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2 years ago

a system of equations is shown below:x y = 32x −y = 6the x-coordinate of the solution to this system of equations is

Mathematics

1 answer:

Salsk061 [2.6K]2 years ago

5 0

X + y = 32 . . . . . . . . (1)
x - y = 6 . . . . . . . . (2)
(1) + (2): 2x = 38
x = 19

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Jeffery conducted a survey in his school and found that 30 of the 50 eighth grade students' favorite subject is mathematics. Bas

Ivahew [28]

The correct answer is:

D) Jeffery's conclusion is not valid because the sample was biased since all of the students were eighth grade students.

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2 years ago

A small box can hold 5 chocolates and a big box can hold 12 chocolates. A factory produces 600 chocolates and packs them into bo

stepan [7]

Answer:

Answer to B - 20

480 + 96 = 600

Step-by-step explanation:

12 x 40 = 480

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2 years ago

I’m not sure if I’m correct but <br> a. Find the slope of the line <br> b. state a point on the line

Agata [3.3K]

the equation of a line in point-slope form is

y - b = m(x - a)

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2 years ago

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Alik [6]

Answer:

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Step-by-step explanation:

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2 years ago

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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2 years ago