Answer:
Step-by-step explanation:
given that diameter of the pipe = 14 inches
radius = 7 inches
Length =2156 inches
Pipe is in the form of a cylinder
Volume of cylinder = pi r^2 h
where r = radius and h = l = 2156
We have to substitute the values of r and h.
Let us take pi as 22/7
= 22/7 (7)(7)(2156)
Cancel out 7 and multiply the remaining 22 ,7 and 2156
=332024 cubic inches
The odds against Carl beating his friend in a round of golf are 9:7. Find the probability that Carl will lose?
The ratio 9:7 gives you following statement:
Carl will win in 9 cases from 9+7=16; Carl will lose in 7 cases from 16.Then the probability that Carl will lose is
[tex]Pr(\text{Carl will lose})=\dfrac{7}{16}.[/tex]
Answer: [tex]Pr(\text{Carl will lose})=\dfrac{7}{16}.[/tex]
What is 119.63 rounded to the nearest whole number ?
120 is the answer, I may be wrong.
Write an expression that represents the amount of hydrochloric acid in x gallons of a 3% hydrochloric acid solution.
a birthday party is being fun for 20 people at an arcade it cost $5 a person to provide food for everyone and each game cost $1 per play. assume that each person at the party plays the same number of games,x
First, let's calculate the total cost for food. We know that we have 20 people to feed, and it costs $5 to provide food for each person. Therefore, we multiply the number of people by the cost per person to get the total cost for food. That would be:
20 people * $5/person = $100
So, the total cost for food is $100.
Next, let's calculate the total cost for the games. We're assuming that each person is playing x number of games, and that each game costs $1 to play. Therefore, we multiply the number of people by the cost per game and the number of games each person plays to find the total cost for games:
20 people * $1/game * x games = $20x
So, the total cost for the games depends on the number of games that each person plays.
If we want to find out the total cost of the party, we need to add the total cost for food and the total cost for games. This can be represented as:
$100 + $20x
This means the total cost of the party will be $100 plus $20 times the number of games each person plays. The exact total cost will depend on the value of x, i.e., the number of games each person plays.
Which equation correctly applies the associative property of multiplication
The second answer is correct since the associative property has the do with how you use parenthesis.
pls help will give brainliest
Answer:
4.)60
5.)about 13
6.)58
Step-by-step explanation:
The length of a side of a square is represented by 4x-1 . Express the perimeter of the square in terms of x.
The perimeter of a shape is the sum of all it sides.
The perimeter of the square is [tex]16x - 4[/tex]
Given that:
[tex]Length = 4x - 1[/tex]
The perimeter (P) of the square is:
[tex]P = 4 \times Length[/tex]
So, we have:
[tex]P = 4 \times (4x -1)[/tex]
Open brackets
[tex]P = 16x - 4[/tex]
Hence, the perimeter of the square is 16x - 4
See attachment for the image of the square
Read more about perimeters at:
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how would numbers -20,0 and 30 appear on a number line
Number line showing -20,0, 30 in attachment below.
How do you find the domain for 7
h(x) = -5x² + 15x - 3
It's a quadratic function. The domain of quadratic function is the set of all real numbers.
Therefore
[tex]D=\mathbb{R}[/tex]-all real numbers.
2/5(15p-20)= -8p-3(p-6)
p = [tex]\frac{26}{17}[/tex]
distribute the parenthesis on both sides of the equation.
6p - 8 = - 8p - 3p + 18
6p - 8 = - 11p + 18 ( add 11p to both sides )
17p - 8 = 18 ( add 8 to both sides )
17p = 26 ( divide both sides by 17 )
p = [tex]\frac{26}{17}[/tex]
Solve for x: 3x - 24 = 81
A-57/3
B-105/3
C-57
D-105
Helpppp please
[tex]Solution,solve\:for\:x,\:3x-24=81\quad :\quad x=35[/tex]
[tex]Steps: 3x-24=81[/tex]
[tex]\mathrm{Add\:}24\mathrm{\:to\:both\:sides}, 3x-24+24=81+24[/tex]
[tex]\mathrm{Simplify}, 3x=105[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}3, \frac{3x}{3}=\frac{105}{3}[/tex]
[tex]Simplify, x=35[/tex]
The correct answer is B. 105/3
Hope this helps!!!
