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2 years ago

Audrey bought shoes that were on sale for 70% off the regular price. Audrey saved $42.

Mathematics

2 answers:

sergeinik [125]2 years ago

6 0

Answer:

$60

Step-by-step explanation:

42 ÷ 70%

Calculate

$\frac{42}{0.7}$ Multiply both the numerator and denominator with the same integer

$\frac{420}{7}$ Cross out the common factor

Answer= $60

solniwko [45]2 years ago

5 0

60 because .7 times 60 equals 42 therefore the answer is 60

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The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo

Butoxors [25]

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

$y\leq 40-x$ ....(1)

$y\leq x-20$ ...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

$y=-x+40$ ...(3)

$y=x-20$ ...(4)

Adding equation (3) and (4) we get

$2y=20$

$y=10$

Substitute y=10 in equation (3) we get

$10=40-x$

$x=40-10=30$

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

$y=40$

Substitute y=0 in equation (3)

$x=40$

Substitute x=0 in equation (4)

$y=-20$

Substitute y=0 in equation (4)

$x=20$

Substitute x=0 and y=40 and in equation (1)

$40\leq 40$

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

$-20\leq -20$

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

5 0

3 years ago

Read 2 more answers

How old am I if 500 reduced by 2 times my age is 388

Nimfa-mama [501]

Remember you can do anything to an equation as long as you do it to both sides
a=age

500 reduced by 2 times a is equal to 388

500-2a=388
minus 500 both sides
-2a=-112
divide both sides by -2
a=56

you are 56

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2 years ago

Can anyone help me. greatly appreciate

mixas84 [53]

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7 0

2 years ago

**HELP!**

mr_godi [17]

If two figures or lengths are similar, then the ratios of the corresponding lengths are equal.
Thus, 8/32 =5/x
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Therefore, the length of the flag pole was 20 feet long

3 0

2 years ago

If a rectangle has an area of x^2+x-20 and a width of x-4, what is the length?

Mrac [35]

Answer:

This (x - 5) represents the length of the rectangle.

Step-by-step explanation:

The formula for the area of a rectangle of length L and width W is A = L * W.

Here, the width is x - 4 and the area is x^2 + x - 20. Dividing the width (x - 4) into the area results in an expression for the length:

x - 4 / x^2 + x - 20

Let's use synthetic division here. It's a little faster than long division.

If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:

4 / 1 1 -20

4 20

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1 5 0

This synthetic division results in a remainder of 0. This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor. From the coefficients 1 and 5 we can construct the other factor: (x - 5). This (x - 5) represents the length of the rectangle.

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2 years ago