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Nesterboy [21]
3 years ago
12

Terry goes to the store to buy a shirt. The original price is $32. The shirt is

Mathematics
1 answer:
Anton [14]3 years ago
8 0

Answer:

The closest amount paid is $23

<em></em>

Step-by-step explanation:

Given

Price = \$32

Mark\ down = 20\%

Amount = 10% of Marked down price

Required

Determine the amount paid

First, we calculate the marked down price P2:

P_2 = Price(1 - Mark\ down)

Substitute values for Price and Mark down

P_2 = \$32 * (1 - 20\%)

Express percentage as decimal

P_2 = \$32 * (1 - 0.20)

P_2 = \$32 * (0.80)

Remove bracket

P_2 = \$32 * 0.80

P_2 = \$25.6

The payable amount is 10% off the marked down price,

This is calculated as:

Amount = P_2 - P_2 * 10\%

Substitute $25.6 for P2

Amount = \$25.6  - \$25.6* 10\%

Express percentage as decimal

Amount = \$25.6  - \$25.6* 0.10

Amount = \$25.6  - \$2.56

Amount = \$23.04

<em>The closest amount paid is $23</em>

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3 0
3 years ago
What is 6 to the negative 1 times (-2) to the third power times (-4) to the negative 2
nasty-shy [4]
The answer is:  \frac{1}{12}  .
____________________________________________
Explanation:
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We have:   " 6⁻¹  *  (-2)³  * (-4)⁻² = ? " ;
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Note:  "6⁻¹ = \frac{1}{6^1} = \frac{1}{6} "  .
 
Note the following property of exponents:
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           a⁻ˣ = \frac{1}{x^a} ;  {x ≠ 0}.
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Note:  (-2)³  = (-2)*(-2)*(-2) = 4*(-2) = -8 .
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Note:  (-4)⁻²  = \frac{1}{(-4)^2}  ;
 
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So; we have:
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6⁻¹  *  (-2)³  * (-4)⁻²  ;

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→ Cancel out the "8" in the "numerator" (to a "1") ; and the "16" in the number (and change to a "2"); since: {"16÷8 = 2" ; and since:  "{8÷8=1"} ;

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\frac{(1*1*1)}{(6*2)} ;

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 → The answer is:  \frac{1}{12}  .
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3 0
3 years ago
An animal shelter spends $5.50 per day to care for each bird and $8.50 per day to care for each cat. Anna noticed that the shelt
Mama L [17]

Answer:

19

Step-by-step explanation:

We can solve this problem using a system of equation in two unknowns.

Let b = number of birds.

Let c = number of cats.

The care of a bird costs $5.50, so for b number of birds, the cost of care is 5.5b.

The care of a cat costs $8.50, so for c number of cats, the cost of care is 8.5c.

The total cost of care for the birds and cats is 5.5b + 8.5c.

The total cost of care is $291.50. This must equal the expression we have above, so we get our first equation.

5.5b + 8.5c = 291.5

The total number of birds and cats is b + c, but we are told it is 41, so our second equation is:

b + c = 41

We now have the following system of two equations in two unknowns.

5.5b + 8.5c = 291.5

b + c = 41

Rewrite the first equation.

Multiply both sides of the second equation by -8.5, and write it under the first equation. Then add the equations.

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Divide both sides of the equation by -3.

b = 19

Answer: there were 19 birds

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