1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. 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. Answer:

Answers

Answer 1
a)
Kim's age=k
Sister's age=s
k=2s
k+s=36
b)
k=2s
k+s=36
k=36-s
2s=36-s
3s=36
s=12
12*2=24
Kim is 24 and her sister is 12

Hope this helps :)

Answer 2
Well if I did the right calculations... Kim is 24. The sister is age twelve! Hope I helped.

A. K+S=36

B. Well Simple Addition and Subtraction solves this easily. If you Add 12+12 it equals 24. It still needs to be larger so that Kim is twice as old as her little sister. So you Add another 12 which gives you 36. Or you can easily subtract 12 from it and that will also bring you to 24. 


Related Questions

I need to draw a picture to show 26 divided by3

Answers

Well...26 doesn't really go into 3 evenly. 26 divided by 3 is 8.66666666667. So therefore , you have to round it. It'll be 8.7 You could Have three squares or whatever shape. than .7 of a shape. 
Here first draw a rectangle now put 26 inside and 3 beside it. Now divide it you answer ( if you are in forth grade is 8R2

Rich deposited money into a bank account that earned 2.5% simple interest each year. After 2 years, he had earned $14.65 in interest on the account. If no other money was deposited into or withdrawn from the account, how much was his initial deposit?

Answers

we know that


The simple interest formula is equal to


[tex]I=Prt[/tex]


where


P is the Principal amount of money to be invested


I is the amount of money in interest

r is the rate of interest  

t is Number of Time Periods


in this problem we have


[tex]t=2\ years\\ I=\$14.65\\r=0.025[/tex]


substitute in the formula above  and solve for P

[tex]14.65=P(0.025)(2)[/tex]

[tex]P=14.65/[(0.025)(2)][/tex]

[tex]P=\$293[/tex]


therefore

the answer is

[tex]\$293[/tex]




The area of a rectangle is 384 square feet and the width is 24 feet. Find the length

Answers

384 divided by 24 is 16.

The length is 16 feet
you divide to find the answer 384 ÷ 24=16

Shawn bought fruit last week, consisting of 2.26 pounds of bananas, 1.5 pounds of grapes, and a watermelon that weighed 6.78 pounds. What is the total weight, in pounds, of the fruit that Shawn bought last week?

Answers

2.26 + 1.5+ 6.78= 10.54 lb.

Total weight, in pounds Shawn bought is 10.54 pounds

Given that;

Amount of banana bought by Shawn = 2.26 pound

Amount of grapes bought by Shawn = 1.5 pound

Amount of watermelon bought by Shawn = 6.78 pound

Find:

Total weight, in pounds Shawn bought

Computation:

Total weight, in pounds Shawn bought = Weight of banana + Weight of grapes + Weight of watermelon

Total weight, in pounds Shawn bought = 2.26 + 1.5 + 6.78

Total weight, in pounds Shawn bought = 10.54 pounds

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An “A” train leaves a subway station every 12 minutes. An “E” train leaves every 9 minutes. If both trains just left the station on parallel tracks, when will both leave the station together again?

A. in 108 minutes

B. in 36 minutes

C. in 72 minutes

D. in 24 minutes

Answers

B. In 36 minutes because 12×3=36 and 9×4=36 and this is the first number they share.

The A train and the E train will both leave the station together again in 36 minutes. Hence the correct option is B.

To find out when both the A train and the E train will leave the station together again, we need to calculate the Least Common Multiple (LCM) of their departure intervals, which are 12 minutes for the A train and 9 minutes for the E train. To find the LCM, we list multiples of each:

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108...

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108...

We can see that the common multiples of 9 and 12 are 36, 72, and 108. The smallest of these is 36 minutes, so that is the first time they will both leave the station together after initially departing at the same time.

Therefore, the correct answer is B. in 36 minutes.

A particular amusement park ride will make 156 revolution in 180 seconds. At this rate, how many revolutions will it make in 2 minutes?

