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3 years ago

Simplify the ratio fully 24:78

Mathematics

2 answers:

olya-2409 [2.1K]3 years ago

8 0

Answer:

4 : 13

Step-by-step explanation:

Divide both numbers by 6

Andrei [34K]3 years ago

5 0

Answer:

4:13

Step-by-step explanation:

24/4 = 4

78/4= 13

4:13

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Answer:

31 nickels and 29 dimes

Step-by-step explanation:

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3 years ago

Ez20 chaarecter long

Likurg_2 [28]

Answer:

24 oz has the lowest cost per ounce.

Step-by-step explanation:

12 oz ---> $2.49

1 oz --> $2.49/12

1 oz --> $0.2075

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1 oz --> $0.225

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1 oz --> $5/20

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1 oz --> $4.56/24

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2 years ago

The equation 4x2 – 24x + 4y2 + 72y = 76 is equivalent to

DerKrebs [107]

Answer:

Option 4 is correct.

The equation $4x^2 -24x + 4y^2 + 72y = 76$ is equivalent to $4(x-3)^2 + 4(y+9)^2 =436$

Step-by-step explanation:'

Given equation: $4x^2 -24x + 4y^2 + 72y = 76$

First group the terms with x and those with y;

$(4x^2-24x)+(4y^2+72y) = 76$

Next, we complete the squares.

We can do this by adding a third term such that the x terms and the y terms are perfect squares.

For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.

⇒ $4(x^2-6x) +4(y+18y) = 76$

$4(x^2 -6x +3^2 -3^2) + 4(y^2 +18y +9^2 -9^2) = 76$

$4(x^2-6x + 3^2) - 36 + 4(y^2+18y +9^2) - 324 = 76$

$4(x-3)^2 + 4(y+9)^2 - 360 =76$

Add 360 on both sides we get;

$4(x-3)^2 + 4(y+9)^2 =360 +76$

Simplify:

$4(x-3)^2 + 4(y+9)^2 =436$

Therefore, the given equation is equivalent to $4(x-3)^2 + 4(y+9)^2 =436$

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3 years ago

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6x/5 + 7 + -2x/3

Step-by-step explanation:

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