<3 - austint1414
Sandy has $200 in her bank account if she writes 6 checks for exactly $19.98, what expression describes the change in her bank account ? And also what is her balance after the checks are cashed.
Answer:
200 - (19.98 * 6) = x
Explanation:
200 - (19.98 * 6) = x
Solve Parentheses
200 - 119.88 = x
Subtract
80.12 = x
Switch so x comes first
x = 80.12
Help and I'll label you the brainest and a thank you
How many fractions are there between any two numbers on a number line?
A.5
B.20
C.100
D.an infinite number
The answer would be D: an infinite number, because you can put as far as numbers can go, which is infinite.
Answer:
There are an infinite number of fractions in between numbers on a number line.
Step-by-step explanation:
The reason for this is because we have an infinite number of denominators to use. Therefore, we can not number the amount we use.
Simplify.
(4^3)^5
A) 4^-2
B) 4^3
C) 4^8
D) 4^15
There are 7 more girls then boys in a club there are 23 members in the club in all how many girls are there in the club? Which expression represents the number of boys
There would be 16 girls in the club. You should use the expression: 23(total people in the club)-7(total boys in the club)=?,so 23-7=16.
Final answer:
To find the number of girls in a club where there are 7 more girls than boys and 23 members in total, we solve the equation 2b + 7 = 23 to determine that there are 8 boys and thus 15 girls.
Explanation:
If there are 7 more girls than boys in a club and there are 23 members in total, let's call the number of boys b. Then the number of girls would be b + 7. Given that the total number of members is 23, we can set up the equation b + (b + 7) = 23 to find the number of boys. Solving the equation:
Combine like terms: 2b + 7 = 23
Subtract 7 from both sides of the equation: 2b = 16
Divide both sides by 2: b = 8
Therefore, there are 8 boys in the club. To find the number of girls, we add 7 to the number of boys which gives us 8 + 7 = 15 girls.
The expression that represents the number of boys is simply b, which we have determined to be 8 in this context.
What is the length of leg s of the triangle below?
Hey there!
There are a few ways to do this, but I'll give you the one I can explain best.
This is a right triangle. We know this because one of the angles is 90º.
The lengths of the sides of the right triangle can be represented by the following equation:
a² + b² = c²
We already have the values for a and c, c being the hypotenuse.
3² + b² = (√18)²
Let's square a and c.
9 + b² = 18
Subtract 9 from each side of the equation.
b² = 9
To find the final value for b, find the square root of each side of the equation.
b = 3
Your answer is 3, or option D.
Hope this helps!
The length of leg s in the right angled triangle given is 3.
What is the triangle?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. A right angled triangle is a triangle in which of its angle measure 90 degrees.
Here, we have,
This is a right triangle. We know this because one of the angles is 90º.
The lengths of the sides of the right triangle can be represented by the following equation:
a² + b² = c²
We already have the values for a and c, c being the hypotenuse.
3² + b² = (√18)²
Let's square a and c.
9 + b² = 18
Subtract 9 from each side of the equation.
b² = 9
To find the final value for b, find the square root of each side of the equation.
b = 3
The answer is 3, or option D.
To learn more about triangles, please check: brainly.com/question/22949981
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( 2 + 76 ÷ 1 + 9 ) + 4 - 3 x 9
( 2 + 76 ÷ 1 + 9 ) + 4 - 3 x 9
64
Write 0.0123 in dcientific notation
The scientific notation of the given 0.0123 will be 123 x 10^{-4}.
How does scientific notations work?The number is written in the form a x 10^b.
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.
