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3 years ago

You can either make a graph or write a ratio to find the slope

Mathematics

1 answer:

Ann [662]3 years ago

7 0

Answer:

The slope is:

m = 2

Step-by-step explanation:

Given the table

Pounds, x 3 4 5 6

Cost, y 6 8 10 12

Taking any two points let say (3, 6) and (4, 8)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(3,\:6\right),\:\left(x_2,\:y_2\right)=\left(4,\:8\right)$

$m=\frac{8-6}{4-3}$

Refine

$m=\frac{2}{1}$

$m = 2$

Therefore, the slope is:

m = 2

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2 angles measure 40 degrees each, what does the third angle measure? what type of triangle is it?

zimovet [89]

Answer:

Part a): 100 degrees

Part b): Isosceles Triangle

Step-by-step explanation:

Part a): Since the angle measures of all triangles add up to 180 degrees and since the other two angles are 40 degrees, which add up to 80, we can use subtraction to find the answer.

180 - 80 = 100

Part b): Since only two of the three angles in this triangle have the same measure, we can find that it is an isosceles triangle, with base angles measuring 40 degrees, and the vertex angle being 100 degrees.

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3 years ago

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alexandr402 [8]

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3 years ago

Last year 80 students signed up for a summer trip to Washington, D.C. This summer 50 students have signed up to go. What is the

Fynjy0 [20]

Given:

Last year 80 students signed up for a summer trip to Washington, D.C.

This summer 50 students have signed up to go.

To find:

The percent decrease in the number of students.

Solution:

We have,

Students in last year = 80

Students in this year = 50

Now,

$\text{Decrease}\%=\dfrac{\text{Students in last year - Students in this year }}{\text{Students in last year }}\times 100$

$\text{Decrease}\%=\dfrac{80-50}{80}\times 100$

$\text{Decrease}\%=\dfrac{30}{80}\times 100$

$\text{Decrease}\%=\dfrac{3}{8}\times 100$

$\text{Decrease}\%=37.5$

Therefore, the correct option is B.

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3 years ago

Students at a sports college choose activities for games.

Mila [183]

Answer: 48 students

Step-by-step explanation: 1+4=5

60÷5=12

12x4=48

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1 year ago

Read 2 more answers

Please show your work and explain it.

Maru [420]

Answer:

$f(x)=\dfrac{x+2}{2(x-2)}$

Step-by-step explanation:

Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

$\dfrac{x^2+4x+4}{x^2-6x+8}\div\dfrac{6x+12}{3x-12}\\\\=\dfrac{x^2+4x+4}{x^2-6x+8}\times\dfrac{3x-12}{6x+12}\\\\=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}$