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Nostrana [21]
2 years ago
6

Jada walks at a speed of 3 miles per hour. Elena walks at a speed of 2.8 miles per hour. If they both begin walking along a walk

ing trail at the same time, how much farther will Jada walk after 3 hours? Explain your reasoning.
Mathematics
1 answer:
soldi70 [24.7K]2 years ago
7 0

Answer:

Jada will be .6 miles ahead of Elena

Step-by-step explanation:

3 miles per hour times 3 (for the 3 hours) gives you nine miles.

2.8 miles per hour time 3 ( for the 3 hours) give you 8.4 miles.

Subtract 9 by 8.4 to get .6 miles.

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Directions: Simplify each expression by distributing <br> 1. 8(x + 5) =<br> 3.-2(3m + 9) =
TiliK225 [7]

Answer:

  1. 8x +40
  2. -6m-18

Step-by-step explanation:

8(x + 5) =  \\ 8(x) + 8(5) \\  = 8x + 40

- 2(3m + 9) \\  =  - 2(3m)  - 2(9) \\  =  - 6m - 18

7 0
3 years ago
Danielle and Emilia brought apples, bananas, and oranges to a fruit sale.
lilavasa [31]

Answer:

26 apples

Step-by-step explanation:

bananas, b= $0.50

oranges, o= $0.75

apples, a = $0.75  

Total fruit sold = 50

Total Earned  = $33.50

b + o + a = 50       Because the total number of all 3 fruits sold is 50

.5b + .75o + .75a =  $33.50           The number of each fruit, multiplied by the price of each fruit, and added together is $33.50

They sold twice as many bananas than oranges.

If o is oranges, then 2o = b because there are twice as many bananas so:

b + o + a = 50

2o + o + a = 50  

3o + a = 50

Now we can solve.

3o + a = 50

a = 50 - 3o

.5b + .75o + .75a =  $33.50

.5(2o) + .75o + .75a = $33.50

o + .75o + .75a = $33.50

1.75o + .75a = $33.50

Two equations and 2 unknowns.

a = 50 - 3o

1.75o + .75a = $33.50       Plug in a to solve for o.

1.75o + .75(50 - 3o) = $33.50

1.75o + .75*50 - .75*3o = $33.50

1.75o + 37.5 - 2.25o = $33.50   Combine like terms

1.75o - 2.25o +37.5 = $33.50

-.5o + 37.5 = 33.5     Add .5o to each side so it cancels on the left.

37.5 = 33.5 + .5o   Subtract 33.5 from each side

37.5 -33.5 = .5o

4 = .5o   Divide each side by .5

4/.5 = o

8 = o

Now plug into a = 50 - 3o

a = 50 - 3(8)

a = 50 - 24

a = 26

So even though we know they sold 26 apples, let's finish solving to check our work.

b + o + a = 50

b + 8 + 26 = 50

b + 34 = 50

b = 50 - 34

b = 16      

b = 2o  

b = 2 (8)

b = 16   Which works! Now the last step of checking our work:

.5b + .75o + .75a =  $33.50

.5(16) + .75(8) + .75(26) =  $33.50

8 + 6 + 19.5 = $33.50

14 + 19.5 = $33.50

33.5 = $33.50  Yes! It works too!

bananas = 16

oranges = 8

apples = 26

3 0
3 years ago
Please help me if you can. please show how you got the answer.
fomenos

Answer:

Step-by-step explanation:

The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:

\frac{x}{4.5}=\frac{15.3+7.4}{7.4} which simplifies a bit to

\frac{x}{4.5}=\frac{22.7}{7.4} and cross multiply to solve for x:

7.4x = 102.15 so

x = 13.8  That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:

A = (3.14)(6.9)² and

A = 3.14(47.61) so

A = 149.5 which rounds to 150, Choice C

5 0
3 years ago
Zack looks at the clock and sees the handle have made a 150 degrees angleHe realizes he has 2 hours before basketball practice s
wolverine [178]

AnswerMove

150

150

to the left of

a

a

.

150

a

,

2

h

o

u

r

s

Step-by-step explanation:

4 0
3 years ago
What is the area of a parallelogram with a height of 6 feet and a base of 10.5 feet?
natta225 [31]

Answer:

area = base \times height \\  = 10.5 \times 6 \\  = 63 \:  {ft}^{2}

5 0
3 years ago
Read 2 more answers
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