Find the slope of the line (-1,-4) , (-4,2)
Answers
Run = 3
-6/3 = -2
Slope = -2
Related Questions
The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of 8 cases and its height are shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.
Answers
Answer:
a. The equation is y = 19 x
b. The height of 13 DVD cases is 247 mm
Step-by-step explanation:
- A proportional relationship is about two quantities vary directly with
each other
- Ex: If y proportion to x, then y is varies directly with x
That means y ∝ x ⇒ y = k x, where k is the constant of variation
- The height of a stack of DVD case is proportional to the number of
case in the stack
- That means the height of DVD cases varies with the number of cases
- The height of 6 DVD case is 114 mm
a.
∵ The number of cases = x
∵ The height of the cases = y
∴ y ∝ x
∴ y = k x
- To find k lets use the first information above
∵ y = 114 mm when x = 6
- Substitute these values in the equation above to find k
∵ 114 = 6 k
- Divide both sides by 6
∴ k = 19
- Substitute the value of k in the equation above
∴ y = 19 x
* The equation is y = 19 x
b.
- We need to find the height of 13 DVD cases
∵ y = 19 x
∵ x = 13
- Substitute the value of x in the equation
∴ y = 19 × 13
∴ y = 247 mm
* The height of 13 DVD cases is 247 mm
The height will be 143 mm for a stack of 13 DVD cases.
What is the constant of proportionality?The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.
The overall height of the 8 cases stacked on top of each other is 88 mm.
Because you need to know the height of each individual DVD case, divide the height (88 mm) by the number of DVD cases (8):
⇒ 88/ 8 = 13
⇒ 88 ÷ 8 = 13
Then it asks for the height of a stack of 13 cases, so multiply the 11 (the height of each DVD case) by 13:
11 × 13= 143
Therefore, 13 DVD cases stacked on top of each other have a height of 143 mm.
To learn more about the constant of proportionality here:
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The question seems to be incomplete the correct question would be:
The height of a stack of DVD cases is in proportional relationship to the number of cases in the stack. A stack of 8 cases and its height is shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.
The height of the 8 cases stacked on top of each other is 88 mm.
A high school class wants to make atleast $1500 by hosting a dance. The class knows that hey will make $500 in refreshments.
If the class sells tickets for $5 what’s the inequality to determine the number of tickets the class would need to sell to make at least $1500.
And determine the number of ticket the class would need to sell to make $1500
Answers
Answer:
1000=5x
Step-by-step explanation:
200 tickets
200*5 is 1000. 1000+500 is 1500
Help please I’lol really appreciate it
Answers
Answer:
j+z+12
Step-by-step explanation:
the quotient of a number and 15 plus 1
Answers
Answer:
The equation for this is 15÷n+1
Step-by-step explanation:
Hope this helps!
Javier has a cell phone plan that allows him to use up to 4 gigabytes (GB) of data per month. Streaming videos is the only action he does on his phone that uses up this data. Each time he streams a video, the number of gigabytes of his phone's data plan dec
Answers
Answer:
d=4-0.004m
Step-by-step explanation:
i did it on khan academy
Solve for r.
19.72 = 4r
Answers
Answer: R = 4.93
Step-by-step explanation:
19.72/4 = 4.93
:)
HELP ASAP DUE TOMORROW!!!
On a family outing, Tyler bought 5 cups of hot cocoa (x)
and 4 pretzels (y) for $18.40. Some of his family members
would like a second serving, so he went back to the same
food stand and bought another 2 cups of hot cocoa (x) and
4 pretzels (y) for $11.20.
Answers
Answers:
x = 2.40
y = 1.60
This means 1 hot cocoa costs $2.40 and 1 pretzel costs $1.60
=======================================
Work Shown:
x = cost of 1 cup of hot cocoa
y = cost of 1 pretzel
5x = cost of 5 cocoas
4y = cost of 4 pretzels
5x+4y = cost of 5 cocoas+4 pretzels
5x+4y = 18.40
----------------
2x = cost of 2 cocoas
4y = cost of 4 pretzels
2x+4y = cost of 2 cocoas+4 pretzels
2x+4y = 11.20
----------------
The system of equations we have is
[tex]\begin{cases}5x+4y = 18.40\\2x+4y = 11.20\end{cases}[/tex]
Note how 4y shows up twice. This is handy to be able to get rid of the y terms completely.
