Answer:
17.73 gallons.
Step-by-step explanation:
413/210 is 1.97. 1.97x9=17.73
If m<3 =60, find the m<8
Answer:
30
Step-by-step explanation:
help me find the value of x
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
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.
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 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.
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
Determine whether the graph is the graph of a function. (5 points)
Answer: It is not a function
Step-by-step explanation: It does not pass the vertical line test
Is 2 - 91 positive or negative?
Answer:
Negitive
Step-by-step explanation:
2-91= -89
Answer:
negative
Step-by-step explanation:
find the difference between the actual values of the two sixes in the number 6036
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.
what would an equation be for 6 bags of flyers each bag containing 12 flyers
Answer:
6x12
Step-by-step explanation:
Answer:
6 multiplied by 12
Step-by-step explanation:
you have 6 bags, each bag contains 12 flyers
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 !
The soccer team is
conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10.
So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the
number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?
O x + y < 200
O x + y > 200
O 14x + 10y > 200
O 14x + 10y < 200
Answer
it’s c
Step-by-step explanation:
you fool I have been trained in your Jedi arts by count dooku
I got a hundo on the test
Inequalities help us to compare two unequal expressions. The inequality that best the T-shirts they have sold is 14x+10y<200.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given the cost of long-sleeved T-shirts is $14, while the short-sleeved T-shirts cost $10. Also, it is given the number of long-sleeved T-shirts is represented by x, while the number of short-sleeved T-shirts is represented by y. Therefore,
14x + 10y
Since the sales done is less than $200, therefore, the inequality that best the T-shirts they have sold is,
14x + 10y < 200
Hence, the inequality that best the T-shirts they have sold is 14x+10y<200.
Learn more about Inequality:
https://brainly.com/question/19491153
#SPJ5
Which of the following gives the area, A, of a circle with a diameter of 6
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.
Please help within the next hour
Answer:
it's x= 1±sqrt(47)
Step-by-step explanation:
Solve: x3 = 27
A) X = 3
B) X= 3 and x = -3
C) X = 9
D) X = 9 and x = -9
Answer:
C
Step-by-step explanation:
27/3=9
Just do cube root of 27.
x has to equal 3 because -3 cubed is -27, 9 cubed is 729, and -9 cubed is -729.
X = 3, The answer is choice A.
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).
What is the slope of a line perpendicular to y=4/3x+4
Answer:
-3
Step-by-step explanation:
7.
6. Mr. Phuong stayed in a hotel room for 2
nights that cost $210. The hotel room tax
rate in the city is 12%. What is the total cost
for the hotel room? (Example 2)
Answer:
The total cost of the hotel room is $235.20
Step-by-step explanation:
Here, we want to find the total cost of the hotel room
Total cost of hotel room = Cost of hotel room for the two nights + tax
Tax = 12%
Total cost = 210 + 12% of 210
Total cost = 210 + (12/100 * 210)
Total cost = 210 + 25.2
Total cost = $235.2
There are 120 people at a party 1/3 of the peopl leave the party. Work out the number of people still at the party
Answer:
40
Step-by-step explanation:
how i did it probably isn't normal but first i did 1/3 of 100 and that's 33.33
then i did 1/3 of 20 and that's 6.66 then you just add them together
33.33+6.66 and that's 39.99
then just round up
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
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.
Naomi and Claire are painting a mural. Naomi paints 2 square feet per hour and has already painted 16.5 square feet.
Claire paints 4 square feet per hour and has already painted 7.5 square feet.
How many more hours will it take for Naomi and Claire to paint an equal total number of square feet?
Answer:
4 hours
Step-by-step explanation:
16.5+x2
7.5+x4
16.5+2=17.5+2=19.5+2=21.5+2=23.5
7.5+4=11.5+4=15.5+4=19.5+4=23.5
Reflect: You found that ( 3 + 4 x ) + ( 2 - x ) = 5 + 3x
Suppose x=i (the imaginary unit)
What equation do you get?
Answer must include words/explanations
(guys please help!!)
Answer:
We start with the equation:
(3 + 4x) + (2 -x) = 5 + 3x
Now we replace:
x = i
This is just changing all the "x"s in the equation by "i"s:
(3 + 4i) + (2 - i) = 5 + 3i
This can be viewed as 3 complex numbers:
z1 = 3 + 4i
z2 = 2 - i
z3 = 5 + 3i.
Now, let's check if equality remains true:
(3 + 4i) + (2 - i) = 5 + 3i
The first step is to use the associative and commutative properties to separate the real and imaginary parts.
(3 + 2) + (4i - i)
5 + (4 - 1)*i
5 + 3i
Then the equality remains true.
And this will be true always, for anything that we feed into the x in our initial equation:
(3 + 4x) + (2 -x) = 5 + 3x
This is because x is a variable, so it can be evaluated in any number, and the equality will still be true.
Which equation. Represents a line that is parralel to y = -2x-5
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Two parallel lines have the same slopes thus ;
The line which we want should in form like this :
y = - 2 x + h
(( h )) can be any positive and any negative number.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The sluggers go out for pizza after a game. Seven large pizzas plus two medium pizzas together have 100 slices. Five large pizzas plus six medium pizzas have 108 slices. How many slices are in each size?
Answer:
Large pizzas= 12 Medium= 8
Step-by-step explanation:
if you 12 by 5 and 8 by 6 and add them together you get 108
What slope perpendicular to: m=5/8
Answer:
[tex] - \frac{8}{5} [/tex]
Find the measure of the exterior angle.
Answer:
108°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
2a is an exterior angle, thus
2a = a + 10 + 44 = a + 54 ( subtract a from both sides )
a = 54
Thus 2a = 2 × 54 = 108° ← exterior angle