Mathematics High School

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Mrs. Roberts is 3 times as old as her son. The sum of their ages is 48 years.
How old was Mrs. Roberts when her son was born?

Answers

Answer 1

Answer:

24

Step-by-step explanation:

To find how old Mrs. Roberts was when her son was born, we first need to know both of their ages. I'm going to give Mrs. Roberts the variable m and her son the variable s.

Let's turn the two sentences about their ages into equations:

m=Mrs. Roberts and 3s= three times as old as her son

m=3s

m+s is the sum of their ages

m+s=48

Now substitute the first equation into the second one:

m+s=48

(3s)+s=48

4s=48

s=12

The son is 12 years old. Now substitute s into one of the equations to solve for the mother's age:

m=3s

m=3(12)

m=36

Mrs. Roberts is 36. Since they are asking how old she was when her son was born, we will subtract her son's age from her age, since she would be 12 years younger:

36−12=24

Mrs. Roberts was 24 when her son was born.

credit to CountryGirl on Socratic Q&A

Related Questions

Last Sunday 1,575 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children ages 12 and under. Find the number of adults, teenagers, and children that visited the part.

Answers

Answer:

Adults

= Percentage of adults * Total number of people who visited

= 56% * 1,575

= 882 adults

Teenagers

= Percentage of teenagers * Total number of people who visited

= 16% * 1,575

= 252 teenagers

Children

= 28% * 1,575

= 441 children

Use the ratio table to solve the percent problem.



What percent is 6 out of 30?


2%

6%

20%

30%
A table displaying Part in one column and Whole in the other. The part column contains 6 and a question mark. The whole column contains 30 and 100.

Answers

Answer:

20%└|∵|┐♪└|∵|┐♪└|∵|┐♪└|∵|┐♪

Step-by-step explanation:

denada ┌(・。・)┘♪

Answer:

20%

Step-by-step explanation:

The sum of two integers is 9. Their difference is 5. What are the two integers?
(A) 7 and 12
(B) -7 and 16
(C) -12 and -7
(D) 2 and 7​

Answers

Answer:

D) 2 and 7

Step-by-step explanation:

x+y=9

x-y=5

----------

2x=14

x=14/2=7

7+y=9

y=9-7=2

5/6 times k = 1/6 what is K

Answers

Answer:

[tex] \frac{5}{6} k = \frac{1}{6} \\ \ \\ \ k = \frac{1}{6} \times \frac{6}{5} \\ \\ k= \frac{1}{5} [/tex]

A chemist is using 329 milliliters of a solution of acid and water. If 13.4% of the solution is acid, how many milliliters of acid are there? Round your answer to
the nearest tenth.
I milliliters
х
5
?

Answers

Answer:

44.1mm

Step-by-step explanation:

Given

Total solution of acis nad water = 329mm

Percentage that is acid = 13.4%

Amount that is acid = 13.4% of 329

Amount that is acid = = 13.4/100 * 329

Amount that is acid = 13.4*3.29

Amount that is acid = 44.086

Hence the amount of acids there is 44.1mm

When can we say that a function is continuous?

Answers

Saying a function f is continuous when x=c is the same as saying that the function's two-side limit at x=c exists and is equal to f(c).

Express each ratio as a fraction in simplest form.
26:169 and 36 to 78

Answers

Answer:

Step-by-step explanation:

1. 26/169 = 2/13

2. 36/78= 6/13

PLEASE HELP ME WITH THIS FOR BRAINLIEST

Answers

i think since x=6 you multiply 6x6 and then minus 5 to get 31

The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars Car 1 X |y
15 75
17 85
21 105
Car 2 :y = 10x
Which statement is true about the speeds of the two cars? A )Car 1 is traveling faster than Car 2. B )Car 2 is traveling faster than Car 1. C) The two cars are traveling at the same speed. D) The speeds cannot be compared because there is not enough information about car 2​

Answers

Answer:

Step-by-step explanation:

Car 2 is traveling faster than Car 1. Option B is correct.

Given that,
The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

here,
Speed of the car 1,
= 85 - 75 / 17 - 15
= 10 / 2
= 5 feet/second


Speed of the car 2,
y = 10x
Where 10 is the speed of the car 2 feet per second.
So,
Speed of the car 2  is faster than car 1.

Thus,  Car 2 is traveling faster than Car 1. Option B is correct.

Learn more about speed here:
https://brainly.com/question/7359669

#SPJ5




Does the equation 5(x−3)+6=5x−9 have one, none, or an infinite amount of solutions?

Answers

It has infinite amount of solutions

Trevon is buying a car. He is borrowing $12,000 from the bank at a rate of 5% for 4 years. At the end of 4 years, how much interest did Trevon pay?

$24,000
$24,000

$2,400
$2,400

$4,800
$4,800

$600

Answers

2,400 I believe because look at it he has a rate of 5%

Question 6
Solve for x
4x = 10
A
X= 40
B
x = 2.5
С
x=4
D
x = 40

Answers

Answer:

B

Step-by-step explanation:

4x = 10

x = 10 / 4 = 2.5

How do you graph this?

Answers

Answer:

You need more information to graaph this.

Step-by-step explanation:

how do i multiply integers with different sign

Answers

Answer:

alensdkhvabroefsljndfs

Step-by-step explanation:

ANSWER:
n/a

STEP BY STEP:
When multiplying two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When you divide two integers with the same sign, the result is always positive.

