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2 years ago

Select the correct answer. What is the greatest common factor of this expression? 12m + 18m2 A. 6m B. 6 C. 2m D. 2

Mathematics

2 answers:

ohaa [14]2 years ago

7 0

A. No matter what M is, it will correspond to the squared version of 18m

exis [7]2 years ago

7 0

Answer:

Step-by-step explanation:

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A group of 40 people went to the theme park. While there, each person bought popcorn. Regular bags of popcorn sold for $6 per ba

Y_Kistochka [10]

Answer:

17 regular popcorn bags and 23 super size bags.

Step-by-step explanation:

A group of 40 people went to the theme park. While there, each person bought popcorn.

Let the regular popcorn bags be = x

Let the super size bags be = y

$x+y=40$ ................(1)

Next equation becomes:

$6x+8y=286$ ...............(2)

Multiplying (1) by 6 : $6x+6y=240$

Now subtracting this from (2) we get,

$2y=46$

=> y = 23

And x = $40-23$

=> x = 17

So, there were 17 regular popcorn bags and 23 super size bags that the group bought.

4 0

2 years ago

Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?

fenix001 [56]

Answer: THE GRAPH IS ATTACHED.

Step-by-step explanation:

We know that the lines are:

$x + 3y=-3$

$y = \frac{1}{2} x + 1$

Solving for "y" from the first line, we get:

$3y=-x-3\\\\y=-\frac{x}{3}-1$

In order to graph them, we can find the x-intercepts and the y-intercepts.

For the line $x + 3y=-3$ the x-intercepts is:

$0=-\frac{x}{3}-1\\\\(1)(-3)=x\\\\x=-3$

And the y-intercept is:

$y=-\frac{0}{3}-1\\\\y=-1$

For the line $y=\frac{1}{2} x + 1$ the x-intercepts is:

$0=\frac{1}{2} x + 1\\\\-1(2)=x\\\\x=-2$

And the y-intercept is:

$y=\frac{1}{2} (0)+ 1\\\\y=1$

Now we can graph both lines, as you can observe in the image attached (The symbols and $>$ indicates that the lines must be dashed).

By definition, the solution is the intersection region of all the solutions in the system of inequalities.

6 0

2 years ago

Read 2 more answers

What is the constant of the polynomial 2x3 - 8x2 + 3x - 7

Firlakuza [10]

Answer:

-7

Step-by-step explanation:

A constant number is a number that contains no variables like x and y. The only constant in that problem is -7.

8 0

2 years ago

Andrei wants to fill a glass tank with marbles, and then fill the remaining space with water. WWW represents the volume of water

andre [41]

Answer:

32 Liters

Step-by-step explanation:

In the glass tank:

W = represents the volume of water Andrei uses (in liters)

n =Number of marbles

Given that: $W=32-0.05n$

The volume of the glass tank is the volume of the water in the tank plus the total volume of n marbles added.

Therefore:

$W+0.05n=32$

Volume of the tank =32 Liters

6 0

2 years ago

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In 1995, the total box office in U.S movie theaters was about $5.02 billion. From 1995 through 2008, the box office revenue incr

soldier1979 [14.2K]

Answer:

1.06 x $10^{10}$ (3sf)

Step-by-step explanation:

using compound interest formula A = P $(1+\frac{R}{100}) ^{n}$

from 95 to 08 is 13 yrs

Total Revenue = (5.02 x $10^{9}$ ) $(1 + \frac{5.9}{100}) ^{13}$ = 1.057 x $10^{10}$

6 0

2 years ago