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stealth61 [152]
3 years ago
15

Whats the sum of 4 consecutive odd integers is 4 less than 100. what is the second largest integer?

Mathematics
1 answer:
Hunter-Best [27]3 years ago
5 0

Let, the numbers = x,(x+2),(x+4),(x+6)

x+x+2+x+4+x+6 = 100-4 = 96

4x+12=96

4x = 84

x = 84/4 = 21

Second largest number, (x+2) = 21+2 = 23

So, your answer is 23

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Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total t
Ilia_Sergeevich [38]

Answer: 220

<u>Step-by-step explanation:</u>

Children (x): $2

Teens (y): $3, \frac{3}{4}x

Adults: (z): $5

Quantity: x + y + z = 570  ⇒  x + \frac{3}{4}x + z = 570  ⇒ 1.75x + z = 570  

Cost: 2x + 3y + 5z = 1950  ⇒  2x + 3(\frac{3}{4}x) + 5z = 1950  ⇒  2x + 2.25x + 5z = 1950  ⇒  4.25x + 5z = 1950

Qty:    1.75x +  z =  570  →  5(1.75x +  z =  570)  →    8.75x + 5z = 2850

Cost: 4.25x + 5z = 1950 → -1(4.25x + 5z = 1950 → <u> -4.25x - 5z</u> = <u>-1950 </u>

                                                                                  4.50x        =   900

                                                                                          x       =    200

Teens (y): \frac{3}{4}x

           y = \frac{3}{4}(200)

             = \frac{600}{4}

             = 150

Quantity: x + y + z = 570  

              200 + 150 + z = 570

                     350     + z = 570

                                    z = 220


6 0
2 years ago
Y=-3x+3<br> Y=5x+19<br> Solve this system by substitution
Mars2501 [29]

Answer:

x=-2

Step-by-step explanation:

You can substitute the first equation into the second:

-3x+3=5x+19

Add 3x on both sides:

3=8x+19

Subtract 19 on both sides:

-16=8x

Divide 8 on both sides:

x=-2

5 0
2 years ago
Read 2 more answers
Sara had 97 dollars to spend on 6 books. After
nalin [4]
The answer is 19 6×13 It’s 78-97 you get 19
5 0
2 years ago
Can someone help me with this I don't understand and please explain the answer
lukranit [14]
(2^6)=1
take log on both sides,
xlog(2^6)=log(1)=0
=>
x=0, since log(2^6)>0

5^0=1
there is no value of x appearing in the equation, so x can be any valid number.
5 0
3 years ago
14% of 163<br> What is 14% of 163 estimated
Elina [12.6K]

Answer:

22.82

Step-by-step explanation:

it is about 22.82 when taken 14% away

3 0
3 years ago
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