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stepladder [879]
3 years ago
7

#7) Solve 8c - 3c + 3 = 13.

Mathematics
1 answer:
nordsb [41]3 years ago
6 0

Hello!

\large\boxed{c = 2}

8c - 3c + 3 = 13

Begin by combining like terms:

5c + 3 = 13

Subtract 3 from both sides:

5c + 3 - 3 = 13 - 3

5c = 10

Divide both sides by 5:

5c/5 = 10/5

c = 2.

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At 6:00 PM, a flagpole that is 35 feet tall casts a shadow that is 50 feet long. At the same time, how long will a person's shad
sertanlavr [38]

<u>Answer:</u>

The length of the person’s shadow is 5.7ft

<u>Explanation:</u>

Length of the flagpole =a= 35ft

Length of the shadow of the flagpole= b=50ft

Length of the person=c= 4ft

Suppose the length of the person’s shadow is=d

According to the  rules of trigonometry

\frac{\text { Length of the flagpole }}{\text { Length of the shadow of the flagpole }}=\frac{\text { Length of the person }}{\text { Length of the person's shadow }}

\frac{a}{b}=\frac{c}{d}

\frac{35}{50}=\frac{4}{d}

35d=200

d=\frac{200}{35}

d=5.7ft  

Hence, The length of the person’s shadow is 5.7ft.

3 0
3 years ago
A student answers 80% of the questions on the math exam correctly, if she answers 40 questions correctly. How many questions are
mafiozo [28]
Hope this helps! ask if you need clarification.

6 0
3 years ago
6.<br> Use the Change of Base Formula to evaluate log base 4 20
tatiyna

Answer:

The answer with calculator would be 2.16096

4 0
2 years ago
Consider the system of equation
ivanzaharov [21]

Answer:

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4 0
2 years ago
ales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $150
Aneli [31]

Answer:

7% of 150= 10.5 :)

Step-by-step explanation:

150/x=100/7

(150/x)*x=(100/7)*x       - we multiply both sides of the equation by x

150=14.2857142857*x       - we divide both sides of the equation by (14.2857142857) to get x

150/14.2857142857=x

10.5=x

x=10.5

now we have:

7% of 150=10.5

4 0
2 years ago
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