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Bond [772]
3 years ago
15

. Lucia made a banner for a band event in the shape of a parallelogram. The height of the banner is 4 1/2 feet. The base of the

banner is 10 1/2 feet. What is the area of the banner in square feet?
Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0
The area of the banner should be 47.25ft.
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(2h-3k)^2/[(10h-15k)/6hk]
aliina [53]

Answer:

 (2h-3k)^2           [(2h-3k)^2] x 6hk             6hk(2h-3k)

------------------ =  ---------------------------   = ------------------------

  5(2h-3k)               5(2h-3k)                             5  

  --------            

   6hk

   

Step-by-step explanation:

after 1st equation, move 6hk to top, this is because (b is 1 in this case):

    a

  -----

    b

------------- = (a/b) / (c/d) = (a/b) * (d/c) = (a*d)/(b*c)

    c

   ----

     d

after 2nd equation, crossed out (2h-3k)

4 0
3 years ago
What is the volume of the rectangular prism?<br> 90 cm<br> 20 cm<br> 30 cm
3241004551 [841]
No picture uncluded
3 0
3 years ago
Sarah has $20 saved. She gets $10 per week for her allowance, and she saves her allowance for the next 3 weeks. At the end of th
Nimfa-mama [501]

Answer:

Sarah will have $200 after 3 weeks

Step-by-step explanation:

amount saved at the start = $20

amount saved per week = $10

number of weeks = 3

∴ Total savings from allowance  after 3 weeks = 10 × 3 = $30

Amount received in birthday money = $150

∴ Total amount saved after 3 weeks = amount saved at the start + Total savings from allowance  after 3 weeks + Amount received in birthday money

Total amount saved after 3 weeks = 20 + 30 + 150 = $200

Therefore Sarah will have $200 after 3 weeks

5 0
3 years ago
Talia works 6 hours per day on Fridays and Saturdays each week. She earns $8.20 per hour
Simora [160]

<u>Question 1 </u>

Talia works 6 hours on Friday and 6 hours on Saturday. Total Work = 6+6 = 12 hours.

Hourly Rate = 8.20 dollars per hour.

Gross Pay = (Total Work) x (Hourly Rate) = 12 x 8.20 = 98.40 dollars.

Hence, option D is correct i.e. 98.40 dollars.

<u>Question 2 </u>

Mikey worked 8 hours on Wednesday, 6 hours on Thursday and 7 hours on Friday.

Total Work = 8+6+7 = 21 hours.

Gross Pay = 187.95 dollars.

Hourly Rate = (Gross pay)/(Total work) = (187.95)/21 = 8.95 dollars per hour.

Hence, option A is correct i.e. 8.95 dollars per hour.

<u>Question 3 </u>

Nina's Hourly Rate for first 40 hours = 12.25 dollars per hour.

Overtime rate for after first 40 hours = 1.5 x 12.25 = 18.375 dollars per hour.

Total work = 46 hours.

Gross Pay = (Hourly rate)x(first 40 hours) + (Overtime rate)x(Excess time after first 40 hours)

Gross pay = (12.25 x 40) + (18.375 x 6)

Gross pay = 490 + 110.25

Gross pay = 600.25 dollars.

Hence, option A is correct i.e. 600.25 dollars.

<u>Question 4 </u>

Tip amount = 15 dollars.

Meal cost = 75 dollars.

Tip percentage = (Tip amount / Meal cost) x 100

Tip percentage = (15 / 75) x 100 = 20%

Hence, option B is correct i.e. 20%

<u>Question 5 </u>

Weekly Salary = 844 dollars.

Commision Rate = 4% = 0.04

Last week Sales = 3250 dollars.

Last week commission on sales = 0.04 x 3250 = 130 dollars.

Gross pay = Weekly Salary + Commission amount.

Gross pay = 844 + 130 = 974 dollars.

Hence, option C is correct i.e. 974.00 dollars.

5 0
3 years ago
I begin the billing cycle with a $4,000 balance on my credit card. On the 13th day I pay off
IRISSAK [1]
$2,900 you have to subtract from the $4,000 and it is $1,100 you have left
3 0
3 years ago
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