5. Paul is x years old.
Rebecca is four times older than Paul.
Gemma is 10 years older than Paul.
the sum of their ages is 82 Years.
(a) Form a simplified equation in terms of x
(b) Solve the equation and work out each persons age.

Answers

Answer 1

Answer:  A) The equation will be     x + 4x + x + 10 = 82   B) Paul's age is 12, Rebecca's age is 48  and Gemma's age is 22.

Step-by-step explanation:

We will represent Paul's age by    the equation  p= x  where p is Paul

We will represent Rebecca's age by the equation  r = 4x  Where r is Rebecca

We will represent Gemma's age by the equation g = x + 10  where g is also Gemma's age.

We given that the sum of their ages is 82 years so meaning that  x + 4x + x + 10  has to equal 82.

A) The equation will be     x + 4x + x + 10 = 82  

Solve for the x equation to find Paul age because his age is x.

B)  (x) + (4x) + (x+10) = 82   combine like terms on the left side

    6x + 10 = 82

           -10    -10

   6x = 72

   x= 12  

Paul age is 12.  

r= 4(12)

r = 48

Rebecca's age is 48.

g= 12 +10

g= 22

Gemma's age is 22.  


Related Questions

Help meeee pleaseeeeee

Answers

Answer:

B.

Step-by-step explanation:

I think its B because the Y comes before the slope

The​ homoskedasticity-only F​-statistic and the​ heteroskedasticity-robust F​-statistic typically​ are:

Answers

Answer:

The​ homoskedasticity-only F​-statistic and the​ heteroskedasticity-robust F​-statistic typically​ are different.

Step-by-step explanation:

An F statistic is a value derived by running an ANOVA test or a regression analysis to find out if the means between two populations are significantly different.

The homoskedasticity-only” F-statistic is derived by running two regressions, one under the null hypothesis and one under the alternative hypothesis. If the “unrestricted” model fits sufficiently better, reject the null.

In the first regression, the restricted regression (the null hypothesis) is forced to be true. This is the regression in which all the coefficients are set to zero; the relevant regressors are excluded from the regression. In the second regression, the unrestricted regression, the alternative hypothesis is allowed to be true. If the sum of squared residuals is sufficiently smaller in the unrestricted than the restricted regression, then the test rejects the null hypothesis

The heteroskedasticity-robust F-statistic is built in to STATA (“test” command); this tests all q  restrictions at once.

The homoskedasticity-only F-statistic is important historically (and also in practice), and can  help intuition, but isn’t valid when there is heteroskedasticity

Zenzizenzicube is an obsolete word that represents the square of the square of a cube. In​ symbols, zenzizenzicube is written as

(((x^3)^2))^2

Required:
a. Use the chain rule twice to find the derivative.
b. Use the properties of exponents to first simplify the​ expression, and then find the derivative.

Answers

Answer:

Step-by-step explanation:

Given the expression (((x^3)^2))^2

a) Differentiating the function with respect to x using chain rule.

Given y = (((x^3)^2))^2

Let u = (x³)²

y = u²; dy/du = 2u

Let p = x³; dp/dx = 3x²

u = p²; du/dp = 2p

Applying the chain rule formula:

dy/dx = dy/du • du/dp • dp/dx

substitute in the formula

dy/dx = 2u•2p•3x²

Since u = (x³)² and p = x³

dy/dx = 2(x³)²(2x³)(3x²)

dy/dx = 12x^6•x^5

dy/dx = 12x¹¹

b) Using property of exponent

y = (((x^3)^2))^2

y = (x^6)²

y = x¹²

dy/dx = 12x^12-1

dy/dx = 12x^11

what is the measure of CAB?

Answers

Angle CAB = 84°

∠CAB and the angle above it whose measure is 84° are vertically opposite angles , which means their measure will be equal .

∴ The measure of angle CAB = 84°

By the definition of vertically opposite angle, Measure of an angle CAB is, 84°.

What are Parallel lines?

Parallel lines are those lines that are equidistance from each other and never intersect each other.