How? By subtracting the equations straight down
The x terms subtract to 5x-2x = 3x
The y terms subtract to 4y-4y = 0y = 0 and they go away
The right hand sides subtract to 18.40 - 11.20 = 7.20
After those three separate subtractions, we have this new equation:
3x = 7.20
Divide both sides by 3 to isolate x
3x/3 = 7.20/3
x = 2.40
Each hot cocoa costs $2.40
Now use this x value to find y. You can pick any equation you want as long as it has x,y in it. I'll pick the first equation
5x+4y = 18.40
5(2.40)+4y = 18.40
12+4y = 18.40
4y = 18.40-12
4y = 6.40
y = 6.40/4
y = 1.60
Each pretzel costs $1.60
If we picked on the second equation, we should get the same y value
Let's find out
2x+4y = 11.20
2(2.40)+4y = 11.20
4.80+4y = 11.20
4y = 11.20-4.80
4y = 6.40
y = 6.40/4
y = 1.60
We get the same result as before.
To check the answers, you need to plug those values back into the two original equations and simplify. You should get the same thing on both sides.
what is 2 to the power of 8 minus 10 minus 15 divided by 3
Answers
Answer:
241
Step-by-step explanation:
241
Answer:
241
Step-by-step explanation:
2^8 - 10 -15 / 3
256 - 10 - 15 / 3
256 - 10 - 5
246 - 5
241
Hope this helps!
The volume of a rectangular prism is 504 cubic centimeters. If the length of a rectangular prism is 9 centimeters and the width is 8 centimeters, what is the height?
Answers
Answer:
7 cmStep-by-step explanation:
Given:Volume of a rectangular prism ( V ) = 504 [tex]\sf{ cm^{3} }[/tex]
Length of a rectangular prism ( l ) = 9 cm
Width of a rectangular prism ( w ) = 8 cm
To find:Height of a rectangular prism ( h ) = ?
Volume of a rectangle = lwh[tex]\dashrightarrow[/tex] 504 = 9 * 8 * h
[tex]\dashrightarrow[/tex] 504 = 72 h
[tex]\dashrightarrow[/tex] 72h = 504
[tex]\dashrightarrow[/tex] h = [tex]\frac{504}{72}[/tex]
[tex]\dashrightarrow[/tex] h = 7 cm
The height of a rectangular prism is 7 cm.
Hope I helped!
Best regards!
~TheAnimeGirl
The height is 7 cm of the rectangular prism whose volume is 504 cm³.
What is a rectangular prism?A rectangular prism is a solid three-dimensional structure with six faces and rectangular bases. A rectangular prism is also a cuboid. A cuboid and a rectangular prism have the same cross-section.
Given, The volume of a rectangular prism is 504 cubic centimeters. If the length of a rectangular prism is 9 centimeters and the width is 8 centimeters.
From the general formula of the rectangular prism
Volume = length *width *height
Substituting the data given above
504 = 9 * 8 * height
Height = 7 cm
Therefore, the Height of the rectangular prism is 7 cm.
Learn more about rectangular prism here:
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Which is equivalent to
Answers
Answer:
-12
Step-by-step explanation:
-36 divided by 3 = -12
Find the value of x. Then find the measure of each angle.
Answers
Answer:
1)103
2)103
3)77
Step-by-step explanation:
(first, look at the photo)
x + (x - 26) = 180
2x - 26 = 180
2x = 206
x = 103
2.angle= 103
3.angle = 103 - 26 = 77
hope this helps ^-^
Identify h (x) = [x] + 4
A.
direct variation function
B.
constant function
C.
absolute value function
D.
greatest integer function
Answers
Answer:A- direct variation function
Step-by-step explanation:
h(x) = [x] + 4 is in A. direct variation function as we increase the value of x the function h(x) will also increase and vice versa.
What is proportion?Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, h(x) = [x] + 4, as we increase the value of x the function h(x) will also increase and vice versa.
So, h(x) = [x] + 4 is in direct variation.
learn more about direct variation here :
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Analyze the diagram below and complete the instructions that follow.
Find the value of x and the value of y.
A. X= 23.y=413
B. 1 = 3, y = 613
C. = 6/3, y = 12
D. x= 23, y = 6
Answers
Answer:
x = [tex]2\sqrt{3}[/tex] , y = [tex]4\sqrt{3}[/tex] ⇒ A
Step-by-step explanation:
In the 30°-60°-90° triangle, there is a ratio between its three sides
The length of the side opposite to the angle of measure 30° is half the length of the hypotenuseThe length of the side opposite to the angle of measure 60° is half the length of the hypotenuse times [tex]\sqrt{3}[/tex]→ 30° : 60° : 90°
→ 1 : [tex]\sqrt{3}[/tex] : 2
In the given figure
∵ The length of the hypotenuse is y
∵ The length of the side opposite to the angle of measure 30° is x
∵ The length of the side opposite to the angle of measure 60° is 6
→ By using the ratio above
→ 30° : 60° : 90°
→ 1 : [tex]\sqrt{3}[/tex] : 2
→ x : 6 : y
→ By using cross multiplication
∵ x × [tex]\sqrt{3}[/tex] = 1 × 6
∴ x [tex]\sqrt{3}[/tex] = 6
→ Divide both sides by [tex]\sqrt{3}[/tex]
∴ x = [tex]\frac{6}{\sqrt{3}}[/tex]
→ Simplify it by multiplying up and down by [tex]\sqrt{3}[/tex]
∴ x = [tex]\frac{6\sqrt{3}}{3}=2\sqrt{3}[/tex]
∴ x = [tex]2\sqrt{3}[/tex]
∵ y × [tex]\sqrt{3}[/tex] = 6 × 2
∴ y [tex]\sqrt{3}[/tex] = 12
→ Divide both sides by [tex]\sqrt{3}[/tex]
∴ y = [tex]\frac{12}{\sqrt{3}}[/tex]
→ Simplify it by multiplying up and down by [tex]\sqrt{3}[/tex]
∴ y = [tex]\frac{12\sqrt{3}}{3}=4\sqrt{3}[/tex]
∴ y = [tex]4\sqrt{3}[/tex]
Question 5 of 10 If f(x) = 4x - 12, what is f(2)? h O A. -20 O B. 8 O c. -4 O D. 4 SUE
Answers
Answer:
-4
Step-by-step explanation:
The radius of the red circle is 7 units and the distance between the two circles is 3 units.
What is the diameter of the red circle?
A 8 units
B 12 units
C 14 units
D 20 units
Answers
Answer:
14
Step-by-step explanation:
The diameter is always the same as 2*the radius, so if the radius is 7, the diameter is 14. Most of the information presented is unrelated.
What must 111,111,102 be divided by to get 9 as the quotient and 0 as the remainder?
Answers
EXPLANATION:
we can work backwards by figuring out what 9(the answer) is multiplied by to get 111,111,102 (the starting number) we can do this by dividing by 9:
111,111,102/9 = 12,345,678
so: 9 * 12,345,678 = 111,111,102
which also means
111,111,102/12,345,678 = 9 (with 0 as a remainder)
what is 4%5*7-2= to?
Answers
how many times 92 go in too 100
Answers
Answer:
5
Step-by-step explanation:
Answer:
1 time
Step-by-step explanation:
brainliest if right
only answer if you think you have it right
Answers
Answer:
b
Step-by-step explanation:
Just graph 3x+5 and you'll see that it passes through the point (-4,-7) and has the matching slope as well. None of the others match the criteria.
B is the answer
Step-by-step explanation:
I did it before
Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.
The perimeter is 70ft . and the width is 16ft .
Answers
Answer:
Step-by-step explanation:
Givens
P = 2*L + 2*W
P = 70
w = 16
Solution
70 = 2L + 2*16
70 = 2L + 32
70-32 = 2L
38 = 2L
38/2 = 2L/2
L = 19
Write an equation in point-slop form that
goes through the points (5, 7) and (-1, 3).
Answers
Answer:
y−7=2/3⋅(x-5)
Step-by-step explanation:
Find the point-slope form.
URGENT PLEASE HELP !! which two ratios represent quantities that are proportional
Answers
A recycling truck begins its weekly route at the recycling plant at point A, as pictured on the coordinate plane below. It travels from point A to point B, then points C, D, and E, respectively, before returning to the recycling plant at point A at the end of the day. The truck’s route is illustrated on the coordinate plane below. If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?
Answers
Answer:
78
Step-by-step explanation:
Answer:
i need a photo
Step-by-step explanation:
A farmer paid $500 per month for deliveries over 10 months. For the other 2 months of the year, he paid $600 per
month. Which numerical expression can be used to find the total the farmer paid for deliveries this year?
Answers
Answer:
500(10) + 600(2)
Step-by-step explanation:
HELPP ME PLEASEEE
ill give brainiest to whoever answers first
Answers
Answer:
the answer is d
Step-by-step explanation:
it would be 9.7 x 10^3
Four out of nine dogs weigh less than 20 pounds.
What is the decimal equivalent for the number of dogs weighing less than 20 pounds
Answers
Answer:
.44 repeating would be your decimal of dogs that weigh under 20 pounds.
Step-by-step explanation:
Answer:
.44
Step-by-step explanation:
is 7.66 a rational number
Answers
Answer:
yes
Step-by-step explanation:
Solve.
5
2x+
1
2x=5
1
2+
7
2x
The value of x is
Answers
Answer:
-64
Step-by-step explanation:
help please i’m on a timer
Answers
Answer:
x=19
Step-by-step explanation:
90-71=19
HELP URGENT!!!!!!!!!!!!!!!!!!!
NEEDED IN 10 MINUTES
Answers
Answer:
1. 124 degrees 2.141 degrees
3. b then a 4.b then b
Step-by-step explanation: