a sum of money was divided between two friends, karen and Natasha in the ratio 2:5. If Natasha received $120 more than karen, find the sum of money shared​

Answers

Answer 1

Answer:

$600

Step-by-step explanation:

Let x be the total amount divided

Karen gets (2/7) x

Natasha gets  (5/7) x

(5/7) x  = (2/7) x + 210

Multiply both sides by 7

5x = 2x + 1470

3x = 1470

x = 490

Natasha gets (5/7) (490) = 350

Karen gets (2/7)(490) = 140

The difference in ration is 5 - 3 = 2. So divide 150 by 2 to get the amount for each part of the ratio which is 75. the total ration is 3 + 5 = 8. So to get the total original sum of money, multiply 75 and 8 which is $600. for each person just multiply 75 with their respective ratios. For A: 75 X 3 = $225. For B: 75 x 5= $375. To check that it is correct add 225 and 375, and you should get 600.

according to my calculations, the starting amount will be 600

Answer 2

Answer:

$280

Step-by-step explanation:

Ratio = 2 : 5

Karen's Share = 2x

Natasha's share = 5x

Natasha received $120 more than karen.

5x = 2x + 120

5x - 2x = 120

      3x = 120

        x = 120/3

x = 40

Karen's share = 2*40 = $ 80

Natasha's share = 5*40 = $ 200

Sum of money = 80 +200 = $ 280


Related Questions

can u guys help me i need help on this question

Answers

Answer: 6p=120

Step-by-step explanation:

ANSWER: p = 120/6

Explanation:
P must be isolated because that is what you would solve for.
120 is our total & must be divide by the number of pieces (p’s) that make up 120

Therefore you have p = 120/6

Hope that explains well, I am not a math teacher


i hate geometry if someone could help me i would appreciate it so much

Answers

Answer:

Step-by-step explanation:

150 + 150 + x = 360

x = 60

∠ADC = 60°

they are the same

what are some expressions that are equivalent to 6(m+2+ m)

Answers

Answer:

12m + 12 is one equivalent expression

Step-by-step explanation:

This can be found by distributing the numbers as shown below:

6(m + 2 + m)

6m + 12 + 6m

12m + 12

Awnser:

The awnser would be 8m in total.

You could do 4(m +4 m) or 8(m+0 m) or 3(m +5 m)

Solve the equation.
Start Fraction b over negative 6 End Fraction = –3

Answers

Answer:

Step-by-step explanation:

b/-6=-3

b=18 (x -6 on both sides)

Find the perimeter of a circle with radius 35cm.[Takex=[22/7}]

Answers

Answer:

i have made it in above picture

220 cm

hope it helps

The popularity of the Gutenberg press in Europe made books more accessible and motivated people to want to learn how to write. paint. read. travel.

Answers

Answer:

read.

Step-by-step explanation:

The popularity of the Gutenberg press in Europe made books more accessible and motivated people want to learn how to READ.

This is evident in the fact that Johannes Gutenberg who was widely known as a printer was famous for inventing a means of producing books at a cheaper cost and portable size that is also durable and easy for distribution.

The result of this invention led to an increase in the availability of books and thereby enhance and motivate more people, not just the elites, to have access to books and READ them.

Answer:

Read

Step-by-step explanation:

cause

Please help it‘a due today

Answers

Answer:

u know area of rectangle is length × breadth

therefore, area = (3x+4)×(7x-2)

= 21x²-6x+28x-8

= 21x²+22x-8

= d ans

Use the Change of Base Formula to evaluate the expression. Then convert it to a logarithm in base 8. Round to the nearest thousandth if necessary.

log4 8

0.667; log8 4.003

0.301; log8 1.870

1.5; log8 22.627

0.15; log8 1.366

Answers

Answer

1.5; log8 22.627

Step-by-step explanation:

4x – 5.2y + 6y + 7.9x – 8x *

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{4x - 5.2y + 6y + 7.9x - 8x}[/tex]

[tex]\huge\text{COMBINE your LIKE TERMS}[/tex]

[tex]\large\textsf{(4x + 7.9x - 8x) + (-5.2y + 6y)}[/tex]

[tex]\large\textsf{4x + 7.9x - 8x =}[/tex]

[tex]\large\textsf{4x + 7.9x = 11.9x}[/tex]

[tex]\large\textsf{11.9x - 8x = 3.9x}[/tex]

[tex]\large\textsf{4x + 7.9x - 8x = 3.9x}[/tex]

[tex]\large\textsf{(3.9x) + (-5.2y + 6y)}[/tex]

[tex]\large\textsf{-5.2y + 6y = 0.8y}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf3.9x + 0.8y }}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

3.9x+0.8y

Step-by-step explanation:

4x−5.2y+6y+7.9x−8x

Combine −5.2y and 6y to get 0.8y.

4x+0.8y+7.9x−8x

Combine 4x and 7.9x to get 11.9x.

11.9x+0.8y−8x

Combine 11.9x and −8x to get 3.9x.

3.9x+0.8y

It can also be converted to fraction form:

[tex]\frac{4y}{5}+\frac{39x}{10} = 3.9x+0.8y[/tex]

Pls help and thank you so much

Answers

Answer:

y=4x+3

Step-by-step explanation:

y intercept is 3 and x is 4

the length of AC to the nearest hundredth is ____

Answers

4.5000000 I think this the answer

Answer:

5.41

Step-by-step explanation:

Solve the equation.

3x + 2(4x − 6) = 8x + 1

Please help :) also have a good day :D
What is the value for x?

Please enter fractional values in the form ‘a/b’. For example, an answer of [tex]\frac{1}{3}[/tex] will be entered as 3/4.
x =

Answers

Answer:

3x + 2(4x − 6) = 8x + 1

3x + (8x-12)=8x+1

-12=19x+1

-11=19x

-11/19     (Im pretty sure i did this right but at the same time im not, im sorry if i got this wrong)

Answer:

=13/3

Step-by-step explanation:

1. Distribute

3+2(4−6)=8+1

3+8−12=8+1

2. Combine like terms

3+8−12=8+1

11−12=8+1

3. Add 12 to both sides of the equation

11−12=8+1

11−12+12=8+1+12

4. Simplify

11=8+13

5. Subtract 8x from both sides of the equation

11=8+13

11−8=8+13−8

6. Simplify

3=13

7. Divide both sides of the equation by the same term

3=13

3x÷3=13÷3

8. Simplify

If you cancel terms that are in both the numerator and denominator you will get:

=13/3

I hope this helps

If 2 inches is about 5 centimeters,
about how many inches is 45
centimeters?

Answers

Answer:

about 18 (17.7)

Step-by-step explanation:

Answer:

About 17 inches

Step-by-step explanation:

for brainiest:):):):):):):)

Answers

I used 3.14 for pi to solve easier.

6. 6.28

7. 21.98

8. 94.2

If a line goes through Point (1,2) and has a slope of 2 then find R if the line also goes through the point (r,8)

Answers

Answer: r = 4

Step-by-step explanation:

See the image.

885 = 5(x + 19)
what is x?

Answers

Answer:

x = 158

Step-by-step explanation:

Given

885 = 5(x + 19) ← divide both sides by 5

177 = x + 19 ( subtract 19 from both sides )

158 = x

Answer: x=158

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Luke wants to send 21 parcels by the Express service.
He does the calculation 20 x £15 = £300 to estimate the cost.
(b)
Explain why Luke's calculation shows the actual cost will be more than £300

Answers

Answer:

Because he has to send one more parcel than the estimation.

Step-by-step explanation:

a concession stand sells bags of popcorn for 3$ and cotton candy for 2$. a customer purchased bags of popcorn as well as cotton candy and spent 12$ . What is the equation that models this situation

Answers

Answer:

x3+y2=12

Step-by-step explanation:

I don't have a step by step explanation, hope this helps!!!

Find the measure of each angle indicated.
23°
128°

Answers

Find the acute angle in the first quadrant used as a reference for

23, 128, 337, 128

a boy has $5 coins and a $10 coins they are eight coins all together and their value is $55 how many of each kind does he have​

Answers

Answer:

3 $10 coins and 5 $5 coins

Step-by-step explanation:

You want to buy a new car. You can afford payments of $300 per month and can borrow the money at an interest rate of 5.2% compounded monthly for 5 years.

Answers

Answer:

$367.17

Step-by-step explanation:

we are find the cost of the car after 5 years

Using the compound interest formula;

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

Given

Principal P = $300

rate r = 5.2% = 0.052

Time t = 5years

Time of compounding n = 1/12 (monthly)

Substitute into the formula

A = 300(1+0.052(12))^5(1/12)

A = 300(1+0.624)^0.4167

A = 300(1.624)^0.4167

A = 300(1.2239)

A = 367.17

hence the amount of the car after 5years is $367.17

what is the m<R???????​

Answers

Answer:

128

Step-by-step explanation:

Hey There!

So the rule about interior angles of a trapezoid

is that the angles that lie on the segments that are not parallel are supplements

so essentially what I'm saying is that angle R and angle U are supplementary angles so to find x we do

180=15x+8+7x-4

step 1 combine like terms

15+7=22

8-4=4

now we have

180=22x+4

step 2 subtract 4 from each side

180-4=176

now we have

176=22x

step 3 divide each side by 22

176/22=8

so x=8

now we plug in 8 to 15x+8

8x15=120

120+8=128

so we can conclude that angle R = 128

20 points!!!!

Find the area of the regular hexagon. Round to the nearest hundredth.
A)
27.71 in 2
B)
83.14 in?
C)
166.26 in?
D)
332.55 in 2

Answers

Answer: b or a

Step-by-step explanation:

help anyone? please?

Answers

Answer:

x=11.2

Step-by-step explanation:

Set up a proportion:

x+11/36 = 37/60

Cross multiply:

1332=60(x+11)

Distribute:

1332=60x+660

Subtract 660 from 1332

672=60x

Divide:

x=11.2

I'm not sure if this is the correct answer but I hope this helps! :)

Correct me if I'm wrong!


If the time now is 4 PM on Saturday, after 253 hours the time will be:
(A) Sun. 5AM
(B)Tues. 5AM
(C) Wed. 1AM
(D) Wed. 5AM

Answers

Answer:

 C I'm pretty sure

Step-by-step explanation:

Help please, I'm stuck on this

Answers

An swer:

d

Step-by- step explana tion:

7 of 10
© Brian invests £990 into his bank account. He receives 2% per year simple interest. How much
will Brian have after 4 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

1071.61

Step-by-step explanation:

That's how much

I WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!!!!

Answers

Answer:

a I don't know I just guess I hope you got it right I hope

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
(ILL GIVE BRAINLY)

Answers

Answer:

um... what are trying to say?

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠H is congruent to ∠B

:::::

GH/DJ = AB/DC

help is this right ? pleasee helppppp ????​

Answers

Answer:

yes you are correct

Step-by-step explanation:

YAY THANK YOU IM NOW AN ACE

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