We know that;

The vertically opposite angles are equal to each other.

Here, ∠CAB and the angle above it whose measure is 84° are vertically opposite angles.

Hence, Measure of ∠CAB = 84°

Learn more about the parallel line visit:

brainly.com/question/30195834

#SPJ2

The ratio of boys to girls in homeroom is 2:3. If there are 8 boys, how many girls are there? Do not include units.

Answers

Answer:

12 girls

Step-by-step explanation:

boys   girls

     2:3

8 ÷ 2 = 4

4 × 3 = 12

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

If 6 pounds of apples cost $9, how much would 21 pounds of apples cost?​

Answers

Answer:

$31.50

Step-by-step explanation:

divide 9 by 6 to get the price per pound ($1.50), then multiply that by 21 to get the close of 21 pounds of apples ($31.50)

Ben drinks water everyday. He drinks 3 1/2 liters of water every 1/4 of an hour. Ben drinks water at a constant rate. How many liters of water can Ben drink in 3 hours?

Answers

Ben drinks 3 1/2 liters of tea every 40 minutes.

This means that he would drink 1 3/4 of tea every 20 minutes (divide both sides by 2).

Now, let's multiply each side by 3.  

1.75 * 3 = 5.25 (aka 5 1/4)

20 * 3 = 60 minutes (an hour)

He drinks 5 1/4 liters of tea in one hour.

Answer:

42 liters

Step-by-step explanation:

3.5x4=14 in 1 hour

14x3=42liters in 3 hours

Evaluate the function at the specified value and simplify
f(x)=|x|+8;f(-3)?

Answers

Step-by-step explanation:

f(x)=|x|+8

f(-3)=|-3|+8 =3+8 =11

I need somw help on this pls ^^

Answers

Answer:

100=9s+10

there are 10 students on each bus

The points on a section of an exam is given by the function , f(x), where x is the number of questions answered correctly in that section. If f(12) = 18, then a test-taker receives 18 points for answering _____ questions in the section correctly. *

Answers

Answer:

12

Step-by-step explanation:

x is the number of questions answered correctly in that section

AAAAAAAAAAAAAAAAAAHHHHHHHHHHHH

Answers

Answer:

-216

Step-by-step explanation:

I think

brainlist plz

Bro someone please help- i hate math -_-

Answers

Answer:

I can't see the image can you re upload

Step-by-step explanation:

Answer:Well I think the answer is 1/2 for the top because with mixed fractions the denominator has to be bigger then the numerator....And the bottom one is 2 because you put the bottom number on top. Hope it's right and it helps.

Step-by-step explanation:

please help me!! i’ll love you forever

Answers

The third one from the top so 2nd to bottom

Answer:

Option A

Step-by-step explanation:

Rearrange and simplify them

First we simplify

5.78 , -5.9 , 58%(58/100) or 5.8 , -5.75

Now we rearrange

-5.9 , -5.75 , 5.78 , 5.8

The larger the number in negative is the smallest.

So option A is the answer

Math question please help

Answers

3/4 (divided by) 1/48
3/4 *48/1
=(3*48)/ (4*1)
=144/4
= 36 pieces

brainliest??

Which representation has a constant of variation of –2.5?


A
x
–2
–3
–4
–5
y
–5
–7.5
–10
–12.5


B
5 x + 2 y = 0


C
y = negative 2.5 x + 1


D
On a coordinate plane, a line goes through points (negative 1, 0) and (0, negative 2).

A
B
C
D

Answers

Answer:

ez b no doubt

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 + ‐9−(‐12)= ‐9 +

Answers

Answer:

i am soooooooooooooooooo counfused

Answer:

12

Step-by-step explanation:

Left:

Simplify the following:

-9 - -12

-(-12) = 12:

-9 + 12

-9 + 12 = 3:

Answer: 3

______________________

Right:

Do the following addition:

-9 + 12

The number -9 is negative. Start from 0 and move 9 to the left:

Show the addition of 12 to -9. Start from the end of the previous arrow and move 12 to the right:

The final arrow is pointed at 3. This is the answer:

Answer: 3

Answer ASAP: What is the smallest positive number that can be added to 55 so that the resulting number and 45 have 9 as their greatest common factor?

