Ask question

Ask question

All categories

3 years ago

15

Alvin is 7 years younger than Elgas. The sum of their ages is 63. What is Elgas age?

1 answer:

Elden [556K]3 years ago

6 0

Answer:

Elgas is 35.

Step-by-step explanation:

Let's set up an equation.

Alvin is 7 years younger than Elgas.

A = E - 7

The sum of their ages is 63.

A + E = 63

Let's use substitution.

Plug in the first equation of A into the second equation.

A + E = 63

(E - 7) + E = 63

Combine like terms.

2E - 7 = 63

Add 7 to both sides.

2E = 70

Divide both sides by 2.

E = 35

Elgas is 35.

Hope this helps!

You might be interested in

Inductive reasoning involves developing a general rule from specific situations. True or false

Fynjy0 [20]

Hey there,

The answer is true

Hope it helped!

6 0

3 years ago

Read 2 more answers

I need the answer for 6

Gnoma [55]

ME AGAIN!!! You should just let me do your homework from now on lol.

So, you have 4 red, 3 green and 1 yellow. Add all of those numbers together, you should get 8. How many green did you start with? You started with 3. So your answer is either 3:8, 3/8, or 3 to 8.

P.S: I can see the page fine. It isn't blurry. Hope that helped you!

5 0

3 years ago

PLEASE HELP ASAP

Crank

Option D: $f(x)=-2(x+2)(x-4)$ is the function

Explanation:

Let the general form of quadratic equation be $y=a x^{2}+b x+c$

The function passes through the intercepts $(-2,0)$ and $(4,0)$ and also passes though the point $(-1,10)$

Substituting the points $(-2,0)$ , $(4,0)$ and $(-1,10)$ in the equation $y=a x^{2}+b x+c$ , we get,

$4a -2b+c=0$ -----------(1)

$16a +4b+c=0$ ----------(2)

$a-b+c=10$ -----------(3)

Subtracting (1) and (2), we get,

$\ \ 4a -2b+c=0\\ 16a +4b+c=0\\\---------\\ \ \ -12a-6b=0$ -----------(4)

Subtracting (2) and (3), we get,

$16a +4b+c=0\\\ \ a \ \ - \ \ b \ +c=10\\---------\\15a+5b=-10$ ------------(5)

Multiplying equation (4) by 5 and equation (5) by 4, to cancel the term b when adding, we get,

$-60a-30b=0\\\ 90a+30b=-60\\--------\\30a=-60\\\ \ a=-2$

Thus, the value of a is $a=-2$

Substituting $a=-2$ in equation (4), we get,

$\begin{aligned}-12 a+6 b &=0 \\-12(-2)-6 b &=0 \\ 24-6 b &=0 \\ 24 &=6 b \\ 4 &=b \end{aligned}$

Thus, the value of b is $b=4$

Now, substituting the value of a and b in equation (1), we have,

$\begin{aligned} 4 a-2 b+c &=0 \\ 4(-2)-2(4)+c &=0 \\-8-8+c &=0 \\ c &=16 \end{aligned}$

Thus, the value of c is $c=16$

Now, substituting the value of a,b and c in the general formula $y=a x^{2}+b x+c$ , we get,

$y=-2x^{2} +4x+16$

Taking out the common term as -2 we get,

$y=-2(x^{2} -2x-8)$

Factoring , we get,

$y=-2(x+2)(x-4)$

Thus, the function is $f(x)=-2(x+2)(x-4)$

7 0

3 years ago

1. What is the least common multiple of both 9 and 12?

Kisachek [45]

1. the least common multiple of 9 and 12.
9 18 27 36
12 24 36
36
2. GCF of 9 and 12
1 3 9
1 2 3 4 6 12
3

7 0

3 years ago

Mumz [18]

Answer:

Α. 0

Step-by-step explanation:

Given A = -8 and B = 10

The distance between A and B

= B - A

= 10 - (-8)

= 10 + 8

= 18 units

4/9 of the way between A and B

= 4/9 of the distance between A and B

= 4/9 x 18 units

= 8 units.

Hence the location of the point that is 4/9 of the way from A to B

= value at point A + 8 units

= -8 + 8

= 0 (answer)

5 0

3 years ago