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2 years ago

Slope of the line that contains (-8,2) , (7,-4)

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

7 0

Answer:

$\mathsf{slope=-\dfrac25}$

Step-by-step explanation:

$\mathsf{let \ (x_1,y_1)=(-8,2)}$

$\mathsf{let \ (x_2,y_2)=(7,-4)}$

$\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}$

$\implies \mathsf{slope=\dfrac{-4-2}{7--8}=-\dfrac25}$

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What is 100-3,000x=100000

tatyana61 [14]

100-3,000x=100000
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3 years ago

Read 2 more answers

At high school basketball game, the athletic department sold 250 tickets and brought in 837.50. Adult tickets cost $5 and studen

Tpy6a [65]

Answer:

The system of equations is:

$a+s = 250\\5a+2.50s = 837.50$

Here a is the number of adult tickets and s is the number of student tickets

Step-by-step explanation:

We will use the given statements to make a system of equations for the given scenario.

First of all we have to decide which variables to be used.

Let a be the number of adult tickets and

Let s be the number of student tickets

So according to the statement that the department sold 250 tickets in total, the equation will be:

$a+s = 250$

This is equation one of the system of equations

According to the statement that cost of adult ticket is $5, total cost of adult tickets will be: $5a$

According to the statement that cost of student ticket is $2.50, total cost of student tickets will be: $2.50s$

The total earning was $837.50 so the second equation will be:

$5a+2.50s = 837.50$

Hence,

The system of equations is:

$a+s = 250\\5a+2.50s = 837.50$

Here a is the number of adult tickets and s is the number of student tickets

7 0

3 years ago

Suppose that you flip a coin 13 times. what is the probability that you achieve at least 5 tails?

mixer [17]

Probability of flipping either a head or a tail = 1/2

probability of flipping 6 tails in a row (1/2)*6

<span>probability of flipping at least 1 head = 1 - (1/2)*6 = 63/64 </span>

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3 years ago

Can someone please show me the steps to solving this problem please? Many thanks!

Soloha48 [4]

Step 1: Assign variable for the unknown that we need to find.

Let x be the number of 350 ml bottles that you should bring from the supply room.

Step 2: Use the statement given to write a mathematical equation.

Given: 30 liter drum of fertilizer

Convert the liters to milliliters

$1\;L = 1000\; mL\\\\30\;L=30 \times 1000\; mL=30,000\;mL\\\\$

"The owner of the plant nursery where you work tells you to fill 350 milliliter bottles from a 30 liter drum of fertilizer" means we need to find how many 350 ml are there in 30,000 ml.

$x=\frac{30000}{350}$