In 1974 a mother was 6 times as old as her daughter. If the mother turned 50 in the year 2000, in what year was the mother double her daughter’s age?

This is in the topic of linear equations and please provide an explanation. (The working out)

Answers

Answer 1

Answer:

1990

Step-by-step explanation:

Since the mother was 50 years old in 2000, she was 50 - (2000-1974) = 50 - 26 = 24 years old in 1974.

Hence, the daughter was 24/6 = 4 years old in 1974.

In "x" years after 1974, the daughter will be 4+x years old, while the mother will be 24+x years old.

We need to find "x" from the equation

2(4 + x) = 24+x.

8 + 2x = 24 + x,

x = 24 - 8 = 16.

1974 + 16 = 1990.

Answer In 1990 the mother doubles her daughter's age

Check In 1990 mother's age is/was 24 + 16 = 40 years.

In 1990 the daughter's age is/was 4 + 16 = 20 years.

Answer 2
In the year 2000 the mother was 50 so that means that in the year 1974 she was 24. If in 1974 she was 6x as old as her daughter then her daughter was 4 years old. Her daughter is 30 in the year 2000 so the year the mothers age was double her daughters age is before 2000 and after 1974. But since we know that in 2000 mom was 50 and daughter is 30 we can take 10 years from both to have 40 and 20. 40 is double of 20 so
In the year 1990 the mother was 40, and therefore double her daughters age, who was 20.

Related Questions

Carly is ordering candles online.

Answers

Answer:

Is that the whole question or....

In a bag full of small marbles, 1/4 of the marbles are green 1/8 of the marbles are blue and 1/12 of the marbles are
yellow The remaining 26 marbles are white How many marbles are blue?
blue marbles

Answers

Step-by-step explanation:

white=26

1/4+1/8+1/12=6/24+3/24+2/24=11/24=(green,blue and yellow marbles)

24-11=13/24=white

26/13=2=1/24

blue=3/24

2.3=6

answer 6

(5x4-2x3-7x2-39)/(x2+2x-4)

Answers

Answer:

-39/x2+2x-4

Step-by-step explanation:

Write equation of the line with the given slope and Y intercept.
Slope = 1/2.
Y-intercept = 7.

Answers

Answer:

y = 1/2x + 7

Step-by-step explanation:

The equation is y = mx + b where m is the slope and b is the y-intercept. So you simply plug in 1/2 for m and 7 for b and you get y = 1/2 +7

If sarah had 16 apples and gave 5 away and added 20×1 how many does she have left.

Answers

Answer:

I think 31

16-5=11

20×1=20

11+20=31

Step-by-step explanation:

I'm not sure if I'm wrong or not bc its sus. it seems too easy.

A 17-ft ladder leans against a building so that the angle between the ground and the ladder is 71°. How high does the ladder reach on the building? (Round your answer to the nearest foot.)

Answers

Answer:

there is 16.08 foot high does the ladder reach on the building

Step-by-step explanation:

The computation of the high does the ladder reach on the building is shown below:

Given that

length of the ladder = 17 ft

angle -between the ground and the ladder = 75 degrees

Based on the above information

Here we used the trig-ratio to calculate the same

[tex]Sin \theta = \frac{oppo}{hyp} \\\\Sin 71^{\circ} = \frac{h}{17}[/tex]

0.946 × 17 = h

The height is 16.08 foot

Hence, there is 16.08 foot high does the ladder reach on the building

∣x−10015∣∣≤23


where x is a person’s IQ. Solve the inequality to find the IQ scores for the middle 50% of the population.

Answers

Answer:

9992≤x 10038

Step-by-step explanation:

Given the expression

∣x−10015∣∣≤23, we are to find the range of values of x

since the function is in a modulus sign, it can be expressed as a negative and positive function.

If the function is positive;

x -  10015 ≤23

x ≤23 + 10015

x ≤ 10038

If the function is negative;

-(x-10015)≤23

-x+10015≤23

-x≤23-10015

-x≤-9992

multiply through by -1

x ≥ 9992 (note the inequality sign change)

9992≤x

Combine both inequalities

9992≤x and x ≤ 10038

On combining;

9992≤x 10038

Hence the inequality to find the IQ scores for the middle 50% of the population is expressed as 9992≤x 10038

We want to solve an inequality to find the range of IQ scores for half of the population.