Answers

106 per minute or 60 seconds

5000 - 50x = 4800 - 30x

Answers

5000 - 50x = 4800 - 30x
          +50x              +50x
----------------------------------------
5000 = 4800 + 20x
-4800   -4800
----------------------------
200 = 20x
Divide both sides by 20
x = 10

John says that if one side of an inequality is 0, you don't have to reverse the inequality symbol when you multiply or divide both sides by a negative number. Find an inequality that you can use to disprove John's statement. Explain your thinking.

Answers

x >0
so x <0 if and only if x is -x
therefore u had to reverse the sign when multiplying by -1
mic drop
brainliest?

Solve for n.

25n−3=5n+8
the n-3 and n+8 are powers

Answers

Final answer:

The equation 25n⁻³ = 5n⁺⁸ suggests an incorrect use of exponents, as no solution exists if we assume the bases should be the same. However, if the bases are 25 and 5, after simplifying, we find that the solution is n = 14.

Explanation:

To solve the equation 25n⁻³ = 5n⁺⁸, we need to use properties of exponents and logarithms. Here are the steps:

Assuming the bases are the same and only the exponents are different, equate the exponents: n - 3 = n + 8.This implies that no solution exists because once the bases are the same, the exponents on both sides must be equal for the equation to hold true, but here they are not.

Alternatively, if 25 and 5 are the bases, we can rewrite the equation as (52)n-3 = 5n+8, then applying properties of exponents gives us 52n-6 = 5n+8. Equating the exponents yields 2n - 6 = n + 8, which we can solve for n.

Subtract n from both sides: n - 6 = 8.Add 6 to both sides to isolate n: n = 14.

Fin each unit rate. Determine which is lower.
Ingredient C: 1/4 cup for 2/3 serving
Ingredient D: 1/3 cup for 3/4 serving

Answers

(1/4) / (2/3) = 
1/4 * 3/2 =
3/8 (or 0.375) cups per serving

(1/3) / (3/4) = 
1/3 * 4/3 =
4/9 (or 0.444) cups per serving

the lower one is : 1/4 cup for 2/3 serving

The rate of each ingredient is required.

Rate of ingredient C is lower.

The number of cups is [tex]\dfrac{1}{4}[/tex]

The number of servings is [tex]\dfrac{2}{3}[/tex]

The rate for ingredient C is

[tex]\dfrac{\dfrac{1}{4}}{\dfrac{2}{3}}\\ =\dfrac{1}{4}\times \dfrac{3}{2}\\ =\dfrac{3}{8}=0.375\ \text{cups per serving}[/tex]

The number of cups is [tex]\dfrac{1}{3}[/tex]

The number of servings is [tex]\dfrac{3}{4}[/tex]

The rate for ingredient D is

[tex]\dfrac{\dfrac{1}{3}}{\dfrac{3}{4}}\\ =\dfrac{1}{3}\times \dfrac{4}{3}\\ =\dfrac{4}{9}=0.44\ \text{cups per serving}[/tex]

Rate of ingredient C is lower.

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How much longer is 3 meters than 3 yards?

Answers

three yards = 9feet
three meters=9.84 feet
Well, 3 meters is equivalent to 3.279 yd so your answer should be 0.279 yd longer

The city of Jasper has a water tower that holds 1,325,000 gallons of water. Express this number in scientific notation.

A)
1.325 x 10 to the -6th power


B)
1.325 x 10 to the 6th power

C)
13.25 x 10 to the 5th power


D)
132.5 x 10 to the 4th power

Answers

The answer is B) 1.325 x 10^6
1.325 x 10^6. B is the correct option.

What is the highest unit price per kazoo if 25 are $10, 50 are $18.50 and 80 are $27.20

Answers

Answer:

$0.34

Step-by-step explanation:

Examine the graph.

Select EACH interval where the graph is decreasing.

A) -4 < x < -2

B) 2 < x < 3

C) -1 < x < 1

D) 3 < x < 4


Answers

A) -4 < x < -2
B) 2 < x < 3
D) 3 < x < 4

They, all are the answers except C.
Here, we can see the graph is decreasing at that instances. so, that is your answer!

Hope this helps!

