Divide both sides by the numeric factor on the left side, then solve.
x = 2
an ice-cream novelty item consists of a cup in the shape of a 4-inch-tall frustum of a right circular cone, with a 2-inch-diameter base at the bottom and a 4-inch-diameter base at the top, packed solid with ice cream, together with a solid cone of ice cream of height 4 inches, whose base, at the bottom, is the top base of the frustum. what is the total volume of the ice cream, in cubic inches?
The total volume of the ice cream, in cubic inches, is [tex]\frac{44\pi }{3}[/tex].
What is Volume?
Cubic capacity is the measurement of a three-dimensional object's volume in cubic units (such as inches, quarts, or centimeters). The volume that material takes up in a given space.Volume, which is measured in cubic units, is the 3-dimensional region occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume.With a radius of 2 and a height of 4, the top cone has a volume of
[tex]\frac{1}{3} \pi (2)^2X4[/tex].
The frustum is created by subtracting a tiny cone with a radius of 1 and a height of 4 from a large cone with a radius of 2 and a height of 8, giving it a volume of [tex]\frac{1}{3} \pi (2)^2X8-\frac{1}{3} \pi (1)^2X4[/tex]
By combining, we have,
[tex]\frac{1}{3} \pi (16+32-4)\\\\E=\frac{44\pi }{3}[/tex].
The total volume of the ice cream, in cubic inches, is [tex]\frac{44\pi }{3}[/tex].
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A clothing store had 30 jackets. If j represents the number of jackets the store then sold, which expression can be used to determine the total number of jackets that were not sold?
A 30j
B 30/j
C 30-j
D 30+j
Answer:
30-j
Step-by-step explanation:
Start with 30, the store sold J
30-j is what the store would have left
Which of the following is a step in simplifying the expression ?
Answer:
1
Step-by-step explanation:
solve for x - 4 = 1/4(8x - 16)
Hello!
[tex]\large\boxed{x = 0}[/tex]
x - 4 = 1/4(8x - 16)
Distribute the 1/4:
x - 4 = 1/4(8x) + 1/4(-16)
x - 4 = 2x - 4
Subtract x from both sides:
x - x - 4 = 2x - x - 4
-4 = x - 4
Add 4 to both sides:
-4 + 4 = x - 4 + 4
0 = x
⠀⠀⠀⠀
The value of x is 0
⠀⠀⠀
______________________
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➤ How to solve ?⠀⠀⠀⠀
That's quite easy but you need to recall the BODMAS rule .
⠀⠀⠀⠀
BODMAS rule states the correct sequence to solve an equation . First we need to solve the bracket part then solve if any of is present moving further to division then multiplication carrying with addition atlast subtraction
⠀⠀⠀⠀
In this equation we will solve the bracket then we will apply further BODMAS rule
⠀⠀⠀⠀
━━━━━━━━━━━━━━━━━
SolutiOn :➠ x - 4 = 1 / 4 ( 8x - 16 )
➠ 4 ( x - 4 ) = 8x - 16
⠀⠀⠀⠀
➠ 4 ( x - 4 ) = 4 ( 2x - 4 )
⠀⠀⠀⠀
➠ x - 4 = 2x - 4
Now, we will bring the variable on left hand side and constants on right hand side
➠ x - 2x = - 4 + 4
➠ -x = 0
➠ x = -0
➠ x = 0
∴ The value of x is 0 .
━━━━━━━━━━━━━━━━━
Please help! I will mark brainliest!
Answer:
C. 9.6ft
D. Angle M
Step-by-step explanation:
Height of smaller surfboard = [tex]\frac{12}{4}[/tex] × 3.2ft
= 9.6ft
If you flip ABCD over, the positions of the angles that are corresponding to each other would be the same, so the angle that would correspond with Angle D would be Angle M since both would be at the top right.
On a map, 4 inches equals 160 miles. The distance that a family travels is 6.5 inches on the map. Represent the scale as two different ratios. What is the actual distance the family travels?
Answer:
260 miles.
Step-by-step explanation:
First, find the unit rate (the rate which the numerator is one but the fracvtion is equivilant), in this case the unit rate would be 1/40, or 1:40. Replace the 1 in the ratio ti=o get 6.5:x. Find x. We know that the unit rate is 1:40, so multiply 6.5 by 40 to get 260. Hope this helps!
Write and equation in slope-intercept form of the line with slope -1/2 that contains the point (-4,-3)
Answer:
y=-1/2x-5
Step-by-step explanation:
Well we know that the slope is -1/2 so we can write the equation like this:
y=-1/2x+b (This is because of y=mx+b) (m is slope) (b is y-intercept)
Now we can replace the y and x with -4 and -3 because of (x,y). (-4,-3) x is -4 and y is -3
-3=-1/2(-4)+b
-3=2+b
Subtract 2 on both side:
-2-3=2-2+b
-5=b
Answer:
y=-1/2x-5
Hope this helps!
need help asap
will mark you brainliest
Answer:
5^9
Step-by-step explanation:
Answer:
wow
Step-by-step explanation:
7. The points (3,5) and (2, y) are on a line with a slope of 3. Find y.
Answer:
We get value of y: y = 2
Step-by-step explanation:
The points (3,5) and (2, y) are on a line with a slope of 3. Find y.
We can find y using formula of finding slope of a line.
The formula is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=3, y_1=5, x_2=2, y_2=y[/tex] and Slope = 3
Putting values and finding y
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\3=\frac{y-5}{2-3}\\3=\frac{y-5}{-1}\\-1(3)=y-5\\-3=y-5\\y=-3+5\\y=2[/tex]
So, we get value of y: y = 2
Which list shows the lengths from shortest to longest ?
A. 0.2, 1/4, 3/8, 0.8, 7/8
B. 0.2, 1/4, 3/8, 7/8, 0.8
C. 1/4, 0.2, 3/8, 7/8, 0.8
D. 0.8, 1/4, 3/8, 0.2, 7/8
Answer:
It’s a
Step-by-step explanation:
Tell me if I’m wrong
a group of college students eager to get to florida on a spring break drove the 750- mi trip with only minimum stops. they computed their average speed for the trip to be 55.0 mi/h. how many hours did the trip take?
The trip took 13 hrs . and 6 min .
Given : Distance of trip from starting point to end point = 750 mi
Avg . speed for trip = 55 mi / h
To find : how many hours did the trip take
Using formula for speed :
speed = distance / time
Substituting values in above formula ,
and let time = t .
55 = 750 / t
t = 750 / 55
t = 13 . 63
≈ 13 hrs . 6 min .
Hence , the trip took 13 hours approx .
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Paulie caught two fish. One weighed 1.43 pounds and the other weighed 5.7 pounds. Janice caught on 7.09 pound fish. Who caught more pounds of fish?
Answer:
Paulie
Step-by-step explanation:
1.43 +
5.70
___
7.13 > 7.09
:D
Consider the table of the powers of 8. A 1-column table with 6 rows. Column 1 is labeled Power of 8 with entries 8 cubed = 512, 8 squared = 64, 8 Superscript 1 = 8, 8 Superscript 0 = a, 8 Superscript negative 1 = b, 8 Superscript negative 2 = c.
Answer:
What is the pattern as the exponents decrease?
✔ divided by 8
What is the value of each variable in the table?
a =
✔ 1
b =
✔ 1/8
c =
✔ 1/64
Step-by-step explanation:
Brainliest pls
Which of the following is equal to the absolute value of 7?
the distance between 1 and 7 on a number line
the distance between –3 and –4 on a number line
the distance between 7 and zero on a number line
the distance between –7 and 7 on a number line
Answer:
the distance between 7 and zero
Step-by-step explanation:
the absolute value of a number is just the number, so 7=7 and it would also work if it was he distance between -7 and 0
Solve 2(x+3) = x - 4
g(3)= answer khan academy
Answer:
g(3) = 4
Step-by-step explanation:
for g(3) = ?......3 is the x value. So you would want to look for the point in which the x value would be 3 and then look at what the Y value would be for that point with the x value 3. The Y value is your answer.
hope this helps.
If the simple interest on $1,000 for 7 years is $350, then what is the interest rate?
Answer:
24,500
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 350%/100 = 3.5 per year,
then, solving our equation
I = 1000 × 3.5 × 7 = 24500
I = $ 24,500.00
The simple interest accumulated
on a principal of $ 1,000.00
at a rate of 350% per year
for 7 years is $ 24,500.00.
shane measured a farm and made a scale drawing. in real life, the goat pen is 6 meters wide. it is 4 centimeters wide in the drawing. what scale did shane use?
If the goat pen is 6 meters wide and it is 4 centimeter wide in the drawing, then Shane used 150:1 scale for drawing
Scaling is a linear transformation that enlarges or diminishes objects.
