less than $10,000 in student loan debt, they are considered lucky (the average is $37,000). However, students from other countries that don’t have tuition already have that luxury; most of their loans come from living expenses and books. Without the weight of student loan debt, more college graduates might buy houses rather than renting apartments. They might buy cars, spend more on healthy food, travel more: In essence, they could contribute more to the economy.

Students Might Have More Freedom to Choose a Major They Enjoy

Whether it is the influence of parents or knowing you need to pay loans back as quickly as possible, current students are often guided toward “practical” majors that have a more lucrative post-graduation income. If shelling out thousands upon thousands of dollars is no longer a factor, parents and students might feel more relaxed about studying for majors that don’t necessarily have a large paycheck associated with them. Interest and enjoyment from a field of study goes a long way in helping students stick with it and avoid burning out.

More People Would Go to College

By negating the large bill of a college education, we could see an increase in the number of students able to attend college. This then creates a more well-educated workforce and a population that has better critical thinking skills. This could lead to more innovation in all areas of society. This would also help people with financial need to earn an education

How can u add 3/10 and 2/5

Answers

Answer:

7/10

Step-by-step explanation:

3/10+2/5=3/10+4/10=7/10

Step-by-step explanation:

You first find the LCM and multiply both fractions by it. Over here the LCM is 10.

(10 (3/10) + 10 (2/5))/10

(3+4)/10

7/10

What is the solution to the equation 7(a - 10) = 13 - 202a + 3)?

Answers

Answer:

a=0.41

Step-by-step explanation:

7(a-10)=13-202a+3

7a-70=13+3-202a

7a-(-202a)-70=16

7a+202a=16+70

209a=86

a=86/209

a=0.41

Final answer:

To solve the equation 7(a - 10) = 13 - 202a + 3, begin by simplifying both sides of the equation and combining like terms. Then isolate the variable 'a' to one side and the constant terms to the other. Finally, divide both sides by the coefficient of 'a' to solve for 'a'.

Explanation:

To solve the equation 7(a - 10) = 13 - 202a + 3, you can start by simplifying both sides of the equation. Expand the terms on the left side by distributing the 7 to the terms inside the parentheses. Combine like terms on both sides of the equation. Then, isolate the variable by moving all the terms with 'a' to one side of the equation and all the constant terms to the other side. Finally, divide both sides of the equation by the coefficient of 'a' to solve for 'a'.

Step-by-step solution:

Distribute 7 to the terms inside the parentheses:

7a - 70 = 13 - 202a + 3Combine like terms:

7a + 202a = 16 + 70 - 3Combine like terms:

209a = 83Divide both sides of the equation by 209 to solve for 'a':

a = 83/209

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31. In a Mathematics competition, there are 10 questions of equal marks. You get 10 marks for a correct
answer, lose 8 marks for a wrong answer, or no mark for each blank answer. If Jimmy answered 3
questions correctly, 6 questions wrongly, and left 1 question unanswered, how many marks could he
get?

Answers

Jimmy will receive -18 marks in the mathematics competition.
3*10=30
-8*6=-48
30+-48=-18
Final answer:

Jimmy can get -18 marks in the Mathematics competition based on his correct, incorrect, and unanswered answers.

Explanation:

To calculate the marks Jimmy can get, we need to consider the number of questions he answered correctly, incorrectly, and left unanswered. Since each question carries 10 marks for a correct answer and deducts 8 marks for a wrong answer, we can calculate his marks as follows:

Number of correct answers: 3 * 10 = 30 marksNumber of incorrect answers: 6 * (-8) = -48 marksNumber of unanswered questions: 1 * 0 = 0 marks

To get the total marks, we add up his scores from each category:

Total marks = 30 - 48 + 0 = -18 marks.

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Find the number, if 3 1/3 of it is 10

Answers

Answer:

3

Step-by-step explanation:

You want a number that if it is multiplied by 3 1/3 the result will be 10. Let the number be x

3 1/3 * x = 10                         Change to a mixed number

10/3 * x = 10                          Multiply by 3/10

(10/3)*x * 3/10 = 10 * 3/10     Combine

x = 10*3 / 10                          Simplify

x = 30/10 = 3

Answer:

3

Step-by-step explanation:

hey i'm dumb and geometry is hard pls help! i will give you branliest!

