Mathematics Middle School

Robbie, Jennie, Willie, and Kylie played a numbers game. Jennie picked a number but did not tell her friends. Robbie and Willie both picked a number as well, and Jennie described their numbers like this to Kylie.

Robbie picked a number that is nine more than four times Jennie's number.
Willie picked a number that is two less than three times Robbie's number.

Deciding to call her number, n, Jennie asked Kylie to write an expression that describes Willie's number.

Kylie came up with two expressions that equal Willie's number.

What are the equations?

Answers

Answer 1

Answer:

1. 3(4n+9)-2

2. 3*13n-2

Step-by-step explanation:(*)This symbol that looks like a little star means multiplication.

Answer 2

The two equations that describe Willie's number are W = 12J + 25 and W = 12J + 34

What is Expression?

An expression is combination of variables, numbers and operators.

Robbie's number = 4J + 9, where J is Jennie's number.

Now we can use this expression to find Willie's number:

Willie's number = 3(4J + 9) - 2 = 12J + 25

So one equation that describes Willie's number is:

W = 12J + 25

Kylie found another expression that equals Willie's number, so we can find it by solving for J in Robbie's expression and substituting it into Willie's expression:

Robbie's number = 4J + 9

4J = Robbie's number - 9

J = (Robbie's number - 9)/4

Substitute this expression for J into Willie's expression:

W = 12J + 25

W = 12[(Robbie's number - 9)/4] + 25

W = 3(Robbie's number - 9) + 25

W = 3(4J + 9 - 9) + 25 (substituting 4J + 9 for Robbie's number)

W = 12J + 34

So another equation that describes Willie's number is:

W = 12J + 34

Therefore, the two equations that describe Willie's number are W = 12J + 25 and W = 12J + 34

To learn more on Expressions click:

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Related Questions

Determine if the number is written in scientific notation. If not, explain. 4.8 × 1007

Answers

it is not because you do not have 10 to the something.

A triangle has an area of 180 square inches and a base of 18 inches. What is the height?

Answers

We can find the height using the area formula.

A = 1/2(b)(h)
180 = 1/2(18)(h)
180 = 9h
20 = h

Your gross pay is $1,843.45. Your involuntary deductions are FICA (7.65%), federal withholding (9%), and state withholding (6.5%). How much are you allowed for housing and fixed expenses?

Answers

0.0765+0.09+0.065=0.2315
1,843.45(0.2315)=426.76
1,843.45-426.76=1,416.69

$1,416.69 for housing and expenses

Answer:

510.01

Step-by-step explanation:

Rewrite the following equation in slope-intercept form. 17x + 4y = -14 Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:
y = [tex] \frac{-17}{4} x[/tex] - [tex] \frac{7}{2} [/tex]

Explanation:
The slope-intercept form of an equation has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept

The given is:
17x + 4y = -14

To put this in slope-intercept form,we will need to isolate the y as follows:
17x + 4y = -14
4y = -17x - 14
y = (-17/4)x - (14/4)
y = [tex] \frac{-17}{4} x[/tex] - [tex] \frac{7}{2} [/tex]
where:
m is the slope = -17/4
c is the y-intercept = -7/2

Hope this helps :)

17x+4y = -14
Y= 0
17x = -14
X=-14/17

X=0
4y= -14
Y= -14/4

if you roll a fair six-sided number cube twice. what is the probability that the first roll is a 5 and the second is a 6?

Answers

1/6*1/6=1/36
answer is 1/36

A round table has a diameter of 28 inches. What is the area of the tabletop? Use 22/7 for 3.14.

Answers

A=πr^2=π·14^2≈615.75216

Which number is IRRATIONAL? A) 64 B)81 C) 96 D) 144

Answers

96 because it is the only one that cant be rooted evenly

Plz help with this! Thx for the help

Answers

if my math is correct each gallon comes up to about 34 miles travelled, for 544 it would be 16 gallons and for 1 it would be 34, so if you keep adding to this on 7 gallons it will be 238 on 10 it would be 340

102 % 3 is 34 so 1 is 34 and you just tunes the gallons by 34 for the answer so ex(7X34=238) I hope this explanation helps you!

What is -15.4 + 25.2+(-10.4)

Answers

the answer is -0.6 (:

-0.6
-15.4 + 25.2 = 9.8

9.8 + (-10.4) = 0.6

Hope this helped. :)

Write a linear equation to represent her distance at any time

Answers

Kayleens average speed is 70 miles per hour.

Her average speed was 70 MPH because 208 miles Divided by 4 because the time was 4:00 equals 70 so the answer is 70 mph

PLZ GIVE ME BRANLIEST

Kylie is on a swing the swing moves back and forth every 5 seconds. About how many minutes would it take Kylie to go back and forth one hundred times? Can you help me figure the minutes out in a fraction?

Answers

31/2 is what i got....its like 87% right

The fraction of the total time in minutes is therefore 8 1/3 minutes, which is equal to 25/3 minutes when expressed as an improper fraction.

To determine the amount of time it would take for Kylie to swing back and forth 100 times, we must first understand that the period of the swing, the time it takes to complete one full cycle back and forth, is 5 seconds. Therefore, we can calculate the total time for 100 swings by multiplying the period by the number of swings:

Total time (seconds) = Period (seconds per swing) * Number of swings

Total time (seconds) = 5 seconds/swing * 100 swings

Total time (seconds) = 500 seconds

To convert seconds into minutes, we divide by the number of seconds in a minute, which is 60:

Total time (minutes) = Total time (seconds) / 60 seconds/minute

Total time (minutes) = 500 seconds / 60 seconds/minute

Total time (minutes) = 50/6 or approximately 8 minutes and 20 seconds.

The fraction of the total time in minutes is therefore 8 1/3 minutes, which is equal to 25/3 minutes when expressed as an improper fraction.

HELP ASAP PLEASEEEE WILL GIVE BRAINLIEST!

Answers

_
ab i think that is the answer

I'm pretty sure your answer is AB.

Cylinders A and B are congruent. Cylinder A has a volume of 27π cm3 and a height of 3 cm. What is the area of the base of cylinder B?

Answers

To find this answer you would use the formula for finding the volume of a cylinder. Because both of these cylinders are congruent, the area of the base for cylinder A I would also be the same area for cylinder B. V=pi x r^2 x h. When we substitute in what we know this is the new equation: 27 x pi = pi x r^2 x 3. Divide both sides by three and pi. This gives us 9 = r^2. Take the square roots of both sides to find the radius. The answer would be 3. Now use the formula for area of a circle to find the area of the base of cylinder B. A= pi x r^2. So the area would be 9 x pi.

Answer:

9pi

Step-by-step explanation:

Sarah needs to buy 3 identical shirts to wear. She had $15 gift certificate. Including using the gift certificate, she can spend no more than $80. Which inequality can be used to determine the possible costs for a shirt ?

Answers

Let the cost of a shirt be s.

Three shirts = 3s.

3s + 15 ≤ 80 (Answer F)

Final answer:

The inequality that can be used to determine the possible costs for a shirt is 3x ≤ 65, where x represents the cost of each shirt. Therefore, the possible costs for a shirt must be less than or equal to $21.67.

Explanation:

To determine the possible costs for a shirt, we can use the inequality 3x ≤ 80 - 15,

where x represents the cost of each shirt. The left side of the inequality, 3x, represents the total cost of the 3 shirts. The right side of the inequality, 80 - 15,

represents the amount Sarah has left to spend after using the gift certificate.

Simplifying the inequality, we get 3x ≤ 65.

To find the maximum cost for each shirt, we divide both sides of the inequality by 3, giving us x ≤ 21.67.

Therefore, the possible costs for a shirt must be less than or equal to $21.67.

Learn more about Inequality here:

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Is 6,12,24 arithmetic or geometric?

Answers

Geometric, hope this help

Someone please help me with number 16

Answers

Answer:
Area of wall = [tex] 94 \frac{47}{48} [/tex] ft

Explanation:
First, we know that:
1 in = 1/12 ft
Therefore, the dimensions of the wall would be as follows:
H = 7 ft 10 in = [tex] 7 \frac{10}{12} [/tex] ft
B1 = 10 ft 2 in = [tex]10 \frac{2}{12} [/tex] ft
B2 = 14 ft 1 in = [tex]14 \frac{1}{12} [/tex] ft

For the trapezium, area can be calculated using the following the following formula:
Area of trapezium = Average base * height = [tex] \frac{B1 + B2}{2} [/tex] * height

Substitute with the given to get the area as follows:
Area of wall = ([[tex]10 \frac{2}{12} [/tex] + [tex]14 \frac{1}{12} [/tex]] / 2) * [tex] 7 \frac{10}{12} [/tex]
Area of wall = [tex] 94 \frac{47}{48} [/tex] ft

Hope this helps :)

50 POINTS AND BRAINLIEST! :) :) :)

Write an equation that you can use to solve for x.

