Answer: $180 ≤ 8c + 9p
A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than the width. What are the dimensions of this box? Give your answer in the form l,w,h as comma separated values. For example if the box has a length of 1, a width of 2, and a height of 3, you would submit the answer 1,2,3.
Answer:
Length = 8 inches
Width = 4 inches
Height = 6 inches
Step-by-step explanation:
Volume of the box = 192 cubic inches
Volume of a box = length × width × height
Let
Width = x
Length = 2x
Height = x + 2
Volume of a box = length × width × height
192 = 2x * x * (x + 2)
192 = 2x^2 (x + 2)
192 = 2x^3 + 4x^2
Divide through by 2
96 = x^3 + 2x^2
Subtract 96 from both sides
x ^3 + 2x^2 - 96 = 0
Factorise
(x - 4) (x^2 + 6x + 24) = 0
x^2 + 6x + 24 has no real x-value
So,
Divide both sides by (x^2 + 6x + 24).
0 ÷ (x^2 + 6x + 24) = 0
So,
(x - 4) = 0
x = 4
Width = x = 4 inches
Length = 2x
= 2(4)
= 8 inches
Height = x + 2
= 4 + 2
= 6 inches
Check:
Volume of a box = length × width × height
= (8 * 4 * 6) inches
= 192 inches
PLEASE HELP AND SHOW HOW YOU GOT THE ANSWER PLEASEEE
Step-by-step explanation:
Hey there!
The points are; A(-2,3) and B(X,-5). And the distance between them is (√80) units.
We have;
[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
Keep all values.
[tex] \sqrt{80} = \sqrt{ {(x + 2)}^{2} + {( - 5 - 3)}^{2} } [/tex]
Squaring on both sides.
[tex] { (\sqrt{80}) }^{2} = ( { \sqrt{( {x + 2)}^{2} + ( { - 8)}^{2} } )}^{2} [/tex]
Simplify them.
[tex]80 = ( {x + 2)}^{2} + 64[/tex]
[tex]( {x + 2)}^{2} = 80 - 64[/tex]
[tex]( {x + 2)}^{2} = 16[/tex]
[tex]( {x + 2)}^{2} = {4}^{2} [/tex]
Cancel square from both sides.
[tex]x + 2 = 4[/tex]
X= 4-2
Therefore, X= 2.
The x-coordinate of B is 2.
Hope it helps....
(80)2=((x+2)2+(−8)2)2
Simplify them.
80 = ( {x + 2)}^{2} + 64
80=(x+2)2+64
( {x + 2)}^{2} = 80 - 64
(x+2)2=80−64
( {x + 2)}^{2} = 16(x+2)2=16
( {x + 2)}^{2} = {4}^{2}
(x+2)2=4^2
Cancel square from both sides.
x + 2 = 4
X= 4-2
Therefore, X= 2.
The x-coordinate of B is 2.
What is the Nature of Roots of x^2+9x+14=0?
Answer:
(x+7)(x+2)
Step-by-step explanation:
If we multiply it out we get:
x * x = x^2
7 * x = 7x
2 * x = 2x
7 * 2 = 14
Add it all, we get: x^2 +9x+14
Therefore these are the factors
What is the slope of a line perpendicular to y=4/3x+4
Answer:
-3
Step-by-step explanation:
The average speed of a plane was 500 kilometers per hour . How long did it take the plane to travel 100 kilometers
Answer:
12 minutes (1/5 hour)
Step-by-step explanation:
Speed is 500 kmph.
Distance is 100 km.
Time = Distance/Speed = 100 km/500 kmph = 1/5h = 12 minutes.
need help with this problem please
A concert started at 5:22 PM on a Friday. The concert ended at 7:04 PM. How long did the concert last?
Answer: 1 hour 42 minutes
Answer:
1 hour and 42 minutes
Step-by-step explanation:
I NEED HELP PLEASE!!!!
Find the slope of the line passing through the points (-6,-5) and (4,4)
Answer:
m = [tex]-\frac{1}{10}[/tex]
Step-by-step explanation:
To find the slope you use the equation y2-y1 / x2 - x1. For this problem, it would be 4 - - 5/ 4 - - 6. If we simplify this you will get 9/10. Therefore, The slope of the line will be 9/10.
I earn 770.98(R) every week. I have 385.49(R) since I spent the other half on toys. I want extra items on a game, but it's 1,541.72(R). How long will I have to wait until I save enough money for it? 385.49 + 770.98 < 1,541.72. (It's in Russian dollar so lemme translate) 385.49 = 5 US dollar) 770.98 = 10 US dollar) 1,541.72 = 20 US dollar)
Answer:
1.5 weeks
Step-by-step explanation:
Given
[tex]Earnings = 770.98[/tex] weekly
[tex]Amount\ Left = 385.49[/tex]
[tex]Game\ Cost = 1541.72[/tex]
Required
Determine the time taken to save up
Represent the time with t
The relationship between the given parameters can be expressed as:
Amount + Earnings in t weeks = Game Cost
This gives:
[tex]385.49 + 770.98t = 1541.72[/tex]
Collect Like Terms
[tex]770.98t = 1541.72 - 385.49[/tex]
[tex]770.98t = 1156.23[/tex]
Solve for t
[tex]t = 1156.23/770.98[/tex]
[tex]t = 1.49968870788[/tex]
[tex]t = 1.5[/tex] Approximated
3x - 2y = 38
x = 6 - y
Choose a solving method to find the solution
(if possible provide explanation I do not understand this!)
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
HELP PLS
Answer:
Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Hope this helps. :)
Which statement is equivalent to the inequality 1/2x+3<2x-6?
Please help me fast
x > 6
Step-by-step explanation:Hi there !
1/2 x + ²⁾3 < ²⁾2x - ²⁾6
x + 6 < 4x - 12
6 + 12 < 4x - x
18 < 3x
3x > 18
x > 18/3
x > 6
Good luck !
I need some help on geometry
Answer:
Angles 1 and 3 are 151 degrees and angle 2 is 29 degrees
Step-by-step explanation:
2 and 4 are opposites so they will be the same measurement and 1 and 3 are easy to find. Just subtract 29 from 180.
I need it asap HELP ME PLEASE
Answer:
x=-38
Step-by-step explanation:
8x+51=6x-25
2x= -76
x= -38
3(x + 6) — 2(x + 2) > 10
Answer:
x > -4
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
x + 14 > 10
Step 2: Subtract 14 from both sides.
x + 14 − 14 > 10 − 14
x > −4
Hope it helps!
i need help with finding the value of x
Answer:
Step-by-step explanation:
7x-2=11x-34
-2+34=11x-7x
32=6x
x=32/6=16/3
will be nice if you give me brainlies.Good luck!
for each ordered pair, determine whether it is a solution to 7x+3y=2
the ordered pairs:
0, -8
-1, 3
2, -4
5, 2
Answer:
Step-by-step explanation: i thimk 5,2
In the state of New Mexico, 85% of the land is above 4,000 feet in elevation.
Which fraction is equivalent to 85%?
A) 4/5
B) 5/8
C) 17/20
D) 1/85
Answer:
85 % = 17/20
Step-by-step explanation:
It is given that,
85% of the land is above 4,000 feet in elevation.
We need to write a fraction that is equivalent to 85%.
We know that, percent means dividing by 100 i.e.
[tex]85\%=\dfrac{85}{100}[/tex]
We can write 85 as 17×5 and 100 as 20×5
So,
[tex]\dfrac{85}{100}=\dfrac{17\times 5}{20\times 5}[/tex]
5 will cancel out from numerator and the denominator
[tex]\dfrac{85}{100}=\dfrac{17}{20}[/tex]
Hence, the correct option is (c).
Benny bought 6 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 31 cards left. How many cards did Benny start with ?
Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipes helps produce more or less energy. He collected random samples of manure and bananas from the farm, prepared 15 bottles of each of both mixtures, and placed a balloon on top of each bottle. After two weeks he measured the circumference of each ballon in centimeters; the bigger the balloon grew, the more energy that was produced. The results of the experiment are displayed in the box plots below.
What can Vector report to his local Biogas Club about the results of his experiments?
Answer:
About 75% of the time, the mixture of cow manure and mashed bananas IS LIKELY to produce MORE biogas than pure cow manure on THIS local farm.
Iready 100%
Answer:
The range is more consistent with pure cow manure, but the mixture of cow manure and mashed bananas creates more biogas overall.
is 16π rational or irrational
Answer:
The square root of 16 is a rational number. The square root of 16 is 4, an integer.
Answer:
it is irrational
Step-by-step explanation:
but since the digits in π (pi) never end and never recur, there are no numbers to which is can be simplified that would allow for it to be written as a fraction. Therefore it is an irrational number.Mar 14, 2017
which representation does not show y as a function of x
Which best describes what forms in nuclear fusion?
a
one smaller, less stable nucleus
b
one larger, more stable nucleus
c
two larger, less stable nuclei
d
two smaller, more stable nuclei
Answer:
I guess Letter B. One Larger, More stable nucleus
It produces nearly all the elements that are heavier than helium..
Answer:
Answer A
Step-by-step explanation:
Edge 2021
Please help within the next hour
Answer:
it's x= 1±sqrt(47)
Step-by-step explanation:
4. Which expression is equivalent to x 2+ 5x – 24?
(1) (x + 3)(x – 8) (3) (x – 3)(x + 8)
(2) (x – 2)(x + 12) (4) (x + 2)(x – 12)
Answer:
4
Step-by-step explanation:
The occupancy rate of a motel is the percentage of rooms that are occupied on a particular night. The
histogram below summarizes the occupancy rates for a random sample of 100 nights for a motel.
0.35
0.30
0.25-
0.20-
0.15-
0.10-
0.05
0+
0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95
Motel Occupancy Rate
Based on the histogram, which of the following values could represent Q3?
Relative Frequency
(A) 0.24
(B) 0.63
(C) 0.67
(D) 0.71
(E) 0.75
For the given table, the third quartile is given by:
(D) 0.71.
What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set, which is the 25th percentile.The third quartile is the median of the second half of the data-set, which is the 75th percentile.Given a cumulative frequency table, the third quartile Q3 is the value when the sum of the frequencies is of 0.75.
From the frequency table, we have that:
A rate of 0.65 is the 30th percentile.A rate of 0.7 is the 57th percentile, as 0.3 + 0.27 = 0.57.A rate of 0.75 is the 80th percentile, as 0.57 + 0.23 = 0.8.Hence the 75th percentile is between 0.7 and 0.75, meaning that option D is correct.
More can be learned about the quartiles of a distribution at https://brainly.com/question/28168026
#SPJ1
You are helping your older sibling look for an apartment. There are 2 final choices. Apartment A is $1200 per month and requires a security deposit of $1000. Apartment B is $1175 per month and requires a security deposit of $1500. How many months will it be before the costs are the same?
Answer:
20 months.
Step-by-step explanation:
Let the number of months be represented as x
Apartment A is $1200 per month and requires a security deposit of $1000.
= $1200 × x + $1000
1200x + 1000
Apartment B is $1175 per month and requires a security deposit of $1500.
= $1175 × x +$1500
1175x + 1500
Apartment A = Apartment B
1200x + 1000 = 1175x + 1500
Collect like terms
1200x - 1175x = 1500 - 1000
= 25x = 500
x = 500/25
x = 20
Therefore, the costs for both apartment A and B will be the same after 20 months.
Evaluate f(x)=2x-7 when x=-2,0 and 3
Answer:
Step-by-step explanation:
A) y = 2x – 7 and f(x) = 7 – 2x
Incorrect. These equations look similar but are not the same. The first has a slope of 2 and a y-intercept of −7. The second function has a slope of −2 and a y-intercept of 7. It slopes in the opposite direction. They do not produce the same graph, so they are not the same function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.
B) 3x = y – 2 and f(x) = 3x – 2
Incorrect. These equations represent two different functions. If you rewrite the first equation in terms of y, you’ll find the equation of the function is y = 3x + 2. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.
C) f(x) = 3x2 + 5 and y = 3x2 + 5
Correct. The expressions that follow f(x) = and y = are the same, so these are two different ways to write the same function: f(x) = 3x2 + 5 and y = 3x2 + 5.
D) None of the above
Incorrect. Look at the expressions that follow f(x) = and y =. If the expressions are the same, then the equations represent the same exact function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.
help me out people, ill give brainliest to whoever answers best :P
Answer:
2 a
No the solution is not the same for both moves.
because the result is not the same.Also the first move lead to an error.
2 b
The solution is d=0
recipe call for 5 teaspoons of seasoning for every 7 batches of chicken. If you have 14 batches of chicken, how many teaspoons of seasoning will you need?
Answer:
10 teaspoons
Step-by-step explanation: