Answer:
20y² + 20y + 1
Step-by-step explanation:
Given
5(2y + 1)² - 4 ← expand the factor using FOIL
= 5(4y² + 4y + 1) - 4 ← distribute parenthesis by 5
= 20y² + 20y + 5 - 4
= 20y² + 20y + 1
Answer:20y2+20y+1
Step-by-step explanation:
Let's simplify step-by-step.
5(2y+1)2−4
Distribute:
=20y2+20y+5+−4
Combine Like Terms:
=20y2+20y+5+−4
=(20y2)+(20y)+(5+−4)
=20y2+20y+1
A restaurant uses 4.375 pounds of cheese for every pizzas. At this rate, how many pounds of cheese are used per pizza?
Final answer:
To determine the amount of cheese used per pizza, divide the total amount of cheese (4.375 pounds) by the number of pizzas (50), which equals 0.0875 pounds of cheese per pizza.
Explanation:
To find out how many pounds of cheese are used per pizza, we calculate the cheese usage rate by dividing the total pounds of cheese by the number of pizzas. The given information tells us that 4.375 pounds of cheese are used for every 50 pizzas. To find the amount of cheese used per pizza, we divide 4.375 pounds by 50.
4.375 pounds ÷ 50 pizzas = 0.0875 pounds per pizza
Thus, the restaurant uses 0.0875 pounds of cheese for each pizza made.
Hakim was feeling adventurous at lunch. Rather than choosing a single drink, he decided to
mix together all the drink choices. He mixed an equal amount of 7 types of soda to fill his 12-
ounce cup to the brim!
How many ounces of each type of soda did hakim get?
What is 1 gallon, 3 quarts, 4 pints minus 3 quarts, 5 pints?
cube
cylinder
hexagonal prism
square pyramid
Suive the equation.
3(k - 6) = 15
Answer:
k=11
Step-by-step explanation:
3(k - 6) = 15
Divide each side by 3
3/3(k - 6) = 15/3
k - 6 = 5
Add 6 to each side
k-6+6 = 5+6
k = 11
Answer:
k=11
Step-by-step explanation:
3(k-6) = 15
k-6 = 15/3
k-6=5
k=5+6
k=11
Which cylinder has the greatest volume?
O a cylinder with a height of 9 cm and a radius of 9
cm
a cylinder with a height of 12 cm and a radius of 6
cm
a cylinder with a height of 6 cm and a radius of 12
cm
a cylinder with a height of 15 cm and a radius of 3
cm
Answer:
The answer is C. a cylinder with a height of 6 cm and a radius of 12 cm
Step-by-step explanation:
I did it on the assignment
Answer:
The answer is C. a cylinder with a height of 6 cm and a radius of 12 cm
Step-by-step explanation:
8 cm
10 cm
3 cm
What is the volume of the right rectangular prism?
Answer:
240 cubic centimetres
Step-by-step explanation:
volume of the right rectangular prism
[tex] = 8 \times 10 \times 3 \\ = 240 \: {cm}^{3} [/tex]
What is the value of the expression when x = -2?
When x is substituted with -2 in the given expression, the value of the expression is 1.
Explanation:Given the expression and the value of x, we can substitute x with -2 and evaluate the expression. For example, if the expression is x² + 2x - 3 and you want to find the value when x = -2, then you'd substitute x = -2 into the expression giving (-2)² + 2*(-2) - 3 = 4 - 4 - 3 = -3. Substituting values in, simplifying, and solving is the general process to follow when coming across this kind of problem in quadratic equations or other areas of Algebra.
Let's say the expression is 2x + 5. Substituting x with -2, we get:
2*(-2) + 5 = -4 + 5 = 1
Therefore, the value of the expression when x = -2 is 1.
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Unit test
Which expression is the result of factoring the expression below by taking out its greatest common
factor?
12x2 + 8 = ?
Which equation results from adding the equations in this system?
Negative 6 x + 4 y = negative 8. 6 x minus 12 y = 14.
(A) Negative 16 y = 6
(B) Negative 8 y = 6
(C) Negative 8 y = negative 22
(D) Negative 16 y = negative 22
Answer: Negative 8y = 6
Step-by-step explanation:
[tex]-6x+4y = -8\\6x-12y = 14[/tex]
--------------------------
[tex]- 8y = 6[/tex]
Answer:
B
Step-by-step explanation:
just did test
Consider the figure below. What is the perimeter of the figure?
A. 73.4 units
B. 71.6 units
C. 69.1 units
D. 40.3 units
Answer:
73.4
Step-by-step explanation:
23-14=9
22.7-9=13.7
13.7+14=27.7
27.7+22.7+23=73.4
Since all circles are similar, a proportion can be set up using the circumference and diameter of each circle. Substitute the values d1 = 1, C1 = π, and d2 = 2r into the proportion.
StartFraction C 1 Over d 1 EndFraction = StartFraction C 2 Over d 2 EndFraction
Which shows how to correctly solve for C2, the circumference of any circle with radius r?
A. Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 2 r EndFraction , C 2 = 2 r pi
B. Because StartFraction 1 Over pi EndFraction = StartFraction C 2 Over 2 r EndFraction ,
2 = StartFraction 2 r Over pi EndFraction
C. Because StartFraction pi Over 2 r EndFraction = StartFraction C 2 Over 1 EndFraction , C 2 = StartFraction pi Over 2 r EndFraction
D. Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 4 r EndFraction , C 2 = 4 r pi
Answer: A
Step-by-step explanation:I got it right
Answer:
The answer is A on Edge 2020
Step-by-step explanation:
I did the Quiz
Which angle is adjacent to Angle D F E?
Line A F E is horizontal. Lines B, C, and D come out of point F.
Angle A F B
Angle A F C
Angle B F D
Angle B F C
Answer:
I think its <afb
Step-by-step explanation:
The required, adjacent angle to DFE is angle BFC. Option D is correct.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Angle BFC is next to angle DFE, and they share a common side, which is line segment EF. Therefore, we can stretch this statement as follows:
"When looking at the angle DFE and moving clockwise around the vertex F, the next angle encountered is angle BFC, which is adjacent to angle DFE and shares the side EF with it."
This restatement clarifies the location and relationship of angle BFC with respect to angle DFE.
Thus, the required, adjacent angle DFE is angle BFC. Option D is correct.
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Mrs. Golub wants to share $7.20 equally among her three grandchildren. How much money should each grandchild get?
Answer: $2.40
Step-by-step explanation:
$7.20 divided by 3.
Answer:
They will get $2.4 each
Step-by-step explanation:
Mrs Golub haas $7.20 to share between 3 grandchildren
To share it equally, she should divide the amount by 3, which is
$7.20/3 = $2.4
3. What is the area of the parallelogram below?
40.
Step-by-step explanation:
Base times height. This is a rhombus. 4 x 10 = 40. If you chop off the triangle to the right and place it on the left where 5 is, it'll be a rectangle. Formula for a rhombus is B x H, Base is 10, height is 4, and you get 40.
(4-2)^3-3x4 what is the answer
Answer:
-4.
Step-by-step explanation:
I am assuming that x means times here.
(4-2)^3-3x4
= 2^3 - 12
= 8 - 12
= -4.
Let y = safe load in pounds and x = depth in inches for a certain type of rectangular horizontal beam. A constant of
proportionality exists such that y = kx2.
Determine the constant k for a beam with y = 1,000 pounds and x = 5 inches.
What is a safe load if the depth of the beam is 10 inches?
800 pounds
4,000 pounds
10,000 pounds
I believe that it’s 4000
Answer: 40
Step-by-step explanation: I got it right :)
Very Simple 1st to get a right answer gets Brainliest!!
The coordinates of the community center are (−5, −1). Who has a house in the same quadrant as the community center?
Dan
Joe
Lee
Roy
Answer:
Lee's house.
Step-by-step explanation:
Plot (-5, -1) on a graph and Lee's house is the closest and in the same quadrant.
Answer: LEE
Step-by-step explanation:
because its a negative and a negative.
−6x−3(x−2)
PLEASE HELP
Answer:
-9x + 6
Step-by-step explanation:
-6x−3(x−2)
Solution:
-6x−3(x−2)
-6x−3x+6
-9x + 6
What is the slope of the line between the points (-2,1)and(1,3)?
Answer:
2/3
Step-by-step explanation:
The slope is found by
m = (y2-y1)/(x2-x1)
= (3-1)(1--2)
= (3-1)/(1+2)
=2/3
We can use the points (-2, 1) and (1, 3) to solve.
Slope formula: y2-y1/x2-x1
= 3-1/1-(-2)
= 2/3
Best of Luck!
Using the Addition Method, solve for y in the following system of linear equations.
4x-2y=6
2x+y=7
Answer:
x = 3.33
y = 0.33
Step-by-step explanation:
to evaluate for y in this system of linear equation we would say that let
4x-2y=6 ........................................................... equation 1
2x+y=7 ..............................................................equation 2
from equation 2
2x+y=7 ..............................................................equation 2
y = 7 - 2x........................................... equation 3
substitute for y in equation 1
4x-2y=6 ........................................................... equation 1
4x -2( 7 - 2x) = 6
4x - 14 + 2x = 6
6x = 6 +14
6x = 20
divide both sides by 6
6x/6 = 20/6
x = 3.33
put x into equation 3
y = 7 - 2x........................................... equation 3
y = 7 -2( 3.33)
y = 7 -6.667
y = 0.33
Final answer:
To solve for y using the Addition Method, first manipulate the equations to have opposite coefficients for y, add them to find x, and then substitute x back into one of the original equations to solve for y. The solution is x = 2.5 and y = 2.
Explanation:
The student is asking how to solve for y in a system of linear equations using the Addition Method. The given system of equations is:
4x - 2y = 6
2x + y = 7
To use the Addition Method, we aim to eliminate one variable by adding the equations. First, we manipulate the equations to have opposite coefficients for the y variable. Multiply the second equation by 2:
(2x + y) × 2 → 4x + 2y = 14
Now we have:
4x - 2y = 6 (Equation A)
4x + 2y = 14 (Equation B)
Add Equation A and Equation B:
4x - 2y + 4x + 2y = 6 + 14
8x = 20
x = 20 / 8
x = 2.5
Substitute x back into the second original equation to solve for y:
2(2.5) + y = 7
5 + y = 7
y = 7 - 5
y = 2
Hence, the solution to the system of equations is x = 2.5 and y = 2.
English
TIME REMAINING
56:59
A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet
is 2 feet wide. What is the area of the reduced carpet?
O 6 square feet
O 12 square feet
O 24 square feet
O 48 square feet
Save and Exit
Submit
Next
Mark this and return
Answer:
6 square feet
Step-by-step explanation:
Carpet has w= 8 ft and l = 12 ft
Reduced carpet has w' = 2 ft
Reduction factor is
8/2 = 4Then
l' = l/4 = 12/4 = 3 ftArea of small carpet
S = 2*3 = 6 ft²Which expression represents the volume of the cone
In the derivation of the formula for the volume of a cone,
the volume of the cone is calculated to be 4 times the
ne
volume of the pyramid that it fits inside
that is 4 times the volume of the pyramid that it fits
inside?
Answer:
Pi/4(4r²/3)Step-by-step explanation:
D is the correct option.
Answer:
D. [tex]\frac{\pi}{4} (\frac{4r^{2}h }{3} )[/tex]
Step-by-step explanation:
Edge 2021
Use the relationships between the angles to solve for x
x = _____ degrees
Answer:
x = 100
Step-by-step explanation:
Answer:
x = 100
Step-by-step explanation:
The sum of the opposite interior angles of a triangle is equal to the exterior angle
x+15 = 115
Subtract 15 from each side
x+15-15 = 115-15
x = 100
What is the volume of the cylinder with a diameter of 5 inches and a height of 8 inches? Nearest hundredth
Answer:
V= 307.72 cubic inches
Step-by-step explanation:
Cylinder Formula- Pi x Radius squared x the height. Multiply this and you get 307.72 cubic inches.
Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
The diameter of the circle is 62 centimeters. What is the approximate area of the circle? (Use 3.14 for
.)
A.
3,017.54 cm?
B. 12,070.16 cm?
C. 194.68 cm2
D. 754.385 cm?
A square pyramid has a base area of 25 square inches, and a volume of
150 cubic inches. What is the height of the pyramid in inches? *
Answer: 18 in
Step-by-step explanation:
AB=a2
V=a2h
3
Solving forh
h=3V
AB=3·150
25=18in
Which equations represent the line that is perpendicular to the line 5x – 2y = -6 and passes through the point
(5,-4)? Select three options.
y=-x-2
2x + 5y = -10
2x - 5y = -10
y+ 4 = (x - 5)
y-4 = {(x+5)
Save and Exit
Nexi
Submit
Mark this and return
Answer:
Step-by-step explanation:
hello :
given the line : 5x – 2y = -6
the answer is : 2x + 5y = -10 because :
1) this line passes through then point (5 ,-4) : 2(5)+5(-4)=-10....right
2) the slope of the given line is: 5/2 because 5x-2y=-6 equivalent to ;
2y =5x+6 so : y = (5/2)x+3
On the other hand : 2x + 5y = -10 equivalent to : 5y =-2x-10
y = (-2/5)-2 when the slope is : -2/5
the condition for the perpendicularity is : product two slope is : - 1
(5/2)(-2/5) =-1
Find the median of the following numbers. 14, 17, 21, 28, 40.
Answer:21
Step-by-step explanation: The median is the number in the middle sorted from least to greatest, here 21 is the middle number.
Answer:
21
Step-by-step explanation:
Help plz worth 20 points
Answer:
y=1/4x-4
Step-by-step explanation:
Answer:
y=x+3
Step-by-step explanation: