The total volume of water in the pool is (6x² + 12x - 90) ft³.
What is Volume?Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.
A fish tank, for example, is 3 feet long, 1 foot wide, and 2 feet tall. To calculate the volume, multiply the length by the breadth by the height, which is 3x1x2, which equals six.
Given:
The volume of water in the deep end can be represented by
= (2x² + 12x + 10) ft³
and, the volume of the water in the shallow end can be represented by (4x² −100) ft³.
The total volume of water in the pool = ( 6x^3 + 12x^2 - 90x ) ft^3
So, The total volume of water in the pool
= volume of water in the deep + volume of the water in the shallow end
= (2x² + 12x + 10) + (4x² −100)
= 2x² + 4x² + 12x + 10 - 100
= 6x² + 12x - 90
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If I get 30 plates for $5.00 how much is each plate?
Pls show work
Answer:
16 cents
Step-by-step explanation:
5/30 = .16666
Hey guys can ya help me with this one?
Answer:
Step-by-step explanation:
35
identify the function shown in this graph I give Brainliest
Identify which equations have one solution, infinitely many solutions, or no solution.
Answer:
I think it is
A:One solution
B:Infinitely many solutions
C:One solution
D:Infinitely many solutions
E:One solution
F:One solution
Step-by-step explanation:
I did most of my calculations are on paper
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Answer:
But Why
Step-by-step explanation:
Estimate the difference. 9 1/2 - 1 6/7
8 1/2
8
7
7 1/2
Please solve very urgent
the area of the parallelogram shown is 9 square inches set up and solve an equation to find the value of
If the area of the parallelogram shown is 9 square inches. The value of x will be 45.
What is parallelogram?In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°. Similar to how the area of a rectangle is calculated, the formula for calculating the area of a parallelogram is base times height.
It is given that the sides of the parallelogram are (1/9x-2) and 3 and the area is 9 square inches.
The area of the parallelogram will be the product of their sides as,
Area = Side A × Side B
A = (1/9x-2) 3
9 = 1/3x-6
Simplify the equation to find the value of x,
9+6 = 1/3x
15=1/3x
x=45
Thus, if the area of the parallelogram shown is 9 square inches. The value of x will be 45.
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Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table.
Color of Tile Purple Pink Orange
Number of times the tile is drawn 4 24 22
What is the experimental probability that Jenny will pull out a purple tile? (1 point)
Group of answer choices
4 over 50
4 over 46
24 over 50
24 over 46
Answer:
4 over 50
Step-by-step explanation:
4+24+20=50
and= 4/50
A right circular cone has a radius of 8 in. and a slant height of 12 in. These dimensions are multiplied by 6. By what factor is the surface area multiplied?
Answer:
36
Step-by-step explanation:
Ratio of sides
1 : 6
Ratio of areas
1² : 6²
1 : 36
Help me in confused and this thing has 40 QUESTIONS >:( WHYYYYYYYYYYYYYYYYYYYY
Answer:
15
Step-by-step explanation:
Base=bottom
height=vertical
PLS HELPPPP The question is down below.
Answer:
I think it's C
Step-by-step explanation:
Answer: c. The price of 6 tickets is 30$, which is $5.00 per ticket
Mitchell cycled a total of 4 kilometers by making 2 trips to work. After 4 trips to work, how many kilometers will Mitchell have cycled in total? Assume the relationship is directly proportional.
Answer:
8 kilometers.
Each trip he bikes 2 kilometers, if he makes 4 trips that's 4 x 2 which is 8
What is the solution to the system of equations?
2x+y=11
1/2x-5y=8
please help!!!
Answer: ( x,y ) = ( 96/43, 152/43 )
Step-by-step explanation:
Answer: ( x,y ) = ( 96/43, 152/43 )
Step-by-step explanation:
rewrite the expression
2x + y=8
11 1/2 x X - 5y=8
mixed fraction btw.
simplify
2x + y =8
23x - 10y = 16
multiply both sides
20x + 10y = 80
23x - 10y = 16
eliminate one variable by adding the equations
43x =96
divide both sides
x = 96/43
substitute the value of x
2 x 96/43 + y = 8
solve the equation
y = 152/43
a possible solution is
( x,y ) = ( 96/43, 152/43 )
check solution
simplify
8 = 8 = 8
the ordered paired is a solution!
final answer: ( x,y ) = ( 96/43, 152/43 )
Twenty-four divided by the difference between 1 1/4 and 3/4
Answer:
48
Step-by-step explanation:
1 1/4-3/4= 1/2
24/1/2
= 48
Help pls!! Solve the inequality x + 13 < 0. Give your answer in interval notation.
Answer:
-14
Step-by-step explanation:
x=-14+13
-1
0 is biger than -1
Find the area of a triangle with a base length of 3 units and a height of 4 units.
