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FrozenT [24]
3 years ago
14

Which expression is equivalent to 4.8+2.2w-1.4w+2.4

Mathematics
1 answer:
OverLord2011 [107]3 years ago
3 0

Answer:

7.2+0.8w

Step-by-step explanation:

Add the constants to get 7.2

sub variables to get 0.8w

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Please help!! I’m not sure how to answer this question!!
nlexa [21]
<h3>Answer:  9V</h3>

=============================================================

Reason:

The volume expression of a cone with radius r and height h is

\frac{1}{3}\pi*r^2*h

Let's plug in the given height h = 12 and we'd get

\frac{1}{3}\pi*r^2*h\\\\\frac{1}{3}\pi*r^2*12\\\\\left(\frac{1}{3}*12\right)\pi*r^2\\\\4\pi*r^2\\\\

This is the volume of the first cone. We're told the first cone has a volume of V, so we can say V = 4\pi r^2

We can't find the actual numeric volume because we don't know what value replaces r. So we leave it as is.

The second cone has the same height (h = 12) but the radius is now 3 times in size. Instead of r, we use 3r

Replace every copy of r with 3r. Then simplify

4\pi*r^2\\\\4\pi*(3r)^2\\\\4\pi*9r^2\\\\9(4\pi r^2)\\\\9V\\\\

The radius tripled which results in a volume that's 9 times bigger.

3 0
2 years ago
Find the parallel and perpendicular slope of a line if linear equation is 7y=20(x-3) Slope (Parallel) is ____ Slope (Perpendicul
yKpoI14uk [10]

Answer:

The parallel line has slope \frac{20}{7}

The perpendicular line has slope -\frac{7}{20}

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope.

Parallel lines:

Parallel lines have the same slope.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

We have the following line:

7y = 20(x-3)

Placing it in the general format

7y = 20x - 60

y = \frac{20x}{7} - \frac{60}{7}

So this line has slope \frac{20}{7}

Parallel line:

Same slope, so the parallel line has slope \frac{20}{7}

Perpendicular line:

Multiplication of the slopes is -1. So

\frac{20m}{7} = -1

20m = -7

m = -\frac{7}{20}

The perpendicular line has slope -\frac{7}{20}

6 0
3 years ago
Ozzie filled up the gas tank of his truck and headed out on a road trip. The x- axis on the graph below shows the number of mile
asambeis [7]

Okay, here we have this:

Considering the provided information, we are going to find the x- and y- intercepts and explain its meaning. So we obtain the following:

Since the x-intercept is the point where the Graph intersects the x-axis (y=0) and the y-intercept is the point where the Graph intersects the y-axis (x=0), we have that:

x-intercept=(300, 0)

y-intercept=(0, 16)

Since the y-axis represents the number of gallons, and the x-axis time, then the y-intercept indicates that when filling the tank it was left with 16 gallons, and the x-intercept indicates that when emptying the tank had traveled 300 miles.

3 0
1 year ago
Jacks age is three years more than twice the age oh his younger brother, Jimmy. If the sum of their ages is at most 18, find the
Troyanec [42]
Jack would be 13 and jimmy would be 5 from what i found
5 0
3 years ago
mr. renato had $150 in his bank account. he deposited $50. acuple of days later he withdrew $20. a week later he deposited $75 .
Andrew [12]
He starts out with 150. 
150+ 50+200
200-20=180
180+75= 255
255-100= 155
After all the transactions, he had $155.
8 0
4 years ago
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