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3 years ago

At a bookstore, you buy a calendar for $5 and some books for $3 each. You spend a total of $26. How many

Mathematics

1 answer:

Likurg_2 [28]3 years ago

7 0

You buy 7 books

3b+5=26
*subtract 5 to the 26 side*
3b=21
Now divide 21 by 3
B=7
So there are 7 books bought. ^^

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The same astronaut visited Pluto. His weight on Earth was still 170 pounds, and his weight on Pluto was only 10 pounds. He remov

nata0808 [166]

425 because if you put these number in fractions such a$ 170/10 with x/25 you would cross multiply 170 with 25 then divide by 10

8 0

4 years ago

Chelsea took out three loans for a total of $ 78 comma 000 78,000 to start an organic orchard. Her business-equipment loan was

lianna [129]

Answer:

Business-equipment loan, A=$15000

Small-business loan, B=$24000

home-equity loan, C= $39000

Step-by-step explanation:

Let the Business-equipment loan at an interest rate of 11%=A

Let the small-business loan was at an interest rate of 5% =B

Let her home-equity loan was at an interest rate of 4.5%.=C

Since her total Loan=$78000

A+B+C=78000....(I)

Simple Interest = (P X R X T)/100

Since the Time, T=1 year

Interest on A = 0.11A

Interest on B = 0.05B

Interest on C = 0.045C

The total simple interest due on the loans in one year was $4605.

0.11A+0.05B+0.045C=4605....(II)

The annual simple interest on the home-equity loan was $105 more than the interest on the business-equipment loan.

0.045C = 0.11A +105...(III)

We proceed to solve the simultaneous equations.

A+B+C=78000....(I)

0.11A+0.05B+0.045C=4605....(II)

0.045C = 0.11A +105...(III)

From (III), 0.045C = 0.11A +105

Substitute 0.045C = 0.11A +105 into (II).

0.11A+0.05B+0.11A +105=4605

0.22A+0.05B=4500

From (III),

$C=\frac{22A}{9}+\frac{7000}{3}$

Substitute into (I)

$A+B+\frac{22A}{9}+\frac{7000}{3}=78000$

$\frac{31A}{9}+B=78000-\frac{7000}{3}$

$\frac{31A}{9}+B=\frac{227000}{3}$

$\frac{31A+9B}{9}=\frac{227000}{3}$

3(31A+9B)=9 X 227000

31A+9B=681000

0.22A+0.05B=4500 (Multiply by 9)

31A+9B=681000 (Multiply by 0.05)

1.98A+0.45B=40500

1.55A+0.45B=34050

Subtracting

0.43A=6450

A=$15000

From (III)

$C=\frac{22A}{9}+\frac{7000}{3}$

$C=\frac{22X15000}{9}+\frac{7000}{3} =39000$

C=$39000

from (I)

A+B+C=78000

15000+B+39000=78000

B=$24000

8 0

3 years ago

Tonya is saving money to buy a computer that costs $375. She has saved $75 already and each week she adds $25 to her savings. Ho

schepotkina [342]

It will take her 12 weeks if she saves the money she gets per week
Since the price of the computer is $375 and she already has $75 dollars saved she only needs $300 more to buy the computer.
She gets $25 per week so she it will take (25/300) weeks for to buy the computer
so that simplifies into 12 weeks
therefore it will take her 12 weeks to buy her computer

7 0

3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use for the fraction bar(s).

butalik [34]

a= 7 , b=9 , c=4 because if you take an example like

$\sqrt{x} = {x}^{ \frac{1}{2} }$