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mylen [45]
3 years ago
9

A local clothing store sells t-shirts for $8 each, sweaters for $12 each, jeans for $15 each. Let x represent the number of t-sh

irts sold, y represents the number of sweaters sold, and z represent the number of jeans sold. Write an expression to represent the total amount of sales from t-shirts, sweaters, and jeans
Mathematics
1 answer:
Svetlanka [38]3 years ago
7 0

Answer:

8x + 12y + 15z

Step-by-step explanation:

Given the sales rate of three items: 8$ for t-shirts, 12$ for sweaters, and 15$ for jeans. It also states that these rates are represented by the corresponding variables being x for t-shirts, y for sweaters, and z for jeans.

To complete the expression, just combine the rate with the corresponding variables. i.e <u>8</u>$ for t-shirts, and <u>x</u> for shirts = 8x, <u>12</u>$ for sweaters and <u>y</u> for sweaters = 12y, <u>15</u>$ for jeans, and <u>z</u> for jeans = 15z. Finally, sum them together.

<u>8x</u> + <u>12y</u> + <u>15z</u>

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Trisha and Byron are washing and vacuuming cars to raise money for a class trip. Trisha raised $38 washington 5 cars and vacuumi
ANEK [815]

Answer:

They charged <u>$6</u> for washing and <u>$2</u> for vacuuming the car.

Step-by-step explanation:

Let the charge of washing a car be 'x'.

And also let the charge of vacuuming a car be 'y'.

Now according to question, Trisha raised $38 washing 5 cars and vacuuming 4 cars.

So framing the above sentence in equation form, we get;

5x+4y=38\ \ \ \ \ equation\ 1

Again according to question, Byron raises $28 by washing 4 cars and vacuuming 2 cars.

So framing the above sentence in equation form, we get;

4x+2y=28\ \ \ \ \ equation\2

Now multiplying equation 2 by '2', we get;

2(4x+2y)=28\times2\\\\8x+4y=56\ \ \ \ equation\ 3

Now we subtract equation 1 from equation 3 and get;

(8x+4y)-(5x+4y)=56-38\\\\8x+4y-5x-4y=18\\\\3x=18\\\\x=\frac{18}{3}=6

Now substituting the value of 'x' in equation 1, we get;

5x+4y=38\\\\5\times6+4y=38\\\\30+4y=38\\\\4y=38-30=8\\\\y=\frac{8}{4}=2

Hence They charged <u>$6</u> for washing and <u>$2</u> for vacuuming the car.

8 0
3 years ago
Can someone help me understand how to create 3 proofs
Katarina [22]

Step-by-step explanation:

If I'm understanding what a "proof" means, some answers could be:

2 + 3 = 5

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8 + 21 = 29

Hope this helps you! Have a good night!


7 0
3 years ago
HELP WILL GIVE BRANLIEST! WILL RATE! AND SAY THANKS!!!
Drupady [299]

Answer:

9.57 inch

Step-by-step explanation:

(4/3)×pi×8³ = 14×16×h

h = (4/3)×pi×8³ ÷ (14×16)

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Or, 9.57 inch (3 sf)

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Shtirlitz [24]

Step-by-step explanation:

Slope-intercept form: y = mx + c

y = x + 3 is already in this form.

3x + 3y = -9,

3y = -3x - 9

y = -x - 3.

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2 years ago
What is the sum of the first five terms in the series 7+12+17+..?
nirvana33 [79]
7 + 12 + 17 + 22 + 27 = ( 7 + 27 ) + ( 12 + 22 ) + ( 34 / 2 ) = ( 34 / 1 ) + ( 34 / 1 ) + ( 34 / 2 ) = ( 68 / 2 ) + ( 68 / 2 ) + ( 34 / 2 ) = 170 / 2 = 85 .
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3 years ago
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