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Leni [432]
3 years ago
8

If you purchase a $24 pair of shoes at a 10% discount and a $10 belt at a 25% discount, what is the total price you owe, before

tax?
Mathematics
1 answer:
zubka84 [21]3 years ago
4 0

Answer: $29.10

Step-by-step explanation:

Shoes:

10% of 24 is 2.4

The shoes cost 21.60  with the 10% discount and before tax.

Belt:

25% of 10 is 2.5

The belt cost $7.50 with the 25% discount and before tax.

Total:

You still owe 29.10 for the belt and shoes before tax.

You saved $2.4 on the shoes and $2.5 on the belt (total of $4.90)

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Answer:

Probability that the first vehicle selected is a motorcycle and the second vehicle is a van is (24/187) or 0.1283.

Step-by-step explanation:

We are given that an automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 were vans.

Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles.

As we know that, <u>Probability of any event</u>  =  \frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}

<u>Now, Probability that the first vehicle selected is a motorcycle is given by;</u>

                   =  \frac{\text{Number of motorcycles}}{\text{Total number of vehicles}}

Here, Number of motorcycles = 16

Total number of vehicles = 16 + 9 + 9 = 34

So, <em>Probability that the first vehicle selected is a motorcycle</em> =  \frac{16}{34}

<u>Similarly, Probability that the second vehicle is a van is given by;</u>

              =   \frac{\text{Number of vans}}{\text{Total number of remaining vehicles}}

Here, Number of vans = 9

And Total number of remaining vehicles after selecting one motorcycle = 34 - 1 = 33

So,<em> Probability that the second vehicle selected is a van</em> =  \frac{9}{33}

Therefore, the probability that the first vehicle selected is a motorcycle and the second vehicle is a van  =  \frac{16}{34}\times \frac{9}{33}

                                               =  \frac{24}{187}  =  <u>0.1283</u>

5 0
3 years ago
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Answer:

c. 24

Step-by-step explanation:

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3 years ago
Jacob paid $987 for a laptop which was 60% off the original price. What was the
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Step-by-step explanation:

987 = ( 1 - 0.6 )x

987 = 0.4x

x = 2467.5

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Sam drove 220 miles on 8 gallons of gas. find the unit rate.
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Step-by-step explanation:

7 0
3 years ago
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Let angle 1 and angle 2 be complementary. If má 1 = 4x +3 and m42 = x + 2, find the measure
Andre45 [30]

Answer:

m∠1 = 71°

Step-by-step explanation:

Angle 1 and 2 are complementary, meaning the measures of the two angles add up to 90°.

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m∠1 = 71°

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