The cost of 5 pounds of vegetables is $7.55. What is the constant of proportionality that relates the cost of dollars, y,
to the number of pounds of vegetables, x?_(Write a numeric value in decimal form. Do not include units)
Answers
Answer:
1.51
Step-by-step explanation:
[tex]y[/tex] = Cost in dollars of vegetables
[tex]x[/tex] = Number of pounds of vegetables
[tex]y\propto x[/tex]
[tex]\Rightarrow y=kx[/tex]
where k = Constant of proportionality
[tex]k=\dfrac{y}{x}[/tex]
In one case
[tex]y = 7.55\$[/tex]
and [tex]x = 5\ \text{pounds}[/tex]
[tex]k=\dfrac{7.55}{5}\\\Rightarrow k=1.51[/tex]
The constant of proportionality is 1.51.
Related Questions
What type of integer would revenue be?
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Answer: negative
Step-by-step explanation:
camila has a younger brother and an older brother. one is three years younger than her and the other is 5 years older than her
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Answer:
59 years and younger
Step-by-step explanation:
PLEASE HELP
Which one do I choose of the three
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Answer:
substract -5.8 from-2.6
Step-by-step explanation:
I hope this help you
please help me with this!!!
Answers
10x14x8.3 = 1162
1162 divided by 2 = 581
Write the equation of the line through (2,3) and (-1,-12) in slope
intercept form.
will give brainliest
Answers
Answer:
y = 5x - 7
Step-by-step explanation:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (-12 - 3) / (-1 - 2)
= (-12 - 3) / (-1 - 2)
= -15 / -3
m = 5
y-intercept using slope above and anyone point, let's use (-1, -12):
y = mx + b
-12 = 5(-1) + b
-12 = -5 + b
b = -7
Equation of line using m and b from above:
y = mx + b
y = 5x - 7
Solve the equation 7x+12=x−6 to find the number, x .
x= __
Answers
Answer: -3
Step-by-step explanation:
William left his house at time zero and drove to the store, which is 8 blocks away, at a speed of 2 blocks per minute. Then he stopped and went into the store for 2 minutes. From there, he drove in the same direction at a speed of 4 blocks per minute until he got to the bank, which is 16 blocks away from the store. He stopped at the bank for 5 minutes. Then he drove home at a speed of 12 blocks every minute. Make a graph showing the number of blocks away from home that William is x minutes after he leaves his house, until he get back home.
Answers
Answer:
17 minutes
Step-by-step explanation:
First distance in blocks and time.
x1= 8 b and t1 = 4 min
Second distance in blocks and time.
x2= 8 b and t2 = 6 min
Third distance in blocks and time.
x3= 24 b and t3 = 12 min
Fourth distance in blocks and time.
x4= 24 b and t4 = 17 min
Final distance in blocks and time.
x5= -24 b and t5 = 19 min
The first trap Willian is 8 blocks from home, we know that the speed is 2 b/min (blocks per minute). Using the definition of speed V1 = x1/t1 we can find t1. t1 will be t1 = 8/2 = 4 min.
He spends 2 minutes, so t2 = 6 min.
Now, the new speed is V2=4 b/min and go to the bank that is 16 blocks away from store, so x2 = 16 + 8 = 24 b. Times will be t = 24/4 = 6 min. But we need to add to t2 to get the total time. t3 = 6 + 6 = 12 min.
He spends 5 minutes here, so t4 = 12 + 5 = 17 min.
Finally, he drove home at -12 b/min, so the time to get home will be:
t = 24/12 = 2 min. Therefore, the total time t5 = 17 + 2 = 19 min.
You can learn more about velocity plots here:
https://brainly.com/question/14360042
https://brainly.com/question/18372944
I hope it helps you!
i’m trying one last time
Write an equation in standard form of the line that passes through the following
points, where a ≠0 and b ≠0.
Answers
Answer:
The equation =3 is equivalent to = 0 +3. From this form, we know the line has slope =0.
Step-by-step explanation:
Answer:
ax + by = c
Step-by-step explanation:
The standard form of the line is
ax + by = c; where a, b and c are numbers
Also a and b are coefficients are not zero so there are x and y terms.
What is a first step to solving for x in the equation −=9 x minus 7 equals 10? How would you check your solution
Answers
Answer:
-17/9
Step-by-step explanation:
You need to add 7 to both sides.
