john had thrice as many stickers as Ken. After Ken had given away 12 stickers to his brother, John had 5 times as many stickers as Ken. How many stickers did John and Ken have in the end?

Answers

Answer 1

The number of stickers John and Ken have in the end is 6 and 18 respectively.

How to write and solve equation?

let

Ken stickers = xJohn stickers =3x

New stickers

Ken = x - 12John = 5x

x + x - 12 = 3x + 5x

2x - 12 = 8x

-12 = 8x - 6x

-12 = -2x

x = 12/2

x = 6

So,

Ken stickers = x

= 6 stickers

John stickers = 3x

= 3 × 6

= 12 stickers

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Related Questions

The cheeseburger in Alan's kid's meal has 300 calories. His fries have 101 and his drink has 150. How many tota calories
are in his meal?

Answers

his meal has a total of 551 calories.

300+150 = 450

450 + 101 = 551

Answer:

551 calories

Step-by-step explanation:

Given the number of calories in each part of his food you can add:
300 + 101 +150
to equal the total amount of calories in his food, which would be:
551 calories
In conclusion, there would be a total of 551 calories if Alan's kid's meal.


Have a great rest of your day
#TheWizzer

Each of 7 students reported the number of movies they saw in the past year. This is what they reported.
13, 8, 6, 6, 18, 11, 4
Find the median and mean number of movies that the students saw.
If necessary, round your answers to the nearest tenth.
(a) Median:

(b) Mean:

Answers

Answer:

A is 6

B is 9.4

Step-by-step explanation:

First you put the numbers in order. then you take the middle number of the data set. This is how you find the median. For the mean you add all of the number in the data set then divide by how many numbers are there

I do not understand how they got this answer. I am stuck on the exponent party- Please see attached

Answers

Looking at the question, the answer gotten is:$4316.55. The question is related to compound interest.

What is compound interest?

Compound interest is known to be the interest that is earned on a principal sum in addition to the accumulated interest previously. It is as a result of reinvesting interest.

To find the compound interest, the formula used is:

A= P(1+r/n)^nt.

Where

P is the principal sum= $3500

r is the rate = 0.035

n is the compounding period = 12 months.

t is the time = 6 years.

Substituting them in the equation, we have:

A = 3500 ( 1 + 0.035/12)^12×6

Working out the one in the bracket and multiplying the exponent, we have:

A = 3500 (1.00291667)^72

Note: We got 72 by multiplying 12 by 6.

1.00291667 raised to the power of 72 = 1.23330133

A = 3500× 1.23330133 = $4,316.55

Ans: $4,316.55

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what is the value of n in the equation -1/2(2n+4)+6= -9+4(2n+1)

Answers

Answer:

n=1

Step-by-step explanation:

Still stuck? Get 1-on-1 help from an expert tutor now.

Due today pls helpp I will give brainlist

Answers

Answers:

jamal has 30 stickers in total.

chris has 7 stamps in each group.

Step-by-step explanation:

1. use multiplication, 6*5=30

2. use division, 56/8=7

hope this helped! ♡

Answer:

jamal has 30 stickers in total.

chris has 7 stamps in each group.

Step-by-step explanation:

The length of a rectangle is 2ft longer than it’s width. If the perimeter of the rectangle is 32 ft, find it’s area

Answers

Answer:

Area of rectangle is 63 feet²

Step-by-step explanation:

Given:

The length of a rectangle is 2ft longer than it’s width. If the perimeter of the rectangle is 32 ft

To Find:

Area of the rectangle.

Solution:

Let's assume Width of rectangle be x feet and length be 2 +x. to Find the are of the rectangle firstly we need to the length and width of the Rectangle:

Using formula:

Perimeter of rectangle = 2(L + B)

→ 32 = 2(x + 2 + x)

→ 32 = 2(2x + 2)

→ 32 = 4x + 4

→ 32 - 4 = 4x

→ 28 = 4x

→ 28/4 = x

→ 7 = x

Hence,

Length of the rectangle = 2 + x = 9 feetWidth of the rectangle = x = 7 feet.

