1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BigorU [14]
3 years ago
15

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

Mathematics
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
Please help!!
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
Other questions:
  • what is the volume of this right cone with a radius of 12 CM a height of 15 cm and a slant of 19.2 cm​
    5·2 answers
  • Mei is writing 4.28 as a mixed number. Find her mistake and correct it.
    5·2 answers
  • indicate in standard form the equationof the line passing through the given point and having the given slopeB(6,2),m= -1
    11·1 answer
  • A building 50 ft casts a 75 ft shadow. Sarah casts a 6ft shadow. The triangle formed by the building and its shadow is similar t
    10·1 answer
  • Let f(x) = -3x + 7 and g(x) = 2x^2 - 8, (g×f)(x)
    5·1 answer
  • Can someone help me?
    9·1 answer
  • Which equation best models the data in the table below?
    6·1 answer
  • On the school playground, the slide is 8 feet due west of the tire swing and 6 feet due south
    7·1 answer
  • Please help quick you need​
    15·1 answer
  • PLEASE HELPPP :))
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!