Answer:
Min: 1 Max: 23 Q1: 9 Q2: 13 Q3: 19.5
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 30 feet and a height of 16 feet. Container B has a diameter of 22 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full. To the nearest tenth, what is the percent of Container A that is full after the pumping is complete?
Answer:
32.8%
Step-by-step explanation:
Container A:
Diameter = 30 feet
Radius = diameter/2 = 30/2
= 15 feet
Height = 16 feet
Volume of a cylinder = πr²h
= 3.14 * 15² * 16
= 3.14 * 225 * 16
= 11,304 feet ³
Container B:
Diameter = 22 feet
Radius = diameter / 2
= 22/2 = 11 feet
Height = 20 feet
Volume of a cylinder = πr²h
= 3.14 * 11² * 20
= 3.14 * 121 * 20
= 7598.8 feet ³
what is the percent of Container A that is full after the pumping is complete?
Container A - container B
= 11,304 feet ³ - 7598.8 feet ³
= 3,705.2 feet ³
percent of Container A that is full after the pumping is complete = 3,705.2/11,304 × 100
= 0.328 × 100
= 32.8%
percent of Container A that is full after the pumping is complete = 32.8%
Find the area of the circle. Round to the nearest hundredth.
Answer:
10?
Step-by-step explanation:
Esther uses 9.4 pints of blue paint and white paint to paint her bedroom walls. 3 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:
3.76
Step-by-step explanation:
Esther uses 9.4 pints of blur paint and white pant for her bedroom
3/5 of this amount is blue paint while the rest is white paint
3/5
= 0.6×100
= 60
Therefore the amount of white paint can be calculated as follows
40/100 × 9.4
= 0.4×9.4
= 3.76
What is the volume of each figure? (Please write the formula and answer)
Answer:
1. (top left corner) = 8km^3
2. (bottom left corner) = 243 in^3
3. (top right corner) = 200 cm^3
4. (bottom right corner) = 3165.12 m^3
Step-by-step explanation:
1. (top left corner) lwh = 4km x 2km x 1km = 8km^3
2. (bottom left corner) (lwh)/3 = (9 x 9 x 8) / 3 = 243 in^3
3. (top right corner) lwh = 5 x 5 x 8 = 200 cm^3
4. (bottom right corner) πr^2h
R = 12
3.14 x 12^2 x 7 = 3.14 x 144 x 7 = 3165.12 m^3
Find the GCF of the group of monomials
9a^2b^3 and 15ab^2 and 21a^4b^3
Answer:
3ab^2
Step-by-step explanation:
The GCF of 9, 15, and 21 is 3.
The GCF of a^2b^3, ab^2, and a^4b^3 is ab^2.
The answer is the product of the two terms which is 3ab^2.
Find the total amount owed, to the nearest cent, for a simple interest loan with a principal of $2950, an interest rate of 7.4% and a time period of 1.5 years. Show your work.
Answer:
Total Accrued Amount = $3,277.45
Interest Amount = $327.45
Step-by-step explanation:
A = $3,277.45
I = A - P = $327.45
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 7.4%/100 = 0.074 per year.
Solving our equation:
A = 2950(1 + (0.074 × 1.5)) = 3277.45
A = $3,277.45
The total amount accrued, principal plus interest, from simple interest on a principal of $2,950.00 at a rate of 7.4% per year for 1.5 years is $3,277.45.
Answer:
Total amount: $3,277.45
Interest: $327.45
Total: 2,950(1 + (0.074 x 1.5)) = 3,277.45
Interest: 3,277.45 - 2,950 = 327.45
Step-by-step explanation:
What is the surface area of this triangular pyramid the height is 4 the base and width is 4 and the bottom back line is 4 and the base height is 3.5 yd.
Answer:
37 yd²
Step-by-step explanation:
The computation of the surface area of this triangular pyramid is shown below:
The surface area of this triangular pyramid is
But before that
Lateral area = 3(1 ÷ 2) × base × height
= (3 ÷ 2)(4 yd)(5 yd)
= 30 yd²
Now
base area = 1 ÷ 2 × base × height
= 1 ÷ 2(4 yd)(3.5 yd)
= 7 yd²
Now the total surface area is
surface area = lateral area + base area
= 30 yd² + 7 yd²
= 37 yd²
Find the surface area of the right cone. Round your answer to the nearest hundredth.
The solution is, the surface area of the right cone is 602 cm^2.
What is surface area of a cone?The surface area of a cone is equal to the curved surface area plus the area of the base: π r 2 + π L r , \pi r^2 + \pi L r, πr2+πLr,
where r denotes the radius of the base of the cone, and L denotes the slant height of the cone.
here, we have,
Given that,
The slant height of the cone, l = 16 cm
The radius of the cone, r = 8 cm
The height of the cone is :
h² = l² - r²
or, h² = 16² - 8²
= 192
or, h = √192
= 13.85
now, we know that,
The surface area of the cone is given by :
SA = πr² + πrl
=200.96 + 401.92
= 601.93
=602
Hence, the surface area of the right cone is 602 cm^2.
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Pls help I have this homework !! bye I will mark you the best or brainliest!!
Answer:
90-54w
Step-by-step explanation:
18(5−3w)=
18*5=90 , 18*3w= 54w =
so simplified it would be = (90-54w)
Please mark me as brainliest :D
If y varies jointly as x and z and y = 4 when x = 2 and z = 3, what is y when x = -6 and z = 2?
Answer:
Step-by-step explanation:
Y = kxz
Putting values of y x and z in the equation
4 = k(2)(3)
4 = k6
2/3 = k
Now finding y when x = - 6 and z = 2
Y = kxz
= 2/3(-6)(2)
= - 8
PLZ HELP DUE TODAY THE ANSWER CHOICES ARE
A.315
B.84
C.273
D.231
No links I will report forgot to put the picture last time plzzz
Help me pleaseeeeeeee
Answer:
10
Step-by-step explanation:
.........................
Answer:
girl- frost on window and... thats not math but kk
Step-by-step explanation:
dew on grass because condensation is water vapor
Target is having a 30% off sale on all bikes. What is the sale price of a bike that regularly costs $285?
Answer:
199.50
Step-by-step explanation:
285×(1-0.30)=199.50
The x-coordinate of the vertex of the function y=-x²+bx+3 is 10. Determine the y-coordinate of the vertex.
Answer:
103Step-by-step explanation:
Given function:
y = -x² + bx + 3The x-coordinate of a quadratic function y = ax² + bx + c is determined by:
x = -b/2aThe given function has:
x = 10, and a = -1Find the value of b:
10 = -b / -2b = 20The function is:
y = -x² + 20x + 3The y-coordinate of the vertex is:
y = -(10²) + 20*10 + 3 = -100 + 200 + 3 = 103Answer:
Solution given:
y = -x² + bx + 3
we have
The x-coordinate of a quadratic function y = ax² + bx + c is determined by:
x = [tex] \frac{ - b}{2a} [/tex]
we have
x = 10, and a = -1
Substituting value of a in -b/2a
we get
b = 20
now
The y-coordinate of the vertex is:
y = -(10²) +20*10+ 3 = -100 + 200 + 3 = 103 is your answer.
im totally NOT giving away points and this totally IS a real question so pls help (jkjk)
Answer:
Super Hyper Ultra Ultimate Deluxe Perfect Amazing Shining God 東方不敗 Master Ginga Victory Strong Cute Beautiful Galaxy Baby 無限 無敵 無双 senchou here, thank you for the points :D
Step-by-step explanation:
solve this hard math tyy x3+b7*7=2
Answer:
hey baby, i pray to god every night for my smoking hot wife. ily
Step-by-step explanation:
- 16 – - 22,what is the difference
Answer is 6.
Explaination:
When subtracting a negative number, the number becomes positive and the minus sign to a plus sign.
You roll a 6-sided die.
What is P(factor of 15)?
Write your answer as a percentage.
Answer:
50%
Step-by-step explanation:
What is the percentage of change from $7.50 to $9.00
PLS HELP KK
What is the Surface Area Formula for a Rectangular Prism with a 8 length, 7 width and 4 height
1. SA= 2(8+7) + 2(7+4) + 2(8+4)
2. SA= 2(8+8) + 2(7+7) + 2(4+4)
3. SA= 2(8x7) + 2(7x4) + 2(8x4)
4. SA= 2(8x8) + 2(7x7) + 2(4x4)
no absurd answers, ty.
Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and chair.
(a) How many ways can this be done, if the order of the choices is relevant?
?
(b) How many ways can this be done, if the order of the choices is not relevant?
Answer:24 , 4
Step-by-step explanation:
Given
There are 4 objects
(a)When the order is relevant
We use permutation to get the no of ways, that is
Choosing 3 objects out of 4
[tex]^4P_3=\dfrac{4!}{(4-3)!}=\dfrac{4!}{1!}\\^4P_3=24[/tex]
(b) When the order is not important, the same thing can be done in
[tex]^4C_3\ \text{ways}\\\\\Rightarrow \dfrac{4!}{1!3!}=4\ \text{ways}[/tex]
The graph of f(x) = -2^2 was transformed to create g(x) = -(x+3)^2. Which of these describes the transformation from the graph of f to the graph of g
a bakery reduced the price of their cakes from $35 to $28 each
Answer:its actually 20%
Step-by-step explanation:
I looked it up
PLease answer ill give brainlest
Answer:
12
Step-by-step explanation:
1.5 cups a person
1.5 x 8 is 12
At the fast food restaurant, one hamburger and five small fries cost $8.74. If two hamburgers and
three small fries cost $7.75, what is the cost of one hamburger?
A rectangular tank with length 50 cm and width 30 cm contains 36 litres of water. Find the depth of the water.
Answer:
24cm
Step-by-step explanation:
Given data
Length=50cm
Width= 30cm
Volume = 36liters
=36000cm^3
We know that the expression for volume is
V= L*W*H
substitute
36000=50*30*H
36000= 1500*H
H= 36000/1500
H= 24cm
Hence the height is 24cm
Sam is a cashier at the local grocery store. He earns $8/hr and works there 10 hours per
week. Every week, he puts 75% of his money in a savings account so he can reach his goal
of having $1,000 as an emergency fund. School is starting in a few weeks and he wants to
buy some new supplies including a backpack, pens and notebooks, and more. He
estimates the total will be about $75.
T
Answer:
A. $80
B. $60
C. 4 Weeks
D. Sam might have to work more at his work or possibly lower the amount of money he needs to save.
Step-by-step explanation:
Hope this Helps!!
The number of weeks taken by Sam to save enough money is 17 weeks.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
a) Money Sam earns in one week = Money paid per hour * Number of hours per week
= 8×10
= $80
b) Money saved every week is
75% of 80
= 75/100 ×80
= 0.75×80
= $60
c) He can reach his goal of having $1,000 as an emergency fund.
Let the number of weeks taken by Sam to save enough money be x.
Now, 60x=1000
x=1000/60
x=17 weeks
d) School is starting in a few weeks and he wants to buy some new supplies including a backpack, pens and notebooks, and more.
He estimates the total will be about $75.
So, Sam has to work one week extra to purchase his needs for school.
Therefore, the number of weeks taken by Sam to save enough money is 17 weeks.
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URGENT! BRAINLIEST ANSWER!
Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning.
Answer: Yes, they are similar
Step-by-step explanation:
Angle A is congruent to angle D
Angle B is congruent to angle E
Angle C is congruent to angle F
Therefore, the triangles are similar by the AAA (angle-angle-angle) similarity theorem.
A doctor has an annual income of $152,125. The income tax that doctor has to pay is 6%. What is the amount of income tax in dollars and cents that the doctor has to pay?
9514 1404 393
Answer:
$9,127.50
Step-by-step explanation:
6% of $152,125 is ...
0.06 × $152,125 = $9,127.50
The doctor has to pay $9,127.50 in income tax.
