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Norma-Jean [14]
3 years ago
13

Enter the solutions from least to greatest. (3x -6)(-x +3)=0

Mathematics
1 answer:
DiKsa [7]3 years ago
5 0

Answer:

x = 2, 3.

Step-by-step explanation:

<u>Since the equation equals 0, we can determine that:</u>

3x-6=0

-x+3=0

Let's solve 3x-6=0.

<u>Add 6 to both sides of the equation:</u>

3x=6

<u>Divide both sides by 3:</u>

x=2

Let's solve -x+3=0.

<u>Subtract 3 from both sides of the equation:</u>

-x=-3

<u>Divide by -1:</u>

x=3

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Tom has three times as many pencils as pens but has a total of 100 writing utensils. How many pencils does Tom have? How many pe
Genrish500 [490]

Answer:

There are 75 pencils and 25 pens.

Step-by-step explanation:

If Tom has three times as many pencils than pens then,

Pencils = 3(Pens)

If there are a total of 100 writing utensils then,

Pencils + Pens = 100

Substitute the word "pencils" in this equation to 3(Pens),

3(Pens) + Pens = 100

Now remember there is almost a 'hidden' one beside the word "Pens" so,

3Pens + 1Pens = 100

Add the two together,

4Pens = 100

Divide,

Pens = 25

Substitute 25 into the first equation,

Pencils = 3(25)

Pencils = 75

Thus, there are 75 pencils and 25 pens.

3 0
3 years ago
At the football game, 4 hamburgers and 6 soft drinks cost $34, and 4 hamburgers and 3 soft drinks cost $25. Which two equations
olga_2 [115]

Answer:

 4x+6y=34\\\\4x+3y=25

Step-by-step explanation:

Let be "x" the cost in dollars of a hamburger and "y" the cost in dollars of a soft drink.

The cost of 4 hamburguers can be represented with this expression:

4x

And the cost of 6 soft drinks  can be represented with this expression:

6y

Since the total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation:

4x+6y=34   <em>[Equation 1]</em>

 The following expression represents the the cost of 3 soft drinks:

3y

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:

4x+3y=25 <em> [Equation 2]</em>

Therefore, the <em>Equation 1 </em>and the <em>Equation 2 </em>can be used to determine the price of a hamburger and the price of a soft drink

5 0
3 years ago
Can somebody please solve this for me and show the work? it doesn't look too hard I'm just dumb.​
lana [24]

Answer:

x = 7

Step-by-step explanation:

  • vertical angles are pairs of opposite angles made by intersecting lines. and they are congruent

x + 16 = 4x - 5

x - 4x = - 5 - 16

- 3x = - 21

- x = - 21/3

- x = - 7

x = 7

hope it helps

and please just focus on your questions and use knowledge

8 0
3 years ago
Find the inverse function in slope-intercept form <br> f(x)=4/5x-16
jeka57 [31]
Y intercept slope - 5,0
X intercept slope - 0,-4
6 0
3 years ago
A factory makes 1200 shirts every 6 hours.the factory makes shirts for 9 hours a workday. what is the fewest number of workdays
Dominik [7]
1. Divide the target number of shirts, 12,600 by the company's rate of making the shirts. That is,
                                 number of hours = 12,600 shirts/ (1200 shirts/6 hours)
                                                               = 63 hours
2. Determine the number of workdays for them to complete the shirts by dividing 63 hours by 9 hours/workday. This will give us an answer of 7 workdays. 
8 0
3 years ago
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