Answer: 14
Step-by-step explanation: If you add 7 to 8 you get 15 so if he spent half of his allowance you multiply 7 by 2 so your answer is 14.
James's weekly allowance is calculated by setting up an equation based on the information given. After spending half of his allowance on clothes and earning an additional $8, the equation 0.5A + $8 = $15 is solved to reveal that James's weekly allowance is $14.
The student's question involves solving for James's weekly allowance, given that he spent half of it on clothes and earned an additional $8 by cleaning the oven, which resulted in him having a total of $15 at the end. To solve the problem, we need to set up an equation where 'A' represents James's weekly allowance.
James spent half of his allowance on clothes, which means he has half of it left. So, we can represent this as 0.5A. Then he adds $8 from cleaning the oven: 0.5A + $8 = $15. We isolate 'A' by subtracting $8 from both sides of the equation: 0.5A = $15 - $8, which simplifies to 0.5A = $7. To find the full value of his allowance (A), we divide by 0.5: A = $7 / 0.5, so A = $14.
Thus, James's weekly allowance is $14.
What is 1.3333333333 equal to in fractions
Answer: 1 1/3
Step-by-step explanation: 0.33 repeating and in general is equal to 1/3
Frank is going to plant y vegetable seeds in one garden and 4y+9 vegetable seeds in another. How many seeds is frank going to plant
Frank will plant a total of 5y + 9 vegetable seeds across his two gardens.
Frank has two gardens where he plans to plant vegetable seeds. In one garden, he will plant y vegetable seeds. In the other garden, he will plant 4y+9 seeds. To find the total number of seeds Frank is going to plant, we need to add together the number of seeds for each garden.
The total number of seeds is:
Total seeds = y + (4y + 9)
Combine like terms:
Total seeds = y + 4y + 9
Total seeds = 5y + 9
Thus, Frank will plant a total of 5y + 9 vegetable seeds across both gardens.
A line passes through the point (10,-1) and has a slope of 3/2. Write an equation in point-slope form for this line.
Answer:
work is shown and pictured
Scarlett has set up a lemonade stand outside her house and sells small cups and large
cups of lemonade. Each small cup holds 10 ounces of lemonade and each large cup
hold 20 ounces of lemonade. Scarlett sold 70 cups of lemonade totaling 1000 ounces.
Determine the number of small cups sold and the number of large cups sold.
Answer: 40 small cups sold and 30 large cups sold.
Step-by-step explanation:
Let be "s" the number of small cups sold and "l" the number of large cups sold.
Based on the information given in the exercise, you can set up the following system of equations:
[tex]\left \{ {{s+l=70} \atop {10s+20l=1000 }} \right.[/tex]
You can use the Elimination Method to solve the system of equations:
1. Multiply the first equation by -10.
2. Add both equations.
3. Solve for "l".
Then, you get:
[tex]\left \{ {{-10s-10l=-700} \atop {10s+20l=1000 }} \right.\\.........................\\10l=300\\\\l=\frac{300}{10}\\\\l=30[/tex]
4. Finally, substitute the value of "l" into any original equation and solve for the variable "s" in order to find its value.
This is:
[tex]s+30=70\\\\s=70-30\\\\s=40[/tex]
Please answer them
This is homework
Answer:
Step-by-step explanation:
31) Y = -3x² + 18 x -25 = -3*x² + -3*-6x -25
= -3(x² -6x) - 25
( (a-b)² =a² - 2ab + b²; here a = x; 2ab = -6x = -2*x*3; and so b = 3)
= -3(x² -6x + 9 - 9) - 25
{ when we add and subtract 9, the equation will not change}
= -3[(x -3)² - 9] -25
= -3(x - 3)² - (-3)*9 - 25
= -3(x - 3)² + 27 -25
= -3(x - 3)² + 2
32) y= -3x² - 18x - 25
= -3 (x² + 6x )-25
= -3 (x² + 6x + 9 - 9) -25
= -3 [ (x+ 3)² - 9] -25
=-3 (x + 3)² - (-3)*9 - 25
= -3(x + 3)² + 27 - 25
= -3(x+3)² +2
what is (1/2x-5)^2 simplified?
[tex]\frac{x^2}{4}-\frac{10x}{2}+25[/tex]
Solution:
Given expression is [tex](\frac{1}{2}x-5)^2[/tex].
Simplify the expression using algebraic formula [tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex](\frac{1}{2}x-5)^2=(\frac{x}{2}-5)^2[/tex]
[tex]=(\frac{x}{2})^2-2(\frac{x}{2})5+5^2[/tex]
[tex]=\frac{x^2}{4}-10(\frac{x}{2})+25[/tex]
[tex]=\frac{x^2}{4}-\frac{10x}{2}+25[/tex]
[tex](\frac{1}{2}x-5)^2=\frac{x^2}{4}-\frac{10x}{2}+25[/tex].
Hence, the simplified form of [tex](\frac{1}{2}x-5)^2[/tex] is [tex]\frac{x^2}{4}-\frac{10x}{2}+25[/tex].
The area of a circle is 28.26 square meters. What is the circle's diameter?
Answer: area for circle is πr² so πr² =28.26 and we can sub 3.14 as pi
3.14*r²=28.26 we can divide by 3.14 to get r² on it's own
r²=28.26/3.14
then we root both sides to get r on it's own
28.26/3.14=9 √9=3
and the diameter is double the radius 3*2=6 so the diameter is 6
Step-by-step explanation:
Complete the equation of the line whose slope is -2−2minus, 2 and y-intercept is (0,3)
Answer:
[tex]y=-2x+3[/tex]
Step-by-step explanation:
Given the slope of line [tex]m[/tex] is [tex]-2[/tex].
And y-intercept is [tex](0,3)[/tex]
We can write the equation of line by using the slope-intercept form.
The slope-intercept from is
[tex]y=mx+b[/tex]
Where [tex]m[/tex] is the slope of line. And [tex]b[/tex] is the y-intercept.
In our problem y-intercept is given as [tex]b=3[/tex].
Plugging these we get,
[tex]y=-2x+3[/tex]
What fraction is larger 1 1/6 or 1 4/12
Answer:
1 4/12
Step-by-step explanation: What you need to do first is make them improper fractions with the same denominator.
1 1/6 = 7/6 1 4/12 = 16/12. Now you can make them have the same denominator. 7/6 = 14/12 and 16/12. So 1 and 4/12 is bigger.
Maricel is programming an archery component of a new video game. In her code, she has created an "auto aim" feature that helps players more easily hit their intended targets. The code works such that if the player is aimed at AAA but instead should be aimed at target TTT, the game will automatically adjust the angle at which the arrow is fired directly at TTT. If AAA and TTT are 151515 meters apart in the example below, how many degrees will Maricel's code adjust the shot? Do not round during your calculations. Round your final answer to the nearest degree.
Maricel's code will adjust the shot by 12º
Answer:
The correct angle will be 12.5 degrees.
The results of a survey showed that 40% of 300 Students chose, serving natural resources as the top propriety for their generation
Answer:
72
Step-by-step explanation:
Here is the complete question: The results of a survey showed that 40% of 300 Students chose conserving natural resources as the top priority for their generation. Suppose only 24% of 300 students chose conserving natural resources. How many students chose conserving natural resources?
Given: 24% of 300 students chose conserving natural resources.
Now, finding the number of student chose conserving natural resource.
Using percentage to find the answer.
[tex]Number\ of\ student\ chose\ conserving\ natural\ resources= \frac{24}{100} \times 300[/tex]
⇒ [tex]Number\ of\ student\ chose\ conserving\ natural\ resources= 24\times 3[/tex]
∴ [tex]Number\ of\ student\ chose\ conserving\ natural\ resources= 72\ students[/tex]
Hence, there are 72 students chose conserving natural resources.
Simplify each expression then factor the expression 14-28t-5(7+10t)
Answer:
Simplified: -21-98t
Factored: -7(14t+3)
Step-by-step explanation:
The given expresion is:
14-28t-5(7+10t)
We expand the parenthesis to get:
[tex]14 - 28t -35 - 70t[/tex]
We group like terms to get:
[tex]14 -35 - 28t- 70t[/tex]
We combine similar terms to get:
[tex] - 21- 98t[/tex]
We now factor to obtain:
[tex] - 21- 98t = - 7(14t + 3)[/tex]
1: In Rectangle ABCD, AC is 5x - 12, and BD is 2x + 15. Find x.
Answer:
X=9
Step-by-step explanation:
In the picture above.
What is 7/9 minus 1/3
Answer:
4/9 or 0.444...
Step-by-step explanation:
[tex] \frac{7}{9} - \frac{1 \times 3}{3 \times 3} [/tex]
[tex] \frac{7}{9} - \frac{3}{9} [/tex]
[tex] \frac{4}{9} [/tex]
Answer: 4/9
Step-by-step explanation: Since our denominators in this problem are 9 and 3, and 9 factors as 3 x 3, they have a common factor of 3 so we find their least common denominator by multiplying the 3 that comes from the 3's that match up times the 3 that doesn't match up so we have 3 x 3 or 9.
In order to get a common denominator of 9 for both our fractions, we multiply top and bottom of the the second fraction by 3 and we have 7/9 - 3/9 which simplifies to 4/9. So 7/9 - 1/3 is 4/9.
I have also attached my work in the image provided.
A fruit bowl contains apples, oranges, and bananas. The radius of one of the oranges is 1.35 inches. What is the approximate volume of the orange? Use 3.14 for pi.
Answer:
[tex]10.3\ in^3[/tex]
Step-by-step explanation:
Orange has the shape of a ball.
The volume of a ball with radius r inches is
[tex]V=\dfrac{4}{3}\pi r^3\ in^3[/tex]
The radius of one of the oranges is 1.35 inches.
Hence, its volume is
[tex]V=\dfrac{4}{3}\cdot \pi \cdot (1.35)^3\approx \dfrac{4}{3}\cdot 3.14\cdot 2.460375=10.30077\ in^3 \approx 10.3\ in^3[/tex]
Answer:
10.3 in^3
Step-by-step explanation:
Simplify 3(4x + 2) - 6x
6-6x
6x+6
2-6x
6x+2
3(4x + 2) - 6x
12x + 6 - 6x
6x + 6
Hope this helps! ;)
Answer:
The correct answer is B. 6x + 6
Step-by-step explanation:
Let's simplify the expression, this way:
3(4x + 2) - 6x
12x + 6 - 6x
6x + 6
After solving the parenthesis, multiplying, adding and subtracting, the correct answer is B. 6x + 6
If Jose's present age is 3n, how old will he be in 5 years?
Answer:
3n + 5
Step-by-step explanation:
You can't add 5 to 3n. So in 5 years he will 3n + 5.
José's age in 5 years will be 3n + 5, where 3n represents his current age.
Explanation:If José's present age is 3n, and we want to find out how old he will be in 5 years, we need to add 5 to his current age expressed as 3n. This can be done with a simple algebraic expression:
Age in 5 years = Current Age + 5 = 3n + 5
Without the value of n, we can't calculate his exact future age, but we know that in 5 years, his age will be 5 years older than it is now.
In a wildlife park there are 20 gray wolves after a few years they were 38 Greywolf what is the percent increase
The percent increase is 0.53%
The percentage increase in the number of Greywolf is 90% and this can be determined by using the unitary method.
Given :
There are previously 20 Greywolf in a wildlife park.After a few years, the total number of Greywolf is 38.The following steps can be used in order to determine the percentage increase in the number of Greywolf:
Step 1 - The unitary method can be used in order to determine the percentage increase in the number of Greywolf.
Step 2 - According to the given data, there are previously 20 Greywolf in a wildlife park which is 100%.
Step 3 - So, let the percentage of 38 Greywolf be 'x'. So, the value of 'x' can be calculated as:
[tex]x = \dfrac{38}{20}\times 100[/tex]
[tex]x = 190\%[/tex]
Step 4 - So, the percentage increase in the number of Greywolf is:
[tex]{\rm Percentage \; Increase} = 190-100[/tex]
[tex]{\rm Percentage \; Increase} = 90\%[/tex]
The percentage increase in the number of Greywolf is 90%.
For more information, refer to the link given below:
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This table gives a (x,y) pairs of a line in the coordinate plance
A trail map shows the distances of the four trails at a state park: 5.9 kilometers, 3.35 kilometers, 4.1 kilometers, and 3.4 kilometers. What is the distance of the shortest trail?
Answer:
3.35
Step-by-step explanation:
Answer:
3.35
Step-by-step explanation:
_____________________________________
Answer:
OPTION B: 229.28 $
Step by-step explanation:
Whenever a deposit is made the balance increases and when a withdrawal is made the balance is decreased.
So, to compute the balance on Friday, assuming that he hasn't deposited on Friday, we add all the deposits and subtract all the withdrawals.
On Monday he has 225 $. He withdraws 27.25 $. So, the balance would be: 225 - 27.25 = 197.75
On Tuesday he deposits money. So, the balance would be 197.75 + 75.5
= 273.25
On Wednesday he deposits and withdraws. So, it would be
273.25 + 32.19 - 61 . 95 = 243.49
On Thursday, he withdraws. So, the balance would be: 243.49 - 14.21
= 229.28 $ which will be the balance on Friday.
Hence, OPTION B is the answer.
The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and length of this rectangle?
The width of rectangle is [tex]2\frac{1}{4}[/tex] cm and length is [tex]5\frac{5}{12}[/tex] cm.
Step-by-step explanation:
Let,
Width of rectangle = w
Length of rectangle = [tex]w+3\frac{1}{6}=w+\frac{19}{6}[/tex]
Perimeter of rectangle = [tex]15\frac{1}{3}=\frac{46}{3}[/tex] cm
Perimeter = 2(Length + Width)
[tex]\frac{46}{3}=2(w+\frac{19}{6}+w)\\\\\frac{46}{3}=2(2w+\frac{19}{6})\\\\\frac{46}{3}=4w+\frac{19}{3}\\\\4w+\frac{19}{3}=\frac{46}{3}\\\\4w=\frac{46}{3}-\frac{19}{3}\\\\\ 4w=\frac{46-19}{3}\\\\4w=\frac{27}{3}\\\\4w=9[/tex]
Dividing both sides by 4
[tex]\frac{4w}{4}=\frac{9}{4}\\\\w=\frac{9}{4}[/tex]
Width of rectangle = [tex]\frac{9}{4}=2\frac{1}{4}\ cm[/tex]
[tex]Length = w+\frac{19}{6}=\frac{9}{4}+\frac{19}{6}\\\\Length = \frac{27+38}{12}=\frac{65}{12}\\\\Length=5\frac{5}{12}\ cm[/tex]
The width of rectangle is [tex]2\frac{1}{4}[/tex] cm and length is [tex]5\frac{5}{12}[/tex] cm.
Keywords: rectangle, perimeter
Learn more about perimeter at:
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Final answer:
The width of the rectangle is 9.92 cm (approx.) and the length is 13.09 cm, calculated using the given perimeter and the relationship between the width and length, both rounded to three significant figures.
Explanation:
The question asks to find the width and length of a rectangle given that the length is 3 1/6 cm longer than the width and the perimeter is 15 1/3 cm. To solve this, first express the perimeter as an equation involving width (w) and length (l):
Perimeter (P) = 2l + 2w
Since the length is 3 1/6 cm longer than the width, we can express the length as:
l = w + 3 1/6
Substitute the value of l in the perimeter equation:
15 1/3 = 2(w + 3 1/6) + 2w
Convert mixed numbers into improper fractions for easier computation:
46/3 = 2(w + 19/6) + 2w
Expand and solve for w:
46/3 = (4w + 19/3)
3(46) = 4w(3) + 19
138 = 12w + 19
119 = 12w
w = 119/12
w = 9.916666...
To match our significant figures requirement, we report the width of the rectangle as 9.92 cm to three significant figures. Now calculate the length:
l = w + 3 1/6
l = 9.92 + 3.1666...
l = 13.0866...
Again, matching our significant figures requirement, the length is reported as 13.09 cm to three significant figures.
A series of light brown lines drawn at intervals of 50 feet to designate their respective heights aboveboard sea level are called
Answer:
Contour lines. Hope this helps!
Can some help me with this problem
Answer:
The range is [tex]\{-9,-8,-7,-6,-5\}[/tex]
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y=x-7[/tex]
The domain is the interval [tex]\{-2,-1,0,1,2\}[/tex] ----> given problem
Remember that
The domain of a function is the set of all possible values of x
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
To find out the range of the function , find the value of y for each value of x
so
For x=-2 ----> y=-2-7=-9
For x=-1 ----> y=-1-7=-8
For x=0 ----> y=0-7=-7
For x=1 ----> y=1-7=-6
For x=2 ----> y=2-7=-5
therefore
The range is [tex]\{-9,-8,-7,-6,-5\}[/tex]
The graph in the attached figure
It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers. The company has monthly operating expenses of $350 for utilities and $3300 for salaries. Write the linear equation to model the company's monthly expenses in the form y=mx+b
Answer:
y=2.5x+3650
Step-by-step explanation:
since you don't know the amount of units sold you make that x
you do know that the company has to pay a set amount each month for utilities and salaries. 350+3300
put this together, and you get the equation:
y=2.5x+3650
y=total expenses
2.5= price per unit
x= total units sold
3650=amount payed each month for utilities, and salaries
I NEED SMART STUDENT TO HELP ME PLEASE...ILL GIVE POINTS
Answer:
I believe 27%
Step-by-step explanation:
Total juniors = 8
Total students = 30
So 8 out of 30 as a percentage = 26.67
Hope this helps! :)
A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in still water? What is the speed of the current?
speed of a boat when it goes downstream is 336/12 = 28 mi/h
speed of a boat when it goes upstream is 336/14 = 24 mi/h
Let v is speed of the boat in still water and x is speed of the current. Then,
v + x = 28
v - x = 24
Solve the system for v and x and get v = 26 mi/h, x = 2 mi/h
Mark as BrainliestA gift basket that contains jars of jam and packages of bread mix costs $45. There are 8 items in the basket. Jars of jam cost $6 each, and packages of bread mix cost $5 each. Write and solve a system of linear equations to find the number of jars of jam and the number of packages of bread mix in the gift basket.
5 jars of jam and 3 packages of bread mix are in gift basket
Solution:
Let "x" be the number of jars of jam
Let "y" the number of packages of bread mix
Cost of 1 jars of jam = $ 6
Cost of 1 package of bead mix = $ 5
There are 8 items in the basket
Therefore,
number of jars of jam + number of packages of bread mix = 8
x + y = 8 ---------- eqn 1
A gift basket that contains jars of jam and packages of bread mix costs $45
Therefore, we frame a equation as:
number of jars of jam x Cost of 1 jars of jam + number of packages of bread mix x Cost of 1 package of bead mix = 45
[tex]x \times 6 + y \times 5 = 45[/tex]
6x + 5y = 45 --------- eqn 2
Let us solve eqn 1 and eqn 2
From eqn 1,
x = 8 - y --------- eqn 3
Substitute eqn 3 in eqn 2
6(8 - y) + 5y = 45
48 - 6y + 5y = 45
y = 48 - 45
y = 3Substitute y = 3 in eqn 3
x = 8 - 3
x = 5Thus 5 jars of jam and 3 packages of bread mix are in gift basket
Dimitri determined that the ordered pair (2, –2) is a solution to the system of linear equations 7x + 9y = –4 and 5x – 2y = 6 as shown. Equation 1: 7 x + 9 y = negative 4. 7 (2) + 9 (negative 2) = negative 4. 14 + (negative 18) = negative 4. Negative 4 = negative 4. Equation 2: 5 x minus 2 y = 6. 5 (2) minus 2 (negative 2) = 6. 10 minus 4 = 6. 6 = 6. What was Dimitri’s mistake? He mixed up the coordinates of the ordered pair when substituting it into the equations 7x + 9y = –4 and 5x – 2y = 6. He checked the equation 7x + 9y = –4 first when he should have checked 5 x minus 2 y = 6 first. He made a mistake in his calculations when substituting the ordered pair into the equation 7x + 9y = –4 and simplifying. He made a mistake in his calculations when substituting the ordered pair into the equation 5x – 2y = 6 and simplifying.
Answer:
The correct answer is He made a mistake in his calculations when substituting the ordered pair into the equation 5x – 2y = 6 and simplifying.
Step-by-step explanation:
I just took the test ;) good luck on yours
Answer:
He made a mistake in his calculations when substituting the ordered pair into the equation 5x – 2y = 6 and simplifying.
Step-by-step explanation:
Maddie earned an 88 on her first test and an 80 on second test. What is her average test score
Answer:
Step-by-step explanation:
the average can be found by adding up all ur numbers and dividing by how many numbers u have
so her average test score is : (88 + 80) / 2 = 168/2 = 84 <==
To find Maddie's average test score, add up her scores (88+80=168) and divide by the number of tests (2). This gives us an average of 84.
Explanation:The subject of this question is Mathematics, specifically the concept of calculating averages. To calculate Maddie's average test score, you'll need to add up the scores she received and then divide the sum by the number of tests she took.
In this case, Maddie earned an 88 on her first test and an 80 on her second test. You would add these two scores together (168), then divide by 2 (since she took 2 tests), which gives us an average of 84.
So, Maddie's average test score is 84.
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