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Delvig [45]
4 years ago
6

2/3(x+12)+2/3x=4 Solve the equation.

Mathematics
2 answers:
irga5000 [103]4 years ago
8 0
Simplify each term<span>.
</span><span><span><span>2x/</span>3</span>+8+<span><span>2x/</span>3</span>=4

</span>Add <span><span>2x/</span>3</span><span> and </span><span><span>2x/</span>3</span><span> to get </span><span><span>2(<span><span>2x/</span>3</span>)</span>.
</span>2(<span><span>2x/</span>3</span>)+8=<span>4
</span>
<span>Simplify.
</span><span><span><span>4x/</span>3</span>+8=4

</span>Since 8<span> does not contain the </span>variable<span> to solve for, move it to the right-hand side of the </span>equation<span> by subtracting </span>8<span> from both sides.
</span><span><span><span>4x/</span>3</span>=−8+4

</span>Add <span>−8</span><span> and </span>4<span> to get </span><span><span>−4</span>.
</span><span><span><span>4x/</span>3</span>=−4

</span>Multiply<span> both sides of the </span>equation<span> by </span><span>3.
</span><span>4x=−4⋅(3)

</span>Multiply <span>−4</span><span> by </span>3<span> to get </span><span><span>−12</span>.
</span><span>4x=−12

</span>Divide<span> each </span>term<span> in the </span>equation<span> by </span><span>4.
</span>x=−<span>3
</span>
x is equal to -3
andreyandreev [35.5K]4 years ago
3 0
2/3X + 8 +2/3X = 4
4/3X + 8 = 4
4/3X = -4
X = -12/4 = -3  
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In a group of 15 children the ratio of the boy : the girl is 2: 3: 5 more girls join the group. Calculate the percentage of boys
marta [7]

Answer:

Percentage of new group boys = 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 10%

Step-by-step explanation:

Given:

Number of children = 15

Ratio (Boys to Girls) = 2 : 3

Number of more girls join = 5

Find:

Percentage of boys in new group

Percentage decrease for the boys

Increase percent of the girls

Computation:

Number of boys = 15[2/5]

Number of boys = 6

Number of girls = 15[3/5]

Number of girls = 9

Percentage of boys = [6 / 15]100

Percentage of boys = 40%

Percentage of girls = [9 / 15]100

Percentage of girls = 60%

New number of students = 15 + 5

New number of students = 20

New number of boys = 6

New number of girls = 9 + 5 = 14

Percentage of new group boys = [6 / 20]100

Percentage of new group boys = 30%

Percentage of new group girls = [14 / 20]100

Percentage of new group girls = 70%

Percentage decrease for the boys = 40% - 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 70% - 60%

Increase percent of the girls = 10%

8 0
3 years ago
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A tank is in the shape of a cylinder 7 feet tall and 10 feet and radius find the exact surface area of the tank
Varvara68 [4.7K]

Answer:

2036.75088022^{2} or 2036.8^{2} rounded to the nearest tenth

Step-by-step explanation:

1. Find the area of the base and the top, which are circles.

Area of circle : \pi 10^{2} = 986.960440109

There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022

2. Find the rest of the area of the cylander.

So, we have to find the circumference of the circle.

Circumference :2\pi10 = 62.83

3. Multiply circumference by height.

62.83 x 7 = 439.81

4. Add all of the products.

439.81 + 1973.92088022 = 2036.75088022^{2} or 2036.8^{2} rounded to the nearest tenth

6 0
3 years ago
Use an area model to solve. 2 2/3 x 1 1/3?
natima [27]
<span>the answer is : 9.77777777778</span>
6 0
4 years ago
Read 2 more answers
Can’t solve this problem
Georgia [21]
The answer is 5 units. the top is 10, and x is half of that
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