John and Shawn are racing to see who can get his community service hours for scouting completed first. John, who has already completed 40 hours, plans to volunteer for 5 hours per week going forward. Shawn hasn't started yet, but plans to dedicate 15 hours per week to his volunteer project from now on. Before too long, the boys will be tied, with the same number of volunteer hours. How long will that take?

Answers

Answer 1

Answer:

John and Shawn spent the same number of hours after [tex]4[/tex] weeks.

Step-by-step explanation:

Number of hours already completed by John to his volunteer project [tex]=40[/tex] hours

Number of hours spent by John each week to his volunteer project [tex]=5[/tex] hours

Number of hours spent by Shawn each week to his volunteer project [tex]=15[/tex] hours

Suppose John and Shawn spent the same number of hours after [tex]x[/tex] weeks.

Therefore,

[tex]40+5x=15x[/tex]

[tex]40=15x-5x\\40=10x[/tex]

[tex]x=4[/tex] weeks.

So,

John and Shawn spent the same number of hours after [tex]4[/tex] weeks.


Related Questions

How would one solve √45/3​

Answers

Answer:

[tex]\sqrt{45} /3[/tex] = [tex]\sqrt{5}[/tex] = 2.236

b/c [tex]\sqrt{45} /3[/tex] = [tex]\sqrt{45} /\sqrt{9}[/tex] = [tex]\sqrt{45/9}[/tex] = [tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{45/3}[/tex] = [tex]\sqrt{15}[/tex] = 3.873

en las matematicas para que concepto se usan las letras?

Answers

Answer:

En matemáticas, las letras son utilizadas en las ecuaciones, para representar a través de ellas valores no conocidos que deben ser dilucidados por quien realiza la ecuación. Las letras más utilizadas con este propósito son las letras X e Y.

Así, por ejemplo, se da una suma con un valor numérico y un valor faltante denominado X, con un resultado también numérico, con lo cual el valor de X surgirá del resultado de la ecuación planteada. Por ejemplo:

8 + X = 10

X = 10 - 8

X = 2

8 + 2 = 10

The Sugar Company will choose from two companies to transport its sugar to market. The first company charges $5995 to rent trucks plus an additional fee of $175.50 for each ton of sugar. The second company charges $6500 to rent trucks plus an additional fee of $150.25 for each ton of sugar.

Answers

I think we're missing part of your question. The expression for cost for the first company will be:

5995 + 175.5x, where x is the number of tons of sugar

and the expression for the cost for the second company is:

6500 + 150.25x

Please feel free to comment with the rest of the question and I'll happily help if I can.

Anyone know how to do this

Answers

Answer:

c or a

Step-by-step explanation:

Answer:

A(-3,-1)-----A'(-1,2)

B(2,1)------B'(4,4)

here

x is increased by -1--3=2

and

y is increased by2--1= 3

so

A.(x',y')=(x+2,y+3)

What is the value of x?
A.38
B. 59
C. 83
D. 96

Answers

Answer:

Ans is 59

Step-by-step explanation:

46 +51+y=180 (sum of triangle)

y=180-46-51

y=83

now,

83+x+38=180

x=180-83-38

x=59

value of x is 59

If one side of a regular pentagon is represented by 3x + 1 , what is the perimeter of the pentagon?

Answers

Answer:

5(3x+1) or 15x+5

Step-by-step explanation:

A regular pentagon has 5 sides of equal length. The perimeter is the sum of the lengths of those sides. We can use multiplication to find the sum of 5 of the same value:

 P = 5(3x +1)

Perhaps you want it expanded. Using the distributive property, we multiply each term in parentheses by 5:

 P = 15x + 5

Please help me with the correct answer

Solve (x - 3)^2=5

Answers

The answer is B. First solve the parentheses. Then make a quadratic equation and solve from there.

Answer:

It's B.

Step-by-step explanation:

what's your answer????/????????/////??

Answers

Answer:

Top right

Step-by-step explanation:

The two sides are parallel to each other. :)

Find the unit rate in the following scenarios, and explain how you solved.
1. In 6 days, the temperature dropped 18 degrees. How many degrees per day did the temperature drop?

no links<3

Answers

Answer:

3 degress per day

Step-by-step explanation:

18/6=3 sorry for the bad spelling

Deondre purchased a piece of investment property for $34,500. He anticipates each year it will increase in value by 3.2% over the previous year. Enter numbers in the boxes to write an exponential function that models the value in dollars of the property x years after Deandre's purchase.

f(x)=​

Answers

Answer:

f(x) = 34,500 × (1.032)^x

Step-by-step explanation:

Just completed the test and copied the answer directly from the review.

