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Related Questions
99 POINTS! NEED HELP ASAP! WILL GIVE BRAINLIEST ANSWER!
Jenny is baking three dozen cookie sandwiches for her friend’s birthday party. She plans to transport the cookie sandwiches in the same food storage container but is not sure if all 36 will fit inside of the container.
Part A: Calculate the volume of one cookie sandwich to the nearest cubic unit. Use 3.14 for
Part B: Calculate the total capacity of the food storage container to the nearest cubic unit. Use 3.14 for [tex] use 3.14 for \pi
use this equation for Parts B and A[/tex]
Part C: Given your calculations regarding the volumes in Parts A and B, do you anticipate that Jenny will be able to transport all of the cookie sandwiches in one food storage container? In two or more complete sentences, explain your reasoning.
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volume = PI x r^2 x h
volume = 3.14 x 1^2 x 1.5 = 4.71in^3 = 5 in^3 ( one cookie)
B) container volume = 3.14 x 3.5^2 x 5 = 192.3in^3 = 192 in^3
C) 36 cookies x 5in^3 = 180 in^3
this is less than the volume of the container so they will all fit
Alright to solve it
Part A)
C = 1.5
F =1
You will need to solve it for volume= length times width and times height
3.14 x 1^2 x 1.5
The answer you will get is 5 in^3
Part B) Just do the same proccess as i did on the first one
CV= 192 in^3
Part C)
C=36x5in^3
So this is going to be 180 in^3 because is the less volume.
Hope this helps
Tobey
A gift bag is shaped like a rectangular prism and has a volume of 1152 cubic inches. The width of the bag is w, the length is 2w+4, and the height of the bag is 18-w (which is greater than the width). What are the dimensions of the bag?
Answers
V=(h)(l)(w)
V: It is the volumen of the rectangular prism (V=1152 inches³).
h: It is the height of the rectangular prism (h=18-w).
l:It is the lenght of the rectangular prism (l=2w+4).
2. When you substitute these calues into the formula, you obtain:
V=(h)(l)(w)
1152=(18-w)(2w+4)(w)
(18-w)(2w+4)(w)-1152=0
3. Then, you should mutiply them:
36w²-2w³+72w-4w²-1152=0
32w²-2w³+72w-1152=0
4. When you factor, you obtain:
2(w-16)(w-6)(w+6)
w1=16
w2=6
w3=-6
5. The problem says that the height is greater than the width, therefore, the widht is:
w=6 inches
6. The length is:
l=2w+4
l=2(6)+4
l=16 inches
7. And the height is:
h=18-w
h=18-6
h=12 inches
What are the dimensions of the bag?
The dimensions of the bag are:
l=16 inches
h=12 inches
w=6 inches
Final answer:
In this high school math question, you will solve for the dimensions of a gift bag shaped like a rectangular prism using the given volume and expressions for width, length, and height.
Explanation:
The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height. In this case, the volume of the gift bag is 1152 cubic inches, so we have 1152 = w(2w+4)(18-w).
Solving this equation leads to w = 8, which means the width is 8 inches, length is 20 inches, and height is 10 inches.
Therefore, the dimensions of the gift bag are 8 inches width, 20 inches length, and 10 inches height.
An ice-cream shop sold 2.87 gallons of rocky road ice cream yesterday. The shop sold 0.449 gallons of rocky road ice cream today. What was the total amount of Rocky Road ice cream sold yesterday and today? Enter your answer, as a decimal, in the box.
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Po has a frame that is 9 in x 8 in. What is the maximum area the picture can have to fit in the frame? A) 63 sq in B) 72 sq in C) 81 sq in D) 96 sq in
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Answer:
B) 72 sq in
Step-by-step explanation:
The maximum size of the picture that can fit into the frame must be equivalent to the area of the shape. Given that the frame is 9 in x 8 in, it may be safe to conclude that the frame is a 4 sides plane shape, a rectangle.
The area of a rectangle is given as the product of it's length and breadth, which are 9 in and 8 in respectively. Hence, maximum area the picture can have to fit in the frame
= 9 in * 8 in
= 72 sq in
Each person in a ticket line gets either one or two tickets. You are the 51st person in line. Forty percent of the people in front of you get one ticket each, and the rest of the people in front of you get two tickets each. How many tickets will have been given out when you reach the ticket booth?
