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Nikolay [14]
3 years ago
12

Find five consecutive integers such that the sum of the first and 5 times the third is equal to 41 less than 3 times the sum of

the second fourth and fifth
Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

see below

Step-by-step explanation:

We'll cal the first integer x and then the rest of them will be x + 1, x + 2, x + 3 and x + 4. We can write x + 5(x + 2) = 3(x + 1 + x + 3 + x + 4) - 41.

x + 5x + 10 = 3(3x + 8) - 41

6x + 10 = 9x + 24 - 41

6x + 10 = 9x - 17

3x = 27

x = 9

The numbers are 9, 10, 11, 12, 13.

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Dion went out to lunch. The bill, including tax, was $30. Dion left a tip of $6. What percent of the bill did Dion leave as tip?
Annette [7]
Sorry about my first answer then it would 20% because if you take 30 and divide 20% you'll get 6 so again sorry I was wrong 20 percent though is right.
4 0
3 years ago
50 pts!!! Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approx
charle [14.2K]

Answer:

  • 40π

Step-by-step explanation:

<u>Area of circle:</u>

  • A = πr²

<u>Area of α degree sector:</u>

  • S = πr²*α/360

<u>The shaded area is:</u>

  • S = π*10²×(72*2)/360 = 100π×144/360 = 40π
4 0
2 years ago
At George Washington High School the ratio of graduating seniors that go on to college, as compared to those who do not, is 7 :
wariber [46]
The solution to the problem is as follows:

<span>7(4)/4(4) = 28/16
 
28+16= 44
</span>
Therefore, the size of the graduating class would be 44 students in all.

I hope my answer has come to your help. God bless and have a nice day ahead!
7 0
3 years ago
Bobby decided to watch all of the movies in his
disa [49]

Answer: C. y = 10x + 15

Step-by-step explanation:

He has already watched 15 movies so that's plus 15

And now he wants to watch 10 movies per week, we don't know how many weeks so that's '<em>x</em>' in this equation.

If he watches movies for <em>x </em>weeks that's 10 times <em>x </em>which is the 10x in the equation.

Hope that helped!

4 0
2 years ago
Need help finding answer
wolverine [178]

Answer:

BD is 3.75 units

Step-by-step explanation:

Given:

BA = 6 units

CA = 8 units

DC = 5 units

To Find:

BD = ?

Solution:

Triangle Angle Bisector Theorem.

An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

I.e Here in Δ BAC,

AD is the Bisector of ∠ A

∴ \frac{BA}{CA}= \frac{BD}{DC}

Substituting th above given values in it we get

∴ \frac{6}{8}= \frac{BD}{5}

∴ BD = 5\times \frac{6}{8} \\\\BD = \frac{30}{8} \\\\BD = 3.75\ units\\

Therefore BD is 3.75 units

5 0
3 years ago
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