Hope this helps. :)

Two long strips of paper are each 2 inches wide, and they overlap so that the angle between the strips is 30 degrees. What is the number of square inches in the area of the parallelogram formed by the overlap?
.

Answers

Answer:

Step-by-step explanation:

37 inches

I need to find what x

Answers

Answer:

Step-by-step explanation:

Add the 21 then divide by 2

Answer:

x = 16, x = -7

Step-by-step explanation:

The question is;

35 * 4 = ( x - 7 ) ( x - 3 )

Combine like terms on one side;

140 = ( x - 7 ) ( x - 3 )

Distribute, remember to multiply every term with one another;

140 = [tex]x^{2}[/tex] - 3x - 7x + 21

Combine like terms;

140 = [tex]x^{2}[/tex] - 10x + 21

Inverse operations;

140 = [tex]x^{2}[/tex] - 10x + 21

-21                  -21

119 = [tex]x^{2}[/tex] - 10x

Factor;

119 = x ( x - 10 )

At this point it is fairly obvious that;

x = 16, x = -7

Note; One could have used a multitude of methods to solve this problem, one could have factored, completed the square, or used the quadratic formula, this method was simply chosen because it is easy to explain

When plotting points on the coordinate plane below, which point would lie on the x-axis?
(6,0)
(0,2)
(3,8)
(5,5)
(Help me please)

Answers

Answer:

(6,0)

Step-by-step explanation:

If the y-coordinate is 0, it is lying on the x-axis

Same with the x-coordinate. If it is 0, it is lying on the y-axis

Please Someone Help Me

Answers

Answer:

x=4   : y = -8

Step-by-step explanation: happy to help let me know if you have any more questions.

joe sold half of her comic books, then she bought 18 more. She now has 36. With how many did she bigin?

Answers

Answer: Joe began with 36 books.

Step-by-step explanation:

x/2+18=36. 36+18=x. x/2-18=36.

36

x/2+18=36
-18. -18
(2)*(1/2x)=(18)*(2)
x=36

What is the value of 3n if n=2

Answers

Answer:

6

Step-by-step explanation:

3n=3(n)

ur replcing n with 2

3(2)=3x2

3x2=6

Answer:

6

Step-by-step explanation:

3n means you are multiplying 3 and n. since n = 2, the only thing you need to do is plug in 2 for n and then simplify by multiplying 3 · 2.

plug in 2 for n:

3n ⇒ 3(2)

multiply 3(2):

3(2) = 6

therefore, when n = 2, 3n = 6.

okay so last time my file did not show up so lets try again

Answers

Answer:

you are correct

Step-by-step explanation:

5 - 2(x + 2)

Since parenthesis comes first in PEMDAS, distribute 2

5 - 2x - 4 = 1 - 2x

4. The area of Mr. Badu's rectangular farm is
5500 cm', its width is 11 m. Find the length
of the farm.​

Answers

Answer:

50m

Step-by-step explanation:

5500cm=550m

Area=length*width

550=length*11

length=550/11=50

HELPPP

The school that Ryan goes to is selling tickets to a play. You can buy 2 senior citizen tickets and 4 child tickets for a total of $70. You can also buy 2 senior citizen tickets and 1 child ticket for a total of $31. What is the price each of one senior citizen ticket and one child ticket?

A) senior citizen ticket: $13, child ticket: $9B) senior citizen ticket: $6, child ticket: $7C) senior citizen ticket: $9, child ticket: $13D) senior citizen ticket: $13, child ticket: $14

Answers

Answer:

6 for senior and 7c for child

Step-by-step explanation:

WORLD PEACE EVERY WHERE
love,
compassion,
kindness,
responsibility,
humbleness,
reborn,
greatness,
success,
hopeful
, joy

Answers

Answer:

yes Amen and we also need Jesus

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

That would solve so many problems

Which expression has the smallest value? ǀ 65 ǀ - ǀ -34 ǀ - ǀ 27 ǀ ǀ -17 ǀ

Answers

Answer:| -17|

Step-by-step explanation: the lines represent the absolute value which is 17 out of the rest it has the smallest value

Convert (-3, 0) to polar form.

A. (3, 0 degrees)
B. (-3, 180 degrees)
C. (3, 180 degrees)
D. (3, 360 degrees)

Answers

Answer:

The answer would be A. (3,0)

Escribe las siguientes cantidades en forma de notación científica

a. 1'300.000 segundos
b. 450 metros
c.2'000.000.000.000.000.000 litros
d. 68 metros ​

Answers

Answer:

I don't know. I am sorry

Step-by-step explanation:

7 (4.3 + p)
note p=5.7

Answers

Answer:

70

Step-by-step explanation:

Replace p with 5.7.

7 (4.3 + p) = 7 (4.3 + 5.7)

                = 7 (10)

                = 70

Answer:

4.3 + 5.7 = 10

7 * 10 = 70

Hence, 70 is the answer

Hope it helps

Please mark me as the brainliest

Thank you

can someone help me how to calculate a square root of 8​

Answers

Answer:

2.82842712475

Step-by-step explanation:

when you square 2.82842712475 your answer is 8 so the number above Is answer

Answer:

8 = 64 √8 = 2.828

Step-by-step explanation:

√8 = √(4 * 2) = √4 * √2 = 2√2 ≈ 2.828427.

Hope this helps you!

Find the slope from point (3,45) and (5,75)

Answers

Answer:

15

Step-by-step explanation:

To find the slope, we use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 75-45)/( 5-3)

    = 30/2

    = 15

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