Answer:
0.025 $/in.
The store bought 300 ft of rope.
1 ft = 12 in.
300 ft * 12 in./ft = 3600 in.
The store bought 3600 inches of rope.
The store sells 40 inches of rope for $1.60. We can find the selling unit price of rope in dollars per inch.
($1.60)/(40 in.) = $0.04/in.
The store sells the rope at a price of $0.04 per inch.
The store sold all the rope at $0.04/in.
3600 in. * $0.04/in. = $144
The store sold all the rope for $144.
The profit was $54 for selling ll the rope.
$144 - $54 = $90
The bought the rope for $90.
The cost is dollars per inch is
($90)/(3600 in.) = 0.025 $/in.
Step-by-step explanation:
The slope tells for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.
The slope of the graph represents the rate of change between the hardware store's selling price (y-axis) and the quantity of nylon rope sold (x-axis).
In this case, the slope is given as 0.08.
Interpreting the slope:
A slope of 0.08 means that for each additional foot of nylon rope the hardware store sells (x increases by 1), the selling price (y) increases by $0.08.
This indicates a linear relationship between the quantity of rope sold and the selling price.
In other words, for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.
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The perimeter of a 6-sided figure is 67.74 meters. Two of the sides have the same length. The sum of the other 4 side lengths is 36.4 meters. About how long is each of the same-side lengths?
Each of the same-side lengths is 15.67.
What is perimeter?It is the sum of length of the sides used to made the given figure.
We have been given that the perimeter of a 6-sided figure is 67.74 meters. Two of the sides have the same length. And the sum of the other 4 side lengths is 36.4 meters.
Let the same side be a.
The perimeter of the figure = 6 x side
The perimeter of the figure = 2a + 36.4
67.74 = 2a + 36.4
2a = 67.74 - 36.4
2a = 31.34
a =15.67
Therefore, each of the same-side lengths is 15.67.
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There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.
Given that,
The three numbers are consecutive
The three numbers are
x
x + 1
x + 2
Also,
x × (x + 1) = (x + 2) + 7
x² + x = x + 9
x² + x - x = 9
x² = 9
x = √9
x = 3
The three numbers
x = 3
x + 1 = 4
x + 2 = 5
The sum of the three numbers
3 + 4 + 5 = 12
Kevin bought twelve 8-ounce bottles of water. How many milliliters of water did Kevin buy? (Note: 1 ounce ≈ 30 ml) Thank you for any help I may get! <3
Given:
Kevin bought twelve 8-ounce bottles of water.
1 ounce ≈ 30 ml
To find:
The quantity of water in milliliters
Solution:
We have,
1 ounce ≈ 30 ml
8 ounce ≈ 8×30 ml
8 ounce ≈ 240 ml
It means, one 8 ounce bottle can hold about 240 milliliters of water.
Total number of bottles = 12
So, the quantity of water Kevin buy in milliliters is
[tex]12\times 240=2880[/tex]
Therefore, Kevin buys 2880 milliliters of water in twelve 8-ounce bottles.
Find the distance of each pair of points. Round your answer to the nearest tenth, if necessary
Answer:
6.4
Step-by-step explanation:
In △ACD, if AC≅AD, m∠A = 3x − 4, m∠C = 5x + 1, and m∠D = 7x − 27, find x and the measure of each angle.
Answer:
x = 14
m∠A = 38°
m∠C = 71°
m∠D = 71°
Step-by-step explanation:
By the property of a triangle,
"Sum of interior angles of a triangle is 180°"
m∠A + m∠C + m∠D = 180°
By substituting the values of the angles given in the question,
(3x - 4)° + (5x + 1)° + (7x - 27)° = 180°
(3x + 5x + 7x) + (-4 + 1 - 27) = 180
15x - 30 = 180
15x = 210
x = 14
Therefore, m∠A = 3x - 4
= 3(14) - 4
= 38°
m∠C = 5x + 1
= 5(14) + 1
= 71°
m∠D = 7x - 27
= 7(14) - 27
= 98 - 27
= 71°
e-intercept form.
