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Monica [59]
3 years ago
7

Joe"s Age Is three times Aaron's age and Aaron is six years older than Christina if the sum of their ages is 149 what is Christi

na's age Joe's age Aaron's age .
Mathematics
1 answer:
zhuklara [117]3 years ago
3 0

Answer:

Joe's age is 93 years

Aaron's age is 31 years

Christina's age is 25 years

Step-by-step explanation:

Let

x ---->Joe's age

y ----> Aaron's age

z----> Christina's age

we know that

Joe"s Age Is three times Aaron's age

x=3y ----> equation A

Aaron is six years older than Christina

y=z+6

isolate the variable z

z=y-6 ----> equation B

The sum of their ages is 149

x+y+z=149 ----> equation C

solve the system by substitution

substitute equation A and equation B in equation C

(3y)+y+(y-6)=149

solve for y

Combine like terms left side

5y-6=149

Adds 6 both sides

5y=149+6

5y=155

Divide by 5 both sides

y=31

<em>Find the value of x</em>

x=3y ----> x=3(31)=93

<em>Find the value of z</em>

z=y-6 ---- z=31-6=25

therefore

Joe's age is 93 years

Aaron's age is 31 years

Christina's age is 25 years

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Umnica [9.8K]

Answer:

w^{40}

Step-by-step explanation:

To simplify recall exponent rules:

1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.

2. When we multiply terms with the same bases, we add exponents.

3. When we divide terms with the same bases, we subtract exponents.

4. When we have a base to the exponent of 0, it is 1.

5. A negative exponent creates a fraction.

6. When we raise an exponent to an exponent, we multiply exponents.

7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.

We will use these rules to simplify.

Use rule #3 to simplify inside the parenthesis first.

\frac{w^{15}}{w^5}  = w^{10}

Now simplify the exponent of 4 using rule 6.

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Answer:

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Complete the solution of the equation. Find the value of y when x equals -15. -x ‒ 8y = -1
valkas [14]
To complete the solution of - x - 8y = -1, we first need to substitute x for -15.
As so:

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15 - 8y = -1

Next, we can subtract 15 from each side to get:

15 - 15 - 8y = -1 - 15
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Now, we can divide by -8 on each side to get the y by itself:

-8y / -8 = -16 / -8 
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Answer:

Step-by-step explanation:

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Area of shaded region= Area of square - [Area of triangle 1 + Area of triangle 2]

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