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Anton [14]
3 years ago
8

Represent the answer of each of the following by an algebraic expression.

Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0

(A) 4(x+5). Distribute the 4 (multiply both numbers by 4) and you get

4x+4*5

4x+20

(B) 70 km/h * y hours is 70y km, because you traveled 70 km every hour, so it's 70 times y.

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How many gallons of a 50% antifreeze solution must be mixed with 70 gallons of 30% antifreeze to get a mixture that is 40% antif
Colt1911 [192]

Answer:

70 gallons

Step-by-step explanation:

x gallon of 50%

x * 0.5 + 70 * 0.3 = (x + 70) * 0.4

0.5x + 21 = 0.4x + 28

0.1x = 7

x = 70

5 0
3 years ago
Buddy painted (1/5) of the 320 nutcrackers.How many nutcrackers did buddy paint
just olya [345]

Answer:

64

Step-by-step explanation:

Given that,

Buddy painted (1/5) of the 320 nutcrackers.

We need to find how many nutcrackers did buddy paint. It can be calculated by finding (1/5) of 320.

x=\dfrac{1}{5}\times 320\\\\=64

Hence, he painted 64 nutcrackers.

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What is the answer to 90x144?
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4 0
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Solve the system 2x+4y=16 5x +3y=19 then find the value of y/x
AURORKA [14]

Answer:

I would change 2x+4y=24 into x=12–2y

To do that, divide both sides by 2 and then subtract 2y on each side.

After that, substitute for x. 3x+2y=19 would become 3(12–2y)+2y=19.

Then solve.

3(12–2y)+2y=19

36–6y+2y=19

-4y+36=19

-4y=-17

y=4.25

Then, substitute y in either equation.

Either this:

3x+2y=19

3x+2(4.25)=19

3x+8.5=19

3x=10.5

x=3.5

Or:

2x+4y=24

2x+4(4.25)=24

2x+17=24

2x=7

x=3.5

Or you could solve it in the equation you created in the beginning:

x=12–2y

x=12–2(4.25)

x=12–8.5

x=3.5

The coordinates where the lines intercept are (3.5, 4.25).

Sorry for the long answer!

4 0
3 years ago
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