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3 years ago

11

The sign of the product of 2 integers with the same sign is positive. what is the sign of the product of 3 integers with the sam

e sign

1 answer:

klemol [59]3 years ago

6 0

Product of 3 negatives equals a negative answer
Product of 3 positives equals a positive answer

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.MARY WAS TOLD TO RUN AROUND THE TRACK 5 TIMES BY HER COACH. ONCE AROUND THE TRACK IS 5/6 OF A MILE. MARY WAS ONLY ABLE TO RUN A

Alenkasestr [34]

Answer:

3.61 miles

Step-by-step explanation:

Given that:

Length of track = 5/6 of a mile

Number times Mary was able to run around the track = 4 1/3 times

Total miles ran by Mary :

(Equivalent mile of the track * number of times Mary ran around the track)

5/6 of a mile * 4 1/3 times

5/6 * 13/3

= 65 / 18

= 3.611111 miles

Hence, total Number of miles ran by Mary is 3.61 miles

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3 years ago

A restaurant manager can spend at most $600 a day for operating costs and payroll. It costs $100 each day to operate the bank an

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Option A

The restaurant Manager can afford at most 10 employees for the day

<em><u>Solution:</u></em>

Given that restaurant manager can spend at most $600 a day for operating costs and payroll

It costs $100 each day to operate the bank and $50 dollars a day for each employee

The given inequality is:

$50x + 100\leq 600$

Where , "x" is the number of employees per day

Let us solve the inequality for "x"

$50x + 100\leq 600$

Add -100 on both sides of inequality

$50x + 100 - 100\leq 600 - 100\\\\50x\leq 500$

Divide by 50 on both sides of inequality

$\frac{50x}{50}\leq \frac{500}{50}\\\\x\leq 10$

Hence the restaurant Manager can afford at most 10 employees for the day

Thus option A is correct

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3 years ago

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The answer is B. (hope that helps)

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Describe how to combine like terms in the expression 3n + 4n -2

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You can combine the same numbers with the same variables using the operation sign for each. For example, using your equation, you would combine the 3n and 4n which is 7n. So your equation would be
7n - 2

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Rex, Paulo, and Ben are standing on shore watching for dolphins. Paulo sees one surface directly in front of him about a hundred

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1. $m\angle BAC=m\angle CAD,\ m\angle ACB=m\angle ADC=90^{\circ}$ , then $m\angle ABC=m\angle ACD$ and triangles ADC and ACB are similar by AAA theorem.

2. The ratio of the corresponding sides of similar triangles is constant, so

$\dfrac{AC}{AB}= \dfrac{AD}{AC}$ .

3. Knowing lengths you could state that $\dfrac{b}{c}= \dfrac{e}{b}$ .

4. This ratio is equivalent to $b^2=ce$ .

5. $m\angle ABC=m\angle CBD,\ m\angle ACB=m\angle CDB=90^{\circ}$ , then $m\angle BAC=m\angle BCD$ and triangles BDC and BCA are similar by AAA theorem.

6. The ratio of the corresponding sides of similar triangles is constant, so

$\dfrac{BC}{BD}= \dfrac{AB}{BC}$ .

7. Knowing lengths you could state that $\dfrac{a}{d}= \dfrac{c}{a}$ .

8. This ratio is equivalent to $a^2=cd$ .

9. Now add results of parts 4 and 8:

$b^2+a^2=ce+cd$ .

10. c is common factor, then:

$b^2+a^2=c(e+d)$ .

11. Since $e+d=c$ you have $a^2+b^2=c\cdot c=c^2$ .

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3 years ago

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