MATHEMATICS COLLEGE

What is a solution to 3/4 a is greater than -16

Answers

Answer 1
Answer:

Answer:

a > - 21.33

or

a > -21 1/3

Step-by-step explanation:

3/4a > -16

a > -16*4/3

a > - 64/3

a > - 21.33

or

a > -21 1/3

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A new cell phone costs $85, and the sales tax is 9%. What is the amount of the sales tax?A new cell phone costs $85, and the sales tax is 9%. What is the amount of the sales tax?A new cell phone costs $85, and the sales tax is 9%. What is the amount of the sales tax?

Answers

Step-by-step explanation:

Sales tax = $7.65

Explanation:

To find the sales tax, you would find 9% of $85

$85×9÷100 (You can reduce 85 and 100 because they have a common factor of 5)

$17×9÷20 (Multiply 9×17)

153÷20 = $7.65

Answer:

7.65

Step-by-step explanation:

A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are given: 50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45 The following histogram is a representation of the data. Calculate the median ages

Answers

What you have to do to find the median of the data is first put that data into order numerically. You can go largest to smallest or smallest to largest, it doesn't matter.   

22, 24, 28, 28, 30, 31, 31, 32, 32, 35, 36, 37, 38, 41, 42, 42, 44, 44, 45, 46, 46, 47, 47, 49, 50

Once you put them into order, you count towards the middle. You have 25 data points, so the middle, which will be your median number, will be 13 points in. 

The median is 38

Sarah practices her violin 45 minutes each practice session. She sets a goal to practice 6,075 minutes.How many practice sessions will it take for Sarah to reach her goal?

Answers

Answer:

135 times

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

8 - 2x = 6x - 10x + 18

Answers

Answer:

X=5

Step-by-step explanation:

8 - 2x = -4x + 18

+4. +4

8+2x = 18

-8. -8

2x= 10

/. /

2. 2.

Sooo if we're looking for X I'd say X= 5

A truck averages 20 miles per gallon. The equation m = 20g represents the relationshi, where m is the yotal miles a trick can go and g is the gallons of gas in the tank. How far can the truck go on 6, 8, or 10 gallons of gas?

Answers

Answer:
6 gallons = 120 miles
8 gallons = 160 miles
10 gallons = 200 miles

Multiply 20, the number of miles you get per gallon by the number of gallons of has you put into the truck.

Example:
10gallons x 20miles per gallon = 200 miles

Given DA = 14, A F = 21, KE = x, and EF = 15. What must the value of x be in order to prove AE || KD?

Answers

Using cross multiplication you can determine that the ANSWER is 10.

Answer:

x=10  

Step-by-step explanation:      

We have been given an image of a triangle. We are asked to find the value of x.    

We can see that triangle AFE is similar to triangle DFK. We know that corresponding sides of similar triangle are proportional, so we can set an equation to solve for x as:

(21)/(14)=(15)/(x)  

Upon cross multiplying our given equation, we will get,

21x=15*14

(21x)/(21)=(15*14)/(21)

x=(15*2)/(3)

x=5*2  

x=10

Therefore, the value of x is 10.
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