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3 years ago

In a class, the teacher asks each person wearing red to name his or her

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

8 0

Evaluating a sample.

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3 years ago

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Sam needs 7 1/2 cups of orange juice to make punch for a group of her friends. She only has 5 1/3 cups. Write and solve an equat

Solnce55 [7]

Answer:

Equation is $x+\frac{16}{3}=\frac{15}{2}$ where $x$ denotes number of cups of orange juice needed by Sam.

$x=\frac{13}{6}$

Step-by-step explanation:

Let $x$ denotes number of cups of orange juice needed by Sam.

Number of cups needed to make punch $=7\frac{1}{2} =\frac{15}{2}$

Number of cups with Sam $=5\frac{1}{3}=\frac{16}{3}$

Therefore,

$x+\frac{16}{3}=\frac{15}{2}\\\\x= \frac{15}{2}-\frac{16}{3}\\\\x=\frac{45-32}{6}\\\\x=\frac{13}{6}$

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3 years ago

Put these points into an equation IN STANDARD FORM!!!!!!<br><br>(0,2) and (8,0)

zubka84 [21]

The equation of the line in standard form is x + 4y = 8

<h3>How to determine the line equation?</h3>

From the question, the points are given as

(0, 2) and (8, 0)

To start with, we must calculate the slope of the line

This is calculated using

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (0, 2) and (8, 0)

Substitute the known parameters in Slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

Slope = (0 - 2)/(8 - 0)

Evaluate

Slope = -1/4

The equation of the line can be calculated using as

y - y₁ = m(x + x₁)

Where

(x₁, y₁) = (0, 2)

and

m = slope = -1/4

Substitute the known values in the above equation

So, we have the following equation

y - 2 = -1/4(x - 0)

This gives

y - 2 = -1/4x

Rewrite as

1/4x + y = 2

Multiply by 4

x + 4y = 8

Hence, the line has an equation of x + 4y = 8