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2 years ago

Harold walks 3/4 mile in each 5/6 hour. Calculate Harold's unit rate. Explain how you found your answer.

1 answer:

6 0

To solve this problem, you must apply the proccedure shown below:

1. The problem gives the following information: <span>Harold walks 3/4 miles in each 5/6 hours. Therefore, you have to divide 3/4 miles by 5/6 hours, as below:

unit rate=(3/4)(5/6)
unit rate=(3x6)(4x5)
unit rate=18/20

3. When you simplify, you obtain:

unit rate=9/10

4. Therefore, as you can see, the answer is: Harold's unit rate is 9/10.</span>

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Ayne evaluated an expression that has a value of StartFraction 1 Over 729 EndFraction. Which expression could Jayne have evaluat

Alex17521 [72]

Answer:

9 Superscript negative 3

Step-by-step explanation:

${9^{-3} = \frac{1}{9^{3}} =\frac{1}{729}}\\$

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2 years ago

If the two adjacent angles are supplementary then their outer sides are???

Ainat [17]

Answer:

If the bisectors of two adjacent angles are perpendicular to each other, are the angles then supplementary angles?

Suppose two angles ABC and CBD are x and y.

x+y = 180 deg.

The bisector of angle ABC (BE) and the bisector of angle CBD (CF) will form angle EBF = (x/2)+(y/2) = 180/2 = 90 deg.

Conclusion: If the angle bisectors of two adjacent angles are perpendicular to eaxh other, the adjacent angles are supplementary angle

Adjacent angles are when the 2 angles have a common vertex and a common arm.

if the exterior sides of 2 adjacent angles are perpendicular, then the angles are complementary angles.

Then the sum of the 2 adjacent angles is a right angle - 90°.

When 2 angles add up to 90°, they are called a pair of complementary angles.

Step-by-step explanation:

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1 year ago

What is the relationship between the unfinished puzzle and the missing piece

Mrac [35]

I would say that the unfinished puzzle has more than one piece and the missing piece is only one, itself.

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2 years ago

Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original pri

grigory [225]

Answer:27 pieces were sold at the original price.

63 pieces were sold at the new price

Step-by-step explanation:

Let x represent the number of pieces of pottery that was sold at the original price.

Let y represent the number of pieces of pottery that was sold at the new price.

They sold some of their pottery at the original price of $9.50 for each piece. This means that the amount that they got from selling x pieces of pottery at the original price would be 9.5x

They later decreased the price of each piece by $2. This means that the new price was 9.5 - 2 = $7.5

This means that the amount that they got from selling x pieces of pottery at the new price would be 7.5y

If they sold all 90 pieces and took in $729, then the equations are

x + y = 90

9.5x + 7.5y = 729 - - - - - - - - - -1

Substituting x = 90 - y into equation 1, it becomes

9.5(90 - y) + 7.5y = 729

855 - 9.5y + 7.5y = 729

- 9.5y + 7.5y = 729 - 855

- 2y = - 126

y = - 126/- 2 = 63

Substituting y = 63 into x = 90 - y, it becomes

x = 90 - 63 = 27

6 0

2 years ago

Kevin cuts lawns during the summer months. He charges $10 plus $5 per hour. The algebraic model is C = 5h + 10, where C represen

Dafna1 [17]

Answer:

We have;

Hours (h), Total cost C

1, 5*1 + 10 = $15

2, 5*2 + 10 = $20

3, 5*3 + 10 = $25

4, 5*4 + 10 = $30

5, 5*5 + 10 = $35

Step-by-step explanation:

The given parameters are;

Kevin's fixed charge for lawn cutting = $10

Kevin's charge for lawn cutting per hour = $5

The total cost, C, for cutting lawn cutting by Kevin is C = 5h + 10

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2 years ago