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Anna007 [38]
3 years ago
6

I am thinking of a number, let's call it x . If I increase twice my number by 5, the result is the same as if I triple my number

and subtract 1. Use the 4-step process to write and solve an equation to find my number. Make sure to answer in a sentence.
Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Answer: 6

Step-by-step explanation:

Let the number be x

If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:

(2 × x) + 5 = (3 × x) - 1

2x + 5 = 3x - 1

5 + 1 = 3x - 2x

x = 6

The number you are thinking of is 6

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The area of a circle is 100 square miles. What is the diameter?
adell [148]

Answer:

The diameter of a circle with an area of 100 square miles is 20/√π miles.

Step-by-step explanation:

Area =100 = πr^2.

diameter = d = 2r.

100 = πr^2.

100/π = r^2.

√(100/π) = r.

10/√π = r.

d = 2r.

d = 2 * 10/√π.

d = 20/√π

5 0
3 years ago
A company made a storage container with sheet steel walls. The container was in the shape of a rectangular prism, as shown below
Alja [10]

Answer:

The sheet steel costed $22.41 per square meter

Step-by-step explanation:

5 0
3 years ago
5^(2x-1)+5^(x+1)=250<br> how do you solve?<br> thank you
zepelin [54]

Answer:

<em>x = 2</em>

Step-by-step explanation:

<u>Exponential Equations</u>

Solve:

5^{2x-1}+5^{x+1}=250

Separate each exponential:

5^{2x}5^{-1}+5^{x}5^{1}=250

Operating:

\displaystyle \frac{5^{2x}}{5}+5^{x}5=250

Multiplying by 5:

5^{2x}+25\cdot5^x=1250

Rearranging:

5^{2x}+25\cdot5^x-1250=0

Recall that:

5^{2x}=(5^{x})^2

(5^{x})^2+25\cdot5^x-1250=0

Calling

y=5^{x}:

y^2+25y-1250=0

Factoring:

(y-25)(y+50)=0

There are two possible solutions:

y=25

y=-50

Since

y=5^{x}

y cannot be negative, thus:

5^{x}=25=5^2

The solution is:

x = 2

8 0
3 years ago
Please Help , Is It A,B,C Or D
vladimir1956 [14]

Answer:

Im Gonna Have to Say B

Step-by-step explanation:

5 0
3 years ago
It says here that it was the wrong answer. what is 1.8 divided by 12.06? show me your work and how you got it so I can understan
solong [7]
1.8:12.06=\dfrac{1.8}{12.06}=\dfrac{1.8\cdot100}{12.06\cdot100}=\dfrac{180}{1206}=\dfrac{180:6}{1206:6}=\dfrac{30}{201}=\dfrac{30:3}{201:3}=\dfrac{10}{67}
3 0
3 years ago
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