We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as Better readability due to compact representation.
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
The scientific notation of the given 0.0123 will be 123 x 10^{-4}.
Learn more about scientific notation here:
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A catering company is setting up for a wedding. They expect 150 people to attend. They can provide small tables that seat 6 people and large tables that seats 10 people. Find a combination of small and large tables that seats exactly 150 people
We need 10 small sized tables and 9 large sized tables to fit 150 people.
What is Equation?Two or more expressions connected with an equal sign is called as Equation.
We have been given that a catering company is expecting 150 people to attend the wedding.
There are two kinds of tables,
The first kind of tables are small tables in which six people can be fitted.
The second kind of table are big tables in which ten people can be fitted.
Let us form a linear equation by considering x as the tables which can fit 6 people and y as the tables which can fit 10 people,
The total number of people that can fit on all available tables as:
6x+10y
If there are total 150 people expected in the wedding, then equation can be framed as:
6x+10y=150
Now let us take x as 10.
Then
6(10)+10y=150
60+10y=150
10y=150-60
10y=90
y=9
Therefore, you'd need 10 small sized tables and 9 large sized tables to fit 150 people.
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Walter takes 7/10 of an hour to mow 2/5 of an acre of lawn.at this rate how many acres will he mow in a hour
Walter can mow 4/7 acres in an hour.
Steps:
Multiply. (7/10 * x = 10/7)
Multiply. (2/5 * 10/7 = 4/7)
Done!
-
Hope this helped! :)
Answer:
u
Step-by-step explanation:
If 250 readers responded, how many chose museums as their favorite attraction?
This doesn't give any information
Your question is very vague. More info?
You order the sausage and eggs breakfast, and your friend orders the ham omelet. How much is the bill before the taxes and tip?
the total bill before taxes and tip is $18.
To calculate the total bill before taxes and tip, we simply need to sum up the costs of the sausage and eggs breakfast and the ham omelet.
Cost of sausage and eggs breakfast = $8
Cost of ham omelet = $10
Total bill before taxes and tip = Cost of sausage and eggs breakfast + Cost of ham omelet
Total bill before taxes and tip = $8 + $10
Total bill before taxes and tip = $18
So, the total bill before taxes and tip is $18.
The probable question maybe:
In a restaurant You order the sausage and eggs breakfast That costs $8, and your friend orders the ham omelet That costs $10. How much is the bill before the taxes and tip?
-3a-2b for a=-4 and b=-3
-3a-2b
-3 times -4= 12
-2 times -3= 6
12+6=18
hope this helps
also can u give brainy
Plug in a=-4 and b=-3 into -3a-2b
-3(-4) -2(-3)
= 12 + 6
= 18
Answer
18
Jill can answer 50 math questions every 20 minutes. How many questions can she answer in 12 minutes? How many math questions can she answer in 36 minutes?
Answer:
1: 30
2: 90
Step-by-step explanation:
Answer:
In 12 minutes, She can answer 30 math questions.
In 36 minutes, She can answer 90 math questions.
Step-by-step explanation:
Jill can answer 50 math questions every 20 minutes.
1)
How many questions can she answer in 12 minutes
Let (x) represent the number of questions she can answer in 12 minutes:
So, if 50 math question = 20 minutes
and (x) math question = 12 minutes
To solve for (x); we have:
(x) × 20 minutes = 50 math question × 12 minutes
(x) = [tex]\frac{50*12}{20}[/tex]
(x) = [tex]\frac{600}{20}[/tex]
(x) = 30 math questions
∴ In 12 minutes, She can answer 30 math questions.
2)
How many math questions can she answer in 36 minutes?
Let (y) represent the number of questions she can answer in 36 minutes:
So, if 50 math question = 20 minutes
and (y) math question = 36 minutes
To solve for (y); we have:
(y) × 20 minutes = 50 math question × 36 minutes
(y) = [tex]\frac{50*36}{20}[/tex]
(y) = [tex]\frac{1800}{20}[/tex]
(y) = 90 math questions.
∴ In 36 minutes, She can answer 90 math questions.
select all possible solutions for 2x+7<=3x-5
Answer:
12, 18, 24, 107
Step-by-step explanation:
Our inequality is
2x+7 ≤ 3x-5
First we will subtract 3x from each side:
2x+7-3x ≤ 3x-5-3x
-1x+7 ≤ -5
Subtract 7 from each side:
-1x+7-7 ≤ -5-7
-1x ≤ -12
Divide both sides by -1:
-1x/-1 ≤ -12/-1
When we multiply or divide an inequality by a negative number, we flip the inequality symbol:
x ≥ 12
We want numbers that are equal to or larger than 12; this leaves us with
12, 18, 24, and 107.
6 4/11 x2 1/12 Estimate the product
Answer:
The estimated product is 12.
Step-by-step explanation:
When rounding fractions, we can round them to 0, 1/2 or 1. 6 4/11 can be rounded to 6 since 4/11 isn't near the half of 11. 2 1/12 can be rounded to 2 since 1/12 is obviously close to 0. 6 x 2 = 12. The estimated product is 12.
which describes the behavior of the function f(x)=tan^-1(x)?
ANSWER
The correct answer is option C
EXPLANATION
The graph of [tex]f(x)=tan^{-1}(x)[/tex] is shown in the attachment.
You can see clearly that as
[tex]x\rightarrow \infty, f(x)\rightarrow \frac{\pi}{2}[/tex]
and as
[tex]x\rightarrow -\infty, f(x)\rightarrow -\frac{\pi}{2}[/tex]
These are are actually the two horizontal asymptotes to the given function.
Answer:
The answer is C I just took the test.
A carpenter has two lengths of wood; one is 108cm long and the other is 72cm long. He wants to cut them up to produce smaller pieces of wood to build a shelving unit so they all need to be the same length, with no wood left over. What is the greatest length, in cm, that he can make the shelves?
Answer:
36 centimeters.
Step-by-step explanation:
1. To solve this problem you must find the Greatest common factor.
2. List the prime factor of 108 and 72:
[tex]108:(2)(2)(3)(3)(3)=(2^{2})(3^{3})\\ 72:(2)(2)(2)(3)(3)=(2^{3})(3^{2})[/tex]
3. Now, you must choose the common prime numbers with the lowest exponents and multiply them:
[tex](2^{2})(3^{2})=(4)(9)=36[/tex]
Answer: He needs 36 cm to make the shelves.
Step-by-step explanation:
Since we have given that
Length of first wood = 108 cm
Length of second wood = 72 cm
We need to find the greatest length so that he can make the shelves.
Greatest length = h.c.f. of 108 and 72 { 36 cm.
Hence, he needs 36 cm to make the shelves.
I need to write the number that matches the clues
Hundreds tens ones
Question is
My number has 2 hundreds.
The ten digits is 9 more than the ones digit
What’s the number?
The answer to this question is 290
The number has 2 hundreds so 200
The tens place is 9 more than the ones place so its 9
The last number is 0
Nathan bought a wallet for 5% off its full price. What was the full produce of the wallet if Nathan paid 17.67 before sales tax A.18.60 B.22.67 C. 17.72 D. 19.53
Answer:
Option A is correct.
Step-by-step explanation:
Let the full price of the wallet be represented by = x
Total amount that Nathan paid for the wallet = $17.67
Discount percentage = 5% or 0.05 = 0.05x (5% of full price)
So, equation becomes: full price - discount price = 17.67
[tex]x-0.05x=17.67[/tex]
[tex]0.95x=17.67[/tex]
x = $18.60
Therefore, the full price of the wallet is $18.60.
We can also check this by taking out 5% of 18.60
[tex]0.05\times18.60=0.93[/tex]
And[tex]18.60-0.93=17.67[/tex]
So, option A is correct.