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marysya [2.9K]
3 years ago
13

~~~ 30 POINTS ~~~

Mathematics
2 answers:
frez [133]3 years ago
5 0
Let x be the unknown number of all 3 equations
1.) 3x - 2 = x + 10 x=6
2.) x + 4 = 19 - 2x x=5
3.) 8x - 20 = x + 15 x=5
trasher [3.6K]3 years ago
3 0
<span>1)   3x-2=x+10


</span><span>Now, lets solve this step-by-step.
</span><span>
3x - 2 = x + 10
-x             -x
</span><span>
</span><span>3x - x = 2x                                2x - 2 = 10
</span><span>
</span><span>2x - 2 = 10
</span>2x - 2+2 = 10+2          The inverse operation helps isolate the variable. 
<span>
2x = 12

2x/2 = 12/2

x = 12/2
x = 6</span><span>

Answer: x = 6

2) x + 4 = 19 - 2x </span>

We can solve this much faster

x + 4 = 19 - 2x
                  +2x

x+2x = 3x

3x + 4 = 19
      -4     -4

19-4 = 15

3x= 15
3x/3 = 15/3
x= 5

Answer: x = 5

3) 
<span>8x - 20 = x + 15

Much faster now!!

8x - 20 = x + 15
               -x
8x-x = 7x

7x - 20 = 15
      +20   +20
15+20 = 35

7x = 35
7x/7 = 35/7
x = 35/7
x = 5

Answer: x= 5</span>
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HELP PLS NEED THIS IN 5 MIN
swat32

Answer:

0.25

Step-by-step explanation:

1. Add up all of the students.

20+20+25+7+13+5+3+2+5=100

2. Make a ratio of that number and the number of all the students in Music/Drama

MUSIC/DRAMA: 7+13+5=25

\frac{25}{100}

3. Simplify

\frac{25}{100} = \frac{5}{20} =\frac{1}{4} = 0.25

8 0
3 years ago
Darla has four buckets shaped like cylinders she is filling the buckets with water by using a scoop shaped like a cone if the co
padilas [110]

Answer:

12 Scoops

Step-by-step explanation:

Darla has 4 Cylinder Shaped Buckets

Volume of the Cylinders =4*\pi r^2h

The scoop is cone shaped and:

Volume of the Cone Scoop =\frac{1}{3} \pi r^2h

Since the radius and height of the cone scoop and cylindrical buckets are the same,

The number of Cone Scoops it will take to fill the buckets is:

Total Volume of Buckets/Volume of Cone Scoops

=\dfrac{4*\pi r^2h}{\frac{1}{3} \pi r^2h} \\=4 \div \frac{1}{3}\\=12

It will take 12 Scoops to fill the 4 buckets.

5 0
3 years ago
A grocer has two kinds of tea, one selling for 80 cents per pound and the other selling for 60 cents per pound. How many pounds
ruslelena [56]
X*80+y*60= 50*74
x      +y      =50            | * ( -60)

80x  + 60y= 50*74
-60x  - 60y=-50*60
---------------------------
20x= 50*(74-60)=50*14
x=50*14/20=35 pounds of 80 cents tea
y=50-35=15 pounds of 60 cents tea
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The answer is D.64

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