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dem82 [27]
3 years ago
8

Use the distributive property to remove the parentheses. -6(11 - 2)​

Mathematics
1 answer:
salantis [7]3 years ago
7 0

Answer:

-66+12 or -54

Step-by-step explanation:

To remove the parenthesis multiply the number outside of the parenthesis (in this case -6) to the numbers inside of the parenthesis (11, and -2).

-6*11=-66

A negative multiplied by a positive is a negative.

-6*-2=12

A negative multiplied by a negative is a positive.

-66+12=-54

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Express the decimal as a percent. 1.276<br><br> 60 points.
Mnenie [13.5K]

To change a decimal to a percentage, all that we have to do is multiply the decimal by 100 (or move the decimal point to the right two places).

1.276 x 100 = 127.6

Percentage: 127.6%

Hope this helps!

6 0
2 years ago
Driving to your friend's house, you travel at an average rate of 35 miles per hour. On your way home, you travel at an average r
kenny6666 [7]

<u><em>Answer:</em></u>

14 miles

<u><em>Explanation:</em></u>

<u>The relation that will be used to solve this problem is:</u>

Distance = Velocity*Time

<u>which can be rewritten as:</u>

Time = \frac{Distance}{Velocity}

<u>Assume that:</u>

Distance from your house to your friend's house is d

Time taken from your house to your friend's house is t₁

Time taken from your friends house to your house is t₂

<u>1- From your house to your friend's house:</u>

Average rate = 35 miles/hour

<u>Therefore:</u>

t_{1} = \frac{d}{35}

<u>2- From your friend's house to your house:</u>

Average rate = 40 miles per hour

<u>Therefore:</u>

t_{2} = \frac{d}{40}

<u>3- Round trip:</u>

We know that the round trip took 45 minutes which is equivalent to 0.75 hours

<u>This means that:</u>

t₁ + t₂ = 0.75 hours

\frac{d}{35}+\frac{d}{40}=0.75\\ \\\frac{40d + 35d}{1400}=0.75\\  \\\frac{75d}{1400}=0.75\\  \\ 1050 = 75d\\ d=14 miles

Hope this helps :)

3 0
4 years ago
I need help!!!!please someone tell me the answer!!!!
Alexeev081 [22]

Answer:

c: v=5000(1.35)

Step-by-step explanation:

3.5 interest in point-slope decimal form is 1.35.

v=5000(1.35) is final answer

3 0
3 years ago
Derman says, "I'm halfway through reading my book.if I read another 84 pages, I'll be two thirds of the way through my book." ho
Licemer1 [7]
I would say 504 basing it off of converting 2/3 into 4/6 and used sets of 84 to each be 1/6
6 0
3 years ago
The director of the library calculates that 29% of the library's collection is checked out. If the director is right, what is th
marusya05 [52]

Answer:

The probability that the proportion of books checked out in a sample of 412 books would differ from the population proportion by less than 4% is P=0.9255.

Step-by-step explanation:

The population's proportion is \pi=0.29

If we take a sample of 412 books (n=412), we have a standard deviation of the sampling distribution of:

\sigma_M=\sqrt{\frac{\pi(1-\pi)}{n}}=\sqrt{\frac{0.29*0.71}{412}}=\sqrt{0.0005} =0.0224

We have to calculate the probabilty that the sample proportion will be between 0.25 and 0.33.

z_1=(0.25-0.29)/0.0224=-0.04/0.0224=-1.7857\\\\z_2=1.7857\\\\\\P(0.25

8 0
4 years ago
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