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Mamont248 [21]
3 years ago
5

Adam, Brian, and Casey are all brothers. Brian is three years less than twice Casey’s age. Adam is 9 years older than Casey. The

sum of their ages is 46. How old is each of the brothers
Mathematics
1 answer:
blagie [28]3 years ago
8 0

Let Casey's age be x

Brian's age will be -3 from 2 times x ( Casey's age ) so it will be 2x-3

Adam's age will be Casey's age (x) + 9 which is x+9

NOW the sum of all these ages is 46 so..

Casey's age + Brian's age + Adam's age = 46

x + 2x-3 + x+9 = 46

2x + x + x + 9 -3 = 46

4x + (9 - 3) = 46

4x - 6 = 46

now transfer the numbers on the left one by one to the other side( right )

4x = 46 - 6        ( always remember the sign of the number becomes the                            opposite when we transfer them to other side)

4x = 40

x = 40 / 4

x = 10

so x = Casey's age = 10

2x - 3 = Brian's age = 2 * 10 - 3

                                = 20 - 3   =   17

x + 9 = Adam's age = 10 + 9 = 19

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2 years ago
The parabola y=ax^2+bx-10 passes through the points (4.5,8) and (-2.5, 15). Determine the values of a and b
yuradex [85]
y=ax^2+bx-10 \\ \\
(4.5,8) \\
8=a \times 4.5^2 + b \times 4.5-10 \\
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18=20.25a+4.5b \\ \\
(-2.5,15) \\
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The system of equations:
18=20.25a+4.5b \ \ \ |\times 5 \\
25=6.25a-2.5b \ \ \ |\times 9 \\ \\
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90+225=101.25a+56.25a \\
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12.5=-2.5b \ \ \ |\div (-2.5) \\
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3 years ago
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7 0
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Answer:

Option C. 42\ yd^{3}

Step-by-step explanation:

we know that

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Convert 9 ft to yd

Remember that

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B=\frac{1}{2}(3)(4)=6\ yd^{2}

we have

H=7\ yd

substitute the values in the formula

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V=(6)(7)=42\ yd^{3}

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3 years ago
Read 2 more answers
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