-9x - 7 = 10
-9x -7 + (7) = 10 + 7
-9x = 17
Then both sides for (-9)
-9x/(-9) = 17/(-9)
x = -17/9
Three computers just scanned for viruses at the same time. Computer A runs a virus scan every 10 days. Computer B runs a virus scan every 12 days, and Computer C runs a virus scan every 16 days. How long will it be until all the computers run a virus scan at the same time again?
Answers
Answer: 240 days.
Step-by-step explanation:
The number of days that it'll will be until all the computers run a virus scan at the same time again will be calculated by solving for the lowest common multiples of the numbers. This will be:
Multiples of 10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240.
Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240
Multiples of 16 = 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240
Here, we can see that the least common multiple is 240. Therefore, all the computers will scan at the same time in 240 days.
8.78 + 6.2 show you work
Answers
Answer:
14.98
Step-by-step explanation:
1
8.78
6.20
---------
14.98
Answer:
14.98
Step-by-step explanation:
8.78
+6.2
--------
14.98
you want to imagine 6.2 like 6.20
so...
8.78
+6.20
----------
14.98
the 8 goes down 7+2=9 the (.) goes down 8+6=14 14.98
hope this helps :)
on a piece of paper graph y=-2x-3. then determine which answer matches the graph you drew
Answers
The line will cut the y-axis at y = -3
Equation of a lineThe standard equation of a line is expressed as y = mx + b
where:
m is the slopeb is the y-interceptGiven the equation y = -2x - 3, you can see that the slope is -2 and the y-intercept is -3.
This shows that the line will cut the y-axis at y = -3
Learn more on line graph here: https://brainly.com/question/14323743
Find the value of x that makes m || n. Explain.
Answers
Answer:
Step-by-step explanation:
x=120/3
x=40
Answer:
40
Step-by-step explanation:
if m||n then 3x must be equal to 120°
120° = 3x divide both sides by 3
40 = x
What is the slope, m, and y-intercept for the line that is plotted on the grid?
Answers
Answer:
the slope and m is 2 and the y intercept is 4
Step-by-step explanation:
Remember y=mx+b
For the following exercises, determine whether the relation is a function
a) {(5.2),(6,1),(6,2),(4,8)}
Answers
Wayne graphed the following linear function on an (x,y) coordinate plane.
f(x) = -5.4x+12.6
What is the y intercept of the graph of this function ?
Answers
Answer:
12.6
Step-by-step explanation:
The y intercept means that x=0, therefore you will plug in 0 in your equation.
f(x) = -5.4x + 12.6
f(0) = -5.4(0) + 12.6
f(0) = 0 + 12.6
=12.6
HELP LOL i have no idea it might be just me
Answers
Answer:
Step-by-step explanation:c
The $35 is the starting value and the .6 is the rate of change
Which is an example of Identity Property of Addition ?
6 + 0 = 6
23+5=5+3
07x1 = 7
O (5+9) + 8 = 5 + (9 + 8)
+
Answers
Answer:
Probably the last one but the numbers are kind of jumbled up so...
Step-by-step explanation:
Have a good day
Ex- 3x1=3 , 7x1=7
Laura buys a saddle in the UK for £850 Delivery is free. Steve buys the same saddle from Holland for 990 Euros. He pays 15 Euros for delivery. £1 = 1.18 Euros Including the delivery charge, whose saddle is cheaper?
Answers
Answer:
Laura's saddle is cheaperStep-by-step explanation:
We want to convert from euros to pound and compare which purchase is more expensive.
given data
we are told that Steve buys the same saddle from Holland for 990 Euros
given the exchange rate in pounds, it will be
£1 = 1.18 Euros
x=990 Euros
cross multiply we have
x=990/1.18
x= £838.98
Steve buys at £838.98
delivery charge is 15 Euros to pounds
£1 = 1.18 Euros
x=15 Euros
cross multiply we have
x=15/1.18
x= £13.04
to expenses incurred by Steve= £838.98+£13.04
=£852.02
Laura's saddle is cheaper
Please help this is due in 30 mins
Answers
Answer:
im pretty sure its c or rotation
Step-by-step explanation:
The notebook shows the money Lisa earned and spent on her first day selling kale at the
Farmers' Market. A positive number represents money earned. A negative number represents
money spent. Lisa wants to find her profit for the first day.
Answers
Answer:
Step-by-step explanation:
7 + (-5)= 2
No rush on this one:)
The price of a shirt decreases by 13$. Which integer represents the decrease in the shirt’s price?
Answers
Answer:
-13
Step-by-step explanation:
-13 since it's going down in price
Find the area of the triangle
Answers
Answer:
The area of the triangle WYX = [tex]\frac{35}{2}[/tex] = 17[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The area of the triangle WYX is [tex]\frac{1}{2}[/tex]*b*h
We need to find base (b) and height (h)
By counting from the drawing, the base which is horizontal is 7 and the height which is vertical is 5
The area of the triangle WYX is [tex]\frac{1}{2}[/tex]*b*h
The area of the triangle WYX = [tex]\frac{1}{2}[/tex]*7*5 = [tex]\frac{35}{2}[/tex] = 17[tex]\frac{1}{2}[/tex]
9/4 plus 3/8 (please show work)
Answers
Answer:
21/8 or 2 5/8
Step-by-step explanation:
9/4 + 3/8
The least common denominator being 8 so you would add the numerators.
18+3/8
Which would be:
21/8 or, as a mixed fraction, 2 5/8
23=-8y-7+2y
Y=???????????
Answers
Answer:
y= -5
Step-by-step explanation:
Answer:
y=-5
Step-by-step explanation:
23=-8y-7+2y
23=-6y-7
23+7=-6y-7+7
30=-6y
To find Y divide both sides by-6.
30/-6=-6y÷-6
-5=y
Which shows equivalent expressions?
Answers
help meeeee prettty pleaseee fastttttt
Answers
Answer:
D
Step-by-step explanation:
Given
y³ = 125 ( take the cube root of both sides )
[tex]\sqrt[3]{y^3}[/tex] = [tex]\sqrt[3]{125}[/tex]
y = 5 → D
Randy, Sandy and Todd are my cousins and their combined age is 87 years. Randy is four times as old as Sandy, but Todd is actually 15 years older than Sandy. How old are each of my cousins
Answers
Answer:
Randy is 48 years old
Sandy is 12 years old
Todd is 27 years old
Step-by-step explanation:
Given
Represent their ages with the first letters of their names:
[tex]R + S + T = 87[/tex]
[tex]R = 4 * S[/tex]
[tex]T = 15 + S[/tex]
Required
Determine their individual ages
We'll solve the above equations using substitution method of simultaneous equations
Substitute 15 + S for T and 4 * S for R in [tex]R + S + T = 87[/tex]
This gives:
[tex]4 * S + S + 15 + S = 87[/tex]
[tex]4 S + S + 15 + S = 87[/tex]
Collect Like Terms
[tex]4 S + S + S = 87 - 15[/tex]
[tex]6S = 72[/tex]
Divide through by 6
[tex]S = 72/6[/tex]
[tex]S = 12[/tex]
This implies that Sandy is 12 years old
Substitute 12 for S in [tex]R = 4 * S[/tex] and [tex]T = 15 + S[/tex]
[tex]R = 4 * 12[/tex]
[tex]R = 48[/tex]
[tex]T = 15 + 12[/tex]
[tex]T = 27[/tex]
This implies that Randy is 48 years old and Todd is 27
* Ms. Quintero has visited 16 of the 50 states. What percent of the states has she visited? KEY Part (is) Whole(of) % 100 Whole
A.25%
B.32%
C.16%
D.8%
Answers
Answer:
B. 32%
Step-by-step explanation:
16/50 = 32% lol
goodluck!
y = 4x + 12
What is the x - intercept?
Answers
Answer:
The x-intercept is -3
Step-by-step explanation:
So what you need to do is just graph this like any other equation
Start and (0, 12) and make a point
Then the slope is 4 so go up 4 and right 1 and keep doing that.
Then go the opposite direction so down 4 left 1
After that see where the line hits the x-axis, in this case, its (-3, 0)
So the x intercept is -3 or (-3, 0)
Pls mark brainliest because i didn't waste your time lol
Answer: (-3, 0)
Step-by-step explanation: If you want to find the x- intercept for y = 4x + 12, you’ll have to plug y = 0 into the equation and solve the resultint equation 0 = 4x + 12 for x. [0 = 4 x -3 + 12]. Hence, x = -3, so the x - intercept is (-3, 0).