We will find that the range is:

77.15 ≤ x ≤ 123.15

The inequality we need to solve is:

|x - 100.15| ≤ 23

To solve it, we write two inequalities.

x - 100.15 ≤ 23

x - 100.15 ≥ -23

Solving these two, we will get the maximum and minimum of the range.

The maximum is given by:

x - 100.15 ≤ 23

x  ≤ 23 + 100.15 = 123.15

The minimum is given by:

x - 100.15 ≥ -23

x  ≥ -23 + 100.15 = 77.15

Then the range is:

77.15 ≤ x ≤ 123.15

If you want to learn more, you can read:

https://brainly.com/question/24797699

Which ordered pair would form a proportional relationship with the point graphed below?

Answers

Answer:

D) (90, 60)

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Write an equation in slope-intercept form that passes through the point (−4,−5) and has a slope of 3/4

Answers

Answer:

It is A

Step-by-step explanation:

On a number line,5.92 would be located. choose all answers that make a true statement
A. to the left of 5.93
B. between 4 and 5
C. between 4.92 and 4.94
D. to the right of 5.91

Answers

The answer is A and D

Huilan is 9 years older than Thomas. The sum of their ages is 73 . What is Thomas's age?

Answers

Answer: Thomas is 32

Step-by-step explanation: bada bing badaboom

Answer: thomas is 45, (46 if you have to round up since it’s 45.5 exactly)

Step-by-step explanation: the sum of their ages added together is 73, so you would divide that by 2. to find thomas age as he is 9 years older, you add 9 onto that. hope this helps!

What is the equation for the line in slope-intercept form?



Enter your answer in the box.

Answers

y=4x i believe is the answer

Answer:

y=8x

Step-by-step explanation:

One number is 2 times another. The sum of their reciprocals is 6. Find the numbers.
The numbers are

Answers

Answer:

1/2, 1/4

Step-by-step explanation:

Let the numbers be x and y.

Given, x=2y

1/x + 1/y = 6

plug in x=2y ,

1/2y+1/y = 6

Taking common denominator ,

(1+2)/2y = 6

2y = 3/6 = 1/2 => y=1/4

x = 2y = 2* 1/4 = 1/2

So, the numbers are 1/2 and 1/4

Gracie has $32 to spend at the fair.the cost for admission is $5 and each ride costs$2.50

Answers

Is that the rest of the question? But if you took away the 5 dollars a 2.50 dollars from 32, you would have 24.50z

Which statement is true about perpendicular lines?

Help please!!

Answers

Answer:

The answer is that they intersect at the right angles 90°

Answer:

they intersect at right angles (90 degrees)

Step-by-step explanation:

ab+ d= c+ e solve for a

Answers

Answer:

a=e

Step-by-step explanation:

a+abcdef b=asd d+da

In the isosceles trapezoid LMNO, find the value of x.




5


9


15


45

Answers

Answer:

15 would be the correct answrr

#1: what percent of 78 is 16?

#2: what is 79% of 55?

Answers

Answer:

1.   487.5%

2.  43.45

Step-by-step explanation:

Remember the formula for a proportion: ((part)/(whole)) = ((percent)/(100))

1.

The part is given, 78, and the whole is given, 16.

Set up a porportion:

78/16 = percent/ 100

Simplify:

39/8 = percent /100

Cross products

39/8 = percent/100

8percent = 3900

Inverse operations

8percent = 3900

/8     /8

percent = 487.5

487.5%

2.

The percent is given, and the whole is given.

Set up a proportion:

part/55 = 79/100

Cross products

part/55 = 79/100

100part = 4345

Inverse operations

100part = 4345

/100    /100

part = 43.45

43.45

1: 20.5%
2: 43.45
hope this helpsss

Proportion
A sink is leaking 2 mL every 24 minutes. How much water will it leak n 9 minutes ?

Answers

Step-by-step explanation:

if 24 min is equal to 2 ml

what about 9 min

What linear equation has a slope of -2 and y-intercept of 3?

Answers

Answer:

y=-2x+3

Step-by-step explanation:

equation is y=mx+c

The cost in dollars, y, of a large pizza with x toppings from Pat's Pizzeria can be modeled by a linear function. A large pizza with no toppings costs $14.00. A large pizza with toppings costs $17.50.

