Answer:
Yes, y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship and the constant of proportionality is [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality
If x and y are proportion, then y = k x, where k is the constant of proportionalityThe proportional relationship represented graphically by a line passing through the origin point (0, 0)Let us solve the question
∵ y = [tex]\frac{1}{5}[/tex] x
→ It the same as the form of the proportional equation above
∵ [tex]\frac{1}{5}[/tex] is a constant
∴ y is the product of x and constant
∴ y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship
Substitute x by 0 to find y and show it represented by a line passing through the origin
∵ x = 0
∴ y = [tex]\frac{1}{5}[/tex] (0) = 0
→ That means point (0, 0) lies on the line which represents the equation
∴ The line which represents this relation is passing through the origin
∴ y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship
∵ y = kx, k is the constant of proportionality
∵ y = [tex]\frac{1}{5}[/tex] x
∴ k = [tex]\frac{1}{5}[/tex]
∴ The constant of proportionality is [tex]\frac{1}{5}[/tex]
What is the range of the function f(x) = 2x+3
Answer: (-∞,∞)
Step-by-step explanation: The line extends forever in both directions meaning that the endpoints will be negative infinity and infinity.
6. Solve X^2 - 3x - 10=0 by factoring,
F-5, -2)
G(-2,5)
H{-2,-5)
J{5,-2)
x₁ = 5
x₂ = - 2
Step-by-step explanation:Hi there !
x² - 3x - 10 = 0
x² + 2x - 5x - 10 = 0
x(x + 2) - 5(x + 2) = 0
(x - 5)(x + 2) = 0
x - 5 = 0 => x₁ = 5
x + 2 = 0 => x₂ = - 2
Good luck !
Mary has a bag with 80 pieces of candy. She gives ¼ of her candy to John and 10% to Lisa. How much more candy did she give to John then Lisa?
Answer:
12 pieces
Step-by-step explanation:
80 pieces of candy
1/4 is 25% or 20 pieces of candy
10% would be 8 pieces of candy
subtract the two. Your answer is 12
Answer:
He had 14 more pieces
Step-by-step explanation:
So 80/4 is 20 pieces. So we know John has 20. Now she has 60 left since 80-20 is 60. Now 10 percent of 60 would be 6 pieces. We can subtract 6 from 20 to find out how many more pieces John had. 20-6 is 14. So John had 14 more than Lisa
what is the value of x in the equation 2/3(6x-9)=2(x+12)
Answer:
x=15
Step-by-step explanation:
hope this helps
Explain how you can determine that the following
system has one unique solution – without actually
solving the system.
2x+y = 4
2y = 6- 2x
Martel sold 7 cups of lemonade at his lemonade stand. How many fluid ounces did he sell?
Answer: Your answer is 56 fluid ounces
Step-by-step explanation: 1 cup (in the us) is equivalent to 8 fluid ounces (in the us) and 8 times 7 is 56!
Hope this helps, if not, comment below please!!!
Answer:
56 fluid ounces
Step-by-step explanation:
One cup has 8 fluid ounces and one fluid ounce is 0.13 cups.
cup * 8 = fl-oz
Solve the following system of equations using substitution or elimination. 4x-2y+3z=1
x+3y-4z=-7
3x+y+2z=5
PLEASE HELP !!!
[1] 4x - 2y + 3z = 1
[2] x + 3y - 4z = -7
[3] 3x + y + 2z = 5
Add -4 [2] to [1], and add -3 [2] to [3] to eliminate x :
-4 (x + 3y - 4z) + (4x - 2y + 3z) = -4 (-7) + 1
-4x - 12y + 16z + 4x - 2y + 3z = 28 + 1
[4] -14y + 19z = 29
-3(x + 3y - 4z) + (3x + y + 2z) = -3 (-7) + 5
-3x - 9y + 12z + 3x + y + 2z = 21 + 5
-8y + 14z = 26
[5] -4y + 7z = 13
Add 2 [4] to -7 [5] to eliminate y :
2 (-14y + 19z) - 7 (-4y + 7z) = 2 (29) - 7 (13)
-28y + 38z + 28y - 49z = 58 - 91
-11z = -33
z = 3
Plug this into either [4] or [5] to solve for y :
-4y + 7 (3) = 13
-4y + 21 = 13
-4y = -8
y = 2
Plug both of these solutions into either of [1], [2], or [3] to solve for x :
x + 3 (2) - 4 (3) = -7
x + 6 - 12 = -7
x = -1
12(8 – 5) idk to anwsher plz hefp
Answer:
36
Step-by-step explanation:
12(8-5)
12 * 3
36
Answer:
36
Step-by-step explanation:
(8-5) =3 then u do
12x3=36
The crew on a fishing boat caught four fish that weighed a total of 1,080 pounds. The
tarpon weighed twice as much as the amberjack
and the white marlin weighed twice
as much as the tarpon. The weight of the tuna was 5 times the weight of the
amberjack
How much did each fish weigh?
The amberjack weighed
pounds.
The tarpon weighed
pounds.
The marlin weighed
pounds.
The tuna weighed
pounds.
Kk
Answer:
Step-by-step explanation:
First, We highlight key details. Here we can use the information 1,080 pounds, tarpon weighed twice as much as the amberjack, the white marling weighed twice as much as the tarpon, and the tuna weighed 5 times the weight of the amber jack. And....I'm lost. Do you think you could help me figure it out by finding the first one? if you do that would be great, and I'll be sure to update my question. Thank you! ^^)
I need help really quickly with this one!
Answer: A (y = 1)
Step-by-step explanation:
when dividing, dividing by 0 equals an undefined fraction, therefore, if y was equal to 1, it would cancel out the y - 1, making it 0. I hope that's right :0
Which point is on the line that passes through point Z and is perpendicular to line AB? (–4, 1) (1, –2 ) (2, 0) (4, 4)
Answer:
the answer is (-4,1)
Step-by-step explanation:
Answer:
It's A
Step-by-step explanation:
347 is what in expanded form
Answer:
300+40+7
Step-by-step explanation:
A recipe uses 5 cups of flour for every 2 cups of sugar.
How much flour is used for 1 cup of sugar
Answer:
2.5
Step-by-step explanation:
If the ratio is 5:2, then you just have to divide 5 / 2.
5 / 2 = 2.5
Answer:
If 5 cups of flour= 2 cups of sugar
1 cup=1×2/5
=2/5
Step-by-step explanation:
If 40x = 400, then A. x equals 100. B. x equals 10. C. I equals 4. O D. x equals 1. E. requals 0 ).
Answer:
B- x= 10
Step-by-step explanation:
40x=400 -> 40 x 10= 400
The value of x in the expression 40x = 400 by combining like terms would be 10. Hence, option B is true.
Given that,
The expression is,
40x = 400
Used the concept of expression by combining like terms.
Here, the expression is,
40x = 400
Divide both sides by 40,
x = 400/40
Therefore, the solution of x is,
x = 10
So, Option B is true.
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Can someone help me figure out what are the two checkpoints?
Answer:
13,000 ft.
Step-by-step explanation:
X -------10960----------C---------------D---------------Y
The entire race (from X to Y) is 7 miles. There are 5,280 ft. in one mile, so 7 miles is 36960 ft.
If we subtract 10,960 from 36,960, then we get the distance from C to Y.
36960-10960 = 26000
They tell you D is at the midpoint between C and Y
So if we divide 26,000 by 2, then we know the distance from C to D and from D to Y.
26000/2 = 13000
The checkpoints are C and D, so the distance between them is 13,000 ft.
Suppose there is a 27.4% probability that a randomly selected person aged 40 years or older is a jogger. In addition, there is a 29.3% probability that a randomly selected person age 40 years or older is male, given that he or she jogs.
Required:
a. What is the probability that a randomly selected person age 40 years or older is male and jogs?
b. Would it be unusual to randomly select a person aged 40 years or older who is male and jogs?
Answer:
a
[tex]P(M \ n \ J ) = 0.0802 [/tex]
b
Yes
Step-by-step explanation:
From the question we are told that
The probability that a random selected person of age 40 years or older is a jogger is [tex]P(J) = 0.274[/tex]
The probability that a random selected person of age 40 years or older is a male given that he/she jogs is [tex]P(M |J) = 0.293[/tex]
Generally the probability that a randomly selected person age 40 years or older is male and jogs
[tex]P(M \ n \ J ) = P(M|J) * P(J)[/tex]
[tex]P(M \ n \ J ) = 0.293 * 0.274 [/tex]
[tex]P(M \ n \ J ) = 0.0802 [/tex]
Generally it would be unusual because the probability that a randomly selected person age 40 years or older is male and jogs is greater than 0.05[border line for statistical significance]
The greatest comen factor of 21, 30,49
Which expression is equivalent to the given expression after using the distributive property? 9(x + 3) + 15x
9 · x + 9 · 3 + 9 · 15x
9(x + 3 + 15)x
9 · x + 3 + 15x
9 · x + 9 · 3 + 15x
Answer:
9 • x + 9 • 3 + 15x
Step-by-step explanation:
You have to divide 9 by each term inside the parenthesis. 15x isnt multiplied or added to anything else so it stays the same.
I need some help I suck at math♂️♂️
Answer:
x = 11
Step-by-step explanation:
Add 7/6 to each side, so it now looks like this: 5/6x = 55/6Divide each side by 5/6 to cancel out the 5/6 next to x. It should now look like this: x = 11I hope this helps!
Evaluate 4m+23+n/p−3, when m=7, n=2, and p=8.
Answer:
48 1/4
Step-by-step explanation:
plug in the values of m,n,p
4*7+23+2/8-3
= 28+23+1/4-3
= 28+23-3+1/4
= 28+20+1/4
= 48 1/4
i need your help and to try this out so can you please answer dis
-2(x+6)
Answer:
12x - 12
Step-by-step explanation:
-2(x + 6)
open the parenthesis
-2 * x + -2 * 6
-2x - 12
-2x - 12
There are 16 squares and 20 triangles. What is the simplest ratio of squares to total shapes?
Answer:
1:6
Step-by-step explanation:
There are 20 triangles and four squares, so we know the first part of the ratio is 4. The total number of shapes is 24, so we get 4:24, and if we simplify, we then get 1:6.
Hope this helps!
There is a total of 16 squares, then the ratio of squares to total shapes is 4:9.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the given information provided by the question is,
Total number of squares = 16
Total number of shapes = 16 + 20 = 36
Ratio between squares and total shapes,
= 16 : 36
= 4 : 9.
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Is <1 and <7 supplementary
I will give the BRAINIEST!!! Please help!!
The partial blueprint for an office building shows one outer wall and a perpendicular inner wall. Which of the following could be the equation of the inner wall, if the outer wall is represented by the equation y = 2/5x-1
a. y= -5/2x -4
b. y= -2/5x-4
c. y=5/2x-4
d. y=2/5x-4
Answer:
a. y= -5/2x -4
Step-by-step explanation:
An equation that is perpendicular to another equation must have the opposite slope. In other words, the perpendicular equation will be the opposite sign & the reciprocal of the equation it is perpendicular to. In this case, the perpendicular slope is -5/2x. Therefore, the only answer possible is a.
the two Marked angles are congruent yes or no will mark brainest
Answer:
true
Step-by-step explanation:
if the vertical lines are not parallel, then the corresponding angles are not congruent.
8x + 2 = 14x - 76
8x - 14x = -76 -2
-6x = -78
x = 13
8(13) + 2 = 14(13) - 76
106 = 106---- equal
the vertical lines is a bit confusing.... they looks like not a parallel lines
Hello, if someone can help me with this question that would be great!
Answer:
y = -5x+0
or y = -5
because the gradient is -5 and the y intercept is 0
Haley walked a total of 6 kilometers by making 2 trips to school. How many trips will Haley
have to make in all to walk a total of 18 kilometers? Solve using unit rates.
Answer: 6 trips
Step-by-step explanation:
Given a linear equation with a slope of - 13/4, determine the slope of a line that is perpendicular. Enter the answer as a fraction.
Answer:
4/13
Step-by-step explanation:
To find the perpendicular slope, find the negative reciprocal, which is 4/13 in this case. All you do is flip the numerator and denominator, and change the sign.
Answer:
4/13 should be the answer as it is the reciprocal.
Step-by-step explanation:
I learned this like 2 or 3 years ago so im a bit rusty but im pretty sure thats the answer
You launch a model rocket that has a mass of 1 kg. At a height of 500 m, it is
traveling at 120 m/s. What is its kinetic energy at this point?
A. 7,200 J
B. 60 J
C. 14,400 J
D. 29 J
This is for apex i need help asap
The cost of a pair of shoes was reduced from $60 to $45.
By what percent did the cost of the pair of shoes decrease?
A 2.5%
B 25%
C 30%
D 35%
Answer:
B. 25%
Step-by-step explanation:
25 percent of 60 would be 15, then if you subtract 15 from 60, you end up with 45, meaning that 25 percent was subtracted.
The percentage is the ratio of change with respect to the original thus cost of a pair of shoes has been reduced by 25% thus option (B) will be correct.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The initial cost of a pair of shoes = $60
Final cost of a pair of shoes = $45
Change in cost = 60 - 45 = 15
The percentage change = change / initial value
Percentage = 15/60
⇒ 0.25 × 100 = 25%
Hence "The cost of a pair of shoes has been reduced by 25%".
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