The sum of ruqiyo’s age and Mohammed’s age is 117. Five times ruqiyo’s age is 9 more than 3 times mohammed’s age. How old is each person

Answers

Answer 1

Answer:

45 and 72

Step-by-step explanation:

Let the ages be r and m

We have:

r + m = 1175r = 9 + 3m

Substitute m in the second equation and solve for r:

m = 117 - r5r = 9 + 3( 117 - r)5r = 9 + 351 - 3r5r + 3r = 3608r = 360r = 360/8r = 45

Then m is

m = 117 - 45 = 72

Related Questions

Cindy, who is self-employed, maintains an office in her home that comprises 16% (260 square feet) of total floor space. Gross income for her business is $44,150, and her residence expenses are as follows: Real property taxes $4,188 Interest on mortgage 6,980 Operating expenses 3,490 Depreciation (based on 16% business use) 3,755 If required, round your final answer to the nearest dollar. a. What is Cindy's office in the home deduction based on the regular method? $ b. What is Cindy's office in the home deduction based on the simplified method? $

Answers

Answer:

$11,100.28

$1300

Step-by-step explanation:

Given that:

Cindy, who is self-employed, maintains an office in her home that comprises 16% (260 square feet) of total floor space. Gross income for her business is $44,150, and her residence expenses are as follows: Real property taxes $4,188 Interest on mortgage 6,980 Operating expenses 3,490 Depreciation (based on 16% business use) 3,755 If required, round your final answer to the nearest dollar. a. What is Cindy's office in the home deduction based on the regular method? $ b. What is Cindy's office in the home deduction based on the simplified method? $

Deduction :

Real property taxes = 16% * $4,188 = $670.08

Interest on mortgage = 16% * 6,980 = $1116.80

Operating expenses = 16% * 3,490 = $558.40

Depreciation (based on 16% business use) = 3,755

Total deduction:

$(670. 08 + 1116.80 + 5558.40 + 3755) = $11,100.28

Simplified deduction :

$5 per square foot of home used for business

Number of square feet = 260

$5 * 260 = $1300

solve for x
3(3x-8)-5(3x-8)=(4x-16)-6(x-2)

Answers

Answer:

the answer should be 5

Step-by-step explanation:

Remove parentheses.

3(3x-8)-5(3x-8)=4x-16-6(x-2)3(3x−8)−5(3x−8)=4x−16−6(x−2)

2 Simplify  3(3x-8)-5(3x-8)3(3x−8)−5(3x−8)  to  -2(3x-8)−2(3x−8).

-2(3x-8)=4x-16-6(x-2)−2(3x−8)=4x−16−6(x−2)

3 Expand.

-6x+16=4x-16-6x+12−6x+16=4x−16−6x+12

4 Simplify  4x-16-6x+124x−16−6x+12  to  -2x-4−2x−4.

-6x+16=-2x-4−6x+16=−2x−4

5 Add 6x6x to both sides.

16=-2x-4+6x16=−2x−4+6x

6 Simplify  -2x-4+6x−2x−4+6x  to  4x-44x−4.

16=4x-416=4x−4

7 Add 44 to both sides.

16+4=4x16+4=4x

8 Simplify  16+416+4  to  2020.

20=4x20=4x

9 Divide both sides by 44.

\frac{20}{4}=x

​4

​20

​​ =x

10 Simplify  \frac{20}{4}

​4

​20

​​   to  55.

5=x5=x

11 Switch sides.

x=5x=5

Find the 4th, 9th, and 16th terms of the sequence A(n) = -15+ (n- 1)(-3).

Answers

Answer:

A4= -24

A9= -39

A16=-60

the volume of the box is ___

Answers

Answer:

[tex]V=80x-36x^2+4x^3[/tex]

Step-by-step explanation:

The volume of a box of dimensions a, b, c is:

V=abc

The box shown in the image has dimensions 8-2x, 10-2x, x, thus its volume is:

[tex]V=(8-2x)(10-2x)(x)[/tex]

Operating the first two brackets:

[tex]V=(80-16x-20x+4x^2)(x)[/tex]

Joining like terms:

[tex]V=(80-36x+4x^2)(x)[/tex]

Multiplying again:

[tex]V=80x-36x^2+4x^3[/tex]

The volume of the box is

[tex]\boxed{V=80x-36x^2+4x^3}[/tex]

On a recent survey, 60% of those surveyed indicated that they preferred walking over running. If 540 people preferred walking, what EQUATION would be used to find how many were surveyed?

Answers

Answer:

.6x=540, x= number surveyed

Step-by-step explanation:

.6×=540

x=number surveyed

60% of number surveyed is 540

multiply where "of" is and "is" is the equal sign

PLZ TELL ME IF THIS IS RIGHT!!! THX

Answers

Answer:

correct

Step-by-step explanation:

x means up and down and it is at -3

y means side to side and it is at -7

Please help I am very confused. I would really appreciate it if someone helped me. Thank you!

Answers

Answer:6

Step-by-step explanation:

You do 6/2 first which is 3 then you subtract 3 from 4 which is 1. Then you multiply 1 by 2 which is 2 and the last step would be multiplying 2 by 3 which is 6

Stephen collected data from travel website. The data included a hotel distance from time square

Answers

And the question is?

Answer:

There is nothing to answer.

Step-by-step explanation:

please i need help quick

Answers

Answer:

2.

a. 13

b. 7

c. 24

d. 85

Step-by-step explanation:

I need help with this please I’m dumb

Answers

Answer:

For number 2 the answer is X=5,-2

and for number 3 the answer is there is no solution

what is 7,021 divided by 7

Answers

Answer:

1003

Step-by-step explanation:

The number 7,021 divided by 7 is 103.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

Dividend =7021

Divisor =7

Now,

7021/7=103

Therefore, by algebra the answer will be 103.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ5

3. The total cost after tax to repair Deborah's computer is represented by , where h represents the number of hours it takes to repair Deborah's computer. a. What part of the expression represents the amount of tax Deborah has to pay? Explain. (3 pts) b. What would the expression be if the company charged Deborah $45 per hour to repair the computer (plus tax)? (3 pts)

Answers

Complete question :

Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression :

Total cost after tax = 0.08(50h) + 50h

a. What part of the expression represents the amount of tax Deborah has to pay? Explain

0.08(50h) represents Tha amount of tax Deborah has to pay. This can be interpreted as :

Recall;

Tax amount = tax rate * cost

Cost of repair = 50h = 50 per hour

Tax rate = 0.08 = 8% of the total cost;

Hence; 0.08(50h) = tax Deborah has to pay.

What would the expression be if the company charged Deborah $45 per hour to repair the computer (plus tax)?

If she was charged $45 per hour plus tax. Expression becomes ;

Total cost after tax = 0.08(45h) + 45h

= 3.6h + 45h

= 48.6h

this is a test due today before 12, please help (attachment added)

Answers

I hope these answers help

I'm really bad at this, please help ​

Answers

Answer:

See explanation below for all parts

Step-by-step explanation:

Your current slope (m) is -1/2 (the orange colored slope) so the "opposite" slope would be 2/1 or 2(the blue colored slope)

The answer for number 3 is y=2x+b.

For number 4, plug in the point values for x and y and solve for b. The point given is (-4,-5).

-5=2(-4)+b Now simplify

-5=-8+b then add 8 to both sides to isolate b

3=b or b=3

For number 9, you now know that m is 2 and b is 3

y=2x+3

What is -4/5 * 10/16

Answers

The answer is -1/2. Hope that helped.

Answer:

-0.5

Multiply negative four fifths times ten sixteenths

Help!!!!!!.......!!!.!,!.?!!!

Answers

Answer:

yes

Step-by-step explanation:

The form of the equation representing direct variation is

y = kx ← k is the constant of variation

y = [tex]\frac{2}{7}[/tex] x ← is in this form

with k = [tex]\frac{2}{7}[/tex]

Johnny took 3 mathematics test. his score in second test was 5% higher than that in the first test. his score in third test was 5%lower than that in the second test. was Johnny's score higher in the first test or second test​

Answers

The Second Test is Higher Then The First

Can someone please help me with this

Answers

Answer:

i believe its C

Step-by-step explanation:

Imma go with C , just because the lines look apart

A=4ℼR2 solve for R
SHOW ALL STEPSSSSSSSSS

Answers

Answer:

[tex]R=\frac{1}{2} \sqrt{\frac{A}{\pi }}[/tex]

Step-by-step explanation:

To solve an equation for one of its value

Underline the variable you need to solve for itSeparate this variable on one side and other terms on the other sideMake its coefficient equal to 1

∵ A = 4πR²

→ Underline R

∴ A = 4πR²

→ Move 4π to the other side by dividing both sides by 4π

∵ [tex]\frac{A}{4\pi }=\frac{4\pi R^{2} }{4\pi }[/tex]

∴ [tex]\frac{A}{4\pi }=R^{2}[/tex]

→ To find R take √  for both sides

∴ [tex]\sqrt{\frac{A}{4\pi }}=\sqrt{R^{2} }[/tex]

→ You can simplify  [tex]\sqrt{\frac{1}{4}}[/tex] to [tex]\frac{1}{2}[/tex]

∴ [tex]\frac{1}{2} \sqrt{\frac{A}{\pi }}=R[/tex]

→ Switch the two sides

∴ [tex]R=\frac{1}{2} \sqrt{\frac{A}{\pi }}[/tex]

Can somebody plz answer these fractions questions correctly only if u know them!!!
(WILL MARK AS BRAINLIEST)
:D

Answers

Answer:

1) 1/4<7/12<2/3<5/6

2) 1 1/6<17/12<1 5/8<9/4

Step-by-step explanation:

Answer:

16: 1/4, 2/3, 7/12, 5/6

17: 1 1/6, 17/12, 1 5/8, 9/4

Step-by-step explanation:

Divide each number

16 : 1/4 = .25, 2/3 = .333 , 7/12 = .5888, 5/6 = .8333,

17:  1  + 1/6 = 1.166, 17/12 = 1.41, 1 + 5/8 = 0.625, 9/4 = 2.25

After dividing each fraction, order them from smallest to largest.

I am not sure if this helps, but I tried my best!

There are 12 inches in a foot. There are 36 inches in a yard. If the desk is 4 yards, how many inches long is the desk? *

48 inches long

9 inches long

144 inches long

3 inches long

Answers

Answer: It would be 144 inches

Step-by-step explanation:

Answer:

144 inches long

Step-by-step explanation:

there are 36 inches in one yard, so you eliminate any answers that are under 36 inches. Then you multiple 36inches times 4 yards to find your answer. 36 x 4 = I44

Carol has to buy shirts for her entire family. There are 27 members in Carol's family. She pays $425 for all of the shirts. How much did Carol pay for each shirt

Answers

Answer:

She pays $15.74

Step-by-step explanation:

Divide 425 by 27

im a lil stuck on this :v

Answers

Answer:

C-----> x<-7

Step-by-step explanation:

first u do this to turn x in positive and consequently change the > to an <:

(-1).(-4x)>28.(-1)

so:

4x<-28

x<-7

# when multiplying each side by (-1), you have to change the symbol (>) to an (<), or (<) to an (>)

r•s•r•r•s•s•r•r
R. S. R. R. S. S. R. R​

Answers

Answer:

Step-by-step explanation:

Hndnenenennjejejejekwkkwnwbfnfn

Answer:

????????????????????????????????

Step-by-step explanation:

pls help
8(t + 2) - 3(t - 4) = 6(t - 7) + 8
what is t?

Answers

Answer: t = 62

**look at attachment for explanation

ABC is a straight angle. Which equation can be used to find the measure of
the unknown angleP
D
?
45
B

Answers

D, i’ve done that question before

A magazine provided results from a poll of 20002000 adults who were asked to identify their favorite pie. Among the 20002000 ​respondents, 1414​% chose chocolate​ pie, and the margin of error was given as plus or minus±33 percentage points. What values do ModifyingAbove p with caretp​, ModifyingAbove q with caretq​, ​n, E, and p​ represent? If the confidence level is 9999​%, what is the value of alphaα​?

Answers

Answer:

Step-by-step explanation:

Given that:

The sample size n = 2000

The sample proportion [tex]\hat p[/tex] = 0.14

If  [tex]\hat p[/tex] = 0.14, then [tex]\hat q[/tex]  = 1 -  [tex]\hat p[/tex]

[tex]\hat q[/tex]  = 1 - 0.14

[tex]\hat q[/tex]  = 0.86

The margin of error = 0.03

Given that the confidence interval level = 99%

The significance level is the value of alpha ∝ = 1 - 0.99

∝ = 0.01

whats the slope of a line that runs through (-10,11) and (8,-5)

Answers

Answer:   m = -8/9

....................................

The slope of the line should be (-8/9). You find this by doing y2-y1/x2-x1.

Put the numbers least to greatest 5.2, √32, √17, 4 2/3

Answers

Answer:

square root of 17, 4 2/3, 5.2, square root of 32

Step-by-step explanation:

square root of 17 = 4.123105625617661

Square root of 32 = 5.656854249492381

4 2/3 = 4.66.....

PLEASE HELP FAST!!!
Which quadratic function contains the ordered pairs (−1,4), (0,3), and (1,4)?

Answers

Answer:

The 1st one

Step-by-step explanation:

I would explain but you said u need help fast

The first one




It is correct
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