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jolli1 [7]
2 years ago
15

A cylinder has a volume of 105 cubic centimeters. What is the volume of a cone with the same base and height?

Mathematics
1 answer:
Andrei [34K]2 years ago
4 0

Answer:

35 cu cm

Step-by-step explanation:

Volume is 1/3 the volume of the cylinder.  So, (1/3)(105) = 35 cu cm

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Write an equation for the line passing through the points (0,3) and (-9,0) using Y=mx+b format.
Valentin [98]

Answer:

y = \frac{1}{3}x + 3

Step-by-step explanation:

y = mx + b

y = mx + 3 (the y-intercept was given (0,3))

\frac{3 - 0}{0 + 9} = \frac{3}{9} = \frac{1}{3}

y = \frac{1}{3}x + 3

7 0
3 years ago
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 l
slamgirl [31]

Answer:

She will leave an extra video game which weighs 0.25lb

Step-by-step explanation:

Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?

Solution:

Weight of the items

hairdryer = 1.25 lb

hand-held video game = 0.6 lb

an extra video game = 0.25 lb music player = 0.4 lb

The total weight of the items

= 1.25lb + 0.25lb + 0.6lb + 0.4lb

= 2.5 lb.

Total weight - required weight

= 2.5lb - 2.25lb

= 0.25lb

2.5lb is 0.25lb greater than 2.25lb

Therefore, not all items can be added.

She has to leave out an item equivalent to 0.25lb

Item equivalent to 0.25lb is the extra video game

If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.

5 0
3 years ago
3x^2-4x+1, match the following
il63 [147K]

Answer:

x = variable

3 = coefficient

1 = constant

3x^2-4x+1 = algebraic expression

2 = degree

Step-by-step explanation:

variables are typically the letters in equations (usually x and y)

coefficients are the numbers attached to the variables

constants don't have any variables attached

algebraic expressions are the full expression

degrees are the small numbers in the top right corners on either constants, variables or coefficients

Hope this helps!

8 0
3 years ago
According to a college survey 32% of all students work fulltime. Find the mean for the number of students who work full time in
VLD [36.1K]

Answer:

mean is equal to 5.12

Step-by-step explanation:

<em>We are given that 32% of college students work fulltime. We have to find the mean for the number of student s who are working full time in a sample of 16</em>

success rate, p = 32% = 0.32

Sample size is denoted as n = 16

The forumla of mean is given as

mean = sample size × success rate

mean = n × p

         = 16 × 0.32

         = 5.12

3 0
2 years ago
6. Evaluate the expression for the value of the variable. 1/3x + 5 x = -6
taurus [48]

Answer:

\frac{1}{3} x + 5x =  - 6 \\  \frac{16}{3} x =  - 6 \\ x = \frac{ - 6}{ \frac{16}{3} }  \\ x =  \frac{ - 9}{8}

5 0
3 years ago
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