Answers
S= 31
T= 82
U= 67
U = 180 - 113
67 + (2x - 9) + (4x + 2) = 180
6x + 60 = 180
6x = 120
X = 20
Sub 20 for x in equations
S = 2(20) -9 = 31
T = 4(20) + 2 = 82
31 + 82 + 67 = 180
Related Questions
8. Calculate the kinetic energy of a rock that has a mass of 55 kg rolling
down a hill with a velocity of 8 m/s (DOK2)
your Iwer
Answers
Answer:
1760J
Step-by-step explanation:
Given parameters:
Mass of rock = 55kg
Velocity = 8m/s
Unknown:
Kinetic energy = ?
Solution:
The kinetic energy of a body is the energy to motion of a body.
K.E = [tex]\frac{1}{2}[/tex] m v²
where m is the mass and v is the velocity
Insert the parameters and solve;
K.E = [tex]\frac{1}{2}[/tex] x 55 x 8² = 1760J
Which graph has a slope of 4/5?
A coordinate plane with a straight line. The line starts at (negative 5, negative 4) and passes through points at (0, 1) and (4, 5).
A coordinate plane with straight line. The line starts at (negative 5, negative 2) and passes through points at (negative 1, 0) and (4, 5).
A coordinate plane with straight line. The line starts at (negative 5, negative 1) and passes through points at (negative 2, 0) and (3, 2).
A coordinate plane with straight line. The line starts at (negative 4, negative 5) and passes through points at (0, 0) and (4, 5).
Answers
Answer: A coordinate plane with straight line. The line starts at (negative 4, negative 5) and passes through points at (0, 0) and (4, 5). That is the answer.
A coordinate plane with straight line. The line starts at (negative 5, negative 2) and passes through points at (negative 1, 0) and (4, 5).
What is slope?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,
The slope of line is the measure of steepness or the direction of line the coordinate plane.
m = Δy/Δx
where,m is the slope
tan θ = Δy/Δx
We also refer this tan θ to be the slope of the line.
Slope of a LineThe slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.
Given:
slope= 4/5
The graph which show the slope 4/5 is:
A coordinate plane with straight line. The line starts at (negative 5, negative 2) and passes through points at (negative 1, 0) and (4, 5).
The only graph showing
slope= rise/run = 4/5
Learn more about slope here:
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Emir is creating sewing kits for local high school students who are heading off to college. He has 16 needles and 12 spools of thread, which he wants to divide evenly, with no materials left over. What is the greatest number of sewing kits Emir can make?
Answers
Answer: 4
Step-by-step explanation:
Given that :
Number of needles = 16
Numbe of spools of thread = 12
The greatest Number of sewing kits that can be made is found by obtaining the Greatest Common factor of both number of threads and number of spool of thread;
Factor of :
16 : 1, 2, 4, 8, 16
12 : 1, 2, 3, 4, 6, 12
Hence, the greatest common factor = 4
mr.reeve planted 5 bean plants and 12 tomato plants in his garden. what is the ration of beans plants to tomato plants
Answers
Answer:
5:12
Step-by-step explanation:
5 to 12
plz halp i need to get this right.
Answers
Answer:
C
Step-by-step explanation:
Riley used $9 to pay for a toy that costs $8.63 how much change should Rita get back
Answers
Answer:
0.37
Step-by-step explanation:
9.00-8.63=0.37
Answer:
0.37
Step-by-step explanation:
Help plz plz!!!!!!!!!!!!!!!!!
Answers
Answer:
I don't see anything!!!!
Determine whether the situation is an example of an experiment or an observational
study. Explain.
A researcher asks people how many hours they exercise per week and examines
whether this affects the amount of sleep they get.
a)
This is an observational study. The researcher is applying a treatment
(exercise) instead of simply gathering data.
This is an experiment. The researcher is applying a treatment (exercise)
instead of simply gathering data.
b)
c)
This is an observational study. The researcher gathers data instead of
applying a treatment.
d)
This is an experiment. The researcher gathers data instead of applying a
treatment.
Answers
This is an observational study. The researcher gathers data instead of applying a treatment. The correct option is C.
What is an observational study?An observational study is used in fields such as epidemiology, social sciences, psychology, and statistics to draw conclusions from a sample to a population where the independent variable is not under the researcher's control due to ethical concerns or logistical constraints.
The given situation is a researcher asks people how many hours they exercise per week and examines whether this affects the amount of sleep they get.
The above research is an observational study. The researcher gathers data instead of applying a treatment.
To know more about an observational study follow
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The total cost for 10 pairs of headphones, including shipping was $125. The shipping charge was $15. What was the cost of each pair of headphones? Write and an equation and find the solution.
Answers
Answer:
y=15+12.5xStep-by-step explanation:
given data
chipping charge= $15
cost of 10 pair= $125
le the cost of 1 pair be x
given that 10 pairs cost $125
then 1 would cost x
cross multiply we have
10x=$125
x= 125/10
x=$12.5
therefore the equation for the solution is
let y be the total cost
y=15+12.5x
A group of preschoolers has 17 boys and 22 girls. What is the ratio of girls to boys?
Answers
Answer: the ratio of girls to boys is 22 to 17
is (1,-4) a solution to y=-4x?
Answers
Answer:
Yes it is.
Step-by-step explanation:
(1, -4) means that x = 1 and y = -4.
Use those values, substitute, and solve.
y = -4x
-4 = -4(1)
-4 = -4 TRUE
Best of Luck!
good luck:)
Label the following sides (opposite, adjacent, and hypotenuse) *
Answers
Answer: Side A is the hypotenuse; Side B is opposite; Side C is adjacent
Side A: It's the hypotenuse because it's the longest side.
Side B: It's opposite because it's the side across from the given angle θ.
Side C: It's adjacent because it's next/adjacent to the given angle θ.
A company that manufactures widgets has fixed costs of $8,906.00 each month and a cost of $2.64 for each widget it produces. Which of the following equations could be used to determine the total production costs for the company if it produced x widgets last month?
(Let x represent the number of widgets the factory produced last month and y represent the total production costs for the factory.)
A.
y = $890.60 + $2.64x
B.
y = $8,906.00 + $2.64x
C.
y = $8,906.00x - $2.64x
D.
y = $2.64 + $8,906.00x
Answers
Answer:
The equation could be used to determine the total production costs for the company if it produced x widgets last month is
y = $8,906.00 + $2.64x ⇒ B
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope ⇒ rate of changeb is the y-intercept ⇒ initial amount∵ A company has fixed costs of $8,906.00 each month
→ That means it is a fixed value every month
∴ b = 8,906.00
∵ The cost of each widget it produces is $2.64 for
→ That means the value is changing according to the number of widgets
∴ m = 2.64
∵ y represents the total costs of production last month
∵ x represents the number of widgets the factory produced last month
→ Substitute the values of m and b in the form of the equation above
∴ y = 2.64x + 8,906.00
The equation could be used to determine the total production costs for the company if it produced x widgets last month is
y = $8,906.00 + $2.64x
The total amount y (in dollars) in your savings account after buying x video games is represented by y=90-10x. You have $40 in your account after buying video games. How many video games did you buy?
Answers
Explanation:
Step one) identify all variables.
> y = money in bank acc AFTER buying (x) video games.
Step two) y = $40
Step three) substitute
> 40 = 90 - 10x.
Step Four) solve for x
> subtract 90 both sides.
-50 = -10x
DIVIDE by -10 on both sides ( to isolated x)
This equals 5 = x
x is number of video games bought meaning >> 5 video games bought :))
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation can be used to find the side lengths.
Answers
Answer+Step-by-step explanation:
2*X[a]+2*X[a]+X[b]=15.7
Answer:
b=3.1
Step-by-step explanation:
What is the range of the function represented by the graph?
On a coordinate plane, points are at (0, 1), (1, 2), (2, 3), (3, 4).
Answers
Answer:
0,1,2,3
Step-by-step explanation:
Answer:
the answer is 1<y<4
Step-by-step explanation:
What is the surface area of the prism shown?
Answers
I thought it was HL, but I was wrong. So I’m really confused. Help?
Answers
Answer:
Its asa
Step-by-step explanation:
Answer:
The answer to your question is the ASA(Angle-Side-Angle) postulate
Step-by-step explanation:
The reason this is not HL(hypotenuse leg) is because only one side, and two angles are marked as congruent, you need a congruent(equal measure) leg, hypotenuse, and right angle. In other words, you need a right triangle with a congruent hypotenuse, and leg ; tick marks, to indicate the sides have equal length(these are the slashes that go through the line or outline). An outline of the angle or tick on the outline corresponds to congruent angles.
Because you have two angles and a side, in the order of an angle then a side and then an angle, it is ASA.
Use the vertical line test to determine if the graph is a function or not a function.
Answers
Answer:
Use the vertical line test to determine if the graph is a function or not a function.
On a coordinate plane, a graph decreases to a minimum point, and then increases.
✔ function
On a coordinate plane, a graph increases to a maximum, decreases to a minimum, increases to the maximum, and decreases again to the minimum.
✔ function
On a coordinate plane, a graph decreases to the right, then decreases to the left, then decreases to the right.
✔ not a function
Step-by-step explanation:
As per the concept of the vertical line test, the third graph is not a function.
But the First and Second graphs represent a function.
