About 71.96% of the cylindrical water tank, with a radius of 5 feet and a height of 10 feet, is filled with water when it contains 565.2 cubic feet of water.
To determine what percent of the tank's volume is filled with water, we must first calculate the total volume of the cylindrical tank using the formula for the volume of a cylinder: V = (pi)r²h. Here, the radius r is 5 feet, and the height h is 10 feet.
The total volume V of the tank is:
V = (pi)(5 feet)²(10 feet) = 3.14159 times 25 times 10 = 785.398 cubic feet
Now, since the volume of water in the tank is given as 565.2 cubic feet, we can calculate the percent of the tank's volume that is filled with water by dividing the volume of water by the total volume of the tank and then multiplying by 100 to convert to a percentage. So the calculation becomes:
Percent filled = ([tex]\frac{565.2}{785.398}[/tex]) times 100
Percent filled approx 71.96%
Therefore, about 71.96% of the tank's volume is filled with water.
Chai started to run on a treadmill after setting its timer for 62 minutes. The display says that he has finished 53% of his run. How many minutes have gone by? Round your answer to the nearest tenth.
About 32.9 minutes have gone by.
To find this answer you take your percent and make it a decimal by dividing it by 100. In doing so, you'll get 0.53. Then multiply 0.53 by 62 to get 32.86. Since you have to round to the nearest tenth, you look at the hundredths place to see whether you round up (5-9) or round down (1-4). In this case, you round up making your answer 32.9 minutes.
I hope this helps!
Answer/Step-by-step explanation:
About 32.9 minutes have gone by.
To find this answer you take your percent and make it a decimal by dividing it by 100. In doing so, you'll get 0.53. Then multiply 0.53 by 62 to get 32.86. Since you have to round to the nearest tenth, you look at the hundredths place to see whether you round up (5-9) or round down (1-4). In this case, you round up making your answer 32.9 minutes.
I hope this helps!
Hey can someone check this thanks ( will mark as brainliest however is first!!)
d ≤ 6
The solution set is {6, 5, 4, 3, 2, 1, 0, –1, –2, ....}
Solution:
Given expression is the inequality.
The inequality is [tex]\frac{d}{3}\leq 2[/tex].
To solve this inequality:
[tex]$\frac{d}{3}\leq 2[/tex]
Multiply by 3 on both sides of the inequality, we get
[tex]$\frac{d}{3}\times 3\leq 2 \times 3[/tex]
[tex]$d\leq 6[/tex]
That is the value of d is 6, 5, 4, 3, 2, 1, 0, –1, –2, ....
The solution set is {6, 5, 4, 3, 2, 1, 0, –1, –2, ....}
Hence d ≤ 6.
TWIJCICUL NUV.1.1)
George began making paper flowers for
the tables at the school awards banquet.
He can make 3 flowers per minute. Sue
joined him 5 minutes after he started. She
can make 4 flowers per minute. George
continued to make 3 flowers per minute.
Together, they made 190 flowers.
Which statements about the number of
flowers made are true?
A. George made 115 flowers.
B. George made 90 flowers.
C. George made 30 flowers.
D. Sue made 25 flowers.
E. Sue made 100 flowers.
F. Sue made 160 flowers.
Answer: B and E
Step-by-step explanation: B and E arecorrect because 4 x 25 is 100 and 3 x 30 equals 90 so there you have it
Answer:
B and E
Step-by-step explanation:
Evaluate the expression {10 x 7} + (10 – 6).
Answer:the answer is 74
Step-by-step explanation:
Use a power of ten to estimate the product.
52.6 × 9
450
526
540
500
Answer:
A
Step-by-step explanation:
Which equation is equivalent to the square root of x^2 + 81 = x + 10 (I put a picture up with the question and answers)
Answer:
See below
Step-by-step explanation:
sqrt(x^2+81)=x+10
x^2+81=x^2+20x+100 (which is one of the options)
81=20x+100
-19=20x
x=-19/20
So there's the work done.
If 5 bags weigh the same as 3 blocks, how many blocks will 9 bags weigh?
The weight of 9 bags is 5.4 blocks
Solution:
Given that,
5 bags weigh the same as 3 blocks
We have to find how many blocks will 9 bags weigh
Let "x" be the weight of 9 bags
Then,
5 bags weigh the same as 3 blocks
9 bags weight the same as "x" blocks
From proportion we can say,
5 : 3 : : 9 : x
Therefore,
[tex]\frac{5}{3} = \frac{9}{x}\\\\5x = 27\\\\x = 5.4[/tex]
Thus the weight of 9 bags is 5.4 blocks
9 bags will be equal to 5.4 blocks
Step-by-step explanation:
Step 1 :
Given,
Weight of 5 bags = weight of 3 blocks
We need to find the weight of 9 bags
Step 2 :
From step 1 , we get
Weight of 1 bag = weight of 3 blocks ÷ 5
The weight of bags is in direct proportion to the weight of the blocks.
