Mathematics High School

Sheila is twice as old as Rita. In two years, Sheila will be four times as old as Rita was nine years ago. How old is each now?

Answers

Answer 1

Answer:  (Sorry for not wording it correctly I had to reword it)

Step-by-step explanation: Let R be the current age of Rita. Let S be the current age of her son.

Rita is twice as old as her son.

=> R = 2S

In 4 years, R will be 4 times as old as S was 9 years ago

=> R + 4 = 4 (S - 9)

Solve for R, and S:

=> R + 4 = 4 (S - 9)

=> (2S) + 4 = 4(S - 9)

=> 2S + 4 = 4S - 36

=> 2S - 4S = -36 - 4

=> -2S = -40

=> S = 20

Find R:

=> R = 2S

=> R = 2(20)

=> R = 40

Therefore, Rita is 40, her son is 20.

Related Questions

The number 652.734 written in expanded form is (6 × 100) + (5 × 10) + (2 × 1) + (7 × 1 10) + (3 × 1 100 ) + (4 × 1 1000). Suppose you want to write the number 473.892 in expanded form. Which statements are correct? Select two that apply. A.7 should be multiplied by 100. B.8 should be multiplied by 1 10. C.3 should be multiplied by 1. D.2 should be multiplied by 1 100.

Answers

Answer:

3 x 1 and 8 x 1/10

Step-by-step explanation:

Solve for x. round your answer to the nearest whole degree.

Answers

Answer:

64°

Step-by-step explanation:

sin(x) = 17/19

take inverse sine of 17/19: [tex]sin^{-1}(17/19)[/tex] = 63.475°

they want to the nearest whole degree, so it would be ≈ 64°

Spongebob, Patrick, and Mr. Krabs are Investing a total of $240,000 in the Krusty Krab at a ratio of 8:5:17. How much
money did each of them invest?

Answers

Answer

SpongeBob:$64000

Patrick:$40000

Mr.Krabs:$136000

Step-by-step explanation:

8+5+17=30

Spongebob=(8/30)*$240000=$64000

Patrick=(5/30)*$240000=$40000

Mr.Krabs=(17/30)*$240000=$136000

Can you please help me with these questions in this link!

https://www.geogebra.org/classroom/ayzub3c4

Answers

Answer:

which question you need answered

Step-by-step explanation:

6. Which expression is equivalent to -21 + 28x?

Answers

Solution,
-28x^2+35x
take the common,
-7x(4x-5)
The answer is -7x(4x-5)
Here,
If we solve,
-7x(4x-5)
Then, the answer would be:
= -7x*4x+7x*5
= -28x^2+35x
Hope it helps
Good luck on your assignment

Whats y=-4(x+1)^2-5 in standard form

Answers

Answer:

y = - 4 (x+ 1)^2 - 5 in standard form is

y = -4x^2 - 8x - 9

Answer:

4x^2 − 8x + 9

Can someone help me please explain how to solve​

Answers

Answer:

120 sq ft 1/2 x b x h

Step-by-step explanation:

Please help ASAP!!!!

Answers

Answer:

m<CAO = 56°

Step-by-step explanation:

Same-side interior angles are supplementary to each other, so take their sum and set them equal to 180 and solve for x:

2x + 3x + 40 = 180

5x + 40 = 180

5x = 140

x = 28

Plug x=28 into angle CAO:

CAO = 2(28) = 56°


A car travels 955.9 km in 8 hours. How far does the car travel in 20.4 hours if the speed of the car remains constant?​

Answers

Answer:

2437 km

955.9km in 8 hours. so every hour the car travels 955.9÷8=119.48 km

119.48×20.4=. 2437.392

Please help me I do not understand this lolll

Answers

Answer:

I do not understand this either lolll lolll

but I guess eq 1 = D

EQ 2 = B

EQ 3 = A

EQ 4= C

That’s hard sorry I can’t

3(x−6)=−12 what is the answer pls

Answers

Answer:

[tex]3(x - 6) = - 12 \\ 3x - 18 = - 12 \\ 3x = - 12 + 18 \\ 3x = 6 \\ x = \frac{6}{3} \\ x = 2[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Answer:

x = 2

3 (x-6) = -12

3x - 18 = -12

3x - 18 + 18 = -12 + 18

3x = 6

3x/3 = 6/3

Hence,  x= 2

Step-by-step explanation:

pls mark as brainliest

hope it helps u

express 4.77777..... in the form of p/q​

Answers

Answer:

[tex]\frac{43}{9}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 7 placed after the decimal point.

let x = 4.7777... → (1)

Multiply both sides by 10

10x = 47.7777.... → (2)

Subtract (1) from (2) thus eliminating the repeating 7

9x = 43 ( divide both sides by 9 )

x = [tex]\frac{43}{9}[/tex]

The value of a piece of land in a town is
increasing every year. Its value, in dollars, t
years after 1970 and until 2001 can be modeled
by the function 31,000(1.001). What is the
domain of the function?
OA. All whole numbers greater than or equal to
1971 and less than or equal to 2001.
OB. All real numbers greater than or equal to
1971 and less than or equal to 2001.
c. All non-negative real numbers less than or
equal to 31.
OD. All whole numbers less than or equal to 31

Answers

Answer:

B. All real numbers greater than or equal to  1971 and less than or equal to 2001.

Step-by-step explanation:

Correct me if I'm wrong

Help please it’s annoying

Answers

I can’t see the picture

Convert the following angle from degrees to radians. Express your answer in simplest
form.
150°

Answers

(150*pi)/180= 2.617 radians

Help! This is due today and I'm stuck on this problem.
Brainiest for best answer.
NO LINKS! If you put a link, I will report you.
Find the area of the regular hexagon round answer to the nearest tenth.

Answers

Answer:

280.6 [tex]m^2[/tex]

Step-by-step explanation:

find the length of each side:

you're only given h = 9 m

the formula for h is  [tex]h=\frac{\sqrt{3} }{2} *a[/tex], where a is a side length of the hexagon

plug h in:

[tex]9=\frac{\sqrt{3}}{2}*a\\\\a=9*\frac{2}{\sqrt{3}}\\\\[/tex]

a ≈ 10.392 m

now find the area of a triangle:

1/2 (10.392)(9) = 46.764 [tex]m^2[/tex]

multiply that by 6 and you get 280.584 ≈ 280.6 [tex]m^2[/tex]

you can also use the regular hexagon area formula instead of finding the individual area and multiplying by 6: [tex]\frac{3\sqrt{3} }{2} *a^2[/tex]

The "Open" sign at Cenzo's flashes every 4 seconds. The "Open" sign at The Kettle flashes every 5 seconds and the "Welcome" sign at Centrella's Deli flashes every 6 seconds. If the signs are turned on and flash at the same time, how long will it take for them to flash at the same time again?

Answers

It will take 60 ( one minute) for the signs to flash at the same time


Find the lcm ( least common denominator)
4: 4,8,12,16,20,24,28,32,36,40,44,48,52,
56,60
5: 5,10,15,20,25,30,35,40,45,50,55,60
6: 6,12,18,24,30,36,42,48,54,60

hii please help asap ill give brainliest thanks

Answers

Answer:

Alloys...................................

Find the next term of the following sequence.
9, 6, 4, .....


PLEASE HELP ASAP

Answers

The next term is 8/3

Answer:

[tex]common \: difference \: decreases \: by \: 1\\ next \: term = 4 - 1 \\ = 3[/tex]

A planner assembles party favor bags filled with glow sticks and temporary tattoos for a client. There are 24 glow sticks and 30 temporary tattoos to divide
evenly among the bags.

If there are no leftover items, what is the greatest number of bags the planner can assemble?

A. 6 bags
B.8 bags
C. 24 bags
D. 30 bags

Answers

Answer:

24

Step-by-step explanation:

you don't have more than 24 glow sticks so thats the most amount of bags you can have

The answer to this is A 6 bags

Find the distance between the two points rounding to the nearest tenth (if necessary).
(6,-6) and (2,-2)

Answers

Answer:

The answer is 5.7

Step-by-step explanation:

To find the answer you would use the distance formula

[tex]\sqrt({x}_{2} -{x}_{1 )^{2} + (Y_{2} - Y_{1})^{2}[/tex]

The square root of X2 minus X1 plus Y2 minus Y1

You are given 2 points which means that you have your Xs and Ys needed.

We will use (6,-6) as our X and Y 1

We will use (2,-2) as our X and Y 2

Now all you do is plug in the numbers

[tex]\sqrt{2-(6)} + \sqrt{-2-(-6)}[/tex] Square them both

Simplify

[tex]\sqrt{-4} ^2+\sqrt{-4}^2[/tex]

Simplify again

-4 *-4 =16

4*4= 16

16+16= 32

Your answer is[tex]\sqrt{32}[/tex]

Or simplified 5.656

YOUR ANSWER IS: 5.7

When dividing by a mixed number, which should you do first?

Answers

Answer: Change each mixed number to an improper fraction.

Step-by-step explanation:

Gilberto invests $10,000 in a savings account that pays 4.75% simple interest. If Gilberto
makes no withdrawals or deposits to the account, how much will be in the account after 7
years?
A. $3,325
B. $13,325
C. $13,838.16
D. $13,000

Answers

Answer: B. $13,325

:)

two lines intersect in the figure below. what is the value of x?

Answers

Answer:

A. 17

Step-by-step explanation:

The angles are adjacent, meaning they are congruent. So you will set (5x + 6) equal to 91

(5x + 6) = 5x + 6

5x + 6 = 91

5x + 6 - 6 = 91 - 6

5x = 85

5x / 5 = 85 / 5

x = 17

Is (8, 3) a solution to the system?
- 2 + 4y = 4
- 2 + 3y = 1

Answers

Answer:

No, it's not a solution.

Step-by-step explanation:

-2 + 4(3) = 4

-2 + 12 = 10

-2 + 3(3) = 1

-2 + 9 = 7

what is the area of this figure?

Answers

the answer is 58.5 feet squared

What is the next term in the sequence 58, 47, 36, 25...?

Answers

Answer:

14

Step-by-step explanation:

subtract 11 each time.

Answer:

14

Step-by-step explanation:

Because look at the pattern they subtrat from 11

what is the quotient when the fraction 1/3 is divided by the whole number 6?

Answers

Answer:

[tex]\frac{1}{18}[/tex]

Step-by-step explanation:

What is the area of this triangle?

Answers

Answer:

The area of this triangle is.. [tex]30 in^2[/tex]

Step-by-step explanation:

6 x 10 divided by 2 = 30

Answer:

30 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 6 and h = 10 , then

A = [tex]\frac{1}{2}[/tex] × 6 × 10 = 3 × 10 = 30 cm²

Which property of real numbers is this an example of? (2 + 5) + 4 = 2 + (5 + 4)

Answers

Answer:

Associate

Step-by-step explanation:

Answer is Associate. Just letting you know for sure
Other Questions
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