Will is w years old.
Ben is 3 years older.
1. Write an expression, in terms of w, for Ben's age.
Jan is twice as old as Ben.
2. Write an expression, in terms of w, for Jan's age.
If you add together the ages of Will, Ben and Jan the total comes to 41 years.
3. Form an equation and solve it to work out how old Will, Ben, and Jan are.

Answers

Answer 1

Answer:

Will is 8 years old, Ben is 11 years old, and Jan is 22 years old

Step-by-step explanation:

Since Ben is 3 years older, his age can be represented by w + 3

Jan is twice as old as Ben, so her age can be represented by 2(w + 3)

Set up an equation that adds up these expressions and sets it equal to 41:

(w) + (w + 3) + 2(w + 3) = 41

Simplify, add like terms, and solve for w:

(w) + (w + 3) + 2(w + 3) = 41

(w) + (w + 3) + (2w + 6) = 41

4w + 9 = 41

4w = 32

w = 8

So, Will is 8 years old.

Find Ben's age by adding 3 to this:

8 + 3

= 11

Find Jan's age by multiplying this by 2:

11(2)

= 22

So, Will is 8 years old, Ben is 11 years old, and Jan is 22 years old


Related Questions

Which of the following is not a function?
a. (1,1),(2,2), (3,3), (4,4)
b. (2,3), (2,4), (3,3), (3,4)
c (2,4),(4,8).(10,12). (4,10)
d. (2,4), (3,4), (5,4), (6,4)​

Answers

Answer: B

Number on the left: x-value
Number on the right: y-value

If there are 2 y-values for one x-value it is NOT considered a function.

For instance in the answer:

(2,3), (2,4), (3,3), (3,4)

You can clearly see that the x-values (2 & 3) repeat more than once; therefore, it is NOT a function.

On the other hand if you have 2 DIFFERENT x-values for the same y-value it IS A FUNCTION.

For ex D: (2,4), (3,4), (5,4), (6,4)

As you can see there are 4 DIFFERENT x-values with same y-value; therefore it is A FUNCTION

To make it easier:

If x-values appear more than once = NOT A FUNCTION

If x-values appear only ONCE = FUNCTION

Remember: y-values are ALLOWED to repeat

I hope this helps. If you have any questions please let me know in the comments.

The Mapleton Middle School band has 41 students. Six students play a percussion instrument. What percent of students in the band play a percussion instrument? Round your answer to the nearest tenth of a percent.

Answers

Answer:

the  percentage of the students in the band that play a percussion instrument is 14.6%

Step-by-step explanation:

The computation of the percentage of the students in the band that play a percussion instrument is as followS;

= number of students played percussion instrument ÷ total number of students

= 6 students ÷ 41 students

= 14.6%

Hence, the  percentage of the students in the band that play a percussion instrument is 14.6%

The same is relevant

Determine whether each number is a solution of the
given inequality.

6-n > 11
when n = -5

O YES (n = -5 is a solution of the inequality)
O NO (n = -5 is not a solution of the inequality)

Answers

Answer:

NO (n = -5 is not a solution to the inequality).

Step-by-step explanation:

Given

[tex]6-n-6>11-6[/tex]

Subtract 6 from both sides

[tex]6-n-6>11-6[/tex]

Simplify

[tex]-n>5[/tex]

Multiply both sides by -1 (reverse the inequality)

[tex]\left(-n\right)\left(-1\right)<5\left(-1\right)[/tex]

Simplify

[tex]n<-5[/tex]

Therefore, n = -5 is NOT a solution of the inequality because 'n' must be less than -5.

Hence,

NO (n = -5 is not a solution to the inequality).

Verification:

Given

[tex]6-n-6>11-6[/tex]

substitute n = -5

6 - (-5) - 6 > 5

6+5-6 > 5

5 > 5

FALSE

Patricia built 11 models every 33 hours. At that rate, how long, in hours, will it take to build 5 models? ​

Answers

15 hours is the answer
33 hours for 11 models divide that and it is 3 hours per model, 3x5=15
I think it’s 15 hours for 5 models

A number plus 17 is 25 algebraic expression

Answers

Answer:

x + 17 = 25

Step-by-step explanation:

x is "a number" and you just add it to 17. (Also the answer would be 8 if you need to solve it too)

The algebraic expression is x + 17 = 25 and the number is 8 if the number plus 17 is 25.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have:

A number plus 17 is 25 algebraic expressions:

Let x be the number:

x + 17 = 25

After solving:

x = 25 - 17

x = 8

Thus, the algebraic expression is x + 17 = 25 and the number is 8 if the number plus 17 is 25.

Learn more about the expression here:

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Each of the 20 employees in an office took a 60 point test on office safety. The test scores are listed in the table below. Which histogram best represents the data in the table

Answers

Answer:

There is no table

Step-by-step explanation:

But to construct a histogram, we use frequence on the y-axis and class boundaries on the x-axis

Water forms______
when it is cold.

Answers

the answer is SNOW have a great day :)

Answer:

As a Solid

Step-by-step explanation:

Examples

river icesea icehail

Complete the ratio. 78 chairs in 6 rows : ______ chairs in 1 row.

Answers

Answer:

13 chairs in one row

Step-by-step explanation:

i don't know how to explain bi have given you the answer already goodbye

I'm so confused. Helpppp.

Answers

2 dollars, because it’s the only factor that changes and is not constant. 10 would be how much they charge for him to buy the pass, then 2 dollars per visit after.

i need help with this one

Answers

Answer:

Domain[-5, 11]

Step-by-step explanation:

Domain of a graph or function is defined by the x-values (Input values).

From the graph attached,

Since, the graph starts from x = -5 and ends at x = 11,

(Shown as the dark points)

Therefore, domain of the graph will be represented by,

Domain → [-5, 11]

Item 10
Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the award?

Answers

Answer:

21 Students

Step-by-step explanation:

140 x .15 = 21

PLEASE HELP, is this graph parallel, perpendicular or neither?

Answers

Answer:

Step-by-step exp  perpendicular becaus it makes a 90 degree angle

Solve the system of linear equations by substitution. 4x−2y=14 y=12x−1

Answers

Answer:

Step-by-step explanation:

16

-7(8) =


























Spam:$:$:$:!:!;!;!,!,!,,!!,,!,!,!,!,!,!

Answers

Answer:

-56

Step-by-step explanation:

-7 x 8= -56

Please help!

Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses

b. 2x - 7 and the opposite of 2x

Answers

Step-by-step explanation:

We need to write the sum of 2x - 7 and the opposite of 2x

Opposite of 2x is (-2x)

Sum means to add the number :

2x-7 + (-2x)

Remove parentheses,

2x-7 - 2x

Taking like terms together,

2x-2x-7= 0-7

= -7

Hence, the answer is -7.

whats slope intercept form for 2x- 5y=10

Answers

Answer:

y=-2/5x-2

Step-by-step explanation:

First, you put x to the other side of the equation so you get y alone, getting the equation of -5y=-2x+10. In order to just have y on one side, you need to divide the whole equation by -5. This leads to the final answer of y=-2/5x-2.

What is the midpoint of the segment shown below?
10
(-1,5)
O A. (-3.3)
B. (-7,3)
. 10
10
(-6, -2)
O C. (-7, )
O D. (
-3)
10
SUBMIT

Answers

Answer: D. (-7/2,3/2)

Step-by-step explanation: (apx)

The midpoint of the segment shown below is option D. (-7/2, 3/2).

What are the Coordinates?

Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.

Given a line segment with the given coordinates for the end points.

Midpoint of a segment with end points (x, y) and (x', y') is,

Midpoint = ((x + x') / 2, (y + y') / 2)

Here the end points of the segment are (-6, -2) and (-1, 5).

Midpoint of the segment = ((-6 - 1) / 2, (-2 + 5) / 2)

                                         = (-7/2, 3/2)

Hence the mid point of the segment is (-7/2, 3/2).

Learn more about Midpoint of Segments here :

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Which equation below does NOT represent a function?

A
y = -4

B
y = x2 + 1

C
x2 + y2 = 6

D
y = 2x + 5

Answers

Answer:

C

Step-by-step explanation:

x2+y2=9 is an example of a non function because there is at least one x value with two or more y values .

The equation below does NOT represent a function is D x² + y² = 6

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) .

x² + y² = 9 is an example of a non function because there is at least one x value with two or more y values .

Now, y = 4

y = x - 4

y = x^2 - 4

Also, x² + y² = 6

This is not a function as there should be minimum one x value with two or more y values. this equation does not meet the criteria so this represent non-function.

Learn more about function here:

https://brainly.com/question/2253924

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19) Find the acros F(x) = x4 + 8x? -​

Answers

Answer:

F'(x)=4x3+16x

Step-by-step explanation:

Looking at the problem what’s the difference between the two highlighted please I’m Russian and don’t understand English every well

Answers

one is a coefficient ! other is normal number

Answer: Разница между ними восемь

Step-by-step explanation:

Ethan is planning flowers in boxes East flower box can hold 4 Ethan wants to plan 38 red flowers and 33 white flowers in the flower boxes what is the fewest number of flower boxes he would need to plant all the flowers

Answers

Answer:

18 flower boxes

Step-by-step explanation:

Given that:

Capacity of each flower box = 4

Number of flowers to plant :

Red = 38

White = 33

Total = (38 + 33) = 71 flowers

Fewest number of flower boxes needed to plant all flowers :

Total flowers to plant / capacity of each plant

71 / 4

= 17.75

= 18 boxes

What is the measure of an interior angle of a regular nonagon?

Answers

Each angle of a regular nonagon is of 140°. A nonagon in which all sides are not equal and all angles are not equal. The measure of it’s angles are different but total sum of all its interior angles is always 1260°.

Two people jog at the speed of 6 km/hr (Person 1) and 4 km/hr (Person 2). What is
the distance covered by each one of them when they run a total of 2 hours?

Answers

Answer:

Person 1 run a total of 12 km. Person 2 run a total of 8 km.

Step-by-step explanation:

Person 1 = 6 km/hr x 2

6 x 2= 12 km

Person 2 = 4 km/hr x 2

4 x 2= 8 km

Solve the proportion 20/3 = ?/6.

Choose the correct option.
A) 10
B) 23
C) 40
D) 120

Answers

Answer:

c.40

Step-by-step explanation:

the answer is 40 your welcome

Can someone find the slopes of these two please?

Answers

Answer:

you put the points into the slope formula and solve : (y2-y1)/(x2-x1)

1. (4 -1) / (-2 -3)

3 / -5

2. (-1 -(-2)) / (5 - 0)

(-1 +2) / 5

1/ 5

Step-by-step explanation:

i hope this helped :)

Answer:

the first slope is 3/-5

the second one is 3/5

Step-by-step explanation:

Which is better deal and why:) help ASAP plz!?

Answers

Answer:

$36.00 is better because you get 54 apples

Step-by-step explanation:

36÷9= 4*12=48

Tell whether the expressions modeled below are equivalent. Explain how you know.
+
+
+
2(x-3)
2x-3

Answers

Answer:

they're not

Step-by-step explanation:

when you distribute the 2 into (x-3) you get 2x-6

and thats not equivalent to 2x-3  

NEED DONE BY 8 PLEASE HELP!!

Answers

Answer:

a. 8 y/s; divide 40(distance) by 5(time)

b. 1/8 2/16 3/24 4/32 5/40 6/48 7/56; multiply speed and time ex. 8×1=8; 8×2=16; 8×3=24 and so on

c. 80 yards; multiply time and distance 8×10

will give brilintest if u answer correctly plz

Answers

Answer:

D. (3, 4, 5)

Step-by-step explanation:

[tex]5 = \sqrt{ {(3)}^{2} + {(4)}^{2} } \\ 5 = \sqrt{9 + 16} \\ 5 = \sqrt{25 } \\ 5 = 5[/tex]

D.3,4,5 is the correct answer

2.50+0.50=21 help meeeeeeeeeee

Answers

Answer:

You are missing some of the equation my dude

Step-by-step explanation:

The answer is 3.00 not 21
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