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Grace [21]
3 years ago
15

Jim’s average speed is 8 km/h while walking and 12 km/h while jogging. It takes him 0.5 h longer to walk from the school to the

pool than it takes him to jog the same distance. How far is it from the school to the pool?
Mathematics
1 answer:
lord [1]3 years ago
5 0

Answer:

12 km

Step-by-step explanation:

Using the formula <em>rate × time = distance:</em>

Jogging = 12 km/h × x = 12x

Walking = 8 km/h × (x + 0.5) = 8x + 4

Setting the two terms equal:

12x = 8x + 4

Subtracting 8x from both sides:

4x = 4

Dividing both sides by 4:

x = 1

Therefore, it takes 1 hour of jogging or 1.5 hours of walking to travel from the school to the pool. Thus, they are 12 km [12 km/h × 1 h <em>or</em> 8 km/h × 1.5 h] apart.

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There is a total of 270 men, women and children on a train.
ryzh [129]

Because the ratio of women to children is 10:1, double the ratio of men to women so the women are both 10:

Men to women becomes 8:10

Now total the 3 ratios: 8 for men, 10, for women and 9 for children:

8 + 10 + 9 = 27

Divide total people by that number:

270/27 = 10

Multiply 10 by each ratio:

Men = 8 * 10 = 80

Women = 10 * 10 = 100

Children = 9 *10 = 90



There is 80 men.

6 0
3 years ago
Read 2 more answers
Hoping to attract more shoppers, a city builds a new public parking garage downtown. The city plans to pay for the structure thr
posledela

Answer:

MOE_{95} = 1.192\cdot MOE_{90}

Step-by-step explanation:

The margin of error is computed using the formula:

MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}

The critical of <em>z</em> for 95% confidence level and 90% confidence level are:

z_{0.05/2}=z_{0.025}=1.96\\\\z_{0.10/2}=z_{0.05}=1.645

*Use a <em>z</em>-table.

The sample size is n = 44.

Compare the MOE for 95% confidence level and 90% confidence level as follows:

\frac{MOE_{95}}{MOE_{90}}=\frac{1.96\times (15/\sqrt{44})}{1.645\times (15/\sqrt{44})}

\frac{MOE_{95}}{MOE_{90}}=\frac{1.96}{1.645}\\\\\frac{MOE_{95}}{MOE_{90}}=1.192\\\\MOE_{95} = 1.192\cdot MOE_{90}

6 0
3 years ago
What is −5 1/3 ÷ 2 3/4? <br> a. −12 5/6 <br> b. −7 5/12 <br> c. −1 31/33 <br> d. −1 11/12
julia-pushkina [17]
I hope this helps you



-( 3.5+1/3) ÷ 2.4+3/4



- 16/3 ÷ 11/4



-16/3 × 4/11


- 64 / 33


- 1 31 /33
7 0
3 years ago
Simplify the following expression.
34kurt

Answer:

A. 33x + 92y

Step-by-step explanation:

Set up the problem like this and combine like terms:

    40x + 58y

   - 7x  + 34y

--------------------

    33x + 92y

Or, set up the problem like this and combine like terms:

(40x + 58y) + (-7x + 34y)

40x + 58y - 7x + 34y

40x - 7x + 58y + 34y

33x + 92y

You should get the same answer with either method.

3 0
3 years ago
Read 2 more answers
Kathy Parker's employer pays 65% of the total cost of her $5,489 health insurance premium. What is her biweekly deduction for th
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Answer:

$73.89

Step-by-step explanation:

We have been given that Kathy Parker's employer pays 65% of the total cost of her $5,489 health insurance premium.

This means Kathy pays 35% of her health insurance premium.

Let us find 35% of $5489.

\text{Amount of health insurance premium paid by Cathy per year}=\frac{35}{100}\times\$5489

\text{Amount of health insurance premium paid by Cathy per year}=0.35\times\$5489

\text{Amount of health insurance premium paid by Cathy per year}=\$1921.15

As we are asked to find Cathy's biweekly deduction for the insurance we will divide amount of premium paid by Cathy by 26 as biweekly is paid 26 times per year.

\text{Cathy's biweekly deduction}=\frac{\$1921.15}{26}

\text{Cathy's biweekly deduction}=\$73.89

Therefore, Cathy's biweekly deduction for the insurance is $73.89.

8 0
3 years ago
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