Determine a polynomial that represents the area of the parallelogram.
A=
Answer:
4b² - 16
Step-by-step explanation:
The formula to find the area of a parallelogram equals [tex]bh[/tex], where b = base and h - height. We're given the base as 2b + 4 and the height as 2b - 4.
[tex](2b+4)*(2b-4)=(2b+4)(2b-4)[/tex] [tex](2b+4)(2b-4)=(2b)(2b)+(2b)(-4)+(4)(2b)+(4)(-4)[/tex] [tex]4b^2-8b+8b-16[/tex] [tex]4b^2-16[/tex]Therefore, the answer is 4b² - 16.
128=x^2 -16 ?show all steps
Answer:
.....
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What value of x are the following equations equal?
Answer:
x = 15
Step-by-step explanation:
find the quotient
a.4/27
b.-4/27
c.-1 1/3
d.1 1/3
Solution:
It should be noted:
If a fraction is being divided, the divisor will become it's reciprocal and the sign changes to a multiplication sign.Finding the quotient.
-4/9 ÷ -1/3=> -4/9 x -3Multiplying both terms.
=> -4/9 x -3=> 12/9Simplifying the fraction
=> 12/9 => 4 x 3/3 x 3=> 4/3Converting the fraction into mixed fraction
=> 4/3 = 1 1/3 (Option D)Option D is correct.
Answer:
[tex]\sf 1\dfrac{1}{3}[/tex]
Explanation:
[tex]\hookrightarrow \sf \dfrac{-4}{9} / \dfrac{-1}{3}[/tex]
manipulate sides by changing signs
[tex]\hookrightarrow \sf\dfrac{-4}{9} *\dfrac{3}{-1}[/tex]
simplify by multiplication
[tex]\hookrightarrow \sf \dfrac{-12}{-9}[/tex]
the negatives cancels out
[tex]\hookrightarrow \sf \dfrac{12}{9}[/tex]
simplify
[tex]\hookrightarrow \sf \dfrac{4}{3}[/tex]
turn this into mixed fraction
[tex]\hookrightarrow \sf 1\dfrac{1}{3}[/tex]
Students are making the scenery for a school play. They use a large piece of plywood to represent the front of a house, with a semicircular window cut out. Now they need to paint the plywood. Find the area that will be painted. 2. Describe your strategy for finding the area that needs to be painted. (2 points)
Considering the figures, the area that will be painted is of 38.9 square feet.
What is the area of a rectangle?
The area of a rectangle of length l and width w is given by:
[tex]A = lw[/tex]
What is the area of a triangle?The area of a triangle of base b and height h is given by:
[tex]A = \frac{bh}{2}[/tex]
What is the area of a semi-circle?The area of a semi-circle of radius r is given by:
[tex]A = 0.5\pi r^2[/tex]
In this problem:
The rectangle with l = 6 ft and w = 8 ft will be painted, along with the triangle of dimensions b = 8 ft and h = 4 ft.The semi-circle with r = 4 ft will not be painted.Hence, the area that will be painted, in square feet, is given by:
[tex]A = 6 \times 8 + \frac{8(4)}{2} - 0.5\pi 4^2 = 64 - 8\pi = 38.9[/tex]
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Which is the graph of the function y=3x^2?
Answer:
Top left
Step-by-step explanation:
Since the function has a degree of 2, the curve must have a parabolic (u) shape. The only option that satisfies this is the top left graph.
F. Evelyn is running a snack sale during lunch to raise money for charity. She is selling hot Cheetos with
cheese for $1.50 each and chili-cheese fries for $2.50 each. At the end of the day she has raised $150 and
sold 80 items. How many of each item did she sell?
The number of hot Cheetos with cheese sold is 50, while the number of chilli cheese sold is 30.
What is a System of equations?A set of simultaneous equations, often known as a system of equations or an equation system, is a finite collection of equations for which common solutions are sought.
Let the number of hot Cheetos with cheese sold be represented by x, while the number of chilli cheese is represented by y.
It is given that the total number of items sold by Evelyn during the event is 80. Therefore,
x + y = 80
x = 80 - y
Given that the cost of hot Cheetos with cheese is $1.50, while the cost of chilli cheese is $2.50, also the total amount that was collected in the event is $150. Therefore, we can write,
1.50x + 2.50y = 150
1.50(80 - y) + 2.50y = 150
120 - 1.50y + 2.50y = 150
1y = 150 - 120
y = 30
Substitute the value of y in the first equation,
x + y = 80
x + 30 = 80
x = 80 - 30
x = 50
Hence, the number of hot Cheetos with cheese sold is 50, while the number of chilli cheese sold is 30.
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The number of hot Cheetos with cheese sold is 50, while the number of chili cheese sold is 30.
What is a System of equations?
"A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The equations in the system can be linear or non-linear."
Let the number of hot Cheetos with cheese sold be represented by P, while the number of chili cheese is represented by Q.
It is given that the total number of items sold by Evelyn during the event is 80. Therefore,
P + Q = 80
P = 80 - Q --------- (1)
Given that the cost of hot Cheetos with cheese and chili cheese
So the equation
1.50P + 2.50Q = 150 --------- (2)
Put the equation (1) in equation (2)
1.50(80 - y) + 2.50y = 150
120 - 1.50Q + 2.50Q = 150
1Q = 150 - 120
Q = 30
Substitute the value of Q in the first equation,
P+Q = 80
P + 30 = 80
P = 80 - 30
P = 50
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audio The number of necklaces Cameron can make varies directly with the amount of time he spends making the necklaces. He can make 6 necklaces in 1/2 hour. 2 Problem Read aloude How many necklaces can Cameron make in 7 hours? A 84 B 76 C 1 5 7 D 12
Answer:
84 Necklaces
Step-by-step explanation:
1/2 Hour = 6 Necklaces - (We want to convert this from 1/2 or 30 min to 1 hour)
1/2 x 2 = 1 Hour / 6 x 2 = 12 Necklaces
1 Hour : 12 Necklaces <- This is our ratio
With this ratio, we can now multiply the hour by the number of hours we have in this case 7.
1 x 7 = 7 Hours / 12 x 7 = 84 Necklaces < - We need to multiply the same number to both sides to keep the equivalent ratio.
7 : 84
Answer: 84
-PLEASE ANSWER-
Find the other endpoint given one endpoint: (-14,9) and the midpoint: (-9,-4)
A. (-2.5, -6.5)
B. (-4, -17)
C. (-2.5, 6.5)
D. (-3.5, 7)
(9.7 x 10^6) + (8.3 x 10^5)=
Hey there!
9.7(10^6)+8.3(10^5)
9.7(1,000,000) + 8.3(100,000)
9,700,000+830,000
=10,530,000
What is the answer?
-20 gallons per hour
-10 feet per minute
-0.1 kilograms per second
Answer:
im gonna assume they are negatives, if not you can just re-word it.
Step-by-step explanation:
a lake being drained by -20 gallons per hour
a paper airplane falling at -10 feet per minute
an intense workout burning -.1 kilograms per minute
PLEASE HLEP OMG PLS 20 POINTS
of the 35 students on student counsil 60% of the students are boys how many are girls
Known facts:
total number of students on the council: 3560% of the council students are boysResults:
therefore 40% of the total number of council students are girls.Calculation:
[tex]\frac{40}{100} *35=14[/tex]
Therefore there are 14 girls.
Hope that helps!
lcm of 42 and another number is 252 what is the largest possible value of this number
Answer:
252
Step-by-step explanation:
The largest possible value of the second number is the least multiple itself: 252.
Hurry help me out pleasee
Answer:
show that (-3,-3),(-2,-2)and (2,2)are the vertices of isosceles triangle
can 24 be divisible by 5296
Answer:
No
Step-by-step explanation:
can 24 be divisible by 5296
5296/24 = 220.67
So, the answer is no.
Jessica is building a cardboard box that has a length of 16 inches, width of 9 inches, and height of 4 inches. If she decided to triple the height of the box, how much more cardboard does she need?
Answer:
Step-by-step explanation:
I assume you have a prism with a length of 16 inches, a width of 9 inches and a height of 4 inches and you want to know the surface area
1st...convert these to feet
16 in = 1 + 1/3 ft = 4/3 ft
9 in = 3/4 ft
4 in = 1/3 ft
And the surface area =
2 [ 4/3 * 3/4 + 4/3 * 1/3 + 3/4* 1/3 ] =
2 [ 1 + 4/9 + 1/4 ] =
2 [ ( 36 + 16 + 9 ) / 36 ] =
(1/18) ( 61) =
(61 / 18) sq ft ≈ 3.38 sq ft.
This graph shows a proportional relationship.
What is the constant of proportionality?
Answer:
3/4
Step-by-step explanation:
there is no y intercept but it is 3/4 when you simplify
Answer:
40
Step-by-step explanation:
correct on edge
Consider the following expression and determine which statements are true.
