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Debora [2.8K]
3 years ago
7

In a certain area, there are 35 houses to 55 businesses. Write the ratio of houses to

Mathematics
1 answer:
ratelena [41]3 years ago
3 0

Answer:

\frac{7}{11}

Step-by-step explanation:

Express the fraction as number of houses over number of businesses, that is

ratio = \frac{35}{55}

Divide numerator and denominator by 5 for simplest form

ratio = \frac{7}{11}

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If I bought shoes for 32.30 with 15% off 7%sales tax a 25dollar gift card but had a coupon that was forgotten for 5%off the orig
Otrada [13]

Answer:

 $4.37 cash outlay

 $29.37 total amount paid, partly with gift card

Step-by-step explanation:

The discount was ...

  0.15 × $32.30 = $4.845 ≈ $4.85

So the price to which tax is added is ...

  $32.30 -4.85 = $27.45

The amount of tax is 7% of this value, or ...

  tax = $27.45 × 0.07 = $1.9215 ≈ $1.92

So, payment is made on the amount ...

  $27.45 + 1.92 = $29.37

$29.37 is the total amount paid.

If $25 is paid using a gift card, then the cash outlay is $4.37.

_____

Usually only a single coupon can be applied to a given purchase. Since the 15% store discount exceeds the amount of the 5% coupon left at home, it makes more sense to claim the 15% store discount and save the 5% coupon for another time.

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<em>Alternate interpretation</em>

If, by some magic, both discounts could be applied, then the amount to be paid is $27.65, of which $2.65 exceeds the gift card amount. The calculation proceeds the same way, except that 20% is used instead of 15%.

4 0
3 years ago
The difference between two numbers is 9, and the sum of the squares of each number is 153. What is the value of the product of t
Mandarinka [93]
Numbers are 3 and 12
The product is 36
3 0
3 years ago
What is the inverse of A(r)=15+3r
mel-nik [20]

Answer:

A(r)=15-3r

Step-by-step explanation:

switch the sign of +3r to make it -3r

5 0
3 years ago
A circle with radius 9 has a sector with a central angle of 120°.
Vitek1552 [10]

120º is 1/3 of a complete revolution of 360º. So the area of this sector should be 1/3 the area of the complete circle.

A circle with radius 9 has area 9^2 π = 81π.

So the sector has area 81π/3.

Put another way: The area <em>A</em> of a circular sector and its central angle <em>θ</em> (in degrees) occur in the same ratio as the area of the entire circle with radius <em>r</em> according to

<em>A</em> / <em>θ </em>º = (π <em>r </em>^2) / 360º

==>  <em>A</em> = π/360 <em>θ r</em> ^2

In this case, <em>r</em> = 9 and <em>θ</em> = 120º, so

<em>A</em> = π/360 * 120 * 81 = 81π/3

8 0
3 years ago
Given g(x) = 1/x+2 and h(x) = 3x<br> check all restrictions on the domain of gh
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

C

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