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klemol [59]
3 years ago
11

A line passes through the points (4, 9) and (12, 20). What is the slope of the line?

Mathematics
1 answer:
Mashutka [201]3 years ago
4 0

Answer:

\frac{11}{8}

Step-by-step explanation:

→ State the gradient formula

( y₂ - y₁ ) ÷ ( x₂ - x₁ )

→ Find x₁ , x₂ , y₁ and y₂

x₁ = 4 , x₂ = 12 , y₁ = 9 and y₂ = 20

→ Substitute in the values

\frac{20-9}{12-4}

→ Simplify

\frac{11}{8}

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Ms. Keisha has just purchased supplies for her classroom. She bought 67 markers, 32 rulers, and one projector. The markets cost
Vladimir79 [104]

Answer:

221.65

Step-by-step explanation:

67 x .9 = 60.3

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Which equation is a reasonable description of the least-squares regression line for the Predicted Rotten Tomatoes Score?
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Answer:

Predicted Rotten Tomatoes Score = 29.476 + 1.201 * Metascore

Step-by-step explanation:

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The answer is:

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4 years ago
The Viking football team won 4 out of every 5 of their football games. If they played 20 games, how many games did they lose?
alexgriva [62]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
A recipe for soup calls for 6 tablespoons of lemon juice and 1/2 cup of olive oil. The given recipe serves 3 ​people, but a cook
Nadusha1986 [10]

Answer:

a. The chef needs 11.25 cups of lemon juice to serve 90 people

b. The chef needs 7.5 pints of olive oil to serve 90 people

Step-by-step explanation:

6 tablespoons of lemon juice and 1/2 cup of olive oil = 3 servings

A cook wants to make a larger batch that serves 90. ​

6 tablespoons of lemon juice = 3 servings

1/2 cup of olive oil = 3 servings

a) How many cups of lemon juice will the chef need for the larger​ batch?

Find the ratio of lemon juice to solve the question

6 tablespoons of lemon juice : 3 servings = x : 90 servings

6 : 3 = x : 90

6/3 = x/90

Cross multiply

6 * 90 = 3 * x

540 = 3x

Divide both sides by 3

x = 540 / 3

= 180 tablespoons of lemon juice

There are 16 tablespoons in a cup

180 tablespoons of lemon juice

= 11.25 cups of lemon juice

The chef needs 11.25 cups of lemon juice to serve 90 people

b. How many pints of olive oil will the chef need for the larger​ batch?

Find the ratio of olive oil

1/2 cup of olive oil : 3 servings = x : 90 servings

1/2 ÷ 3 = x / 90

1/2 × 1/3 = x / 90

1/6 = x / 90

Cross multiply

1 * 90 = 6 * x

90 = 6x

Divide both sides by 6

x = 90 / 6

= 15 cups of olive oil

1 cup = half pint

15 cups = 7.5 pints

Therefore, the chef needs 7.5 pints of olive oil to serve 90 people

6 0
3 years ago
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