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3 years ago

Three times a number minus thirty-two

Mathematics

1 answer:

lbvjy [14]3 years ago

3 0

Answer:

3n−32=7n+28

n=-15

Step-by-step explanation:

Let's solve your equation step-by-step.

3n−32=7n+28

Step 1: Subtract 7n from both sides.

3n−32−7n=7n+28−7n

−4n−32=28

Step 2: Add 32 to both sides.

−4n−32+32=28+32

−4n=60

Step 3: Divide both sides by -4.

−4n/−4=60/−4

n=−15

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Nine new employees, two of whom are married to each other, are to be assigned nine desks that are lined up in a row. If the assi

meriva

Answer:

The probability is 0.8

Step-by-step explanation:

The key to answering this question is considering the fact that the two married employees be treated as a single unit.

Now what this means is that we would be having 8 desks to assign.

Mathematically, the number of ways to assign 8 desks to 8 employees is equal to 8!

Now, the number of ways the couple can interchange their desks is just 2 ways

Thus, the number of ways to assign desks such that the couple has adjacent desks is 2(8!)

The number of ways to assign desks among all six employees randomly is 9!

Thus, the probability that the couple will have adjacent desks would be ;

2(8!)/9! = 2/9

This means that the probability that the couple have non adjacent desks is 1-2/9 = 7/9 = 0.77778

Which is 0.8 to the nearest tenth of a percent

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3 years ago

Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

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3 years ago

Simplify the expression:<br> 10t - 40 + 3t + t

Pavlova-9 [17]

Answer:

Your <u>correct</u> answer is 14t - 40

Step-by-step explanation:

Combine like terms:

10t + 3t + t = 14t

Since there are no other integers, just tag on the -40:

14t - 40

**please mark brainliest!!

5 0

3 years ago

Which numbers are irrational?

Zepler [3.9K]

Answer:

54 hope this helps

Step-by-step explanation:

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3 years ago

Find the midpoint of the line segment joining the points (6,1) and (-2, -1).

tiny-mole [99]

Step-by-step explanation:

By the formula of slope, we have

$( \frac{y _{2} - y_{1} }{x _2 - x _{1} }) \\ ( \frac{ - 1 - 1}{ - 2 - 6} ) \\ ( \frac{ - 2}{ - 8} ) \\ ( \frac{1}{4} )$

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3 years ago

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