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zhannawk [14.2K]
3 years ago
9

Find the missing term and the missing coefficient of the following equation: (6a −______)5a =______a^2 − 35a

Mathematics
2 answers:
Gnoma [55]3 years ago
8 0

Answer:

The missing term=7

Missing coefficient=30

Step-by-step explanation:

We are given  that

(6a-_)5a=_a^2-35a

We have to find the value of missing term

In order to find the value of missing term we will compare on both sides

6a\times 5a=30a^2

35=7\times 5=35

(6a-7)5a=30a^2-35a

Hence, the missing term=7

Missing coefficient=30

sergiy2304 [10]3 years ago
5 0
The missing term in the left side of the equation is 7. Therefore:

(6a-7)5a

On the other hand, the missing coefficient in the right side of the equation is 30. Therefore,

30a^2 - 35a

Combining the left and right sides of the equation:

(6a-7)5a = 30a^2-35a

I hope my answer has come to your help. Thank you for posting your question here in Brainly.


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9. Determine whether or not the number 257 is prime.
Sladkaya [172]

Answer:

257 is prime.

Step-by-step explanation:

To evaluate if a number is prime, we just need to evaluate it for the prime numbers that are equal or lesser than the said number's square root.

In this case, √257 = 16.03 so we just need to see if 257 is divisible by <u>2, 3, 5, 7, 11 and 13</u> (the prime numbers that come before 16)

  • 257 is odd, so it is not divisible by 2.
  • The sum of its digits is 14, therefore, it is not divisible by 3.
  • 257 ends in 7, therefore it's not divisible by 5.
  • 257/ 7 = 36.71 so it's not divisible by 7.
  • 257/ 11 = 23.36 so it's not divisible by 11
  • Finally 257 / 13= 19.76 so it's not divisible by 13.

Therefore, 257 is prime.

7 0
3 years ago
If 20% of a school was made up of out-of-district students last year, but the number of out-of-district students increased by 50
Nadya [2.5K]

Answer:

<h2>30% is enrolled out-of-district.</h2>

Step-by-step explanation:

According to the word problem, the number is increased by 50%.

To increase a number by a percent, multiply the number and the percent.

We can do this by changing both percents to decimals.

To change a percent to a decimal, divide it by 100.

20/100 = 0.2

50/100=0.5

The number is INCREASED by 50% so 0.5 would become 1.5.

0.2 * 1.5=0.3

<h2>0.3 = 30%.</h2>
4 0
3 years ago
If ur butt was split horizontally instead of vertically, would you clap when u ran down the stairs?
bixtya [17]

Answer:

yes cuz my butt is phat

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
can anyone help tech me how to solve for tax and tip. im going to 6th grade and trying to get into the advanced group but I don'
baherus [9]

If something isn't clear or you're still confused about, let me know in the comments.

Step-by-step explanation:

Okay, here's my best try.

Suppose you have a bill for $8.45

If you are asked to add, say, 8% tax, you must calculate 8 percent of 8.45 and then add it to 8.45.

Begin by converting 8% to decimals by dividing by 100.

\frac{8}{100}=0.08 8% is 0.08 in decimal form.

To calculate a percentage of a number, you multiply the decimal percent by the number; example:

0.08(8.45) 8.45 is being multiplied by 0.08. The result is: 0.676. (this is the tax; however you have to round up to two decimal places: $0.68)

After finding the tax amount, if you are asked to add it to the bill, you have to add it to the original bill; in this case, $8.45

This would be: 0.68+8.45=9.13.

Therefore, the total bill after tax is for $9.13

----------------------------------------------------------------------------------------------------

With tips is the same thing, however, you can have 2 situations.

Situation 1: You are asked to calculate 15% tip of total bill.

In this situation, you can do the same we do to calculate tax.

Convert the percentage to decimal by dividing by 100.

\frac{15}{100}=0.15

and multiply it by the original bill.

0.15(8.45)=1.2675. Rounding up, this would be $1.27 for tip.

If you were to add it to the original bill, simply sum.

8.45+1.27=9.72

The total bill after tips is for $9.72

Situation 2: You are asked to calculate 15% tip of the total bill with a tax of 8% included.

In this situation, you must first calculate the total bill with the tax added, like we did above; we got a bill for $9.13 (Tax included)

Then you can calculate 15% tip of this new bill that has tax included.

Convert

\frac{15}{100}=0.15

Multiply by the new bill (because this is the one that includes tax)

0.15(9.13)=1.3695 Round up.... $1.37 for tips.

If you are asked to give a total amount of money including tax and tips, add this to the bill.

9.13+1.37=10.50

This bill would be for $10.50

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3 years ago
How to determine if an outcome is unusual
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The only way to determine whether or not an outcome is unusual or not is to compare it with previous or future outcomes.
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