The graph shows a line and two similar triangles.
What is the equation of the line?
y = 3 x
y = one-third x
y = one-third x + 2
y = 3 x + 2
Answer:
y=1/3x+2
Step-by-step explanation:
Stefan sells Jin a bicycle for $125 and a helmet for $18. The total cost for Jin is 130% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
Stefan originally spent $ 110 on the bike and helmet, with which he is making a profit of $ 33.
Step-by-step explanation:
Since Stefan sells Jin a bicycle for $ 125 and a helmet for $ 18, and the total cost for Jin is 130% of what Stefan spent originally to buy the bike and helmet, to determine how much did Stefan spend originally and how much money did he make by selling the bicycle and helmet to Jin, the following calculations must be performed:
130 = 125 + 18
100 = X
100 x (125 + 18) / 130 = X
100 x 143/130 = X
14,300 / 130 = X
110 = X
143 - 110 = 33
Therefore, Stefan originally spent $ 110 on the bike and helmet, with which he is making a profit of $ 33.
Jerome is painting a rectangular toolbox that is 20 inches by 10 inches by 8 inches. A tube of paint covers 300 square inches. Part B How many tubes of paint should Jerome buy?
Answer:
2.93 but rounding because he must purchase whole tubes: 3.
Step-by-step explanation:
So, to figure this out, we must recall the formula for sufrace area of a rectangle:
2*L*H+2*L*W+2*W*H
This is a bit long, so lets break it up into 3 seperate segments, and plug in values:
2*L*H
Plug in the values:
2*20*10
=
400
2*L*W
Plug in the values:
2*20*8
=
320
2*W*H
Plug in the values:
2*8*10
=
160
Now that we have solved for each segment, lets add them together to get our total surface area:
400+320+160
=
880
So this is the surface area.
Now, we know that a tube of paint covers 300 of the 880 surface area.
To find the exact amount, lets divide the 880 by the 300:
[tex]\frac{880}{300}[/tex]
Simply:
[tex]\frac{44}{15}[/tex]
This is sligthly less than 3, and doing it out, you actually get 2.93 with the 3 repeating.
Now we need to think about something. Lets say you are going to the grocery store, and you need 1.895893 lettuce. Do you think you will find 1.89 lettuce? No, you could get 1 or 2, but not 1.89 lettuce, that just doesnt make sense.
It is the same thing here, we have to round up. Note that when doing problems such as these, you will never round down. If you need 1.253 tubes of paint, you arent going to get 1. You are going to need 2. So note that you will always round up when you solving a problem like this.
So your answer is 3.
Hope this helps!
We want to estimate the true mean number of ounces of water a high school athlete drinks each day at a 95% confidence level. A random sample of 15 athletes from a school is selected, and their typical daily water consumption is reported below:
64, 72, 80, 88, 128, 128, 128, 132, 145, 155, 160, 175, 180, 200, 225
Use the table to find the appropriate value of t* to use in the given scenario. Enter in the value of t* exactly as you see it written in the table.
t* =
Answer:
the answer is 2.145
Step-by-step explanation:
EDGE 2021
Help asap!!!!!!!!!!!!!!!!
its asking for the surface area of the sphere
Answer:
89^2π
Step-by-step explanation:
Using the formulas
A=4πR2
D=2r
Solving for A
A=πD2=π·89^2≈24884.55541
he radius of a sphere is 10 units. Find the volume of the sphere. Write your answer in terms of pie .
The volume is
cubic units. HURRY ASAP PLS IT DUE IN 10 MINS
[tex]\huge\mathcal\pink{Answer}[/tex]
radius r = 10 m
volume V = 4188.7902 m3
surface area A = 1256.63706 m2
circumference C = 62.8318531 m
In Terms of Pi π
volume V = 1333.33333 π m3
surface area A = 400 π m2
circumference C = 20 π m
Solving Right Triangles
Find all the missing measures.
HELP A HOMIE OUT
Answer:
21.908
Step-by-step explanation:
Find the solution of the system of equations.
4x-10y=0
4x-9y=-2
Answer:
{x,y} = {-5,-2}
Step-by-step explanation:
Consider the equations below:
y = 2x and 6x = 3y + 5
Are the lines parallel or perpendicular?
A Parallel because the product of the slopes is -1.
B Parallel because the slopes are the same.
C Perpendicular because the product of the slopes
is -1.
D Perpendicular because the slopes are the same.
==========================================================
Explanation:
Let's solve 6x = 3y + 5 for y
6x = 3y + 5
6x-5 = 3y
3y = 6x-5
y = (6x-5)/3
y = (6x)/3 - (5/3)
y = 2x - (5/3)
This final equation is in the form y = mx+b with m = 2 as the slope and b = -5/3 as the y intercept.
With the equation y = 2x, aka y = 2x+0, the m and b values are m = 2 and b = 0 respectively.
We see that both equations have the same slope (m = 2), but different y intercepts. Therefore, the two lines are parallel. If both y intercepts were the same as well, then we'd be talking about the same identical line.
If the slopes multiplied to -1, then the lines are perpendicular. In any other case, the two lines are neither parallel nor perpendicular.
Please help me with this
Answer:
33
Step-by-step explanation:
Help me and show your work <3
Answer:
25 on A
24 on B
Step-by-step explanation:
So for team A, x can be the total amount.
[tex]\frac{1}{5} x=5[/tex]
x = 25
25 players on team A.
For team B, let y be the total amount.
[tex]\frac{1}{8}x =3[/tex]
x = 24
24 players on team B.
Hyde Middle School is painting a circle on their playground with a radius of 10 feet. What will be the total
area of the circle, in square feet?
Use T = 3.14, and round your answer to the nearest hundredth.
Answer:
62.8
Step-by-step explanation:
3.14 times 2 times 10
I hope this helps!
Which of these symbols stands for greater than?
Answer:
>
Hope this helps!!
Please help me please I really need help.
Answer:
B. 113°Step-by-step explanation:
Tc = R + (Th - R)e^(-0.036t)Substitute values and solve for Tc:
Tc = 68° + (146° - 68°)e^(-0.036*15)Tc = 113.45° ≈ 113°Correct choice is B
the profit equation for a manufactioring company is p=x^2-2500 where p is profit, and x is number of units sold. For what number of units sold does the company break even? (p=0)
Answer:
For the company to break even, the number of units sold is 500 units
Step-by-step explanation:
To get this number of units, we simply substitute the value of 0 for p
we have this as;
0 =x^2 -2500
x^2 = 2500
x = √2500
x = 500 (we do not consider the other root of x = -500 since the number of quantities cannot be negative)
Solve 3-²I need work shown
Answer:
1/9
Step-by-step explanation:
Answer:
its 987556467724
Step-by-step explanation:
I took quiz and got it right thid my proof
Choose the correct graph of the given system of equations. (2 points)
y − 2x = −1
x + 3y = 4
a
graph of two lines, one with a positive slope and one with a negative slope, that intersect at the point negative 1, 1
b
graph of two lines that intersect at the point 1, 1
c
graph of two parallel lines with positive slopes
d
None of the above
it's b because the graph of two lines that intersect at the point one it's like
**100 POINTS**
To evaluate the quality of their product, a manufacturer of cell phones checks every 50th phone off the assembly line. Out of 200 phones tested, 4 are defective. The manager concludes that the 2% of the cell phones produced will be defective.
Unbiased, systematic random, valid.
question in photo! no need to explain answer,
Answer:
i its 3 or 4
Step-by-step explanation:
please help me you get 20 points !
Someone help me solve this
Step-by-step explanation:
I hope you understand what I wrote
A butterfly has a wingspan of 66 mm and a height of 6 cm.
Which is greater, its wingspan or its height?
Answer:
wingspan
Step-by-step explanation:
there's 10 mm in every cm
What does the simple interest stand for? Interest = Principal x Rate x Time Interest = Per unit x Rate x Time Interest = Price x Rate x Total Interest = Principal x Rest x Total
9514 1404 393
Answer:
(a) Interest = Principal x Rate x Time
Step-by-step explanation:
The letters in the simple interest formula ...
I = Prt
stand for ...
Interest = Principal x Rate x Time
Help me creas a geometric sequence please.
Create your own geometric sequence with 5 terms and define the common ratio and a1 in your sequence.
Step-by-step explanation:
2, 6, 18, 54, 162
ratio = 6/2 = 3
a1 = 2
The area of a rectangular playground is 78 square meters. If the length of the playground is 13 meters, what is its width?
Answer: It’s 6 meters
Step-by-step explanation:
if we know the area and the length we need to divide the two to get the width.
78 divided by 13. = 6
Explanation please...........
Answer:
my school
Step-by-step explanation:
block me from sieng the image
Answer:
answer: Hi = 15
Step-by-step explanation:
the larger shape is the same as the smaller shape just flipped over and bigger of course so to find this out you have to take 2 simular angles and find out what multiplied by the small angle will get the big angle so I see angles gh and ba are simular I try 4.5 ÷ 1.5 = 3 so 3 is how much the shape is being multiplied by so bc is simular to hi so I do 5 x 3 = 15 and theres are answer 15 is the length of hi hope this helps you!
guys I need help in both please
Answer:
Graph 1 is not proportional
Graph 2 is proportional - y is 2 times x
Step-by-step explanation:
In graph 1, there is no x-y correlation
In graph 2, there is, when x=1, y=6
when x=2, y=12. Therefore, when x=3 y would equal 18.
i give brainlesss if u help me
Answer:
91,858
Step-by-step explanation:
This is the right answer
Answer: the answer is B hope it helps
Step-by-step explanation:
16,468 plus 75,390 = 91858
A cylinder has a radius of 5 cm and a height of 12 cm, what is the volume?
Step-by-step explanation:
In a cylinder
Radius=r=5cmHeight=h=12cmWe know that
[tex] \boxed { \sf \: volume = \pi {r}^{2} h} \\ \rm \rightharpoonup \: \frac{22}{7} \times {5}^{2} \times 12 \\ \rm \rightharpoonup \: \frac{22}{7} \times 25 \times 12 \\ \rm \rightharpoonup \: \frac{6600}{7} \\ \rm \rightharpoonup \: 942.8cm {}^{3} [/tex]
Answer:
approx. 943 cm^3
Step-by-step explanation:
π × 5^2 x 12 = approx. 943 cm^3