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3 years ago

A number q multiplied by 1/4 is greater than -16

Mathematics

1 answer:

Elza [17]3 years ago

5 0

In number form this is:
q · 1/4 > -16
To get rid of the fraction, multiply both sides by 4 to get the answer:
q > -64

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Please just answer this and explain how to solve...i’m not grasping the work :/

OverLord2011 [107]

$\bf Step-by-step~explanation:$

We are given that BA is perpendicular to BD, so that must mean that m∠ABD is a right angle, or 90º. This means: (8x - 10) + (4x + 52) = 90º, since both of the angles add up to become a right angle. We have to solve for x in order to find m∠CBD.

PART 1

$\bf Step~1:$

Equation: (8x - 10) + (4x + 52) = 90

Let's add the like values together first.

$\bf 8x+4x=12x\\-10+52 = 42$

$\bf 12x+42=90$

$\bf Step~2:$

Let's subtract 42 from both sides of the equation to isolate the variable we are solving for, x. Our goal is to isolate it completely to get a value that is equal to x.

$\bf12x+42(-42)=90(=42)\\12x=48$

$\bf Step~3:$

Divide both sides by 12 to get our final answer for x.

$\bf\frac{12x}{12} =x\\\\\frac{48}{12}= 4\\\\x=4$

PART 2

Now that we have x, we simply plug it into our equation for m∠CBD.

$\bf Step~1:$

$\bf4x+52\\4(4)+52$

$\bf Step~2:$

Multiply 4 and add 52.

$\bf 4*4=16\\16+52=68$

$\large\boxed{\bf Our~final~answer: mCBD=68}$

8 0

3 years ago

Translate into an algebraic expression and simplify if possible. C It would take Maya x minutes to rake the leaves and Carla y m

lina2011 [118]

Answer:

in one minute they rake $\frac{y+x}{xy}$ leaves working together.

Step-by-step explanation:

If Maya rakes the leaves in x minutes, then, in one minute she rakes $\frac{1}{x}$ leaves.

In the case of Carla, if she rakes the leaves in y minutes, in one minute she rakes $\frac{1}{y}$ leaves.

Therefore, to know the portion of leaves they can rake in one minute working together, we need to sum up both of the portions each one of them rake in one minute, this gives us: $\frac{1}{x}+ \frac{1}{y}$