If four times a number plus 3 is 11, what is the number

Answers

Answer 1
Answer: n - the number

4 · n + 3 = 11
4n + 3 = 11      |subtract 3 from both sides
4n = 8    |divide both sides by 4

n = 2
Answer 2
Answer: Four times a number plus 3 is 11

4 * n + 3 = 11

4n + 3 = 11 -3    

4n = 8  

4n/4=8 / 4

n = 2

Hence solved 

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Use the general solution to solve 5 – 6x = 8x + 17.

Answers

The required solution is given by x = -6/7


Use the general solution to solve 5 – 6x = 8x + 17

What is equation?

equation is the relationship between variable and represented as is example of polynomial equation 5 - 6x = 8x+17.

5 - 6x = 8x+17
8x+6x = 5-17
14x=-12
x=-6/7

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 5 – 6x = 8x + 17 
⇔ 5 - 17 = 8x + 6x
⇔ -12 = 14x
⇔ x = -6/7 

What is the sum of the polynomials? (6x+7+x^2)+(2x^2-3)

Answers

The sum of the polynomials, (6x + 7 + x²) + (2x² - 3), is: 3x² + 6x + 4.

How to Find the Sum of Polynomials?

Given the polynomial expressions, (6x + 7 + x²) + (2x² - 3), to find the sum, open the bracket first:

6x + 7 + x² + 2x² - 3

Combine like terms

x² + 2x² + 6x + 7 - 3

3x² + 6x + 4

The sum of the polynomials is: 3x² + 6x + 4.

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Answer:

Option B

Step-by-step explanation:

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The amount of blood in a person's body varies directly with body weight. A person who weighs 160 lb has about 4.6 qt of blood. About how many quarts of blood are in the body of a 175-lb person?-How can you find the constant of variation?
-Can you write an equation that relates quarts of blood to weight?
-How can you use the equation to determine solution?

Answers

Step-by-step explanation:

Given that amount of blood is directly linked to body weight of the person.

b\propto W

b=kW

(b)/(W)=k

b = Amount of blood

W = weight of the person

k = proportionality constant or constant of variation

1) Given that, person who weighs 160 lb has about 4.6 quart of blood.

b = 4.6 quart, W = 160 lb

k=(b)/(W)=(4.6 quart)/(160 lb)=0.02875 quart/lb

The constant of variation is of value 0.02875 quart/lb.

2) An equation that relates quarts of blood to weight:

b=0.02875 quart/lb* W

3) If, b = ?,W = 175 lb

b=0.02875 quart/lb* W

b=0.02875 quart/lb* 175 lb=5.03125 quart

5.03125 quarts of blood are in the body of a 175-lb person.

The statements expresses as
∝ b
where w = body's weight, b = amount of blood

Changing it into a direct variation becomes
w = kb    or   k = w/b
where k = proportionality constant

We know that k is obviously constant, we equation it into two states as
w
₁/b₁ = w₂/b₂

Given that w₁ = 160 lb, b₁ = 4.6 qt, b₂ = 175, w₂ = 175 lb. Then b₂ will be
160/4.6 = 175/b₂
b₂ = 160/(4.6*175) = 160/805 = 0.20 quarts

Your questions are integrated in just step-by-step solution. 

Can someone help me my class is at 9

Answers

Answer: 1/4

Step-by-step explanation: 20 is a fourth of 80

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If y varies directly as x^2 and y=12 when x=2, find y when x=5

Answers

y=ax^2\n\ny=12\ \ \ and\ \ \ x=2\ \ \ \Rightarrow\ \ \ 12=a\cdot 2^2\ \ \ \Rightarrow\ \ \ a= (4)/(12)= (1)/(3) \n\ny=(1)/(3) x^2\n\nx=5\ \ \ \Rightarrow\ \ \ y=(1)/(3) \cdot5^2=(25)/(3) =8(1)/(3)

Consider these three squares with known area. 3 squares. The smallest square is labeled 25, the next square is 144, and the largest square is 169. Can a right triangle be formed using these squares?

Answers

Answer:

The answer is "5, 12, and 13".

Step-by-step explanation:

Please find the complete question in the attached file.

The right triangle is a triangle with only an angle of 90 degrees, as well as the go in the angle of 90 degrees, which is considered a hypotenuse.

The hypotenuse calculation square is equivalent to both the squared measures of the other two sides:

C^2=A^2+B^2

And even those squares do verify the equation:

169 = 144 + 25

So, it's a rectangular (right) triangle, with sides spanning 5, 12, \ and \ 13.

Answer:

B

Step-by-step explanation: