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EastWind [94]
3 years ago
11

Given: 5n-42=12n prove: n=-6

Mathematics
2 answers:
Leviafan [203]3 years ago
6 0

Answer:

5n-42=12n

5n-42+42=12n+42

5n=12n+42

5n-12n=12n+42-12n

-7n=42

-7n/-7 = 42/-7

n= -6

Vikentia [17]3 years ago
3 0

Answer:

n=-6

Step-by-step explanation:

5n-42=12n

5n=12n+24

5n-12n=42

-7n=42

divide each side by -7

n does =-6

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Step-by-step explanation:

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Emily can arrange 20 vases of flowers in 6 hours. Find Emily's rate per hour for arranging
Sergio [31]

Answer:

3 \frac{1}{3} vases per hour

Step-by-step explanation:

To find the unit rate, solve the total amount of vases that Emily arranged divided by the amount of time that Emily took to arrange the vases.

Or, in other words, solve 20 ÷ 6, since Emily arranged 20 vases and it took her 6 hours to complete it.

You can do this by hand or you can do it on a calculator.

After you solved it, you should get 3 \frac{1}{3}, or 3.33333...

So, Emily's rate is 3 \frac{1}{3} vases per hour.

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3 years ago
Find the square root of 100 5.75​
AleksandrR [38]

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10 and 2.4

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6 0
3 years ago
Which of these is a true statement
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The true statement is d, d may cause f.

Explanation:
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3 years ago
Read 2 more answers
A triangle in the xy-coordinate plane is formed by the points (3, 5), (− 1, 5) , and (3,− 6) . What is the perimeter and area of
kati45 [8]

Answer:

Therefore, the perimeter of the triangle is 26.7 units and the area is 22 square units.

Step-by-step explanation:

Given the vertices of a triangle as: A(3, 5), B(− 1, 5), and C(3,− 6)

Since A and B are on the same y-coordinate, we have that:

AB = 3-(-1)=4 Units

Since A and C are on the same x-coordinate, we have that:

AC=5-(-6)=11 Units

Next, we determine the distance BC using the distance formula.

Given: B(− 1, 5), and C(3,− 6)

BC=\sqrt{(3-(-1))^2+(-6-5)^2}\\= \sqrt{(4)^2+(-11)^2}=\sqrt{137}$ Units

Therefore:

Perimeter of the Triangle

= 4+11+\sqrt{137}\\ =15+\sqrt{137}$ Units\\=26.7 Units

On plotting the triangle, it forms a right triangle such that the:

Base = 4 Units

Height = 11 Units

Therefore:

Area of a triangle =\dfrac12 *Base*Height

Therefore:

Area of the Triangle = 0.5 X 4 X 11

=22 Square Units.

Therefore, the perimeter of the triangle is 26.7 units and the area is 22 square units.

5 0
3 years ago
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