A can of juice has a radius of 7 inches and a height of 8 inches. What is the volume of the can?
Answers
Answer:
V = 392 pi in^3 or approximately 1230.88 in^3
Step-by-step explanation:
The volume of a can, which is a cylinder, is given by
V = pi r^2 h
= pi (7)^2 * 8
= pi *392
We can approximate pi by 3.14
V = 392 * 3.14
=1230.88 in^3
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A 3-pound bag of apples costs $5.25. What is the unit price of a pound of apples? per pound At this rate, how many pounds of apples can be purchased for $17.50? pounds of apples Let x represent the number of pounds of apples and y the total cost of the apples. What is the equation that represents the direct variation between the total cost of the apples and the number of pounds of apples?
What is 9 1/2 in simplest form?
Answers
Answers
rounded 28.25 grams
so in 21 grams there are 0.7407532009 ounces
rounded to 3/4 = .75
there are 3/4 of an ounce in 21 grams
21 grams divided by 28.25
answer= 0.74
Answers
b32
Eagles
for the first page
Answers
Given:
A circle with its center at (0, -3).
To find:
The standard equation for the given circle.
Solution:
The standard form of a circle is , where (h, k) is the center of the circle and r is the radius of the circle.
The center of the given circle is at (0, -3).
We need to determine the radius of the circle. The center is at (0, -3) and a point with the same y coordinate is (3, -3).
The radius of the circle units.
So for the given circle, (h, k) is (0, -3) and r is 3 units.
So the equation becomes .
The standard equation for the circle is
Answers
Answer:
Solution: x = 1, y = 5 or (1, 5).
Step-by-step explanation:
Given the systems of linear equations, y = 3x + 2 and y = -2x + 7:
I will demonstrate both solving for the solutions algebraically and graphically.
Algebraic Method:
Equation 1:y = 3x + 2
Equation 2: y = -2x + 7
Substitute the value of y = 3x + 2 from Equation 1 into Equation 2:
Equation 2: y = -2x + 7
⇒ 3x + 2 = -2x + 7
Add 2x to both sides:
3x + 2x + 2 = -2x + 2x + 7
5x + 2 = 7
Subtract 2 from both sides:
5x + 2 - 2 = 7 - 2
5x = 5
Divide both sides by 5 to isolate x:
x = 1
Substitute the value of x into Equation 1 to solve for y:
Equation 1: y = 3x + 2
y = 3(1) + 2
y = 3 + 2
y = 5
Therefore, the solution to the given system is x = 1, y = 5 or (1, 5).
Verify:
Substitute the value of x = 1, and y = 5 into both equations:
Equation 1:y = 3x + 2
y = 3x + 2
5 = 3(1) + 2
5 = 5 (True statement)
Equation 2: y = -2x + 7
y = -2x + 7
5 = -2(1) + 7
5 = -2 + 7
5 = 5 (True statement).
Hence, we have the correct solution to both equations.
Graphing Method:
In order to solve for the solution graphically, start by plotting the y-intercepts of both equations.
Equation 1:y = 3x + 2
Slope = 3, y-intercept: (0, 2)
Equation 2: y = -2x + 7
Slope = -2, y-intercept: (0, 7)
After plotting the y-intercepts, use the slope (rise over run technique) of each equation to plot other points into the graph. In other words:
In Equation 1, the slope = 3 (rise 3 units, run 1 unit to the right).
For Equation 2, the slope = -2 (down 2 units, run 1 unit to the right).
Continue this process until you have at least 3 points to connect your line with.
The solution will be the point where the two lines intersect, which occurs at point (1, 5).
Attached is a screenshot of the graphed equations.
Answer:
(1, 5) I think this supposed to be the answer you are looking for! I rlly hope this helps!
Step-by-step explanation:
y = 3x + 2 y = -2x + 7
= take the first equation and use the 3x + 2 and replace the y in the second equation with that!
3x + 2 = -2x + 7
= 3x + 2x = 7 - 2
= 5x = 5
= x = 1
Now substitute x for one!
y= 3 x 1 + 2
y= 5
Now try the other equation, to be sure!( If you wanna, I mean, you should...)
y= -2 x 1 + 7
y= -2 + 7
y= 5
Part A
Write two different, equivalent expressions for how much the rosebush will cost if the coupon.is
applied first and the 10% discount second.
Part B
Write an expression for how much the rosebush will cost if the 10% discount is applied first and
the coupon is applied second.
Part
Which order will save Marina more money? Explain your reasoning.
Answers
Answer:
Part A: 0.9d - 4.5
Part B: 0.9d - 5
Part C: Order that will save Marina money is "discount applied first, then coupon"
Step-by-step explanation:
Part A
The rosebush costs "d" dollars
Coupon = $5 OFF
Discount = 10%
We want to find cost of rosebush when COUPON APPLIED 1st and DISCOUNT APPLIED 2nd.
Cost = d
Coupon Applied Cost = (d - 5)
Discount Applied Cost = 10% off means 100 - 10 = 90% of the price remains, that is 90/100 = 0.9 times the price, so:
0.9(d - 5) = 0.9d - 4.5
Part B
When we apply 10% discount to the initial price of "d", we get 90% of the price remaining.
So, price would be:
Normal Price = d
Discount Price = 0.9d
Now, coupon applied of $5, we get:
0.9d - 5
Part C
We have two expressions, let the original price, d, be 100, so
Part A price would be 0.9d - 4.5 = 0.9(100) - 4.5 = 85.5
Part B price would be 0.9d - 5 = 0.9(100) - 5 = 85
So, Marina will save up money going on the 2nd option.
Order that will save Marina money is "discount applied first, then coupon"