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1 year ago

The cost of a sweatshirt is 175% the cost of a T-shirt. A T-shirt costs $13.

Mathematics

1 answer:

Molodets [167]1 year ago

8 0

Answer:

$68.25

Step-by-step explanation:

1. First, to find the cost of one sweatshirt, we multiply 175 by 13, and then divide by 100.

$175 * 13 = 2275$
$2275/100=22.75$

2. Now, we know that one sweatshirt costs $22.75. To find the cost of three sweatshirts, we multiply 22.75 by 3.

$22.75 * 3$
$68.25$

Therefore, the cost of 3 sweatshirts is $68.25.

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Find the solution set of this inequality|10x+20| ≤10

Pavlova-9 [17]

Answer:

solution is

[-3,-1]

Step-by-step explanation:

we are given

$|10x+20|\leq 10$

Firstly, we will find critical values

so, let's assume it is equal

$|10x+20|= 10$

now, we can break absolute sign

For $|10x+20|= -(10x+20)$ :

$-(10x+20)= 10$

we can solve for x

$-10x-20= 10$

Add both sides by 20

$-10x-20+20= 10+20$

$-10x= 30$

Divide both sides by -10

and we get

$x=-3$

For $|10x+20|= (10x+20)$ :

$(10x+20)= 10$

we can solve for x

$10x+20= 10$

Subtract both sides by 20

$10x+20-20= 10-20$

$10x= -10$

Divide both sides by 10

and we get

$x=-1$

so, critical values are

$x=-3$

$x=-1$

now, we can draw a number line and locate these values

and then we can check inequality on each intervals

For $(-\infty,-3)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-5

$|10\times -5+20|\leq 10$

$|-50+20|\leq 10$

$30\leq 10$

so, this is FALSE

For $[-3,-1]$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-2

$|10\times -2+20|\leq 10$

$|-20+20|\leq 10$

$0\leq 10$

so, this is TRUE

For $(-1,\infty)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=0

$|10\times 0+20|\leq 10$

$|0+20|\leq 10$

$20\leq 10$

so, this is FALSE

so, solution is

[-3,-1]

7 0

2 years ago

Use this number line when answering questions.

Dmitrij [34]

Answer:

If the darker, longer lines are going in units of one, then A is equal to -2.

Step-by-step explanation:

7 0

2 years ago

PLEASE HELP<br> Solve for x.<br><br> -6x+14<-28 OR 9x+15<= -12

Anastaziya [24]

Answer: For -6+14<-28, the answer is....

Inequality form : x>7

For 9x+15<-=12, the answer is...

Inequality form : x <= -3

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable. (THIS IS FOR BOTH ANSWERS!!)

Hope this helps you out.

5 0

2 years ago

3a+5b/3c-5d =3a -5b/3c- 5d

jenyasd209 [6]

Answer:

-30bc + 50bd

Step-by-step explanation:

3a + 5b/3c - 5d = 3a - 5b/3c - 5d

(3c - 5d)(3a - 5b) = (3a + 5b)(3c - 5d)

9ca - 15bc - 15da + 25db = 9ac - 15ad + 15bc - 25bd

9ca -15bc - 15da + 25db - 9ac + 15ad - 15bc + 25bd

9ca and -9ac and -15da and 15ad cancel each other out, so

-30bc + 50db is left

5 0

2 years ago

What is the GCF of 12 and 57?

iogann1982 [59]

Answer:

Step-by-step explanation:

12/3=4

57/3=19

5 0

2 years ago

Read 2 more answers