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Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 30. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.

Engineering

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.

for the slope a :

x changes by +5 (from -3 to 2)

y changes by -15 (from 10 to -5)

so, the slope is -15/+5 = -3

the equation looks now like

y = -3x + b

let's use the first point

10 = -3×-3 + b = 9 + b

1 = b

so, the equation is

y = -3x + 1

Answer:

-19/132

Step-by-step explanation:

To add fractions, find the lowest common multiple of the two denominators and multiply accordingly to make both denominators the same. In this case, the lowest common multiple of 11 and 12 is 132, so we need to multiply the first number by 12 and the second by 11. So we get [tex]\frac{36}{132} + (-\frac{55}{132} )[/tex] = [tex]\frac{36-55}{132}[/tex]=[tex]\frac{-19}{32}[/tex][tex]-\frac{19}{132}[/tex]

Answer:

7

Step-by-step explanation:

First you would square 3 which is nine. Then subrtact 2. The final answer is 7 .

Answer:

36

Step-by-step explanation:

8 * 4.5 = 36

James will earn 252 dollars if he work in a month from his part-time job. when his per hour pay is 8 dollars and assuming 4.5 weeks.

Whenever an employee work for a company he recieves a salary for his work now james is working as a part-time employee so he is getting 8 dollars for per hour working.

Suppose james is working one hour every day as a part timer so his income in one month or in 4.5 weeks will be

[tex]\rm James\ income =8\times 4.5\times 7[/tex]

[tex]\rm James\ Income= 252[/tex]

Hence James will earn 252 dollars if he work in a month from his part-time job. when his per hour pay is 8 dollars and assuming 4.5 weeks.

To know more about income follow

https://brainly.com/question/25745683

Answer:

q = 8

Step-by-step explanation:

-q/2 + 17 = 13

subtract 17 from each side to get:

-q/2 = -4

to isolate the 'q', multiply each side by -2 to get:

q = 8

the answer is t<-48

i hope this helped you if you need the explanation lmk

Answer:

When I was in my school I use to before the virus we use to do I-Ready all the time so I can promise y'all ain't the only ones

Answer:

c = 2.

Step-by-step explanation:

When the first part of the function has the value 0,  f(x) will also be 0 if the c wasn't there.

So the value of c is 2.

From the given graph n is a positive odd number.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

From the graph,

All the values of the graph are positive values (even for the negative values of x), but in the left side we can see that the function decreases and is different than the right side.

So this is not an even function, then n must be an odd number (n odd allows us to have negative values for y = f(x) that happen when x + k is negative).

Also, we can see that the function increases, if n was a negative number, like: n = -N

We would have: [tex]f(x)=\frac{a}{(x+k)^{\frac{1}{N} }} +c[/tex]

So in this case x is in the denominator, so as x increases, we would see that the value of y decreases, but that does not happen, so we can conclude that the value of n must be positive.

Then n is a positive odd number.

Therefore, n is a positive odd number.

Learn more about the exponential function here:

brainly.com/question/11487261.

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For every 10 games they won they lost 6:

50 wins/ 10 wins = 5

5 x 6 loses = 30 loses

50 wins + 30 loses = 80 total games

Answer: 80

The playground’s features are more than 25 feet away from the swings are;

Sandbox, Water fountain, Jungle gym

Looking at the given graph, the distances of the other features from the swing are;

For sandbox; 8 units

For restroom; 4 units

For water fountain; 9 units

For Jungle gym; 7 units

Bench; 5 units

Now we are told that each units on the graph represents 5 ft.

Thus, the respective distances from the swing are;

Sandbox to swing = 8 × 5 = 40 ft

Restroom to swing = 4 × 5 = 20 ft

Water fountain to swing = 9 × 5 = 45 ft

Jungle gym to swing = 7 × 5 = 35 ft

Bench to swing = 5 × 5 = 25 ft

Thus, the playground’s features are more than 25 feet away from the swings are;

Sandbox, Water fountain, Jungle gym

Read more about interpretation of graphs at; https://brainly.com/question/1638242

Answer:

52

Step-by-step explanation:

6+7=13

6:7=13

x:28

28/7=4

so you have to multiply by 4

4x6=24

24 boys and 28 girls

24+28=52

Answer:

52

Step-by-step explanation:

Lets put the ratio like this: 6x (boys) : 7x (girls)

because we know that the amount of girls is 28 we can set them equal as so:

7x = 28

÷ divide both sides by 7

x = 4

now add 6x + 7x to get the total people = 13x and because x equals 4, we can multiply 13 by 4. Which is 52

HOPE THIS HELPS :)

Answer:

30

Step-by-step explanation:

5x6=30

Answer:

-36/56

Step-by-step explanation:

Answer: maybe: perpendicular

Step-by-step explanation:

Step-by-step explanation: 10 / х - 4 = 2 ; 6 - 5у = - 4, 5 ; 2у + 1 / 3 = 5 ; 6, 2 / 3у + 1 = 2.

Answer:

the five differences are 24.88

Answer:

6/5 or 1 1/5

Step-by-step explanation:

Make a common denominator: 1/2 is equal to 5/10

7/10+5/10=12/10

12/10 simplified is 6/5

Answer: t= [tex]\frac{A-q}{r}[/tex]

Step-by-step explanation: subtract q from both sides, to get A-q=rt, then divide r by both sides to get the answer above

Answer:

265

Step-by-step explanation: Used a Calculator

Answer:

[tex]67x^{3} + 49x^{2} -34[/tex]

hopes this helps

a) x=24b+8v

4 * 24 = 96

120 - 96 = 24

24 / 8 = 3

b) 3

6 * 8 = 48

120 - 48 = 72

72 / 24 = 3

c) 3

120 / 8 = 15

d) 15

120 / 24 = 5

e) 5

Answer:

Step-by-step explanation:

To find the x-intercept, set y=0 and solve for x. That will mean dividing by the coefficient of x:

  -4x +0 = -16

  x = -16/-4 = 4 . . . . the x-intercept

__

To find the y-intercept, set x=0 and solve for y. That will mean dividing by the coefficient of y:

  0 +8y = -16

  y = -16/8 = -2 . . . . the y-intercept

__

The x- and y-intercepts are (4, 0) and (0, -2), respectively.

_____

Additional comment

The standard form equation of a line, ax+by=c, is especially nice for finding the intercepts, as they are always (c/a, 0) and (0, c/b). Once you see this, you can do a question like this in your head.

Answer:

Step-by-step explanation:

The slope of the perpendicular line with y = 2x + 3 is m = - 1/2.

Use point-slope form to find its equation:

or

or

Answer:

See below

Step-by-step explanation:

The slope of the perpendicular line with y = 2x + 3 is m = - 1/2.

Use point-slope form to find its equation:

y - y₁ = m(x - x₁)

y - 2 = - 1/2(x - 1)

or

y = -1/2x + 2 1/2

or

y = -0.5x + 2.5

give brainliest to me or to the person below or up bc I ctrl+c and ctrl+v

bc is soooo coool the other one lol

Answer:

6

Step-by-step explanation:

john quincy adams was the 6th president

Answer:

what's the question?

Step-by-step explanation:

Answer:

Hi there the answer is y-10

basically the answer is 2n-1  2n comes from the difference to get from 1 to three and the -1 from 2n to get to 1 you need to minus 1 so you get -1