PLS HELP ILL GIVE BRAINLIEST

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.

Answers

Answer 1

Answer:

Kim's age is twice of that of her sister. We'll let k2 = Kim and k = Kim's sister.

So, k2. When you add Kim's age to her sister age you get 36.

Because Kim is twice the age of her sister k2. And because it said 'add' then we put a + sign. k2 + s = 36. Now let's solve it.  

k2 + k = 36 < Given

3k = 36 < Combine like terms

k = 12 < Divide both sides by 3

We know Kim's sister is 12 y/o but what about Kim herself? Earlier we assigned Kim to k2. Substitute 12 for k and you get 12(2) = 24

Kim's sister is 12 y/o and Kim is 24 y/o

Step-by-step explanation:

Mark as brainliest please

Answer 2

Kim's age = x

Age of her sister = y

Acoording to conditions, [tex]x=2y[/tex]

The equation  is,

[tex]x+y = 30 \\\\\implies 2y + y = 30\\\\\implies 3y = 30 \\\\\implies y = 10\\\\x = 2y = 2(10) = 20\\\\\text{Hence, Kim is 20 years old and her sister is 10 years old.}[/tex]


Related Questions

How to divide with decimals and fractions.

Answers

Answer:

Dividing Decimals

Step 1: Estimate the answer by rounding .

Step 2: If the divisor is not a whole number, then move the decimal place n places to the right to make it a whole number.

Step 3: Divide as usual.

Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.

Step-by-step explanation:

Step 1. Turn the second fraction (the one you want to divide by) upside down

(this is now a reciprocal).

Step 2. Multiply the first fraction by that reciprocal

Step 3. Simplify the fraction (if needed)

Mr. Green is still repairing that old, rundown house he recently purchased. He finally fixed that leaky faucet in the kitchen, but now the bathroom faucet is leaking. He’s wondering if the dripping rate is the same as the kitchen, so again he starts his observations. However, this time he notes that for the bathroom faucet, 8 ounces of water dripped in 12 minutes.
A) At this rate, how many ounces of water will drip in a day?

Answers

Answer:

960 ounces in 1 day

(Sorry for a late response, I just logged on)

Step-by-step explanation:

Most of that information is negligable (not important) besides 8 ounces in 12 minutes.

so an hour is 60 minutes, if we multiply both parts of the problem by 5 we get

40 ounces in 1 hour

a day is 24 hours, so if we multiply both sides by 24 well get our answer

960 ounces a day

-- Gage Millar, Algebra 1/2 tutor

Answer:

960 ounces

Step-by-step explanation:

First, let's find how much water will drip in an hour (60 minutes), so we can make an equation:

8/12 = x/60

And if you multiply both sides of the equation by 60 you will get 8*5 = x which is 40. So, we know that in one hour, 40 ounces of water will drip from the bathroom faucet. To find how much water will drip in a day, just multiply 40 by 24 (since there are 24 hours in a day). That would result in 960.

-----------------------------------------------------------
Standard form / Slope intercept form

_____________1. 3x -y = 7
_____________2. y = 5x - 2
_____________3. 2x + y = -4
_____________4. y = - ¾ x + 1
_____________5. 4 x - y = -8
_____________6. y= -x + 9
_____________7. 3x + 6y = 12
_____________8.y = ⅔x + 5
-----------------------------------------------------------


Answers

Answer:

1.) y=3x-7

2.) 2=5x-y

3.) y=-4-2x

4.) 1=3/4x+y

5.) y=4x+8

6.) 9=3/4x+8

7.) 9=y+x

8.) y=-2/6x+2

9.) 5=-2/3x+y

Step-by-step explanation:

Standard form is Ax=By=C and Slope form is y-mx+b

for all of the equations fiqure out which is standard and which is slope, 3x-y=7 is standard and just switch it to slope ie:

3x-y=7

+7 -7

3x-7=y

then switch around so y is in the front and vice versa, also divde any y or C by negative 1 if the answer is negative or if there is a number in front of it like in 9, and 8

2 1/4 x 3 2/5
show all your work

Answers

Answer:

153/20

Step-by-step explanation:

I assume you're asking

[tex]2 \frac{1}{4} \times 3 \frac{2}{5} [/tex]

So

[tex] \frac{9}{4} \times \frac{17}{5} [/tex]

=

[tex] \frac{153}{20} [/tex]

If Rick buys a remote control car for $33.00, what is his selling price?

Answers

Answer:

a

Step-by-step explanation:

7
During spring training, the Detroit Tigers won about 2/3 of the games they played while the
Cleveland Indians won 7/15
of the games they played. What fraction more of the games did
Detroit win than Cleveland?


please answer my question and dont give me a link

Answers

Answer:

3/15 or 0.2

Step-by-step explanation:

You would need to subtract as it is asking for amount MORE won.

2/3 - 7/15

Make the denominator the same in order to subtract.

= 10/15 - 7/15

Subtract.

= 3/15

Use the transitive property of equality to finish the equations

Answers

Answer:

since 4y=12 and 4y=2x then 4y=12=2x or 12=2x

Rhonda started a business. Her business made $30,000 in profits the first year. Her annual profits have increased by an average 5% each year since then.


A) Write an iterative rule to model the sequence formed by profits of Rhonda’s business each year.


B) Use the rule to determine the annual profits of Rhonda’s business can be predicted to be 15 years from the start of her business. Round your answer to the nearest dollar. Do not round until the end, show your work.

Answers

Using an exponential function, it is found that:

a) The model is: [tex]A(t) = 30000(1.05)^t[/tex]

b) Her predicted profit is of $62,368.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate.

Item a:

$30,000 in profits on the first year, hence [tex]A(0) = 30000[/tex].Grows 5% each year, hnce [tex]r = 0.05[/tex]

Then:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 30000(1 + 0.05)^t[/tex]

[tex]A(t) = 30000(1.05)^t[/tex]

Item b:

[tex]A(15) = 30000(1.05)^{15} = 62368[/tex]

Her predicted profit is of $62,368.

For more on exponential functions, you can check https://brainly.com/question/25537936

The supermarket has 10 aisles. 1 of the aisles is empty. What percentage of the aisles are empty?

Write your answer using a percent sign (%).

Answers

Answer:

10%

Step-by-step explanation:

1 out of 10 isles is the same as doing 1 divided by 10, which gets 0.1. To make this a percentage you would multiply it by 100 to get 10%

Simplify the following expression.

5/6 x 3/5

Answers

Answer:

1/2

Step-by-step explanation:

5/6 • 3/5

15/30 = 1/2

Answer:

1/2

Step-by-step explanation:

For fraction multiplication, multiply the numerators and then multiply the denominators to get

5 × 3/ 6 × 5 = 15/30

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 30 using

GCF(15,30) = 15

15 ÷ 15/30 ÷ 15 = 1/2

Therefore:

5/6 × 3/5 = 1/2

Solve the equation. Enter your answer in the box. V27​

Answers

The correct answer is 3
3


step by step explanation: when it has the little 3, it means what number would need to be divided by itself to equal the number


hope this helps

Please help if it's right I'll give brainliest

Answers

Answer:

Since XBC is 55 degrees and triangle BXC is isosolese, angle BCX is also 55 degrees. 180 - 110 = 70

so angle BXC is 70 degrees.

Consider the hypotenuse of a right triangle with two legs that are two inches and one inch long, respectively. The length of the hypotenuse, in inches, is between which pair of the following fractions?
a 9/4 10/4
b 17/8 18/8
c 14/4 15/4
d ¼ ⅓
e ¾ 5/4

Answers

Answer:

b

Step-by-step explanation:

Pythagoras formula for the relation of the side lengths of a right-angled triangle :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle). a and b are the "legs".

so, we have here

c² = 1² + 2² = 1 + 4 = 5

c = sqrt(5) = 2.236067977...

so, answer option c is too big (values bigger than 3).

answer options d and e are too small (values smaller than 2).

a

9/4 = 2.25

10/4 = 2.5

this is also too big .

that leaves us with b

17/8 = 2.125

18/8 = 9/4 = 2.25

that is correct

The distance from Jason's house to school is 0.9 kilometer. What is this distance in meters?

The distance from Jason's house to school is
meters.

Answers

Answer:

900 meters

In 0.9 move the decimal two times to the right

That makes it 900 meters

help me please (show work)

Answers

Answer: A, B, C, and D have the same volumes:  100 units^3

Step-by-step explanation:

The details are attached.  Use the volume formula for the respective shapes.  Bear in mind that B is he area of the base (I assume).  It is the

[tex]\pi[/tex][tex]r^{2}[/tex] in the formulas that have a round base, and the width x length for bases that are rectangular (or square).

Put these in least to greatest
1/3,-3,3,0

Answers

Answer:

-3 , 0 , 1/3 , 3

Step-by-step explanation:

1/3= 0.3333

-3,0,1/3,3 hope this helps

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

19

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

12<=x-7.  add 7 to both sides.

x>=19

Find the slope of the line that passes through the point (-3,20), (12,15)

Answers

So the formula to use is (y2-y1)/(x2-x1) so that would be (15-20)/(12-(-3) then that become -5/15 and then the answer would be -1/3 hope this helps

If the Diameter is 10 of a circle then what is the radius.

Answers

Answer:

5

Reasoning

[tex]Diameter=2*radius[/tex]

Answer:

5

Step-by-step explanation:

the radius is always half of the diameter

The product of six minus a number and five equals 60÷2 which equation relates the sentence

Answers

Answer:

Step-by-step explanation:

Find m<1 and m<2
Help

Answers

Answer:

m<1 = 45

m<2 = 135

Step-by-step explanation:

135 is across from the 135 making m1 135 and 135 plus 45 equals 180, 180 is the total for the line the other 2 angles are on.

solve the Simultaneous equations : x+y=5; x-y=1​

Answers

Answer:

x=3 and y=2

Step-by-step explanation:

These equations line up quite nicely, so let's use the elimination method.

x+y=5

+ x-y=1

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

2x=6.

Now that we added the two equations together, we only have x as a variable to solve. We now divide 2 from both sides

x=3.

Now we take our 3 and substitute it into one of the equations. I want to put it in the first one.

3+y=5.

We subtract 3 from both sides to get y=2.

We end up with the answers x=3 and y=2. If you plug them in to check, they make sense. 3+2=5 and 3-2=1. This answer is proven to be correct.

Have a nice day :)

what is 29,032 to the nearest thousands​

Answers

Answer:

29,000

Step-by-step explanation:

Answer:

30,000 i believe

Step-by-step explanation:

if that isnt the right answer then its just 29,000

Someone help me with this questions pleaseee

Answers

Answer:

i think its b, 4cm

Step-by-step explanation:

Please help!! will mark branliest
6.7 problem 13
A rubber ball is dropped onto a hard surface from a height of 8 feet, and it bounces up and down. At each bounce it rises to 85% of the height from which it fell. (Hint: Read all units carefully!)

(a) Find a formula for h(n), the height in inches reached by the ball on bounce n.
h(n)=

(b) How high will the ball bounce on the 8th bounce?
h=

(c) How many bounces before the ball rises no higher than an inch?

Answers

Answer:

a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet).  You can see where this is going. After n bounces the ball will be at

[tex]h(n) = (85\%)^n 6ft = (\frac{17}{20})^n(6ft\times 12\frac{in}{ft}) = (\frac{17}{20})^n\times72'[/tex]

b. After 8 bounces we can apply the previous formula with n = 8 to get

[tex]h(8)=(\frac{17}{20})^8\times 72' = 19.62'[/tex]

c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous [tex]h(n)[/tex]increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:

[tex]1>(\frac{17}{20})^n\times 72[/tex] Let's first isolate the fraction by dividing by 72.

[tex](\frac{17}{20})^n<\frac1{72}[/tex]  Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:

[tex]ln ((\frac{17}{20})^n) < ln \frac 1{72} \rightarrow n\times ln (\frac{17}{20}) < -ln72[/tex]. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:

[tex]-(0.16)n < - 4.27 \rightarrow n>26.31[/tex] Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.

divide. write your answer in simplest terms. 3/4 divided by 1 1/5

Answers

Answer:

1 13/20

Step-by-step explanation:

3/4 divide by 5/11

=3/4 times 11/5

=33/20

Convert

=1 13/20

find the slope of the line that passes through the following points a(4, -14) b(6, 18) ​

Answers

Answer:

Slope=16

Step-by-step explanation:

How to do multiplication large numbers.

Answers

Answer:

The main reason to know the multiplication table is so you can more easily multiply larger numbers. For example, suppose you want to multiply 53 x 7. Start by stacking these numbers on top of another, aligning the ones place. Draw a line underneath, and then multiply 3 by 7. Because 3 x 7 = 21, write down the ones digit (1) and carry the tens digit (2) to the tens column:

Next, multiply 5 by 7. This time, 5 x 7 = 35. But you also need to add the 2 that you carried over, which makes the result 37. Because 5 and 7 are the last numbers to multiply, you don’t have to carry, so write down the 37 — you find that 53 x 7 = 371:

When multiplying larger numbers, the idea is similar. For example, suppose you want to multiply 53 by 47. Be sure to align the stacked numbers by the ones place. (The first few steps — multiplying by the 7 in 47 — are the same, so pick up the next step.) Now you’re ready to multiply by the 4 in 47. But remember that this 4 is in the tens column, so it really means 40. So to begin, put a 0 directly under the 1 in 371:

This 0 acts as a placeholder so that this row is aligned properly.

When multiplying by larger numbers with two digits or more, use one placeholding zero when multiplying by the tens digit, two placeholding zeros when multiplying by the hundreds digit

Which of the following represents the set of possible rational roots for the
polynomial shown below?
2x3 + 5x2 – 8x – 20 = 0

Answers

Answer: Choice D

The plus/minus of the following: 1/2, 1, 2, 5/2, 4, 5, 10, 20

========================================================

Explanation:

Refer to the rational root theorem. To find the possible rational roots, we divide the factors of the last term 20 over the factors of the first coefficient 2.

Factors of 20 are: 1,2,4,5,10,20Factors of 2 are: 1,2

Dividing those said factors leads us to the list in choice D. We include the positive and negative versions of each result. For example, divide 10 over 2 to get 10/2 = 5 as one possible root (which leads to -5 as well).

A table like the one shown below might be handy to keep track of all the terms.

Answer:

D

Step-by-step explanation:

Simplify the given equation by dividing all terms by 2:

x³ + 2.5x² - 4x - 10 = 0x²(x + 2.5) - 4(x + 2.5) = 0(x + 2.5)(x² - 4) = 0(x + 2.5)(x + 2)(x -2) = 0

Roots are:

- 2.5, -2, 2

Correct choice is D

2. Draw 3 different polygons that have only 2 lines of symmetry

Answers

Answer:

Hello. The answer is : rectangle, rhombus

I cant think of a third one as yet.

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