Answers

Answer:

2

Step-by-step explanation:

Why is implicit differentiation necessary in order to find derivatives of curves which do not represent functions?
Come up with your own implicitly defined function. What is its first, second, and third derivative?

Answers

The answer is implicit

Answer:

Implicit Differentiation is necessary in order to find derivatives of curves that do not represent a function because the functions cannot be simplified to a simple function. Using dy/dx and implicit differentiation can be used to find the derivative with respect to one variable and determine the affect each variable has on one another and calculate the rate of change of the variables over time. Differentiating both x and y in Implicit Differentiation makes it so that complex functions are much easier and instead of solving for one variable, differentiating one variable to the other is an easier method. My implicit function is 2y^2-x^2+x^3y=2. First Derivative= -3yx^2+2x/4y+x^3 Second Derivative= 3yx^4-4y^3-24y^2x+8y/(4y+x^3)^2 Third Derivative = 6y(-x^6+28yx^3+4y^2x^2-8x^2-16y)/(4y+x^3)^3

$100 at 9% APR compounded
semiannually for 1 year​

Answers

The amount at end of 1 year is $ 109.2025

Solution:

Given that,

Principal = $ 100

Rate of interest = 9 % compounded semiannually

Number of years = 1

The formula for total amount using compounded semiannually is:

[tex]A=p\left(1+\frac{r}{n}\right)^{n t}[/tex]

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Here, [tex]r = 9 \% = \frac{9}{100} = 0.09[/tex]

Here, n = 2 since interest is compounded semiannually

Substituting the values in formula,

[tex]A=100\left(1+\frac{0.09}{2}\right)^{2 \times 1}[/tex]

[tex]\begin{aligned}&A=100(1+0.045)^{2}\\\\&A=100(1.045)^{2}\\\\&A=100 \times 1.092025=109.2025\end{aligned}[/tex]

Thus the amount at end of 1 year is $ 109.2025

Can someone help me please!

Answers

Answer:

see explanation

Step-by-step explanation:

Since the lines are parallel then

∠x  = 70° ( alternate angles are congruent )

Since the triangle is isosceles then the base angles are congruent, thus

∠y = ∠x = 70°

The sum of the angles in a triangle = 180°

Subtract the sum of x and y from 180 for z

∠z = 180° - (70 + 70)° = 180° - 140° = 40°

Hence ∠x = ∠y = 70° and ∠z = 40°

Lisa reads 48 pages in 8 minutes. How many minutes would it take her to read 1 pages?


Answers

Answer:

1/6 of one minute, 10 seconds.

Step-by-step explanation:

8/48=1/6

Jewel wanted to know if there was a correlation between the weight of a dog and its age. She collected data and created the scatterplot shown:





scatter plot with points distributed all over quadrant 1





Determine the closest correlation coefficient (r value) for these data.





0




1




−1




5

Answers

Answer:

A. 0

Step-by-step explanation:

Because there is no correlation between any of the points.

A box is x to inches high,(2x+3)inches wide, and (2x+5) of inches long. In terms of x, what is the volume (v) of the box?

Answers

Answer:

The volume of the box is [tex]V=(4x^3+16x^2+15x)\ in^3[/tex]

Step-by-step explanation:

we know that

The volume of the box is equal to

[tex]V=LWH[/tex]

where

L is the length of the box in inches

W is the width of the box in inches

H is the height of the box in inches

we have

[tex]L=(2x+5)\ in\\W=(2x+3)\ in\\H=x\ in[/tex]

substitute in the formula

[tex]V=(2x+5)(2x+3)x[/tex]

[tex]V=(4x^2+6x+10x+15)(x)[/tex]

[tex]V=(4x^2+16x+15)(x)[/tex]

[tex]V=(4x^3+16x^2+15x)\ in^3[/tex]

Which number is in the solution set of the inequality 4x + 4 > 36

Answers

Step-by-step explanation:

4x > 36-4

4x > 32 (divide both sides of the inequality by 4 )

4x ÷ 4 > 32 ÷ 4

x > 8

Final answer:

To determine the solution set of the inequality 4x + 4 > 36, subtract 4 from both sides to get 4x > 32 and then divide by 4 to find x > 8. Any number greater than 8 is part of the solution set.

Explanation:

To find which number is in the solution set of the inequality 4x + 4 > 36, we need to solve for x by performing a series of steps:

Subtract 4 from both sides of the inequality to get 4x > 32.

Divide both sides of the inequality by 4 to solve for x, resulting in x > 8.

Thus, any number greater than 8 is in the solution set of the given inequality.

Write a subtraction equation that has 2 three digit numbers with different hundreds digits and a difference of less than 100

Answers

Answer:

801-792

Step-by-step explanation:

I got my answer by picking out a big number first (801) and subtracting it by another big number (701) to get an answer less than 100.

Final answer:

To form a subtraction equation with two three-digit numbers having different hundreds digits and a difference of less than 100, choose numbers where the hundreds digits are one number apart and the tens and ones digits are close, such as 756 - 657 = 99.

Explanation:

To write a subtraction equation that involves two three-digit numbers with different hundreds digits and a difference of less than 100, we need to select numbers where the hundreds digit is only 1 apart and the tens and ones digits are close. For example, the numbers 654 and 756. Subtracting these gives us:



756 - 654 = 102

We notice the result is slightly over 100. Therefore, we can adjust the tens or ones digits to reduce the difference. If we change 654 to 657, then:



756 - 657 = 99



In this case, we achieved a result that is less than 100. It's important to note that, in subtraction, we change the sign of the subtracted number before operating the addition as per standard arithmetic rules.

Henry and Gavin are marking exam papers. Each set takes Henry 36 minutes and Gavin 1 hour. Express the times Henry and Gavin take as a ratio.
Give your answer in its simplest form.​

Answers

The ratio of time taken by Henry to time taken by Gavin is 3:5

Step-by-step explanation:

Time taken by Henry for each set = 36 minutes

Time taken by Gavin for each set = 1 hour

We will convert Gavin's time into minutes.

Time taken by Gavin for each set = 60 minutes

Ratio;

Time taken by Henry : Time taken by Gavin

[tex]36:60[/tex]

Dividing by 6

[tex]\frac{36}{6}:\frac{60}{6}\\6:10[/tex]

Dividing by 2

[tex]\frac{6}{2}:\frac{10}{2}\\3:5[/tex]

The ratio of time taken by Henry to time taken by Gavin is 3:5

Keywords: ratio, division

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A book is 15 centimeters long and 6 centimeters wide. What are the length and width of the book in inches.Round your answer to the nearest hundredth.

Answers

Length and width of book is 5.91 inches and 2.36 inches respectively

Solution:

Given that a book is 15 centimeters long and 6 centimeters wide

To find: length and width of book in inches

From given question,

Length of book = 15 cm

Width of book = 6 cm

The conversion factor used is:

1 cm = 0.393701 inches

Therefore, length of book in inches is:

[tex]15 \text{ cm} = 15 \times 0.393701 \text{ inches }= 5.905515 \text{ inches }[/tex]

Rounding off rules:

First look at the digit to immediate right of rounding off digit

If that digit is less than 5, do not change the rounding digit but drop all digits to the right of it.

If that digit is greater than or equal to five, add one to the rounding digit and drop all digits to the right of it.

On rounding to nearest hundredth, ( two decimal places )

[tex]5.905515 \text{ inches } = 5.91 \text{ inches }[/tex]

Width of book in inches:

[tex]6 \text{ cm} = 6 \times 0.393701 \text{ inches } = 2.362206 \text{ inches }[/tex]

On rounding to nearest hundredth, we get 2.36 inches

Final answer:

The book measures approximately 5.91 inches in length and 2.36 inches in width.

Explanation:

To convert the dimensions of the book from centimeters to inches, we use the conversion factor that 1 inch is equal to 2.54 centimeters.

The length of the book in inches is calculated as follows:

Length in inches = Length in centimeters ÷ 2.54Length in inches = 15 cm ÷ 2.54Length in inches ≈ 5.91 inches (rounded to the nearest hundredth)

Similarly, the width of the book in inches is:

Width in inches = Width in centimeters ÷ 2.54Width in inches = 6 cm ÷ 2.54Width in inches ≈ 2.36 inches (rounded to the nearest hundredth)

Therefore, the book measures approximately 5.91 inches in length and 2.36 inches in width.

- 2 + (-9)
А -11
b -7
c 7
d 11

Answers

Answer:

-11

Step-by-step explanation:

Because -2+(-9)=-2-9=-11.

Solve the equation:
bx-c=ax+d
b≠a

Answers

Answer:

[tex]x=\frac{d+c}{b-a}[/tex]

Step-by-step explanation:

The question is

Solve for x

we have

[tex]bx-c=ax+d[/tex]

Solve for x

That means ----> isolate the variable x

Group terms

[tex]bx-ax=d+c[/tex]

Factor x left side

[tex]x(b-a)=d+c[/tex]

Divide by (b-a) both sides

[tex]x=\frac{d+c}{b-a}[/tex]

Rita has a container with a liter of milk and is wondering how many fluid ounces of milk are in the container. She knows that 1 gallon is about 3.785 liters, and she sets up the expression below to convert 1 liter to fluid ounces.

1 liter ×

gallon
liter ×

fluid ounces
gallon

Answers

Answer:

1 liter × 0.2642 gallons liter × 33.817 fluid ounces gallon.

Step-by-step explanation:

Given:

1 gallon = 3.785 liters

We need to find how many fluid of ounce are there in 1 liter.

First we will find number of gallons in 1 liter.

We know that;

3.785 liters = 1 gallons

1 liters = number of gallons in 1 liter.

By using Unitary method we get;

number of gallons in 1 liter = [tex]\frac{1}{3.785}= 0.2642\ gallons[/tex]

Now we know that:

1 gallons = 128 fluid ounce

So 0.2642 gallons = Number of fluid ounce in 0.2642 gallons

Again by using Unitary method we get;

Number of fluid ounce in 0.2642 gallons = [tex]128 \times 0.2642\approx 33.817\ oz[/tex]

Hence we can say,

1 liter ×0.2642 gallons liter × 33.817 fluid ounces gallon.

What is the opposite of the number 5 1/2

Answers

Answer: -5 1/2

Step-by-step explanation:

Write an equation of the line containing the given point and perpendicular to the given line:
​(4​, - 7​); 9x+5y=3

Answers

Answer:

[tex]y=\frac{5}{9}x+\frac{-83}{9}[/tex]

Step-by-step explanation:

Given equation of line:

[tex]9x+5y=3[/tex]

To find the equation of line perpendicular to the line of the given equation and passes through point (4,-7).

Writing the given equation of line in standard form.

Subtracting both sides by [tex]9x[/tex]

[tex]9x-9x+5y=3-9x[/tex]

[tex]5y=3-9x[/tex]  

Dividing both sides by 5.

[tex]\frac{5y}{5}=\frac{3}{5}-\frac{9x}{5}[/tex]  

[tex]y=\frac{3}{5}-\frac{9x}{5}[/tex]  

Rearranging the equation in standard form [tex]y=mx+b[/tex]

[tex]y=-\frac{9x}{5}+\frac{3}{5}[/tex]  

Applying slope relationship between perpendicular lines.

[tex]m_1=-\frac{1}{m_2}[/tex]

where [tex]m_1[/tex] and [tex]m_2[/tex] are slopes of perpendicular lines.

For the given equation in the form [tex]y=mx+b[/tex] the slope [tex]m_2[/tex]can be found by comparing [tex]y=-\frac{9x}{5}+\frac{3}{5}[/tex] with standard form.

∴ [tex]m_2=-\frac{9}{5}[/tex]

Thus slope of line perpendicular to this line [tex]m_1[/tex] would be given as:

[tex]m_1=-\frac{1}{-\frac{9}{5}}[/tex]

∴ [tex]m_1=\frac{5}{9}[/tex]

The line passes through point (4,-7)

Using point slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where [tex](x_1,y_1)\rightarrow (4,-7)[/tex] and [tex]m=m_1=\frac{5}{9}[/tex]

So,

[tex]y-(-7)=\frac{5}{9}(x-4)[/tex]

Using distribution.

[tex]y+7=(\frac{5}{9}x)-(\frac{5}{9}\times 4)[/tex]

[tex]y+7=\frac{5}{9}x-\frac{20}{9}[/tex]

Subtracting 7 to both sides.

[tex]y+7-7=\frac{5}{9}x-\frac{20}{9}-7[/tex]

Taking LCD to subtract fractions

[tex]y=\frac{5}{9}x-\frac{20}{9}-\frac{63}{9}[/tex]

[tex]y=\frac{5}{9}x+\frac{(-20-63)}{9}[/tex]

[tex]y=\frac{5}{9}x+\frac{-83}{9}[/tex]

[tex]y=\frac{5}{9}x-\frac{83}{9}[/tex]

Thus, the equation of line in standard form is given by:

[tex]y=\frac{5}{9}x-\frac{83}{9}[/tex]

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 50 pounds and each large box of paper weighs 80 pounds. There were 4 more large boxes shipped than small boxes and the total weight of all boxes was 1750 pounds. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

Answers

50x+80y=1750 and y = x+4 can be used to determine the number of small boxes and large boxes of paper shipped where x represent the number of small boxes of paper and y represent the number of large boxes of paper.

Step-by-step explanation:

Given,

Weight of small box of paper = 50 pounds

Weight of large box of paper = 80 pounds

Total weight of boxes = 1750 pounds

Let,

x represent the number of small boxes of papers.

y represent the number of large boxes of papers.

According to given statement;

50x+80y=1750

y = x+4  

50x+80y=1750 and y = x+4 can be used to determine the number of small boxes and large boxes of paper shipped where x represent the number of small boxes of paper and y represent the number of large boxes of paper.

Keywords: linear equation, addition

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The system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped are:

50x+80y=1750

y = x+4 ,

where x represent the number of small boxes of paper and y represent the number of large boxes of paper.

We have:

Weight of small box of paper = 50 pounds

Weight of large box of paper = 80 pounds

Total weight of boxes = 1750 pounds

Let us consider that  the number of small boxes of papers be x.

The number of large boxes of papers be y.

 Then, according to question

50x+80y=1750

y = x+4  

Therefore, the equations 50x+80y=1750 and y = x+4 can be used to determine the number of small boxes and large boxes of paper shipped.

where, x represent the number of small boxes of paper and y represent the number of large boxes of paper.

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Haddie makes and sells knit scarves. Next week she will pay a $25 fee for the use of a booth at a craft fair. She will charge $12 for each scraft fair. Write an expression to determine Haddie’s profit for selling s scarves after paying the fee for the use of the booth.

Answers

Final answer:

The profit Haddie makes from selling scarves at a craft fair can be represented by the algebraic expression P = 12s - 25. Here, P represents profit, s represents the number of scarves sold, 12 represents the price of each scarf, and 25 represents the cost of booth rental.

Explanation:

The subject of the question deals with the concept of profit in a business transaction, which falls under Mathematics, specifically algebra and economics. It's a High School level problem since it involves creating a basic algebraic expression.

Haddie's profit can be determined by subtracting her costs (the booth fee) from her earnings (the sale of the scarves). She earns $12 for each scarf sold, represented as 12s (where s is the number of scarves sold), and she has a fixed cost of $25 for the booth rental.

Therefore, the expression for Haddie's profit, P, for selling s scarves is: P = 12s - 25. This expression represents the total amount Haddie will earn from selling s scarves after deducting her cost for the booth rental.

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10,15,25,40,60 what's next?

Answers

Answer:

the answer would be 85

Step-by-step explanation:

because they are added by an increasing value of 5 so 60 plus 25 would be 85

the answer is 85

chingy changggggggg

Please help, is this the correct answer?

Answers

Answer:

B.

Step-by-step explanation:

'At least 35 years old'  can be written as ≥ 35 ( greater than or equal to 35)  so its graph B.

Note there is a filled circle on the 35 meaning the 35 years is included in the range.

Choose the word or group of words that belong in the underline space

After this summer we __ for nine years straights

A. Will have gone
B. Went
C. Have gone

Answers

Answer:

Step-by-step explanation: the answer is A beacause the sentence is in the past tense and answer A is the only one that would be gramatically correct

Final answer:

The correct phrase to complete the sentence is 'A. Will have gone' since it requires the future perfect tense to indicate that nine years will have passed after the upcoming summer.

Explanation:

The correct phrase to complete the sentence "After this summer we __ for nine years straight." is A. Will have gone. This is because the sentence is referring to a future event where the duration of nine years will have been completed after this coming summer, which requires the future perfect tense. The future perfect tense is formed with 'will have' followed by the past participle of the verb, which in the case of 'go' is 'gone'.

Now, let's solve some practice questions:

Under the table _______________.The choir usually _______________.Some of the actors _______________.Some of this song _______________.Either my brother or my sisters _______________._______________.

For each blank, you would choose the correct verb tense depending on the context of the sentence provided.

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