Group of answer choices
3 units
6 units
7 units
8 units
Answer:
[tex]6[/tex] square units
Step-by-step explanation:
The area of a triangle can be calculated by multiplying the triangle's base by its height, and then dividing the result by [tex]2[/tex]. As an algebraic expression, this would be [tex]\frac{bh}{2}[/tex], where [tex]b[/tex] is the triangle's base and [tex]h[/tex] is the triangle's height. In this case, we know that [tex]b=3[/tex] and [tex]h=4[/tex]. Therefore, the area of this triangle is [tex]\frac{3*4}{2} =\frac{12}{2} =6[/tex] square units. Hope this helps!
My rule is: take a number, add 15, and then subtract 9. Write down the rule.
Please can you give me the answer to these questions! I need this by today!
Answer:
a) 7
b) 6
c) 5.2
d) 7
Step-by-step explanation:
How to find mode:
To find mode what you do is find the number that is the most common in the number group. In this case, there was one 3, three 7's, one 2, one 4, one 5, one 1, and two 8's. And since there was the highest amount of 7's, 7 was the mode.
How to find median:
To find the median, you line the numbers up from smallest to greatest and find the middle number, since this was a even number, there were two center numbers which were 5 and 7, after finding those, you add 5 and 7 together and divide that by two. So the equation would be (5+7)÷2=6
How to find mean:
To find the mean, you add all of the numbers together then divide it by the amount of numbers there are. The equation would be: (3+7+2+4+7+5+7+1+8+8)÷10=5.2
How to find range:
To find the range you do the largest number minus the smallest number. In this case it would be 8-1=7.
Solve the following equation 12 = 4 + 4(m + 1)
HELP ASAP!! (Zoomed in version of section 5,6,7)
Andrew plays on a basketball team. In two games he scored 2/5 of the total number of points his team scored. His team scored 55 points in the first game and 35 points in the second game. What was the number of points Andrew scored in these two games?
18
20
36
90
Answer:
36
Step-by-step explanation:
First we need the total number of points scored.
55+35= 90
Then we need to figure out how many points Andrew had.
2/5 of 90 points.
2/5 is .4 or 40%
So we multiply
90(.4) = 36
Examine the linear graph. Determine the y-intercept and write the y-intercept in coordinate form. Then write the equation of the line in slope-intercept form.
Answer:
y-intercept: 100 (0, 100)
[tex]y=\frac{8}{7}x+100[/tex]
Step-by-step explanation:
The y-intercept is the point on a graph that crosses the y-axis, this line crosses the y-axis at 100.
slope-intercept form is: [tex]y=mx+b[/tex]
[tex]m=slope[/tex]
[tex]b=y-intercept[/tex]
This line has a slope of 8/7 and the y-intercept is 100 so the equation would be: [tex]y=\frac{8}{7}x+100[/tex]
y=8/3x+100 is the equation of the line in slope-intercept form.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
From the given graph let us consider two points through which the line is passing.
(0, 100) and (42, 148)
Slope=148-100/42
=48/42=8/3
Now let us find the y intercept
100=8/3(0)+b
b=100
So slope intercept form is y=8/3x+100
Hence, y=8/3x+100 is the equation of the line in slope-intercept form.
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Write a percent proportion where the part and the whole are known. Solve the problem to find the percent.Show your work, and explain.
Answer:
what % 65 is 13
Step-by-step explanation:
13/65 = x/100
13 x100
65x = 1,300
SMART PPL PLEASE HELP!!!
Answer:
(n+m)6
6(m+n
Step-by-step explanation:
Parentheses you start with. Then multiply by 6. When there is nothing in between them, that means multiply. And this goes with the communitive property so either way its put or reversed it still equal the same thing.
Have a great day!
Answer:
I believe it's the 4th one
Step-by-step explanation:
Area is multiplying
What does theme add to a story? *
( A) A sense of location.
(B ) Motivation for the characters.
(C) Dialogue for the characters.
(D )An important message.
Follow directions please. Do your best. You don't need to explain. I am not doing BRAINLIEST anymore. It causes too many problems. I don't like arguing so that is why. If you have any questions or just want to talk and be friends type in my question box please.
Answer: 760267200
Step-by-step explanation:
Fill in the blank
A(n) ________ can be either addition, subtraction, division, or multiplication.
Answer:
Operation is your answer hope this helps
Step-by-step explanation:
Answer:
An operation can be addition, subtraction, division, and/or multiplication
Step-by-step explanation:
Althea has 100 trading cards and Marlon has 20. Every day Althea gives Marlon one card. Use the equations "c=100-d" and "c=20+d" to model this situation. Solve the system by substitution. Explain what the solution means in this situation.
Answer: 5
Step-by-step explanation: 100/20=5
answer number 2, please
hi please help and thanks
Answer:
input. Rule. Output
2. Y=2(2)+5. 9
4. Y=2(4)+5. 13
6. y=2(6)+5. 17
8. y=2(8)+5. 21