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jeka57 [31]
3 years ago
15

Solve for b: 1/2(4a + 10b) = c​

Mathematics
1 answer:
andriy [413]3 years ago
6 0

Answer:

b = (c - 2a) / 5

Step-by-step explanation:

1/2(4a + 10b) = c

2a + 5b = c

5b = c - 2a

b = (c - 2a) / 5

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A cubed-shaped box has its side lengths decreased by 3 cm, when this happens, the volume decreases by 1385cm^3. What is the side
mixer [17]

Answer:

Step-by-step explanation:

let side of cube=x cm

volume=x³ cm³

again side=(x-3) cm

volume=(x-3)³ cm³

x³-(x-3)³=1385

(a³-b³)=(a-b)(a²+ab+b²)

(x-x+3){x²+x(x-3)+(x-3)²}=1385

3(x^2+x²-3x+x²-6x+9)=1385

3(3x²-9x+9)=1385

9x²-27x+27=1385

9x²-27x+27-1385=0

9x²-27x-1358=0

x=\frac{27\pm\sqrt{(-27)^2-4*9*(-1358)} }{2*9} \\x=\frac{27\pm\sqrt{729+48888} }{18} \\or~x=\frac{27\pm\sqrt{49617} }{18} \\or~x=\frac{27\pm 222.749}{18} \\taking positive side only as negative sign gives negative length.\\or~x=\frac{27+222.749}{18} \\or~x\approx13.87

3 0
3 years ago
Shuping and joshua had the same amount of money. Joshua paid $9.10 for a bag and had $16.25 left. Shuping bought a pen and had $
tiny-mole [99]

Answer:

$5.75

Step-by-step explanation:

Joshua paid $9.10 for a bag and has $16.25 left

Now let's find out how much Joshua had before spending on a bag. To do this, we simply sum up the cost of the bag and how much Joshua had lefyt

9.10 + 16.25

=$25.35

Since Joshua and Shopping had the same amount, Shuping also had $25.35

To get the cost of the pen, we subtract the amount Shuping had left after purchasing the pen

This gives;

25.35 - 19.60

=$5.75

8 0
3 years ago
Read 2 more answers
32.5% of what is 12.48?
Agata [3.3K]
Percent is the amount of something in a whole per amount of the whole times 100. To solve for this problem, we write an expression and assign x as the number that represents the number where 32.5% is equal to 12.48.

(32.5/100)x = 12.48
x = 38.4
7 0
4 years ago
Please help fast!! thanks
LuckyWell [14K]
D i think hopfully im right 

6 0
3 years ago
The perimeter of a rectangular carpet is 48 inches. It’s length is 2 meters larger than its width. Find its length
posledela

Answer:

Length = 11 meters

Step-by-step explanation:

( x + 2 ) + ( x + 2 ) + x + x = 48

4x + 4 = 48

     - 4     - 4

4x = 44

divide by 4

x = 11

6 0
3 years ago
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