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balandron [24]
3 years ago
12

How to solve this equation 18.5 = -4.5 + 7(k + 6)

Mathematics
2 answers:
yawa3891 [41]3 years ago
8 0
1. Add -4.5 to 18.5
2. Divide 23 by 7
3. Then subtract 6 from -2.7
allsm [11]3 years ago
7 0

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

18.5=−4.5+7(k+6)

Step 1: Simplify both sides of the equation.

18.5=−4.5+7(k+6)

18.5=−4.5+(7)(k)+(7)(6)(Distribute)

18.5=−4.5+7k+42

18.5=(7k)+(−4.5+42)(Combine Like Terms)

18.5=7k+37.5

18.5=7k+37.5

Step 2: Flip the equation.

7k+37.5=18.5

Step 3: Subtract 37.5 from both sides.

7k+37.5−37.5=18.5−37.5

7k=−19

Step 4: Divide both sides by 7.

7k

7

=

−19

7

k=

−19

7

Answer:

k=

−19

7

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The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of \piπ
LenaWriter [7]

Answer:

Area of the circle =   \frac{529}{4}  π  m²    or      132.25 π  m²

Step-by-step explanation:

To find the area, we will follow the steps below.

First write down the formular for the circumference of a circle, then use the formula to find the radius of the circle after which you can now find the area of the circle.

That is;

C = 2πr

where c is the circumference of the circle and   r is the radius of the circle

From the question given, circumference C = 23π

23π = 2π r

Divide both-side of the equation by 2π

23π/2π  =  2πr/2π

23/2   =  r

radius =   \frac{23}{2}  m

Formula for calculating the area of a circle is given by;

A = πr²

where A= area of the circle   and   r is the radius of the circle

A = π ( \frac{23}{2} )²

A = \frac{529}{4}  π  m²    or      132.25 π  m²

Area of the circle =   \frac{529}{4}  π  m²    or      132.25 π  m²

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