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Brrunno [24]
2 years ago
13

If EF=2x−12, FG=3x−15, and EG=23, find the value of FG

Mathematics
1 answer:
bixtya [17]2 years ago
5 0

Answer:

FG= 15

Step-by-step explanation:

2x-12+3x-15=23

5x-27=23

-27+27 23+27

5x=50

5x/5=50/5

x=10

FG= 3x-15

3(10)-15

30-15

FG=15

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to determine a dog's age in dog or human years, you divide or multiply by 7

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The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3
Marina86 [1]

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

Assuming the volume of the Box is 258.75\ in^3.

Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

Volume = Length\times height\times width

Substitute all given value in above formula.

258.75 = (h-4)\times h\times 3

Rewrite the equation as:

258.75 = 3h(h-4)

258.75 = 3h^2-12h

3h^2-12h-258.75=0

whole equation divided by 3.

h^2-4h-86.25=0

Use quadratic formula with a = 1, b = -4,c=-86.25

h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}

Put these a, b and c value in above equation.

h=\frac{-(-4)\pm \sqrt{(-4)^{2}-4(1)(-86.25)}}{2(1)}

h=\frac{4\pm \sqrt{16+345}}{2}

h=\frac{4\pm \sqrt{361}}{2}

h=\frac{4\pm 19}{2}

For positive sign

h=\frac{23}{2}  

h = 11.5 in

For negative sign

h=\frac{-15}{2}

h = -7.5

We take positive value of h.

Therefore, the height of the box h = 11.5 in

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3 years ago
Plz help 7x^2 - 6(x + 3)
max2010maxim [7]

Answer:

7x² - 6x - 18

Step-by-step explanation:

7x² - 6(x + 3)

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7x² - 6x - (6 × 3)

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= <u>7x² - 6x - 18</u>

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2 years ago
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