Simplify the following expression: 7(2x+ 6y)

Michael jogs at 3 miles per hour and Jack runs at 4.5 miles per hour. If Michael starts at 2:00 pm and Jack starts on the same c

tresset_1 [31]

Answer:

It will take Jack 40 minutes to cover the same distance which Micheal covers in 60 minutes. Both will meet at 3 miles distance at 3 pm.

Step-by-step explanation:

Micheal runs 3 miles in one hour or 60 minutes.

In one minute he runs 3/60= 1/20 or 0.05miles.

Jack runs 4.5 miles in one hour or 60 minutes.

In one minute he runs 4.5/60= 45/600= 9/120= 3/40 or 0.075 miles.

So Jack is 0.075/0.05 = 1.5 times faster than Micheal.

or Micheal is 1.5 times slower than Jack.

Jack starts from 2:20 pm and at 3 pm he will run 0.075(40 minutes)= 3miles

Micheal start at 2:00 pm and at 3 pm he will run 0.05(60 minutes)= 3 miles

So at 3 pm both will have covered equal distance= 3miles.

It will take Jack 40 minutes to cover the same distance which Micheal covers in 60 minutes. Both will meet at 3 miles distance at 3 pm.

3 0

3 years ago

What is 34 x 222 x 4 5 - 67

erica [24]

Answer:

339593

<h2>Consider geting me brainliest if this helped</h2>

8 0

2 years ago

Read 2 more answers

Sorry forgot to post the problem here it is

vovikov84 [41]

Answer:

55

Step-by-step explanation:

m angle A and m angle C are equal sine two of those sides are equal. You would do 3x + 40 = x +50

You subtract x, leaving it to be 2x + 40 = 50

Subtract the 40, leaving it be 2x = 10

Divide both sides by 2, which leaves x = 5

and then you would do 3(5) + 40, which is 55

4 0

3 years ago

An investment firm invested in two companies last year. They invested $40,000 in company A and made a profit of 15%. They invest

alexira [117]

Answer:

A) $8200.

B) 16.4%

Step-by-step explanation:

Here is the complete question: An investment firm invested in two companies last year. They invested $40,000 in company A and made a profit of 15%. They invested $10,000 in company B and made a profit of 22%.

A) What is the investment firms total profit?

B) What is the percent profit of the total investment?

Given: Company A invested $40000 and made profit of 15%

Company B invested $10000 and made profit of 22%

A) First lets find the profit of company A and B.

Company A= $\frac{15}{100} \times \$ 40000= \$ 6000.$

∴ Profit of company A is $6000.

Company B= $\frac{22}{100} \times \$ 10000= \$ 2200$

∴ Profit of company B is $2200.

Total profit= profit of company A+ profit of company B

⇒ $Total\ profit= \$ 6000+\$ 2200$

∴ Total Profit= $\$ 8200$

Hence, the total profit of investment firm is $8200.

B) Now finding the percentage of total profit made by firm.

Total investment by the firm= $\$ 40000+\$ 10000= \$ 50000$

∴ Total investment done by the firm is $50000.

Percent of profit= $\frac{Total\ profit}{Total\ investment} \times 100$

⇒ Percent of profit= $\frac{8200}{50000} \times 100$

⇒ Percent of profit= $\frac{82}{5} = 16.4\%$

Hence, 16.4% is the percent profit of the total investment.

7 0

3 years ago

What is the median of the data set? <br><br> {16, 15, 17, 19, 12, 11, 14, 14, 13, 11, 18, 15}

RUDIKE [14]

The median is the numeric value separating the higher half of a sample data set from the lower half. The median of a data set can be found by arranging all the values from lowest to highest value and picking the one in the middle. If there is an odd number of data values then the median will be the value in the middle. If there is an even number of data values the median is the mean of the two data values in the middle. For the data set 16, 15, 17, 19, 12, 11, 14, 14, 13, 11, 18, 15 the median is 14.5. It is the mean of 14 and 15 or, (14+15)/2 = 14.5.

7 0

3 years ago

Simplify the following expression: 7(2x+ 6y)​

Simplify the following expression: 7(2x+ 6y)