2. (2, 4); slope
1
2
write the linear equation in slope-intercept form
to work this out you need to solve for your y-intercept. by using what you have.
once you do so you get the answer y=1/2x+3
I really need help so please help me out
Answer:
The answer is option 2.
Step-by-step explanation:
Given that the TU and UF added up together to form a length of 32. In order to find TU, you have to subtract length of UF from 32 :
TU + UF = 32
TU + 20 = 32
TU = 32 - 20
TU = 12
can y’all help please :)
HELP ME PLEASE How long ago did humans change from living as hunter-gatherers to living in settlements and practicing agriculture?
Gavin read 6 books in 3 months. If he reads at a constant rate, how many books did he read each month? Give your answer as a whole number or a FRACTION in simplest form.
Answer:
2 books in one month
Step-by-step explanation:
Answer:
2 books per month .
Step-by-step explanation :
6 divided by 3 = 2
So 1 book per month = 2 , 2 books per month = 4 , 3 per month = 6 ( counting by 2 )
Hope that helped :)
Help please, question attached
Answer:
C. x = 8
Step-by-step explanation:
We know that x · x · x is equal to 512. We know it cannot be negative because then the 512 would be negative. -2 x -2 x -2 is -8. -2 x -2 is 4. We know it cannot be B x = -6 or D. x = -8.
Let's multiply 6 x 6 x 6.
36 x 6 = 216.
Let's multiply 8 x 8 x 8.
64 x 8 = 512
The answer would be C. x = 8.
I hope that this helps! :)
Answer:
8
Step-by-step explanation:
x³ = 512
x³ = 8³
Cube root on both sides,
x = 8
Select the correct answer. What can we determine about the SmartPhone Inc. stock when we see its returns (dashed line) compared with the NASDAQ Composite Index of growth companies (solid line). A. The SmartPhone Inc. stock performed better than the NASDAQ Composite during 2015. B. The SmartPhone Inc. stock performed worse than the NASDAQ Composite in 2015 and 2016. C. In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. D. The SmartPhone Inc. stock price steadily decreased between 2015 and 2017. E. The SmartPhone Inc. stock performed better than the NASDAQ Composite Index between 2015 and 2017.
Answer:
C
Step-by-step explanation:
Plato(:
What we determine about the SmartPhone Inc. stock when we see its returns compared with the NASDAQ Composite Index of growth companies is In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. This is further explained below.
What is stock?Generally, stock is simply defined as the money raised by a firm via the issuing and subscribing of shares.
In conclusion, When compared to the NASDAQ Composite Index of growing firms, the SmartPhone Inc. stock is In 2018, SmartPhone Inc. shares began to outperform the NASDAQ Composite Index.
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write and equation of the line that passes through the point (4, -2) and has a slope of -1/2.
Answer:
y
=
−
1
3
(
x
+
3
)
Step-by-step explanation:
The point-slope form of a linear equation is:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
(
x
1
,
y
1
)
is a point on the line and
m
is the slope.
Substituting the values from the point in the problem and the slope provided in the problem gives:
Answer:
y=-1/2x
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-1/2(x-4)
y+2=-1/2x+4/2
y+2=-1/2x+2
y=-1/2x+2-2
y=-1/2x
The ___ is the set of outputs for a function.
Answer:
Range
The set of output values is called the range of the function.
Replacing one regular light bulb with a
compact fluorescent bulb will save 151.56
pounds of carbon dioxide per year. If you
replace 25 regular light bulbs, then how
many pounds of carbon dioxide will you save
per year?
Answer:
3789 pounds of carbon dioxide
multiply 151.56 by 25
Answer:
3789
Step-by-step explanation:
edge 2020
A recipe used 1/2 cup of sour cream for every 1/4 teaspoon of salt. What is the unit rate of teaspoons of salt per cup of sour cream?
Answer:
1/2 teaspoons of salt per cup of sour cream
Step-by-step explanation:
multiply 1/2 and 1/4 by 2 to get 1 and 1/2. Since the question is teaspoons of salt per cup of sour cream, flip the numbers to get 1/2 teaspoons of salt per 1 cup of sour cream.
Which expression is equivalent to 8a + 20?
4(2a + 20)
4(2a + 5)
4(4a + 16)
4(4a + 5)
Answer:
4(2a+5)
Step-by-step explanation:
4 times 2a= 8a
4 times 5= 20
Will mark branilest!!
Answer:
B?
Step-by-step explanation:
(This is math. Is that question supposed to be math? I'm not sure)
NO JOKING AROUND OR I WILL REPORT WHO EVER DOES
A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?
–90
–78
–66
–12
Answer:
Its 66 i just did a 50 question quiz and got it right
Step-by-step explanation:
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Answer:
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Step-by-step explanation:
A partial proof was constructed given that MNOP is a parallelogram.
Which statement should fill in the blank in the last line of the proof?
A. angle M is supplementary to angle O.
B. angle N is supplementary to angle P.
C. angle M is congruent to angle P
D. angle N is congruent to angle P.
Answer:
B
Step-by-step explanation:
B. angle N is supplementary to angle P
Answer:
B
Step-by-step explanation:
Which of the following does not show the Commutative Property of Addition or Multiplication?
a. xy – 9 = xy
b. x + y = y + x
c. yx = xy
d. 3 + y = y + 3
Answer:
XY - 9 = XY
Step-by-step explanation:
You need to be careful when you are driving so 3+y is not the answer because 3 means dead in the language of god and y means yo so Its not the answer. Hope it helps
HELP PLEASE!! I NEED TO GET THIS TURNED IN
Answer:
the 10.5
Step-by-step explanation:
it is lower than the other cost if it is multiplied by three and bigger amount than the other if multiplied by three
which number is bigger 1.59 or 1.955
Answer:
1.955 is bigger
Step-by-step explanation:
1.955>1.59
Answer:
1.955
Step-by-step explanation:
This is because the number after the decimal in 1.955 is 9, which is bigger than the 5 shown in 1.59
What is the equation of a line that passes through (0, 7) and has a slope of -2?
Answer:
y = -2x + 7
Step-by-step explanation:
We are given the slope so find the y-intercept using slope-intercept form [ y = mx + b ]
y = -2x + b
7 = -2(0) + b
7 = 0 + b
7 = b
Put everything we know/solved for into the original formula.
y = -2x + 7
Best of Luck!
Find the slope and y-intercept of the graph. y=5x-3
Answer:
Step-by-step explanation:
y=mx+b
your m is the slope and your b is the y-intercept
so for y=5x-3 your slope would be 5 and your y-intercept would be -3
The equation y = 5x - 3 represents a line with a slope of 5 and a y-intercept of -3.
How to Find the Slope and the Y-intercept of a Graph?The equation of a graph can be expressed as y = mx + b, which is in the slope-intercept form. This means that:
m is the slope
b is the y-intercept of the graph.
The line described by the equation y = 5x - 3 has a slope of 5, meaning that as x increases by 1, y increases by 5. The y-intercept, represented by the constant term -3, indicates that the line intersects the y-axis at the point (0, -3).
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Hakim’s electrical car can go 180 miles on 2/3 of a full charge . How far can it go on 1 full charge?
Answer:
270 miles
Step-by-step explanation:
divide 180 by two to get a third, which is 90. Multiply by three to get the answer, which is 270
Answer:
270
Step-by-step explanation:
as you can see above me
What are the last 3 digits of 5 to the power of 2020?
Answer:625
Step-by-step explanation:
What is 325.623 rounded to the nearest tenth
Answer: 325.6
Step-by-step explanation: 6 is in the tenth place and you don't round up the two
PLEASE HELP ;)
Who did it right?
Find the slope of the line perpendicular to 2x+3y=8
Answer:
Marissa.
Step-by-step explanation:
To find perpendicular slope you basically take the slope of the given line and reverse whatever sign it had previously. (If it was negative, it would become positive. If it was positive it would become negative.)
By doing -A/B it make the previous slope negative.
Brandon only flipped the fraction which would just result in the slope being slightly steeper, or in this case, less steep than the previous line, rather than making it perpendicular.
Hope this helps! Stay safe and if you have any questions feel free to ask!