Suppose you have a five dollar off coupon at a fabric store you buy a fabric that cost $10 per yard

1.)right in equation that models the total number of money, y, that you can buy x yards of fabric

2.) if you bought 9 yards of fabric how much will you pay

3.) if you paid $47.50 how many yards of fabric did you purchase

Answers

Answer 1
Answer:

1.) 10x-5=y

2.) $85

3.) 5.25 yards of fabric.

Step-by-step explanation:

1.) To write an equation for this problem, we need to figure out what every value means:

the variable x, represents the amount of yards of fabric you can buy

the variable y, represents the total amount of money after you found out (x) or the amount of yards of fabric.

1 yard of fabric equals $10, and we have a $5 coupon (-5)

Our equation is:

10x-5=y

This equation represents the relationship between the total cost of fabric, and the amount that you can buy.

2. In order to solve this problem we need to use our equation, one value is given which is 9.

9 represents x, the amount of yards of fabric.

Substitute 9 into x:

10(9)-5=y

Solve:

90-5=y

85=y

85 represents the cost of 9 yards of fabric, including the $5 coupon.

3.) This problem is similar to #2, although it's flipped.

The value given is $47.50, which represents (y), the total amount of money after (x) was found out.

But, we need to figure out (x).

Substitute $47.50 into (y):

10(x)-5=$47.50

Next, we need to figure out x by solving the opposite.

Adding the coupon to our answer can represent 10(x).

$47.50+5=52.50

10(x)=52.50

Lastly, divide both sides of the equation by 10.

10(x) / 10=52.50 /10

x=5.25

5.25 represents the amount of yards of fabric purchased if you paid $47.50.


Related Questions

Find the measure of the numbered angles.
Angle 1 =
Angle 2 =
Angle 3 =
Angle 4 =
Angle 5 =
Angle 6 =
Angle 7 =
Angle 8 =

Answers

Explanation in pictures.

Hope this helps!! Have a good day!

a) |9+x|=2x
b) |x+6|=2x+9

Answers

Answer:

a) 9

b) -3

Step-by-step explanation:

a)

|9+x|=2x

9 + x = 2x

   - x    -x

---------------

 9   =    x

b)

|x+6|=2x+9

x +6 = 2x +9

-x          -x

     6 = x + 9

    -9         -9

    --------------

       -3 = x

three forth of a number excceed its one third by 15, find the number​

Answers

The required value of x is 36

Step-by-step explanation :

Let the required number be x.

Three fourth of number = (3/4)x

One third of number = (1/3) x

According to the question ;

3x/4 = x/3 + 15

→ 3x/4-x/3 = 15

→ 9x - 4x / 12 = 15

→ 5x = 15 x 12

⇒ x = 180 / 5

⇒ x = 36

Hope this answer helps you..!!!

Does the table represent a function? Why or why not?

Answers

Answer:

D

Step-by-step explanation:

for a table to represent a function each x value can only have one y value here we see 5 have two different values, 3 and 2, so it is not a function

Find the total surface area.

Answer Options:
A. 422 in²
B. 517 in²
C. 554 in²
D. 638 in²

Answers

Answer:

D. 638 in^2

Step-by-step explanation:

total surface area is just the sum of areas of each side of the cube

opposite sides have the same area

top and bottom = 9*11

sides = 11*9

front and back = 11*11

SA = 2(9*11 + 11*9 + 11*11)

SA = 2(99 + 99 + 121)

SA = 2(319)

SA = 638 in^2

surface area of cylinder

Answers

Answer:

The answer is C. [tex]256\pi[/tex] [tex]in^2[/tex].

Step-by-step explanation:

To solve for the surface area of this cylinder, start by using the cylinder surface area formula, which is [tex]SA=2\pi rh+2\pi r^{2}[/tex]. Next, plug in the information given from the problem into the formula, which will look like [tex]SA=(2)(\pi )(8in)(8in)+(2)(\pi )(8in^{2})[/tex]. Then, simplify the equation, which will look like [tex]SA=(128in)(\pi) +(128in)(\pi)[/tex]. The next step is to simplify the equation further, which will look like [tex]SA= 256\pi[/tex] [tex]in^{2}[/tex]. The final answer is [tex]256 \pi[/tex] [tex]in^2[/tex].

what is the volume of the cylinder

Answers

I think the answer is C

I'm not sure

Find the measure of a.

Answers

Answer:

a is 44 degree

Step-by-step explanation:

do any of u know how to do this ?

Answers

Answer:

The correct answer is (B)

Step-by-step explanation:

remember it is (x,y) so -4 would be on the x axis, whereas the 0, is on the y axis.

The answer is B, have a great day!

Determine the period.

Answers

Answer:

2

Step-by-step explanation:

Basically, the period of a sinusoidal graph is the distance between one cycle to another. As can be visually seen, this is 2.

Answer:

2

Step-by-step explanation:

its right on Acellus

A recipe requires 500 mL of milk. You will make the recipe once a month for the next 4 months. You do not use milk other than for cooking. Which container of milk should you buy? (1L=1000 mL) *

Answers

Answer: 1 month = 500ml

4 month = 500ml × 4 = 2000ml = 2L

you should use the 2L container

Step-by-step explanation:

Use the function to answer questions #5-7.
please help with both

Answers

Answer:

2lnf .÷f35%vbbcy^hjv6bs8nc

The number seventeen and seven thousand in decimal form is​

Answers

Answer:

17.00 and 17,000.00

this is your answer to ur question

What are the coordinates of P?
(b,0
a,0
0,a
0,b

Answers

Answer:

a,0

Step-by-step explanation:

Look at point (a,b). Point (a,b) has the same x-coordinate as P. And then the y coordinate is 0 because it just sits on the x axis and doesn't go up any. Therefore the answer is P: (a,0).

plssssss help me answer this quickly

Answers

Answer:

Step-by-step explanation:

What is the area of the figure shown? Plz explain!

Answers

Answer:

D. ½y(x+z)

Step-by-step explanation:

the area = (x.y)+(½y(z-x))

= xy + ½ (yz -xy)

= xy +½yz -½xy

= ½xy + ½yz

= ½y(x+z)

1/5 of a wall every 1/4 hour what fraction represents the section of a wall jeb can paint in one hour

Answers

Answer:

4/5 of the wall

Step-by-step explanation:

In 1/4 of an hour, 1/5 of the wall is painted. That means that

in 4/4 of an hour (which is an hour), 4/5 of the wall is painted.

4/5 is your answer

HELP QUICK

Question 1 (1 point)
A wave travels at 3 000 m/s. If its wavelength is 6.0 m, what is its period?

Answers

Answer:

0.002 seconds

Step-by-step explanation:

Wave period = Wavelength/Velocity

Period = 6/3,000

Period = 0.002 seconds

Please help me expand theses and then help me factorise these brackets

Answers

Answer:

-9xy+16x

Step-by-step explanation:

x(y-2) +3x(6-y) -7xy

Distribute

xy -2x +18x-3xy -7xy

Combine like terms

-9xy+16x

Answer:

-9xy+16x

Step-by-step explanation:

x(y-2)+3x(6-y)-7xy

xy-2x+18x-3xy-7xy

xy-3xy-7xy-2x+18x

-9xy+16x

What connects a coefficient and a constant

Answers

Answer:

The variable

Step-by-step explanation:

Apply the distributive property to factor out the greatest common factor of all three terms. {24c + 36d + 18} =24c+36d+18=24, c, plus, 36, d, plus, 18, equals

Answers

Answer:

[tex]6(4c + 6d + 3})[/tex]

Step-by-step explanation:

Given

[tex]{24c + 36d + 18}[/tex]

Required

Apply distributive property

We have:

[tex]{24c + 36d + 18}[/tex]

Factor out 6 (to apply distributive property)

[tex]{24c + 36d + 18} = 6(4c + 6d + 3})[/tex]

Hence, the equivalent is:

[tex]6(4c + 6d + 3})[/tex]

A 32-ft pipe must be cut into three pieces. The longest piece will be twice as long as the shortest piece, and the medium-sized piece will be 4 feet longer than the shortest piece. Find the length of each piece of pipe.

