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3 years ago

Which number line represent the solution set for the inequality 3(8-4x)<6(x-5)

Mathematics

1 answer:

quester [9]3 years ago

6 0

Eliminating parentheses, you have
24 -12x < 6x -30
Adding 30 +12x, you have
54 < 18x
Dividing by 18 gives
3 < x

The appropriate number line is the one that shows the solution set as all values of x that are greater than 3.

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$18.39 is what percent of $329.64?

pickupchik [31]

18.39 is 5.58% of 329.64.

We have to find that 18.39 is what percent of 120?

First, make the assumption that 329.64 is 100% as it is our output value.

We next represent the value we seek with x, therefore

100% = 329.64

And, x% = 18.39

Now, we get pair of simple equations

100% = 329.64 ........(1)

x% = 18.39 ........(2)

Now by simply dividing equation 1 by equation 2 and note of the fact that the LHS of both equations have the same unit (%);

100% / x% = 329.64 / 18.39

Taking the reciprocal of both sides, we get

x% / 100% = 18.39 / 329.64

or x = 5.58%

Hence, 18.39 is 5.58% of 329.64.

To learn more about percentages, visit: brainly.com/question/14319057

#SPJ9

6 0

2 years ago

A hot air balloon is moving at a speed of 10 meters/second in the +x direction. The balloonist throws a brass ball with a veloci

irakobra [83]

Answer:240 m

Step-by-step explanation:

Given Balloon is going towards positive x direction with a speed of 10 m/s

and balloonist throw the ball with -2 m/s with respect to himself

thus absolute ball velocity is 12 m/s

As there is no horizontal force in x direction thus distance covered by ball in 20 sec is

R= $12\times 20$ =240 m

5 0

3 years ago

Read 2 more answers

Jenny drove her tractor down a row of her cornfield. She drove at constant velocity of 34metersperminute down the row. The row w

tamaranim1 [39]

Answer:

5 mins

Step-by-step explanation:

680/4

=170 meters (quarter of 680m)

170/34

=5 mins

7 0

3 years ago

Read 2 more answers

You are curious about the amount of coffee that the giant fountain cup could

Anni [7]

Answer:

$Volume = 21.232\ gallon$

Step-by-step explanation:

Given

$h = 8$

$d_{top} = 6$ --- diameter at the top

$d_{base} = 4$ --- diameter at the base

$V = (\frac{\pi h}{3}) * ((r_{base}^2 + (r_{base} * (r_{top}) + (r_{top}^2)$

Required

The volume of the cup in gallons

We have:

$d_{top} = 6$

$d_{base} = 4$

Radius is calculated as:

$r = 0.5 * d$

So:

$r_{top} = 0.5 * 6 = 3$

$r_{base} = 0.5 * 4 = 2$

So, we have:

$V = (\frac{\pi h}{3}) * ((r_{base}^2 + (r_{base} * (r_{top}) + (r_{top}^2)$

$V = (\frac{22/7 * 8}{3}) * (2^2 + 2 * 3 + 3^2)$

$V = (\frac{25.143}{3}) * (4 + 6+9)$

$V = 8.381 * 19$

$V = 159.239$

The volume is

$V = 159.239ft^3$

We have:

$7.5 gallon = 1ft^3$

So:

$Volume = \frac{159.239}{7.5}gallon$

$Volume = 21.232\ gallon$

6 0

3 years ago

Write 56 1/4 percent as a fraction in simplest form

barxatty [35]

<span>The correct answer is 9/16.

Explanation<span>:
56 1/4 = 56.25
56.25%=56.25/100.

We can multiply the top and bottom by 100 to move the decimal two places to the right (and not have a decimal within a fraction):
56.25/100 * 100/100=5625/10000.

Since the top ends in 5 and the bottom ends in 0, both are divisible by 5, which gives us 1125/2000.

Again both are divisible by 5, which gives us 225/400.

Yet again both are divisible by 5, so we have 45/80.

And again, both are divisible by 5, which gives us 9/16.</span></span>

5 0

4 years ago