Adam, Bethany and Charles played a game.
Adam scored 8 more points than Charles.
Bethany scored 5 more points than Adam.
They scored a total of 72 points.
Find the number of points that Adam, Bethany and Charles each scored.
Answers
Points scored by Adam, Bethany and Charles are 25, 17 and 30 respectively.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
Given that,
Adam scored 8 more points than Charles,
And Bethany scored 5 more points than Adam.
Also, total score is 72.
Let points scored by Adam is x,
Then point scored by Charles = x-8,
And point scored by Bethany = x+5.
Since, total score = 72
x + x-8 + x+5 = 72
3x - 3 = 72
3x = 75
x = 25
Points scored by Adam is x = 25,
Point scored by Charles = x-8 = 17,
And point scored by Bethany = x+5 = 30.
To know more about Algebra on:
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Related Questions
A plumbing company charges $35 per hour plus a $25 travel charge for a service call. Another plumbing company charges $40 per hour for a service call with no travel charge. Solve the equation 35h+25=40h to find how many hours h a service call must be for the two companies to charge the same amount.
__ hour(s)
Answers
Answer:
5 hours
Step-by-step explanation:
35h + 25=40h
implies 25=40h-35h
25=5h
dividing both sides by 5,
h=5
HELP!!!! Due in 1 hour.
Answers
Answer
these nut in you'er mouth
Step-by-step explanation:
What are all the factors of 54?
Answers
Answer:
The factors are: 1,2,3,6,9,18,27,54.
Hope this helped!
Answer: the answer is D 1, 2, 3, 6, 9, 18, 27, 54. :)
A. What is the area of square ABCD?
B. What is the area of square EFGH?
C. What is the area of the unshaded region of ABCD.
NEED HELP!!!!
Not very good with these kinds of problems
Answers
Add
to each side x2 - 8x = 9 to complete
the square.
Answers
Answer:
the correct answer is 16
Step-by-step explanation:
Add ⇒ 16 to each side x2 – 8x = 9 to complete the square.
Hershey Park is a popular field trip destination. This year Peirce and Stetson both planned trips there. Peirce rented and filled 16 vans and 8 buses with 752 students. Stetson rented and filled 5 vans and 5 buses with 380 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
Answers
What transformations were applied to ABCD to obtain A'B'C'D?
Answers
Answer:
Rotate 90 degrees counterclockwise then translate 2 units up.
Step-by-step explanation:
I just took a quiz on a p e x and it was correct! :)
Answer:
roatae 90 degrees conter clockwise about the origin and then go to units up
Step-by-step explanation:
Divide 389ten by 44 ten
Answers
(ANSWER PLZ! BRAINLIEST) When you graph a proportional relationship explain what happens.
Answers
Answer:
The best way to show and explain direct proportional relationships is by graphing two sets of related quantities. If the relation is proportional, the graph will form a straight line that passes through the origin.
Step-by-step explanation:
Answer:
when you graph and proportional the graph will form a straight line that passes through the origin
Step-by-step explanation:
A swim coach wants to test whether practicing with swim paddles improves swimmers' breaststroke times in the 100-
meter relay race. He asks the first member of the relay team to continue swimming without paddles. He asks the other
three members of the relay team to swim with paddles for two weeks. He records the swim times of the relay teams with
and without paddles. Which group of an experiment are the other three members of the relay team part of?
-single-blind
-confounding
-control
-experimental
Answers
Answer: experimental
Step-by-step explanation:
In a research design such as the one described in the scenario above, participants are separated into two distinct groups. The hypothesis (if swimming with paddles is faster than without paddles) being tested is applied on one of the two groups while the other group remains as before. Hence, the group which receives the treatment which is to be tested (those who swim with paddles) are called the experimental group. The other group of participants who continue to swim without paddles are the control group.
Hence, the other group of three member who were asked to swim with paddles for two weeks are the experimental group because they are the ones who received the actual treatment in the experiment.
Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer will represent the amount of money in Alaina’s account?
–73
–27
–23
–17
Answers
Answer:-17
Step-by-step explanation:
45-28=17
if the ice melts at a rate of 2 in3per minute, how long do you have to eat your treat before it allmelts?
Answers
Answer:
You have to eat it all fast
Step-by-step explanation:
There is not real question here
Pat’s Painting Company charges a $125 painting fee, plus $17.50 per hour. Write and solve an equation to determine how many hours the company worked if they were paid $221.25 for one job.
Answers
Answer:
5.728 hours
Step-by-step explanation:
$225.25 - $125 =
$100.25
$100.25/ $17.50 =
5.728 hours
Answer:
Step-by-step explanation:
Let x be the number of hours worked
17.5x + 125 = 221.24
17.5x = 221.25 - 125
17.5x = 96.25
x = 96.25/17.5
x = 5.5 hours
If –y + 2x^2 – x = -5y^3 then find dy / dx in terms of x and y.
Answers
Answer:
dy/dx = [tex]\frac{4x-1}{1-15y^{2} }[/tex]
Step-by-step explanation:
-y + 2x²- x = -5y³
2x² - x = y - 5y³
4x - 1 = dy/dx - 15y².dy/dx
dy/dx(1 - 15y²) = 4x - 1
dy/dx = [tex]\frac{4x-1}{1-15y^{2} }[/tex]
Which equations are equivalent to the equation?
Answers
Answer:
B C D
Step-by-step explanation:
You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−11x+330, where x is the time (in seconds) since you first noticed the hot air balloon.
Graph the function and specify its domain and range. Then interpret the slope and intercepts of the graph.
Answers
Answer:
1) Please find attached, the graph of the function
The domain of the function is 0 ≤ x ≤ 30
The range of the function is 330 ≥ x ≥ 0
2) The slope of the given equation, shows that the elevation decreases, by (-)11 feet for each increase in time by one second
3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds
The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds
Step-by-step explanation:
1) The function modelling the height of the balloon is h(x) = -11x + 330
Where;
x = The time of elevation of the balloon
The data for the graphing derived from Microsoft Excel are as follows
x [tex]{}[/tex] h(x)
0 [tex]{}[/tex] 330
5 [tex]{}[/tex] 275
10 [tex]{}[/tex] 220
15 [tex]{}[/tex] 165
20 [tex]{}[/tex] 110
25 [tex]{}[/tex] 55
30 [tex]{}[/tex] 0
Please find attached, the graph of the function
The domain of the function is 0 ≤ x ≤ 30
The range of the function is 330 ≥ x ≥ 0
Comparing the given function to the general equation of a straight line, y = m·x + c, we have that the slope, m = -11
2) The slope of a straight line graph gives the rate of change of the dependent variable, per unit change in the independent variable
Therefore, the slope of the given equation, -11 gives the rate of change of the function per unit increase in the independent variable x
Therefore, the elevation decreases, by (-)11 feet for each increase in time by one second
3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds
The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds
Answer:
I had the same problem! Here is my work, pretty sure its the right answer!
Step-by-step explanation:
I really need help on this question
Answers
Answer:
B
Step-by-step explanation:
y = [tex]\frac{1}{4}[/tex] is the equation of a horizontal line, parallel to the x- axis.
A line perpendicular to it will be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (- 6, - 9) with x- coordinate - 6, thus
x = - 6 ← is the equation of the perpendicular line
A 39 inch piece of ribbon is cut so that one piece is 3 1\2 inches longer than the other. What is the length of the longer piece of ribbon?
Answers
Answer:
longer: 23inches shorter: 16incher
Step-by-step explanation:
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
O 5 cm and 8 cm
O 6 cm and 7 cm
0.7 cm and 2 cm
O 8 cm and 9 cm
Answers
Answer:
8cm and 9cm
Step-by-step explanation:
Simplify the expression by adding or subtracting the linear expressions. 9x - 20 - 8x + 2 *
-11x - 6
17x - 18
x -18
22x + 17
Answers
Answer:
9x - 20 - 8x + 2 * -11x - 6 +17x - 18 +x -18 +22x + 17
If you mean so, then this is the answer
19x-45
-4(-5+x)>56
??? whats the answer
Answers
Answer:
x < -9
Step-by-step explanation:
-4(-5+x)>56 (given)
20 - 4x >56 (distributive property of inequality)
-4x > 36 (subtraction property of inequality)
x < -9 (division property of inequality)
The sign flips since it was divided by a negative number.
Write an equation of the line in slope-intercept form that passes through ( -2, 5) and is parallel to y=4x.
A. Y=-2x+13
B. Y=4x-3
C. Y=-2x-3
D.y=4x+13
Answers
Y = 4x + b
Plug in the point
5 = 4(-2) + b
5 = -8 + b
b = 13
It would be D. Y= 4x+13
3
Mark placed a ladder against a wall. The bottom of the ladder was 5 feet away from the wall. Find the height of the wall.
Ladder
10 feet
Wall
5 feet
Answers
Answer:8.66?
Step-by-step explanation:
pythagoras theorum finding the shorter side
A=C²-B²
10²-5²
=√10² - 5²
=8.66
Choose the function with the largest constant of variation.
Answers
Answer:
he answer is the third one
Step-by-step explanation:
I did it on edge
hi pls help :))))))))
Answers
Answer:
The last one
Step-by-step explanation:
Mr. Johnson has a piece of pipe 5 1/3 feet long. He decides to cut it into 3 equal pieces to use in making a railing for his porch. How long should he cut each piece?
HURRY!!! WILL GIVE ALOT OF POINT AND BRAINLIEST
Answers
Answer:
1.78
Step-by-step explanation:
7 is repeating but i rounded to the tenths its this. also, i just divided it by three because he cuts into three parts.
Jo's mother, Anne, is four times as old as Jo. In four years time, Anne will be three times as old as Jo. How old is Jo? (this is an easier version of a riddle we'll do in AP CS)
Answers
Answer:
Jo's age = x = 8 years
Step-by-step explanation:
Let
Jo's age = x
Jo's mother, Anne's age = 4x
In four years time, Anne will be three times as old as Jo.
Jo's age =3( x + 4)
Jo's mother, Anne's age = 4x + 4
How old is Jo?
Equate Jo's age and his mother's age
3(x + 4) = 4x + 4
3x + 12 = 4x + 4
3x - 4x = 4 - 12
-x = - 8
Divide both sides by -1
x = 8
Therefore,
Jo's age = x = 8 years
Andrew is descending 57 feet underwater while scuba diving. If he descends at a rate of 3 feet per second, how many seconds will it take Andrew to descend the full distance?
Answers
Answer: 19 seconds
Step-by-step explanation:
From the question, we are informed that Andrew is descending 57 feet underwater while scuba diving and that he descends at a rate of 3 feet per second.
The number of seconds that it will take Andrew to descend the full distance will be 57 divided by 3. This will be:
= 57/3
= 19 seconds
It'll take Andrew 19 seconds to descend the full distance
(x^2) +16x+86 = (x+A)^2 +B
How do I solve for A and B
Answers
Answer:
Step-by-step explanation:
If the question is:
x^2 + 16 + 86 = (x+A)^2 + B
Then the answer is , A= +/- 4 and B=86
A certain cookie recipe calls for 2 cups of flour to make one batch of cookies. Which graph best
represents the relationship between the amount of flour and the number of batches of cookies that
can be made using this recipe?
Answers
Answer:
1 cup of flower makes 1/2 a batch of cookies
Step-by-step explanation:
2 divided by 2 is 1
1 divided by 2 is 1/2