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DENIUS [597]
3 years ago
11

two boxes of apples contain a total of 24 apples. if you halve the number of apples in the first box and add 4 apples to the sec

ond box, the total changes to 20 apples. how many apples are in each box initially?
Mathematics
2 answers:
Llana [10]3 years ago
8 0
There was 16 apples in the first box and 8 apples in the second box initially.
stira [4]3 years ago
3 0

Answer:

16 in first and 8 in second

Step-by-step explanation:

Let the number of apples be x in the first box then the number in the second box will be 24-x

if we half the number of apples in first box we get  \frac{x}{2}

And we add 4 apples in the second box we get 24-x+4=28-x

Since the apples in the two boxes were 20  we get

\frac{x}{2}+28-x=20

x+56-2x=40

After simplification we get:

x=16

Hence, number of apples in first box were x that is 16

And number of apples in second box were 24-x that is 24-16 is 8


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Samuel helps his brother paint walls during his summer vacation he charges $10 for the first room and $5 for each additional roo
Delicious77 [7]

10+5x=50
subtract ten from both sides
5x=40
divide five from both sides
x=8
samuel will need to paint 8 additional rooms
5 0
3 years ago
A sealed tank of water measures 10cm x 8 cm x 40cm. When it stands on one
Pavel [41]

Answer:

New height = 6

Step-by-step explanation:

The water is going to be the same volume no matter how the tank is orientated.

So you can do this 2 ways.

First way

Find the volume in the tank when the water goes up 24 cm on the height.

V = L*W*h

L = 8

W = 10

H = 24

V = 1920 cm^3

Now do it using the

L = 40

W = 8

h = ?

1920 = L * W * h

1920 = 40 * 8 * h

1920 = 320 * h

h * 320 = 1920

h = 1920/320

h = 6

Or you can do it without finding the 1920

L*W*h = L1 * w1 * h1

8*10*24 = 40 * 8 * h                                The 8's cancel

10*24 = 40*h                                           Divide both sides by 10

24 = 4h                                                    Divide by 4

h = 6

Same as you got before.

7 0
3 years ago
The formula F = ma shows the relationship between force, mass, and acceleration. Solve this formula for a.
Alchen [17]
Can you please put the formula in
8 0
3 years ago
Zack is purchasing a bag of apples. The cost of apples is proportional to the weight of the apples in pounds as shown on the gra
White raven [17]
Hello,

The graph below is the graph you may have forgotten to upload. This will help me understand the question better and to give you a great answer.

  A:  " 1 lb of apples will cost Zack $2.50. "  
___________________________________________  C:  " 4 lb of apples will cost Zack $10. "
Hope this helps


-Jurgen :D

7 0
3 years ago
Which equation is equivalent to √x^2+81 = x+10
jeka57 [31]

Keywords:

<em>equation, operations, equivalent, binomial, square root </em>

For this case we have an equation in which we must apply operations to rewrite it in an equivalent way. We must start by raising both sides of the equation to the square. Thus, we eliminate the square root of the left side of equality and finally solve the binomial of the right side of equality.

So we have:

\sqrt {x ^ 2 + 81} = x + 10\\(\sqrt {x ^ 2 + 81}) ^ 2 = (x + 10) ^ 2\\x ^ 2 + 81 = (x + 10) ^ 2

By definition:(a + b) ^ 2 = a ^ 2 + 2ab + b ^ 2

x ^ 2 + 81 = x ^ 2 + 2 (x) (10) + (10) ^ 2\\x ^ 2 + 81 = x ^ 2 + 20x +100

Thus, x ^ 2 + 81 = x ^ 2 + 20x +100 is equivalent to \sqrt {x ^ 2 + 81} = x + 10

Answer:

x ^ 2 + 81 = x ^ 2 + 20x +100

Option D

4 0
3 years ago
Read 2 more answers
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