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arsen [322]
2 years ago
15

April is 19, Bryan is 20, Carla is 20, and Dave is 21, how old is Erica is the average of their given ages is 23?

Mathematics
1 answer:
alex41 [277]2 years ago
8 0

Answer: 35

Step-by-step explanation:

     The average can be found by adding their ages together and dividing by the number of ages.

     Given:

\frac{19+20+20+21+x}{5} = 23

     Multiply both sides of the equation by 5:

19 + 20 + 20 + 21 + x = 115

     Combine like terms:

80 + x = 115

     Subtract 80 from both sides of the equation:

x = 35

                    Erica is 35.

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Point A is located in which quadrant?<br> On a coordinate plane, point A is at (negative 3, 5).
slava [35]

Answer:

Quadrent 2

Step-by-step explanation:

7 0
3 years ago
Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.
Naddika [18.5K]

Answer:

x=16

Step-by-step explanation:

From the Free Response Row,

  • 8(15-m)=x

For the Total Time(in minutes) column

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Since x=55-3m and x=8(15-m)

Therefore:

55-3m =8(15-m)

55-3m=120-8m

Collect like terms

-3m+8m=120-55

5m=65

Divide both sides by 5

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Therefore:

x=55-3m=55-3(13)=55-39

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6 0
3 years ago
A company sells gadgets for $20/gadget and has a profit function from making and selling x gadgets of P(x) = 15x - 6000.
DENIUS [597]
This is the concept of algebra, at breakeven point there are no profits made. Hence, given the profit function 
P(x)=15x-6000
at breakeven point the number of units sold will be:
P(x)=0
thus:
0=15x-6000
15x=6000
x=400
the number of units sold at breakeven will be 400 units.
 The amount at breakeven wil be:
number of units x price of each unit
=400x20
=$ 8000

The results found are true breakeven point because at these points the company will not be generating any profits because the amount of revenue generated will be equal to the amount of expenses. This means that the difference between revenue and cost will be zero, therefor it satisfies the breakeven point rationale. 
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3 years ago
8. A pyramid has a volume of 8 cubic feet. The height is 2 feet. The base is rectangular. Give possible dimensions for the lengt
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Answer:

base = 12 ft²

The base could be 3 ft x 4 ft, 6 ft x 2 ft, etc.    (any numbers multiplied together = 12)

Step-by-step explanation:

volume = 1/3bh

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multiply both sides of the equation by 3:

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3 years ago
Ralph deposited $910 in an account that pays 5.2% simple interest for 3 1/2 years What is his ending balance
Svetradugi [14.3K]

Answer:

$165.62

Step-by-step explanation:

Multiply principle(910) by rate (0.052) and time (3.5)= interest(165.62)


6 0
4 years ago
Read 2 more answers
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