7
- 23
+ 11
Choose 2 answers:
The entire expression is a sum
В
The coefficient of sis 3.
The term is a quotient
T
The term 2 has a variable.
Answer:
The answer is -5 well that's what I think if you go in order so it would not be The entire explanation is a sum so that leaves three more The coefficient of sis 3, The term is a quotient T, and The term has a variable so And I think the answers are The term is the quotient T and the term 2 has a variable. Hopefully, this is helpful.
Step-by-step explanation:
What is the area of this polygon?
Check the picture below.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{triangle}{\cfrac{1}{2}(9)(6)}~~ + ~~\stackrel{rectangle}{(2)(9)}}\implies 27~~ + ~~18\implies 45[/tex]
Please answer this question friends I can't understand ?
Answer:
120%
Step-by-step explanation:
p = (24/20) 100
p = 1.2 x 100
p = 120
f(x) = 2x + 7 Find a solution for the function if the dependent variable has a value of -1 Identify the independent and dependent variables. In the form of a paragraph, explain the steps necessary to find the solution. Complete your work in the space provided.
Answer:
x=-4
Step-by-step explanation:
-1=2x+7
-1-7=2x
2x=-8
x=-8/2=-4
Evaluate the following. Answers must be in scientific notation!!!!!!!
(9.7 x 10^7) + (4.3 x 10^7)
Answer:
1.4 x 10^8
Step-by-step explanation:
What is the slope of the line in the following graph?
1. 1/3
2. 1/2
3. 2
4. 3
Answer:
1. 1/3
Step-by-step explanation:
Slope = Rise/run
=> It rises by 1, then runs by 3
=> Therefore, slope = 1/3
PLEASE HELP! By visual inspection, determine the best-fitting regression model for the data plot below.
A. Linear Decreasing
B. Linear Increasing
C. Exponential
D. No Pattern
Tysm to anyone that helps! <3
Answer:
it looks like an exponential regression model because the plots seem to be curving down to the right
Answer:
exponential
just did it rn trust me
6.3.3
Step-by-step explanation:
The cost of playing pool increases with the amount of time using the table. Identify the independent and dependent quantity in the situation.
a) cost; time using table
b) cost; number of players
c) time using table; cost
d) number of games; cost
Answer:
c) time using table; cost
Step-by-step explanation:
An independent quantity is the variable that can be controlled and changed. A dependent quantity is not controlled and is based on the changes to the independent quantity.
First, decide which quantity can be controlled. In this situation, the player gets to choose the amount of time for which they play. This means that the time using the table must be the independent quantity because it is controlled by the player.
The cost cannot be controlled. It is solely based on the amount of time played. This means that the cost is the dependent quantity in this situation.
what is the area of this tile
Remember the triangle formula
[tex]\frac{bh}{2}[/tex]
8*6/2 = 24
Answer:
24 sq. inch.
Step-by-step explanation:
Pretend the triangle is a square. The area would be 48 sq. inch. right? Well all you have to do now is 48/2=24.
For the function y=3x−1, when the input (x)= 7, the output (y) = ?
Answer:
y=3x-1 (replace x with 7 )
Step-by-step explanation:
y=3 (7)-1
y= 21-1
y= 20
note: multiply 3 with seven and minus 1 the answer is y so y=20
Marvin designed and built an 8.25-foot by 12.5-foot deck for $1.270. What was the cost of the deck per square foot?
The cost of the rectangular deck is: $0.08 per square foot.
What is the Area of a Rectangular Shape?Area of rectangular shape = length × width
The deck is rectangular.
Thus:
Cost of the deck per square foot = area of rectangular deck/total cost of deck.
Area of rectangular deck = 8.25 × 12.5 = 103.125
Cost of the deck per square foot = 103.125/1,270 = 0.08
Therefore, the cost of the rectangular deck is: $0.08 per square foot.
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Aunjoli has $30 to spend at the grocery store.
If plums cost $1.50 per pound, what is the greatest number of pounds of plums she
can buy?
Answer:
20 pounds
Step-by-step explanation:
she has 30 dollars, and 1.50 is how much each pound is
we should divide 30 (how much she can spend) by 1.5 (cost of pound) so that we know how many pounds she can buy using all the money.
after we divide, we get a result of 20, so she can buy 20 pounds for 30 dollars.
lets check.
we can multiply 20 (pounds she can buy) by 1.5 (money per pound) and that should get us to 30 dollars.
20*1.5=30
solved, let me know if you have questions or i need to explain more