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lbvjy [14]
2 years ago
6

Simplify the expression 6(x+4)+1 and 5+8(3+x) Thanks

Mathematics
2 answers:
STatiana [176]2 years ago
8 0
6(x+4)+1
6x+24+1
6x+25

5+8(3+x)
5+24+8x
29+8x
8x+29
abruzzese [7]2 years ago
4 0
6(x + 4)+1

To simplify this, first, you want to get rid of the parenthesis.
To do that, use the distributive property, and distribute the 6 to everything inside the parenthesis, by multiplying it to everything inside the parenthesis.

So:

6(x + 4) + 1 -> 6 * x + 6 * 4 + 1

Then just multiply.

6x + 24 + 1

Then simplify.

6x + 25

5 + 8 (3 + x)

Again, do the same thing, and use the distributive property to distribute 8 to 3 and x.

5 + 8 * 3 + 8 * x

5 + 24 + 8x

29 + 8x
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Yes you are correct good job
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Avicenna, a major insurance company, offers five-year life insurance policies to -65 year-olds. If the holder of one of these po
Alecsey [184]

Answer:

The question is about the least amount to charge each policyholder as premium

The least premium is $484

Step-by-step explanation:

The least amount of premium to charge for this policy is the sum of the expected values of outcome of both instances of policyholder dying before the age of 70 and living after the age of 70 years

expected value of dying before 70 years=payout*probability=$24,200*2%=$484

Expected of living after 70=payout*probability=$0*98%=$0

sum of expected values=$484+$0=$484

Note that payout is nil if policyholder lives beyond 70 years

The premium of $573 means that a profit of $89 is recorded

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3 years ago
(r3 +6r2 −21r−18)÷(r−3) solve using synthetic division
alexandr402 [8]

Answer:

y = x^2 + 9x + 6    No remainder.

Step-by-step explanation:

The divisor will be 3 The sign on the divisor switches.

3 || 1    +     6    -    21    -   18 ||

                 3         27     + 18

================================

      1          9         6          0


The answser is x^2 + 9x + 6

5 0
3 years ago
Hehe please help! 15 points! My brain is broken, if you could give both the answer and the process that would be very appreciate
wariber [46]

Answer:

vertex of the angle

Step-by-step explanation:

Angle Introduction - The figure formed by the two line segments QR and QP from the common point Q is an angle. Angle Components - Segments QR and QP are called the sides or arms of the angle. The common point Q is called the vertex of the angle.

7 0
3 years ago
2. Mr. Ellis runs an after-school program for nine- and ten-year-olds. Each day the children participate in an
MatroZZZ [7]

Answer:

See explanation

Step-by-step explanation:

Factorize numbers 42 and 56:

42=2\cdot 3\cdot 7\\ \\56=2\cdot 2\cdot 2\cdot 7

These two numbers have common factors 2 and 7. So,

A. Mr. Ellis can divide the group into

  • 1 team = 42 ten-year-olds and 56 nine-year-olds (actually this is not dividing only completing 1 team);
  • 2 teams = 21 ten=year-olds and 28 nine-year-olds in each team;
  • 7 teams = 6 ten-year-olds and 8 nine-year-olds in each team;
  • 14 teams = 3 ten-year-olds and 4 nine-year-olds in each team.

So, there are 3 different ways to divide the group of students into teams.

B. The greatest number of teams Mr. Ellis can make so each team has the same number of 9-year-olds and the same number of 10-year-olds is 14 teams.

C. If Mr. Ellis gives a snack to each winner, then he is interested to give the smallest number of snacks, the smallest number of snacks will be when the number of students in the team is the smallest, the smallest number of students will be when the greatest number of teams are created.

5 0
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