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Alekssandra [29.7K]
3 years ago
10

In the equation x=−3y, what is the unit rate?

Mathematics
1 answer:
denis23 [38]3 years ago
7 0
To solve this set the equation equal to y to get slope intercept form. the rate of change is -1/3

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Two whole numbers A and B satisfy the following conditions. Find A and B . A + B = 44. A : B is equivalent to 4 : 7
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Hello there, multiply to each side of ratio until you get the answer, which in this case you have to multiply 4 to each side, therefore...
B= 28
A= 16.
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2) Prove that these two lines are parallel:
borishaifa [10]

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if the two lines have the same slope that means they are parallel

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What are the coordinates of the vertices of the figure A'B'C'after the following transformation. (x,y) ---> ( y, -x)​
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Answer:

  • A'(4, 4)
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Step-by-step explanation:

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1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the
ipn [44]

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

v_1 = 60\ mph

Sheyna drives back from the lake with average speed of 36 mph

v_2 = 36\ mph

It took 2 hours less time to get there than it did to get back.

Let t_1 be the time taken to drive to lake.

Let t_2 be the time taken to drive back from lake.

t_2-t_1 = 2 hrs ..... (1)

To find:

Total time taken = ?

t_1+t_2 = ?

Solution:

Let D be the distance to lake.

Formula for time is given as:

Time =\dfrac{Distance}{Speed }

t_1 = \dfrac{D}{60}\ hrs

t_2 = \dfrac{D}{36}\ hrs

Putting in equation (1):

\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles

So,

t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs

t_2 = \dfrac{180}{36}\ hrs = 5\ hrs

So, the answer is:

t_1+t_2 = \bold{8\ hrs}

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