Answer:
Volume of air inside the cylinder = 71.6 cm³
Step-by-step explanation:
Step 1: Determine height and radius of the cylinder
Since the three tennis balls fits in closely into the cylindrical container, the height of the cylinder is equal to the sum ofnthe diameters of the three balls.
Also, the radius of the cylinder is equal to the radius of the tennis balls.
Height of cylinder = 3 × 4.5 cm = 13.5 cm
Radius of cylinder/balls = diameter of ball / 2 = 4.5 cm / 2 = 2.25 cm
Step 2: Determination of the volume of the cylinder
Volume of a cylinder = πr²h
π = 22/7; r = 2.25 cm; h = 13.5 cm
Volume of cylinder = 22/7 × (2.25 cm)² × 13.5 cm
Volume of cylinder = 214.8 cm³
Step 3: Determining the volume of the three balls
Volume of a sphere = 4πr³/3
Volume of three balls = 4πr³/3 × 3 = 4πr³
Volume of the three balls = 4 × 22/7 × (2.25 cm)³ = 143.2 cm³
Step 4: Determining the volume of air
Volume of air inside the cylinder = Volume of cylinder - volume of the three balls
Volume of air = 214.8 cm³ - 143.2 cm³ = 71.6 cm³
Therefore, volume of air inside the cylinder = 71.6 cm³
You are in a store shopping, you see two nice shirts, one is 50% off, the regular price of $45.50 and the other is 30% of $35, which one is cheaper?
Answer:
The answer would be the second option
Step-by-step explanation:
first option 45.50/2 = 22.75
second option would be 10.75
so the second option is correct
Joseph has 22 gallons of fertilizer. He uses 7 quarts to fertilize his plants.
How many quarts of fertilizer are left?
The solution is:
48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
The directions say to use 4/5 of a quart of fertilizer for each acre of land.
Alan has two fields,
Field 1
22 1/2 acre of land
1 acre of land = 4/5 quart
22 1/2 acre of land = x
Cross Multiply
x = 22 1/2 × 4/5
x = 45/2 × 4/5
x = 18 quart of fertilizer
Field 2
38 1/4 acres of land
1 acre of land = 4/5 quart
38 1/4 acre of land = x
Cross Multiply
x = 38 1/4 × 4/5
x = 153/4 × 4/5
x = 30.6 quart of fertilizer
The total fertilizer that Alan will need for his two fields is calculated as:
18 quart of fertilizer + 30.6 quart of fertilizer
= 48.6 quart of fertilizer
Hence, 48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.
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complete question :
alan is spreading fertilizer on a field to get it ready for planting. The directions say to use 4/5 of a quart of fertilizer for each acre of land. Alan has two fields, one that is 22 1/2 and one that is 38 1/4. How much total fertilizer will Alan need for his two fields?
If 3 is added to three quarters of certain number,the result is 30.Find the original number If 3 is added to three quarters of a certain number, the result is 30. Find the original number
Answer:
[tex]x=36[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]3+\frac{3}{4}x=30[/tex]
Therefore
Making x subject
[tex]x=\frac{4}{3}(30-3)[/tex]
[tex]x=\frac{4}{3}(27)[/tex]
[tex]x=36[/tex]
What is the product of 7x-4 and 8x+5?
Answer:
15x+1
have a nice day
Answer:
5x+1 is the answer for your question
What is the slope of this equation? Y=1/3x+4
Answer:
slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 4 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
write the expression in expanded form
3h^3(k+3)^2
Answer:
3h³k² + 18h³k + 27h³
Step-by-step explanation:
Given
3h³(k + 3)² ← expand factor using FOIL
= 3h³(k² + 6k + 9) ← distribute parenthesis
= 3h³k² + 18h³k + 27h³
Can anyone help me on this I would appreciate it
Answer:
14
Step-by-step explanation:
Triangle=180
180-90 (RA) = 90
90-41= 39
(2x+11)=39
2x=28
x=14
CAN SOMEONE HELPPPPPP PLEASE?!??!!!!?
Evan wants to make an array of 32 miniature cars. What are all the different ways Evan can place the cars?
Answer:
6
Step-by-step explanation:
An array will have would constitute the shape of a parallelogram, in which you are essentially solving for s₁ and s₂. Note that there are 32 miniature cars in all, in which both sides, when multiplied, must result in said number:
32 x 1 = 32
2 x 16 = 32
4 x 8 = 32
8 x 4 = 32
16 x 2 = 32
1 x 32 = 32
There are 6 ways for Evan to create a array of 32 miniature cars.
~
Select ALL the functions whose graphs include the point (16, 4).
Answer:
D
Step-by-step explanation:
x=16
y=4
4=16-12
4=4
Answer:
D
Step-by-step explanation:
The area of a flower garden is 60m2. One third of it was used for growing roses and the remaining area was divided into two equal parts. Find the area of each remaining part?
Given:
The area of a flower garden is 60 m².
One third of it was used for growing roses and the remaining area was divided into two equal parts.
To find:
The area of each remaining part.
Solution:
It is given that the area of a flower garden is 60 m² and one third of it was used for growing roses. So, the remaining part is:
[tex]\text{Remaining}=60-\dfrac{1}{3}\times 60[/tex]
[tex]\text{Remaining}=60-20[/tex]
[tex]\text{Remaining}=40[/tex]
The remaining area was divided into two equal parts. So, the area of each remaining part is:
[tex]\text{Area of each remaining part}=\dfrac{40}{2}[/tex]
[tex]\text{Area of each remaining part}=20[/tex]
Therefore, the area of each remaining part is 20 m².
pq(r²-1)-r(p²+q²) factorize
Answer:
pqr2-pq-p2r-rq2 is the answer
Answer:
Step-by-step explanation:
pq(r^2 - 1) - r(p^2 + q^2)
multiply the brackets
=pq*r^2 - pq*1 - r*p^2 - r*q^2
=pqr^2 - pq - rp^2 - rq^2
=pqr^2 -rp^2 -rq^2 -pq
Fast Rental Services and Red Rent Services provide rental cars. Fast Rental Services charges a flat fee of $4.50, plus $0.75 for every mile traveled. On the other hand, Red Rent Services charges a flat fee of $7.50, plus $0.65 for every mile traveled. Which equation could be used to find the distance, d, when the cost of renting the cars from both the companies are the same?
Answer:
4.50+.75d=7.50+.65d
Step-by-step explanation:
Y=4.50+.75d equation 1
y=7.50+.65d equation 2
4.50+.75d=7.50+.65d sub value of y in equation 2 into equation 1
.10d=3.00 simplify equation
d=30
check answer by subbing 30 for d into each equation.
y=4.50+.75(30)
y=4.50+22.50
y=27
y=7.50+.65(30)
y=7.50+19.50
y=27
both equations equal so 30 is the correct distance for when Fast Rental equals Red Rent
Two boys and 3 girls were selected for the finals of a dance contést. One of the three different prizes marked A. B and C will be randomly awarded to the 5 contestants whose name is selected to win. Find the probability that the boy will win the prize marked B?
Answer:
2 boys and 3 girls were selected for the finals.
There are 3 prizes, A, B, and C (assigned in order, I suppose) assigned randomly to the five contestants.
We want to find the probability that a boy wins the prize B.
So here we have two cases:
A girl wins the first prize, A, and a boy the prize B.
The probability that a girl wins the prize A is equal to the quotient between the number of girls and the total number of contestants, this is:
p = 3/5
Next, the probability that a boy wins the prize B, is equal to the quotient between the number of boys and the total number of contestants (that now is 4, because a girl already won prize A).
q = 2/4
The joint probability is:
P = p*q = (3/5)*(2/4) = 6/20 = 3/10
Now we have the other case, where a boy wins the prize A and the other boy wins prize B.
