John took all his money from his savings account. He spent $108 on a radio and 5/9 of what was left on presents for his friends. Of the money remaining, John put 5/6 into a checking account and the last remaining $80 was left to charity. How much money did John originally have in his savings account? ​

Answers

Answer 1

Answer:

I believe its 313$

Step-by-step explanation:

Answer 2

John originally have $1,118 in his savings​ account.

Here,

We have to find the original savings account of John.

What is Number system?

A system of writing to express numbers is called Number system.

Now,

Let us assume amount of money John originally have in his savings​ account = $x

Money spent on a radio = $108

Remaining money = x - 108

Money spent on presents for his friends = Two third of remaining money                                  = 5/9 (x - 108).

(Because 1 - 5/9  = 1/1 - 5/9  = 4/9)

Remaining money = 4/9 (x - 108).

Five sixth of his remaining money into a checking account = 5/6 * 4/9(x - 108)

( because 1 - 5/6 = 1/1 -5/6 = 1/6)

Remaining money = 1/6 *4/9 (x - 108).

Final remaining money =  1/6 *4/9 (x - 108)

And that is equal to the money donated to charity.

We can setup an equation now.

1/6 *4/9 (x - 108) = 80

4(x - 108) = 80 * 9 *6

x - 108 = 20 * 54

x = 1080 + 108

x = 1,188

Therefore, John originally have $1,118 in his savings​ account.

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Related Questions

Ray feeds his dog 0.12 kilogram of dry dog food each day. How many kilograms of dry dog food does Ray need to feed his dog for the month of March? (March has 31 days.)​

Answers

Answer:

amount of food feed each day is 0.12 kg

amount of food required to feed in March( 31 days) is 0.12*31

the answer is 3.72kg

0.21x31
=6.51kg
Ray need to feed his dog 6.51kg for the month of March.

What percentage of the shape is green?

Answers

Answer:

86 %

Step-by-step explanation:

Total no. of squares = 50

No. of green squares = 43

Percentage of green squares = (43/50) x 100%

Percentage = 86%

If x=2 and y=5 Evaluate this expression: 6x +5 y

Answers

Answer:

12 + 25 = 37

Step-by-step explanation:

If we have the value for each of the variables, we can plug them in, and be done with it.

when we plug them in, we get

6(2) + 5(5)

12 + 25

37

find the area enclosed by the figure. Use 3.14 for π. (The figure is not to scale).

Answers

Answer:

97.27 yd²

Step-by-step explanation:

First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.

6x5=30

30/2=15

Area of triangle=15 yd²

Find area of the middle rectangle. So multiply the length by the width.

9x6=54

Area of rectangle=54 yd²

Find area of the half circle. Formula for area of circle is [tex]A=\pi r^{2}[/tex]. Pi is about 3.14, and radius ([tex]r[/tex]) is 3. Radius is half of the diameter of circle, and the 6 on the left says the diameter of circle.

[tex]\pi[/tex]x[tex]3^{2}[/tex]≈28.27

Area of circle is about 28.27 yd²

Add up the three areas.

15+54+28.27=97.27

HELP!!!!!!!!!!!!!!!!!!!!!HELP ME PLEASE I WILL GIVE YOU 50 ponts

Answers

Answer:

D

Step-by-step explanation:

-3/8 converted to a decimal is -0.375

The absolute value of -0.5 is 0.5

hence, 0.5 is larger than -0.375

so the answer is d

hope this helps and is right :)

Answer:

Please look at the image.

Step-by-step explanation:

Work out
25
% of
401.16
m

Answers

25 hope this helps !

Answer:

100.29m

Step-by-step explanation:

which expression would be easier to simplify if you used the commutative property to change the order of the numbers
A. (-40) + (-30) + 28
B. -3/5 + (-2/5) - 4
C. 40 + (-58) + 160
D/ 130 + 70 + (-37)

Answers

Step-by-step explanation:

OPTION A

(-40) + (-30) + 28

Professor Adeyemi is examining well-being after retirement in a city, and it is important to have excellent external validity. Professor Adeyemi selects two random numbers, 4 and 6, and gets a list of all of the retired people in the city. If Professor Adeyemi obtains the sample by starting with the 4th person on the list and selecting every 6th person, which of the following sampling techniques is most likely being used?

a. systematic sampling
b. stratified random sampling
c. quota sampling
d. cluster sampling

Answers

Answer:

A: systematic sampling

Step-by-step explanation:

The correct answer is systematic Sampling.

This is because, Systematic sampling is a method of sampling whereby the researchers choose members of a population at regular intervals e.g., when we select every 10th person on a particular list in the population.

And in this question, the professor starts with the 4th person on the list and selecting every 6th person. Thus, the answer is systematic Sampling.

