Kenneth is 10 years older than Andrew. Billy is 2 times as old as Andrew. Cameron is 8 years younger than Andrew. The combined age of the four is 77. How old is each boy?​

Answers

Answer 1

Answer:

[tex]a=15\\b=30\\c=7\\k=25[/tex]

Step-by-step explanation:

[tex]77=a+k+b+c[/tex]

[tex]b=2a[/tex]

[tex]c=a-8[/tex]

[tex]k=10+a[/tex]

[tex]77= a+2a+(a-8)+(a+10)[/tex]

[tex]77=3a+(2a+2)\\77-2=3a+2a\\75=5a\\[/tex]


Related Questions

Find x: 2(4x − 3) − 8 = 4 + 2x

Answers

x = 3

2(4x - 3) - 8 = 4 + 2x

1. Distribute

8x - 6 - 8 = 4 + 2x

2. Collect like terms

8x - 14 = 4 + 2x

3. Collect like terms again (add 14 and subtract 2x)

6x = 18

4. Divide by 6

x = 3
Expand the bracket to get 8x - 6 - 8= 2x + 4
Take away 2x from both sides:
6x - 6 = 4
Add 6 and 8 to both sides and you end up with
6x = 18
Now for this step you divide both sides by 6 so that the coefficient of x is 1. You end up with x = 3. Hope that this helps and have a great rest of your day.

Find the lowest common multiple of 15 and 12

Answers

Answer:

its 60

Step-by-step explanation:

Given quadrilateral DEFG is an isosceles trapezoid. Find DE.
D
4x - 2
E
2x + 5
3x + 2
G
5x - 3

Answers

Answer:

n  n n n n n n n n  

Step-by-step explanation:

b b b  b b b b b b b  b b b b b b b

Write the slope of the line passing through the two points: A(–1,4) and B(2,−2).

Answers

Answer:

slope = -2

Step-by-step explanation:

Answer:

Step-by-step explanation:


The sum of two numbers is 48. If the second number is 6 less than the first, what
is the value of EACH of the numbers?

Answers

Answer:

let the first no. be x

then the second no. = x - 6

their sum is 48

therefore,

[tex] = > x + (x - 6) = 48 \\ = > 2x = 48 + 6 \\ = > 2x = 54 \\ = > x = \frac{54}{2} \\ = > x = 27[/tex]

The value of first no. = x = 27

The value of second no. = x - 6 = 27 - 6

= 21

Find the y intercept of 12x-6y=36. No ordered pair. Numeric value only. pls help!!

Answers

Answer:

The y-intercept is (0,-6), but the way they want it written the answer is y intercept= -6

Step-by-step explanation:

PLZ HELP! Oliver is 8 feet above the surface of the water. There is a school of fish 10 feet below the surface. A ledge with some seashells is 18 feet below the​ surface, and even​ deeper, there is a shipwreck 32 feet below the surface. Answer parts a and b.
a. How many feet will Oliver have to travel to get to the​ seashells?
Oliver will have to travel ? feet down

Answers

Answer:

26 feet, Oliver will have to travel 26 feet deep.

Step-by-step explanation:

8 feet added to 18 feet will be your answer.

Answer:26 feet, Oliver will have to travel 26 feet deep.

Step-by-step explanation:Okay so if you draw a line graph going vertical and you number it 1-32 ( this is if you have to show work ) a is a 11 feet deeper and b is 23 feet deeper

1.2.8 -0.9+y
Your answer

Answers

0.06+y simplify the expression

Find last year’s salary if, after a 5% pay raise, this year’s salary is $40,950

Answers

Answer:

3900

Step-by-step explanation:

40950/1.05

Answer:

3900 I think

the 1 st one is corect

A skating rink charges a group rate of $9.25 plus a fee to rent each pair of skates. A family rents 7 pairs of skates and pays a total of $39. How much does it cost to rent one pair of skates?

Answers

Answer:

4.25$ per pair of skates

Step-by-step explanation:

Subtract 9.25 from 39. You get 29.75. Just divide 29.75 by 7 and you get 4.25

Deanna estimated the product of 6.45 and 10.2 below.

(6.45) (10.2) almost-equals 6 times 10 = 60

How does the estimate compare to the exact product?
The estimate is high because both factors are rounded down.
The estimate is low because both factors are rounded down.
The estimate is high because both factors are rounded up.
The estimate is low because both factors are rounded up.

Answers

Answer:

B

Step-by-step explanation:

I took the test

Answer:

B

Step-by-step explanation:

i took the test and edg as well TvT

POSSIBLE POINTS 6
Jamal has a plan to save money for a trip Today, Jamal deposits $10.00 into the savings account Each week, Jamal will add $5.00 to the amount that
is deposited into the savings account. The table below shows the relationship between the number of weeks and how much money, in dollars, Jamal
deposits into the savings account
Week
0 1 2. 3 4
Deposit (dollars) 10 15 20 25 30
Let f ()represent the amount of money Jamal deposits into his savings account at the end of 2 weeks. Based on the table, what is f(10)
A
0
С
50
B
10
D 60

Answers

Answer:

D 60

Step-by-step explanation:

f(5)=35

f(6)=40

f(7)=45

f(8)=50

f(9)=55

f(10)=60

Answer:

d 60

Step-by-step explanation:

A florist prepares an order of daisies and roses. For every 5 daisies, she orders 2 roses. What two equations show the relationship between the number of daisies and the number of roses.

Answers

Answer:

The answer is 10

Step-by-step explanation:

it says for every 5 daisies and 2 roses it like getting 2 and putting it into 5 groups which equals

10.

-7 1/3 > -11 1/4
true or false?!?

Answers

-7.33 > -11.25
True because -11.25 is smaller than -7.33.

Answer:
True

30-40 POINTS PLEASE HELP ME!!!!!!!!!!!!!! ITS VERY QUICK JUST PLS HELP TY



The figure shows the letter W and four of its transformed images—A, B, C, and D:




Which of the four images was formed by a reflection of the letter W?



A

B

C

D

Answers

Answer:

I would say D. for your answer.

Step-by-step explanation:

it wouldn't be upside down now would it?

Also just write it on a paper and flip it over. (Write it dark to see it better)

Hope this Helped

<3

I think is D

PLEASE MARK ME AS BRAINLIEST

Jacob and Quinn are reading a book together. Jacob has read 5 more than 2 times the number of pages that Quinn has. Together they have read 107 pages. How many pages have they both read?

Answers

Quinn read 34 pages and Jacob read 73 pages.

Solve the inequality 5x + 3 > 48

Answers

Answer:

Step-by-step explanation:

5x + 3 > 48

5x > 48 - 3

5x > 45

x > 45/ 5

x > 9

Answer:

x = 9

Step-by-step explanation:

5x + 3 > 48

Subtract 3 to both sides

5x > 45

Divide by 5 to both sides

x = 9

To check if the answer is correct, you can always plug in 9 instead of x and solve the equation.

Hope this helps and pls do mark me brainliest if you can:)

An item is regularly priced at $40. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?

Answers

Answer:

5$ is discounted from the regular price.

Which ordered pair is a solution of the equation y=-3x+1?
A. (-4,-31)
B.(10,-26)
C.(2,-5)

Answers

C. -3 times 2 is -6. Then -6 plus 1 is -5.

Triangle ABC has the following angle measures; The measure of angle B is 38, the measure of angle C is 56, what is the angle measure for angle A?

Answers

A triangle 3 sides has to equal 180° so subtract 94 from 180 and get 86°

Marny can type 20 words in 1/3 of an hour. How many words can she type per hour? *​

Answers

Answer:

60 words

Step-by-step explanation:

20*/X3=60

Answer:

60 words

1/3 of an hour is 20 minutes

20 words every 20 minutes is 1 word per minute, 60 minutes is 60 words.

OR

20 = 1/3 (hour)

x3

60= 1 (hour)

Need help ASAP!! Tysm

Answers

Answer:

60 cm

Step-by-step explanation:

remember, the area of a triangle is found by

1/2 b h

or half of the base times the height

so using that plug in the values:

the base is made of two 5s;  2* 5 is 10 so the base is 10cm long

the height is 12cm

so

1/2 * 12 * 10

= 6 * 10

= 60

Answer:

I think its 60

Step-by-step explanation:

To find the area of a triangle you do (height x base) divided by 2

5+5=10

12 x 10 = 120

120 divided by 2 is 60

The result of adding 1 to 5 times a number is 31. Find the number

Answers

Answer:

5 times 6 plus 1 is equal to 31. so the answer is 6

Step-by-step explanation:

5*x+1=31

31-1=30

30/5=6

Answer: 6

Step-by-step explanation: The equation is 5x+1=30

-1 -1

5x=30

X=6

Help me pleasee............

Answers

The picture is blurry I can’t see it well

Answer: 30

Step-by-step explanation:

100-70=30

Easy math for you

a & b

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

There is a common difference d between consecutive terms, that is

d = 12 - 0 = 24 - 12 = 36 - 24 = 48 - 36 = 12

This indicates the sequence is arithmetic with common difference 12

(b)

To obtain the next term add 12 to the previous term, that is

48 + 12 = 60 and 60 + 12 = 72

The next 2 terms in the sequence are 60 and 72

Answer:

if it easy math you do it = 12 times

Step-by-step explanation:

12 24 36 48 / 60 72 84 96  108 120 132 144

Solve the system below by substitution.
6x - y = - 23
2x + 5y = -13

Answers

Answer:

x= -4 y= -1

Step-by-step explanation:

6x - y = - 23

-y=-23-6x

y=6x+23, use this to plug in for y in the second equation.

2x + 5y = -13

2x + 5(6x+23) = -13

2x+30x+115=-13

x= -4, use this to plug in for x in the first equation.

6x - y = - 23

6(-4)-y=-23

-24-y=-23

-y=-23+24

-y=1

y= -1

The values after solving the equations by substitution is that the value of x is -4 and the value of y is -1.

What is an arithmetic operation?

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the provided data in the question,

6x - y = -23  (i)

2x + 5y = -13  (ii)

Multiply equation (ii) by 3

6x + 15y = -39 (iii)

Solve equation (i) and (iii)

-16y = 16

y = -1

Substitute y = -1 in equation (i)

6x = -23 - 1

x = -4.

To know more about arithmetic operation:

https://brainly.com/question/13585407

#SPJ2

The seats on the right side of the school bus fit two students each. The seats on the left side of the school bus can fit three students each. There are 14 rows of seats. Eight students can fit in the very back seat. How many people can ride the bus at one time (Remember to count every person)?

Answers

Answer:

79

Step-by-step explanation:

From Question, we are told that, there are 14 rows of seat with is divided into left hand side and right hand side

Seats by the right = fit two people

Seats by the left = fit three people

This means, 1 row of seat can contain 5 persons

The back seat = 8 people can sit comfortably.

Hence, the number of people that can ride the bus at one time =

(14 × 5 people) + 8 people (backseat) + 1 driver

= 70 + 8 + 1

= 79 people

Over the course of a month, caught three times as many squirrels as deer. She also caught five less rabbits than squirrels. The total number of animals she caught is ten more than four times the number of deer caught. How many rabbits did Katniss catch?

Answers

Answer:

The number of rabbits Katniss caught = 10 rabbits

Step-by-step explanation:

The number of squirrels Katniss caught = 3 × (The number of deer she caught)

The number of rabbits Katniss caught = The number of squirrels she caught - 5

The total number of animals she caught = 10 + 4 × (The number of deer she caught)

Let the number of deer Katniss caught = D

∴ The number of squirrels she caught = 3×D

The number of rabbits Katniss caught =  3×D - 5

The total number of animals she caught = 10 + 4 × D

Therefore, we have;

The number of squirrels she caught + The number of deer she caught + The number of rabbits she caught = 10 + 4 × D

3×D + D + 3×D-5 = 10 + 4 × D

7·D - 5 = 10 + 4·D

7·D - 4·D = 10 + 5

3·D = 15

D = 15/5 = 5

∴ The number of deer Katniss caught = D = 5

The number of rabbits Katniss caught =  3×5 - 5 = 10

The number of rabbits Katniss caught = 10 rabbits.

a jeweler is using 10 pounds of alloy that is 2% platinum. He wishes to combine these mixtures to form a mixture that is 3% platinum. How many pounds of the second alloy should be added to the first to get a mixture that is 3% platinum

Answers

Answer:

You can't solve this unless you have the amount of the other alloy.

Step-by-step explanation:

For example, the question should be something like:

A jeweler is using 10 pounds of alloy that is 2% platinum. He has another alloy that is 5% platinum. He wishes to combine these mixtures to form a mixture that is 3% platinum. How many pounds of the second alloy should be added to the first to get a mixture that is 3% platinum?

The function g(x) is a transformation of the cube root parent function, f(x) = \sqrt[3]{x}f(x). What function is g(x)?

Answers

Answer: D

Step-by-step explanation:

First, remember two things about translations.

For a function f(x).

A horizontal translation to the right of N units is written as:

f(x - N)

A vertical translation up of N units is written as:

f(x) + N.

Now let's look at the graph.

You can see that:

g(x) is: 4 units at the right of f(x) and 3 units bellow f(x).

Then we have:

g(x) = f(x - 4) - 3.

and f(x) = ∛x

then g(x) = ∛(x - 4) - 3

The correct option is D.

The function g(x) is transformed from the function f(x) by translating function f(x) by 4 units in the right direction and then by translating that graph 3 units in a downward direction.

Given :

Function --   [tex]\rm f(x) = \sqrt[3]{x}[/tex]

The following steps can be used to determine the unknown function g(x):

Step 1 - According to the given graph, translate function f(x) 4 units in the positive x-axis that is in the right direction.

Step 2 - Now, again according to the given graph, translate function f(x) 3 units in the downward direction that is in the negative y-axis.

Step 3 - The resulting graph is the graph of the function g(x). Whose equation is written as:

[tex]\rm g(x) = \sqrt[3]{x-4} - 3[/tex]

So, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/4700926

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