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3 years ago

What percent of 27 is 10

Mathematics

2 answers:

Lapatulllka [165]3 years ago

8 0

10 is 37.037 percent of 27

Ne4ueva [31]3 years ago

7 0

27/x=100/10
(27/x)*x=(100/10)*x --- we multiply both sides of the equation by x
27=10*x --- we divide both sides of the equation by (10) to get x
27/10=x 
2.7=x 
x=2.7

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Solve x2 + 6x + 7 = 0. (2 points)

Alexandra [31]

Option C: $$x=-3 \pm\sqrt{2}$

Solution:

Given equation is $x^{2}+6 x+7=0$ .

This is a quadratic equation.

Here a = 1, b = 6, c = 7

To solve the given equation by quadratic formula,

$$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substitute the given values in the quadratic formula, we get

$$x=\frac{-6 \pm \sqrt{6^{2}-4 (1) (7)}}{2 (1)}$

$$x=\frac{-6 \pm \sqrt{36-28}}{2 }$

$$x=\frac{-6 \pm \sqrt{8}}{2 }$

$$x=\frac{-6 \pm2 \sqrt{2}}{2 }$

$$x=\frac{2(-3 \pm\sqrt{2})}{2 }$

2 in the numerator and denominator are cancelled.

$$x=-3 \pm\sqrt{2}$

Option C is the correct answer.

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3 years ago

If t varies inversely as a and t= 2 when a = -4, what is t when a = 1/3?

bezimeni [28]

Answer:

t = - 24

Step-by-step explanation:

Given t varies inversely as a then the equation relating them is

t = $\frac{k}{a}$ ← k is the constant of variation

To find k use the condition t = 2 when a = - 4

2 = $\frac{k}{-4}$ ( multiply both sides by - 4 )

- 8 = k

t = $\frac{-8}{a}$ ← equation of variation

When a = $\frac{1}{3}$ , then

t = $\frac{-8}{\frac{1}{3} }$ = - 24

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zhenek [66]

Answer:

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zavuch27 [327]

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4 years ago