Raymond built a “rocket" made from a cylinder and a cone. He filled the rocket
completely with water. What is the maximum number of gallons of water the rocket can
hold?
(231 in 3 = 1 gallon)
14in
16in
4in
Answer:
Rocket can hold maximum 4.5 gallons of water.
Step-by-step explanation:
Volume of the rocket = Volume of the cone on the top + Volume of the cylinder at the bottom
Volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here r = radius of the circular base
h = height of the cone
Volume = [tex]\frac{1}{3}\pi (4)^{2}(14)[/tex]
= [tex]\frac{224\pi }{3}[/tex] cubic inch
Volume of the cylinder = [tex]\pi r^{2}h[/tex]
Here r = radius of the base
h = height of the cylinder
Volume = [tex]\pi (4)^{2}(16)[/tex]
= 256π cubic inches
Volume of the rocket = [tex]\frac{224\pi }{3}+256\pi[/tex]
= [tex]\frac{992\pi }{3}[/tex]
= 1038.82 cubic inches
Since 231 cubic inches volume of a rocket can hold water = 1 gallon
Therefore, 1038.82 cubic inches space can hold water
= [tex]\frac{1038.82}{231}[/tex]
= 4.497
≈ 4.5 gallons
Rocket can hold 4.5 gallons of water.
A page in Johanie’s workbook is torn, and one of the questions is cut off. She can read only the first part of the question: “In which quadrant would you find point P if the coordinates of P are (–5, ...” Assuming that P is not on an axis, what are the possible answers to this question?
Answer:
Quadrant 3 and Quadrant 4
Step-by-step explanation:
If the point is negative, then it will definetely be on the left side of the graph. The two quadrants on the left side are 3 and 4. Hope this helps!
why is the quotient -100/(-5) the same as the quotient 100/5
Answer:The quotient of -100 and -5 is the same as the quotient of 100/5 because if you divide a negative number by a negative number, you will get a positive number and the same way if you divide a positive number by a positive number you will get a positive number.
Step-by-step explanation:
-100/-5 = 20
100/5 = 20
4x - 10=-2
Solve for x
Answer: x=2
hope this helps!
Write an equation that represents the line.
Use exact numbers.
Answer:
y=(7/5)x + 34/5
Step-by-step explanation:
All straight lines generally follow the equation format of: y=mx+c
Where m is the slope/gradient of the line, and c is a constant, the y-intercept, the y value when x=0.
To start, we need to find the slope, which we do by dividing the rise of the line by the run, that is the difference between the y value of two points divided by the different between the x value of two points.
We can use the two given points on the graph: (-7,-3) and (-2,4).
The rise is 7 because 4-(-3)=7, and the run is 5 because -2-(-7)=5.
Therefore the slope is 7/5.
so our equation so far is:
y=(7/5)x + c, (It is positive because the line is 'going upwards'.)
Now to find the c, we can just substitute in a pair of coordinates, we can use (-2,4):
4= (7/5)(-2) + c
4 = -14/5 + c
4 + 14/5 = c
c= 34/5
Therefore our full equation is:
y=(7/5)x + 34/5
Hope this helped!
Can you help me with this I don’t know how to do it
Answer:
67,900
Step-by-step explanation:
Move the decimal place 4 spaces to the right.
Answer:
it is for sure 67,900 :)
Step-by-step explanation:
Please help, solve for x and n
Answer:
1. [tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 1}}}}}[/tex]
2. [tex] \boxed{ \bold{ \huge{ \boxed{ \sf{n = - 5}}}}}[/tex]
Step-by-step explanation:
1. [tex] \sf{ \frac{6}{x + 1} = \frac{3}{x} }[/tex]
Do cross multiplication
[tex] \dashrightarrow{ \sf{6x = 3(x + 1)}}[/tex]
Distribute 3 through the parentheses
[tex] \dashrightarrow{ \sf{6x = 3x + 3}}[/tex]
Move 3x to left hand side and change it's sign
[tex] \dashrightarrow{ \sf{6x - 3x = 3}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{3x = 3}}[/tex]
Divide both sides by 3
[tex] \dashrightarrow{ \sf{ \frac{3x}{3} = \frac{3}{3} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 1}}[/tex]
The value of x is 1
---------------------------------------------------------------------
2. [tex] \sf{ \frac{2}{6} = \frac{2n + 8}{n - 1}} [/tex]
Do cross multiplication
[tex] \dashrightarrow{ \sf{2(n - 1) = 6(2n + 8)}}[/tex]
Distribute 2 through the parentheses
Similarly, distribute 6 through the parentheses
[tex] \dashrightarrow{ \sf{2n - 2 = 12n + 48}}[/tex]
Move 12n to left hand side and change it's sign
Similarly, move 48 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{2n - 12n = 48 + 2}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{ - 10n = 48 + 2}}[/tex]
Add the numbers : 48 and 2
[tex] \dashrightarrow{ \sf{ - 10n = 50}}[/tex]
Divide both sides by -10
[tex] \dashrightarrow{ \sf{ \frac{ - 10n}{ - 10} = \frac{50}{ - 10} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{n = - 5}}[/tex]
The value of n is -5 .
Hope I helped!
Best regards! :D
The complement of an angle is 10 less than 4 times the angle itself. What is the measure of the angle and its complement?
Answer:
Below.
Step-by-step explanation:
If the angle is x degrees then its complement is 90-x degrees.
So 90-x = 4x - 10
90 + 10 = 4x + x
5x = 100
x = 20.
and the complement is 90-20 = 70.
Step 1: 4r +5 = 7
Step 2: 4x = 2
1
Step 3: x = }
1 2
The property that was used in step 1 was the
The property that was used in step 2 was the
The property that was used in step 3 was the
Answer:
1- r=.5
2- x=.5
Step-by-step explanation:
sorry my handwriting is bad
Find the least common multiple of 3, 6 and 15
Answer: 30
Step-by-step explanation:
*Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ..., 30
* Multiples of 6: 6, 12, 18, 24, 30
* Multiples of 15: 15, 30
a cab company charge s a flat rate of $2 plus and additional $0.50 for every mile traveled when Sara arrived at her destination her cab fare $7.50 write and solve and equation to determine how many miles sara traveled
Enter the decimal 0.56 as a fraction in simplest form. The simplest form of the decimal 0.56 as a fraction is
Answer:
7/25
Step-by-step explanation:
0.56 move two times to get rid of the point that will give you 56/100 divide by an digit that can go equally in both of them to the lowest form start from 2
black panther ran 567.6km to the east 2.3 hours then turned around and ran 221.8km to the west in 1.2 hours. what was his average velocity during the trip in km/h?
Answer:
98.8 km/h
Step-by-step explanation:
Given that:
Distance traveled towards east, [tex]D_1[/tex] = 567.6 km
Time taken towards east, [tex]t_1[/tex] = 2.3 hours
After turning back:
Distance traveled towards west, [tex]D_2[/tex] = 221.8 km
Time taken towards west, [tex]t_2[/tex] = 1.2 hours
To find:
Average Velocity during the trip in km/h = ?
Solution:
First of all, let us consider the image attached in the answer area:
Let the black panther runs to point I from G and the turns back to point H.
GI = 567.6 km
IH = 221.8 km
Formula for Average Velocity is given as:[tex]\text{Average Velocity= }\dfrac{\text{Displacement}}{\text{Total Time Taken}}[/tex]
Here, Displacement will be GI - IH = [tex]D_1-D_2[/tex] =567.6 - 221.8 = 345.8 km
Total time taken = t_1+t_2 = 2.3 + 1.2 = 3.5 hours
[tex]\text{Average Velocity= }\dfrac{345.8}{3.5} = \bold{98.8\ km/h }[/tex]
The answer is:
Average Velocity = 98.8 km/h
Identify the converse of the conditional statement below. If it is a shirt, then it has sleeves. Sleeves are found on shirts. O Shirts have sleeves. If it is a shirt, then it does not have sleeves. If it has sleeves, then it is a shirt.
Continue each pattern with the next two numbers.
1.7,14,8,16,10,20,14,
Answer:
7, 14, 8, 16, 10, 20, 14, 28, 22...
