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FinnZ [79.3K]
2 years ago
10

 A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of

miles he can afford to ride in the taxi?
Mathematics
1 answer:
egoroff_w [7]2 years ago
7 0
Flat fee:  $1.25; cost per mile:  $0.75.  Cost per x miles:  ($0.75)x.

Therefore:  $14 = $1.25 + $0.75x.  Solve this for x:

$12.75 = $0.75x.  Divide both sides by $0.75:    x = $12.75 / $0.75 = 17

He can afford to ride up to 17 miles in the taxi.

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Find each number. Round to the nearest tenth if necessary
Pavel [41]

Answer:

  1. 96
  2. 6.9
  3. 25%
  4. 8%
  5. 79
  6. 33.8

Step-by-step explanation:

Here is the complete question: Find each number. Round to the nearest tenth if necessary.

  1. 80% of 120.
  2. 115% of 6
  3. What percent of 128 is 32?
  4. 3 is what percent of 36?
  5. 23.7 is 30% of what number?
  6. 71/2% of what is 12?

1) 80% of 120

= \frac{80}{100} \times 120= 8\times 12

= 96

∴ 80% of 120= 96

2) 115\%\ of\ 6

=\frac{115}{100}\times 6= 1.15\times 6

∴ 115\%\ of\ 6 = 6.9

3) What percent of 128 is 32?

= \frac{32}{128} \times 100

= 25\%

4) 3 is what percent of 36?

= \frac{3}{36} \times 100

= 8\%

5) 23.7 is 30% of what number?

Let the number be "x".

⇒ \frac{30}{100} \times x= 23.7

Cross multiplying

⇒ x= \frac{23.7\times 100}{30}

∴ x= 79.

6) 71/2% of what is 12?

Lets assume the required number be "x".

⇒ \frac{71}{2} \times 100\times x= 12

cross multiplying both side.

⇒x= 33.8

∴ 71/2% of 33.8 is 12

6 0
2 years ago
The salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation o
andrey2020 [161]

Answer:

D. 54,900

Step-by-step explanation:

We have been given that the salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation of $2,500.

To solve our given problem, we need to find the sample score using z-score formula and normal distribution table.

First of all, we will find z-score corresponding to probability 0.975(1-0.025) using normal distribution table.  

From normal distribution table, we get z-score corresponding is 1.96.

Now, we will use z-score formula to find sample score as:

z=\frac{x-\mu}{\sigma}, where,

z = Z-score,

z = Sample score,

\mu = Mean,

\sigma = Standard deviation

1.96=\frac{x-50,000}{2,500}

1.96*2,500=\frac{x-50,000}{2,500}*2,500

4900=x-50,000

4900+50,000=x-50,000+50,000

54900=x

Therefore, the salary of $54900 divides the teachers into one group that gets a raise and one that doesn't.

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laiz [17]

Answer:

B)

Step-by-step explanation:

For the function y=-5x, all coordinates this line passes through should make this inequality true.

\begin{case}y=5(-7)=35\\y=-2(-5)=10\\y=2(-5)=-10\end{case}

This corresponds with table B.

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After establishing x how would I find DKH
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