Answer:
que ??????????????????????
Step-by-step explanation:
Suppose you have a $8-off coupon at a fabric store. You buy fabric that costs $7.50 per yard. Write an equation that models the total amount of money y you pay if you buy x yards of fabric. What is the graph of the equation?
Answer:
= 7.5x-8
Step-by-step explanation:
Total cost = cost per yard * yard of fabric - coupon
total cost = 7.5 x - 8
y = 7.5x-8
Answer:
[tex]y=7.50x+8[/tex]
Step-by-step explanation:
For the equation, the amount of money is [tex]y[/tex], and the number of yards is [tex]x[/tex].
So, the problem says that the persona already have $8, which is constant, it wont' variate, that is, this is the independent term.
Then, it says the the fabric costs $7.50 per yard, and [tex]x[/tex] refer to yards, so this term would be [tex]7.50x[/tex].
Therefore, the equation to model this problem would be:
[tex]y=7.50x+8[/tex]
round .1287 to the nearest thousandth
To round 0.1287 to the nearest thousandth, we look at the next place value which here is 7. Since 7 is more than 5, we round up the thousandth place. Hence, 0.1287 becomes 0.129.
Explanation:To round the number 0.1287 to the nearest thousandth, you need to look at the ten-thousandth place (which is the fourth numeral after the decimal point). In this number, the ten-thousandth place is 7. If this digit is 5 or above, we need to round up. If it is less than 5, we stay with the number as is. Since 7 is bigger than 5, we round up. Therefore, 0.1287 rounded to the nearest thousandth is 0.129.
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Abigail Eddy purchased 200 shares of stock at $11.58 per share. Her online stock-broker charged her $12.50 commission. What is the total amount that she paid for the stock? Show work.
A) 1,547.20
B) 2,328.50
C) 2,154.54
D) 2,316.00
Answer:
B) 2328.50
Step-by-step explanation:
We are given 200 shares at $11.58 per share. By multiplying the number 200 with each share value will get the cost of all shares.
Total shares = 200
Cost per share = $11.58
Cost of 200 shares: Total shares * cost per share
= 200 * 11.58 = 2316
Commission charged = $12.50
Total amount: Cost of 200 shares + Commission charged
= 2316 + 12.50
Total amount = 2328.50
Please help.. Marking Brainliest
Looking at the graph When X is at 2 meals, the total cost is at Y = 3
Dividing the total coat of the mean by the number of means: 3 / 2 = 1.50
This means Fiona pays $1.50 per meal, which is less than the $1.75 Frank pays.
The answer is: Fiona's meals are less expensive.
At a factory, a machine puts tops on bottles at a rate of 80 bottles per minute. How many tops can be put on bottles between 8:00 a.m. and 3:30 p.m.?
Answer:
= 36000 caps
Step-by-step explanation:
First we need to figure out how many minutes between 8 am and 3:30 pm
There are 7 hours and 30 minutes.
1 hour = 60 minutes
Multiply each by 7
7 hours = 7*60 minutes = 420 minutes
So 7 hours 30 minutes = 420 + 30 = 450 minutes
Bottle caps = rate * minutes
= 80 caps/minute * 450 minutes
= 36000 caps
The machine can put tops on 36,000 bottles between 8:00 a.m. and 3:30 p.m.
To calculate how many tops can be put on bottles at a factory between 8:00 a.m. and 3:30 p.m. by a machine that works at a rate of 80 bottles per minute, we need to determine the total number of minutes the machine operates between those times and then multiply that number by the rate of the machine.
First, let's find the difference in time from 8:00 a.m. to 3:30 p.m.:
From 8:00 a.m to 3:00 p.m. is 7 hours.From 3:00 p.m. to 3:30 p.m. is an additional 30 minutes.Therefore, the machine operates for a total of 7 hours and 30 minutes. Since 1 hour equals 60 minutes, we have:
7 hours * 60 minutes/hour = 420 minutes
420 minutes + 30 minutes = 450 minutes
Now we multiply the total minutes by the rate of the machine:
450 minutes * 80 bottles/minute = 36,000 bottles
So the machine can put tops on 36,000 bottles between 8:00 a.m. and 3:30 p.m.
what is the length of ab?
Look at the picture.
We must use the Pythagorean theorem two times.
first time:
[tex]d^2=4^2+6^2\\\\d^2=16+36\\\\d^2=52\to d=\sqrt{52}[/tex]
second time:
[tex]AB^2=1^2+(\sqrt{52})^6\\\\AB^2=1+52\\\\AB^2=53\to AB=\sqrt{53}[/tex]
Answer: √53In the following diagram, find the measures of both x and y. Line I is perpendicular to line m
Answer:
x = 22.5 and y = 9
Step-by-step explanation:
Since the lines are perpendicular then the angles formed are right, hence
4x = 90 ( divide both sides by 4 )
x = 22.5
and 10y = 90 ( divide both sides by 10 )
y = 9
A total sales amount of $400,000 that included a 6% sales tax yields actual sales of
Answer:
$377,358.49
Step-by-step explanation:
Let, the actual sales = $X
Given total sales amount including 6% of sales tax = $400,000
Therefore, (X+6% of X)= $400,000
⇒(X+X·6÷100)= $400,000
⇒(X+0.06X)= $400,000
⇒ 1.06X= $400,000
∴ X= $400,000÷ 1.06 = $ 377,358.49
Hence, the actual sales = $ 377,358.49
Answer:
$377,358.49
Step-by-step explanation:
We are given the total sales amount of $400,000 which has an included 6% of sales tax.
Assuming the actual sales to be x, we will use the following formula:
x + x * sales tax = total amount
x + x * 6% = $400,000
x + x * 0.06 = $400,000
x * 1.06 = $400,000
x = $400,000 / 1.06
x = $377,358.49
Therefore, a total sales amount of $400,000 that included a 6% sales tax yields actual sales of $377,358.49.
A line has of a slope of -3 and Y intercept of 3 what is the X intercept of the line
keeping in mind that the x-intercept is where the graph touches the x-axis, and when that happens, y = 0, thus
[tex]\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad y=-3x+3 \\\\\\ \stackrel{\textit{setting y = 0}}{0=-3x+3}\implies -3=-3x\implies \cfrac{-3}{-3}=x\implies 1=x~\hfill \stackrel{\textit{x-intercept}}{(1,0)} \\\\\\ ~\hspace{34em}[/tex]
Answer: x-intercept = 1
Step-by-step explanation: To solve this problem, we need to remember that the y-intercept is the point where the line crosses the y-axis. So if our line has a y-intercept of 3, it crosses the y-axis up 3 units. So we start this problem by plotting the point (0,3) on y-axis and we can label that point A.
From there, our slope of -3 can be thought of as -3/1 so we go down 3 units and to the right 1 unit and we plot point B. Notice that point B happens to lie on the x-axis at (1,0) and it's important to understand that the x-intercept is the point where the line crosses the x-axis.
Since our line crosses the x-axis at the point (1,0), it as an x-intercept of 1. If you're given a y-intercept and a slope like you are in this problem, you won't always be able to determine the x-intercept but things work out nicely here because point B happens to lie on the x-axis.
I provided an image with the graph and my work as well.
At the depth of x metres the temperature of the water in an ocean is T degrees celsius at depths below 900 metres T is inversely proportional to x. T is given by T= 4500/x work out the difference in temperature of the water at a depth of 1200 metres and the temperature of the water at a depth of 3750 metres
Answer:
The difference in temperature between a depth of 1200 meters and 3750 meters is 2.55
Step-by-step explanation:
The temperature T of the water in an ocean at depth X below 900 meters is given by:
T= 4500/X
To calculate the difference between a depth of 1200 meters and 3750 meters, it is necessary to calculate the temperature individually.
first, 1200 meters and 3750 meters are below 900 meters, so the equation describe before is applicable.
As a result, for 1200 meters, the temperature (symbolized as T1) is given by:
T1=4500/X
T1=4500/1200
T1=3.75
For 900 meters, the temperature (simbolized as T2) is given by:
T2=4500/X
T2=4500/3750
T2=1.2
The difference between the temperature T1 and T2 is:
Difference in temperature = T1 - T2
Difference in temperature = 3.75 - 1.2
Difference in temperature = 2.55
So, the difference in temperature between a depth of 1200 meters and 3750 meters is 2.55
IF F , G and H are the midpoints of the sides of triangleJKL, FG = 37 , KL = 48 , and GH = 30, find each measure
Answer: The measure of JK is 60 and the correct option is d.
Explanation:
It is given that the points F, G, and H are the midpoints of the sides of triangle JKL , FG = 37, KL = 48, and GH = 30.
The point F is midpoint of JK, point G is midpoint of KL and the point H is midpoint of LJ as shown in figure .
According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third side.
By midpoint theorem,
Therefore the measure of JK is 60 and the correct option is d
The measure of FH = 24 units, measure of JL = 74, measure of KJ = 60
and, measure of FJ = 30.
What is coordinate geometry?
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
As given in the question,
F, G, and H are the midpoints of the sides of ΔJKL.
F is the midpoint of KJ, G is the midpoint KL, H is the midpoint of JL
Measure of the required sides are as follow:
FH = (KL / 2) (by midpoint theorem)
= (48/2)
= 24
JL = 2 x FG (by midpoint theorem)
= 2 x 37
= 74
KJ = 2 x GH (by midpoint theorem)
= 2 x 30
= 60
FJ = GH = 30 (by midpoint theorem)
Therefore, measure of FH = 24, measure of JL = 74, measure of KJ = 60 and measure of FJ = 30.
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a survey was taken of children between the ages 7 and 12. let A be the event that the person rides the bus to school, and let B be the event that the person has 3 or more siblings.
Answer:
The statement is true about whether A and B are independent eventa is fourth option:
A and B are not independent events because P(A/B)=0.375 and P(A)=0.25
Step-by-step explanation:
Let A be the event that the person rides the bus to school, then:
P(A)=75/300
P(A)=0.25
Let B be the event that the person has 3 or more siblings, then:
P(B)=24/300
P(B)=0.25
P(A/B)=9/24
P(A/B)=0.375
Like P(A/B)=0.375 is different to P(A)=0.25 the events are not independent
Answer. Fourth option:
A and B are not independent events because P(A/B)=0.375 and P(A)=0.25
correct answer is D
Please help me solve this.
Answer:
a) Option b
b) 7524
Step-by-step explanation:
a) The survey is to estimate the number of adults. Hence only adults should be surveyed and not senior citizens or houseowners. Since all adults cannot be surveyed a sample strictly at random of adults can be surveyed. Since option b satisfies this, we select b as answer.
b) Given that in the survey of 25 adults 11 voted in the last election.
Hence out of 17100 adults, no of adults who voted in the last election would be
[tex]\frac{11}{25} *17100 = 7524[/tex]
So out of 17100, 7524 adults would have voted in the last election.
Suppose you deposit $1500 in a savings account that pays interest at an annual rate of
6%. No money is added or withdrawn from the account How many years will it take for the account to contain 2500?
An item is regularly priced at 75 $ . It is on sale for 60% off the regular price. How much (in dollars) is discounted from the regular price?
Answer: $45.00
Step-by-step explanation:
75 x 0.60 = 45
Answer:
$30
Step-by-step explanation:
First, change the percentage into decimal:
60% = 60/100 = 0.6
Multiply 75 with 0.6:
75 * 0.6 = 45
Note that this number 45 (0.6 of 75) is the amount off from the original price (75). Subtract 45 from 75
75 - 45 = 30
$30 is your answer
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What is m∠S? Enter your answer in the box. ° An isosceles triangle with vertices labeled R, S, and T. Side R T is the base. Sides R S and side S T are equal. Angle R is labeled as 3 x degrees, angle S is labeled as 2 x degrees, and angle T is labeled as 3 x degrees.
Answer:
m<S = 45°
Step-by-step explanation:
The sum of the measures of the angles of a triangle equals 180 deg.
m<R + m<S + m<T = 180
3x + 2x + 3x = 180
8x = 180
x = 22.5
m<S = 2x = 2(22.5) = 45
In an isosceles triangle, the sum of the angles must equal 180 degrees. Given the angles labeled as multiples of x, solving for x gives 22.5 degrees, and m∠S is found to be 45 degrees.
Explanation:The student is asking to find the measure of angle S in an isosceles triangle with vertices labeled R, S, and T, where sides RS and ST are equal, and the angles at R and T are labeled as 3x degrees, and angle S as 2x degrees. Since the sum of angles in any triangle is always 180 degrees, we can set up an equation by adding the angles together: 3x (angle R) + 2x (angle S) + 3x (angle T) = 180. Simplifying the equation gives 8x = 180, and solving for x gives x = 180 / 8 = 22.5 degrees. Finally, to find m∠S, we substitute x back into the expression for angle S: m∠S = 2x = 2(22.5) = 45 degrees.
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plzz plzz help asap !!!!!!!!!!!!!!!!
Answer:
# left to right
Linear: 1,3,5
Non-linear: 2,4
Step-by-step explanation:
Anything in the y=mx+b format is automatically a linear function, therefore,
Linear: 1,3,5
Non-linear: 2,4
Can you plz help me with the following questions
1. Which choice(s) best shows the value of e' (or none): 5 + 8e > 76
2. Which choice(s) best shows the value of e' (or none): e * 7 < 28
[tex]5+8e > 76\qquad\text{subtract 5 from both sides}\\\\8e > 71\qquad\text{divide both sides by 8}\\\\\boxed{e=\dfrac{71}{8}}[/tex]
[tex]e\cdot7<28\qquad\text{divide both sides by 7}\\\\\boxed{e<4}[/tex]
Which construction is illustrated above ?
Answer:
Option 2.
Step-by-step explanation:
You are bisecting angle BAC with pencil and compass.
Answer:
The angle bisector of a given angle.
Step-by-step explanation:
From the construction, < BAC is the given angle. With any radius, draw arc BC. With any radius and points B and C as the centers consecutively, draw arcs to intersect at O. Join O to A. Line /AO/ is the angle bisector of the given angle <BAC.
The construction illustrated is the angle bisector of a given angle.
Determine which of the following terms is a function: a. (1,2) (2,4) (3,5) c. (1,2) (2,4) (2,6) b. (1,2) (2,3) (1,5) d. (1,2) (3,5) (3,7) Please select the best answer from the choices provided
Final answer:
Only the set of ordered pairs listed in option a. (1,2), (2,4), (3,5) represents a function because each element of the domain is mapped to a unique element of the range.
Explanation:
To determine which of the given terms is a function, we recall that a function is a relation where each element of the domain (the first member of an ordered pair) is mapped to a single, unique element of the range (the second member of the ordered pair).
Option a - (1,2), (2,4), (3,5) has no repeated domain elements, so it is a function.
Option b - (1,2), (2,3), (1,5) has the domain element '1' mapped to two different range elements (2 and 5), so it is not a function.
Option c - (1,2), (2,4), (2,6) has the domain element '2' mapped to two different range elements (4 and 6), so it is not a function.
Option d - (1,2), (3,5), (3,7) has the domain element '3' mapped to two different range elements (5 and 7), so it is not a function.
Therefore, the correct answer is: a. Function 1 only.
What is the surface area of the right prism?
A.) 192 ft²
B.) 264ft²
C.) 280ft²
D.) 384ft²
We have three pairs of rectangles:
16ft × 6ft = 96ft²
2ft × 6ft = 12ft²
2ft × 16ft = 32ft²
S.A. = 2 × (96 + 12 + 32) = 2 × 140 = 280ft².
Answer: C.) 280ft²The surface area of a right prism is given by summing the areas of all its faces.
Explanation:The surface area of a right prism can be calculated by finding the sum of the areas of all its faces.
Let's say the right prism has a rectangular base with length l, width w, and height h.
The surface area of the right prism would then be given by the formula:
Surface Area = 2lw + 2lh + 2wh
Substituting the given values into the formula will give us the surface area of the right prism.
For example, if l = 6ft, w = 8ft, and h = 7ft, the surface area would be:
Surface Area = 2(6)(8) + 2(6)(7) + 2(8)(7) = 192 + 168 + 112 = 472ft²
Therefore, none of the given options match the correct surface area.
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Fiona and Iliana went to a going-out-of-business sale at a local video store. The store was advertizing all HD videos on sale for one price and all classic videos for a different price. Fiona bought 5 HD videos and 2 classic videos for $31. Iliana bought 5 classic videos and 3 HD videos for $30. Which system of equations can be used to find the prices of the classic and HD videos?
Answer:
5h + 2c = 31
5c + 3h = 30
Step-by-step explanation:
Let h = HD video price
Let c = classic video price
Fiona bought 5 HD videos and 2 classic videos for $31
5h + 2c = 31
Iliana bought 5 classic videos and 3 HD videos for $30
5c + 3h = 30
This is the system of equations
5h + 2c = 31
5c + 3h = 30
Answer:
Correct answer on test is D. 5 x + 2 y = 31. 3 x + 5 y = 30.
