Kevin is twice as old as his sister Amy their father is five times as old as Amy if the sum of the ages is 64 how old is Amy

Answers

Answer 1

Answer:

8 years old

Step-by-step explanation:

Set Amy's age as x.

Kevin's age will be 2x, since he is two times as old as Amy.

Father's age will be 5x, since he is five times as old as Amy.

x + 2x + 5x = Sum of the ages = 64

x + 2x + 5x = 64

Combine like terms: 8x = 64.

Divide 8 on both sides: x = 8.

Amy's age = 8.

Hope this helps!


Related Questions

Directions: Directions: Identify x1, x2, y1, and y2. Solve for the of the line passing through the given points. Identify if the slope is positive, negative, zero, or undefined.

1.​(2,1) and (5,3)
2.​(-2,1) and (1, -3)
3.​(4,1) and (5,1)
4.​(7,-1) and (7,5)
5.​(-2,1) and (3,6)​

Answers

Step-by-step explanation:

Number 1

m = (y2 - y1)/(x2 - x1)

m = (3 - 1)/(5 - 2)

m = 2/3 POSITIVE

Number 2

m = (y2 - y1)/(x2 - x1)

m = (-3 - 1)/(1 + 2)

m = -4/3 NEGATIVE

Number 3

m = (y2 - y1)/(x2 - x1)

m = (1 - 1)/(5 - 4)

m = 0/1

m = 0 ZERO

Number 4

m = (y2 - y1)/(x2 - x1)

m = (5 - 1)/(7 - 7)

m = 4/0

m = UNDEFINED

Number 5

m = (y2 - y1)/(x2 - x1)

m = (6 - 1)/(3 + 2)

m = 5/5

m = 1 POSITIVE

What is the equation of variation if p varies jointly as q and r, and the constant of variation is 4?
a. p = 4qr
b. q = 4pr
c. 4 = pqr
d. r = 4pq​

Answers

Answer:

a

Step-by-step explanation:

Given p varies jointly as q and r then the equation relating them is

p = kqr ← k is the constant of variation

Given k = 4 , then

p = 4qr ← equation of variation

Rewrite the following in ascending order.
(a) -3/8, 5/-12, -7/16, -13/18, 11/-24​

Answers

Answer:

-13/8 , -11/24, -7/16, -5/12 , -3/8

Step-by-step explanation:

Given numbers are -3/8 , 5/-12, -7/16, -13/18 , 11/-24

The can be written as -3/8, -5/12, -7/16, -13/18, -11/24

The denominators = 8,12,16,18,24

LCM of the denominators = 144

-3/8 = (-3/8)×(18/18) = -54/144

-5/12 = (-5/12)×(12/12) =-60/144

-7/16 = (-7/16)×(9/9) = -63/144

-13/18 = (-13/18)×(8/8) = -104/144

-11/24 = (-11/24)×(6/6) = -66/144

Ascending order of the numbers

= -104/144 , -66/144, -63/144, -60/144, -54/144

-13/8 , -11/24, -7/16, -5/12 , -3/8

h(x)=2x^(2)
evaluate for h(3/2)

Answers

Answer:

hope it helps you.........

Which is greater, 2 to the fifth power or 5 squared?

Answers

Answer: 2^5

Step-by-step explanation:

2^5= 2x2x2x2x2=32

5^2=5×5=25

2 to the 5th power is the correct answer

Write the equation of the line with a slope of 3/4 that passes through the point (4,-2)​

Answers

Step-by-step explanation:

Slope = 3/4

Point = (4,-2)

Using the point Slope form ,

=> x - 4 = 3/4 ( y -(-2))

=> x -4 = 3/4 ( y -2)

=> 4x -16 = 3y -6

=> 4x -3y -16+6=0

=> 4x -3y -10 = 0

Giúp mình giải với mọi người. Cẩm ơn rất nhiều

Answers

Answer:

B. 4√5

Step-by-step explanation:

x bằng căn bậc hai của (8^2 + 4^2) theo định lý pytago, trong tam giác vuôn, c^2 = a^2 + b^2

the answer gzzydyyxggxggxxghyzyxycycgcycyc

Answers

Step-by-step explanation:

we start with the first and the third equations, as they have the same content structure.

we multiply the whole first equation by 2, so that the z terms become aligned, and then we add both equations :

-8x + 4z = 28

-2x - 4z = 22

--------------------

-10x + 0 = 50

x = -5

-2x - 4z = 22

-2×-5 - 4z = 22

10 - 4z = 22

-4z = 12

z = -3

y = x + z + 12

y = -5 - 3 + 12 = 4

Examine this set of ordered pairs. (2,5) (8,9) (11,6) (18,2) (7,9) Is the set of ordered pairs a function? Choose the answer that's entirely correct.

(A) The set of ordered pairs is a function, because each input has exactly one output.


(B) The set of ordered pairs is not a function, because the output 9 has two different input values.


(C)The set of ordered pairs is a function, because each output has exactly one input.

(D) The set of ordered pairs is not a function, because the number 2 is both an input and an output.

Answers

A, each input is paired with exactly one output, meaning each x value is paired with exactly one y value

Answer: A

Step-by-step explanation:

as long as the x-coordinates are all different numbers then it is a function.

please the answer and how i should write it

Answers

Answer:

86,400,000 bacteria

Step-by-step explanation:

2^5=32, 3^3=27, 10^5=100,000

32*27*100,000

Answer:

There are 86400000 bacteria in the Petri dish.

Step-by-step explanation:

Write in standard form:

[tex]2^{5}[/tex] = 2 x 2 x 2 x 2 x 2 = 32

[tex]3^{3}[/tex] = 3 x 3 x 3 = 27

[tex]10^{5}[/tex] = 10 x 10 x 10 x 10 x 10 = 100000

32 x 27 x 100000

= 86400000

hope this helps and is right!! p.s. i really need brainliest :)


I need help I will give 40 points and Brainliest!!!!!!Finding the Slope of a Line from a Table
x
y
What is the slope of the linear function represented in
the table?
O-7
-7
0
17
oi
0
O 7

Answers

Answer:

hmmmmm

Step-by-step explanation:

Drag each tile to the correct box. Complete the sequence for deriving the quadratic formula using the quadratic equation in standard form, .

Answers

Answer:

see the picture

Step-by-step explanation:

By the below figure (6) is the initial equation

(1) next added (b/2a)^2 on both sides to make it whole square on left side which gives (4) in (4) both terms are added on the right side to make it (5)

then square root on both sides gives (2) and now taking b/2a to the right side gives the final quadratic formula (3)

We can obtain the quadratic formula from completing the square method as shown.

The quadratic formula is derived from the completing the square method as follows;

Given the quadratic equation;

[tex]ax^{2} + bx + c =0[/tex]

Dividing through by a we have;

[tex]x^{2} + \frac{b}{a} + \frac{c}{a} = 0[/tex]

Adding half of b to both sides of the equation, we have;

[tex](x + \frac{b}{a}) ^{2} = \frac{-c}{a} + \frac{b^2}{4a^2}[/tex]

Taking LCM of the right hand side;

[tex](x + \frac{b}{2a})^{2} = \frac{b^2 - 4ac}{4a^2}[/tex]

Making x the subject of the formula;

[tex]x = \frac{-b + \sqrt{b^2 - 4ac} }{2a}[/tex]

Learn more: https://brainly.com/question/14283892

Find the x
1/2x+3/4=x5/6

Answers

Answer:

[tex]x=\frac{9}{4}[/tex]

Step-by-step explanation:

Answer:

[tex]\boxed{\boxed{\sf x=\frac{9}{4} }\:\sf or \:\boxed{x=2.25}}[/tex]

Step-by-step explanation:

[tex]\sf \cfrac{1}{2}\:x+\cfrac{3}{4}=\:x\cfrac{5}{6}[/tex]

Subtract x (5/6) from both sides:

[tex]\longmapsto\sf \cfrac{1}{2}\: x+\cfrac{3}{4} -x\left(\cfrac{5}{6}\right)=0[/tex]

Subtract 3/4 from both sides:

** Anything subtracted from zero gives its negation.**

[tex]\longmapsto\sf -\cfrac{1}{3}\:x=-\cfrac{3}{4}[/tex]

Multiply both sides by -3, reciprocal of - 1/3

[tex]\longmapsto\sf x=-\cfrac{3}{4} (-3)[/tex]

Express - 3/4 (-3) as single fraction:

[tex]\longmapsto\sf x=\cfrac{-3(-3)}{4}[/tex]

Multiply -3 and -3 = 9

[tex]\longmapsto\sf x= \cfrac{9}{4}[/tex]

______________________________________

The graph of the function y = -2x + 4 is shown below.
If the line is translated 2 units up, which equation will best
describe the new line?

Answers

Answer:

y= -2x +6

Step-by-step explanation:

One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a linear model that represents the growth of the tree. How long does it take for the tree to reach its maximum height of 28 feet?

Answers

It takes 9 years for it to fully grow if you start from the first year.

which expession represents the product of 3 and 7

Answers

3 × 7

i took the test

Mike is going to have to wait for 5
more minutes in order for the factory to
be at lunch so he can put Boo back.
What percentage of time out of an hour
does he have to wait

Answers

Answer:

12%

Step-by-step explanation:

if you divide 5 from 1 hour which is 60 min you get 12 and convert that to percent and you get 12%

write the equation of the line perpendicular to y=2/5x+7/5 that passes through the point (-4,3)

Answers

Answer: y=-5/2x+9/2

Step-by-step explanation: We are using (-4,3) as our x and y and -5/2(reciprocal of 2/5) as our slope.

y-3=-5/2(x+4)

multiply x and 4 by -5/2

y-3=-5/2x+3/2

add 3 to both sides

y=-5/2x+9/2

PLEASE HELP ASAP GIVING BRAINLIEST

Answers

Answer:

brainliest mo munako

Step-by-step explanation:

bago answer pede maliwaag ba

What is the reason for #2?

A by AA

B Given

C Reflexive property

D Vertical Angles

Answers

Answer:

I am not sure but i will say C.

Step-by-step explanation:

Hannah was asked to make d the subject of the formula
d-7=4d+3/e
Finish her question.

Answers

Answer:

[tex]d = \frac{-1}{e} - \frac{7}{3}[/tex]

Step-by-step explanation:

In order to make d the subject of the formula, you need to isolate it.

- You started with d-7 = 4d + 3/e

- Move 4d to the left side by subtracting 4d from both sides to cancel it from the right so you have...

d - 7 = 4d + 3/e              This will leave you left with -3d - 7 = 3/e

-4d     -4d                          

- Then move over the -7 by adding 7 to both sides...

-3d - 7 = 3/e              This will leave you left with -3d = 3/e + 7

     +7          +7

- Finally to get d by itself divide both sides of the equation by -3 and you'll be left with...

[tex]d = \frac{3}{-3e} -\frac{7}{3}[/tex]

- You can cancel out the 3 in the -3/3e and make it -1/e so your final answer will be

[tex]d = \frac{-1}{e} - \frac{7}{3}[/tex]

jason and ben are coworkers five years ago jason was 2.5 times as old as ben if ben is 31 how old is jason]

Answers

Answer:

65

Step-by-step explanation:

if 5 years ago Ben is 26 years old then Jason was 65.

If you multiply 26 by 2.5 then you'll get 65.

Mark is a plumber. He charges $28 per job plus S20 per hour. If the
total labor bill for a job was $58, how many hours did Mark work?

Answers

Answer:

He worked 1.5 hours

Step-by-step explanation:

58-28= 30

30/20 per hour

1.5

Help me with this math question please.

Answers

Answer:

The second one : x + 90 + 61 = 180

Step-by-step explanation:

I hope this helps!

Let me know if you need the explanation.

Please help! I will give brainlist

Answers

1)x=-1
2)x=7+square root of 33/2
3)x=1+square root of 5/2
4)x=1 or x=-10
5)2+square root of 7 or 2-square root of 7
6)i don’t now this
7)x=0
8)3+ square roof of 41/2
9)-3+square root of 13/2
10)x=2 or x=1
11)y=6 or y=1
12)z=4 or z=1
Formula for this equation is:
ax^2+bx+c=0
X=-b+ or - square root of b^2-4ac/2a
Hope this help

Which image does not show a pair of triangles that can be proven similar point
by Angle-Angle?

Answers

Answer:

a

Step-by-step explanation:

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

please help i dont know if its a growth or decay factor or what percentage its going up by

Answers

Answer:

Check my notes

Step-by-step explanation:

I made note of this last year

0.5 compared to 2/4 ??? PLEASE ANSWER . I really need help :(

Answers

Answer:

They are the same

Step-by-step explanation:

0.5 = 2/4

Half of 100 is 50

2/4 is half

Solve the radical equation, if possible. (30 points)

Would prefer work shown as it would help, thank you.

Answers

Answer:

4.25

Step-by-step explanation:

Shown in photo

poor word choice i need explanation

Answers

Answer:

Huh?

Whats the question?

An act or judgment that is misguided or wrong. bad choice. error.
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