Answer:Volume = length x width x height.
You only need to know one side to figure out the volume of a cube.
The units of measure for volume are cubic units.
Volume is in three-dimensions.
You can multiply the sides in any order.
Which side you call length, width, or height doesn't matter.
Step-by-step explanation:
The solution is: 216.6 cm^3 will be the volume of the new figure.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
we know that,
Volume = length x width x height.
You only need to know one side to figure out the volume of a cube.
The units of measure for volume are cubic units.
Volume is in three-dimensions.
here, we have,
The volume of a figure is 3250 cm^3.
now, we have,
If the dimensions are multiplied by 1/5,
then, we have,
Volume = length/5 x width/5 x height/5.
or, Volume = length x width x height / 15
or, Volume = 3250/ 15 cm^3
or, V = 216.6 cm^3
Hence, 216.6 cm^3 will be the volume of the new figure.
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The length of a rectangle is 3 units more than the width. The area of the rectangle is
40 units. What is the length, in units, of the rectangle?
Answer:
8 units for the length
Step-by-step explanation:
Let l = length
w = width
l = w+3
A = l*w
substitute what we know
40 = (w+3) *w
distribute
40 = w^2 +3w
Subtract 40 from each side
0 = w^2 +3w -40
Factor
0 = (w+8) (w-5)
Using the zero product property
w+8 =0 w-5=0
w= -8 w=5
Since the width cannot be negative
w=5
l = w+3 = 5+3
l = 8 units
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 26 feet and a height of 14 feet. Container B has a diameter of 18 feet and a height of 15 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full. After the pumping is complete, what is the volume of the empty space inside Container A
Answer:
First, let's work out the V of container A and B
V_A = pi x (diameter/2)^2 x height = pi x (26/2)^2 x 14 = 2366 pi (ft3)
V_B = pi x (diameter/2)^2 x height = pi x (18/2)^2 x 15 = 1215 pi (ft3)
After pumping water from container A to container B until B is full:
The empty space inside container A would be:
V_empty = V_A - V_B = 2366 pi (ft3) - 1215 pi (ft3) = 1151 pi (ft3) = ~3615.97 (ft3)
Answer:
3,815.1 feet³
Step-by-step explanation:
Volume filled in B = Volume emptied from A
pi × r² × h
3.14 × (18/2)² × 15
3815.1 feet³
Identify the cross section of the solid shown in the diagram.
A. octagon
B. hexagon
C. quadrilateral
D. pentagon
Answer:
I think it is (D) Pentagon
the product of 16 and the variable of p
Answer:
16p
Step-by-step explanation:
The product means multiply
16*p
16p
Answer:
When variables are next to a number or another variable it means multiply
Product means multiply
16 x p is what the sentence means in an equation and 16p is equal to 16 x p so B. is correct
Step-by-step explanation:
What is the volume of the right rectangular prism, in cubic centimeters? A prism has a length of 4 centimeters, height of 9 centimeters, and width of 3 centimeters. cubic centimeters
The volume of the given rectangular prism is 108 cubic centimeters.
What is a rectangular prism?A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.
Given that, a prism has a length of 4 centimeters, height of 9 centimeters, and width of 3 centimeters.
We know that, the volume of a rectangular prism = Length×Breadth×Height
= 4×3×9
= 108 cubic centimeters
Therefore, the volume of the given rectangular prism is 108 cubic centimeters.
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URGENT Gabe is driving toward San Francisco at a speed of 48 mph. If his dad left an hour later at a speed of 72 mph, how long will it take for Dae’s dad to catch up?
Answer:
2 hours
Step-by-step explanation:
48=72t-48t
48= (72-48) x t
48=24t
!!!!NEED HELP PLEASE!!!! At a video game rental store, you need to pay a $20 membership fee to rent the video games at a cheaper price. Based on the table, what is the cost per video game?
Answer:
$2
Step-by-step explanation:
if the 0 games are $20 that means that is your beginning start
because you got the membership.
Then from the 5 games is $30
you take away 20 from 30 and is left with $10
then divide that by the 5 games you get
$2 per game
does anyone know this
Answer:
x = 12.24
Step-by-step explanation:
In any circle the following ratio can be used.
[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{x}{360}[/tex] , substitute values
[tex]\frac{1.88}{2(8.8)\pi }[/tex] = [tex]\frac{x}{360}[/tex] ( cross- multiply )
17.6π x = 276.8 ( divide both sides by 17.6π )
x = [tex]\frac{276.8}{17.6\pi }[/tex] ≈ 12.24
Answer:
12.24°
Step-by-step explanation:
I hope it helps :)
A bus took 1 hour and 30 minutes. How many minutes is that?
Answer: 90 mins
Step-by-step explanation:
1hr=60 mins+ 30 mins
Answer:
90 minutes.
Step-by-step explanation:
Conversion ratio of hours to minutes:
1 hour = 60 minutes.
Add the two numbers together:
60 minutes + 30 minutes = 90 minutes.
90 minutes is your answer.
~
witch of the expressions below could be used to find the amount of space occupied by the cone
Answer:
V = 1/3 * πr²*h
Step-by-step explanation:
That's the formula for volume of a cone
Taylor is buying shares of stock that cost 8 dollars each. How many shares can he buy if he can spend no more than 250 dollars?
f(x)= 20 + 12(x - 2)
Answer:
f(x) = 12x - 4
Step-by-step explanation:
f(x)= 20 + 12(x - 2)
Distribute
f(x) =20 +12x - 24
Combine like terms
f(x) = 12x+20-24
f(x) = 12x - 4
Answer:
y=12x-6
Step-by-step explanation:
y=20+12x-24
y=12x-4
An amusement park has 18 attractions, including 8 arcades.
What is the probability that a randomly selected attraction at this amusement park will be an arcade
Answer:
8/18
Step-by-step explanation:
8 out of 18 attractions at the park are arcades, as stated.
hope this helps!
The area of a square is 25 square inches. What is the perimeter of the square?
Answer:
25 square root is 5 so the missing sides is 5.
5+5=10 x 2 = 20
perimeter is 20
Hope this helps
Step-by-step explanation:
The perimeter of the given square is 20 inches.
What is the perimeter of the square?The perimeter of a square is defined as the addition of the lengths of the square.
The perimeter of a square = 4a
Where a is the length of the side of the square
Given that the area of the square is 25 square inches.
Let a is the length of the side of the square
The area of the square = a² = 25
So a = 5
Since all sides of a square are equal, we can calculate the perimeter by multiplying the length of one side by 4:
The perimeter of a square = 4a
The perimeter of a square = 4(5)
The perimeter of a square = 20 inches
Therefore, the perimeter of the square is 20 inches.
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Which of the following could represent the scale factor of the larger figure to the smaller figure?
15.9
5:3
3:2
21:14
2:3
20:30
Answer:
3:2 and 21:14
Step-by-step explanation:
The same side on the larger and smaller cylinders is 30 and 20 respectively or 18 to 12
Simplify:
30:20 => 3:2
18:12 => 3:2
Therefore, the answer is 3:2
However, in addition you can multiply 3 by 7 to get 21 and 2 by 7 to get 14, so 21:14 also works
interpreting cluster and outliers
Answer:
huh
Step-by-step explanation:
confused
The regional manager of a chain of department stores created the following stem and leaf plot showing the number of pairs of glasses at each of the stores how many department stores have exactly 37 pairs of glasses
Answer:
The stem and leaf plot is not shown, so I will answer the question in a general way.
Suppose you have the following stem and leaf plot
I 2 I 0 5 8
I 3 I 4 4 7 8
I 4 I 0
Then, the data is: 20, 25, 28, 34, 34, 37, 38, 40. In consequence, one department stores has exactly 37 pairs of glasses. But if your stem and leaf plot is:
I 2 I 0 5 8
I 3 I 7 7 7 8
I 4 I 0
then, three department stores have 37 pairs of glasses, and none of them have 34 pairs of glasses.
If a radius is 20, what is the diameter? (Remember d=2r)
Answer:
40
Step-by-step explanation:
20(2)=40
Answer:
40
Step-by-step explanation:
d=2r
=2(20)
=40
Which decimal is equivalent to
-35?
Answer:
-35.0
Step-by-step explanation:
Answer:
-.35
Step-by-step explanation:
Meghan needs to board her cats and dogs at a kennel while she is on vacation. Pet Hotel charges $42.50 for a cat and $64.00 for a dog for a total cost of $277.00. Animal Spa charges $35.50 for a cat and $50.50 for a dog, for a total cost of $222.50.
Write a system of equations to represent each charge. Let x represent the number of cats and let y represent the number of dogs.
Pet Hotel: ?
Animal Spa: ?
Answer:
Pet Hotel: 42.50 x + 64 y =277
Animal Spa: 35.50x + 50.5y = 225.50
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each place:
For Pet Hotel, the total cost (277) must be equal to the product of the number of cats (x) and the charge per cat (42.50) plus the product of the number of dogs (y) and the charge per dog (64) .