Scott works on cars. He charges $35 for each car plus $13 per hour. Yesterday he worked for 5 hours on 3 different cars. How much money did he make?

Answers

Answer:

170

Step-by-step explanation:

35 x 3cars= 105  13 x 5hours= 65      105+65= $170

13x5=65
35+65=$100
100x3=$300
Scott makes $300 dollars for 3 cars

these are not the right answers but does anyone know the right answers? please help

Answers

Answer:

Use this to get the area of any circle A = π r²

Step-by-step explanation:

I guess the upper circle has a radio of 10.5 m, then you multiply it by itself and you get that 10.5^2=110.25, and to that you add "π", and the area would be this "110.25π m."

And the other one is 7^2π=49π

Find the coefficient of x^4 in 3x^3-5x^4 + x-7

Answers

Answer:

-5

Step-by-step explanation:

the coefficient of x^4 is -5

Solve the following inequality.
- 1/2p<-16
Which graph shows the correct solution?
+
27 28 29 30 31 32 33 34 35 36 37
27 28 29 30 31 32 33 34 35 36 37
3 4 5 6 7 8 9 10 11 12 13
3 4 5 6 7 8 9 10 11 12 13 PLEASE HELP

Answers

Answer:

p<32

Step-by-step explanation:

[tex] \rm \rightharpoonup \: \frac{ - 1}{2}p < - 16 \\ \rm \rightharpoonup \: p < - 16 \times - 2 \\ \rm \rightharpoonup \: p < 32[/tex]

Answer:

A is the answer got it right on quiz

A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours?
plz help

Answers

Answer:

133 windows in 7 hours

Step-by-step explanation:

38 divided by 2 and you get 19

19 x 7 = 133

Answer:

133 windows

Step-by-step explanation:

First, you would want to find how many windows he can clean in 1 hour.

You know that 38 windows = 2 hours.

To do this, divide both sides by 2 (to get 1 hour). You will get 19 windows = 1 hour.

Now to find 7 hours, multiply both sides of 19 windows = 1 hour by 7 (to get 7 hours). You will get 133 windows cleaned in 7 hours.

A firm tested the durability of four different types of tires by having 4 Cadillacs each randomly equipped with one of the types of tires. In similar fashion, 4 Fords were used, each randomly equipped with one of the tire types. In a like manner, 4 Volkswagens were each randomly outfitted with one of the four tire brands. Then each of the twelve cars ran over a test track until the tires showed signs of serious wear. At that point the average mileage of the three cars using one type of tire was compared to the average mileage of the three cars using the second type of tires, and so on. This design is:

Answers

Answer:

Randomized block design

Step-by-step explanation:

In the scenario described above, the subjects which are the different car types are grouped into fixed units of 4 called blocks with each unit then assigned randomly to a particular treatment condition, which are the 4 different types of tire. In the end, the mean mileage for each block is taken and compared to that of the other blocks. This type of research design improves the reliability of the result obtained as it also eliminates the occurrence of systematic error in the course of our experiment.

1. The points ( − 4, − 4), ( − 4, 4), (4, 4), and (4, − 4) form a square on a coordinate plane. How long is a side length of the square

Answers

Answer:

Length of one side is 8 units

Step-by-step explanation:

Given

The centre of this square is positioned at the origin as visible form the four co-ordinates

All the four co-ordinates are such that they are 4 units along the x-axis and 4 units along the y-axis.

Let us take the following two co-ordinates - (4,4),(4,−4). The X value for these two co-ordinate points is 4 and the Y values are such that one point has y = 4 and the other has y = -4 i.e 8 units in between.  

Thus, length of one side is 8 units.  

 

please help im very very desperate

Answers

Answer:

Exponential

Step-by-step explanation:

If it were quadratic, y-axis would fall and rise in points, so its not quadratic.

If it were linear, it would have a pattern with a rise/over formula, and it doesn't go in a pattern, so the only answer left is: Exponential.

