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Norma-Jean [14]
2 years ago
8

The expression 120 + 15m gives the volume of water in Miguel's pool (in liters) after he spends m minutes filling his pool.

Mathematics
1 answer:
Andreyy892 years ago
7 0

Answer:

217.5 liters

Step-by-step explanation:

15 x 6.5 = 97.5. 97.5 + 120 = 217.5 liters

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Two trains travel at right angles to each other after leaving the same train station at the same time. Two hours later they are
Alex787 [66]

Answer:

15 miles per hour is the speed of the slower train.

Step-by-step explanation:

As given in the figure attached,

Let the speed of train 1 is v and train 2 is u.

Therefore, distance traveled in 2 hours by train 1 will be = 2v miles

and distance traveled by train 2 will be = 2u miles

Now we can see in the figure a right angle triangle is formed by the two trains.

AB² + BC² = AC²

(2v)² + (2u)²= (65.30)²

4v² + 4u² = 4264.09

Now we divide this equation by 4

v² + u² = 1066.02

If speed of the slower train is v miles per hour then as per statement of the question.

u = v - 14

v = u + 14

By putting the value of v in the equation

(u + 14)² + u² = 1066

u² + 196 + 28u + u² = 1066

2u² + 28u + 196 = 1066

2u² + 28u + 196 - 1066 = 0

2u² + 28u - 870 = 0

By diving this equation by 2

u² + 14u - 435 = 0

u² + 29u - 15u - 435 = 0

u(u + 29) - 15(u + 29) = 0

(u + 29)(u - 15) = 0

u = -29, 15

Since speed can not be with negative notation so u = 15 miles per hour will be the speed.

Therefore, 15 miles per hour is the speed of the slower train.

5 0
3 years ago
Write equation in function form 6-y=17x
Elanso [62]
6-y=17x \ \ |\ subtract\ 6\ to\ both\ sides \\\\-y=17x-6\ \ | \ multiply\ both\ sides\ by\ (-1)\\\\y=-17x+6


8 0
3 years ago
Can someone help me please
svp [43]

Answer:

4

Step-by-step explanation:

if the area is 1/4 that would mean that the sides are equal to 1/2. if you stretch 1/2 out 4 times longer that would be equal to 2. 2 x 2 = 4

6 0
2 years ago
Classify the triangle. Select all that apply
dlinn [17]
One of the answers is equilateral because all of the sides are of equal length. 
The other answer is acute because all of the angles are under 90º since they are all 60º. Hope this helps!
6 0
3 years ago
Read 2 more answers
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
fomenos

Answer:

C. The graph of G(x) is the graph of F(x) flipped over the y-axis and compressed vertically.

Step-by-step explanation:

The negative in front of the 2 made the function flip over the y-axis. While the 2, compressed the function a little, making it so the function touched 2, vertically.

7 0
3 years ago
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