1. Which equation shows the proportional
relationship in the table?
Time (weeks) 2 5 10
Trees Planted 130 325 650
A y = 2x
B y = 65x
C y = 130x
D y = 2x + 130
please help.
Answers
Answer:
B. [tex] y = 65x [/tex]
Step-by-step explanation:
Equation showing a proportional relationship between two quantities, is usually written as [tex] y = kx [/tex]. Where,
y = output/dependent variable
x = input/independent variable
k = constant of proportionality that exists between each pair of values given.
In this case:
y = trees planted
x = time (weeks)
To find the constant of proportionality, k, use any given pair as (x, y). Let's use (10, 650).
Substitute y = 650 and x = 10 into [tex] y = kx [/tex], and solve for the value of k.
[tex] 650 = k(10) [/tex]
Divide both sides by 10
[tex] \frac{650}{10} = k [/tex]
[tex] 65 = k [/tex]
[tex] k = 65 [/tex]
Substitute k = 65 into [tex] y = kx [/tex] to generate the equation that shows the proportional relationship in the table:
[tex] y = 65x [/tex]
Related Questions
What is the value of x in the equation (4x – 1) - 3x =
<= -(x + 2)?
1 3 19
16 16 16
3
X =
Answers
Answer:
Step-by-step explanation:
x − 1. _. 3. = 3 by 3 gives x − 1 = 9 and then adding 1 to both sides of x − 1 = 9 gives x = 10. Choices A, B ... written as the equation 16 + 4x = 10 + 14, which is equivalent to 16 + 4x = 24. Subtracting
What is the constant of proportionality between y and x in the graph?
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Answer:
y=2x
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
the answer is 2 bc if we put the y axis as how many cats in kiki's house and x axis as how many dogs were in kiki's house, we would use this equation y=kx
the k would be our unit rate and y would be our cats, x would be dogs, so we divide y to x meaning 4 divided by 2. the unit rate would be 2.
N+4-9-5n help me help me help me
Answers
Answer:
-4n - 5
General Formulas and Concepts:
Combining like termsStep-by-step explanation:
Step 1: Write expression
n + 4 - 9 - 5n
Step 2: Simplify
Combine like terms (n): -4n + 4 - 9Combine like terms (constants: -4n - 5For the equation y+1= -3(x-5) the line contains the point (5,-1) and has a slope of?
Answers
Answer:
I think its (0,-3)
Step-by-step explanation:
I took the coordinates you gave me and placed they X axis where the X was and put the Y axis where the Y was and got that answer
The required slope of the line is -3 for the equation y + 1 = -3(x-5) the line contains the point (5,-1).
What is the slope of the line?The equation for a line in slope-intercept form is given by y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).
To put the equation y + 1 = -3(x - 5) into slope-intercept form, we need to solve for y. We can do this by subtracting 1 from both sides of the equation, which gives us y = -3(x - 5) - 1. We can then distribute the -3 on the right side of the equation to get y = -3x + 15 - 1. Finally, we can simplify this to get y = -3x + 14.
In this equation, m = -3 and b = 14. We can verify that this is the correct equation by substituting the coordinates of the point (5,-1) into the equation and solving to see if the equation is true. When we substitute the values into the equation, we get -1 = -3(5) + 14, which is true.
Therefore, the slope of the line is m = -3.
Learn more about the Slope of the Line here:
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Justin is taking a taxicab to pick up his car from the auto shop. The taxi service charges an initial fee of
$5. There is an additional charge of $0.75 for each mile the taxi drives. How much will it cost Justin if the
auto shop is 25 miles away?
Answers
Find the measure of the missing angles.
Answers
Answer:
d = 103
e = 22
f = 55
Step-by-step explanation:
ok so the angles on the other side 22 and 103 are equal to 2 of the angles on the other side
the whole line is equal to 180
103 + 22 = 125
180 - 125 = 55
d = 103
e = 22
f = 55
Answer:
d = 103
e= 22
f= 55
Step-by-step explanation:
the opposite side of d equals 103 and they are adjacent which means they have the same measure
same goes to e the opposite side of it equals 22
and then for f a full line measure equals 180
so 103+22= 125
180-125= 55
there you have it :)
Jamie and Ryan work at the grocery store. The wages earned for the weekend are shown in the table and graph. Who gets paid more per hour
plz answer right away
Answers
Answer:
Ryan earns more per hour.
Step-by-step explanation:
1) 40/5=$8.00 per hour for jamie
2)8.50/1=$8.50 per hour for ryan.
3)8.50>8.00
the total cost to buy uniforms for players on a little league basketball team cna be found using the function y=25.5x+7.25, where x is the number of unifroms bought. If there are at least 5 players but no more than 10 players on the team, what is the domain and range of the function?
Answers
Answer:
12.43 function step by step explanation
2. C is at (-5.1) & D is at (7.6). Where is the midpoint on segment CD?
Answers
Answer:
1.25
Step-by-step explanation:
Find the average.
-5.1+7.6=2.5
2.5/2
1.25
At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. At another gym, each month at the gym costs $22. After how many months will the cost of both gyms be the same? =
Answers
Because 132/22=6 and 132-12/20=6
Does anyone know this?
Answers
Answer:
I think the answer is A but I am not for sure
Step-by-step explanation:
If 2.2 pounds of a certain grain cost $1.54, how much will 5.7 pounds of the grain cost? A. $4.38
B. $4.79
C. $3.62
D. $3.99
Answers
The cost of 5.7 pounds of the grain is given by the proportion A = $ 3.99
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
We can use a proportion to solve this problem. Let "A" be the cost of 5.7 pounds of the grain. Then we can write:
2.2 pounds / $ 1.54 = 5.7 pounds / A
To solve for "A", we can cross-multiply and simplify:
2.2 pounds x A = $ 1.54 x 5.7 pounds
A = ($ 1.54 x 5.7 pounds) / 2.2 pounds
A = $ 3.99
Hence , 5.7 pounds of the grain will cost $ 3.99
To learn more about proportion click :
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Jason bought 10 of the 30 raffle tickets for a drawing. What is the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away? StartFraction 6 over 203 EndFraction StartFraction 1 over 27 EndFraction StartFraction 3 over 29 EndFraction StartFraction 1 over 9 EndFraction
Answers
Given:
Total of raffle tickets = 30
Number of tickets Jason bought = 10
Number of prizes = 3
To find:
The probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away.
Solution:
Total of raffle tickets = 30
Number of prizes = 3
So, number of total outcomes is
[tex]n(S)=^{30}C_3[/tex]
Number of tickets Jason bought = 10
So, number of favorable outcomes is
[tex]n(A)=^{10}C_3[/tex]
Now,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{n(A)}{n(S)}[/tex]
[tex]\text{Probability}=\dfrac{^{10}C_3}{^{30}C_3}[/tex]
[tex]\text{Probability}=\dfrac{\dfrac{10!}{(10-3)!3!}}{\dfrac{30!}{(30-3)!3!}}[/tex]
[tex]\text{Probability}=\dfrac{10\times 9\times 8\times 7!}{7!3!}\times\dfrac{27!3!}{30\times 29\times 28\times 27!}[/tex]
[tex]\text{Probability}=\dfrac{10\times 9\times 8}{30\times 29\times 28}[/tex]
[tex]\text{Probability}=\dfrac{6}{203}[/tex]
Therefore, the correct option is A.
Answer:
The correct answer is A. 6/203
What is an equation of the line that passes through the points (-4, -1) and
(6,-1)?
Answers
Answer:
use the formula of two point form according to question
Answer:
y=-5x-1
Step-by-step explanation:
The product of three and a number is thirty
Answers
Answer:
10
Step-by-step explanation:
3 times 10 equals 30
Explaination:
3x=30
3•10=30
X=10
i need help finding the domain of this question
Answers
Kenneth is 10 years older than Andrew. Billy is 2 times as old as Andrew. Cameron is 8 years younger than Andrew. The combined age of the four is 77. How old is each boy?
Answers
Answer:
[tex]a=15\\b=30\\c=7\\k=25[/tex]
Step-by-step explanation:
[tex]77=a+k+b+c[/tex]
[tex]b=2a[/tex]
[tex]c=a-8[/tex]
[tex]k=10+a[/tex]
[tex]77= a+2a+(a-8)+(a+10)[/tex]
[tex]77=3a+(2a+2)\\77-2=3a+2a\\75=5a\\[/tex]
what is the next. three numbers for 12 14 13 15
Answers
Answer:
16,17,18,
Step-by-step explanation:
:D im so smart
Answer:
14 16 15 17 16 18
Step-by-step explanation:
What is the reflection of K and L and M and N
Answers
K’: (0, 1)
L’: (-3, 1)
M’: (-2, 3)
N’: (-1, 3)
You are reflecting across the x = 2, so the line is vertical on 2 like |. It’s as many points away on each side for the other side. Ex. K is 2 points to the right of x = 2 so then it would be 2 points to the left of x = 2.
!!45 points!! True or false;
A quadratic graph cannot show more than one translation, reflection, stretch or shrink at a time, from the graph of the parent function.
Answers
Answer:
I believe that is true
Step-by-step explanation:
False, a quadratic graph can show more than one translation of the parent function.
Simplify the following expression. 7^-5/6*7^-7/6
Answers
Answer:2.0068782e-12
Step-by-step explanation:
HELPPPP!!!!