Answers

Given :

A large pizza with no toppings costs $14.00. A large pizza with toppings costs $17.50 .

To Find :

The cost in dollars y, of a large pizza with x toppings from Pat's Pizzeria.

Solution :

Let, equation is :

y = mx + c    ....1)

Case 1 : With no toppings.

y = 14 = m(0) + c

c = 14

Case 2 : With 1 toppings i.e x = 1 .

y = 17.50 = m( 1 ) + c

17.50 = m + 14

m = 3.5

Putting value of c and m in equation 1, we get :

y = 3.5x + 14

Hence, this is the required solution.

Answer:

b 22.75

Step-by-step explanation:

At the beginning of the business day a bank vault had $575,900. By the end of the day, $ (3.5 x 10^3) have been added to the vault how much money did the banks fault told at the end of the business day write your answer in standard form.

Answers

9514 1404 393

Answer:

  $579,400

Step-by-step explanation:

The total will be ...

  $575,900 +3.5×10³ = $575,900 +3,500 = $579,400

At the end of the day, the vault held $579,400.

like y'all is so nice for helping me because this work is so hard so can yall help me

Answers

B, hope this helps, rate

BRAINLIEST TO FIRST RIGHT NO WORK
there are 59 balls of 4 different colors in a box. If 51 balls are taken then at least one ball of each color appears among the taken balls What is the minimum number of balls that must be taken so that three different colors appear among the taken balls

Answers

Answer:

Im pretty sure its 77

Step-by-step explanation:

Answer: its 32

Step-by-step explanation:

PLEASE PLEASE PLEASE HELP I WILL GIVE XTRA POINTS AND BRAINALIST TO FIRST PERSON

Answers

Answer:

the answer is A because it has all numbers less than 15

Step-by-step explanation:

Calculate x you must include the steps in your solution and the definitions and/or conjecture that u use

Answers

Answer:

x = 40

Step-by-step explanation:

[tex](3x - 10) \degree = (2x + 30) \degree \\ (vertical \: \angle s) \\ \\ \\ 3x - 10 = 2x + 30 \\ \\ 3x - 2x = 30 + 10 \\ \\ x = 40[/tex]

Pls help ASAP
only answer 4, 7, and 10 please

Answers

Answer:

q4: ΔGHJ≡ΔARE by ASA

q7: ΔABC≡ΔILH by SSS

q10: ΔABC≡ΔKPG by AAS

Step-by-step explanation:

q4: ΔGHJ≡ΔARE by ASA

q7: ΔABC≡ΔILH by SSS

q10: ΔABC≡ΔKPG by AAS

Which of the following are right triangle congruence theorems

Answers

Answer:

All of them

Step-by-step explanation:

Gareth is single and has a net taxable income of $54,446. Over the year, his employer has collected $9,100 in withheld payroll tax. Based on the table below, what should Gareth expect when his taxes are due?
Between 54,400 and 54,500 dollars, for filing single, the amount of tax is 9,950 dollars.
a.
Gareth will receive a tax refund of $863.
b.
Gareth will receive a tax refund of $1,739.
c.
Gareth will owe the IRS $896.
d.
Gareth will owe the IRS $850.

Answers

Answer:

D

Step-by-step explanation:

just took quiz

The Gareth is single and he has a net taxable income of $54,446 over the last year the employee has collected about $9,100 from him and he has been withheld for the payroll of taxes. Thus the answer is option D that is he will owe the IRS $850.

Calculate the net taxable income that Gareth is expected.

As per the data of the table the taxes shows that Gareth's expectations from the taxes are due between 54,400 and 54,500 USD. As the tale mentions the tax of 54,400 and 54,500 dollars he is to do a single filing and his employees want to the total amount of  9,950 dollars to be taxed thus he has ownership of the about 850 dollars.

Find out more information about the Gareth payroll tax.

brainly.com/question/24756829

A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm. What is its surface area?

Answers

SA = 2•L•W + 2•L•W + 2•H•W

SA = 2(5•2) +2(5•2) + 2(2•2)

SA = 20 + 20 + 8

SA = 48cm
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