Enter your answer in the box.

Answers

Hey there! :D

So, the angle measuring 100 degrees is supplementary to the angle that is adjacent to it, next to the one that is 60 degrees.

180-100= 80

It is 80 degrees.

80+60+x= 180

140+x= 180

Subtract 140 on both sides.

x=40

40 is the answer.

I hope this helps!
~kaikers

80+60=140
180-140=40
X=40
This would help

HELP Me A marker is randomly selected from a drawer that contains 20 green, 44 orange, and 30 blue markers. Which statement is true?

P(orange)≈0.53

P(green)≈0.21

P(blue)≈0.41
Thank you

Answers

To find the odds first find the total 20+44+30=94 and find the odds so there are 44 orange markers that is 44/94
44/94 as a decimal is .468 so the first one isn't true
green is 20/94 as a decimal is 0.21
so the second option or the green one is true

Answer:

P(green)=0.21

Step-by-step explanation:

I got it right on a test :)

Please consider brainliest (I never got brainliest before)

2(3r+7)−(2+r) write an equivalent expression
a. 4r+12
b. 5r+13
c.5r+12
d.5r-12

PLEASE HELP!!

Answers

The Answer is c: 5r+12

Proof:

Simplify the following:
2 (3 r + 7) - (r + 2)

2 (3 r + 7) = 6 r + 14:
6 r + 14 - (r + 2)

-(r + 2) = -r - 2:
14 + 6 r + -r - 2

Grouping like terms, 14 + 6 r - 2 - r = (6 r - r) + (14 - 2):
(6 r - r) + (14 - 2)

6 r - r = 5 r:
5 r + (14 - 2)

| 1 | 4
- | | 2
| 1 | 2:

Answer: 5 r + 12

Hey there! :) The easiest way to find an expression equivalent to our given one, we can very simply simplify the given expression.

2(3r + 7) - (2 - r)

Simplify.

6r + 14 - 2 - r

Add like terms.

(6r - r) + (14 - 2)

Simplify.

5r + 12

Look at our given answer choices.

Our answer is c. 5r + 12

~Hope I helped!~

a 12 foot tall building casts on 8 foot long long shadow. how long of a shadow will a 5 foot tall women have

Answers

This is just a basic proportion. 5/8 = x/12. So the 5 foot tall women would have a 7.5 foot shadow.

Final answer:

Using the concept of similar triangles and the given ratio of a building's height to its shadow, it was calculated that a 5-foot tall woman would cast a shadow that is approximately 3.33 feet long.

Explanation:

The question deals with similar triangles where the ratio of the height of an object to the length of its shadow is constant if the sun's rays are considered to be parallel. Given that a 12-foot tall building casts an 8-foot long shadow, we can use this ratio to determine the length of the shadow that a 5-foot tall woman will cast.

First, find the ratio of the building's height to its shadow's length:

Height of the building / Length of shadow = 12 feet / 8 feet = 1.5

Since the ratio should remain the same, we can set up a proportion for the woman:

Height of the woman / Length of her shadow = 5 feet / x (the unknown length of the shadow)

Now solve for 'x' using cross multiplication:

12 / 8 = 5 / x12*x = 5*8x = (5*8) / 12x = 40 / 12x = 3.33 feet (approximately)

Therefore, the shadow cast by the 5-foot tall woman will be approximately 3.33 feet long.

the circumference of a circle can be found using the formula c = 2r

Answers

No its c=2piR

Cant use pi sybol

Answer: the answer is c: R=C/2pi

I can't do the pi simbol

a cylindrical container can hold about 1,256 cubic inches of water.the diameter of the cylinder is 10 inches long.approximate the height of the cylinder to the nearest inch.use 3.14 to approximate the value for pi
A.16
B.80
C.40
D.4

Answers

Answer: A. 16 inches

Step-by-step explanation:

The volume of the cylinder is given by :-

[tex]\text{Volume}=\pi r^2h[/tex]

Given: Diameter of cylinder = 10 inches

Thus, radius of cylinder = [tex]\frac{10}{2}=5\ inches[/tex]

Let h be the height of the cylindrical container.

Then , The volume of the cylindrical container is given by :-

[tex]1256=\pi (5)^2h\\\\\Rightarrow\ h=\frac{1256}{5^2\pi}\\\\\Rightarrow\ h=\frac{1256}{25\times3.14}\\\\\Rightarrow\ h=16}[/tex]

Hence, the height of the cylindrical container = 16 inches.

Answer:

16 in.

Step-by-step explanation:

helllllllllllp meeeeeee

Answers

The constant of proportionality in terms of the cost per text is the coefficient of [tex]t[/tex] in the equation [tex]b=0.25t[/tex]. Since the coefficient of [tex]t[/tex] is 0.25, the constant of proportionality in terms of the cost per text is 0.25.
Proportionality constants are usually expressed as fractions, so lets convert 0.25 to a fraction. To do that we are going to add the denominator 1 to our decimal, and then we will multiply both numerator and denominator by ten for every number after the decimal point:
[tex] \frac{0.25}{1} [/tex]
[tex] \frac{0.25}{1} . \frac{100}{100} = \frac{75}{100} [/tex]
Finally, we can simplify our fraction:
[tex] \frac{25}{100} = \frac{1}{4} [/tex]

We can conclude that the constant of proportionality in text of the cost per text is 1/4

HELP WILL MARK BRAINLIEST!!!!!!!!
Three angles in a quadrilateral measure 31º, 83º, and 146º. What is the measure of the fourth angle?

A. 82º

B. 97º

C. 100º

D. 112º

Answers

You'd need to know the degrees of a quadrilateral which is, 360 degrees.

I'm going to represent x as the degrees we need to find:

31+83+146+x=360

*add like terms*

260+x=360
x=100

The degrees of the angle is 100 degrees. Therefore, your answer is choice C.

Hey can someone please tell me what the formula for a square pyramid is but in the simplest way possible?.?.?. (because I'm dumb a s f ;) )

Answers

volume = 1/3 sides squared times the height

a) Solve the first equation, -3A + 3 = -24, to find the coordinate of Point A. Show your work. (2 points)

Answers

-3A +3 = -24

Divide by -3
  A -1 = 8
Add 1
  A = 9

write 30% as a fraction in its simplest form

Answers

Hello there!

30% would be 0.3 of 1.

If this would be the case, we would then simplify this into a fraction and make it look like 3/10.

We do this because 30% is .3 of 1, like we already considered, and because of this, 10=1, and 3=30%.

Your answer: 3/10

[tex]\boxed{3/10}[/tex]

30% as a fraction in simplest form is 3/10.

What is a fraction?

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In this exercise and scenario, we would convert the given decimal number 0.65 into a fraction by converting it into a percentage as follows;

0.65 = 65/100

By dividing both sides by 5, we have:

Fraction: 65/100 = 13/20.

Read more on fraction here: brainly.com/question/29367657

#SPJ634% as a fraction in simplest form is: D. 17/50.

What is a fraction?

In this exercise and scenario, we would convert the given percentage 30% into a fraction by dividing as follows;

30% = 30/100

By dividing both the numerator and denominator by 10, we have:

Fraction: 30/100 = 3/10.

Read more on fraction here: brainly.com/question/29367657

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Then I am mile in 6.54 minutes round this number to the nearest minute

Answers

Round 6.54 to the nearest minute. Ok. Now it makes sense.

To the nearest minute means to the nearest ones.

So, 6.54 becomes 7.

Answer: 7 minutes.

There are 9860 students in a population of 62400 people what percent of the total population is students

Answers

15.8%

Hope this helped!

A cylindrical rain barrel with a diameter of 2.5 feet and a height of 3.5 feet is filled to a height of 1.5 feet. How many more gallons of water can the barrel hold? Round your answer to the nearest whole number. (1 ft3≈7.5 gal)

Answers

To answer this question you will need to find the total volume the rain barrel can hold. Then find the volume of water that it is currently holding.

Subtract these two amounts to find the total amount of water or can still hold.

Then convert this amount to gallons.

1. V = pi x r^2 x h
3.14 x 1.25^2 x 3.5
V = 17.17 cubic feet

2. Same formula
3.14 x 1.25^2 x 1.5
V = 7.36 cubic feet

3. 17.17 - 7.36 = 9.81 cubic feet

4. 9.81 x 7.5 = 73.575 gallons or approximately 74 gallons.

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