Hence
Weight of 9 bags = 3 blocks × 9 ÷ 5
= [tex]\frac{27}{5}[/tex] blocks = 5.4 blocks
Step 3 :
Answer :
9 bags will be equal to 5.4 blocks
)) Rachel is using ribbon to create girls' hair barrettes. For a craft fair in Springfield, she
made 12 small barrettes and 12 large barrettes, using a total of 156 yards of ribbon. Then,
for another craft fair in Norwood, she made 10 small barrettes and 11 large barrettes, which
used a total of 138 yards. How many yards of ribbon does Rachel use for each?
Answer:
small: 5 yardslarge: 8 yardsStep-by-step explanation:
Using s and L to represent the amount of ribbon used for small barrettes and large barrettes, respectively, we have ...
12s +12L = 156
10s +11L = 138
Dividing the first equation by 12 gives ...
s +L = 13
Substituting s = 13-L into the second equation gives ...
10(13 -L) +11L = 138
130 +L = 138 . . . . . . . simplify
L = 8 . . . . . . . . . . subtract 130
s = 13 -8 = 5 . . . . find s
Rachel uses 5 yards for a small barrette, and 8 yards for a large barrette.
What is the equivalent fraction of 8/12
Answer:
There are many fractions that are equivalent to 8/12. But if you are looking for the most simplified fraction, then the answer would be 2/3. Because you divide 8 and 12 both by 2. 8 divided by 2 equals 4, and 12 divided by 2 equals 6. Then you would do it again, since both can be divided by 2 again. 4 divided by 2 equals 2, and 6 divided by 2 equals 3. You cannot divide 3 by 2, so your answer would be 2/3.
A sandwich shop sells sandwiches with several different types of meat, several types of bread, and several different types of cheese. How many different combinations can be ordered at this shop?
A. 18
B. 27
C. 36
D. 48
Answer:A. 18
Step-by-step explanation:
Answer: C. 36
Step-by-step explanation:
3x3x4=36
What is the relationship between 4, 16, and squares?
Answer:
A square has 4 sides. 4 squares have 16 sides.
Step-by-step explanation:
Write 90.04 in word form
Answer:
Ninety and four one hundredths
Step-by-step explanation:
The word form of the number is Ninety and four hundredths.
We have,
To write 90.04 in word form, you can express it as "ninety and four hundredths."
Here's an explanation:
The whole number part, 90, is read as "ninety."
The decimal part, 0.04, is read as "four hundredths."
Combining these two parts, we say "ninety and four hundredths" to represent the decimal number 90.04 in word form.
Thus,
The word form of the number is Ninety and four hundredths.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
The measure (in inches) of the sides
Dean selects Teakwood stones
and Buckskin stones to pave a path in front
of his house. How many meters long will
each set of one Teakwood stone and one
Buckskin stone be?
Answer:
You didnt give us data to use
for example TEAKWOOD IS 3 METER LONG AND PATH 10 HOW LONG IS BUCKSKIN
Step-by-step explanation:
HELOOOOOOOOOOO ANYBODY THERE
Answer:
yes where is the question
If a Subway train traveled 12 km in 8 minutes how many km/h was the train going?
Answer: 1.5 km/h
To find the speed use this:
distance/ time
12/8
Answer:
90km/h
Step-by-step explanation:
set up as this: 12km/8min = x/60min then cross multiply
12*60 = 720
8*x = 8x
solve for x
720 = 8x
90 = x
which of the following rectangles is similar to a rectangle that measures 12 units by 16 units? A) 18x24 B) 9x14 C) 6x10 D) 16x20
Answer:
A) 18x24
Step-by-step explanation:
The ratio of the dimensions will be the same for a similar rectangle.
12/16 = 3/4 . . . given rectangle
__
18/24 = 3/4 . . . choice A is similar
9/14 ≠ 3/4 . . . . choice B is not similar
6/10 = 3/5 . . . . choice C is not similar
16/20 = 4/5 . . . . choice D is not similar
3y+6-y Please help! I'm awful at math
Step-by-step explanation:
So what are you looking for with that equation?
PLEASE HALPPP I NEED IT BRAINLIST IF CORRECT!!!!
The value of 23 + 33 = ___.
Answer:
56
Step-by-step explanation:
Step 1: Combine
23 + 33
(20 + 30) + (3 + 3)
50 + 6
56
Answer: 56
Answer:
56
Step-by-step explanation:
23+33=56
~♥~♥≧∇≦≧∇≦≧∇≦≧∇≦
2. which quadrant is 7pi/4 radians in?
a. quadrant I
b. quadrant II
c. quadrant III
d. quadrant IV
Step-by-step explanation:
[tex] \frac{7\pi}{4} = 2\pi - \frac{\pi}{4} [/tex]
Therefore, Quadrant IV
option D
Let f left-parenthesis x right-parenthesis equals 2 x squared plus x minus 3 and g left-parenthesis x right-parenthesis equals x minus 1. Perform the indicated operation, then find the domain. left-parenthesis f minus g right-parenthesis left-parenthesis x right-parenthesis A. x squared minus 4; domain: positive real numbers B. 2 x squared minus 4; domain: all real numbers C. x squared minus 4; domain: all real numbers D. 2 x squared minus 2; domain: all real numbers
Answer:
The option D) is correct "2 x squared minus 2; domain: all real numbers "That is [tex](f-g)(x)=2x^2-2[/tex] and domain is all real numbersStep-by-step explanation:
Given that the functions f and g are defined by
[tex]f(x)=2x^2+x-3[/tex] and [tex]g(x)=x-1[/tex]
To perform the indicated operation (f-g)(x) and then find the domain :To find (f-g)(x)
(f-g)(x)=f(x)-g(x)Substitute the values of the functions we get
[tex](f-g)(x)=f(x)-g(x)=2x^2+x-3-(x-1)[/tex]
[tex]=2x^2+x-3-1(x)-1(-1)[/tex]
[tex]=2x^2+x-3-x+1[/tex]
[tex]=2x^2-2[/tex] ( by adding the like terms )
Therefore [tex](f-g)(x)=2x^2-2[/tex] and domain is all real numbersThe option D) is correct "2 x squared minus 2; domain: all real numbers "The value of (f-g)(x) is [tex]2x^2-2[/tex]. Thus, the correct option is (D)
Two different functions are given that are as follow:
[tex]f(x)=2x^2+x-3[/tex]
[tex]g(x)=x-1[/tex]
We need to determine the value of the composite function that is (f-g)(x).
Now, by using the property of the composite function (f-g)(x) can also be written as:
[tex](f-g)(x)=f(x)-g(x)[/tex]
Substitute the values of both the functions and solve it further for (f-g)(x).
[tex]\begin{aligned}(f-g)(x)&=(2x^2+x-3)-(x-1)\\&=2x^2+x-3-x+1\\&=2x^2-2\\&=2(x^2-1)\end{aligned}[/tex]
Thus, the value of (f-g)(x) is [tex]2x^2-2[/tex]. Thus, the correct option is (D)
To know more about it, please refer to the link:
https://brainly.com/question/5614233
what is the sum of angles in a triangle
Answer: 180 degrees
Step-by-step explanation:
A triangle has 3 sides which is always equal to 180 degrees.
I hope this helps.
Answer:
180 degrees
Step-by-step explanation:
All triangles have three sides and are suplementary (meaning they add up to 180 degrees) so the answer to your question is 180 degrees.
What is the length of side TS?
2 StartRoot 6 EndRoot units
6 StartRoot 6 EndRoot units
24 units
8 units
Answer:
its B- 6 startroot 6 endroot units
Step-by-step explanation:
Answer:
B. 6√6
Step-by-step explanation:
EDGE2021
a 34 inch piece of wood is 20% of a longer piece of wood. How long is the longer piece of wood?
Answer:
170 inches
Step-by-step explanation:
34/x = 20/100
x = 170 inches
Answer: 170 inches
Step-by-step explanation: 20% multiply by 5(100%)
Substitute 20% with 34, and end with 170 inches
What is X+x+x+2 equivalent to?
Answer:
3X+2
Step-by-step explanation:
X+X+X+2=3X+2
Solve the system of equations.
y=x+57
y=8x+15
Answer:
x=6, y= 63
Step-by-step explanation:
Please see attached picture for full solution.
4. A video rental store rents movies at $3.95 for the first night, plus $1.25 for each additional night. When you return your movie, you pay $7.70. How many extra nights did you keep the movie?
Answer:
3 nights
Step-by-step explanation:
Set up an equation that represents the problem:
y = 1.25x + 3.95
Where y is the total cost and x is the number of additional nights you rent the movie
Substitute:
7.70 = 1.25x + 3.95
Subtract 3.95 on both sides:
7.70 = 1.25x + 3.95
-3.95 -3.95
3.75 = 1.25x
Divide by 1.25 on both sides:
3.75 = 1.25x
/1.25 /1.25
3 = x
Therefore, you kept the movie for 3 additional nights.
Answer:
3
Step-by-step explanation:
which equation goes with the table?
Answer:
y=3x that is the answer
Someone please help! I gave this extra points because the question has a picture. I will give thanks and 5 star for any answer.
Answer:
53°
Step-by-step explanation:
x + (2x + 21) = 180
(Corresponding angles &
Supplementary angles)
3x + 21 = 180
3x = 159
x = 53°
At the beginning of a board game, players take turns
drawing 7 lettered tiles. Are drawing A's on the first two tiles dependent or
independent events? Explain.
The second pick is dependent on the first one.
Let [tex]a[/tex] be the number of tiles with the letter A, and [tex]n[/tex] be the total number of tiles.
With the first pick, you have probability [tex]\frac{a}{n}[/tex] to pick an A, because you have [tex]a[/tex] "good" cases out of [tex]n[/tex] possible cases.
The second pick depends on the first one:
If you pick an A tile on the first pick, the probability of picking another A is now [tex]\frac{a-1}{n-1}[/tex]If you didn't pick an A tile on the first pick, the probability of picking another A is now [tex]\frac{a}{n-1}[/tex]