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lara31 [8.8K]
3 years ago
14

The perimeter of the triangle below is 6a+2b-5 units. write an expression to represent the length in units, of the missing side

of the triangle.
please help me and show your work i am dyign

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Answer:

3a + 5b - 2

Step-by-step explanation:

The perimeter is the sum of all 3 sides of the triangle.

To find the missing side (x ) sum the 2 known sides and subtract from the perimeter.

x = 6a + 2b - 5 - (2a + 6b - 6 + a - 9b + 3 ) ← simplify parenthesis

  = 6a + 2b - 5 - (3a - 3b - 3 ) ← distribute by - 1

  = 6a + 2b - 5 - 3a + 3b + 3 ← collect like terms

  = 3a + 5b - 2 ← length of missing side


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A zoo in oklahoma charged $22 for adults and $15 for children. During a summer day, 732 zoo tickets were sold, and the total rec
Vlad [161]

Answer: Cost of tickets for adults = $22

Cost of tickets for children = $15

Total number of tickets sold = 732

Total receipts = $12,912

Let x be number of adult ticket's sold and y be the number of child ticket's sold.

Therefore, we have:

x+y=732       --------------- equation 1

x=732-y

Also, we have:

22 x+15y=12,912

Now, let's substitute the value of x:

22 (732-y)+15y=12912

16104-22y+15y=12912

16104-7y=12912

7y=16104-12912

7y=3192

y=\frac{3192}{7} =456

Now, let's substitute the value of y=456 in equation 1, we have:

x+456=732

x=732-456

x=276

Therefore, the number of child ticket's sold is 456 and number of adult ticket's sold is 276

6 0
3 years ago
Money in a bank triples every 10 years. If $100 is deposited today, what will its value be after 40 years? PLEASE SHOW ME STEP B
LenKa [72]

Answer:

d) $8,100

Step-by-step explanation:

Given information:

  • Money triples every 10 years
  • Initial deposit = $100
  • Number of years invested = 40 years

If the money triples (multiplies by 3) every 10 years,
then in 40 years time it will triple <u>4 times</u>, as 40 ÷ 10 = 4

⇒ Account balance after 40 years = $100 × 3 × 3 × 3 × 3

                                                         = $100 × 3⁴

                                                         = $8,100

<u>Proof</u>

In 10 years time the balance of the account will be:

$100 x 3 = $300

In another 10 years time, the balance of the account will be:

$300 x 3 = $900

In another 10 years time, the balance of the account will be:

$900 x 3 = $2700

In another 10 years time, the balance of the account will be:

$2700 x 3 = $8100

7 0
1 year ago
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