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3 years ago

Which values are the solutions of the compound inequality? Select all that apply.

Mathematics

1 answer:

evablogger [386]3 years ago

3 0

Answer:

b, c, e

Step-by-step explanation:

First, just simplify the inequality.

-18 < 5x - 8 < 17

-10 < 5x < 25

-2 < x < 5

Answers that fit this inequality:

-1, 0, 3

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Whats the commisson of 660 in 10%

Sholpan [36]

Answer:

0,10×660=66

660-66= 594

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4 years ago

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Step-by-step explanation:

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3 years ago

If the mean of the data set is 35 apples find the number of apples on the Granny Smith tree

alisha [4.7K]

Answer:

$N=\frac{\sum x_{i} }{35}$

Step-by-step explanation:

Given

The mean of the data set is 35 apples.
Let's call $N$ the number of apples.

The means is defined as the quotient between the sum of all elements and the total number.

Mathematically, it would be defined as

$x=\frac{\sum x_{i} }{N}$

But, we know that the mean is equal to 35.

$35=\frac{\sum x_{i} }{N}$

Then, we solve for $N$

$N=\frac{\sum x_{i} }{35}$

As you can see, the total number of apples depends on the sum of all elements of the data set.

For example, if the sum of all elements is 700, the total number of apples would be

$N=\frac{700}{35}=200$

Therefore, the expression that represents the total number of apples is

$N=\frac{\sum x_{i} }{35}$

3 0

3 years ago

Read 2 more answers

Use the quadratic formula to solve the equation 2x^2+2x-4=0

const2013 [10]

Answer:

Step-by-step explanation:

The quadratic formula for the quadratic equation ax² + bx + c = 0:

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$2x^2+2x-4=0\qquad\text{divide both sides by 2}\\\\x^2+x-2=0$

$a=1,\ b=1,\ c=-2$

Substitute:

$x=\dfrac{-1\pm\sqrt{1^2-4(1)(-2)}}{2(1)}=\dfrac{-1\pm\sqrt{9}}{2}=\dfrac{-1\pm3}{2}\\\\x_1=\dfrac{-1-3}{2}=\dfrac{-4}{2}=-2\\\\x_2=\dfrac{-1+3}{2}=\dfrac{2}{2}=1$

4 0

3 years ago

A total of 20 quarters and nickels add up to $4.00. How many nickels are there?

mariarad [96]

Answer:

5 nickels

Step-by-step explanation:

You can setup and solve a system of equations, or you can solve by trial and error until you get the correct answer.

Here is the solution by trial and error.

If all 20 coins are quarters, the value is 20 * $0.25 = $5

That is too much value.

Let's try 16 quarters. 16 quarters are worth 16 * $0.25 = $4.

That is the correct value, but it is only with quarters, and only 16 of them.

We need fewer quarters than 16.

Try 12 quarters: 12 * $0.25 = $3.00

The number of nickels is: 20 - 12 = 8

8 nickels are worth 8 * $0.05 = $0.40

12 quarters and 8 nickels are worth $3.00 + $0.40 = $3.40

There are 20 coins, but the value is too low.

The number of quarters is between 12 and 16.

Try 14 quarters and 6 nickels:

14 * $0.25 + 6 * $0.05 = $3.50 + $0.30 = $3.80

We are closer to $4 but not there yet.

Try 15 quarters and 5 nickels.

15 * $0.25 + 5 * $0.05 = $3.75 + $0.25 = $4

The total value is $4 and there are 20 coins. This is the answer.

15 quarters and 5 nickels works.

Answer: 5 nickels

8 0

3 years ago