Answer:
The volume of only the cheese popcorn is 392.5 cubic inches.
Step-by-step explanation:
To determine the volume of only the cheese popcorn,
First, we will determine the volume of the cylindrical tin
The volume of a cylinder is given by
V = πr²h
Where V is the volume of the cylinder
π is a constant, (Take π = 3.14)
r is the radius of the cylinder
and h is the height of the cylinder
From the question, the tin is 10 inches in diameter and 15 inches tall.
Diameter = 10 inches, therefore, we can find radius
Radius = Diameter/2 = 10/2 = 5 inches
r = 5 inches
h = 15 inches
Now, putting the values into the equation, we get
V = 3.14 × 5² × 15
V = 1177.5 cubic inches
This is the volume of the cylindrical tin.
Since the cylindrical tin is divided into three equal sections of caramel, cheese, and buttered flavors, then the volume of only the cheese popcorn will be one-third of the total volume of the cylindrical tin.
∴ The volume of only the cheese popcorn = 1/3 × 1177.5 = 392.5 cubic inches
Hence, the volume of only the cheese popcorn is 392.5 cubic inches.
Answer ASAP please ?
Answer:
f(x)= (x+2)²
= x²+4+2x
then f(3) = 3²+4+2*3
= 9+4+6
add up the sum and here's your ans
find the inverse of f(x)= 5/6x +10
Answer:
f − 1 (x ) = x/6 + 5/ 6
Step-by-step explanation:
Determine whether the ratios are proportional.
10/12 , 15/18
Answer:
yes, these ratios are proportional.
Step-by-step explanation:
yes they are! proportional ratios are like equivalent fractions.
10/12 is equal to 5/6
15/18 is also equal to 5/6
Pleaseee helppppp 3-6
Step-by-step explanation:
Here is Slope-Intercept Form for a line: y=mx+b
m is the slope
b is the y intercept
The y intercept is basically the point on the y axis where the line touches.
I will do #3 for you.
Let's first look for the y intercept. We can see that the line touches the y axis at -4, so that's it.
Let's put it into our equation, plugging in -4 for b. This is what we have so far: y=mx-4
To complete this equation, we still need to find the slope, m.
To find it, look at the point where the y intercept is, and count how many units you need to go up or down the y axis, and then right or left the x axis to get to another point on the line. The slope is equal to the change in y ÷ the change in x.
So we see that there's another point on (-3, -2), so let's try to get there from the y intercept.
We need to move two units up and 3 to the left.
In terms of y, we went up +2, and in terms of x, we went down -3
So our slope is 2/-3 or -2/3.
Now that we have our slope (m) and y intercept (b), we can plug it into out Slope-Intercept Equation, plugging in -2/3 for m:
y=-2/3x-4.
We don't need to find x or y. This is our answer for 3. Using the same method, you should be able to find the equations for the rest of the graphs. Good luck.
help please i don’t know which one it is
Answer:
D
Step-by-step explanation:
The formula matches up with the sequence. If you want to find f2 you look to f1 which is 8. Then you subtract by 2. This means to get f1, f0 would have to be 10 because 10-2 is 8.
given a triangle which angle A=72 degrees, B=27. what would be the value for angle C
Answer:
81°
Step-by-step explanation:
add both and subtract answer from 180
72+27=99
180-99=81
all 3 angles in a triangle always add up to 180°
hope this helps <3
Lin rode her bike 2 miles in 8 minutes. How many miles did she go in 4
minutes?
Answer:
1 mile: 4 minutes
Step-by-step explanation:
This problem can be expressed with a simple ratio: 2:8
Now, thankfully the numbers are even so we just need to simplify the ratio to get our answer. Ratios work like fractions in that manner. So we just need to divide both sides by 2 to get the _:4 result.
This gives us a ratio of 1:4. Therefore, Lin travelled 1 mile in 4 minutes.
0.15x-0.6 pls I need it quick
Answer:
The inverse is f^-1 (x) = 6.6x + 4
Factored is 0.15 (x - 4)
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D
A garden table and a bench cost $600 combined.
The cost of the garden table is three times the cost of the bench.
What is the cost of the bench?
Answer:
$150
Step-by-step explanation:
A garden table and a bench together will cost $600. The actual values of the garden table and the bend are not given, but we know that the cost of a garden table will cost three times more than the bench.
Let [tex]x[/tex] = the cost of the bench.
Again, since the cost of the garden table is three times the cost of the bench ([tex]x[/tex]), we can represent the garden table as three times [tex]x[/tex] ([tex]3x[/tex]). These two terms will equal $600 when added, so let's formulate an equation:
[tex]3x+x=600[/tex]
Combine like terms:
[tex]4x=600[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]4[/tex]:
[tex]x=150[/tex]
_
Check your work by substituting [tex]150[/tex] into the original equation:
[tex]3(150)+(150)=600[/tex]
[tex]450+150=600[/tex]
[tex]600=600[/tex]
Our answer is correct!
( Will give brainliest to whoever answers the question correctly)
Answer:
The answer is 70
Step-by-step explanation:
Answer:
[tex]\Large \boxed{\sf 70}[/tex]
Step-by-step explanation:
a. Substitute d = 500 in the formula
[tex]\displaystyle s=\sqrt{9.8 \times 500} =70[/tex]
b. As the depth decreases, the speed of the tsunami decreases because both quantities are directly proportional.
How much simple interest would $940 earn in 15 months at an interest rate of 2.99%?
Answer:
$975.13
Step-by-step explanation:
What is the slope of a line which passes through the points (-6, 4) and (4, 6)?
A) 5
B)1/5
C)2
D)1/2
Answer:
1/5
Step-by-step explanation:
To find the slope between two points, we use the formula
m = ( y2-y1)/(x2-x1)
= ( 6-4)/(4 - -6)
= ( 6-4)/(4+6)
= 2/10
= 1/5
A square window has an area of x2 + 22x + 121 square feet. Find the length of one side of the square.
A) (x + 11) feet
B) (x – 11) feet
C) (x – 6) feet
D) (x + 6) feet
x + 11 ft
Step-by-step explanation:
x² + 22x + 121 ft² = area of square
x² + 11x + 11x + 121 ft² = side²
x(x + 11) + 11(x + 11) ft² = side²
(x + 11)(x + 11) ft² = side²
(x + 11)² ft² = side²
x + 11 ft = side²
Drag the tiles to the correct boxes to complete the pairs.
Simplify the inequalities and match them with the graphs that represent them.
arrowRight
arrowRight
arrowRight
arrowRight
3x > 15
2x > 12
x + 1 < 8
7x < 42
i need answers asp
Answer:
Step-by-step explanation:
3x > 15 2x > 12 x + 1 < 8 7x < 42
/3 /3 /2 /2 -1 -1 /7 /7
x > 5 x > 6 x < 7 x < 6
5. Why Lily loves her cheese so much?
a. It gives her strong bones.
b. It makes her happy.
c. It makes her sad.
Answer:
b. It makes her happy.it is % correct answer.Thank you ☺️☺️
What is the answer for this one
Answer:
a
Step-by-step explanation:
Answer:
The answer should be a I hope this helps
g(x)=-7x+4 solve for (-5)
Answer:
39
Step-by-step explanation:
g(-5)=-7×(-5)+4=35+4=39
Answer:
g(-5) = 39
Step-by-step explanation:
g(x) = -7x + 4
g(-5) = - 7* (-5) + 4
= 35 + 4
= 39
What is the greatest common factor of 45, 50, 84?
Answer:
the greatest common factor is B - 1
Step-by-step explanation:
not 5 because 85 doesn't end with 0 or 5
not 3 because 5+0 doesn't equal a multiple of 3
not 2 because 45 is odd
not 0 because that's never an answer
Express the following equation in slope-Intercept form: 9x - 4y=-36
Answer:
y= 9/4x+9
Step-by-step explanation:
you write the 9/4 as a fraction it looks a little confusing I don't have an actual fraction symbol so it's 9/4 then x plus 9 :)
Solving equations with Fractions?
Answer:
basically just multiply the fractions by a common number until you have whole numbers, then solve like normal
Step-by-step explanation:
42 is 84% of what number
Answer:
50
Step-by-step explanation:
Because 84% out of 50 is 42
w=r-47/-4
if w=8 what is the value of r
Answer:
r=-15/4
Step-by-step explanation:
A 112-inch pipe is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
Let the smaller piece be x .
Then the larger angle will be = 3x
An equation to find the length of each of the two pieces :-
[tex]x + 3x = 112[/tex]
[tex]4x = 112[/tex]
[tex]x = \frac{112}{4} [/tex]
[tex]x = 28[/tex]
Which means :-
Length of the shorter piece = 28 inches
Length of the larger piece = 28 × 3 = 84 inches
Therefore , the length of the shorter piece = 28 inches .
Ally works in a shop for 18$ per hour. She is not allowed to work more than 40 hours a week but has to work atleast 20 hours. State a reasonable domain for this problem
Answer:
Hi there!
The domain is:
20<=x<=40
Step-by-step explanation:
18$ per hour
x is hours worked
The domain is:
20<=x<=40
This says that:
x=>20
x<=40
Which fits the problem!
Hope this helps
What is the factor 4x^2-9
Answer:Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
a
2
-
b
2
=
(
a
+
b
)
(
a
-
b
)
where
a
=
2
x
a
=
2
x
and
b
=
3
b
=
3
.
(
2
x
+
3
)
(
2
x
−
3
)
Step-by-step explanation:
Help me with this problem
2x-18=-10
Answer:
Step-by-step explanation:
18 is negative so add 18 to both sides
2x=8
so the answer would be 4 because
4 x 2= positive 8
hope that helped!!
Write the equation of the line whose slope and the point through which it passes are given. Express
the equation in point-slope form.
(4,0) and slope m=-7
Answer:
[tex]y-0=-7(x-4)[/tex]
Step-by-step explanation:
Equation of a line
The point-slope form of the equation of a line is:
[tex]y-k=m(x-h)[/tex]
Where m is the slope and (h,k) is a point through which the line passes.
The line passes through the point (4,0) and has a slope of -7. The equation of the line is:
[tex]y-0=-7(x-4)[/tex]
This is the point-slope form of the line.
Riley ordered a snow cone with 4 flavors.
Caleb ordered his with 2 flavors,
How many fewer flavors did Caleb order?
fewer flavors
-19+-16+19--16x5=what
Need Help! 50 Points
Answer:
Step-by-step explanation:
you have to solve for x i think
Answer: SOLVE FOR X !
Step-by-step explanation:
