Is "The weight of a stack of standard 8.5x11 copier paper vs. number of sheets of paper." a proportional relationship?
Answer:Yes it is proportional because w=kp k=paper weight which is constant. The relationship between the weight of a stack of standard 8.5x11 copier paper vs number of sheets of paper is proportional.
Step-by-step explanation:
Answer: Yes it is a direct proportional relationship
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Explanation:
The equation is in the form y = kx, where
x = number of sheets of paper
k = weight of 1 sheet of paper
y = weight of all the x sheets of paper
x is some nonnegative whole number. The values of y and k are some nonnegative real numbers (aka any decimal values).
Note how if we had x = 0 pieces of paper, then y = 0 is the weight. So no paper leads to no weight. This visually is shown by the line y = kx going through the origin. All direct proportion equations go through the origin.
Each time we add a sheet of paper, we add on k ounces or k grams, or whatever units you're working with. The amount is constant assuming you are dealing with the same type of paper. Comparing y = kx with y = mx+b, we see that k plays the role of the slope or rate of change.
It took the Hendersons 6 1/4 hours to
travel 325 miles.
At this rate, how many miles could they
travel in one hour?
Answer:
52 miles
Step-by-step explanation:
They drive 325 miles in 6 1/4 hours. Convert 6 1/4 to 6.25 and divide. 325/6.25= 52 mph
Divide: 2 ÷ 1/2
A. 2
B. 16
C. 8
D. 4
Answer:
D
Step-by-step explanation:
hope this helps :)
if this did help, mark me brainliest
6. At a game, there were 24 adults and 10 children. Keeping the same ratio,
if there were 50 children, how many adults would be at the game? *
Answer:
The total number of adults will be: 120 adults
Step-by-step explanation:
Given that there were 24 adults and 10 children in a game.
Thus, adults to children ration = 24:10 or 24/10
If there were 50 children, how many adults would be at the game?Let 'x' be the number of adults when there 50 children.
so the ration of adults 'x' to 50 childern = x: 50 or x / 50
As the ratio is the same.
Thus,
24 : 10 = x : 50
24/10 = x/50
switching sides
x/50 = 24/10
x = 24/10 × 50
x = 120 adults
Therefore, the total number of adults will be: 120 adults
The perimeter of a square Is 176 centimeters. If the square is dilated by a scale factor of 0.75, what is the length of each side of the new square?
Answer: The answer is a decimal.
Step-by-step explanation:
Meg the Stallion placed 8 books on each shelf of a bookcase. If she shelves 32 books. How many shelves are needed?
Answer:
Meg thee Stallion would need to borrow 4 shelves from Cardi B
Answer:
4 shelves
Step-by-step explanation:
you can do 32 divided by 8 which gives you 4 or keep adding 8 until you get 32 and count how many times you had to add.
Plz need help rn What is m
Answer:
measure of angle p=
94
Step-by-step explanation:
ok 5 sided polygon= 540
so put all of those equal to 540
need to find x first
540=132+(4x-10)+(5x-11)+128+(4x+2)
simplify and combine like terms
x=23
now plug in for angle p
(4(23)+2)
94
3. Find f(2) given f(x)=3x^2+ 2x + 16
Answer:
32
Step-by-step explanation:
f(2)=3(2)^2+2(2)+16
f(2)=12+4+16
f(2)=32
A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 37 inches. One side of each tile is 2.5 inches longer than another side. What are the side lengths of the tile? The side lengths of the tile are ___Inches and ___ Inches.
Answer:
The side lengths of the tile are 8 Inches and 10.5 Inches.
Step-by-step explanation:
Perimeter of a parallelogram = 2(a + b)
Let
a = shorter side
b = longer side
b = a + 2.5 inches
The perimeter of each tile is 37 inches
Perimeter of a parallelogram = 2(a + b)
37 = 2{a + (a + 2.5)}
37 = 2{a + a + 2.5}
37 = 2(2a + 2.5)
37 = 4a + 5
37 - 5 = 4a
32 = 4a
Divide both sides by 4
a = 32/4
= 8
a = 8 inches
b = a + 2.5 inches
= 8 + 2.5
= 10.5 inches
b = 10.5 inches
The side lengths of the tile are 8 Inches and 10.5 Inches.
ΔABC is similar to ΔAXY by a ratio of 4:3. If BC = 24, what is the length of XY? triangles ABC and AXY that share vertex A where point X is between points A and B and point Y is between points A and C XY = 18 XY = 32 XY = 6 XY = 8
Answer:
[tex]XY = 18[/tex]
Step-by-step explanation:
Given
[tex]ABC:AXY = 4 : 3[/tex]
[tex]BC = 24[/tex]
Required
Find XY
Represent BC and XY as a ratio;
[tex]BC : XY = 24 : xy[/tex]
Recall that:
[tex]ABC:AXY = 4 : 3[/tex]
Equate both ratios;
[tex]24 : xy = 4 : 3[/tex]
Convert to fractions
[tex]\frac{24}{xy} = \frac{4}{3}[/tex]
Cross Multiply
[tex]xy * 4 = 24 * 3[/tex]
[tex]xy * 4 = 72[/tex]
Divide through by 3
[tex]xy * 4/4 = 72/4[/tex]
[tex]xy = 18[/tex]
Hence:
[tex]XY = 18[/tex]
Answer:
XY = 18
Step-by-step explanation:
How can
1/3x-2 = 1/4x+ 11 be set up as a system of equations?
A.
3y - X = -6
4y - x = 44
B.
3y + x = -6
4y + x = 44
C.
3y - 3x = -6
4y - 4x = 44
D.
3y + 3x = -6
4y + 4x = 44
Answer: c
Step-by-step explanation:
bc i said
Can someone please help me, i've just been sitting here trying to figure this out. please help me
Answer:
A) y=0.45x + 2.9
B) the plant grows 0,45 inches per day
C) the height and the number of days are highly related
D) 5.55
Step-by-step explanation:
Am in a rush sorry lol don’t have time to explain
Aye can one of y’all help me break this answer down (btw the total is 120)
Answer: 5t + (10x2) i believe. I don’t know what the question was but i’m guessing they wanted to know the equation..!
Step-by-step explanation: first ... add all the people up in the family which is 5 then you times that by a variable and since they bought all of them t- shirts the variable will be ‘t’ so that’s 5t then take 10x2 since they bought two pairs of sandals which cost $10 for each pair and your equation will be 5t + (10x2)
Which of the statements below is true for the following set of numbers?
42, 20, 36, 51, 60, 28
The range is 14 and the midrange is 35.
The
range is 60 and the midrange is 39.
The range is 40 and the midrange is 20.
The range and the midrange are equal.
Answer:
The range is 40 and the midrange is 20.
For the given number, the range is 40 and the midrange is 20. Option C is correct.
Given that,
42, 20, 36, 51, 60, 28,
Range, it is the set of values that come out to an outcome for a certain mathematical operation.
Here,
In the given series least number = 20
Largest number = 60
Range = 60 - 20 = 40
Midrange = 40 / 2 = 20
Thus, For the given number, the range is 40 and the midrange is 20. Option C is correct.
learn more about the range here:
https://brainly.com/question/12239390
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3 Which of these numbers is between -4 and 2 on the number line?" -6 3 -5 -1
Answer:-1
Source:trust me bro
A family used a professional decorator to help furnish their new home. The decorator selected $1,580 worth of furnishings. The family paid for the furnishings, plus 4.5% tax on the purchases. The decorator’s fee was 12% of the purchases, not including the tax.
Write an equation in the form of y=kx, using x to represent the decorator’s fee. Then use the equation to calculate the amount of that fee.
Please answer ASAP!!!
Answer:
Can you be more specific, like y is what and k is what because it tells us what x is but not the rest.
Step-by-step explanation:
Can someone plz help me it is timed ill give Brainliest if it is correct
Answer:
b
Step-by-step explanation:
I had this exactl question a while ago
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
Answer:
The answer is 315 inches
Step-by-step explanation:
180+75%
Answer:315
Step-by-step explanation:
What is the product of:
200 x 32.6.
Answer:
6,520
Step-by-step explanation:
Because that is the answer when you multiply them together.
Answer:
6,520
Hope this helps!
Last year, the average monthly revenue at the Richmond Times newspaper was $82,980. So far this year, the average has been 25% more than last year. What is the average revenue so far this year?
Answer:
103,725
Step-by-step explanation:
82,980x.25+82,980
Find the slope of the line passing through the points (-7, 8) and (5.-7).
Answer:
slope is 15/-12
Step-by-step explanation:
:)
Solve x for me please I need it!!!
Answer:
The angle x° = 34°
Step-by-step explanation:
Given the right-angled triangle
right angle = 90° Given the angle = 56°We know that the sum of angles of a triangle = 180°
so
90° + 56° + x° = 180°
x° = 180°- 90° - 56°
x° = 34°
Therefore, the angle x° = 34°
hich correctly describes how the graph of the inequality 4x − 2y > 20 is shaded?
Answer:
First we need to express y in this inequality:
-2y > -4x + 20
-y > -2x + 10
y < 2x - 10
The line isn't solid because the "less" sign doesn't include equal in it.
Because the sign is "less than" the shaded part is Below the line.
Merging these 2 conclusion we get the answer:
below the dashed line.
Step-by-step explanation:
Please give me the answer.
Answer:
1: 3, 1/3
2: 9, 1/9
3: 27, 1/27
4: 81, 1/81
PLEASE HELP ME I NEED HELP ITS DUE RIGHT NOW
Answer:
a
Step-by-step explanation:
Answer:
I think its the number of months
Step-by-step explanation:
It could be the number of months because its kinda independent. If you think about it, the cost is depending on the number of months-(you pay depending on the number of months). It could also be the $30 because it really doesn't depend on anything.
Hope this helps:)
gcf of 15 and 40 Lmc of 15 and 40
Answer:
gcf: 5
lcm: 120
Step-by-step explanation:
Solve for x.
14x + 18 + x = −112(x + 36) + 13
A
x = −6
B
x = −3
C
x = 3
D
x = 6
Answer:
x = -4037/127
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Step-by-step explanation:
Step 1: Define
14x + 18 + x = -112(x + 36) + 13
Step 2: Solve for x
Distribute -112: 14x + 18 + x = -112x - 4032 + 13Combine like terms: 15x + 18 = -112x - 4019Add 112x on both sides; 127x + 18 = -4019Isolate x term: 127x = -4037Isolate x: x = -4037/127Answer:
The correct answer is a.) x=-6
Step-by-step explanation:
A 30ft electric line is suspended between the tops of two 20ft electric poles on level ground. The lowest point of the line is 5ft above the ground. What's the distance between the two electric poles?
Answer:
There is no distance between them
Step-by-step explanation:
For a 30 ft electric line to be placed between two 20ft electric poles, it would take 15 ft of the electric line to go down to about 5 ft above the ground and another 15 ft of the line to go to the top of the second electric pole. This means that a total of 30ft (15 ft + 15 ft) electric line would be needed which is all the cable we have.
For this to be possible then the poles must be adjacent to each other (i.e. no distance between them).
Solve: x^2-x-6=0
Show your wrok
or
x=3The factors of which -6 which sum to -1 are -3 and +2(x-3) (x+2)=2Equate each factor to zero and solve for xx +2=0→x=-2x-3=0→x=3.Evaluate. -|-2 + 9| 7 -7 -11
Answer:
= −67
Step-by-step explanation:
Answer:
the correct answer is -7 i had this on a test
Step-by-step explanation: