The volume of a rectangular prism is the product of its length, width, and height. The length of a rectangle prism is 3 feet more than five times its height. The width is 5 feet less than six times its height. Express the length and width in terms of the height h. The length is The width is (Be sure to Write down the expanded form of the expression for the volume: expand the volume expression) (Express the interval in which the In what range must the height fall? He height must be)
The length and width in terms of the height h is 5h+3 feet and 6h-5 feet respectively, the volume will be [tex]30h^3 - 7h^2 -15h[/tex] units and the height must be in the interval of [tex][0,\infty)[/tex].
According to the question,
The height of the rectangular prism is h.
The length of the rectangular prism is 5h+3 feet
The width of the rectangular prism is 6h-5 feet
The volume of the rectangular prism can be calculated as:
[tex]Length \times width \times height = Volume[/tex]
Substitute the value of height, length and width in the formula:
[tex]V = (5h+3) \times (6h-5) \times h[/tex]
V = [tex](30 h^2 -7h-15)h[/tex]
[tex]V = 30h^3 - 7h^2 -15h[/tex]
The height is always positive. So, the interval in which the In what range must the height fall is [tex][0,\infty)[/tex].
The length and width in terms of the height h is 5h+3 feet and 6h-5 feet respectively and the volume will be [tex]30h^3 - 7h^2 -15h[/tex] units
The height must be in the interval of [tex][0,\infty)[/tex].
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Select all the equations that have the same solution as the equation 4x - 12 = 36
A 4x = 48
B 2x - 6 = 18
С
4x = 24
D
X-4 = 24
E 8x - 24 = 72
Which value of x makes the equation -5x-(-7-4x) =-2(3x-4 true?
Answer:
x = 1/5
Step-by-step explanation:
Step 1: Write equation
-5x - (-7 - 4x) = -2(3x - 4)
Step 2: Solve for x
Distribute: -5x + 7 + 4x = -6x + 8Combine like terms: -x + 7 = -6x + 8Add 6x to both sides: 5x + 7 = 8Subtract 7 on both sides: 5x = 1Divide by 5 on both sides: x = 1/5Step 3: Check
Plug in x to verify it's a solution.
-5(1/5) - (-7 - 4(1/5)) = -2(3(1/5) - 4)
-1 - (-7 - 4/5) = -2(3/5 - 4)
-1 - (-39/5) = -2(-17/5)
-1 + 39/5 = 34/5
34/5 = 34/5
GameStop sold 120 copies of Call of Duty. This was 30% of their supply. How
many copies of Call of Duty did they have before the store opened? *
Answer:
415 Call of Duty
Step-by-step explanation:
120*3=360 which is 90%
120/2=60
360+60=420
420=105%
0.55 minute to 0.1 minute
Answer:
81.8182% decrease
Step-by-step explanation:
(V2−V1)|V1|×100
=(0.1−0.55)|0.55|×100
=−0.450.55×100
=−0.818182×100
=−81.8182%change
=81.8182%decrease
Solve using elimination.
2x + y = 5
x - 3y = 6
Answer:
then substitute y in eq 1 to get x
hope this helped you
Please mark as the brainliest (ㆁωㆁ)
g = a-c+b, solve for a
Answer:
g=a-c+b
g+c-b=a
I hope help you
-4x-y+4 when x=-1 4 and y=3
Answer:
57
Step-by-step explanation:
-4x - y + 4
-4(-14) - 3 + 4
56 - 3 + 4
53 + 4
57
Answer:
2
Step-by-step explanation:
The values of x and y are given. So, plug in the given values into the equation.
-4x-y+4
-4(-1/4)-(3)+4=?
1-3+4=?
=2
(I assumed that you wrote -1/4, by the way)
15 points + brainliest hurry plz its an image
what does x equal to?
Answer:
27.3
Step-by-step explanation:
x = (36.4 x (49 - 28))/21 = 27.3
7x_____=1 Help pls lol
Answer:
1
Step-by-step explanation:
Answer:
I dont think there an answer to that question can you tell us the options
I NEED HELP ASAP PLEASE!!!!
I believe the answer is 530
63.2g of sugar is needed to make 8 cakes how much sugar is needed for 12
Answer: 94.8
Step-by-step explanation:
To find this, you need half of 63.2 which is 31.6. Then add that to 63.2 and bam, your answer.
Answer:
94.8g of sugar
Step-by-step explanation:
Set up a ratio- [tex]\frac{63.2}{8} =\frac{?}{12}[/tex]
cross multiple- [tex]12*63.2=8*?[/tex]
solve- [tex]758.4 = 8*?[/tex]
divide by 8- [tex]758.4/8 = 94.8[/tex]
39.99+0.45x=44.99+0.4x
Answer:
x=100
Step-by-step explanation:
39.99+0.45x=44.99+0.4x
0.45x=5+0.4x
0.05x=5
x=100
which model represents the equation shown below
-4x+(-2)=3x+(-5)
Answer:
The answer on edge is C
Step-by-step explanation:
Hope I helped
Write down in terms of n an expression for the nth term of the following sequence 12,10,8,6,4
Answer:
n-2
Step-by-step explanation:
f-1(x) = (3х – 5)2 + 12
Answer:
i think its 3 if im not mistaken
Step-by-step explanation:
Solve the equation x/3– 9 = 11
Answer:
x=60
Step-by-step explanation:
(60/3)-9=11
20-9=11
Solve |t| - 2= -1
A. -1, 3
B. -1, 1
C. -3, 3
D. -3, 1
Answer:
B
hope this helps :D
Simplify the algebraic expression. 4(x - 3) + 2(x + 5)
Answer:
6x+2
Step-by-step explanation:
4(x-3)+2(x+5)
4x-12+2x+10| Distrubutitive Property
6x-2 | Combine like terms
Solve for X, and show the equation you would use to solve.
Answer:
x = 20
Step-by-step explanation:
There are both consecutive interior angles and are supplementary.
The equation should be written like this:
5x + 50 + x + 10 = 180
Step 1: Simplify both sides of the equation.
5x + 50 + x + 10 = 180
(5x+x) + (50+10) = 180 (Combine Like Terms)
6x + 60 = 180
6x + 60 = 180
Step 2: Subtract 60 from both sides.
6x + 60 − 60 = 180 − 60
6x = 120
Step 3: Divide both sides by 6.
[tex]\frac{6x}{6} = \frac{120}{6}[/tex]
x = 20
Hope it helps!!
hewlp me now and uh plkz plz plz
Answer:
r=22
Step-by-step explanation:
Answer:
r = 22
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] r + 4 = [tex]\frac{3}{4}[/tex] r - [tex]\frac{3}{2}[/tex]
Multiply through by 4 to clear the fractions
2r + 16 = 3r - 6 ( subtract 2r from both sides )
16 = r - 6 ( add 6 to both sides )
22 = r
The scale of a map says that 2 cm represents 10 km. What is the actual number of kilometers that is represented by 6 centimeters on the map?
Answer:
6 times 10 to the minus 5
6 cm on the map represents 30 kilometers in reality, with a scale of 2 cm representing 10 km.
In the given map, the scale is 2 cm represents 10 km.
Each centimeter on the map represents 5 km (10 km divided by 2 cm).
We can use the scale of the map, which states that 2 cm represents 10 km, to determine the precise number of kilometers that 6 centimeters on the map represent.
If 2 cm represents 10 km, then 1 cm represents 10 km / 2 cm = 5 km.
6 centimeters on the map represent 6 cm × 5 km/cm = 30 kilometers in reality.
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340 equals 72 more than y
Write the sentence as an equation.
Answer:
y+72=340
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
9x - 5 = 7x + 3
2x = 8
x = 4
Find the value of x using segment addition below.
When you’re diving fractions what does the “change” In “keep, change, flip” tell you to do?
Answer:
change
Step-by-step explanation:
it means to change the dividing symbol from dividing to multiplying
HELP! DUE TODAY! WILL GIVE BRAINLIEST!!
Question:
Select from the drop-down menus to correctly complete each statement
17.2 is 17.2 units to the ( drop-down 1 ) of zero on a number line. The opposite of 17.2 is 17.2 units to the ( drop-down 2 ) of zero on a number line.
Answer:
#1 would be Right and #2 would be left
Step-by-step explanation:
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A rational function in the form axm+.../bxn+... has a slant (oblique) asymptote when ________.
PLEASE HELP
Answer:
occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator
Step-by-step explanation:
Please help me with these questions!
xoxo, tae's simp :))
Answer:
104.5 is the volume
Step-by-step explanation:
you do length x width x height but but sense theres no length you do
(1.5+9.5) x (9.5)
*simplify*
11 x 9.5 = 104.5
Answer:
ima tae simp to :)
Step-by-step explanation: