The ratio of the present age of mother and daughter is 3:1. Six years ago the ratio of their age was 6 : 1. Find their present age.​

Answers

Answer 1

Answer:

30 and 10

Step-by-step explanation:

Given ratio of age = 3 : 1 = 3x : x ( x is a multiplier )

Six years ago their age ratio was

3x - 6 : x - 6 = 6 : 1 ← express in fractional form

[tex]\frac{3x-6}{x-6}[/tex] = [tex]\frac{6}{1}[/tex] ( cross- multiply )

6(x - 6) =3 x - 6

6x - 36 = 3x - 6 ( subtract 3x from both sides )

3x - 36 = - 6 ( add 36 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Thus their present ages are

mother = 3x = 3 × 10 = 30

daughter = x = 10


Related Questions

8. It took Sharon 85 minutes to wash three cars. She spent x minutes on each car and 10 minutes
putting everything away. Solve 3x +10 = 85 to find out how long it took to wash each car.
a. 5.5 minutes
b. 28.3 minutes
c. 25 minutes
d. 31.65 minutes

Answers

Answer:

c. 25 minutes

Step-by-step explanation:

3x + 10 = 85

3x = 85 - 10

3x = 75

x = 25

Find the slope that passes through the points (19,-2) and. (11, 10)

Answers

Answer:

12 over -8

Step-by-step explanation:

Will mark brainlist! Andrea spent $2 to make 10 prints from a photo both. Later, she spent $6 to make 30 prints. Did she get a better deal the first or second time she purchased prints. How do you know?

Answers

Answer:

She got an equally good deal both times

Step-by-step explanation:

[tex]\frac{2}{20}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]

[tex]\frac{6}{30}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]

they are the same

Put the following equation of a line into slope-intercept form, simplifying all
fractions.

8y – 4x = -56

Answers

Here you go!! Hope this helps

Which system of equations does the graph represent?

A) y = 2x + 2
y = -3x + 4

B) y = x + 2
y = -x + 4

C) y = 2x + 4
y = -3x + 2

D) y = -x + 2
y = x + 4

Answers

Answer:

The answer is B) y= x + 2

y= - x + 4

solve for x and simplify -5/6x=-3

Answers

Answer:

x = 18/5

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS Equality Properties

Step-by-step explanation:

Step 1: Define equation

-5/6x = -3

Step 2: Solve for x

Divide both sides by -5/6:               x = 18/5

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    -5/6(18/5) = -3Multiply:                        -3 = -3

Two friends, Aria and Kaylee, took summer jobs. The equation y = 20.2 x y=20.2x represents Kaylee's earnings in dollars and cents, y y, for working x x hours. Aria earned $737.20 in 38 hours.

Answers

Answer:

y=19.4x------represents Aria's earnings in dollars and cents,

Step-by-step explanation:

The question is not complete, however, the idea from this response can provide the needed solution and understanding

 Step one:

The linear function for the earnings is given as

y = 20.2x-----this represents Kaylee Earnings.

y represents the total earnings

x represents the earning rate, in this situation it $20.2 per hour, this is also the gradient of the function m

Step two:

we want to find th equation for Aria earning

y= $737.20

time taken x=38 hours

737.2=m(38)

divide both sides by 38

m=737.2/38

m=19.4

this means that Aria earn $19.4 per hour

the function for Aria is

y=19.4x

.
Find the measure of ∠3.




45°


90°


135°

Answers

The answer you are looking for is 45

The denominators of a fraction is r more than the numerator. If the numerator is increased by 2 and the denominator is increased by 5 , the fraction obtained is 5/12 . Find the fraction​

Answers

Answer:

please correct your question

A certain forest covers an area of 3000 km^2. Suppose that each year this area decreased by 8%. What will the area be after 15 year? Round answer to nearest square kilometer

Answers

Yes queen go get it girl forest THE ANSWER IS forest 2000 x 8% 15 year.

A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?

Answers

Answer:

medium

Step-by-step explanation:

Mediums were sold the most, and this size had the least amount remaining at the end of the event. Hope this helps  

Answer:

medium!! {a p e x :))}

------------------------

Step-by-step explanation:

small: 160/225=0.71*100=71 shirts

medium: 335/375=0.893*100=89 shirts

large: 275/325=0.846153*100=85 shirts

x-large: 125/175=0.714285*100=71 shirts

based on the math above, the medium shirts sell the best, which means that the vendor should bring more of the medium shirts

HELPPPPP ASAPPPPP PLSSSS

Answers

C tell me if you get it right

Given the function
g(x) = 2x + 4 find 9(2), 9(4), and g(10)

Answers

You would have to plug in the numbers in the equations. I will do one and you can do the rest:)
g(x) = 2x + 4
g(10) = 2(10) + 4
g(10) = 20 + 4
g(10) = 24 <— That is the answer for g(10)
Now you plug in the other ones and solve!
Hope I helped:)

There are Z fishes in an aquarium. 1/4 of the fish are angelfish. How many fish are angelfish.

Answers

Answer:

Does it say how many fishes inall?

Step-by-step explanation:

Help me find a 3rd degree binomial

Answers

Step-by-step explanation:

A binomial expression has two terms. For example, 4x + 5,

The degree of any polynomial refers to the term with the highest exponent on its variable. For example, In expression 4x + 5, the exponent of x is 1 so it is 1st degree polynomial and in the same way, for  since the variable y has the highest exponent i.e., 2 therefore it is 2nd degree polynomial.

Now, third degree binomial with constant term 8 =

As it has two terms where first term is  and second term is 8. Therefore, it is called binomial and since the highest exponent with variable x is 3, therefore it is third degree binomial with constant term of 8.

A sweater priced at $34.99 is on sale for 25% off. Find the cost with 7.5% sales tax.

Answers

Answer:

25%=$8.74 7.5%=$2.62

Step-by-step explanation:

Please Answer! I have been working on this for an hour and can't get it!
Given A (4,2) and B (-1,y), what is y when the slope of AB is -7/5?

Answers

The answer is B = (-1, -5)

Because -1 to 4 is 5 which is the run from
rise/run
So we would apply 2 - 7
Which would be - 5

Give me brainliest if this helped

Which ratios have a unit rate of 4? Choose ALL that apply.

Answers

Answer: It’s 2 cups and 1/2 and 2 1/2 and 5/8

Step-by-step explanation:

The ratios have a unit rate of 4 will be 2 ¹/₂ cups: ⁵/₈ cups and 2 cups: ¹/₂ cups. Then the correct options are C and D.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The ratios are given below.

A)  4 ¹/₃ cups: 3 cups = 1.44

B)  ⁷/₈ cups: 3 ¹/₂ cups = 0.25

C)  2 ¹/₂ cups: ⁵/₈ cups = 4

D)  2 cups: ¹/₂ cups = 4

E)  ¹/₈ cups: 1 cup = 0.125

F)  4 cups: 1 ¹/₄ cups = 3.2

The ratios have a unit rate of 4 will be 2 ¹/₂ cups: ⁵/₈ cups and 2 cups: ¹/₂ cups. Then the correct options are C and D.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ5

How many sig figs does 602 200 000 000 000 000 000 000 molecules have ? Explain

Answers

Answer:

4

Step-by-step explanation:because 6022 is the sig figs, and 00000000000000000000 doesnt work because it is zero

The ratio of pears to bananas in a fruit basket is 6 to 5. If there are 44 pears and bananas altogether, how many bananas must there be?

Answers

Answer:

20 Bananas

Step-by-step explanation:

we are going to apply the part to all method to solve this problem

Step one:

Given that the ratio of pears to banana is 6:5

the total ratio is 6+5= 11

and the total fruit is 44

Step two:

let the number of banana be x

applying the part to all method

5/11=x/44

cross multiply we have

11x=44*5

11x=220

divide both sides by 11

x=220/11

x=20

the bananas are 20 in numbers

Ryan and his children went into a bakery and will buy cupcakes and brownies. Each cupcake costs $4.75 and each brownie costs $1. Ryan has a total of $50 to spend on cupcakes and brownies. Write an inequality that would represent the possible values for the number of cupcakes purchased, cc, and the number of brownies purchased, b.b.

Answers

Answer: 4.75c+1b ≤50

Step-by-step explanation: One cupcake costs $4.75, so “c” cupcakes cost $4.75. One brownie cost $1, so “b” brownies cost 1b. The total 4.75c+1b must be less or equal to $50.

Which is a monthly cost associated with renting a house? A. utility bills B. property tax C. security deposit

Answers

Answer:

Property tax

Step-by-step explanation:

That is because you are paying to live on that property. As utility bills. Is like paying for tools and that is not a part of renting a house. Sercurtity deposit is not a thing.

Answer:

A. utility bills

Step-by-step explanation:

Help please I’ll give you 25 points

Answers

Answer:

=x3y+8

Step-by-step explanation:

The answer to your question is in the picture ❤️

There are 8 people working on a project with m tasks, and for each task, there are 4 people participating in. We know that any two persons work n tasks, n>0. What is the minimal value of m?

Answers

Answer:

2 tasks because you look and it says there are  8 people and 4 for each task

Step-by-step explanation:

hope this helps

Use the Remainder Theorem to determine whether or not x + 3 is a divisor of p (x) = 2x^3 + 4x^2 - 2x + 12

PLEASE SHOW WORK.

Answers

Step-by-step explanation:

This is answer. I'm sri lankan. But our a/l exam have this mathematics questions

The remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

The remainder theorem states that for a polynomial, f(x) divided by a linear polynomial , x - a, the remainder is equal to f(a).

Given the polynomial; p(x) = 2x³ + 4x² - 2x + 12, since it is divided by x + 3, hence:

x + 3 = 0

x = -3

p(-3) = 2(-3)³ + 4(-3)² - 2(-3) + 12 = -6

Hence the remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.

Find out more at: https://brainly.com/question/13416073

At cultutral arts day each session lasts 4/5 hours. The principal has set aside 3 hours for the sessions. Determine the number of sessions that can be sheduled for each student

Answers

Answer: 3.75

Step-by-step explanation:

The following can be gotten from the question:

Time taken for each session = 4/5 hours

Total time set aside by principal = 3 hours

The number of sessions that can be sheduled for each student will be:

= Total time set aside by principal / time taken for each session

= 3 hours / 4/5 hours

= 3 × 5/4

= 3.75

**A lady came to the market to sell eggs. Her first customer bought 1 2 of all her eggs and 1 2 of an egg. Her second customer bought 1 2 of all the remaining eggs and 1 2 of an egg. Finally, a third customer bought 1 2 of all of her remaining eggs and 1 2 of an egg. At this point she had sold all of the eggs she had brought to the market so she went home. How many eggs did the lady have when she first came to the market?

Answers

Answer:

She had 7 eggs when first went into the market

Step-by-step explanation:

Three times multiply 1/2 and minus 1/2 until you get zero.

7 x 1/2 - 1/2 = 3

3 x 1/2 - 1/2 = 1

1 x 1/2 - 1/2 = 0

Answer:

7

Step-by-step explanation:


Please explain if is proportional or not

Answers

Answer:

Yes

Step-by-step explanation:

1x6=6

2x6=12

3x6=18

4x6=24

Answer:

yes it is porportional they are all

Step-by-step explanation:

Please can anyone simplyfy that and can you tell the steps?​​

Answers

Step-by-step explanation:

Hope I did the way it was required! And helped you somehow!

Which mathematical property does (2+3)+4=2+(3+4) illustrate?

Answers

Answer:

associative property of multiplication illustrate2+3)+4=2+(3+4)

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