Mathematically speaking:
Pet hotel: 42.5 x + 64 y =277
Same process for Animal Spa:
Animal Spa: 35.5 x + 50.5y = 225.50
The system is:
42.5 x + 64 y =277 (Pet Hotel)
35.5 x + 50.5y = 225.50 (Animal Spa)
round 37358 to the nearest hundreds
Answer:
37400
Step-by-step explanation:
just cause.
Answer:
37400
Step-by-step explanation:
Find the hundreds place. 37358Look at the number before it. 37358If the number is 5 or more, round the hundreds place up one.if the number is 4 or less, keep is the same.Find the decimal equivalent to 415.
0.26
0.2ModifyingAbove 6 with bar
ModifyingAbove2.6 with bar
ModifyingAbove2.6 with bar
Answer:
[tex](B)0.2\overline{6}[/tex] (0.2ModifyingAbove 6 with bar)
Step-by-step explanation:
We want to find the decimal equivalent of 4/15.
[tex]\dfrac{4}{15}=0.266666666.....[/tex]
Since the number 6 recurs/repeats indefinitely, we write the recurring decimal as:
[tex]0.266666666.....=0.2\overline{6}\\$Therefore:\\4/15=0.2\overline{6}[/tex]
The correct option is B.
Answer:
i got you bro the answer is 0.26 with a line on top of the 6
Which are perfect squares? Check all that apply.
A) 9
B) 24
C) 16
D) 200
E) 169
F) 625
Answer:
A
Step-by-step explanation:
Answer:
A. 9
C. 16
E. 169
F. 625
Step-by-step explanation:
Help meh................
....
Answer:
71-45 is 26
Step-by-step explanation:
Answer:
71-45 = 26
Step-by-step explanation:
The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:
PPLLLZZZ HEEELPP WILL MARKK BRAINLESTTT!!!! PLEASE HURRY
Car A
y = 55x + 32
Car B
y = 42x + 58
After how many hours will the two cars be at the same distance from their starting point and what will that distance be?
2 hours, 142 miles
2 hours, 145 miles
3 hours, 142 miles
3 hours, 145 miles
Answer:
2 hours, 142 miles
Step-by-step explanation:
Given;
equation of motion of car A as;
y = 55x + 32
equation of motion of car B as;
y = 42x + 58
where;
y is distance measured in miles
x is time measured in hours
When the distance of the two cars are equal, we will have the following equation;
55x + 32 = 42x + 58
collect like terms and solve for x
55x - 42x = 58 - 32
13x = 26
x = 26 /13
x = 2 hours ( x is time measured in hours)
Now substitute in the value of x into any equation of the cars;
y = 55x + 32
y = 55 (2) + 32
y = 110 + 32
y = 142 miles ( y is distance measured in miles)
Thus, the correct option is 2 hours, 142 miles
one negative number is 4.5 more than another number. the sum of the squares of these numbers is 46.25. Find both
Answer:
y = -6.5 and x = 2
Step-by-step explanation:
Let one negative number be -y and another number be x
We are given that one negative number is 4.5 more than another number
So, -y=x+4.5
We are also given that The sum of the squares of these numbers is 46.25.
So,[tex]x^2+(-y)^2=46.25\\x^2+(x+4.5)^2=46.25\\x^2+x^2+20.25+18x=46.25\\2x^2+18x=26.25\\x^2+9x=13.125\\x^2+9x-13.125=0\\[/tex]
x=-6.5,2
When x = -6.5
-y=x+4.5
-y=-6.5+4.5
-y=-2
y=2
When x = 2
-y=x+4.5
-y=2+4.5
-y=6.5
y=-6.5
So, y = -6.5 and x = 2
math help pls, thank you
Answer:
D. A minimum
Step-by-step explanation:
Point F is lower than the points nearby, both to the left and the right. Therefore it is a local minimum.
Bess took several excellent pictures of Mount St. Helens' eruptions. She decided to sell her enlarged pictures at different prices from $3 to $5.
If she sold 50 pictures, which of these is a reasonable estimate of the money she could make?
O A $90 to $150
O B. $150 to $250
OC. $120 to $200
OD. $160 to $300
OE. $300 to $500
PLEASE HELP ME I REALLY NEED IT
Answer:
y = 8x+0
Step-by-step explanation:
The slope is
m = (y2-y1)/(x2-x1)
= (-8-0)/(-1-0)
-8/-1
8
The y intercept is 0 since it goes through (0,)
The slope intercept form of the equation is
y = mx+b
y = 8x+0
Answer: Y = 8x + 0 because when u subtract -8-0/-1-0 it is equal to -8/-1 = 8.
Please help me with these questions
Answer:
Step-by-step explanation:
