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3 years ago

In the standard (x,y) coordinate plane, what is the slope of the line joining the points (5,4) and (2,-7)?

Mathematics

1 answer:

WINSTONCH [101]3 years ago

7 0

Answer:

slope = $\frac{11}{3}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (2, - 7)

m = $\frac{-7-4}{2-5}$ = $\frac{-11}{-3}$ = $\frac{11}{3}$

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Amiraneli [1.4K]

Let the Volume of the first cube be V1

V1 = 2 * 2 * 2

= 8 cm*3

Let the Volume of the second cube be V2

V2 = 6 * 2 * 12

= 144 cm*3

Now, cube1 with volume of 8 cm*3 holds 468 grains of rice.

Thus, 1 cm*3 volume can hold 58.5 grains of rice ( 468 / 8 = 58.5)

Cube2 has volume of 144 cm*3.

Hence, it can hold 8424 grains of rice ( 144 * 58.5 = 8424)

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4 years ago

Selena and Ronald are planning to get married at the university where they met and graduated. The university charges $2,000 to s

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Here, we have to find the number of guests who can attend their weeding without exceeding the set budget of $10,000

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Let us assume "X" guests arrive for the reception, so we can form the equation as shown below:

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Therefore, Selena and Ronald can invite 100 guests for the wedding without going over their budget

3 0

3 years ago

A package of paper weighs 3\frac{4}{6} ounces. If Edward put 3\frac{1}{2} packages of paper on a scale, how much would they weig

Nadusha1986 [10]

Answer:

They would weight $1\frac{1}{21}$ ounces

Step-by-step explanation:

Weight of complete package of paper = $3 \frac{4}{6}$ ounces

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Edward put $3\frac{1}{2}$ packages of paper on a scale

So, Weight of $3\frac{1}{2}$ packages $= \frac{\frac{22}{6}}{3\frac{1}{2}}$

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8 0

3 years ago

Irene tutors fellow students to earn spending money. A designer purse she wants to buy is $170. She has already earned and set a

zimovet [89]

Answer:

Step-by-step explanation:

$170 - $51 = $119 more needed for the purse

she earns $17 per hour so

$119 ÷ $17 = 7

she should tutor 7 hours so h>10

4 0

3 years ago

Consider the ordered pairs (1,4), (-1,2), and (0,3). Which of the four equations below could have been used to generate these th

arlik [135]

Answer:

a. y = x + 3

Step-by-step explanation:

All three ordered pairs satisfy the first equation.

___

If you want to look into it a little further, you can notice that if you sort the ordered pairs by their x-values, you get ...

(-1, 2), (0, 3), (1, 4)

That is, the y-values increase (by 1) as the x-values increase (by 1).

All of the other answer choices have -1 as the coefficient for x, which means the y-values will decrease as x increases. None of these choices (b–d) is viable.

6 0

3 years ago