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Rashid [163]
2 years ago
10

If y = 2x - 3, then which of the following ordered pairs lies on the graph? (1, -1) (-3, 0) (5, 4)

Mathematics
1 answer:
disa [49]2 years ago
4 0
Plug in the points and see if they satisfy the equation.

y = 2x - 3

(1, -1)

-1 = 2(1) - 3

-1 = 2 - 3

-1 = -1

So (1, -1) satisfies the equation.

(-3, 0)

0 = 2(-3) - 3

0 = -6 - 3

0 = -9

So (-3, 0) does not satisfy the equation.

(5, 4)

4 = 2(5) - 3

4 = 10 - 3

4 = 7

So (5, 4) does not satisfy the equation.

Therefore your answer is the first one, (1, -1).
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Answer:

Maximum height of quarter tower = 9.6 inches.

Step-by-step explanation:

The thickness of a quarter = \frac{1}{5} inches

Weight of a quarter = 1 ounce

The maximum weight that could safely hold = 3 pounds.

<u>The conversion factor for ounce to pound is 1 ounce = 0.0625 pound</u>

The number of quarter used in the tower = no of ounces equivalent to 3 pounds.

No of ounces equivalent to 3 pounds = \frac{3}{0.0625}

No of ounces equivalent to 3 pounds = 48

So the height of quarter tower = 48 \times \frac{1}{5} inches

                                                   = 9.6 inches.

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3 years ago
Write a ratio, in the simplest form and a percent for the shaded area (there's a 5x4 box and 6 cubes are shaded)
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Answer:

\%Percent = 30 \%

Step-by-step explanation:

Given

Shaded = 6\ cubes

Box = 5\ x\ 4

Required

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First, we calculate the number of boxes:

Box = 5\ x\ 4

Express as multiplication

Box = 5\ *\ 4

Box = 20

This implies that there are 20 cubes in the box.

The percentage of the shaded cubes is:

\%Percent = \frac{Shaded}{Box} * 100\%

\%Percent = \frac{6}{20} * 100\%

\%Percent = \frac{6* 100}{20} \%

\%Percent = \frac{600}{20} \%

\%Percent = 30 \%

<em>30% were shaded</em>

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<span>The ratio of 3 to 4 can be written in all the following ways except 4/3. </span>
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Answer:

25m

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Shannon's rate is 2,500m/100min. Simplifying, we see that this is equal to 25m/1min.

So, she walks 25 m in one minute.

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