Answer: C. 2x+3
Step-by-step explanation:
[tex]\displaystyle\\V=\frac{\pi r^2h}{3} \\\\V=\frac{\pi r^2(6)}{3}\\\\V=2\pi r^2\\\\\\8\pi x^2+24\pi x+18\pi \\\\V=2\pi (4x^2+12\pi +9)\\\\V=2\pi ((2x)^2+2(2x)(3)+3^2)\\\\V=2\pi (2x+3)^2\\\\THUS,\\[/tex]
[tex]2\pi r^2=2\pi (2x+3)^2[/tex]
Divide both parts of the equation by 2π:
[tex]r^2=(2x+3)^2[/tex]
Extract the square root of both parts of the equation:
[tex]r=2x+3[/tex]
A homeowner sections off part of her backyard for a vegetable garden. The width of the garden is 4 ft shorter than the length. The perimeter of the garden is 52 ft. What are the dimensions of the garden?
Answer:
length = 15ft
width = 11ft
Step-by-step explanation:
p = 2L + 2w = 52ft
w = L - 4
Substitute: 2L + 2(L-4) = 52
Simplify and solve:
2L + 2L - 8 = 52
4L - 8 = 52
4L = 60
L = 15
w = 15-4 = 11
Check:
2(15) + 2(11) = 52?
30 + 22 = 52!!!
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Answer:
13 years
Step-by-step explanation:
-4 3/4 = x-1 1/5
Whats the value of x
Answer:3/4 * 1/5 = 3/20 = 0.15
Step-by-step explanation:Multiple: 3/
4 * 1/5 = 3 · 1/4 · 5 = 3/20
Multiply both numerators and denominators. The result fraction keep to the lowest possible denominator GCD(3, 20) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - three quarters multiplied by one-fifth is three twentieths.
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The required co-terminate angles of 1817° between 0° to 360° is 343°.
What is co-terminal angles?Co-terminal Angles are points who share similar introductory side and terminal sides. Finding co-terminal points is just about as straightforward as adding or taking away 360° or 2π to each point, contingent upon whether the given point is in degrees or radians. There are a boundless number of co-terminal Angles that can be found.
According to question:For calculating co-terminal of angle 1817°,
We will subtract given angle 1817° from 2160°(multiple of 360°)
Then,
2160° - 1817°
343°
Thus, the co-terminating angle of 1817° is 343°.
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Marlon buys 9 packs of hot dogs. There are 6 hot dogs in each pack. After the barbecue, 35 hot dogs are left over. How many hot dogs were eaten
Answer: 19
Step-by-step explanation:
9x6= 54
So there’s 54 hot dogs in total
Subtract the amount left
54-35= 19
There are 19 hot dogs left
Hope this helps!
- Adult male Florida panthers have an
average weight of 52.6 kg. What is the
average weight of a male Florida panther
rounded to the nearest whole number?
The average weight of a male Florida panther rounded to the nearest whole number is 53 kg
What is average?
The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.
Average weight = 52.6 kg
52.6
The number after decimal point is 6 which is more than 5.
So add 1 to the 52, we get 53
Thus, the average weight of a male Florida panther rounded to the nearest whole number is 53 kg
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The price for 7/8 of a pound of almonds is $6.65 . What is the cost of 3 and 1/2 pounds at the same rate?
The cost of 3 and 1/2 pounds of almond at the same rate is $26.60.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In the illustration given as m/n, it should be noted that m is the numerator and n is the denominator.
Since the price for 7/8 of a pound of almonds is $6.65, the fraction per pound will be done by dividing the amount for a pound by 7/8.
= $6.65 ÷ 7/8
= $7.6
The cost of 3 and 1/2 pounds at the same rate is:
= 3 1/2 × $7.6
= $26.60
In conclusion, the cost is $26.60.
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Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 0.70L to 0.14L
Answer:
5
Step-by-step explanation:
0.7/0.14
7/10×100/14
7×100/10×14
5
lcd by inspection and division of 1/4, 3/32, 5/48, and 1/8
Part a: the LCD is measured to be 96 utilizing the inspection method.
Part b: By division of prime numbers: 96.
Explain the term LCD of the Fractions?The LCD of above fractions can be calculated using one of two methods. The inspection method is a name for the first technique. With this approach, the denominator's multiples are acquired, and the result is determined by selecting a common multiple from the pool of available multiples.The division by prime numbers is the name of the second approach. To acquire the LCD, find a prime number which divides the following fractions.The given number are-
1/4, 3/32, 5/48, and 1/8
Part a:
Find the multiples of the provided fractions' denominators, which are 4, 32, 48, and 8.
4 = 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88, 92, 96.
32 = 32, 64, 96, 128, 160, 192, 224, 256, 288 ,320.
48 = 48, 96, 144, 192, 240, 288, 336, 384, 432 and 480.
8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
The computation shows that 96, which really is divisible by 4, 32, 48, and 8, is the lowest common multiple.
As a result, the LCD is measured to be 96 utilizing the inspection method.
Part b: By division of prime numbers:
Determine the factors of the given fractions' denominators, 4, 32, 48, and 8.
4 = 2, 2
32 = 2, 2, 2, 2 and 2.
48 = 2, 2, 2, 2 and 3.
8 = 2, 2 and 2.
The generated number, 96, can be divided by the provided fractions' denominators.
As a result, the outcome is 96.
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How do we change 0.88 to fraction
Answer:
22/25
Step-by-step explanation:
0.88 = 88/100
(88:4)/(100:4)
22/25
UNIT 3
FORM B continued
UNIT JASSESSMENT
●
Name:
3 Simon and Reina practice basketball shots. Simon makes 7 baskets for every S
misses. Reina makes 9 baskets for every 7 misses. Who makes a basket more often?
Show your work.
The person who makes a basket more often, between Simon and Reina, is Simon
How to find who makes more baskets ?To find who makes the basket more, you need to find the percentage number of times the basket is made.
The percentage number of times the basket is made by Simon is :
= Number of baskets made / ( Number of baskets made + Number of baskets missed ) x 100 %
= 7 / ( 7 + 5 ) x 100%
= 7 / 12 x 100%
= 58.3%
The percentage number of times Reina makes the basket is :
= 9 / ( 9 + 7 ) x 100%
= 9 / 16 x 100%
= 56.25%
Simon therefore makes the basket more.
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5 divided by 1135………
Answer:
227
Step-by-step explanation:
just divide it by how many times it goes into 1135
Answer:
227
Step-by-step explanation:
Find the equation for the line that passes through the point (−2,0), and that is parallel to the line with the equation y=−12x−72
The linear equation parallel to y = -12x - 72 that passes through (-2, 0) is:
y = -12x - 24
How to find the linear equation?A general linear equation is written as:
y = m*x + b
Where m is the slope, and b is the y-intercept.
And two lines are parallel only if the lines have the same slope and a different y-intercept.
So, if we want to find a line parallel to:
y = -12x - 72
Then the slope of our line must be -12, then our line is something like:
y = -12x + b
Now we know that the line must pass through (-2, 0), replacing that in our line we get:
0 = -12*-2 + b
0 = 24 + b
-24 = b
The linear equation is:
y = -12x - 24
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3. The lines represented by the equations
6y +4x = 12 and 3y + 2x = 21 are
A. parallel
B. the same line
C. perpendicular
D. neither parallel nor perpendicular
7. Casey bought a 15.4-pound turkey and an 11.6-pound ham for Thanksgiving and paid $38.51. Her
friend Jane bought a 10.2-pound turkey and a 7.3-pound ham from the same store and paid $24.84.
Find the cost per pound of turkey and the cost per pound of ham.
Answer:
t = 1.195pounds.
Step-by-step explanation:
The cost per pound of Turkey and Ham are: 1.195pounds and 1.733pounds respectively.
By observing the question, we must notice this is a word problem and can be written mathematically thus;
For Casey:
15.4t + 11.6h = 38.51
For Jane:
10.2t + 7.3h = 24.84
Therefore, to find the cost per pound of Turkey and Ham, the pair of equations need to be solved simultaneously.
Therefore, we can make t the subject of the formula in equation (2) as follows;
t = (24.84 - 7.3h)/10.2
Therefore, we can substitute the value of t into equation (1) to get;
15.4{(24.84 - 7.3h)/10.2} + 11.6h = 38.51
37.51 - 11.023h + 11.6h = 38.51
0.577h = 1
h = 1.733pounds
Therefore, by substituting the value of h into equation 1, we get the value of t to be;
t = 1.195pounds.
F(x)=(x+2)^2 (x-3) graph the function
The value of the equation f ( x ) is
f ( x ) = x³ + x² - 8x - 12
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
f ( x ) = ( x + 2 )²( x -3 ) be equation (1)
Now , on simplifying the equation , we get
f ( x ) = ( x + 2 )²( x -3 )
f ( x ) = ( x² + 4x + 4 ) ( x - 3 )
Now , multiplying each term with ( x - 3 ) , we get
f ( x ) = ( x - 3 ) x² + ( x - 3 ) 4x + ( x - 3 ) 4
f ( x ) = x³ - 3x² + 4x² - 12x + 4x - 12
On simplifying the equation ,we get
f ( x ) = x³ + x² - 8x - 12
Now , the value of the equation f ( x ) = x³ + x² - 8x - 12
On graphing the equation , we get
The graph of the equation f ( x ) = x³ + x² - 8x - 12 is shown below
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The table shows the percent of each type of sandwich a cafe had available on Sunday. Sandwich Percent Ham 35 Roast Beef 25 Turkey 40 There are a total of 225 ham and turkey sandwiches. How many sandwiches did they have in all on Sunday? sandwiches Part B Fill in the blank question. If the cafe sells all the sandwiches at $4.50 each, how much money will the cafe earn?
The total number of sandwiches they have in all on Sunday is 375 sandwiches.
The amount earned by the cafe if each sandwich cost $4.50 is $1,687.5
What is the total number of sandwiches?Ham sandwich = 35%Roast beef sandwich = 25%Turkey sandwich = 40%Total ham and turkey sandwiches = 225Total number of sandwiches = xTotal percentage of ham and turkey sandwiches = 35% + 25%
= 60%
So,
225 = 60% of x
225 = 0.60 × x
225 = 0.60x
divide both sides by 0.60
x = 225/0.60
x = 375
Hence,
Total number of sandwiches = 375
If the cafe sells all the sandwiches at $4.50 each
The total money earned by the cafe = cost of each sandwich × total number of sandwiches
= $4.50 × 375
= $1,687.5
Therefore, the total sandwiches sold in the cafe on Sunday is 375 sandwiches.
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2. Give another name for KL
Answer: Thousand Liters
Step-by-step explanation:
Arturo buys 12 bottles of grapefruit juice at the corner store for a total cost of $8.64. If each bottle costs the same amount, how much is 16 bottles of juice?
Answer:
[tex]\huge\boxed{\sf \$ \ 11.52}[/tex]
Step-by-step explanation:
Given that,12 bottles of juice = $8.64
Using unitary method.Divide 12 to both sides
12/12 bottle of juice = $8.64/12
1 bottle of juice = $0.72
Multiply 16 to both sides
1 × 16 bottles of juice = $0.72 × 16
16 bottles of juice = $11.52[tex]\rule[225]{225}{2}[/tex]
Solve the absolute value of equation.
List both the answers.
|x|-2=5
Answer:
-7 or 7
Step-by-step explanation:
|x|-2=5
Add 2 to each side:
|x|=7
Because it is the absolute value, x can be -7 or 7
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Are travels 120 miles and one and a half hours what is the average speed for miles per hour
Answer: 80
Step-by-step explanation:
You have 120 miles in one and a half hour
120÷1 1\2 =80 is your speed
3.A cheetah runs 100 m in 6 seconds. At this rate, how long will it take the cheetah to run 150 m?
Answer: 9 seconds
hope it was helpful (^ = ^)
Step-by-step explanation:
x=number of seconds
100m/6s=150/x
Cross multiply and make x the subject
100m(x)=150m(6s)
x=(150m x 6s)/100m = 9s
therefore it would take the cheetah 9 seconds to run the 150m
PLEASE HELP!!
Two glasses of milk and 3 snack bars have a total of 67 carbohydrates (carbs), and 4 glasses of milk and 2 snack bars have a total of 82 carbs. Determine how many carbs are in one glass of milk and in
one snack bar
There are _____ carbs in one glass of milk
There are _____ carbs in one snack bar
Answer: The carbs in one glass of milk is 14 carbs and one snack bar is 10 carbs
Step-by-step explanation: Hope this helps!
Answer:
Step-by-step explanation:
78 and 10g
Mr. Clark is contemplating which chauffeured car service to take to the airport. The first costs $28 up front and $1 per kilometer. The second costs $3 plus $2 per kilometer. For a certain driving distance, the two companies charge the same total fare. What is the total fare? What is the distance?
Answer:
The total fare is $53, and the distance is 25
Step-by-step explanation:
The equation we can use for the first car would be:
28 + (1×k) = fare (f)
The equation we can use for the second car would be:
3 + (2×k) = f
If we were to plug in 20 into the equations, it would look like this:
28 + (1×20) = 48 (first car)
3 + (2×20) = 43 (second car)
As you can tell, the prices aren't matched up just yet.
Let's plug 25 into the equations.
28 + (1×25) = 53
3 + (2×25) = 53
The number of kilometers traveled is 25, and the price is $53
Patrick is in a grocery store parking lot, 90meters away from his car. If he pushes his shopping cart at a constant velocity of 2meterspersecond toward his car, how much time will it take him to get one-third of the way to his car?
Write your answer as a whole number.
15 seconds of time will it take him to get one-third of the way to his car
What is Distance?The length along a line or line segment between two points on the line or line segment.
Given,
Patrick is in a grocery store parking lot, 90meters away from his car
Patrick pushes his shopping cart at a constant velocity of 2meterspersecond toward his car.
We need to find time will it take him to get one-third of the way to his car
one-third of the way to his car means 1/3 of 90 which is 30 meters.
Speed =Distance/ Time
Time=Distance/speed
=30/2
=15 units.
Hence, 15 seconds of time will it take him to get one-third of the way to his car
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SOLVE U
2u - 2/3 = - 3/4u+3
U =
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of u is 4/3
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2u - 2/3 = -(3/4)u + 3
Add 2/3 on both sides.
2u = -(3/4)u + 3 + 2/3
Add (3/4)u on both sides.
2u + (3/4)u = 3 + 2/3
(8u + 3u) / 4 = (9 + 2)/3
11u/4 = 11/3
u/4 = 1/3
u = 4/3
Thus,
The value of u is 4/3
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Convert 170 gallons into cubic feet. Round
your answer to the nearest tenth.
*Note: you must use these exact conversion factors to
get this question right.
Answer:22.7
Step-by-step explanation: 170/7.481=22.724234728 rounded to the nearest tenth is 22.7
The gcf of 28y-24 is
Answer:
4
brainliest plssif f(x)=2x+6 , g(x)= - 5x - 9 what is the product of and g?
Answer:
f(x) * g(x) = -10x2 - 48x - 54
Step-by-step explanation:
(2x+6) * (-5x-9)
-10x2 - 18x - 30x - 54
-10x2 - 48x - 54
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Answer:
The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x
Step-by-step explanation:
Transformation techniques
Transformation is the process of changing the position of an object on the xy-plane.Given the parent functionf(x) = 4xIf the function is not reflected over x-axis, the resulting function will be f(x) = -4xIf the resulting function is compressed by a factors of 1/8, hence the final function rule will be;g(x) = 1/8(-4x)g(x) = -1/2xHence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x
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