The probability that a boy wins prize A is equal to the quotient between the number of boys and the total number of contestants, this is:
p = 2/5
The probability that the other boy wins prize B is equal to the quotient between the remaining number of boys (1) and the total number of contestants (now 4), this is:
q = 1/4
The joint probability is:
P' = p*q = (2/5)*(1/4) = 2/20 = 1/10
The total probability is the sum of the probabilities for the two cases, this is:
Probability = 1/10 + 3/10 = 4/10
(note that because the prize C is assigned after prize B, its existence does not affect the probability for the previous event, as expected)
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Delete this answer, I was solving for area
Answer:
v= 100
Step-by-step explanation:
V=a2h/3
v= 15*(20/3)
v= 15*6.6
v=100
¿Cuál es la expresión algebraica que representa el área sombreada en la siguiente figura?
Which equation represents "the sum of eight times a number and seven is twice the number"?
8N + 7 = 2N
8N = 7 + 2N
8 (7 + 2N)
7N + 8 = 2N
Find an equation for the perpendicular bisector of the line segment whose endpoints are
(−1,−7) and (5,−3).
Answer:
y = -2/3x - 11/3
Step-by-step explanation:
Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y intercept at 0,3
Answer:
Line AB
Step-by-step explanation:
The line is on crosses thru the exact points so its right.
If it takes a student 1 month to read 3 books, how many months will it take them to read 24 books?
Answer:
8 Months to read 24 Books
Answer:
240
Step-by-step explanation:
PLS ANSWER ASAP DUE 9:35
Answer:
c) 72
hope this helps!
please give brainiest<3
Answer:
72
Step-by-step explanation:
Substitution:
4^3 + 4 x 6 - 16
64+24-16=72
4
7
of students at a school are boys. If there are 2184 students at the school, how many are girls?
Answer:
936 girls at the school
Step-by-step explanation:
4/7 of 2184 = 1248
2184-1248 = 936
Happy learning! Please mark brainliest!
--Applepi101
Directions: Solve for x. Round your answer to the nearest tenth. Make sure you calculator
is in degree mode!
11
35
Answer:
its 10 because chu papi munenu
The sum of to try no meals is 6X^2- 5X +4. If one of the Try no meals is 6X^2+3X -2, then what is the other trinomial try no meals
Answer:
2x+6
Step-by-step explanation:
answer is in the photo above
a prop for a school musical is cut from a sheet of cardboard. the shape is shown in the picture, what is the area of the shape?
Answer:
32
Step-by-step explanation:
area of rectangle: 6*4=24
area of top triangle: 4*2=8
24+8=32 total area
Which of the following equations could be used to find the value of 3,550 ÷ 25?
A. (3,000 + 500 + 50) ÷ 25 = 140
B. (550 + 20) ÷ (3,000 + 5) = 140
C. (3,000 + 500 + 50) ÷ 25 = 142
D. (300 + 50 + 5) ÷ 25 = 142
E. (3,000 ÷ 25) + (550 ÷ 25) = 142
F. (550 ÷ 20) + (3,000 ÷ 5) = 140
Answer:
A is correct answer
Step-by-step explanation:
[tex](3000 + 500 + 50) \div 25 \\ [/tex]
[tex](3550) \div 25[/tex]
[tex] = = > 3550 \div 25[/tex]
Thanks
Don't forget to tell the name of your country.
Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b?
How can Victoria justify Step 3 of her work?
Answer:
ans: x= 1/(a-b)
Step-by-step explanation:
given equation is
ax = bx + 1
to isolate x , take bx to left side
or,
subtract bx on both sides , I.e
ax - bx = 1
x( a- b) = 1
x = 1/(a- b)
A bag contains 5 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?
Answer:
.094
Step-by-step explanation:
5/11 is .455
11 total marbles 5 are green
but thats the probability of just one draw
so .455 x .455 x .455 is .094 for three separate draws
What number is 16% of y?
Answer:
0.16y
Step-by-step explanation:
16% of y is found by substituting 0.16 for 16% and then multiplying y by 0.16:
0.16y
How many solutions exist for the system of equations below?
Answer:
No solution or none
Step-by-step explanation:
3x+y=18 equation 1
3x+y=16 equation 2
-3x-y=-18 multiply equation 1 by -1
0=-2 add above 2 equations
no solution or none
