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4 years ago

Write 336 mi in 11 2 h as a rate in simplest form

Mathematics

1 answer:

Bad White [126]4 years ago

7 0

$\frac{336 mi}{11.2 h} = \frac{?}{1 h}$

rate is the speed

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examine the graph below. select the solutions to the graph from the following points. select three that apply.

vova2212 [387]

Answer:

Options (1), (2), (3)

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here m = slope of the line

b = y-intercept

Given line on the graph is passing through two points (-3, 0) and (0, 1).

Slope of this line will be,

m = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{1-0}{0+3}$

= $\frac{1}{3}$

y-intercept of the line 'b' = 1

Equation of the line will be,

y = $\frac{1}{3}x+1$

If the points given in the options satisfy the equation, they will be the solution of the line.

Option (1),

For (3, 2),

2 = $\frac{3}{3}+1$

2 = 2

True.

(3, 2) is the solution.

Option (2)

For (21, 8),

8 = $\frac{21}{3}+1$

8 = 8

True.

(21, 8) is the solution.

Option(3)

For (-15, -4),

-4 = $\frac{-15}{3}+1$

-4 = -4

True.

(-15, -4) is the solution.

Option (4)

For (12, 9)

9 = $\frac{12}{3}+1$

9 = 5

False

(12, 9) is not the solution.

Option (5)

For (-6, 1)

1 = $\frac{-6}{3}+1$

1 = -1

False

(-6, 1) is not the solution.

Therefore, Options (1), (2), (3) are the solutions.

5 0

3 years ago

Would you classify the number 169 as a perfect square , perfect cube , both , or neither ? explain ?

makvit [3.9K]

Neither its a whole number

7 0

3 years ago

Read 2 more answers

Which expression is equivalent to the following complex fraction?

iVinArrow [24]

Answer:

Option B

Step-by-step explanation:

Numerator:

$\dfrac{3}{x -1 }-4 =\dfrac{3}{x-1}-\dfrac{4*(x-1)}{x-1}\\\\$

$=\dfrac{3- 4x -4*(-1)}{x-1}=\dfrac{3-4x+4}{x-1}\\\\\\=\dfrac{-4x+7}{x-1} \: \textbf{ [Combine like terms]}$

Denominator:

$2-\dfrac{2}{x-1}=\dfrac{2*(x-1)}{x-1}-\dfrac{2}{x-1}\\$

$= \bf \dfrac{2x-2-2}{x-1}\\\\\\= \dfrac{2x-4}{x-1}\\\\= \dfrac{2*(x- 2)}{x-1}$

$\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\dfrac{-4x+7}{x-1}}{\dfrac{2*(x-2)}{x-1}}$

$\bf = \dfrac{-4x+7}{x-1}*\dfrac{x-1}{2(x-2)} \ \ \ \textbf{ [(x-1) in the numerator and denominator will be cancelled]}\\\\\\=\dfrac{-4x+7}{2(x-2)}$

6 0

3 years ago

Reed uses 8 pieces of glass per square foot to make a stained glass window.

Alex17521 [72]

9 pieces of glass
______________________________________________________________
8 pieces of glass per square foot
864 square inches
1 foot = 12 inches
864/12= 72 feet
72/8= 9 pieces of glass

3 0

4 years ago

X + 3y = -9<br> 5x + 3y = 3

kap26 [50]

Answer:

X=3,y=-4

Step-by-step explanation:

The only change is x so you could figure it out that way or do this:

4x=12 by subtracting the secound equation by the first one (since both y's are being multiplied by the same thing you can do this to cancel them out while making one equation). and than figure out x=3 from there you input that into eithger equation to figure out y. Hope this helped!

7 0

3 years ago