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My name is Ann [436]
2 years ago
9

Twice the difference of a number and 3 is equal to 2

Mathematics
1 answer:
REY [17]2 years ago
3 0

Answer:  x = 4

Step-by-step explanation:

We'll call the number "x."

"Twice the difference of a number and 3" means 2(x-3)

is equal to 2:  =2

Put them together:

     2(x-3)  =2

 2x - 6 = 2

 2x = 8

   x = 4

Check:

2(x-3)

Twice the difference of a number and 3 is equal to 2

2(4 - 3) = 2   ?

<h2>2(1) = 2         <u>  Yes</u></h2>

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Maureen earned some money doing odd jobs last summer and put it in a savings account that earns 9% interest compounded quarterly
ivolga24 [154]

Answer:

Maureen earned $123.19 doing odd jobs

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Compounded quarterly means that n = 4

10 years, so t = 10

9% interest, so r = 0.09

There is $300.00 in the account, which means that A = 300

How much did Maureen earn doing odd jobs?

This is P.

A(t) = P(1 + \frac{r}{n})^{nt}

300 = P(1 + \frac{0.09}{4})^{4*10}

(1.0225)^{40}P = 300

P = \frac{300}{(1.0225)^{40}}

P = 123.19

Maureen earned $123.19 doing odd jobs

5 0
3 years ago
3.) A 24 pack of soda costs $6.48.<br> What is the unit rate of cost per can?
Dmitry [639]

Answer:

$0.27

Step-by-step explanation:

The unit rate of cost per can would equal total costs divide by total can

= $6.48 / 24

= $0.27

Hope this helped :3

4 0
3 years ago
A factory bottles 375 bottles of juice in 5 mins. Find the factory’s unit rate of bottles per minute.
Neko [114]

You answer should be the third one,

75 bottles/ 1 minute

7 0
3 years ago
Read 2 more answers
Find the area of this rectangle.<br> 5 in<br> 10 in<br> A = [?] in?
Talja [164]

Answer:

A=50

Step-by-step explanation:

5x10=50in

4 0
3 years ago
Read 2 more answers
You sell tickets for admission to your school play and collect a total of $104. Admission prices are six dollars for adults and
Tanzania [10]

Answer: you sold 10 adult tickets and 11 children tickets.

Step-by-step explanation:

Let x represent the number of adult tickets that you sold.

Let y represent the number of children tickets that you sold.

You sold a total of 21 tickets. This means that

x + y = 21

Admission prices are six dollars for adults and four dollars for children. You sell tickets for admission to your school play and collect a total of $104. This means that

6x + 4y = 104 - - - - - - - - - -1

Substituting x = 21 - y into equation 1, it becomes

6(21 - y) + 4y = 104

126 - 6y + 4y = 104

- 6y + 4y = 104 - 126

- 2y = - 22

y = - 22/ -2 = 11

Substituting y = 11 into x = 21 - y, it becomes

x = 21 - 11 = 10

3 0
3 years ago
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