please help this is important. no fake links.
The graph shows the relationship between x, the amount of time in hours, and y, the distance traveled in miles, by a probe before it reaches Mars. a) List 2 reasons why the graph represents a proportional relationship? b) Write an equation that represents the relationship between the hours (x) and the distance (y) the probe traveled. c) Use your equation to calculate how the distance the probe will travel in 10 hours.
Answer to part (b)
y = 12000x
Step-by-step explanation:
This function represented in the graph is a linear equation. Since the function passes through the origin (0,0) we can assume that y = mx for some number m.
According to the graph, the function passes through the coordinate (2,24000)
the 2 in the cooridnate represents the x value, and the 24000 represents the y value. Since the function passes through the origin we can find the number m by dividing the y value of the given cooridinate by the x value of the same cooridinate
m = 24000/2
which can be simplified to
m = 12000
Therfore the line on the graph is a representation of y = 12000x
This equation can be used to solve part (c) by plugging in 10 as the x value, this will return, 120,000
NOTE:
The method which was used to find the function only works if the graph passes through the origin.
please answer asap!!
The vertex of a parabola is (-2, -20), and its y-intercept is (0, -12).
The equation of the parabola is y= (blank)x^2 + (blank)x + (blank)
Answer:
-5
Step-by-step explanation:
3/5+1/4=
pls help !!!!!
Can u pls help me with this question
Answer:
80
Step-by-step explanation:
14 × 20 = 280
1400 - 280 = 1120
1120 ÷ 14 = 80
The equation 150s + 45h = 1,155 is used to determine the number of skateboards s and the number of helmets h that can be bought for $1,155. You purchase 5 skateboards. Select all the steps that may be used when solving for the number of helmets purchased.
A. Multiply both sides by 45.
B. Add 150s to both sides.
C. Subtract 150s from both sides.
D. Substitute 5 for s in the equation.
E. Divide both sides by 45.
Answer:
D & E
Step-by-step explanation:
150(5)+45h=1155 D
750+45h=1155
45h=405
h=9 E
If a stack of 40 nickels fits snugly in the coin wrapper shown, how thick is 1 nickel? Round to the nearest hundredth.
Question:
If a stack of 40 nickels fits snugly in the coin wrapper shown, how thick is 1 nickel? Round to the nearest hundredth.
Coin wrapper volume = 27,480 mm^3
Coin diameter = 21.18 mm
Answer:
The thickness of a coin is: 1.95mm
Step-by-step explanation:
Given
[tex]V = 27480mm^3[/tex] -- volume
[tex]d = 21.88mm[/tex] --- the diameter
Required
The thickness of each coin
This implies that, we calculate the height of each coin.
First, calculate the radius (r) of the coin
[tex]r = \frac{1}{2}d[/tex]
[tex]r = \frac{1}{2} * 21.18mm[/tex]
[tex]r = 10.59mm[/tex]
The volume of the coin is calculated as:
[tex]V =\pi r^2H[/tex]
Where H represents the total heights of the 40 coins
[tex]27480 = 3.14 * 10.58^2 * H[/tex]
Solve for H
[tex]H = \frac{27480 }{ 3.14 * 10.58^2}[/tex]
[tex]H = \frac{27480 }{ 351.480296}[/tex]
[tex]H = 78.1836145944[/tex]
The height of a coin is calculated by dividing H by 40
[tex]h = \frac{78.1836145944}{40}[/tex]
[tex]h = 1.95459036486[/tex]
[tex]h \approx 1.95mm[/tex]
Hence, the thickness of a coin is: 1.95mm
could i get some helpp with oneee
Answer:
3d one
Step-by-step explanation:
I need help with this question, Please help!
Answer:
the volume of a cube is equal to s3, where s is the length of a given side of the cube. Since the sides of a cube are all the same, the surface area of the cube is equal to 6 times the area of one face.
Step-by-step explanation:
total surface area prism=Laternal surface area +2(curved sectional area)
volume =area of base×height
For exercise, Francesca walks laps around a track. She walked 1 lap around the track in 4 minutes. If each lap is 440 yards, how fast did Francesca walk?
A.
125 yards per minute
B.
110 yards per minute
C.
400 yards per minute
D.
44 yards per minute
Answer: B
Step-by-step explanation: You divide 440 and 4
Answer:
B. 110 yards per minute
Step-by-step explanation:
This is because 110 x 4 is 440 or 110 +110 +100 +110 = 440
WILL GIVE BRAINLIEST
5. Find the length of arc in red. Leave answer in terms of pi.
A) 25 pi m
B) 27 pi m
C) 29 pi m
D) 31 pi m
Please help will give brainliest
Answer:
no
Step-by-step explanation:
[3(a-2) / (a+2)(a-2)] - [6a / (a+2)(a-2)] = -3/(a-2)
if line M is parallel to line and, in the slope of M is -5/7, what is the slope of line end? Your denominator must be positive
(easy question, easy points)
Answer:
I'm so sorry I don't know the answer but I thought you should know that your pfp is pogchamp :))
Dream Team is life :p
Last week at the grocery store the price of apples was $1.60. What will the price for 5 1/2 pounds of apples?
Answer: I think the answer is $8.80
Answer:$8.80
Step-by-step explanation: You would take the 1.60 times 5 to get the number 8. Then you would take 1.60 again and times it by 0.5 to get 0.8 or 0.80. And then you would add the 0.8 and the 8 together to get your total of $8.80.
i-Ready
Ron is paid $1,500 every month plus an additional $100 bonus for every tractor he sells, 2. Which equation represents the total amount of money, y, Ron makes each
month?
PLEASE ANSWER ASAP!
Answer: y= 100x +1500
Step-by-step explanation:
The 1500 value never changes, so it doesn’t need a variable
The 100 value will change based on how many he sells, so it needs a variable
Answer:
its the first one.
Step-by-step explanation:
the 1500 stays the same so it would be 100×how ever many tractors so 100z+1500
What is the slope of a line perpendicular to the line whose equation is x + 3y = -12
Answer:
5
Step-by-step explanation:
,
During the first week of a going-out-of-business sale, a store reduces all prices by 15%. The second week
of the sale, it reduces all items by an additional $4. If a calculator was bought for $47.00 during the
second week of the sale, find the original price of the calculator.
Find the slope-intercept form from the two points (0,8)
and (1, 10).
Answer:
y = 2x + 8
Step-by-step explanation:
We want an equation of the form y = mx + b (slope-intercept).
Look what happens to x as we go from (0, 8) to (1, 10): x increases by 1. This is the 'run' as we calculate the slope.
At the same time, y increases by 2 from 8 to 10.
The slope is defined as m = rise / run, and here is m = 2/1, or m = 2.
Write out y = mx + b and substitute 2 for m: y = 2x + b.
To find the y-intercept, substitute 0 (from (0, 8) ) for x and 8 for y:
8 = 2(0) = b, so b = 8, and the desired equation is
y = 2x + 8
Solve the equation 2.2x=3
Answer : The answer is 15/11 but you can simply this fraction which makes it to a decimal which would be 1.36 ( 36 is repeating )
if tan27° =k express the following in terms of k
1. sin 27°
Answer:
) ''You need to consider 200^o = 180^o + 20^o , hence you need to use the next formula to evaluate sin 200^o in terms of k:
sin (alpha + beta) = sin alpha*cos beta + sin beta*cos alpha
Plugging alpha = 180^o , beta = 20^o in the formula yields:
sin 200^o = sin (180^o + 20^o) = sin 180^o*cos20^o + sin 20^o*cos 180^o
Plugging sin 180^o = 0 and cos180^o = -1 in the formula yields:
sin 200^o = - sin 20^o = -k''
Step-by-step explanation:
''Given sin 20°=k express the following in terms of k a) sin 200° b) cos 20° c) tan(-20°) d) sin 70° Related to trigonometry.'' https://www.enotes.com/homework-help/given-sin-20-k-express-following-terms-k-sin-200-b-307263 hope this helps
a box of 24 frozen waffles is $4.77. what is the price per waffle?
Answer:
siudsckjznc
Step-by-step explanation:
If 1 cm represents 5m, what is the scale drawing length of 18m?
Answer:
3.6 cm
Step-by-step explanation:
5 divided by 18 is 3.6. so its 3.6
Someone help and plz make sure it’s right :)
The mean of a set of numbers is 8, and the mode is 9.
Which of the following sets of numbers do these values describe?
3, 7, 9, 9, 10, 14
1, 5, 8, 10, 11, 13
4, 6, 8, 9, 9, 12
3, 5, 7, 9, 12, 12
Answer:
C
Step-by-step explanation:
When calculating the area of a trapezoid, how do you determine which sides are the bases?
Here is a video to help you with your question:
https://youtu.be/WaeD3qKc7Jc
write 1.87 as a fraction.
Answer:
[tex]1\frac{87}{100}[/tex]
Step-by-step explanation:
A decimal is another way of representing a fraction such that the denominator of the fraction is a power of (10).
In the number (1.87), the number goes two places behind the decimal point, which means that the denominator of the fraction is (100), and the numerator is the given number excluding the decimal point.
[tex]\frac{187}{100}[/tex]
Simplify, write as a mixed number,
[tex]1\frac{87}{100}[/tex]
What is the the value of x. Pleaseeeee help I’ll mark you brainlist
Answer:
11.75
Step-by-step explanation:
All angles of a right triangle equal 180°.
So you have to do a substitution method to find the value of x.
Which leaves us with: angle 'A' = 5 × 11.75, angle 'B' = ((3 × 11.75) -4), and angle 'C' = 90. If you add all of them together it is equivalent to 180°.
∴ x = 11.75
plz plz help its shapes!!!! ill give u brainy !!!!!!
Answer:
Names that describe the shape- Trapezoid, Quadrilateral
Names that don't describe the shape- Square, Rectangle, Parallelogram and rhombus
Step-by-step explanation:
A cube has a surface area of 96 square inches. If 16 cubes are
combined to make a rectangular prism, what is the volume of the
rectangular prism?
Answer:
Step-by-step explanation:
A cube has 6 square faces with equal areas by definition. So a cube with a surface area of 96 units would have the surface area of each side be 96/6 = 16 square units.
Because each face of a cube is a square, it has 4 equal sides. This means that each side of the square is 16/4 = 4 units in length. Since each side of the square face is also an edge of the cube, and the way to calculate the volume of a cube is (length of an edge)^3, this means that the volume of the cube must be 4^3 = 64 cube units.
Volume of Cube = 64 cube units.
The volume of the rectangular prism formed by 16 cubes of each surface area of 96 square inches is 1024 inches³
Volume of a cube
volume of a cube = l³
where
l = side lengthTherefore,
Surface area of a cube = 6l²
Hence,
96 = 6l²
l² = 96 / 6
l = √16
l = 4 inches
Therefore,
volume of each cube = 4³ = 64 inches³
16 cubes forms the rectangular prsim. Therefore,
volume of rectangular prism = 16(64) = 1024 inches³
learn more on volume here: https://brainly.com/question/22992939
At a team meeting, 80% of the tennis team was there. If there were 12
people at the meeting, how many
people are on the team?
Answer:
15 people
Step-by-step explanation:
let x=total # of people on the team
80%=12
80/100=12/x
cross multiply
80x=1200
division property of equality (divide both sides by 80)
x=15
There are 15 people on the team.
help with math please
Answer:
1. 3
2. 2 ⅖
3. 1 3/7
4. 3 ⅕
5. 5
Step-by-step explanation:
basically to find the answer, just see how many times the bottom number can go into the top number, if its not even just put the extra into a fraction ex question 2 3 and 4.