Now,

→ Area of rectangle = Length × Width

→ Area fo rectangle = 9 × 7

→ Area of rectangle = 63 feet²

Hence, Area of the rectangle is 63 feet²

Answer:

63 sq.ft

Step-by-step explanation:

As it is given that, the length of a rectangle is 2ft longer than it’s width and perimeter of the rectangle is 32 ft.

So, let us assume the width of the rectangle as w ft and therefore the length will (w + 2) ft .

Now,

[tex]{\longrightarrow \qquad{ {{\boldsymbol {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}}[/tex]

[tex]{\longrightarrow \qquad {\rm{2(w + 2 + {w})= 32 \ }}}[/tex]

[tex]{\longrightarrow \qquad {\rm 2({2w + 2= 32 ) }}}[/tex]

[tex]{\longrightarrow \qquad {\rm{4w +4= 32 \ }}}[/tex]

[tex]{\longrightarrow \qquad {\rm{4w = 28\ }}}[/tex]

[tex]{\longrightarrow \qquad {\rm{w = \dfrac{28}{4} }}}[/tex]

[tex]{\longrightarrow \qquad{ \mathfrak{{\pmb{w = 7 }}}}}[/tex]

Therefore width of the rectangle is 7 ft .

Now, We are to find the length of the rectangle:

[tex]{\longrightarrow \qquad{ {{\rm{Length = w + 2 }}}}}[/tex]

[tex]{\longrightarrow \qquad{ {{ \rm{Length = 7 + 2 }}}}}[/tex]

[tex]{\longrightarrow \qquad{ { \frak{ \pmb{Length = 9}}}}}[/tex]

Now, we are to find the area of the rectangle :

[tex]{\longrightarrow \qquad{ {{\boldsymbol{ Area_{(Rectangle)} = Length \times Breadth }}}}}[/tex]

[tex]{\longrightarrow \qquad{ {{ \rm{ Area_{(Rectangle)} = 9 \times 7 }}}}}[/tex]

[tex]{\longrightarrow \qquad{ { \pmb{\boldsymbol{ Area_{(Rectangle)} = 63 }}}}}[/tex]

Therefore,

The area of the rectangle is 63 ft².

Find the solution to the system of equation by using either graphing or substitution
y=4x and y + x=5

Answers

Answer:

x=1, y=4

Step-by-step explanation:

sub y=4x into second equation

4x + x=5

5x=5

x=1

now sub x=1 into the first equation

y = 4 x 1

y=4

Find a degree 3 polynomial whose coefficient of x^3 equal to 1. The zeros of this polynomial are -5, -4i, and 4i. Simplify your answer so that it has only real numbers as coefficients.

I got an answer by solving (x^3+5x^2-16x-80) but it says thats incorrect.​

Answers

Answer:

x^3+5x^2+16x+80

Step-by-step explanation:

You know that you can write your polynom this way : (x-r1)(x-r2)(x-r3) with r1,r2 and r3 the roots so you get :

(x+5)(x+4i)(x-4i)

Simplify (x+4i)(x-4i) with the formula (a-b)(a+b)=a²-b²

so you have (x^2+16)=(x+4i)(x-4i)

Your polynom looks like this :

(x^2+16)(x+5) just expand it

and you get x^3+5x^2+16x+80

Find the value of x. Write answer in simplest form.

Answers

Answer:

x=8

Step-by-step explanation:

x²+x²=(8 root2)²

2x²=128

÷2 on both sides

=x²=64

square root each side

so x=8

Apply Pythagorean theorem

P²+B²=H²x²+x²=(8√2)²2x²=(8√2)²2x²=128x²=128/2x²=64x=√64x=8

I need help quick please

Answers

A=90
B=53
The reason I am saying this is because you can see the 90 degree angle in A

Angle A = 137

Angle B = 93

what is a quadrialateral?

A quadrilateral is four sided polygon. squares and rectangles are more common examples of a quadrilateral. Each quadrilateral has it's unique features however generally the sum of angles of a quadrilteral is 360

Introducing angle C such that

A + C = 180 (angle on a straight line)

C + 47 + 90 = 180 (sum of angles of a trianlge)

C = 180 - 90 - 47

C = 43

hence

A + 43 = 180

A = 180 - 43

A = 137                  

A + B + 90 + 40 = 360 (sum of angles of a quadrilateral )

37 + B + 90 + 40 = 360

B  = 360 - ( 137 + 90 + 40 )

B = 93

Read more on quadrilaterals here: https://brainly.com/question/16691874

A washer and dryer cost a total of $1280. The cost of the washer is three times the cost of the dryer. Find the cost of each item. Cost of washer: $ Cost of dryer: $

Answers

Answer:

Dryer = 320

Washer = 960

Step-by-step explanation:

Washer + Dryer = 1280

Let,

Dryer = x

Washer = 3x

3x + x = 1280

4x = 1280

x = 320

Washer = 3x = 3(320)=960

960 + 320 = 1280

Thus,

Dryer = 320

Washer = 960

~lenvy~

how many three-letter "words" can Bob make using just these letters?

Answers

Answer:

two

Step-by-step explanation:

the two "words" Bob can make using the three letters t, o, and a are;

oat and tao

hope this helps

What is the measure of Zx?
Angles are not necessarily drawn to scale.

Answers

Answer:

17°

Step-by-step explanation:

First, see what's the angle of "AOC"

Here, it's 90° (since it shows the Box at the bottom of the angle instead of a semicircle.

Now, lets subtract 90 by 73

that will be 17

so hence, the value of X is 17°

--------------------------------------௹﷼---------------------------------------------------------------

If you see someone without a simle, give them one of yours!

Thanks!

Have a great day!

:D

A group of friends go out for a meal and the meal costs £148.
They are given a discount of 25% because of a mix-up on their orders.
How much discount did the group of friends receive?
£

Answers

148 x 0.25= 37

you would multiply by the percent off they get.

The side of the clip on a clip board appears to be a right triangle. The
leg lengths are 2 millimeters and 2.1 millimeters and the hypotenuse
is 2.9 millimeters. Is the side of the clip a right triangle?

Answers

Answer:

Yes, it is a right triangle.

Step-by-step explanation:

Answer:

Yes, this is a right triangle.

Step-by-step explanation:

For this, you would use the Pythagorean theorem a^2 + b^2=c^2

Here we have 2^2+2.1^2=2.9^2

So we must check to see if that checks out.  What we find is that both sides are equal to 8.41 which means we have a right triangle.

help me please mark U as BRAINLIEST​

Answers

Hope this helps. Good luck

250 gram as a percentage of 1 kg ​

Answers

Hey there!

Answer: 25%

[tex] \rightarrow \: (\sf{ \frac{250}{1000} ) \times 100}[/tex]

[tex] \rightarrow \: ( \sf{0.25) \times 100}[/tex]

[tex] \rightarrow \: \sf{ = 25\%}[/tex]

Answer:

25%

Step-by-step explanation:

the quantities must have the same units

1 Kg = 1000 grams

express the quantities as a fraction and multiply by 100%

[tex]\frac{250}{1000}[/tex] × 100% = 0.25 × 100% = 25%

Sancho paints the new sign for his bike shop. One quart of paint covers 200 square feet, and Sancho plans on applying three coats of paint. One quart of paint cost $8.97. What is the square footage of his sign and ow much must Sancho spend to paint the sign?
I will give crown thingy

Answers

60 Bc how much square footage

Find the mass of an object that has a weight of 910kg

Answers

Answer:

91kg

Step-by-step explanation:

weight= mass × gravitational force

910kg = m× 10ms^-2

m= 910÷ 10

m= 91

Assume you have two six-sided dice - both numbered 1 to 6 - and add the total of the dice after each roll. Leave all answers as a fraction a/b. What is the probability of rolling a 4

Answers

The probability of rolling two dice and getting a four is 3/36.

How many square meters are there in a floor that is 9 meters long by 12 meters wide?

99
108
109
117

Answers

Answer:

108

9×12

Step-by-step explanation:

please mark me as brainlest

what is
A two-column proof

Answers

Answer:

A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column.

Help me please For your points! Thanks​

Answers

Answer:

Step-by-step explanation:

you will read the directions 2x before solving the problem then solve the problem

Determine the measure of the interior angle at vertex C.

Answers

Answer:

B. 120 Degrees

Step-by-step explanation:

We know that the total interior angle of any five sided polygon is 540 Degrees.

The total interior angle of this polygon is

4x + 4x + 4x + 3x + 3x = 18x 540 = 18x

Divide by the lowest ratio 540/18 = 30

30 = x

C = 4x

4X30 = 120

C = 120 Degrees

express the confidence interval 0.255 plus or minus 0.045

Answers

Answer:

0.255+45=0.300

or

0.255 - 0.045 = 0.210

Solve the quadratic equation by using either a numeric or a graphic approach. x squared + 2 x minus 3 = 0 a. x = -1.1 or x = -2 c. x = 2 or x = -5 b. x = 2.3 or x = -0.82 d. x = 1 or x = -3

Answers

[tex]x^2+2x-3=0\\\\\implies x^2 +3x -x -3 =0\\\\\implies x(x+3) -(x+3)=0\\\\\implies (x-1)(x+3)=0\\\\\implies x =1 ~ \text{or}~ x = -3[/tex]

Find the volume. Use 3.14 for π where necessary. Round the answer to two decimal places.

Answers

Answer:

25.12 feet cubed ~ 25ft^3

Step-by-step explanation:

You're doing a volume for a cone.

Volume of cone formula: 1/3 π r^2 h

You have given me the diameter of 4ft

Height of 6ft.

In order to solve this, you need to divide 4ft by 2ft because we need the radius rather than the diameter.

**The radius is half of the diameter.**

Our new radius is 2ft.

Formula: 1/3π2^2(6)

Now do the exponent first, 2 to the second power or 2 squared is 4.

You need to pull out your calculator.

Steps to calculate the volume:

Do 1 divided by 3 first

Then multiply that by 3.14

Multiply 4

Finally multiply 6

Your Volume for the cone is 25.12 feet cubed

Problem 1: Verify whether these two functions are inverses: (x + 5) f(x) = (2x + 1) and g(x) = (5 - x) (2x - 1) What is g(x))? Use your keyboard and the keypad to enter your answer. Then click Done

Answers

g(f(x)) = x

What is inverse function?

An inverse function is defined as a function, which can reverse into another function.

[tex]f(x)= \frac{(x + 5)}{(2x + 1)}[/tex]

[tex]g(x)= \frac{(5 - x)}{(2x - 1)}[/tex]

 [tex]g(f(x))=g( \frac{(x+5)}{(2x +1)})[/tex]

Substitute the value of f(x),

[tex]g(f(x))= \frac{(5 - \frac{(x + 5)}{(2x + 1)})}{(2 \frac{(x + 5)}{(2x + 1)} - 1)}[/tex]

[tex]g(f(x))= \frac{\frac{10x+5-x-5}{2x+1} }{ \frac{2x+10-2x-1}{2x+1}}[/tex]

[tex]g(f(x)) = \frac{9x}{9}[/tex]

g(f(x)) = x

Hence, g(f(x)) = x

Learn more about inverse function

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Susan has a collection of 44 nickels and dimes. If the number of nickels is three times the number of​ dimes, how many nickels and how many dimes does she​ have?

Answers

Answer:

33 nickels and 11 dimes

Step-by-step explanation:

11*3= 33

11 + 33 = 44

Use the following table to find the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in
on-campus housing. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Students on the Student Government Board
Classification
On-Campus Housing Off-Campus Housing
Freshman
1
4
Sophomore
2
0
Junior
1
2
Senior
2
0
Graduate Student
2
3
Prey
Next
Copy Data
Answer How to enter your answer opens in new window) 2 Points
Keypad
Keyboard Shortcuts
56°F

Answers

Using it's concept, it is found that there is a [tex]\frac{11}{17}[/tex] probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, a total of 1 + 4 + 2 + 0 + 1 + 2 + 2 + 0 + 2 + 3 = 17 students were sampled.

Of those, 1 + 2 + 1 + 2 + 2 = 8 live in on campus housing, and 3 live off campus but are graduate students, hence there are 11 desired outcomes and the probability is given by:

[tex]\frac{11}{17}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

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