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50*.4=20
50*.6=30
30*2=60
60+20=80
You have a camera with a 16 mp resolution. how many pixels are represented by that resolution?
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1 MP equals--------------------------> 1 million pixels
therefore
16 MP is equal to-----------------------> X
X=16*1=16 million pixels.
the answer is 16000000 pixels (16 million pixels.)
Jared is in charge production in a factory that makes lightbulbs. The factory made 2648 lightbulbs over the weekend. Jared wants to pull a sample of these bulbs for testing. Which sample would give Jared the most -accurate test readings ? —a sample consisting every 20th lightbulb- a sample consisting every 40th light bulb- a sample consisting every 50th lightbulb- a sample consisting every 100th light bulb?
Answers
Answer:
A
Step-by-step explanation:
Ashley walks 1/3 of a mile each day. After 10 days, how many miles has she walked? 2 1/33 1/39 1/310 1/3
Answers
then, multiply the fractions, numerators and denominators separately
and you'll get 10/3, to simplify it'll be 3 1/3 or 3.3333
12 is 0.3% of what number?
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Here is your answer:
The proper answer to this question is "4,000".
Your answer is 4,000!
If you need anymore help feel free to ask me!
Hope this helps!
Answer:
4,000
Step-by-step explanation:
Which of the six trigonometric functions do not depend on the value of r?
Answers
Now we can construct our trigonometric ratios for our triangle as usual:
[tex]sin \alpha = \frac{y}{r} [/tex]
[tex]cos \beta = \frac{x}{r} [/tex]
[tex]tan \beta = \frac{y}{x} [/tex]
[tex]csc \beta = \frac{r}{y} [/tex]
[tex]sec \beta = \frac{r}{x} [/tex]
[tex]cot \beta = \frac{x}{y} [/tex]
As you can see the only two trigonometric functions that don't depend on the value of [tex]r[/tex] are tangent and cotangent.
What is the factored form of 6x2 + 13x + 6? (x + 4)(x + 9) (2x + 3)(3x + 2) (2x + 6)(3x + 1) (6x + 1)(6x + 1)?
Answers
Answer: B
Step-by-step explanation:
just did on edge
Find the dimensions of a rectangle whose perimeter is 24 feet and whose area is 27 square feet.
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In 10 minutes, the top three finishers in a hot dog eating contest consumed a total of 130 hot dogs. the winner, person a, ate 8 more hot dogs than the runner-up, person
b. person c finished a distant third, 10 hot dogs behind person
b. how many hot dogs did each person eat?
Answers
therefore, person a ate x+8 hotdogs
and person c ate x-10 hotdogs
they all ate 130 hotdogs in total so
x + x + 8 + x - 10 = 130
3x -2 = 130
3x = 132
x = 44
so person b ate 44 hotdogs
person a ate 8 more so 52 hotdogs
and person c ate 10 less than person b so 34 hotdogs
Final answer:
The winner, Person A, ate 52 hot dogs, the runner-up, Person B, ate 44 hot dogs, and Person C finished third with 34 hot dogs.
Explanation:
The question involves solving a system of linear equations to find out how many hot dogs each participant in a hot dog eating contest ate. Let's assign variables to each person: A for the winner, B for the runner-up, and C for the third-place finisher. According to the problem, A ate 8 more hot dogs than B, and C ate 10 fewer hot dogs than B.
Here are the equations based on the information provided:
A = B + 8 (Person A ate 8 more than person B)C = B - 10 (Person C ate 10 less than person B)A + B + C = 130 (Together they ate 130 hot dogs)Now we substitute the expressions for A and C in terms of B into the third equation:
(B + 8) + B + (B - 10) = 1303B - 2 = 1303B = 132B = 44Using the value of B, we find out A and C:A = 44 + 8 = 52C = 44 - 10 = 34Therefore, Person A ate 52 hot dogs, Person B ate 44 hot dogs, and Person C ate 34 hot dogs.
an architect created plans for a house using a scale factor of 1:16 . In the plans, the floor of the house has an area of 7 square feet. What is area of the floor in the actual house?
Answers
Answer:
The answer above me is correct
Step-by-step explanation:
Cause he big brain
Find the 11th term from the end in the AP 56, 63, 70,..., 329
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56, 63, 70,..., 329
First find the common difference:
d=a2-a1
d=63-56
d=7
Formula:
an=a1+(n-1)d
First find the number of terms.
329=56+(n-1)7
329=56+7n-7
329=49+7n
280=7n
40=n
or
n=40
We have to find 40-11=29 th term ( 11 th term from the end)
a29= 56+(29-1)7
a29=56+(28)7
a29=56+196
a29=252
Answer: 252 is 11th term from the end.
Solve 5kx + 6 = 7kx for x
Answers
5kx + 6 = 7kx
First, divide both sides by k to eliminate that variable:
5x + 6 = 7x
Then subtract 5x from each side:
6 = 2x
Lastly, divide each side by 2 to solve for x:
3 = x
Hope this helps!
Hope this helped!!
Xoxo~ Melis
Cylinder a has a radius of 6 cm. Cylinder b has the same height and a radius half as long as cylinder a. What fraction of the volume of cylinder a is the volume of cylinder b what fraction of the volume of cylinder is the volume of cylinder? Explain.
Answers
Answer:
the answer is 1/4
Step-by-step explanation:
x = y−4, 2x−5y = 3
Which one-variable linear equation represents the system of equations?
2(y-4)-5y = 3
2x-5(y-4) = 3
2x-5y = y-4
2x-5(x-4) = 3
Answers
2x-5y=3 this eqn 2..
Two things are possible here...
Its either you substitute for x in equation 2... Or you substitute for y...
x=y-4 put this in the equation 2..
2x-5y=3.. Replace the x with (y-4)
2(y-4)-5y = 3...
Since this is In the option no point in substituting for y...
Hope this helped...?
The solution is Option A.
The value of the equation is 2( y - 4 ) - 5y = 3
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 value of x = y - 4 be equation (1)
Let the value of the equation 2x - 5y = 3 be equation (2)
Now ,
We know the value of the equation x = y -4
Substituting the value of equation (1) in equation (2) , we get
2 ( y - 4 ) - 5y = 3
So , the equation has now become ,
2 ( y - 4 ) - 5y = 3
Hence , the value of the equation is 2 ( y - 4 ) - 5y = 3
To learn more about equations click :
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How can I find the measurements for this questions?
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Since the trapezoid is isosceles, U = T, V = S.
a) T = 109°
b) U = 109°
C) V = 71°
PLEASE HELP ME! 50 POINTS IF YOU GET IT RIGHT!!
Darren flipped a quarter 40 times. The quarter landed on heads 65% of the time. How many times did the quarter land on tails ?
A 14
B 26
C 35
D 65
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Which expressions is not a polynomial
A. z + 1
B. 2x^4 - y
C. 6 + w
D. y^2 - ^3√y + 4
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The sequence an= 27(1/3)^n-1 is graphed below. find the average rate of change between n=2 and n=4
A. - 1/4
B. 1/4
C. -4
D. 4
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[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 2 &,& 9~) % (c,d) &&(~ 4 &,& 1~) \end{array} \\\\\\ % slope = m \stackrel{\textit{average rate of change}}{slope} = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-9}{4-2}\implies \cfrac{-8}{2}\implies -4[/tex]
A jar contains 3 red, 4 blue, and 2 white marbles. What is the probability that a marble drawn at random is not red?
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Answer:
Probability that a marble drawn at random is not red = [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
Given : A jar contains 3 red, 4 blue, and 2 white marbles.
To find : What is the probability that a marble drawn at random is not red.
Solution : We have given that
Red marbles = 3.
White marbles = 2.
Blue marbles = 4
Total marbles = 9
Marbles that are not red = white + blue =2+4 = 6.
Probability that a marble drawn at random is not red = [tex]\frac{Number\ of\ marbles\ not\ red}{Total\ that\ number\ of\ marbles}[/tex].
Probability that a marble drawn at random is not red = [tex]\frac{6}{9}[/tex].
Probability that a marble drawn at random is not red = [tex]\frac{2}{3}[/tex].
Therefore, Probability that a marble drawn at random is not red = [tex]\frac{2}{3}[/tex].
PLEASE MATH HELP!!
The area of this circle is 96π m².
What is the area of a 30º sector of this circle?
4π m²
8π m²
9π m²
16π m²
Answers
30 degrees / 360 degrees = 0.0833
0.0833 * 96 = 8
answer is 8π m²
The area of a [tex]30^{\circ}[/tex] sector of this circle is [tex]8\pi \ m^2[/tex]. The correct option is B. [tex]8\pi \ m^2[/tex].
Given,The area of circle is [tex]96 \pi \ m^2[/tex].
We have to calculate the area of [tex]30^{\circ}[/tex] sector of this circle.
Area of circle:We know that, Area of circle is,
[tex]A=\pi r^{2}[/tex]
Here, [tex]96\pi =\pi r^{2}[/tex]
Or,
[tex]r^{2} =96[/tex]
[tex]r=\sqrt{96}[/tex]
[tex]r=4\sqrt{6}[/tex]
So, radius of the circle,
[tex]r=4\sqrt{6}[/tex] [tex]m[/tex].
Now we know that Area of a Sector of Circle
Say [tex]A_{1}[/tex],
[tex]A_{1} = \frac{\Theta}{360} \pi r^{2}[/tex]
where [tex]\Theta[/tex] is the angle subtended at the center, given in degrees, and '[tex]r[/tex]' is the radius of the circle.
So,
[tex]A_{1} =\frac{30}{360} \pi (4\sqrt{6} )^{2}[/tex]
[tex]A_{1} =\frac{1}{12} \pi \times96[/tex]
[tex]A_{1} =8\pi \ m^2[/tex].
Hence the area of a [tex]30^{\circ}[/tex] sector of this circle is [tex]8\pi \ m^2[/tex]. the correct option is B [tex]8\pi \ m^2[/tex].
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helpppppppppppppppppppppppppppppp
Answers
First we rewrite the expressions:
root (-36 * 3) -raiz (-3)
6 * root (-3) -raiz (-3)
5 * root (-3)
5 * root (3) * root (-1)
By definition:
i = root (-1)
Substituting:
5 * root (3) * i
Answer:
5 * root (3) * i
option 1
If you see these clouds in the sky, which type of weather might you expect?
(Points : 3)
fog
no precipitation
heavy rain or snow
thunderstorms
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The picture is filled with a lot of dark clouds, in which there will be a probability for thunderstorms to occur. We all know that when there is lightning, thunder will occur after it. With the photo given, there will be the probability of thunderstorm with heavy rain.
How do you simplify (t^2 over 3)^5 ?
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Hope this helps
Btw- I used photo-math, its a app you should probably get
A farmer can buy two types of plant food, mix a and mix
b. each cubic yard of mix a contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. each cubic yard of mix b contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. the minimum monthly requirements are 440 pounds of phosphoric acid, 990 pounds of nitrogen, and 200 pounds of potash. if mix a costs $20 per cubic yard and mix b costs $30 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? what is this cost?
Answers
To find the minimum cost of blending the plant food mixes, set up a system of equations to calculate the quantities of each mix needed. Solve the equations to find the values of x and y, then calculate the cost using the mix prices.
Explanation:To find the minimum cost of blending the plant food mixes, we need to set up a system of equations and solve for the quantities of each mix needed. Let's let x be the number of cubic yards of mix a and y be the number of cubic yards of mix b that the farmer needs.
The total pounds of phosphoric acid required from mix a and mix b should equal the minimum monthly requirement of 440 pounds. This gives us the equation: 20x + 10y = 440.
The total pounds of nitrogen required from mix a and mix b should equal the minimum monthly requirement of 990 pounds. This gives us the equation: 30x + 30y = 990.
The total pounds of potash required from mix a and mix b should equal the minimum monthly requirement of 200 pounds. This gives us the equation: 5x + 10y = 200.
Solving this system of equations will give us the values of x and y. Once we have these values, we can calculate the cost by multiplying the quantity of each mix by their respective prices and adding them together.
There are 60 sixth graders, 50 seventh graders, and 70 eighth graders at your school. Every student gets entered in a raffle. What is the probability that an eighth-grade student will win the raffle?
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Hope this helps:)
Simplfy the expression: (x - 9)^2