If Houston is six hours behind London, what time would it be in Houston if it were 9 p.m. in London?

Answers

Answer:

3 p.m

Step-Hope this helps!!

Answer:

pretty sure 3pm

Step-by-step explanation:

You just subtract 9-6

So its 3pm :)

Anyone know how to do the chart

Answers

Answer:

Step-by-step explanation:

divide 12 or 15

which is typically true regarding loan repayments A. The higher interest rate you receive the lower the total repayment. B. The quicker you pay off the loan to lower the total repayment. C. The quicker you pay off the loan the higher the total repayment. D. The time you take to pay off the loan does not affect the total amount of repayment.

Answers

Answer:

B  

the quicker you pay off the loan, the lower the total repayment.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Yes bbbbbbbbbbbbbBBbbBbBB

Please help!!! Evaluate sin(x)
A. 2.125
B. 0.4706
C.0.8824
D.0.5333

Answers

Answer:

sin x = 0.4706

Step-by-step explanation:

Given that,

Height, h = 8

Base, b = 15

Let H be the hypotenuse of the triangle. Using Pythagoras theorem,

[tex]H=\sqrt{8^2+15^2} \\\\H=17[/tex]

We know that,

[tex]\sin\theta=\dfrac{h}{H}[/tex]

So,

[tex]\sinx=\dfrac{8}{17}\\\\\sin x=0.4706[/tex]

So, the correct option is (b).

The amount of a radioactive isotope decays in half every year. The amount of the isotope can be modeled by f(x) = 346(one half)x and f(1) = 173. What does the 173 represent?

Answers

9514 1404 393

Answer:

  f(1) = 173 = the amount remaining after 1 year

Step-by-step explanation:

The function definition tells you f(x) is the amount of the isotope remaining after x years. Then ...

  f(1) = 173 = the amount remaining after 1 year

__

(no units are given, so we don't know if that is 173 nanograms, or 173 truck loads)

Solve the simultaneous equations
4x+3y=11
2x-y=-2

Answers

Answer:

[tex]x = \frac{1}{2} [/tex]

[tex]y = 3[/tex]

Step-by-step explanation:

Multiply the bottom equation by -2.

[tex] - 2( - 2x - y = - 2) = - 4x + 2y = 4[/tex]

Add the new equation to top equation.

[tex]5y = 15[/tex]

[tex]y = 3[/tex]

Know plug 3 in one of the equations to find x.

[tex]4x + 3(3) = 11[/tex]

[tex]4x = 2[/tex]

[tex]x = \frac{1}{2} [/tex]

Answer:

( [tex]\frac{1}{2}[/tex], 3 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 11 → (1)

2x - y = - 2 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the y- term

6x - 3y = - 6 → (3)

Add (1) and (3) term by term to eliminate y

10x + 0 = 5

10x = 5 ( divide both sides by 10 )

x = [tex]\frac{1}{2}[/tex]

Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for y

Substituting into (1)

4 ([tex]\frac{1}{2}[/tex] ) + 3y = 11

2 + 3y = 11 ( subtract 2 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is ( [tex]\frac{1}{2}[/tex], 3 )

How do I solve for d(real answers only please)

Answers

9514 1404 393

Answer:

  multiply by (d/cos(36°))

Step-by-step explanation:

As with any division problem, the equation remains true if you swap the divisor and the quotient (short answer).

  cos(36°) = 16/d

  d = 16/cos(36°) = 16/0.8090169943749475 ≈ 19.77708763999635

  d ≈ 19.78

__

Here is the longer answer, with respects to the properties of equality. The multiplication and division properties of equality tell you equality only holds if the same operation is performed to both sides of the equal sign. So, when we say "multiply by __", we mean that operation to be performed on boths sides of the equation.

  [tex]\cos{(36^{\circ})}=\dfrac{16}{d}\qquad\text{given}\\\\d\cdot\cos{(36^\circ)}=\dfrac{d\cdot 16}{d}=16\qquad\text{multiply by $d$}\\\\\dfrac{d\cdot\cos{(36^\circ)}}{\cos{(36^\circ)}}=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{divide by $\cos{(36^\circ)}$}\\\\d=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{simplify}[/tex]

__

The two operations, multiply by d and divide by cos(36°) can be combined into one: multiply by d/cos(36°). Once you realize this has the effect of the quotient (cos(36°)) and the divisor (d) trading places, you realize you don't need to take 3 steps to do what you can do in 1 step.

_____

Comment on numerical precision

We have kept the 16-digit precision of the numbers shown in the question, "just because." The final answer has 4 significant digits, so there is no real need to keep more than about 6 significant digits.

In the figure below, what is the value of xº?

A. 430
B. 620
C. 180°
D. 75°

Answers

Answer:

b is the answer

Step-by-step explanation:

a triangle equals up to 180 degrees and 75+43+62 equals 180

The ratio of the diameters of two similar cylinders is 4/5 What is the ratio of their surface areas? of their volumes?

Answers

Answer:

yo

Step-by-step explanation:

jy

A basketball league assigns 8 players to each team. How many players can sign up for the league if there are 24 teams?

Answers

Answer:

192

Step-by-step explanation:

If there are 8 players on a team, and a total of 24 teams, you will need to multiply 8 x 24 to find the answer.

8 x 24 = 192 players can sign up for the league.

(hope this helps can i plz have brainlist :D hehe)

Answer:

192 players

Step-by-step explanation:

8x24=192

8 is the 8 players per team, since there are 24 teams available, multiply 8 by 24.

1. What type of sequence is this? *
3.5, 10.5,31.5, 94.5, 283.5, ---
Arthímetic
Geornetric
Neither

Answers

Answer:

Arthimatic is the answer

Which Angle measurements create a Triangle?

A 60,60,61
B 100,50,50
C 90,45,45
D 90,90,80

Answers

I think the answer is C

Which BEST describes the construction of a triangle if given the segment lengths of 10cm, 5 cm, and 4 cm? Unique Triangle, cannot be determined, triangle not possible, more than one triangle

Answers

Answer:

Step-by-step explanation:

a, b, c

a + b > c ; b + c > a ; a + c > b

5 + 4 < 10 ⇒ triangle not possible

Answer:

Triangle not possible.

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of two sides must be larger than the third side.

5 + 4 = 9

9 cm is not longer than 10 cm.

10 > 9

Therefore, the triangle is not possible..

HELP ME PLZ

Which of the following situations could be solved by using the inequality 1 point shown below? * 9 + 1.25x > 14 +0.75x F. Park A charges an entrance fee of $9 plus $1.25 per ride. Park B charges $14 per ride and an entrance fee of $0.75. After how many rides will the total charge at Park A cost more than Park B? G. Danny finishes 1.25 homework problems every 9 minutes. Katie finishes 0.75 homework problems every 14 minutes. After how many minutes will Danny have completed more of his homework than Katie? H. Jake has $9 and spends $1.25 each day. Finn has $14 and spends $0.75 each day. After how many days will Jake have more money than Finn? J. Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia?​

Answers

Answer: Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia

Step-by-step explanation:

you roll one die and a spinner as shown below. what is the probability you roll and spin a 4?

Answers

Answer:

1/4

Step-by-step explanation:

Do. -1° of Z is
A (1, -1)
B (-1, 1)
C (-3/2, 1)

Answers

The answer is A I think

Plss help this is timed!!

Answers

Answer:

8/35

Step-by-step explanation:

Answer:

8 7/20

Step-by-step explanation:

I'm not quite sure but I hope it will help you if I'm wrong tell me I'll try it again good day don't forget to tell me if I'm wrong.

How much paper is needed to cover a rectangular bulletin board that is 29 in. wide and 37 in.
high?
A. 132 in2
B. 536.5 in?
C. 957 in?
D. 1,073 in?

Answers

Answer: The answer is D

The amount of paper needed to cover the rectangular bulletin board is 1,073 square inches. The correct answer is: D. 1,073 in²

To calculate the amount of paper needed to cover a rectangular bulletin board, we need to find the area of the board.

Given:

Width of the bulletin board = 29 inches

Height of the bulletin board = 37 inches

To find the area, we multiply the width by the height:

Area = Width * Height

Area = 29 inches * 37 inches

Area = 1,073 square inches

Therefore, the amount of paper needed to cover the rectangular bulletin board is 1,073 square inches.

The correct answer is:

D. 1,073 in²

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(Photo is part one)Malik also adds the following ingredients. How many cups of each
did he add? Show each step of your solution.
• 28 tablespoons of sugar
• 6 tablespoons of cocoa powder

Answers

Answer:

Step-by-step explanation:

what are we looking for?/

Choosing Solutions plz help me no links

Answers

Answer:

b, c, d, e

Step-by-step explanation:

b c d are correct options

Peter buried a treasure chest on a remote island and is.making a map so he can find it later. One of the key landmarks in the area is a small rectangle hut, 5m by 8m

Answers

Where’s the rest of the question?

2x + 2y - x - (8 + 1)?

Answers

Answer:

x + 2 y − 9

Step-by-step explanation:

Answer:

x+2y-9

Step-by-step explanation:

[tex]2x+2y-x-(8+1)\\ 2x-x+2y-9\\ x+2y-9[/tex]

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