According to the graph, the function is decreasing on these following intervals:

A) -4 < x < -2  B) 2 < x < 3D) 3 < x < 4

On a graph:

On intervals in which the function points upwards, it is increasing.On intervals in which the function points downwards, it is decreasing.

In this problem, for options A, B and D, the function points downwards over the entire intervals, hence it is decreasing, and these options are correct.

A similar problem is given at https://brainly.com/question/24294701

the Marriott rivercenter in San Antonio Texas has a main roof height of 441 feet. with the additional height of antennas the structure is 546 feet tall. What is the height of the antennas

Answers

The height of the antennas is 105 feet.

The height of the antennas on the Marriott River center is 105 feet, which is calculated by subtracting the main roof height (441 feet) from the total structure height (546 feet).

To calculate the height of the antennas on the Marriott River center in San Antonio, Texas, we need to subtract the main roof height from the total structure height. The main roof height is reported as 441 feet, while the overall structure height, including antennas, is 546 feet.

Here's the step-by-step calculation:

Write down the total structure height: 546 feet.Write down the main roof height: 441 feet.Subtract the main roof height from the total structure height to get the antenna height: 546 feet - 441 feet = 105 feet.

Thus, the height of the antennas is 105 feet.

a gazelle can jump over a hundred five feet in a single jump how many yards is that

Answers

the answer is 4 yards
You would do 500 ÷ 3 because 3 ft = 1 yard. So, 500 ÷ 3 = 166.6666... Btw, if u have a repeating decimal, just put a line over the first 2 numbers after the decimal. Hoped this helped you!

A new pencil weighs 25 grams. After the pencil has been used for a while, it weighs 2 decagrams. How many grams of the pencil have been used up. plz explain how to solve.

Answers

I hope this helps you
24.8 decagrams have been used,each decagram is 1/10 of a gram so if there's two decagrams left,24.8 grams have been used so far.

Use operations of decimal, fraction, and percent numbers and your models from Part (b) to solve the following application problems. In your final answer, include all of the necessary calculations.

Equation: $157.30 × 10%

3. A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 10% off of their total dinner bill, not including applicable sales tax or their server’s tip. The bill totals $157.30 before tax and tip. What is the new total after the server applies the 10% off coupon?

Answers

157.30*.10=
157.30-15.73=
$141.57
this is still without the tax and tip or assuming there is none because it doesn't say how much they want to tip or weather they are planning to tip at all. It also doesn't say the percent of tax.
Final answer:

To find the new total after a 10% discount on a $157.30 dinner bill, you multiply $157.30 by 0.10 to get the discount amount of $15.73. Then subtract the discount from the original bill to get the new total, which is $141.57.

Explanation:

To calculate the new total after applying a 10% discount to a $157.30 dinner bill, we first need to find the amount of the discount. To do this, we convert the percent to a decimal by dividing by 100. Therefore, 10% as a decimal is 0.10. Next, we multiply this decimal by the total bill amount.

$157.30 × 0.10 = $15.73

This value represents the amount of discount the family will receive. To find the new total, we simply subtract this discount from the original total bill amount.

$157.30 - $15.73 = $141.57

Thus, the new total after applying the 10% discount is $141.57.

Write a problem you can use to make a table strategy to solve then solve the problem

Answers

6 (3×2)-5 here you go

Answer:

A Cadillac travels at 70 mph. A Buick travels at 60 mph. How long does it take to a Cadillac to catch up the Buick that started travelling one hour earlier?

Step-by-step explanation:

A Table strategy needs an understanding of the problem. In addition to this strategy provides a clear vision of the problem.

Let's write it in a row, for the Cadillac. The second one for the Buick.

Plugging in values, here it is a Table like

[tex]\left\{\begin{matrix}Hour/Distance &1&2&3&4&5&6 \\ Cadillac&0&70&140&210&280&350 \\ Buick&60&120&180&240&300&360 \end{matrix}\right.[/tex]

Since the smallest distance between them is given in 6 hours, (10 miles). This is clearly the answer.

Each movement can be described as a function the Cadillac

y=70x

And the Buick: y=60x

And plugging values for x, you can test it alternatively than using table strategy.

What is the pattern for n times 3 plus 1

Answers

Given the way the problem is written in your worksheet (attachment):
___________________
"n x 3 +1 " ; you would write:
__________________________
"nine times three plus 1"  as:
___________________________
(n*3) + 1 ; (Using the order of operations: BE MD AS; which stands for:
                                                                 "Be excused, my dear Aunt Sally";
                                                                    or other variant phrase);
__________________________________________
Using this "order of operations" rules; we know that "multiplication" comes BEFORE "addition"; as such:
_________________
Given: "n * 3 + 1"; we can write: 
________________________
(n*3) + 1 ; with the parentheses as an emphasis that this                                                   "multiplication" component comes first.
___________________________________________
By convention, when a variable has a coefficient other than "1", we usually write the term with the coefficient coming before the variable.
___________________________________________
So, we can rewrite:
__________________
(n*3) + 1  ;  as:
__________________
(3*n) + 1 .
__________________
By convention; if we have a coefficient multiplied by a variable (symbolized with an "alphabet letter"), we simply write that coefficent, followed by the [variable symbolized with an "alphabet letter"]. By convention, the implication is that multiplication is inherent in these circumstances.

So, "(3*n)" can be rewritten as "3n"; 
__________________________________________________
And the term for the "pattern" (which is not an 'equation'); is:
____________________
3n + 1

find the area and perimeter of the shape below. Help plzzz.

Answers

Find the area of each shape and add.Let's start with the first semi-circle(half-circle)
If the area of a circle is πr² , then the area of a semi-circle is 1/2πr² where is 22/7 or 3.14, and r is the radius which is 1.8 meters
A=1/2πr²
A=1/2*22/7*1.8*1.8
A=5.09 m²(rounded to nearest hundredth)
Since the semi-circles are two and have the same radius, multiply the area of the first one by two or go through the same process again.
So 5.09 *2=10.18meters square is the area of the two semi-circles
Now, let's find the area of a rectangle  which is length times width, where length is 6 meters and width is (1.8+1.8, because 1.8 is half the width)=3.6 meters
A=l*w
A=6*3.6
A=21.6meters square
Therefore the area of the shape is 10.18m²+21.6m²=219.888m²

If 3/4 gallon of paint covers 1/3 of the wall, then how much paint is needed for the entire wall?

Answers

3/4=1/3 of all
times 3 both sides
9/4=3/3 of all
9/4=all

need 9/4 gallons or 2 and 1/4 gallons

The paint needed for the entire wall is 9/4 gallons.

Given:

The 3/4 gallons of paint are required to cover 1/3 portion of the wall.

To find:

The paint needed for the entire wall.

Solution:

The volume of the paint required to cover 1/3 portion of wall = 3/4

The volume of paint required to cover the entire wall:

[tex]=\frac{3}{4}\times \frac{3}{1}\\\\=\frac{9}{4} gallon[/tex]

The paint needed for the entire wall is 9/4 gallons.

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how many 1/4 teaspoon doses are in 7/8 teaspoon of medicine

Answers

It is about 3.5 doses

John bought z hamburgers at $3 each and paid with a 20 dollar note. How much change did he get?

Answers

He got 20 - 3z change.
20/3 = z
Now z would equal 6.666... but he can't eat a sixth of a burger and only only pay for that part. He would have to eat 5 (not 7) because he cannot afford 6 burgers with a $20 bill

I do not understand the question. Plz help!

Answers

it shows the years at the bottem and then line it up and you get the answer. so it would probribly be 0.53.

2.5 to the nearest tenth

Answers

3 would be ure answer sir 
2.5 is already to the nearest tenth. 3 is the the nearest whole number.
Here's an example:
2.478382
The 4 is in the tenth spot, so you look at the next unit over, which in this example is the 7.
To round, the key is 4 and below, don't change, 5 and above, round up.
2.478382 would round to 2.5.
Here's another example just so it's clear:
For 3.7913, the 9 would make the 7 round up and the answer would be 3.8.
One unit after the decimal is the tenth place. Two units is the hundredth, three is the thousandth, and so on.
I hope that makes sense. You're good to go on getting 2.5 to the nearest tenth— it's already there.

what time what equal 27

Answers

1 times 27 equals 27

3 times 9 equals 27

9 times 3 equals 27

27 times 1 equals 27
these are some that  can equal 27

Answer:

boi do you know your multiplication tables!?

Step-by-step explanation:

1 times 27

3 times 9

that's it

Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest. If no money was deposited into or withdrawn from the account, what was the annual interest rate? Enter your answer in the box.

Answers

Question: Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest. If no money was deposited into or withdrawn from the account, what was the annual interest rate?                                                                                                                      Solution: I=Prt. First, we have to find the interest / I. In the question is asked: '' he had earned $2975 in interest" so we know that the Interest/ I is $2,975.      $2,975= $17,500/P*r*2/t in years   (Substitute)                                                    $2,975= 35,000r                             (Multiply)                                               $2,975/35,000= $35,000r/$35,000 (Divide each side by $35,000)                          $2,975/$35,000=0.085                                                                                           Covert the decimal 0.085 to a percent. To do so multiply the decimal by 100  0.085*100= 8.5, add the percent sign and you got the answer 8.5%                           Li's annual interest rate is 8.5% (we were finding the rate/r)

Answer:

8.5%✅

Step-by-step explanation:

I took a K12 2.08 Quiz: Simple Interest, so these are confirmed correct answers on my side, it could be different for other platforms.

An account with an initial balance of $5000 earns 5% interest for 3.5 years. What is the ending balance?

Enter your answer in the box

$5875

Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest. No money was deposited into or withdrawn from the account. What was the annual interest rate?

Enter your answer in the box.

8.5%✅

Bonita deposited $1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closing the account. No money was deposited into or withdrawn from the account.

How many years was the money in the account?

Round your answer to the nearest whole year.

Enter your answer in the box.

4 years✅

Jackie deposited $315 into a bank account that earned 1.5% simple interest each year. No money was deposited into or withdrawn from the account. How much money was in the account after ​3​ years?

Round your answer to the nearest cent. Enter your answer in the box.

$329.18✅

Safiya deposited money into a bank account that earned 6.5% simple interest each year. After  312 years, she had earned $36.40 in interest on the account. No other money was deposited into or withdrawn from the account. How much was her initial deposit?

Enter your answer in the box.

$160✅

Have a wonderful day, and hope it helped.

Find the reciprocal of 7\8

Answers

The fraction of the given rational number 7/8 is 8/7.

Use the concept of fraction defined as:

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.

It can be written in the form of p : q, which is equivalent to p / q.

The reciprocal of a fraction is defined as 1/fraction.

The given rational number is :

7/8

The reciprocal of it is written as,

1/(7/8) = 8/7

Hence,

The reciprocal of 7/8 is equal to 8/7.

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The reciprocal of 7/8 is 8/7, which is found by flipping the numerator and denominator of the original fraction.

This question demands basic understanding of fractions and reciprocals along with the related concepts.

To find the reciprocal of a fraction, you simply flip the numerator and denominator. In this case, the reciprocal of 7/8 is 8/7. When we cross multiplying both sides, we are actually finding a value that can prove the two fractions are equivalent.

Multiplication and division come into play when we think of a reciprocal, which is essentially the result of dividing 1 by the number or flipping the fraction.

Knowing the reciprocal concept helps in various areas like simplifying complex fractions or dividing fractions, where you multiply by the reciprocal.

Therefore, as per the above explaination, the correct answer is 8/7.

Julie multiplies 6.27 by 7 and claims the product is 438.9. Explain without multiplying how you know Julie’s answer is not correct. Find the correct answer.

Answers

you can know that it is wrong because by multiplying 6, which is the rounded version of 6.27, by 7 that you will get 42, which is the approximate answer. 438.9 is not even close to thatanswer
it is wrong because 6 x 7 = 42
julies answer is way too far off for it to be correct.
the correct answer is 43.89

hope this helps you
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