Answer:
a) 167 cups
b) 4 packages
Step-by-step explanation:
Given:
Diameter, d = 8cm
Height, h = 11 cm
10 gallon container
Since 1 gallon = 3085cm, 10 gallons will be:
= 10 * 3085 = 30850 cm
a) Consider that the shape of the cup is a cone. To determine how many paper cups are needed to empty the entire 10 gallon cooler, let's first find the volume of the cone.
Formula for volume of a cone:
[tex] V = \frac{1}{3} \pi r^2 h[/tex]
We know radius, r = d/2 = 8/2 = 4cm
Substituting figures in the formula, we have:
[tex] V = \frac{1}{3} \pi 4^2*11[/tex]
V = 184.31 cm³
The number of paper cups are needed to empty the entire 10 gallon cooler would be:
[tex] = \frac{30850}{184.31} = 167.38 cups [/tex]
Approximately 167 cups
b) if the cups are sold in packages of 50, the number of packages to be bought will be:
[tex] = \frac{167}{50} = 3.34 [/tex]
Which is approximately 4 packages
Johnny has a jar of marbles with the following number of colored marbles in it.
If Johnny randomly pulls out a marble from the jar, what is the is the probability that he will pull out a red marble?
A. 1/4
B.1/5
C.1/3
D.1/6
Of the last 12 contestants on a game show, 9 qualified for the next round.
What is the experimental probability that the next contestant will qualify for the next round?
Answer:
0.75
Step-by-step explanation:
Given:
Of the last 12 contestants on a game show, 9 qualified for the next round.
To find:
The experimental probability that the next contestant will qualify for the next round.
Solution:
Probability refers to the chances of occurrence of some event.
Probability = Number of favourable outcomes/Total number of outcomes
Number of contestants who qualify for the next round = 9
Total number of contestants = 12
So,
The experimental probability that the next contestant will qualify for the next round = [tex]\frac{9}{12}=\frac{3}{4}=0.75[/tex]
what is the fraction, 64/388 simplified?
Answer:
the answer is 16/97
If you spend $448.37 on a car each month, what is your new subtotal of take-home pay after expenses?
Answer:
$629.75
Step-by-step explanation:
2,939.12 (Monthly net pay) - 1379 (Mortgage) - 302 (Food) - 448.37 (Car) - 230 (Gas) = 629.75 (Subtotal)
I am thinking of two unique whole numbers
Their sum is 12
The larger number is even
Twice the smaller number less than the larger number equals 6
Answer:
10 and 2
Step-by-step explanation:
10+2=12
10 is even
2*2=4 10-4+6
Hope this helps ! :)
Graph x^3 + 3x^2 − x − 3 = 0. What are the solutions to the equation?
x = −3, x = 0, and x = 1
x = −3, x = −1, and x = 0
x = −3, x = −1, and x = 1
x = −1, x = 1, and x = 3
Answer:
x = −1, x = 1, and x = - 3
Step-by-step explanation:
hello :
if : x=1 1^3 + 3×1^2 − 1 − 3 =1+3-1-3 =4-4=0......true
if : x=-1 (-1)^3 + 3×(-1)^2 +1− 3 =-1+3.+1-3.=0...true
if : x=3 (-3)^3 + 3×(-3)^2 + 3 − 3 =-27+27+3-3.=0.....true
Find the cosecant of angle t (written as a fraction)
Answer:~0.9998
Step-by-step explanation: cos T = side adj. to angle t / the hypotenuse
Cos t = 56/65 ~ 0.998
You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?
Answer:
496000$
Step-by-step explanation:
A cylindrical-shaped mug has a diameter of 8 centimeters and a height of 10 centimeters. What is the volume of the mug? Use 3.14 for pi. *
A. 1256 cubic centimeters
B. 502.4 cubic centimeters
C. 2512 cubic centimeters
D. 2009.6 cubic centimeters
Answer:
C. 2512
Step-by-step explanation:
First,you do
3.14 x 10 x 8
25 12 cubic centimeters
By using the formula for the volume of a cylinder, we will see that the volume of the mug is 502.4 cm^3
How to get the volume of the mug?For a cylinder of radius R and height H, the volume is:
V = pi*R^2*H
In this case, we know that H = 10cm, and the diameter is 8cm, then the radius is half of that:
R = 8cm/2 = 4cm
Replacing that in the volume equation we get:
V = 3.14*(4cm)^2*10cm = 502.4 cm^3
So the correct option is B.
If you want to learn more about volume, you can read:
https://brainly.com/question/1972490
Allie. Bentie and Charlie share £46.
The amount Alfie and Bertie get is in the ratio 9:5
The amount Bertie and Charlie get is in the ratio 2:1
How much does Alfie get?
can you please help me fill this out thanks
Answer:
30 mm
Step-by-step explanation:
There are 4 sides to this parallelogram. Two of the sides have 3 mm as the length and the other two have 12 mm.
2 (3 mm) + 2 (12 mm)
= 6 mm + 24 mm
= 30 mm
Answer:
30
Step-by-step explanation:
Since the long side that is blank is the same length of 12 and the short side is the same length of 3.
12+12=24
3+3=6
24+6=30
What is the slope of the line?
Answer:
It is the change in y for a unit change in x along the line.
Kari estimated the quotient of Negative 12 and one-fifth divided by 4 and two-fifths to be –8. Which best describes her error? Kari multiplied the compatible numbers –12 and 4. Kari found that the quotient of a negative number and a positive number is negative. Kari found that the quotient of a positive number and a negative number is positive. Kari added the compatible numbers –12 and 4.
Answer:
D. Kari added the compatible numbers –12 and 4.
Step-by-step explanation:
Our numbers are [tex]-12\frac{1}{5}[/tex] and [tex]4\frac{2}{5}[/tex]. We want to find Kari's error. Let's look through the answer choices and try them out:
A: "Kari multiplied the compatible numbers –12 and 4"
Well, if we multiply -12 by 4, we get -48, which is very different from -8, so A cannot be right.
B: "Kari found that the quotient of a negative number and a positive number is negative"
This is actually a true statement because whenever we multiply or divide a positive number and a negative number, the result is always negative. So, this isn't an error. B is wrong.
C: "Kari found that the quotient of a positive number and a negative number is positive"
If B is a true statement, C must be false - and that's right: it is false because the quotient of a positive number and a negative number is always negative not positive. Eliminate C.
D: "Kari added the compatible numbers –12 and 4"
What do we get if we add -12 and 4? We get: -12 + 4 = -8, which is exactly the number that Kari got. So instead of dividing, Kari accidentally added and got -8, which is the wrong answer. Thus, D is correct.
Answer:
Last one
Kari added the compatible numbers –12 and 4.
Step-by-step explanation:
-12⅕ ÷ 4⅖
-61/5 ÷ 22/5
-61/5 × 5/22
-61/22
She probably got -8 by adding -12 and 4
The sum of a number and 12, divided by 4, is -7
Answer:
-40
Step-by-step explanation:
Work backwards
4 * -7 = -28
-28 - 12 = -40
can you please help me fill this out thanks
Answer:
i believe the perimeter is 36 im sorry if its not correct
Step-by-step explanation:
simple adding
What is the least common denominator of 2/3 and 7/9
Answer:
9
Step-by-step explanation:
2/3 = 2/3 × 3/3 = 6/9
7/9 = 7/9 × 1/1 = 7/9
AEFG - ALMN. Find LM.
Answer:
The solution is 2.5. The problem can be solved using the proportion:
2
4
=
x
5
Step-by-step explanation:
I hope it makes since =)
. A professora colocou em uma urna 25 bolinhas vermelhas, 15 bolinhas azuis e 10 bolinhas amarelas, todas do mesmo tamanho. Ela solicita a um aluno que retire uma bolinha sem olhar. Qual a probabilidade do aluno retirar uma bolinha azul? * 10 pontos (a) 25/50 (b) 15/50 (c) 10/50 (d) 45/50
Answer:
(b) 15/50
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
There are 25+15+10 = 50 small balls.
Of those, 15 are blue.
Probability of taking a blue ball:
15/50
This means that (b) is the correct answer.
what is two-thirds of 3 and3/4
Answer:
2.5
Step-by-step explanation:
2/3 *(3+3/4)=2.5
Answer:
[tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2}[/tex] or 2.5
Step-by-step explanation:
[tex]\frac{2}{3}*3\frac{3}{4}[/tex]
Convert [tex]3\frac{3}{4}[/tex] to an improper fraction. You can do this by multiplying the whole number by the denominator and add the numerator; all of this over the same denominator.
[tex]3\frac{3}{4}=\frac{3*4+3}{4} =\frac{12+3}{4} =\frac{15}{4}[/tex]
Now work it out.
[tex]\frac{2}{3}*\frac{15}{4}=\frac{30}{12}=\frac{15}{6}=\frac{5}{2}[/tex]
In case you need a mixed number as the answer, we can convert from improper fraction to mixed number.
