MATHEMATICS MIDDLE SCHOOL

Fabio and Gwen are saving money to buy a new gaming station. They need at least $510 to purchase the new gaming station. Gwen weeds yards and Fabio walks dogs to raise money. Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog. The number of dog walks that Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed. Fabio will walk at least 25 dogs. Write a set of constraints to model the problem, with x representing the number of lawns weeded and y representing the number of dogs walked.

Answers

Answer 1
Answer:

Answer:

12x + 9y \geq = 510\n y\leq 2x\n y \geq 25

Step-by-step explanation:

If x represents the number of lawns and 'y' represents the number of dogs that Fabio walked then:

The amount of money raised by Fabio plus the amount of money raised by Gwen must be greater than or equal to $ 510.

12x + 9y \geq = 510

The number of dogs that Fabio will walk is less than or equal to twice the number of yards of lawn cleared by Gwen.

y\leq 2x

Fabio will walk at least 25 dogs

 y \geq 25

Finally, the restrictions are:

12x + 9y \geq = 510\n y\leq 2x\n y \geq 25

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From 25% of £30.44 subtract 50% of £13.50

Answers

25% means 0.25  (It also means 1/4.)
50% means 0.5 (It also means 1/2.)

0.25 of 30.44 = 7.61

0.5 of 13.50 = 6.75

From 7.61, subtract 6.75.

OK.  I did it.  The question just says "do it". It doesn't ask us what the result is.

If anybody asks you, you can do the subtraction, or just tell them it's 0.86 .
(Is that 86 pence?)
25\% \cdot\£30.44 -50\% \cdot \£13.50=0.25\cdot \£30.44-0.5\cdot \£13.5=\n\n= \£7.61- \£6.75= \£0.86

what is 54 times 3 times 71 minus 45 plus 102 divided by 6 times 25 subtracted by 34 times 141 plus 32 subtracted by 67? Also put 578402/10856 in simplest form.

Answers

54 * 3 * 71-45+102%6 * 25- 34 * 141 + 32 -67 
11502-45+17x25-4794-53
11502-45+425-4847
7035

578402/10856 = 
53 3034/ 10856 take a 2 out and get 
53 1517/ 5428 

Answer:

6,786,083.5

Step-by-step explanation:

For the first 3% of Brenda's salary, her employer matches 100% of her 401(k)contributions, and from 3% to 12%, Brenda's employer matches 50% of her
401(k) contributions. Brenda's salary is $50,000, and last year, she
contributed $6000 to her 401(k) plan. What was her employer's contribution
to the 401(k)?
A. $3000
O
O
O
B. $4500
C. $3750
O
D. $6000

Answers

Answer:$3750

Step-by-step explanation:

Answer:

3650

Step-by-step explanation:

apex

18/15 into a mixed number

Answers

(18)/(15) = (18:3)/(15:3) = (6)/(5) =1 (1)/(5)

Which show 36x+60 factored completely.

Answers

reverse distribute
ab+ac=a(b+c)

find a which is GCF greates common factor

36x=2*2*3*3*x
60=2*2*3*5
gcf is 2*2=4

36x/4=9x
60/4=15
36x+60=4(9x)+4(15)=4(9x+15)

A principal of $4700 is invested at 8.25% interest compounded annually. How much will the investment be worth after 7 years?

Answers

Answer:

$7562.50

Step-by-step explanation:

4700 (1.0825)^7-1
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