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3 years ago

Solve the equation by completing the square. X^2+10x+24=0

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

3 0

Answer:

x = -4

x = -6

Step-by-step explanation:

X^2+10x+24=0

(b/2)^2 = (10/2)^2 = 25

X^2+10x+25=-24+25

(x+5)^2 = 1

(x+5) = ± 1

x = +1 -5 = -4

x = -1 -5 = -6

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A research center conducted a telephone survey of 2,000 adults to learn about the major economic concerns for the future. The su

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Answer:

0.81

Step-by-step explanation:

Find the point estimate by dividing the number of respondents that thought it was a major economic concern by the total number of people in the survey:

1,620/2,000

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3 years ago

The only items in a container A are 150 pencils and 725 pens. The ratio of the number of pencils to the number of pens in contai

Norma-Jean [14]

Answer:

Option E) 8000

Step-by-step explanation:

It is given in the question that the number of pencils and pens in a container A are 150 and 725.

Let the number of pens and pencils in container B are x and y.

As per statement " Ratio of the number of pencils to the number of pens is 2:3"

Equation will be $\frac{x}{y}=\frac{2}{3}$

Or $x=\frac{2}{3}y$ ------(1)

Second statement says "If all pens and pencils of container B are placed in container A then ratio of pencils and pens would be 3:5"

Equation will be $\frac{x+150}{y+725}=\frac{3}{5}$

5(x + 150) = 3(y + 725) [By cross multiplication]

5x + 750 = 3y + 2175

5x - 3y = 2175 - 750

5x - 3y = 1425 ------(2)

Now we put $x=\frac{2}{3}y$

$5(\frac{2y}{3})-3y=1425$

$\frac{10y}{3}-3y=1425$

$\frac{10y-9y}{3}=1425$

$\frac{y}{3}=1425$

y = 3×1425

y = 4275

Now we put y = 4275 in equation 1

$x=\frac{2}{3}(4275)$

x = 2850

Now (x + y) = 2850 + 4275

= 7125

Now Total number of pen and pencils in container A and container B

= 150 + 725 + 7125

= 8000

Therefore, Option E) is the answer

4 0

3 years ago

What is 20% of $28.00?

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3 years ago

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4 years ago

Find the product using mental math 32×25?

Roman55 [17]

Using mental math: 32 x 25 = 800

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4 years ago