Given,
In drawing,
6 meter = 4 centimeter
600 centimeter= 4 centimeter
Divide both side by 4
150 centimeter = 1 centimeter
Hence, if the goat pen is 6 meters wide and it is 4 centimeter wide in the drawing, then Shane used 150:1 scale for drawing
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I will give you the brainlist, a thanks, and a 5 stars if you answer!
Answer:
5. C They are supplementary
the slope of graph below is shown? A-5/4 , B-5/4 , C-3/4, D-3?
12 members are at a conference. they all shook hands with each other both before and after the meeting. how many handshake's were there?
If there are 12 members at a conference and they all shook hands with each other both before and after the meeting, then there were 132 handshakes.
The number of handshakes before and after the meeting between 12 members can be found by using the combination formula.
The combination formula can be given by :
Number of combinations = n! / r! ( n - r)!
Here, n = total number of items in the set
r = number of choosing items from the set
In this problem, n = 12 and r =2 for finding the number of handshakes before the meeting
Therefore,
number of combinations = 12! / 2! ( 12 - 2)!
number of combinations = 12! / 10! × 2!
number of combinations = 66
Hence, there were 66 handshakes before the meeting. To find the number of handshakes both before and after the meeting:
number of total handshakes = 66 × 2 = 132
Hence the number of handshakes before and after the meeting is equal to 132.
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Evaluate. Write your answer as a fraction or mixed number in simplest form. -7/2 divided by 1/2+1}=
The simplest from of this friction is -7/3
As per the question
The equation is
-7/2
/
{1/2+1}
We have to friction this in a simple form
-7/2 devided by 1/2+1(1/2+1)=3/2
=-7/2
/
3/2
=-7/2/3/2
=-7/2×2/3
=-7/3
The simplest friction of this equation is -7/3
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The cost y (in dollars) of renting a segway for x hours is y=24x+6. Find the initial fee and the cost per hour.
Answer:
(x - 6) ÷ 24
Step-by-step explanation:
Simplify and get the answer
Can someone help me please
Answer:
it really depends on what type of triangle it is but i would go with 12
Which point on the graph best represents the location of (-45. - 7)?
ASAP
Answer:
I am sure it is the point N. I apologize if im wrong but the image quality is horrible. If I am wrong then it is O.
candy and tim share a paper route. it takes candy 70 min to deliver all the papers, and it takes tim 80 min. how long does it take the two when they work together?
It will take 37.3 minutes if they will work together.
What is the time?Time is the seemingly irreversible succession of existence and events that occur from the past, through the present, and into the future. It is a component quantity of various measurements used to sequence events, compare the duration or intervals between events, and quantify rates of change of quantities in material reality or conscious experience.To find how long it takes the two when they work together:
Let x represent the amount of time it takes them to complete the paper route together.This means that in one minute, they can complete 1/x of the paper route.Candy can complete 1/70th of the route in 1 minute and Tim can complete 1/80th of the route in 1 minute.The part Candy can do in one minute + the part-time can do in one-minute equals the part they can do together in one minute:1/70 + 1/80 = 1/xBecause the LCD has a resolution of 560x, multiply both sides of the equation by 560x:
(560x) · (1/70) + (560x) · (1/80) = (560x) · (1/x)8x + 7x = 56015x = 560x = 560/15 = 37.3 minutes.Therefore, it will take 37.3 minutes if they will work together.
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Grace measured a line to be 15.6 inches long. If the actual length of the line is 15.3
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?
The percentage error of the measurement, to the nearest tenth of a percent 2.6%.
Given, Grace measured a line to be 15.6 inches long.
The actual length of the line is 15.3 inches.
Percentage error of the measurement = ?
Error in the measurement = 15.6 - 15.3
= 0.3 inches
Percentage error = 0.4 ÷ 15.3
= 0.02614 × 100
= 2.6%
The percentage error = 2.6%
Hence the percentage error is 2.6% .
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please help me quickly! I WILL GIVE BRAINLIEST. need to answer both questions
Answer:
30-17=13 so 2x13 is 26, that is the answer for first but I dont know the second, sorry Step-by-step explanation:
Jenny spends $1.15 a day for lunch. Her cafeteria lunch account has a balance of $36.80. Write an equation that can be used to determine the maximum number of days, d, that she can eat without adding money to her lunch account.
Answer:
Balance Divided By Lunch Cost
Step-by-step explanation:
Divide $36.80 by $1.15 to receive the answer 32. She can eat for 32 days.
The value -2 is a lower bound for the zeros of the function shown below.
f(x) = 4x^2 – 12x^2 – x+15
A. True
B. False