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Archy [21]
3 years ago
14

Write an expression for the perimeter of this pentagon. If the perimeter is 157 units, find x.

Mathematics
1 answer:
Nat2105 [25]3 years ago
4 0

This the only option to find x since doing the other way like 3x + 2 = 3x + 2 gives it an infinite solution.

4x - 1 = 3x + 2

-3x       -3x

1x - 1 = 2

   +1    +1

1x = 3

---   ----

1       1

x = 3

Check:

4(3) - 1 = 3(3) + 2

12 - 1 = 9 + 2

11 = 11

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If f(x) = -3x - 5 and g(x) = 4x - 2, find (f - g)(x).
ratelena [41]

Answer:

  A.  (f-g)(x) = -7x -3

Step-by-step explanation:

(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)

  = -3x -5 -4x +2

  = -3x -4x -5 +2

  (f -g)(x) = -7x -3

3 0
2 years ago
There is money to send four of nine city council members to a conference in Honolulu. All want to go, so they decide to choose t
FrozenT [24]

Answer:

126

Step-by-step explanation:

There are 9 city council members.

We have to choose 4 of them.

We have to use the combination as :

$^9C_4$

where, 9 is the population size

4 is the sample size.

Therefore, the total number of possible samples without replacement is given as :

$^9C_4=\frac{9!}{4!(9-4)!}$

      $=\frac{9!}{5! \ 4!}$

     $=\frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1}$

    = 126

7 0
3 years ago
I don't understand how this works
gavmur [86]
$17.40

I'm not 100% sure on this answer, but I don't think anyone else will be answering.
4 0
3 years ago
In how many ways can 10 people be divided into three groups with 2, 3, and 5 people respectively?
Liula [17]

Answer:

2100

Step-by-step explanation:

In how many ways can a group of 10 people be divided into three groups consisting of 2,3, and 5 people?

First, you need to choose 4 people to fill the first group.

The number of ways is (104) which equals to 210.

Then, pick 3 more people out of the remaining 6 to be in the second group. And then, pick 3 more out of the remaining 3.

However, we need to divide it by 2, since we don’t really care on the order of selection of group.

(63)(33)/2=10

So, there are 210 x 10 = 2100 ways

6 0
3 years ago
Read 2 more answers
Emelia earns $8.00 per hour plus a gas allowance of $3.50 per day at her job. How much does Emilia's job pay in a day when she w
Bogdan [553]

Answer: Required expression = 8h +3.50

Emilia's job pay  $ 43.5 in a day when she works 5 hours.

Step-by-step explanation:

Given: Hourly earning = $8.00

gas allowance per day =  $3.50

Pay per day = (Hourly earning ) x (Number of hours ) + (gas allowance per day)

Let h = number of hours

Pay per day = 8h +3.50

If Emily worked for 5 hours, then put h= 5, we get

Pay per day = 8(5) +3.50

= $ 40 +3.50

= $ 43.5

Required expression = 8h +3.50

Emilia's job pay  $ 43.5 in a day when she works 5 hours.

7 0
2 years ago
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