5/2=2
4
----
1
the 2 after the equal sign is the big number, the 1 is the numerator and the 2 before the equal sign in the denominator.
[tex]2\frac{1}{2}[/tex]
Round cake has a diameter of 30 cm . Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake . What's the circumference
Answer:
circumference of the cake board = 109.9 cm
Step-by-step explanation:
diameter of cake = 30cm
diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm
radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm
radius of cake board = 17.5 cm
circumference of a circle = 2 × π × r (where π = 3.14)
circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm
Therefore the circumference of the cake board = 109.9 cm
Answer:
35pi
Step-by-step explanation:
brainliest maybe?
What’s the value of x?
Answer:
19
Step-by-step explanation:
In any triangle, the sum of the measures of the angles is 180 degrees.
(5x + 5) + (x + 16) + (2x + 7) = 180
Combine like terms.
8x + 28 = 180
8x = 152
x = 19
Which ratio is equivalent to 7:3 =
Answer:
i think 14:6 is correct but im not too sure
Answer:
[tex]\frac{7}{3}=\frac{7n}{3n}[/tex]
n ∈ Z
[tex]\frac{7*(-5)}{3*(-5)}=\frac{7*(-2)}{3*(-2)}=...=\frac{7*8}{3*8}=...=\frac{7*1256}{3*1256}...etc[/tex]
Oblicz objętość graniastosłupa o wymiarach podanych na rysunku
Answer:
In the image attached you can observe that we have three prism, we need to find their volumes. Remember, the volume of any prism is the product between its base-area and its height.
(a)This is a trapezoidal prism, which is defined as
[tex]V_{a}=\frac{(B+b)h_{1} }{2} \times h_{2} \\ V_{a}=\frac{(12+9)4}{2} \times 16\\ V_{a}=42 \times 16 = 672 \ cm^{3}[/tex]
(b)This is a triangular prism, which is defined as
[tex]V_{b}=\frac{1}{2} b \times h_{1} \times h_{2}\\ V_{b}= \frac{1}{2} \times 36 \times 25 \times 53\\ V_{b}=23,850 \ cm^{3}[/tex]
(c)In this prism, 6 decimeters are equivalent to 60 centimeters. It's volume is defined as
[tex]V=\frac{1}{2} \times 48 \times 60 \times 80 = 115, 200 \ cm^{3}[/tex]
Write an equation for the following:
A number increased by 6 is 22.
Solve your equation (show steps) to find the number.
Answer:
16
Step-by-step explanation:
Please help, I’m so desperate for this answer. I’ve been here for two hours and no one wants to help :/ (find x)
Answer
i can't see the image can you post it again.
Step-by-step explanation:
Answer:
29 + 64 =x which is 93 for question 2
Step-by-step explanation:
evaluate the following function is f(x)=3x-2 and g(x)=5x+1 what is -2•f(4)+3•g(1)
Answer:
work is shown and pictured
Calculate:
400 x 3235 =
You must show full working out.
Answer:
1294000
Step-by-step explanation:
There are two ways to do this: The short way and the long way:
It’s delta math for it
Answer:
[tex]\sqrt{x^{2}-7[/tex]
Step-by-step explanation:
Negative exponents flip the fraction, fraction exponents imply a radical to the denominator's degree, so flip the fraction and take the square root of what is in parentheses
We know that :
[tex]\bigstar \ \ \boxed{\mathsf{a^{-1} = \dfrac{1}{a}}}[/tex]
[tex]\mathsf{Given \ question \ is : \dfrac{1}{(x^2 - 7)^{\frac{-1}{2}}}}[/tex]
Using the above formula, we can write it as :
[tex]\implies \mathsf{\dfrac{1}{\dfrac{1}{(x^2 - 7)^{\frac{1}{2}}}}}[/tex]
[tex]\implies \mathsf{(x^2 - 7)^{\frac{1}{2}}}[/tex]
[tex]\implies \mathsf{\sqrt{x^2 - 7}}[/tex]
Give the sum of 1/2 and 8/12 in simplest form
Answer:
7/6
Step-by-step explanation:
sum of 1/2 & 8/12 = 1/2 + 8/12
= 7/6
hope this help you !! ;))))i need help can some please answer this 2 2/3+1 1/2
Answer:
25/6 or 4 1/6
Step-by-step explanation:
1) convert these fractions to improper fractions first:
8/3+3/2
make like denominators by multiplying 8/3 by 2 and 3/2 by 3
so 8*2/3*2=16/6
3*3/2*3=9/6
16/6+9/6=25/6
Hope this helps!
Answer: 25/6 or 4.16
Step-by-step explanation:
