How do you identify the constant of proportionality when given a graph?
9. Expand using identites.
1) (3/2 m - 5n) (3/2 m + 5n)
Answer:
(3/2 m)^2 -(5n)^2^
Step-by-step explanation:
Answer: 9m^2 / 4 - 25n^2
Step-by-step explanation:
Use the identity: (a-b)(a+b)=a^2 - b^2
substitute values of a and b, where a=3/2m and b=5n.
The following simplifies to (3/2m)^2 - (5n)^2.
7th grade math <3 pls help heh
Answer:
a. 12a + 3b
b. 5b + 3a
Step-by-step explanation:
Which terms have the same thing applied to them? This is what I ask myself while figuring these out.
a. 5 and 7 both are multiplied by a, so you can combine the expressions to make 12a.
b. 10b - 5b = (10 - 5)b
Both 10 and 5 are multiplied by b, so you can just subtract the integers to get 5b.
I hope this helped!
Ava is buying 30 baseball caps and pays a total of $240. Each cap costs the same amount. Determine whether the situation below represents a direct proportion, and justify your reasoning. If so, find the constant of proportionality.
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The answer is 8 so its a direct proportion
I think...
The constant of Proportionality is 8.
What is constant of Proportionality?If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.
Given:
Total Baseball Caps= 30
Total amount of Cap= $240
let the number of caps sold be c.
Then, the equation is
30 c= 240
and, c= 240/30
c= 8
Hence, the constant of Proportionality is 8.
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The Cerca Middle School Student Committee is sponsoring a Math Fair for parents and students. Mr. Tilton's homeroom class is designing some of the questions for the students.
Nina created this pattern using trapezoid tiles.
How many unit trapezoids will be in pattern 16?
Answer: 256 trapezoids
Step-by-step explanation:
The amount of trapezoids is that pattern # squared. For example pattern #3 is 9 trapezoids. Therefore pattern #16 would have 256 trapezoids because 16^2=256.
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The frequency table shows how many visits to the library students in a school have made in the last month.
Visits Frequency
0 7
1 54
2 142
3 276
4 92
5 23
Work out the mean.
Give your answer rounded to 1 DP.
7. Draw a circle around the expression which is greatest when n is a negative number?
n²
A. n-2
B. 2n
C. n/2
D. 2/n
Answer: n-2
Step-by-step explanation: anything with negative would be subtraction ( any variable anyway )
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Alyson is restocking her pantry. She buys 4 kinds of canned soup: tomato (T), mushroom (M), vegetable (V), and chicken noodle (N). She also buys garlic croutons (G) and cheese croutons (C) to pair with the soups. Which TWO statements are TRUE for this situation?
A.{ T, M, V, N, G, C} is the sample space.
B.{TG, TC, MG, MC, VG, VC, NG, NC} is the sample space.
C.There are 8 serving combinations.
D.{T, M, V, N} is the sample space.
E.There are 6 serving combinations.
Answer:
A and D would be your 2 sample spaces
Step-by-step explanation: because we can see its clearly not C or E so that leaves us with A , B, and D. I belive that B isnt a asnswer choice so that leaves A, and D
mark me brainless please it helps me
hope this helps
I would say A and D
There is no way that E and C are the answer. B is a no because TG…? What does TG mean? Some of the letters in choice B doesn’t make sense to me.
Joseph was kayaking on the Hudson River. While looking at the Breakneck Ridge trail-head, he lost a whole bag of donuts. Joseph didn't realize he had lost it for fifteen minutes. That's when he turned back and started going in the opposite direction. When he found the bag, which was going at the speed of the Hudson's current, it was two miles from the Breakneck Ridge trail-head. What is the speed of the current in the Hudson River?
Answer:
8 miles per hour
Step-by-step explanation:
Actually pretty simple. It took 15 minutes for the bag to travel two miles from the Breakneck Ridge so it will be four miles per 30 minutes six miles per 45 minutes and 8 miles per hour.
Write the formula for the parabola that has x- intercepts (1.3,0) and (-1.3,0), and y- intercept (0,169).
Answer:
The y intercept is (0,1.69) and not (0,169)
Step-by-step explanation:
substituting, y=-1(x+1.3)(x-1.three) observe that this is distinction of squares y=-[x2-(1.3)2] , y=-(x2-1.69), y=-x2+1.69
7-4x=2+x+6-5x how many solutions
Answer:
Step-by-step explanation:
There is one solution to the equation 7-4x=2+x+6-5x. Solving for x gives x = 1, so there is only one solution.
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Answer:
A. On the x-axis
B. In Quadrant 2
Step-by-step explanation:
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A hardware store sells flower containers that are shaped like rectangular prisms. The dimensions of the container are shown below. Max needs to fill the container with dirt. What is the volume of the rectangular prism in square feet?
Answer:
B. 27 cubic feet
Step-by-step explanation:
V = l x w x h
V = 4.5 x 2 x 3
V = 27
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What is the answer to this?helppp
Answer: 6
Step-by-step explanation:
divde 5 by 2 them multiply your exponet
Answer:8/125
Step-by-step explanation:
How old is Eduardo if he will be 82 years old in six years? Write an equation. Use lower case x as your variable and no spaces. Just as we did in class, make sure that the variable is in the problem, not in the solution
Answer:
76
Step-by-step explanation:
Answer:
Eduardo is 76 years old
Step-by-step explanation:
If Eduardo's current age is x
and in 6 years he will be 82
Then, x = 82 - 6
x = 76
Fernando spent $20 of his $50 weekly allowance on snacks. What percent of his weekly allowance did he spend snacks?
Answer:
is the answer of 50 and spend 20 you have 30 left
Answer:
40%
Step-by-step explanation:
A good way to remember how to do percentages is starting with 10% of overall.
Overall, 10% of the $50 would be $5
you just move the decimal from $50.00 to $5.00
moving it to the left once, for ten percent
theres $20 so thats the 10x2
20 goes into 100, 5 times ...
It just so happens in this scenario, its 20% just like the $20 ... doesnt always happen like this.
To graph the point (4, -7) on the coordinate plane, start at the origin. Move 4 units _______ and 7 units ________ .
choices:
a
right.....down
b
left....down
Answer:
0 Start at the origin. Move 7 units to the right, then move 4 units up.
Step-by-step explanation:
You go in before you go up, the first number always goes either right or left, depending on if it's negative or positive, and the second number goes up or down, depending on if it's negative or positive.
A clothing store uses a markup of 60% on all items they purchase to sell. What is the retail price of a pair of shoes that originally costs $350?
Answer:
560
Step-by-step explanation:
i added 6p percent
Answer:
350, percentage increased by 60% (percent) of its value = 560
the ratio of boys to girls in the 6th grade is 2:3 if there are 75 students, how many more girls are there than boys?
Show your work.
Answer:
2:3 = 75
so 25 girls are there in the class
Step-by-step explanation:
A hamburger and fries costs $15, water cost $4, and an ice cream costs $5. Do I have enough money to buy all three items with the money I have left over after buying my ticket? Explain why or why not.
Please help and explain how you got your answer please!
Describe the error in finding the median of the data.
I would like some help please :). I'll give brainiest to right answer.
There is a closed carton of eggs in Mai's refrigerator. The carton contains eggs and it can hold 12 eggs.
What does the inequality e<12 mean in this context?
Answer:
The maximum amount of eggs (represented by e) the egg carton can hold is 12.
(btw you cld give me the eggs if ur not gonna eat em' XD)
Diego has 48 chocolate chip cookies, 64 vanilla cookies, and 100 raisin cookies for a bake sale. He wants to make bags that all have three cookie flavors and the same number of each flavor per bag.
How many cookies of each type are in each bag if he can make 16 bags without having any cookies left over?
Answer:
16
Step-by-step explanation:
48 - cc
64- v
100 - rc
43/3 = 16
64/3 = 21
100/3 = 33,(3)
Max number of bags is 16.
Answer: Here is the answer to that question and all of your questions:
https://staff.4j.lane.edu/~ruzicka/Cal_Young/math/Illustrative%20Math/Unit%207%20Rational%20Numbers/HW%20Keys/U7%20L17%20L18.pdf
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In Britain a Value Added Tax (VAT) of 17% is added to most purchases. If a skit costs $58.50 including tax, what is the price of the skirt before tax?
Answer:
i think it is 45.70
Step-by-step explanation:
Answer:
$48.55
Step-by-step explanation:
Make 17% into a decimal Multiply 0.17 and the number of Britain Value including tax Then take that number and subtract it by the number of Britain Value including taxEquation:
17% = 0.17
Why? The symbol % is called the percent sign. The expression 17% means 17 parts out of 100. Therefore, 17% is equivalent to the common fraction and to the decimal fraction 0.17.
0.17 × (Britain Value Including Tax) 58.50 = 9.945 to be exact but I rounded it up to 9.95 for easier use
58.50 - 9.95 = 48.55
So $48.55 is your answer
I hope this helped! Brainliest highly appreciated! Tell me if this is wrong I would like to know :) All of this written and solved by me. Except for the italic explanation of how to make 17% a decimal. You are free to use this explanation if needed so don't feel hesitant to copy and paste this. Have a wonderful and blessed day! -- Juri Davis
What is the vertical distance between point A(−1.5,1.25) and point B(−1.5,−0.75) ?
Answer:
Step-by-step explanation:
Input Data :
Point 1
(
x
A
,
y
A
)
= (-1.5, 1.25)
Point 2
(
x
B
,
y
B
)
= (-1.5, -0.75)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points =
√
(
x
B
−
x
A
)
2
+
(
y
B
−
y
A
)
2
Solution :
Distance between two points =
√
(
−
1.5
−
−
1.5
)
2
+
(
−
0.75
−
1.25
)
2
=
√
0
2
+
(
−
2
)
2
=
√
0
+
4
=
√
4
= 2
Distance between points (-1.5, 1.25) and (-1.5, -0.75) is 2
The vertical distance between the points A and B are D = 2 units
What is the distance between two points?Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )
The distance from A to B is the same as the distance from B to A
Distance between two points is the length of the line segment that connects the two points in a plane.
The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
This formula is used to find the distance between any two points on a coordinate plane or x-y plane
Given data ,
Let the distance between 2 points be represented as D
Now , let the first point be A ( -1.5 , 1.25 )
Let the second point be B ( -1.5 , -0.75 )
The distance D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
And , the vertical distance between A and B = |y-coordinate of A - y-coordinate of B|
So , the value of D = |1.25 - (-0.75)|
D = 2 units
Hence , the vertical distance is D = 2 units
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Help I need to know?
Answer:
Step-by-step explanation:
im lost