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kirill115 [55]
3 years ago
7

Sam left his school at 3:05. He walked at a speed of 3.2 mph. 15 minutes later, Al started running after him, and he caught up w

ith Sam 10 minutes later. What was Al’s speed? Answer:
Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0
Total time taken by Sam before Al caught up with him = 15+10 = 25 minutes

In hours = 25 minutes = 25/60 = 5/12 hrs
Distance covered by Sam = Distance covered by Al = Speed (Sam) * time taken = 3.2*5/12 = 4/3 miles.

Al takes 10 minutes to cover that distance. Therefore,
Al's speed = Distance/time = (4/3)/(10/60) = (4/3)*(60/10) = 8 mph
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2x + 4y = 14 and 3x - 4y = -39
miskamm [114]

Answer:

x = 1 y= 3

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of y opposite.

Simplify.

Add the two equations together to eliminate y from the system.

Divide each term by 8 and simplify.

Substitute the value found for x into one of the original equations, then solve for y.

The result can be shown in multiple forms.

Point Form:

(1,3)

Equation Form:

x=1 ,y=3

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7 0
3 years ago
A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters. Which expression represe
mash [69]
Recall that the volume of a regular prism is given by the area of the base times the height.

Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.

Recall that the are of a triangle is given by 1/2 base times height.

Thus the area of of the pentagon base of the prism is given by
Area= \frac{5}{2} x\times2.8=7x

Therefore, the volume of the prism is given by
Volume=7x(2x+1)=14x^2+7x
5 0
3 years ago
Read 2 more answers
When should fixed and variable monthly budgeted expenses first be planned?
julsineya [31]

Answer: At the star of each month

Step-by-step explanation:

Short-term financial goals might include buying movie tickets.

When creating a budget, you must track both your budgeted expenses and your … expenses. actual

When creating a budget, log fixed expenses after income.

When should fixed and variable monthly budgeted expenses first be planned? at the start of each month

8 0
3 years ago
Justin traveled 56.8 miles each day for the past 7 days. How many miles did he travel in all?
creativ13 [48]

56.8 * 7 = 397.6

He travel 397.6 miles in all.

7 0
3 years ago
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Help!! <br>This is due in 30 minutes!! <br>(this is 13-12 year old math) <br>​
Nitella [24]

Answer:

-10

Step-by-step explanation:

Note that the points plotted on the line is by 2 (essentially, each line signifies 2).

The blue point is on the 5th line from the 0. 5 x -2 = -10

-10 is your answer.

~

4 0
3 years ago
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