7 times 2 is 14, 8 times 2 is 16, 10 times 2 is 20, and so on.
hope this helps
I NEED HELP ON THIS!! Solve for y: 3(2x+5)+4y=3(y-2x)+10
Answer:
10
Step-by-step explanation:
Begin with x3 + y3 = 4 . Differentiate both sides of the equation, getting
D ( x3 + y3 ) = D ( 4 ) ,
D ( x3 ) + D ( y3 ) = D ( 4 ) ,
(Remember to use the chain rule on D ( y3 ) .)
3x2 + 3y2 y' = 0 ,
so that (Now solve for y' .)
3y2 y' = - 3x2 ,
.
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(WILL MARK BRAINLIEST PLEASE HELP!) Rule for reflecting 90, 180, 270, and 360 degrees clockwise (reflection not rotating please)
Answer:
Rotation of 90° (x, y) → ( ‐ y, x )
Rotation of 180° (x, y) → ( ‐ x, ‐ y )
Rotation of 270° (x, y) → ( y, ‐ x )
idk 360...
State a rule for multiplying and dividing unlike sign integers
Answer:
just multiply the absolute values and make them positive or negative
Step-by-step explanation:
for example:
2×2=4
-2×2=-4
Answer:
just multiply the absolute values and make them positive or negative
Step-by-step explanation:
for example:
2×2=4
-2×2=-4
3x-2 is less than or equal to -20
3x - 2 ≤ -20
Add 2 to both sides:
3x ≤ -18
Divide both sides by 3:
x ≤ -6
Please help if you can. Mandy used the input and output in this table to write ratios. She concluded that because they are not all equivalent, this is not a proportional relationship. Is she correct? Explain.
Answer:
he last ratio is written incorrectly.
Mandy reversed the input and output in the numerator and denominator.
The correct ratio is 50/10.
The relationship is proportional.
w(n)=n-1; find w-(4)
Answer:5
Step-by-step explanation:
w(n)=4-1
=5
Sebastian compra una bicicleta en $8562; una pantalla de tv. Que cuesta el doble de la bicicleta y un refrigerador que cuesta $ 1500 más que el doble de la tv. ¿Cuánto gastó en total.?
Answer:
$61.434
Step-by-step explanation:
Teniendo en cuenta que el enunciado señala que la pantalla de tv cuesta el doble de la bicicleta, debes multiplicar el valor de la bicicleta por 2 para encontrar su precio:
Precio pantalla de tv=$8.562*2=$17.124
Además, el enunciado señala que el refrigerador cuesta $1.500 más que el doble de la tv, por lo cual para encontrar su precio debes multiplicar el valor de la tv por 2 y sumarle $1500:
Precio del refrigerador=($17.124*2)+$1.500
Precio del refrigerador=$34.248+$1.500
Precio del refrigerador=$35.748
Finalmente, el gasto total es igual a la suma de los precios de la bicicleta, la tv y el refrigerador:
$8.562+$17.124+$35.748=$61.434
De acuerdo a esto, la respuesta es que Sebastian gastó $61.434.
A store purchased an emerald pendant and marked it up 100% from the original cost of
$465. A week later, the store placed the emerald pendant on sale for 20% off. What was the
discount price?
If someone can guess whether I live in an apartment condo or house? Also, what floors do I have? 3, 2, and 4. Choose ALSO, I'll mark as brainliest
Answer:
house 3 floors
Step-by-step explanation:
i'm totally guessing i'm most likely wrong
How to find midpoint
Answer:
Midpoint of a Line Segment
Step-by-step explanation:
Add both "x" coordinates, divide by 2.
Add both "y" coordinates, divide by 2.
How do you do diamond problems
Please help is due in 15mins
Answer:
40. neither
41. Perpendicular
42. Parallel
43. y= -4x+1
44. 2x-y=5
45. y=-3/2x-2
46. -1/4x+y=5
Step-by-step explanation:
I need a expression for the area of the shaded region.
Answer:
the shaded area= s²-2πr²
Step-by-step explanation:
you have 2 circles
Area of circle=πr²
2 circles=πr²+πr²=2πr²
the area of square=s*s=s²
the shaded area= s²-2πr²
What is the solution to -4y=28 (please explain)
Answer:
y=-7
Step-by-step explanation:
when you multiply a negative by a negative, it turns into a positive. -4 x -7 will equal 28, so y=-7, hope this helps