Answers

Answer:

55 + 45 = 90

90 divided by  45 = 2

90 divided by 9 = 10

Step-by-step explanation:

HELP! WILL MARK BRAINLIEST!

Answers

Answer:

The answer to this question is C.

Step-by-step explanation:

All that you have to do is multiply the exponents.

You need to purchase supplies for building a backyard deck. Your boss gives you the supply list and asks that you get the best deal by buying from either True Builder or Quality Supplies. You call both stores, and they provide the price information that you put into the table below. Which store provides the lowest total cost, and what is the cost without sales tax?

Answers

Answer:

a) The store which provides the lowest total costs is:

True Builders

b) The cost without sales tax is:

$407.48

Step-by-step explanation:

Data and Calculations:

Product                Quantity       True Builders               Quality Suppliers

                                               Price          Costs             Price          Costs

Bricks                      120        $2.20       $264.00         $2.25      $270.00

2 x 4 boards            40 ft     $0.75            30.00         $0.70           28.00

1 x 6 boards           120 ft     $0.60            72.00         $0.65           78.00

2 x 6 boards           30 ft     $0.80            24.00         $0.80           24.00

Paint                        2 gal.    $15.50           31.00         $11.25          22.50

Paint Brushes         2           $7.50            15.00          $9.75           19.50

Total costs                                           $436.00                          $442.00

Imputed Sales Tax of 7%                        28.52                              28.92

Without Sales Tax                              $407.48                           $413.08

Answer:

Quality Supplies 442.00

Step-by-step explanation:

f(x)=x+3
g(x)=2x
its combining funtions please help

Answers

Addition : 3x + 3
Subtraction : -x+3
Multiplication : 2x^2+6x
Division:x+3/2x ; x is not 0

Let me know if I got wrong.

18. Leonardo lives in a 10-storey apartment
building. The building is 121 m tall.
All the storeys have the same height.
How high is each storey?

Answers

Answer:

12.1 m tall

Step-by-step explanation:

First you take 121 and divide it by 10 then you take the end number and add a m

Write the ratio in fractional notation in lowest terms.
5 megabytes to 22 megabytes
The ratio is (Type the ratio as a simplified fraction.)

Answers

Answer:

99999k

Step-by-step explanation:

kjjuhhhhhhhhhuurdghsex

The length of a rectangle is three times the width of the rectangle. The area of the rectangle is 48cm2. Draw the rectangle on the centimetre grid.

Answers

Answer:

The width is 4 cm

The length is 12 cm.

Step-by-step explanation:

Area of a rectangle

Given a rectangle of width W and length L, its area is calculated as follows:

[tex]A=W\cdot L[/tex]

The area of the given rectangle is 48 cm^2, and the length is three times the width, thus:

L = 3W

Substituting into the formula of the area:

[tex]W\cdot L=48[/tex]

[tex]W\cdot 3W=48[/tex]

Simplifying:

[tex]3W^2=48[/tex]

Solving:

[tex]W^2=48/3=16[/tex]

[tex]W=\sqrt{16}=4[/tex]

The width is 4 cm. Find the length:

L=3W=3*4= 12

The length is 12 cm.

The image attached shows the rectangle on the centimeter grid

I really need help I will mark brainliest

Answers

Answer:

is there a question orrrr

Edgar has 20 dimes and nickels,all together sum up to $1.40.what does each one of them cost?

Answers

Answer:Edgar has 12 nickles and 8 dimes.

Step-by-step explanation:

Which best describes the solution set of the compound inequality below? 2 + x ≤ 3x – 6 ≤ 12 4 ≤ x ≤ 9 4 ≤ x ≤ 6 –2 ≤ x ≤ 2 –2 ≤ x ≤ 3

Answers

Answer:

Im sure you dont need this anymore but in case someone else does, im pretty sure the answer is B

Answer:

B is tha right answer

Step-by-step explanation:

Question 2 A man ran 20 miles in 2 hours. Calculate the average time that it took the man to run each mile in minutes.​

Answers

Answer:

6 mintutes per mile

Step-by-step explanation:

find how many minutes are in 2 hours which is 120 then divide that by 20 to get a total of 6

apply the distrubtive property to simply the expression -3(6x+ 2)

Answers

Answer: -18x-6

Step-by-step explanation:

You're just multiplying the number outside of the parenthesis (-3) by the coefficients (number by X) and the constants (numbers without a variable by them).

-3 x 6 = -18

-3 x 2 = -6

(+ -6 can be written as -6)

13
In the figure shown below, if line mis parallel to line n, then find the value of x. (This is a 2 part question.)
m
(2x-10)
(65 - x)
Part A
Write the equation to find the value of x. (DO NOT find x, just write the equation.)
(2x - 10) (65 - x)
Part B
What is the value of x?
Y

Answers

Answer:

2x-10 = 65-x

Step-by-step explanation:

just add up both alternate internal angles as they are both equal

so, the equation is: 2x-10 = 65-x

Answer:

The right equation will be 2x - 10 = 65 - x (you were wrong lol)

Step-by-step explanation:

We have: 2x - 10 = 65 - x

=> 2x - 10 + x = 65

=> 3x = 65 + 10 = 75

=> x = 75/3 = 25

P/S: After some little chats with the others, this might be wrong :(

The Jackson family went to eat at Applebees. Their bill came to $32.89. They gave the waiter a 15% tip. What was the total amount they paid for their bill?

Answers

$32.89

15% tip

Is $4.94

Making the total of the bill

$37.83

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THIS IT DUE TODAY and PLZ explain!!!!!1 question is first image2 question is second image3 question is third image what is the product of the complex number 3-4i and 6+I where I =-1 Which of the following most accurately describes the right of American citizens to privacy?A. The right to privacy is determined entirely by the states on a case-by-case basis.B. The right to privacy is explicitly granted in the Constitution.C. The Supreme Court has ruled that the right to privacy is implied in the Bill of Rights.D. There is no right to privacy, but the government seldom violates individuals' privacy because it is not necessary for it to do so. For there lay The Combs--the set of combs, side and back, that Della had worshipped long in a Broadway window. Beautiful combs, pure tortoise shell, with jewelled rims--just the shade to wear in the beautiful vanished hair. They were expensive combs, she knew, and her heart had simply craved and yearned over them without the least hope of possession. And now, they were hers, but the tresses that should have adorned the coveted adornments were gone. But she hugged them to her bosom, and at length she was able to look up with dim eyes and a smile and say: "My hair grows so fast, Jim! And them Della leaped up like a little singed cat and cried, "Oh, oh!" Jim had not yet seen his beautiful present. She held it out to him eagerly upon her open palm. The dull precious metal seemed to flash with a reflection of her bright and ardent spirit."Isn't it a dandy, Jim? I hunted all over town to find it. You'll have to look at the time a hundred times a day now. Give me your watch. I want to see how it looks on it." Instead of obeying, Jim tumbled down on the couch and put his hands under the back of his head and smiled."Della," said he, "let's put our Christmas presents away and keep 'em a while. They're too nice to use just at present. I sold the watch to get the money to buy your combs. And now suppose you put the chops on." The magi, as you know, were wise men--wonderfully wise men--who brought gifts to the Babe in the manger. They invented the art of giving Christmas presents. Being wise, their gifts were no doubt wise ones, possibly bearing the privilege of exchange in case of duplication. And here I have lamely related to you the uneventful chronicle of two foolish children in a flat who most unwisely sacrificed for each other the greatest treasures of their house. But in a last word to the wise of these days let it be said that of all who give gifts these two were the wisest. O all who give and receive gifts, such as they are wisest. Everywhere they are wisest. They are the magi. What type of irony is most evident in the excerpt above? Dramatic irony Situational irony Verbal irony None of the above