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3 years ago

Find the value of x, y, and z

Mathematics

1 answer:

kaheart [24]3 years ago

5 0

Answer:

y=40

x=59

z=81

Step-by-step explanation:

therfore..40+59+81=180

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Evelyn went shopping with half of her monthly allowance. She spent $39.95 on a dress and 3/7 of the remainder on some accessorie

Gnoma [55]

Answer:

Evelyn monthly allowance is $187.

Step-by-step explanation:

Let the monthly allowance be 'x'.

Given:

Money taken with for shopping = $\frac{x}{2}$

Money spent of dress = $39.95

Also Given:

3/7 of the remainder on some accessories.

Money spent on accessories is equal to $\frac{3}{7}$ times Difference of monthly allowance and Money spent of dress.

framing in equation form we get;

Money spent on accessories = $\frac{3}{7}\times(\frac{x}{2}-39.95)$

Also Given:

Money left after shopping = $30.60

Now we know that;

Money taken with for shopping is equal to sum of Money spent of dress and Money spent on accessories and Money left after shopping.

framing in equation form we get;

$\frac{x}{2}=39.95+\frac{3}{7}(\frac{x}{2}-39.95)+30.60\\\\\frac{x}{2}=39.95+\frac{3x}{14}- 17.12 +30.60$

Combining like terms we get;

$\frac{x}{2}-\frac{3x}{14}=39.95-17.12+30.60\\\\\frac{x}{2}-\frac{3x}{14}= 53.43$

Now we will make denominator common using L.C.M

$\frac{x\times 7}{2\times7}-\frac{3x\times1}{14\times1}= 53.43\\\\\frac{7x}{14}-\frac{3x}{14}= 53.43\\\\\frac{7x-3x}{14}=53.43\\\\\frac{4x}{14}=53.43\\\\4x=53.43\times14\\\\x= \frac{53.43\times14}{4} = \$187$

Hence Evelyn monthly allowance is $187.

3 0

4 years ago

Question 7 of 8 Which expressions describe the area of the shaded region? Select all that apply. A rectangle is divided into 12

SSSSS [86.1K]

Answer:

D. 1 4 × 1 3 E. 4 12 × 3 6

Step-by-step explanation:

D. 1 4 × 1 3 E. 4 12 × 3 6

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3 years ago

The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph: A graph titled Mo

yan [13]

Answer:4

Step-by-step explanation:because 4

7 0

3 years ago

Read 2 more answers

1. Find the area of the shaded region. ( the picture )

lord [1]

1. Can't be answered without the picture
2. 74

26+3x=y
90-x=y, Multiply by 3, 270-3x=3y
Add to isolate y
296=4y, y=74

3. 46

Perimeter=2w+2l

4. 104.5

Area of a triangle= 1/2bh

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3 years ago

Which statements are true about the expression 8(a+7)

scZoUnD [109]

Answer:

The answer is (8a)+(a7)

Step-by-step explanation:

From 8(a+7) it can also be written as (8a)+(a7)

7 0

3 years ago

Find the value of x, y, and z​

Find the value of x, y, and z