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3 years ago

Prove: If C⊂A and D⊂B then D−A⊂B−C

1 answer:

3 0

Let $x\in D\setminus A$ , so that $x\in D$ but $x\not\in A$ . Since $D\subset B$ , it follows that $x\in B$ , and since $C\subset A$ , it follows that $x\not\in C$ , which means $x\in B\setminus C$ .

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jessica will babysit children for $8 an hour. ciara will babysit for an appointment fee of $12 and $4 an hour. how many hours wo

SSSSS [86.1K]

Answer:

Answer are in bold below

Step-by-step explanation:

Question: 1

Jessica = $8

Ciara = $12 + 4 $16

Now we times both values.

16 x 8 = $128

8 x 16 = $128

They would both need to work 8 hours ft=or the same money.

Question 2:

$8 x 5 = $40

$16 x 5 =$80

Jessica will be less expensive.

5 0

3 years ago

Read 2 more answers

Need more help again

Fittoniya [83]

Answer:

QSR = 68º

Step-by-step explanation:

TSQ + QSR = TSR

15x + (10x - 2) = 173

Combine like terms

25x = 175

Divide both sides by 25

x = 7

QSR = 10x - 2

QSR = 10(7) - 2

QSR = 68º

5 0

3 years ago

the graph of y= 1/x is translated 3 units up and 2 units to the left. what is an equation of the translated graph

wel

-Move 2 units left:y=(1/x +2)
-Move 3 units up:y= (1/x +2)+3
So the equation is y= (1/x +2)+3

8 0

3 years ago

Hannah earned $1536 in 8 years on an investment at a 4% annual simple interest rate. How much was Hannah’s investment? $4800 $30

Nonamiya [84]

Simple interest calculates interest on initial amount only. The investment by Hannah was : Option A: $4800

<h3>How to calculate simple interest amount if rate of interest is R% annually?</h3>

Suppose that the initial amount of investment is P

And the rate of simple interest is R% annually,

And the time of investment is T years.

Then, the amount of simple interest is calculated as:

$I = \dfrac{P \times R \times T}{100}$

For the given case, let the initial investment Hannah made was of $P

Then, the time of investment is T = 8 years, R% = 4%, and given that Hannah earned interest I = $1536

Putting values in the above formula, we get;

$I = \dfrac{P \times R \times T}{100}\\\\1536 = \dfrac{P \times 8 \times 4}{100}\\\\P = \dfrac{153600}{32} = 4800$

Thus,

The investment by Hannah was : Option A: $4800

Learn more about simple interest here:

brainly.com/question/5319581

5 0

3 years ago

To estimate his travel time, joe divides the distance, d, in miles by 5 less than his expected average speed, in miles per hour.

Elis [28]

<span>Distance is equal to rate times time, and time is the unknown in this instance. To find time, divide distance by rate. In this case, Joe wants to use a rate five miles per hour less than his planned speed of 75 miles per hour, which is 70. Dividing 310 miles by 70 miles per hour yields an expected travel time of 4.4 hours.</span>

4 0

3 years ago