The vertical line test is a method used to determine if a graph represents a function. It involves visually inspecting the graph and checking if any vertical line intersects the graph at more than one point.
Let's apply the vertical line test to the given graphs:
First graph:
For the first graph, if we draw any vertical line, it will intersect the graph at most once. Hence, the graph passes the vertical line test, indicating that it represents a function.
Second graph:
For the first graph, if we draw any vertical line, it will intersect the graph at most once. Hence, the graph passes the vertical line test, indicating that it represents a function.
Third graph:
The vertical line test is given in the image below.
In conclusion:
The third graph is not a function.
To learn more about the function;
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Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.
Answers
Answer:
The question is lacking multiple-choice answers, below is the complete question:
Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.
A. 6 cm by 1.5 cm
B.10 cm by 2 cm
C. 13 cm by 4 cm
D.18 cm by 4.5 cm
E.80 cm by 20 cm
Answer:
The correct answers are:
A. 6 cm by 1.5 cm
D. 18 cm by 4.5 cm
E. 80 cm by 20 cm
Step-by-step explanation:
A scaled copy of the original rectangle will have different dimensions, but with the same ratio of the dimensions to the original unscaled rectangle. Therefore, to determine the dimensions that are scaled copies of the original rectangle, we have to determine the ratio of the dimension of the original rectangle and also find the ratios of the other rectangles, the ratios that match are scaled copies. This is done as follows:
Rectangle A:
12cm by 3 cm = 12/3 = 4
other rectangles:
A. 6cm by 1.5cm = 6/1.5 = 4
B. 10cm by 2cm = 10/2 = 5
C. 13cm by 4cm = 13/4 = 3.25
D. 18cm by 4.5cm = 18/4.5 = 4
E. 80cm by 20 cm = 80/20 = 4
The rectangles that match the original rectangle are A, D, and E, hence they are scaled copies of the rectangle A
What’s this answer?
A. -5/2
B.-2/5
C.2/5
D.5/2
Answers
Answer:
B. -2/5
Step-by-step explanation:
Hope this helped, have an AMAZING day!!
Charmaine must choose a number between 61 and 107 that is a multiple of 3, 6 and 8. Write all the numbers that she could choose. If there is more than one number, separate them with commas.
Answers
Answer: 72, and 96
Step-by-step explanation:
Multiples of 3 between 61 and 107 are= 63,66,69,72,75,78,81,84,87,90,93,96,99,102,105
Multiples of 6 between 61 and 107 are:
= 66,72,78,84,90,96,102
Multiples of 8 between 61 and 107 are:
= 64,72,80,88,96,104
The common multiple to 3, 6 and 8 from 61 to 107:
= 72, and 96
which expression can you use to find the volume, in cubic feet, of this rectangular prism
Answers
Answer:
Its 6 x 5 x 3
Step-by-step explanation:
did it on i-ready hope this helps you!
Because of a shortage of workers, a radiologic technologist is working
overtime. She gets overtime pay for any hours over 8 hours per day. How
many hours of overtime did she work in 1 week?
Answers
Answer:
8
Step-by-step explanation:
Consider the equation f (x) = (x + 1): – 3.
Which point does NOT lie on the graph of y=f-? (x)?
Answers
Answer:
-3
Step-by-step explanation:
x+1=3
The graph shows a proportional relationship.
What is the constant of proportionality?
Enter the correct answer in the box.
k=
Answers
Answer:
21/7 if simplified its 3
Step-by-step explanation:
the slope of a graph is the same as the constant of proportionality of the equation.
slope is rise/run= 21/7
There are 35 red beads on the bracelet. The number of green beads on the bracelet is 42. Kaleb says that means the ratio of the number of red beads to the number of green beads is 5: 7. Is Kaleb correct? Explain why or why not. (Use complete sentences!)
Answers
Answer:
No
Step-by-step explanation:
Ratios are the same as percentages or fractions. In this case there are 35 red beads for every 42 green beads on the bracelet. This means the ratio would be [tex]\frac{35}{42}[/tex] , which when put divided is 0.833 or 83.3%. Kaleb is stating that the ratio is 5:7 which would basically be [tex]\frac{5}{7}[/tex] which when divided is 0.71 or 71%. Therefore, since these percentages are different we can go ahead and say that Kaleb is not correct.
If answered I will give you brainliest.
Erica and Mario tested a toy car to see how fast it would travel. They recorded their results in the table below. What is the average speed of the toy car? Choose the best answer.
A 0.12 m/s
B 0.6 m/s
C 1.2 m/s
D 1.6 m/s
Answers
PLEASE HELP ANGLE CONSTRUCTION !
Answers
Answer:
copy a segment
Step-by-step explanation:
e^2x + 2e^x - 15 = 0
Answers
Answer:
1.0986
Step-by-step explanation: