At a gourmet coffee shop. 3 pounds of dark-roast coffee beans cost $56 and 7 pounds of the same coffee cost $112. On the grid below, graph a line that shows how the cost of these coffee
beans varies proportionally with the number of pounds purchased. Use your graph to identify the unit rate for these coffee beans.
PLEASE ITS DUE IN A HOUR
Answers
Answer:
In the question, it says that this is a proportional relationship.
A proportional relationship is something like:
y = k*x
So when we have x = 0, we also need to have y = 0.
For the case in the question, this does not happen, so i guess that the actual question is:
"At a gourmet coffee shop. 3.5 pounds of dark-roast coffee beans cost $56 and 7 pounds of the same coffee cost $112."
We can define:
x = amount of coffee
y = price of that coffee
Now we have two pairs:
$56 to get 3.5lb
$112 to get 7lb
Then we have two points:
(3.5lb, $56)
(7lb, $112)
We can draw these two points and then connect them with a line, this line will represent the proportional relationship.
Now we need to look at the value 1 in the x-axis, then draw a vertical line
At the point where this vertical line intersects the graph, we draw a horizontal line, and the value of y is the value at which this horizontal line intersects the y-axis.
(you can see a rough sketch of this in the image below)
The solution is 1lb of coffee costs $16.
Related Questions
Find the greatest common factor of 16 17 20
Answers
Answer:
1
Step-by-step explanation:
As you can see when you list out the factors of each number, 1 is the greatest number that 16, 17, and 20 divides into.
brainliet, please? hee hee
Assume that y varies inversely
with x. Ify = 7 when x = 2/3, find
y when x = 7/3.
Y=?
Answers
Answer:
y = 2
Step-by-step explanation:
y varies inversely with x setup is:
y = k/x
7 = [tex]\frac{k}{2/3}[/tex] (find 'k')
k = 7/1 · 2/3
k = 14/3
use what you know about 'k' and 'x' to solve for 'y'
y = 14/3 ÷ 7/3 (remember to multiply by the reciprocal when dividing fractions)
y = 14/3 · 3/7
y = 2
Can someone help pleasere
Answers
(2(-3))^3
(2-3)^3
(-1)^3
-1*-1*-1=
-1
2x^3+7x^2-4x+7/x^2+2x+2
Answers
Answer:
Step-by-step explanation:
write 1,593 in standard form
Answers
Answer:
one thousand five hundred and niethree .
Step-by-step explanation:
You just use words instead of numbers.
Can someone help me with this pls, it's due very soon!!
Answers
2x+20
Explanation:
I took the equation of the larger rectangle (5x+18) and subtracted the equation of the smaller rectangle (3x-2) from it.
(5x+18) - (3x-2)
Distribute the (-) to the second equation to get 5x+18 -3x+2
Combine alike terms to leave you with 2x+20
Is 3 a rational number
Answers
Answer:
Yes
Step-by-step explanation:
Rational numbers are numbers that can actually be written down and end at some point, such as 3, 4, 6, 10, etc. Some numbers that aren't rational are numbers like π, which are never-ending.
which of the value of x satisfies the equation below -2x-7=12
A: x= -9.5
B: x= -9
C: x=9
d:x=9.5
Answers
You start by adding the 7 to the opposite side. Giving you 19. You divide both sides by -2 which gives you x on one side and -9.5 on the other.
-2x-7=12
-2x=12(+7)
-2x=19
x=19/-2
x=-9.5
What is the graph represents the equation y=1/3x+2
Answers
Step-by-step explanation:
step 1. you mean which graph represents the equation y = (1/3)x + 2?
step 2. please provide the graphs - they are missing.
step 3. the equation has a slope of 1/3 which means it goes up one and three to the right.
step 4. the y intercept is 2 so it goes through the point (0, 2).
2
Simplify the expression by combining like terms.
2x + 4y + 6 + 2y - 5+ 3x
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Answers
Answer:
5x + 6y + 1
Step-by-step explanation:
If the point (-5, -4) is reflected across the x-axis, what are the coordinates of the new point?
Answers
Answer:
(-5, 4)
Step-by-step explanation:
Recall that in a reflection across the x-axis the x coordinate stays the same, while the y coordinate flips its sign.
Therefore
(-5, -4) converts under reflection into (-5, 4)
you spin the spinner below once: what is the P(getting a number less than 5)?
Answers
Answer:
3/4
Step-by-step explanation:
Answer: it would be 3/4 hope this helps you!!!
Step-by-step explanation:
Help me please guys.
Determine the ratio in the picture below
Answers
Answer:
Sin Z=30/50 or 3/5
Step-by-step explanation:
To figure out Sin Z, you need the formula which is Sin=o/h
O=opposite
H=Hypotenuse
To find opposite, you locate the angle(angle Z) and you draw an arrow that is opposite of the angle. To find hypotenuse, you pinpoint the right angle and you find the degree that it is opposite of.
O=30
H=50
Finally, you simplify 30/50 to get 3/5ths. Hope this helps you out!
what equality is shown here on the number above?
Answers
Answer:
the equality shown is : x is greater than or equal to -3.
Do 4x and 15+x have the same value when x is 5
Answers
Answer:
Yes!
Step-by-step explanation:
4x5= 20
15+5= 20
What is the range of the function f(x)= 2 + 4 when the domain is {-2, 0, 3}?
A {4.25, 5, 12}
B. {0, 4, 10}
C. {4.25, 4, 12}
D. All Real Numbers
Answers
The domain is the possible input values "x" .. in this case [-4, -2, 0, 2, 4]
The range are the possible output values of f(x)
We need to solve f(x) = 3.2x for each value in our domain
f(-4) = 3.2(-4) = -12.8
f(-2) = 3.2(-2) = -6.4
f(0) = 3.2(0) = 0
f(2) = 3.2(2) = 6.4
f(4) = 3.2(4) = 12.8
Can anyone help I do t know how to find all seven angles
Answers
Answer:
1. 110
2. 70
3. 70
4. 110
5. 110
6. 70
7. 70
Step-by-step explanation:
when to lines cross, opposite angles are equal so like 1 and 4 are equal
1, 4, and 5 are equal to 110
to find 2, 3, 6, and 7, subtract 110 from 180
Step-by-step explanation:
110 is vertical from angle 5 so they are the same
180-110=70 degrees
Can someone help? I’ll give brainliest
Answers
Answer:
yes i will!
Step-by-step explanation:
Which of the following functions is graphed below?
Answers
Answer:
i think it is Answer D i am not sure
Step-by-step explanation:
When 6 pounds of coffee cost $4.68, how much will 3 1/2 pounds cost?
Answers
Answer:
2.73
Step-by-step explanation:
Have a great day! I just put it down to cost per pound and and then multiplied by 3 1/2 and got the answer. :)
Answer:
$4.48
Step-by-step explanation:
6/4.68 = 1.28205128205 = 1.28
3 1/2 x 1.28 =
3.5 x 1.28 = 4.48 =
$4.48
If a figure is dilated by a factor of 1.5, the area of the figure will change by a factor of
Answers
Answer:
The figure will change by a factor of 2.25.
Step-by-step explanation:
When the lengths (1-dimensional) change by a factor 1.5 (the definition of dilating a figure), the area (2-dimensional) will change by a factor 1.5 to the power of the quotient of the values of the dimensions, which is 2/1 = 2. So the area will change by a factor of 1.5^2 = 2.25.
What is 5 divided by 1/8?
Answers
Answer: 50
Step-by-step explanation:
Its 40
Step-by-step explanation
what does 108 × 1/3 equal?
Answers
Answer:
It would be 36
Explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
108/1 ×1/3
Applying the fractions formula for multiplication,
=108×1/1×3 = 108/3
Simplifying 108/3, the answer is
=36
hope it helped. :)
10 Determine the area of the figure. 9 cm 6 cm 12 cm
Answers
Answer:
Area= 648
Step-by-step explanation:
Area formula: L times W times H
9 times 6 times 12 :)
When the length, width, and the height is given so the area of the figure is considered to be 648.
Calculation of an area:Since the length is 9cm
The width be 6 cm
And, the height is 12 cm
So, the area be like
= (9) (6) (12)
= 648
Hence, When the length, width, and the height is given so the area of the figure is considered to be 648.
Learn more about an area here: https://brainly.com/question/20882229
I need help please answer
Answers
Answer:
√130
Step-by-step explanation:
_______________________
Solve the following equation for x: 2(5x+6)+3x=38
Answers
Answer:
x=2
Hope this helps! Have a good day! :)
The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre of strawberry plants will yield 770 pounds of strawberries when 70 cubic feet of fertilizer are applied. If 90 cubic of feet of fertilizer are applied, the yield will be 990 pounds of strawberries. Use linear interpolation to estimate the yield if 72 cubic feet of fertilizer are applied.
______________(and select unit of meansure)---> (cubic feet/ pounds per cubic foot/ pounds/cubic feet per pound
Answers
Answer:
[tex]792\ \text{pounds}[/tex]
Step-by-step explanation:
[tex]x_1=70[/tex] cubic feet of fertilizer is used in [tex]y_1=770[/tex] pounds of strawberries
[tex]x_2=90[/tex] cubic feet of fertilizer is used in [tex]y_2=990[/tex] pounds of strawberries
[tex]x=72[/tex] cubic feet of fertilizer is used
Linear interpolation is applied
[tex]y=y_1+\dfrac{(x-x_1)(y_2-y_1)}{x_2-x_1}\\\Rightarrow y=770+\dfrac{(72-70)(990-770)}{90-70}\\\Rightarrow y=792\ \text{pounds}[/tex]
72 cubic feet of fertilizer will yield [tex]792\ \text{pounds}[/tex] of strawberries.
5. If the ratio of boys to girls in a student's class is 5 to 7, what fraction of the class is boys?
What fraction is girls?
Answers
Answer:
Boys ratio- 5/12 girls ratio 7/12 dont think you can simplify
Step-by-step explanation:
Answer:
5 = Boys 7 = Girls
Step-by-step explanation:
Boys:Girls = 5:7. I hope this helps :)
PLEASE HELP!!
What is the volume?
8 t
7 ft
21
cubic feet
Answers
Answer:
The answer is 8ft
Step-by-step explanation:
hope that helps :)))
Answer:
112ft²
Step-by-step explanation:
volume= length×breadth×height
[tex]v = 8 \times 2 \times 7 = 112f {t}^{2} [/tex]
a painter can paint 180 square feet in 30 minutes. how many square feet can he paint in 120 minutes?
Answers
Answer:
720
Step-by-step explanation:
jayfeather friend me
Answer:
720
Step-by-step explanation: