Give answer as a mixed number 3/5 + 4/5 =

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Answer 1

Answer: The answer as an improper fraction is 7/5. The answer as a mixed number is 1 2/5.

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If sin theta is -4/5. 270 degrees is less than theta and theta is less than 360 degrees. What is tan theta?

Answers

Answer:

tan theta = -4/3.

Step-by-step explanation:

The inequality means that theta is in the 4th quadrant ( between 270 and 360 degrees.

The angle whose sine is 4/5 is 53.13 degrees.

So the angle whose sine is -4/5 is 306.87 degrees.

The tangent is negative and the triangle formed by the angle in the 4th quadrant has sides 3, - 4 and 5 ( by the Pythagoras theorem).

So tan theta = opposite / adjacent = -4/3 (answer).

Suppose a city with population 500,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 11 years.

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use compound interest formula.........m

Whats times what equals negative 48 and adds up to negative 2

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The two figures that multiply to-48 and add up to-2 are-8 and 6.

Let's assume the two figures are x and y.

According to the problem, we've two conditions

x y = -48

x y = -2

To break this, we can rewrite the alternate equation as

x = -2- y

Now substitute this value of x in the first equation

(-2 - y) y = -48

- 2y- y² = -48

Rearranging the terms

y² + 2y- 48 = 0

Now, solving the Quadratic Equation

(y+ 8)( y- 6) = 0

Setting each factor to zero

y + 8 = 0--> y = -8

y- 6 = 0--> y = 6

So we've two possible values for y is -8 and 6.

Substituting these values back into the equation x + y = -2, we can break for x

For y = -8

x(- 8) = -2

x- 8 = -2

x = 6

For y = 6

x 6 = -2

x = -2- 6

x = -8

Thus, the two figures that multiply to-48 and add up to-2 are-8 and 6.

Learn more about Quadratic Equation here:

brainly.com/question/30098550

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6 × -8 = -48

6 + -8 = -2

Please show me how to solve for Xsquared - 21.75X = -15.75. I have the solution but do not know how to solve it.

Answers

$x^2-21.75x=-15.75 \nx^2-21.75x+15.75=0$

Use the quadratic formula:
$x^2-21.75x+15.75=0 \n \na=1 \n b=-21.75 \n c=15.75 \n b^2-4ac=(-21.75)^2-4 * 1 * 15.75=473.0625-63=410.0625 \n \nx=(-b \pm √(b^2-4ac))/(2a)=(-(-21.75) \pm √(410.0625))/(2 * 1)=(21.75 \pm 20.25)/(2) \nx=(21.75-20.25)/(2) \ \lor \ x=(21.75+20.25)/(2) \nx=(1.5)/(2) \ \lor \ x=(42)/(2) \nx=(15)/(20) \ \lor \ x=21 \nx=(3)/(4) \ \lor \ x=21 \n\boxed{x=(3)/(4) \hbox{ or } x=21}$

In a group of 20 there are 7 boys what is the ratio of girls to boys?