Tori and her two best friends are all dressing up as superheroes for Halloween
this year. Their costumes are almost ready, but each person still needs to
make a cape. If each cape uses 4 feet of cloth, how many yards of cloth will
they use for the 3 capes?

Answer:

Can you tell me what i'm supposed to be finding

Step-by-step explanation:

Answer would be Angle as it has 2 rays and the same endpoint

Answer:

70 students and 130 adults

Step-by-step explanation:

Answer:

-240

Step-by-step explanation:

−16√3⋅5√3

-16(5)√(3*3)

When you multiply numbers with the same radical (in this case square root) the numbers inside the radical can be multipled with each other. The numbers outside (in this case -16 and 5) should also be multiplied with each other.

-16(5)√9

-80√9

-80*3

-240

Answer:

0.00825814344701024621501758678697

Step-by-step explanation:

Use a calculator please<3

The value of the expression w-8 is 6 when w=8

An expression is combination of variables, numbers and operators.

The given expression is w minus 8

w-2

The w is the variable and 2 is the number and minus is the operator

Now given variable w is 8

So substitute the value 8 in the expression w-2

8-2=6

Hence 6 is the value of the expression w-2 when w=8

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The equation of the line that passes through the point (-6, 6) and (-3, 7) is y = 1 / 3 x + 8

The equation of a line in slope intercept form can be represented as follows:

y = mx + c

where

Hence, the line passes through the point (-6, 6) and (-3, 7)

m = slope = 7 - 6 / -3 + 6

m = 1 / 3

Therefore, the y-intercept of the line can be found using (-6, 6)

y = 1  /3 x + b

6 = 1 / 3 (-6) + b

6 = -2 + b

b = 6 + 2

b = 8

Therefore, the equation of the line is y = 1 / 3 x + 8

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Answer:

A ≈ 314.2 units

Step-by-step explanation:

       To find the area of the circle, we will use the given formula. We are given the diameter (d), 20, and the radius (r) is half of the diameter. 20 units / 2 = 10 units for our radius (r).

               A = πr²

               A = π(10)²

               A ≈ 314.15927

       Now, we are asked to round to the nearest tenth.

               A ≈ 314.2 units

Answer:

The correct answer is: c) 3r + 6s

Step-by-step explanation:

the first 3 pounds are always going to be r dollars, then every additional pound will be s dollars.

Since we have a package that weighs 9 pounds; 3 pounds will cost r dollars and 6 pounds wills cost s dollars.

example:

lets say that r = 10 and s = 5

the first 3 pounds will cost 10 dollars and then every pound after would be 5 dollars

so:  

3(10) + 6(5)

This is just an example, since we don't know the actual values of r and s, we just use those variables.

The standard form of the equation of the given straight line is 4x + (-7)y = 13.

We are given an equation. The equation is linear in nature. The equation represents a straight line. The equation is given below.

8x = 26 + 14y

We need to convert this equation to standard form. The standard form of an equation for a straight line is given below.

Ax + By = C

We need to rearrange the given equation so that it matches the correct format. The equation is written below.

8x - 14y = 26

We can simplify the equation further by dividing the whole equation by two.

4x + (-7)y = 13

Hence, the standard form of the equation is 4x + (-7)y = 13.

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Answer:

it would already be in it the y is alone

Answer:

View explanation.

Step-by-step explanation:

y =  -2x+10

M is the slope or how much the y value increases every time the x value increases by one. b is the y-intercept or when x=0.

It is already in y=mx+b form.

The solution set of the inequalities can be identified by investigating the coefficient of x^2

The graph of a parabola is represented by a curve as used in the graphs attached in the equation

Parabolic graphs are also called graph of quadratic equation

The equation is usually in this form

y = ax^2 + bx + c

when it is "y =" it is a vertical parabola the graph will either opens up or down

The coefficient  of "x^2" which is "a" says if the curve opens upwards or downwards. when a is:

y > x^2 - 1 "a" is positive hence opens upwards

y ≤ -x^2 + 4  "a" is negative hence opens downwards

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Answer:

23) $248,943.75

24) $384

Step-by-step explanation:

23) 266,250/100= 2662.5 which is 1%

     2662.5×6.5=17,306.25 which is 6.5%

     Since it is a mark up we subtract 17,306.25 from 266,250 to find the

     original price.

24) 320÷10=32 which is 10%

     32×2= 64 which is 20%

     Since it is a discount we add 64 to 320 to find the original price.

;)

Answer:

B

Step-by-step explanation:

You Basically need to find halfway between 5a and -3 which has a difference of 8 so halfway is 4 so 3a +4=a

and as it is on the same line it would be (a,-2b)

The amount of water needed to drink with their 50 guests is 900 liters.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

In a town, 100 people need 600 liters of water to drink every day.

This can be written as,

100 people = 600 liters of water

50 guests are added.

The number of people = 100 + 50 = 150 people.

Now,

100 people = 600 liters of water

Multiply 150/100 on both sides.

150 people = 150/100 x 600 litres of water

150 people = 900 liters of water

Thus,

The amount of water needed to drink with their 50 guests is 900 liters.

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Answer:

y=9

x=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Bring one of the equations into the other one:

3x = x + 6

3x - x = 6

2x = 6

x= 3

Then, bring the found value to find the value other variable:

y = 3x = 3(3) = 9

According to the concept of card payment, the true statement is "If you purchase an item using debit card, the money will deducted from your bank account".

Card payment:

Card payment refers any transaction whereby the Card is used to settle bills or to pay for certain goods and/or services at a Post Office branch.

Given,

Here we need to find the true statement according to the purchase.

While we looking into the given options,

The first option is incorrect because it says there is no interest for credit card purchase. This one is wrong because we have to pay interest for credit card purchase.

The second option is wrong because it tells that the money will be deducted from your account. If anyone can purchase using the credit card the money will only be deducted at the end of the month with some interest on it.

The third option is incorrect because debit card transaction are truly based on the amount within you account so it is not a borrowed one.

Therefore, the final statement is the correct one.

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Answer:

No they are not

Step-by-step explanation:

6.23x10^2=623

62,300/10^3=62.3

623>62.3

-Hope this helped

For the quadratic function y = ax² + bx + c , for which graph passes through the points (2, 31), (3 , 45) , (1, 19) is given by y = x² + 9x + 9.

As given in the question,

Standard form of quadratic function,

y = ax² + bx + c

Graph of the quadratic function passes through the points  (2, 31),

(3 , 45) , (1, 19) .

When passes through (2, 31)

31 = 4a + 2b + c __(1)

Passes through (3,45)

45 = 9a + 3b + c  __(2)

Passes through (1, 19)

19 = a + b + c __(3)

Multiply 9 to (3) and subtract (2) from it,

9a + 9b + 9c =171

9a +3b + c = 45

      6b + 8c = 126 ____(4)

Now, Multiply 4 to (3) and subtract (1) from it,

4a + 4b + 4c =76

4a +2b + c = 31

      2b + 3c = 45____(5)

Multiply 3 to (5) and subtract (4) from it,

6b + 9c = 135

6b + 8c =126

       c = 9

Substitute c= 9 in (5) we get,

2b + 3(9) = 45

⇒ b = 9

Now , substitute b = 9, c = 9 in (3) we get,

a + 9 + 9 = 19

⇒ a = 1

Required quadratic function is :

y = x² + 9x + 9  

Therefore, for the quadratic function y = ax² + bx + c , for which graph passes through the points (2, 31), (3 , 45) ,(1, 19) is given by y =x² + 9x + 9.

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Answer:

1. 104

2. 38

3. 38

Step-by-step explanation:

3x + 66 = 180

3x = 114

x = 38

Answer:

70/3

Step-by-step explanation:

[tex]f(0)=\frac{140}{1+5e^{-2(0)}} \\ \\ =\frac{140}{1+5(1)} \\ \\ =\frac{140}{6} \\ \\ =\frac{70}{3}[/tex]

Answer:

Below

Step-by-step explanation:

3 6 and 7  = 82 °

1 4 5 8 = 180 - 82 = 98 °

Answer:

34a^3

Step-by-step explanation:

Since every term is alike we can add and subtract freely

(I wont be writing a^3 on every term to make this less confusing)

17 + 19 - 25 - (-17 + 19 - 25)

first the parenthesis do what is inside the parenthesis

17 + 19 - 25 - (-23)

now add everything

11 - (-23)

simplify

11 + 23

34

everything of course has a^3 at the end so

34a^3 is the answer

For the given line of best fit, equation which represents the prediction of values between the actual data points is representing an example of interpolation.

As given in the question,

Given line of best fit equation,

Here prediction is to be done for the values which are between the actual data points.

The predicted values are within the range.

Predicted values represents either extrapolation or interpolation

If predicted values are outside the actual points it is extrapolation.

Here it is between the actual data points.

So, it is interpolation.

Therefore, for the given line of best fit, equation which represents the prediction of values between the actual data points is representing an example of interpolation.

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The revised coordinates for the indicated site are (6, 3).

Given information;

Location of Point n (3, 5). The new coordinates will be if point n is moved 2 units down and 3 units right.

To get new coordinates we have to transform given points;

Transformation of the coordinate system: 

Defining new coordinate systems on the plane frequently involves coordinate transformations. The transformation's u- curves are representations of vertical lines with the form u- constant, while the v- curves are representations of horizontal lines with the form v- constant.

∴ (3, 5) ⇒ (3 + 3, 5 - 2)

           ⇒ (6, 3)

Hence, (6, 3) are the new coordinates of the given point.

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If the Wilson family drove 472 miles in 8 hours. The family that traveled at the higher rate of speed  and  rate is: D: Wilson; 59 mi/h

Using this formula to find the speed

Speed = Distance /Time

Let plug in the formula

Rate of speed for Gonzalez family

Rate of speed  = 342 ÷ 6

Rate of speed = 57 mph

Rate of speed  for Wilson family

Rate of speed = 472 ÷ 8

Rate of speed = 59 mph

Therefore the correct option is D.

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Answer:

1. 8.9x10^5

2. 5.05x10^1

3. 7x10^26

4. 1.8x10^11

5. 4x10^4

6. 7x10^-18

7.  7.1x10^4

8. 6.6x10^-3

9.  9x10^19

10. 1.8x10^7

11. 2x10^10

12. 5x10^10

The equation in slope intercept form is y = -4x + 24.

From the graph:

yellow points are (6,0) and (4,8).

slope intercept form is y = mx + c.

slope m = 8 - 0 / 4 - 6

= 8/-2

= -8/2

= -4

Substitute  m and (6,0)

y = mx + c

0 = -4*6 + c

c = 24

y = mx + c

y = -4x + 24.

Therefore The equation in slope intercept form is y = -4x + 24.

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