Step-by-step explanation:
A recipe for 8 muffins requires 2 cups of flour how many muffins per cup of flour
Answer:
4 muffins
Step-by-step explanation:
just divide 8 by 2 or see how many times 2 can go into 8.
Answer:
4 muffins per cup of flour
Step-by-step explanation:
To solve this, simplify the ratio as much as possible
8 muffins : 2 cups of flour
You are solving for: x muffins : 1 cup of flour
Simplify. Divide common factors from both the numerator and denominator. In this case, divide 2.
8/2 = 4
2/2 = 1
4 muffins : 1 cups of flour is your simplified version.
4 muffins per cup of flour is your answer
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Please help me out with this problem
Answer:
First picture:
1)Given
2)Substitution
3) Subtraction Property of Equality
4)if altenate interior angles are equal, then the lines are parallel
Second picture:
1) Given
2)if lines are parallel, then the corresponding angles are equal
3)Substitution
4)if altenate interior angles are equal, then the lines are parallel
Use the drop-down menus to complete each equation so the statement about its solution is true?
5 - 4 + 7x + 1 = 7x + (5 - 4 + 1) = 7x + 2
NO SOLUTIONS:
5 - 4 + 7x + 1 = 7x + a (a - any real number, except 2)
ONE SOLUTION:
5 - 4 + 7x + 1 = bx + c (b - any real number, except 7, c - any real number)
INFINITELY MANY SOLUTIONS:
5 - 4 + 7x + 1 = 7x + 2
Examples:
2x + 3 = 2x + 5 subtract 2x from both sides
3 = 5 FALSE (NO SOLUTIONS)
2x + 3 = x - 4 subtract x from both sides
x + 3 = -4 subtract 3 from both sides
x = -7 (ONE SOLUTION)
2x + 3 = 2x + 3 subtract 2x from both sides
3 = 3 TRUE (INFINITELY MANY SOLUTIONS)
1) For No Solution
5 - 4 + 7x +1 = 7x
2) For One Solution
5- 4 +7x + 1 = 3
3) For No Solution
5 - 4 + 7x + 1 = 7x + 2
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
1) For No Solution
5 - 4 + 7x +1 = 7x
2) For One Solution
5- 4 +7x + 1 = 3
3) For No Solution
5 - 4 + 7x + 1 = 7x + 2
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The diameter of circle
C is 14 units.
What is the radius of circle C?
The radius of circle C is _____ units
Answer:
The radius = 7 units
Step-by-step explanation:
The diameter of a circle is twice the radius
d = 2r
If d =14 units
14 = 2r
Divide each side by 2
14/2 = 2r/2
7 =r
The radius = 7 units
Answer:
7 units
Step-by-step explanation:
Radius is the same as saying diameter divided by 2. 14 divided by 2 = 7, so the radius is 7 units.
As I was going to St. Ives
I met a man with seven wives.
Each of his wives had seven sacks,
Each of the sacks held seven cats,
Each of the cats had seven kitts.
Kitts, cats, sacks, and wives.
How many were going to St. Ives?
Consider the poem. Use repeated reasoning to write an expressions using whole number exponents that gives a solution to "How many were going to St. Ives?
Answer:
the answer should be 2,401 were going to St. Ives
Step-by-step explanation:
7 times 7 times 7 times 7 is 2401
Answer:
The answer is B. 7^0 + 7^1 + 7^2 + 7^3
Which number is NOT in the solution set of the inequality x > −15?
A) 10
B) −5
C) −10
D) −20
Answer: D).-20
Step-by-step explanation:
Answer:
-20
Step-by-step explanation:
write 16% as a decimal and as a fraction
and wat is ( 16+ (-2))^2
[tex]p\%=\dfrac{p}{100}\\\\16\%=\dfrac{16}{100}=\dfrac{16:4}{100:4}=\dfrac{4}{25}\\\\16\%=\dfrac{16}{100}=0.16\\--------------------------------\\\\(16+(-2))^2=(16-2)^2=14^2=196[/tex]
Solve: 7-5x= -5x - 6x +7
Answer:
actually it is x=0
Step-by-step explanation: