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Romashka [77]
3 years ago
14

Tools return to our hardware store as damaged or resold has damaged at a reduced price 32% of the original price of $164.95. wha

t was the new price?​
Mathematics
2 answers:
Anna [14]3 years ago
8 0

Answer: The new price is $ 112.17

Step-by-step explanation:

Hi, to solve this problem we have to calculate the 32% of the original price ($164.95).

So:

$164.95 x 0.32= $52.78

Now that we have calculated the percentage, the next step is to subtract that result to the original price.

$164.95 - $52.78 =$ 112.17

The new price is $ 112.17

Feel free to ask for more if it´s necessary or if you did not understand something

Alina [70]3 years ago
5 0

Answer:

$112.17

164.95 * 0.32 = 52.784

164.95 - 52. 784 = 112.166

112.166 = 112.17

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Find x in the following diagram
andreyandreev [35.5K]

Answer:

x = 71

Step-by-step explanation:

The sum of the measures of the exterior angles of a polygon is always 360°.

A triangle has 3 exterior angles.

152+ 137+x = 360

Combine like terms

289 +x = 360

Subtract 289 from each side

289-289+x=360-289

x = 71

8 0
3 years ago
Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and
MakcuM [25]

Answer:

The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8

Step-by-step explanation:

<u><em>The complete question is</em></u>

Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and each peach costs $2. She bought  a total of 14 peaches and bananas altogether. Determine the number of peaches and the  number of bananas that Emily bought

Let

x ----> the number of bananas that Emily bought

y ----> the number of peaches that Emily bought

we know that

She bought  a total of 14 bananas and peaches altogether

so

x+y=14 -----> equation A

She bought $20.80 worth of bananas and peaches

so

0.80x+2y=20.80 -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (6,8)

see the attached figure

therefore

The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8

3 0
3 years ago
The California Tiger Salamander is an endangered species, which decreases at the rate of 4.6% per year in a habitat that current
stellarik [79]

Answer:

Population after 4 years = 49 (nearest unit)

Population after 5 years  = 47 (nearest unit)

Step-by-step explanation:

Yearly decrease = 4.6%

Decrease factor (what's left) = (100-4.6)% = 0.954

Current population, P = 60

population after n years = P(0.954)^n  (to the nearest unit)

Population after 4 years = 60(0.954)^4 = 49.7 = 49 (nearest unit)

Population after 5 years  = 60(0.954)^5 = 47.4 = 47 (nearest unit)

5 0
3 years ago
Read 2 more answers
Which box of crackers is a better deal?
a_sh-v [17]

Answer:

Since each cracker in the 190 gram box costs $ 0.0078 while the 850 gram box costs $ 0.0082 each, the 190 gram box is a better deal.

Step-by-step explanation:

Knowing that a 190-gram box of crackers costs $ 1.49 and an 850-gram box costs $ 6.99, to determine which of them is a better deal, the following calculation must be performed:

1.49 / 190 = 0.0078

6.99 / 850 = 0.0082

Therefore, since each cracker in the 190 gram box costs $ 0.0078 while the 850 gram box costs $ 0.0082 each, the 190 gram box is a better deal.

8 0
3 years ago
Matt and Anna Killian are frequent fliers on​ Fast-n-Go Airlines. They often fly between two cities that are a distance of 1980
Ymorist [56]

Answer:

y (plane speed) 400 miles/hr

x (wind speed)  40 miles/hr

Step-by-step explanation:

going into the wind make the plane flew 5,5 hours to get 1980 miles, implies the real travel speed was

1980 / 5,5 = 360 miles/hours, and at the same time is the result of:  

speed plane (y)  in direction A to B  plus wind speed (x) in direction B to A. Notice opposites direction speed, so we have:

y + (-x) = 360          (1)

The return fly  took 4,5 hours so 1980/4,5 = 440 miles/ hours as the result

Y + x = 440             (2)

We have a two equation with two variables system, It could be solved for any of the procedures. We will use the substitution method.

From equation      (1)        y + (-x) = 360         y  - x = 360      y = 360 + x    (1)

In the second equation    

y + x = 440         then we replace y for its value as function of x

(360 + x ) + x = 440

Solving for x        360 + 2x = 440      or    2x = 440 – 360        

 x   (440 - 360)/2

 x = 40 miles/hr

 X (wind speed ) = 40 miles/hr

And replacing the value of x in eq. (1)        y = 360 + 40 = 400

Y (plane speed) = 400 miles /hr

3 0
3 years ago
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