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yan [13]
3 years ago
12

find 3 consecutive even integers such that the sum of the smaller 2 is 6 less than twice the largest one

Mathematics
1 answer:
saw5 [17]3 years ago
6 0

n, n + 2, n + 4 - three consecutive even integers

n + 2 = 2(n + 4) - 6     |use distributive property

n + 2 = (2)(n) + (2)(4) - 6

n + 2 = 2n + 8 - 6

n + 2 = 2n + 2     |subtract 2 from both sides

n = 2n       |subtract 2n from both sides

-n = 0

n = 0

n + 2 = 0 + 2 = 2

n + 4 = 0 + 4 = 4

Answer: 0, 2, 4.

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A minor league baseball team plays 101 games in a season. If the team won 14 more than twice as many games as they lost, how man
vagabundo [1.1K]
A minor league plays 101 games,
They win 14 more than twice as many as they lost.
How many wins and loses?

Okay, simple.
First, write a simple addition equation. In this case wins = w and losses = l.
l + w = 101.

Now, we have to figure out a way to make one of the terms the same term as the other, in this case we can change the terms of w to l.
l = l
w = 2l +14 (14 more than twice the amount)

Okay. So plug in the new amount for w.
l + 2l + 14 = 101. Great! we now have a simple equation. lets solve.
put similar terms together.
3l + 14 = 101
3l = 87
l = 29
So, we have 29 loses, and
w = 2(29) + 14
72 wins!
To check,
72 + 29 = 101, correct!

Hope this helps!

7 0
3 years ago
How much is 5ml? How many teaspoons equals 5mls?
Makovka662 [10]
5ml is 0.00132086 and 1.01442 teaspoons equals to 5mls
6 0
3 years ago
The figure below shows square ABCD inscribed on square PQRM on a coordinate plane. Which of the following expressions represents
vova2212 [387]
The hypotenuse of the triangle is given by:
 CB ^ 2 = RC ^ 2 + RB ^ 2

 Substituting values:
 CB ^ 2 = 2 ^ 2 + 4 ^ 2

 Clearing CB we have:
 CB = \sqrt{ 2 ^ 2 + 4 ^ 2}  

 CB = \sqrt{ 4 + 16}  

 CB = \sqrt{20}  

 CB = \sqrt{4*5}  

 CB = 2\sqrt{5}  




 Then, the perimeter of the triangle is:
 P = RB + RC + CB

 Substituting values:
 P = 4 + 2 + 2 \sqrt{5} 

 P = 6 + 2 \sqrt{5}
 Answer:
 the perimeter of triangle BRC in units is:
 D.6 + 2√5
7 0
3 years ago
Read 2 more answers
Yoda soda is the intergalacatic party drink .You are throwing a party and you need 5 liters of Yoda soda for 12 guest. If you ha
aksik [14]

Answer:

15 liters

Step-by-step explanation:

Given:

We need 5 liters of Yoda soda for 12 guest.

To find:

If we have 36 guest how many liters of Yoda soda we need.

Solution:

<u>By unitary method:</u>

For 12 guests, we need liters of Yoda soda = 5

For 1 guest, we need liters of Yoda soda = \frac{5}{12}

For 36 guests, we need liters of Yoda soda = \frac{5}{12}\times36=\frac{180}{12} =15\ liters

Therefore, we need 15 liters of Yoda soda for 36 guests.

7 0
2 years ago
A = 32°, a = 19, b = 14<br><br> solve the triangle using the law of cos
Lesechka [4]
Here is your solution.. hope it helps

6 0
2 years ago
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