Help don’t understand

What is the answer to: 3(3x-4)-2(2x-1)

Tamiku [17]

Answer:

= 5x -10

Step-by-step explanation:

=(3)(3x)+(3)(−4)+(−2)(2x)+(−2)(−1)

=9x+−12+−4x+2

Combine Like Terms:

=9x+−12+−4x+2

=(9x+−4x)+(−12+2)

=5x+−10

3 0

3 years ago

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A university is building a new student center that is two- thirds the distance from the arts center to the residential complex.

Natasha2012 [34]

Answer:

$C = (\frac{21}{5},\frac{33}{5})$

Step-by-step explanation:

Given

Points: (1, 9) and (9, 3)

Ratio = 2/3

Required

Determine the coordinate of the center

Represent the ratio as ratio

$Ratio = 2:3$

The new coordinate can be calculated using

$C = (\frac{mx_2 + nx_1}{n + m},\frac{my_2 + ny_1}{n + m})$

Where

$(x_1,y_1) = (1, 9)$

$(x_2, y_2) = (9, 3)$

$m:n = 2:3$

Substitute these values in the equation above

$C = (\frac{2 * 9 + 3 * 1}{3 + 2},\frac{2 * 3 + 3 * 9}{2 + 3})$

$C = (\frac{18 + 3}{5},\frac{6 + 27}{5})$

$C = (\frac{21}{5},\frac{33}{5})$

Hence;

The coordinates of the new center is $C = (\frac{21}{5},\frac{33}{5})$

7 0

3 years ago

PLEASE HELP MEHH!! THANK YOUUUU

ki77a [65]

$\cfrac{3n+5}{7} = \cfrac{3n}{7}+ \cfrac{5}{7}$

4 0

3 years ago

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Use an algebraic equation to find the measures of the two angles described below. begin by letting x represent the degree measur

Lina20 [59]

Two angles are said to be supplement when their measure add up to 180 degrees.

Assume that the angle we are looking for is a and its supplement is s (I used s instead of x).

a + s = 180
a = 180 - s ......> equation I

We know that the measure of the angle is eight times greater than its supplement.
This means that:
a = 8s ......> equation II

Substitute by equation II in equation I to get s as follows:
180 - s = 8s
180 = 9s
s = 20 degrees

Substitute in equation I to get the measure of the angle as follows:
a = 180 - s = 180 - 20 = 160 degrees

Based on these calculations:
The measure of the angle is 160 degrees
The measure of its supplement is 20 degrees

4 0

3 years ago

the Student Government wants to sell magazines subscription to make a profit of at least $3,000. They make $1.25 per m magazine

IRINA_888 [86]

The student Government wants to make a profit of at least $3000 from a magazines sales. At least $3000 simply means the profit should be $3000 and above.

There profit is $1.25 per magazine(m) subscription sold.

Their expenses are as follows

advertisement in school = $100

advertisement in community = $150

let

m = number of magazine sold

profit = selling price - cost price

selling price

$1.25\times m=1.25m$

Cost price

$100+150=\text{\$}250$

Therefore,

$\begin{gathered} 1.25m-250\ge3000 \\ \text{divide through by 1.25} \\ \frac{1.25m}{1.25}-\frac{250}{1.25}\ge\frac{3000}{1.25} \\ m-200\ge2400 \end{gathered}$

8 0

1 year ago