4. Mike is making bread for a family reunion. He knows that he needs 5.25 cups of flour per loaf.
A. If mike needs 5 loaves and one smaller half loaf, how much flour will Mike need in all? (6 points)
B. If mike makes a small loaf for himself that is 0.75 times the regular loaf, how much flour will he need? (6 points)
Answers
Answer:
A. 7.87 cups for 5½ loads
B. 3.93 cups for the tiny loaf
Step-by-step explanation:
A. 5.25 divide by 2 = 2.62 (rounded)
5.25 + 2.62 = 7.87
B. 5.25 × 0.75 = 3.93 cups
Which equation has the same solution as this equation?
x^2-16x+12=0
Answers
Every few years, Brendan's entire family gets together for a family reunion. This year,
Brendan's parents are hosting, and they have to cook a lot of food to feed the crowd.
Brendan has volunteered to do the most tedious job:
shelling peas.
There is a proportional relationship between the amount of time (in
minutes)
Brendan spends shelling peas, x, and the weight (in pounds) of the peas he has shelled,
у
х
y
(minutes) (pounds)
2
1
4
2
6
3
12
6
What is the constant of proportionality? My
Answers
Answer:
k = 0.5
Step-by-step explanation:
There is a proportional relationship between the amount of time in shelling peas 'x' and the weight of the peas 'y'.
Therefore, y ∝ x
⇒ y = kx
Here, k = proportionality constant
From the given table,
If family spends the time 2 minutes (x-value) in shelling 1 pound of peas (y-value),
1 = k × 2
k = [tex]\frac{1}{2}[/tex]
k = 0.5
Therefore, proportionality constant for the relationship is 0.5.
12.) 15 + (-15) + 12
Answers
0+12
12
.........
Answer:
12 + 6 + 15 = 12 + 15 + 6
Hope this helps :D
Step-by-step explanation:
Ten oranges are to be shared between two boys in the ratio 1:4 how many will each boy get
Answers
Answer:
2 and 8
Step-by-step explanation:
Well. Boy A gets 1 orange, so the other must get 4. So say boy A gets 2 oranges now, so the other must get also double the amount of oranges, which is 8.
1:4
If you changed the 1 to a 2, you have x2 (you can only x or ÷, in ratio) on the other side. Whatever you do to this side, you do to the other side. So it becomes
2:8
Add the numbers together to find the total number of parts. You get 10 in this ratio, so it must be the answer.
Can someone tell me the degree of g(x)
The x and y’s are on the chart. Just explain the 1st difference, the 2nd difference and so on...
Please no fake answers that are unrelated to this topic
Answers
Answer:
the degree of g(x) is 3:
[tex]g(x) = {x}^{3} - 4 [/tex]
Scott and Nikki each have a full 1.5-gallon container of liquid laundry detergent. The lid on Scott's container can hold 3 fluid ounces of detergent, while the lid on Nikki's container can hold 4 fluid ounces of detergent. How many more lids full of detergent does Scott have than Nikki? 10 lids 16 lids 48 lids 64 lids
Answers
Given:
Scott and Nikki each have a full 1.5-gallon container of liquid laundry detergent.
Lid on Scott's container can hold 3 fluid ounces of detergent.
Lid on Nikki's container can hold 4 fluid ounces of detergent.
To find:
The number of lids full of detergent Scott have more than Nikki.
Solution:
We know that,
1 gallon = 128 fluid ounces
1.5 gallon = 192 fluid ounces
Lid on Scott's container can hold 3 fluid ounces of detergent. So, number of lids full of detergent Scott have is
[tex]\dfrac{192}{3}=64[/tex]
Lid on Nikki's container can hold 4 fluid ounces of detergent. So, number of lids full of detergent Nikki have is
[tex]\dfrac{192}{4}=48[/tex]
Difference between number of lids is
[tex]64-48=16[/tex]
Therefore, Scott have 16 lids more than Nikki. Hence, the correct option is B.
Answer: it is 16
Step-by-step explanation:
2x squared — 11x + 15
factor as a quadratic equation with an explanation please and thank u. will give brainliest
Answers
Answer:
(2x−5)(x−3)
Step-by-step explanation:
Break the expression into two groups
(2[tex]x^{2}[/tex]-5x) + (-6x+15)
Factor out an x from the first group
x(2x-5)
Factor out -3 from the second group
-3(2x-5)
Factor out the common term and combine
x(2x-5)-3(2x-5)
(2x-5)(x-3)
Horizontal and parallel lines c and d are cut by transversal p. At the intersection of lines c and p, the uppercase left angle is angle 1 and the uppercase right angle is angle 2. At the intersection of lines d and p, the uppercase right angle is angle 3 and the bottom left angle is angle 4.
Which set of equations is enough information to prove that lines c and d are parallel lines cut by transversal p?
m∠1 = 81° and m∠2 = 99°
m∠3 = 99° and m∠4 = 99°
m∠2 = 99° and m∠4 = 99°
m∠4 = 81° and m∠1 = 81°
Answers
Answer:
the answer is the option C
m∠2 = 99° and m∠4 = 99°
Step-by-step explanation:
edg 2020
Answer:
C
Step-by-step explanation:
m∠2 = 99° and m∠4 = 99°