Answer:

Exponential

Hope this helps!

Ok so i have graphed these values and this is the graph i got which appears to be exponential:

AB=A, B, equals Round your answer to the nearest hundredth.

Answers

Step-by-step explanation:

[tex] \sin(20 \degree) = \frac{3}{AB} \\ AB = \frac{3}{ \sin(20 \degree) } \\ AB = \frac{3}{0.342} \\ AB = 8.77[/tex]

Determine the value of x in the given figure help

Answers

Answer:

x = 25

Step-by-step explanation:

The angles in a triangle must add up to 180 degrees, so:

180 - (53 + 27) = 100

100 ÷ 4 = 25

Find the kinetic energy of a 0.145-kg baseball that is thrown at a speed of 40 meters per second.

Answers

Answer:

Step-by-step explanation:

You can use the general expression as:

K = 1/2mv²

With your data:

K = 1/2(0.145)(40)²=

What is linear equation???

Answers

Answer:

an equation between two variables that gives a straight line when plotted on a graph. In mathematics, a linear equation is an equation that may be put in the form {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}+b=0, } where x_{1}, \ldots, x_{n} are the variables, and {\displaystyle b, a_{1}, \ldots, a_{n}} are the coefficients, which are often real numbers.

Evaluate the equation
83.49 = 3.3x
How did you get your answer?

Answers

Answer:

x = 25.3

Step-by-step explanation:

83.49 = 3.3x

divide both sides by 3.3

x = 25.3

83.49 divided by 3.3
x = 2.53

In what quadrant is the point (-7, -16)?

Help!!!!!

Answers

Answer:

Those points are in Quadrant 3

.
One pump can fill a tank of water in 5 hours. A second tank can fill the same tank in 4 hours. If both pumps are used together, how long will it take to fill the tank?
5/4 hours
9/20 hours
20/9 hours
4/5 hours

Answers

Answer:

20/9

Step-by-step explanation:

5+4=9

4×5=20

I think. I'm a little rusty. hope this helps

Answer:

20/9

Step-by-step explanation:

u gotta pay more attention in class this was an easy question

How many possible passwords can you have if you can use numbers, letters, or capital letters but you must have at least one capital letter and your password needs to be exactly 5 characters long.

Answers

Answer:

628 possible passwords.

A picture that measures 7 inches
by 7 inches is being framed.
The area of the picture with
frame is 81 square inches.
What is the width of the frame?

Answers

Answer:

The width of the frame is 2 inches

Step-by-step explanation:

The given dimensions of the picture = 7 inches by 7 inches

The area of the picture, A₁ = 7 in. × 7 in. = 49 in.²

The area of the given picture and the frame, A₂ = 81 square inches

Let 'w' represent the width of the frame and whereby the picture is a square, we have;

The area of the picture with the frame, A₂ = 81 in.² = (7 + w) × (7 + w)

A₂ = 81 = (7 + w) × (7 + w) = 49 + 14·w + w²

49 + 14·w + w² - 81 = 0

w² + 14·w - 32 = 0

(x + 16)·(x - 2) = 0

∴ x = -16 or x = 2

Given that 'x' is a natural number, we have;

The width of the frame, x = 2 inches.

Need help fast what are values of x and y

Answers

Answer:

y = 52

x = 5

Step-by-step explanation:

14 x + y = 122

y = 52

x = 5

The size of a cell is typically found by capturing an image under a microscope then
using software to measure its diameter. Two cells are measured using this method:
Cell M: 7.65 x 10-3 centimeters
Cell N: 9.1 x 10-4 centimeters
What's the difference between the diameters of the two cells? Express your answer
using scientific notation.

Answers

Answer:

The difference is 6.74 * 10^-3 centimeters

Step-by-step explanation:

Firstly, we need to write the numbers as they would occur normally

we have this as;

7.65 * 10^-3 = 0.00765

9.1 * 10^-4 = 0.00091

So by subtracting, we have it that we subtract the value of the diameter of the cell N from that of the cell M since it is a bigger number

we have this as;

0.00765 - 0.00091 = 0.00674 and in scientific form is 6.74 * 10^-3 centimeters

5.5555 pounded to the nearest
hundredth
IS​

Answers

Answer:

5.55000

Step-by-step explanation:

i think

Answer:

5.56

Number:  

5.555

Nearest:  

Hundredths (2 decimals)

Mode: Round

=5.56

Other Questions
HELP PLEASE like I really need help harrison bought a 10 foot ramp to load his dirt bike into the back of his truck. the ramp hooks to the 3 foot high tailgate. how far away from the tailgate doe the ramp sit in the ground? Summarize this passage to demonstrate comprehension. So why did the bonding bill get thrown out? Why has Congress had so much trouble passing this bill? Typically, large spending bills take a lot of discussion and compromise. For example, while supporters were working to pass these bills in 2004 and 2005, lawmakers were going head-to-head over funding issues. In 2005 alone, lawmakers had to extend the highway and mass transit bill seven times due to disagreements on how the budget should be divided. Combine that disagreement with the fact that many of the powerful supporters of PRT were getting in hot water, and you have a recipe for disaster. Congress never passed the bill. Which of the following describes a difference between the Declaration ofIndependence and the Declaration of the Rights of Man and of the Citizen?A. The Declaration of Independence describes certain rights only formen, while the Declaration of the Rights of Man and of the Citizenalso discusses women's rights.B. The Declaration of Independence opposed absolute monarchy,while the Declaration of the Rights of Man and of the Citizensupported it.C. The Declaration of Independence established a new country, whilethe Declaration of the Rights of Man and of the Citizen only lists aset of principlesD. The Declaration of Independence was based on Enlightenmentideas, while the Declaration of the Rights of Man and of the Citizenwas based on classical Greek philosophy. Find the area of the circle when the circumference is 26 in what are some pros to a good community 1. What is the military-industrial complex?-The partnership between big business and the U.S. armed forces that created a permanent war economy.-The balance between military spending and domestic spending that had to be maintained.-The possibility that the U.S. could become a military dictatorship if it focused too much spending on the military.-The U.S. economy being based on both domestic and war production, which made the U.S. a superpower. A firm tested the durability of four different types of tires by having 4 Cadillacs each randomly equipped with one of the types of tires. In similar fashion, 4 Fords were used, each randomly equipped with one of the tire types. In a like manner, 4 Volkswagens were each randomly outfitted with one of the four tire brands. Then each of the twelve cars ran over a test track until the tires showed signs of serious wear. At that point the average mileage of the three cars using one type of tire was compared to the average mileage of the three cars using the second type of tires, and so on. This design is: AB=A, B, equals Round your answer to the nearest hundredth. what came first bedrock java or pocket these are not the right answers but does anyone know the right answers? please help please look at the screenshot below 45 points and first one will be brainliest Who does Judge J.J. Ford attempt to call? A. Mrs. Westing B. Sidney Sikes C. E.J. Plum D. Barney Northrup ( the westing game ) 2. Relacione as colunas de acordo com a funo sinttica das oraes subordinadas: *a. Mamepediu que eu voltasse cedo. b. possvel que ele fale a verdade. c. Mandou que eles se calassem. d. Era evidente que a menina levaria a culpa.SujeitoObjeto direto Need help fast what are values of x and y choosing a card from a deck of cards numbered 10, 11, 12, ..., 25 and picking a day of the week WHAT IS THE PROBABILITY 3) Which BEST describes how the passage from this story might draw onthe Bible?A)The passage uses highly symbolic names, each ofthem with heavy Biblical meaning.B)The passage uses Della's inability to pay for a presentto call the Bible's teachings into question.The passage does not have anything to do with theBible, as works of early twentieth century AmericanLiterature did not often reference the Bible.The passage refers to a young woman's sorrow at notD) being able to buy a proper Christmas gift for herbeloved, setting up a possible theme of sacrifice. Noooo Linnkkkkkk Rodney ordered a large sub sandwich. He ate 1/4 of the sandwich on monday and 1/3 of it on tuesday. Which equation shows how to find how much of the sandwich Rodney ate ate in all?A. 1/4 + _ = 1/3B. 4/7 + 5/7 = _C. 4/12 + 5/12 = _D. 3/12 + 4/12 = _ . One pump can fill a tank of water in 5 hours. A second tank can fill the same tank in 4 hours. If both pumps are used together, how long will it take to fill the tank?5/4 hours9/20 hours20/9 hours4/5 hours How would one solve 45/3