Answers

Answer:

7, 11, 14 feet from shortest to longest

Step-by-step explanation:

Let's say that the shortest pipe is equal to x, and work from there.

The medium size piece is 4 feet longer than the shortest piece, so it is equal to 4+x

The longest piece is twice as long as the shortest piece, so it is equal to 2 * x.

The three pieces added up make up the 32 feet pipe, so we can write this as

(2*x) + (4+x) + x = 32

2*x + 4 + x + x = 32

4 * x + 4 = 32

subtract 4 from both sides to isolate the x and its coefficient

4 * x = 28

divide both sides by 4 to isolate the x

x= 7

Therefore, the shortest piece is x=7 feet long. The medium piece is x+4=11 feet long, and the longest piece is x*2=14 feet long

(2x+1)(x-1)=0
2x-10=5+3x​

Answers

Step-by-step explanation:

2x-3x=5+10

-x=15

X=-15

2x+1=0.... 1

X-1=0

X=1......2

Substitute the value of x in equation 1

2*1+1=0

2=1

So the value of x is 1 and 2

Answer:

x=-1/2

x=1

x=-15

Step-by-step explanation:

factories 2x^3+ 7x^2+ 7x +2 emergency pls ​

Answers

hope it helps you...............

Answer:

the answer is (x+1)(x+2)(2x+1)

eexpres -25/60 as a rational number whose denominator is -12​

Answers

Answer: 5/-12

Explanation

Divide both the denominator and the numerator by -5 to obtain the denominator of -12 and the numerator of 5.

5/-12

Hope this helps :)

I NEEDDD HELPP ITS URGENTTT. !!

Answers

Answer:

use the information provided to write the standard form equation of the circle

1. ends of a diameter: (11,-6) and (1,14)

use the information provided to write the genral conic form equation of each circle.

1. three points of the circle:

( 7,-4)(-3,-4) and ( 6,-7)

identify the centere and radius. then sketch the graph

1. x^2+y^2-4x-14=0

How do you write 6.45 in scientific notation?

Answers

Answer:

the decimal number 6.45 written in scientific notation is 6.45 × 100 and it has 3 significant figures.

Step-by-step explanation:

What is x² − 4x + 7 factored?

Answers

Answer:

The expression is not factorable with rational numbers.

x² − 4x + 7

The area of the triangle shown is represented by A=s(s−21)(s−17)(s−10)−−−−−−−−−−−−−−−−−−−−√, where s is equal to half the perimeter. What is the height h of the triangle?

Answers

Answer:

9.88 units

Step-by-step explanation:

We are given that area of triangle  is given by

[tex]A=\sqrt{s(s-21)(s-17)(s-10)}[/tex]

s=Half perimeter

By comparing with

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

We get

a=21

b=17

c=10

[tex]s=\frac{a+b+c}{2}=\frac{21+17+10}{2}=24[/tex]

Now, the area

[tex]A=\sqrt{24(24-21)(24-17)(24-10)}[/tex]

A=84

Area of triangle, [tex]A=\frac{1}{2}\times bh[/tex]

b=17

[tex]84=\frac{1}{2}(17)(h)[/tex]

[tex]h=\frac{84\times 2}{17}[/tex]

[tex]h=9.88 units[/tex]

Hence, the height of the triangle=9.88 units

(x^2-4x)^2+(x-2)^2+10

Answers

Answer:

x^4-8x^3+17x^2-4x+14

Step-by-step explanation:

Answer:

nan

Step-by-step explanation:

see the above picture

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