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Monica [59]
3 years ago
5

Dawn enjoys exercising on the hiking trail by her house. She ran 2/5 of

Mathematics
1 answer:
Artist 52 [7]3 years ago
3 0

Answer:

11/15 of  the trail

Step-by-step explanation:

Step one:

given data

She ran 2/5 of the trail on Monday

Then ran a different 1/3 of the trail on Tuesday

Required

The total distance covered for Monday and Tuesday

Step two:

Total= 2/5+1/3

lcm= 15

Total= 6+5/15

Total= 11/15

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What is the solution to this system of equations? 4x + 5y = 7
Nutka1998 [239]

Answer:

(-2, 3)

Step-by-step explanation:

4x + 5y = 7

3x - 2y = -12

Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.

Let's work with y.

5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.

2(4x + 5y = 7)

5(3x - 2y = -12)

Multiply.

8x + 10y = 14

15x - 10y = -60

Eliminate.

23x = -46

Divide both sides by 23.

x = -2

Now that we know x, let's plug it back into one of equations to find y.

4x + 5y = 7

4(-2) + 5y = 7

Multiply.

-8 + 5y = 7

Add.

5y = 15

Divide.

y = 3

Now we know x and y; let's plug both back into the equation we have not checked yet.

3x - 2y = -12

3(-2) - 2(3) = -12

Multiply.

-6 - 6 = -12

Subtract.

-12 = -12

Your solution is correct.

(-2, 3)

Hope this helps!

8 0
2 years ago
An oblique cylinder has a radius of 10 meters and a volume of 2,500pi cubic meters. Use Cavalieri’s Principle to solve for the h
worty [1.4K]
The answer you are looking for is 25.
2500 / 10² = 25
Since the formula for finding the volume is 
V = Pi r² h

4 0
3 years ago
Read 2 more answers
Write a real-world problem that can be modeled by the equation 1.25x=0.75x+50
dimulka [17.4K]
We have such equation
1.25x=0.75x+50        /-0.75x   (subtract 0.75 both sides)
1.25x-0.75x=0.75x-0.75x+50
0.5x=50          /*2   (multiply both sides times 2)
0.5x*2=50*2
x=100 - its the answer
7 0
3 years ago
In the circle below, EG is a diameter and EF is tangent at E. Suppose mEF = 124°. Find the following. Does anyone know this?
Ludmilka [50]

Answer:

Step-by-step explanation:

If EG is a diameter, then arc EFG is a semicircle and its measure is 180. Arc FG then is 180 - 124 = 56. Since angle FEG is an inscribed angle and the arc it cuts off is arc FG, then the measure of the inscribed angle is half the measure of the arc it cuts off...so angle FEG is 28 degrees. Keep that in mind; we'll need it in a sec.

If HE is tangent to the circle at E, then angle HEG is a 90 degree angle. Adding that to angle FEG will give you angle FEH. Angle FEH = 90 + 28 = 118

8 0
3 years ago
The results are shown in the circle graph. Find arc mAB
Ainat [17]
If you show me a picture of the problem I could help you, but I can’t see the circle sooo I can’t help u unless I see it
8 0
3 years ago
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