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ad-work [718]
3 years ago
7

the sales tax on the purchase of a futon is 33.53.if the tax rate is 7%,find the purchase price of the futon.

Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0
2.3471 or 2 dollars and 35 cents
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A rectangle or piece of paper has a width is 3 inches less than its link it is cut in half along a diagonal to create two congru
kolezko [41]

The length and width of the rectangle is 11 in and 8 in respectively.

Step-by-step explanation:

Given,

The width of a rectangle is 3 in less than the length.

The area of each congruent right angle triangle = 44 in²

To find the length and width of the rectangle.

Formula

The area of a triangle with b base and h as height = \frac{1}{2}bh

Now,

Let, the width = x and the length = x+3.

Here, for the triangle, width will be its base and length will be its height.

According to the problem,

\frac{1}{2}×(x+3)×x = 44

or, x^{2} +3x = 88

or,x^{2} +3x-88 = 0

or, x^{2}+(11-8)x-88 = 0

or, x^{2}+11x-8x-88 =0

or, x(x+11)-8(x+11) = 0

or, (x+11)(x-8) = 0

So, x = 8 ( x≠-11, the length or width could no be negative)

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3 0
3 years ago
△WPJ∼△DNJ<br> What is PWPW ?<br> Enter your answer in the box.
Kruka [31]
Use <em>CPCTC</em> and make ratios and proportionalities to find the value of segment PW:

If △WPJ∼△DNJ, then according to CPCTC, WP must be proportional to DN and PJ must be proportional to JN. Now, we can make a ratio:

\frac{WP}{DN}= \frac{PJ}{NJ} 

Substitute the values that are given in the diagram.
DN=87.5
NJ=56
PJ=64

\frac{WP}{87.5}= \frac{64}{56}

Solve for x. You can do it by cross-multiplication.

\frac{WP}{87.5}= \frac{64}{56} \\ 56*WP=64*87.5 \\ 56*WP=5600 \\ WP=100

The measure of segment WP is 100 meters.

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3 years ago
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Answer:

m = 28g

Step-by-step explanation:

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Can someone please help me with this
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A. The reduction in Angela’s tips are cause by low restaurant sales. Even tho shes still getting her 20% it’s less money due to the fact they’re less customers
7 0
3 years ago
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16 is 20% of what? Need answer ASAP
xenn [34]

Answer:

80

Step-by-step explanation:

16=20/100

y=3 x 100/20

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