Find three consecutive ODD integers such that the sum of 7 times the smallest and twice the largest is -91. Name the smallest integer..

Answers

Answer 1
Answer:

Answer:

              -11, -9, -7

the smallest:   2x+1 = -11

Step-by-step explanation:

{z - some integer}

2z+1  - the smallest number

7(2z+1)  - seven times the smallest number

2z+1+2=2z+3  - the middle number

2z+3+2 = 2z+5 - the largest number

2(2z+5) - twice the largest number

7(2z+1) + 2(2z+5)  - the sum of 7 times the smallest and twice the largest

7(2z+1) + 2(2z+5)   = -91

14z + 7 + 4z + 10 = -91

              -17              -17

      18z   = -108

       ÷18        ÷18

        z = -6

2z+1 = 2(-6)+1 = -12 + 1 = -11  

2z+3 = 2(-6)+3 = -12 + 3 = -9

2z+5 = 2(-6)+5 = -12 + 5 = -7        

Answer 2
Answer:

Final answer:

To solve this problem, we denote the smallest odd integer as 'x' and set up the equation 7x + 2(x+4) = -91. By solving this equation, we find that the smallest integer is -15.

Explanation:

To find the three consecutive odd integers, let us denote the smallest odd integer as x; therefore, the next two consecutive odd integers would be x + 2 and x + 4, respectively. The problem states that the sum of seven times the smallest integer and twice the largest integer equals to -91. So, we can translate this into the equation, 7x + 2(x+4) = -91. Solving this gives us x = -15. Hence the smallest integer is -15. The full solution is as follows:

  1. Let the smallest integer be x.
  2. Then the other two consecutive odd numbers are x + 2 and x + 4.
  3. According to the question, 7x + 2(x + 4) = -91.
  4. Solving for x, we get x = -15.
  5. Hence, the smallest odd integer sought is -15.

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8 gallons equals how many pints?
a. 2 pt.
b. 128 pt.
c. 32 pt.
d. 64 pt.

Answers

64 pints is in 8 gallons

Can a trapezoid and a square ever have the same area?

Answers

Answer:You can make a square have any area you want it to, by making its sideslonger or shorter. You just have to keep all the sides the same length andone of its angles 90 degrees, otherwise you won't have a square any more.-- You can make a trapezoid have any area you want it to, by making its sideslonger or shorter. You just have to keep one pair of sides parallel, otherwiseyou won't have a trapezoid any more.-- Since you can make a square with any area you want, and you can make atrapezoid with any area you want, there's no reason why you can't make oneof each, that both have the same area.-- And while you're at it, you could also make a circle that has the same areaas the square and the trapezoid.

Step-by-step explanation:

Final answer:

Yes, a trapezoid and a square can have the same area. Area is the measure of the space inside a shape and two different shapes can occupy the same amount of space. An example is provided to illustrate this.

Explanation:

Yes, a trapezoid and a square can have the same area. Area is simply a measure of the space inside a shape, and it's entirely possible for two different shapes to occupy the same amount of space. For instance, consider a square of side length 4 units. Its area would be 16 square units. Now consider a trapezoid with base lengths of 3 units and 5 units, and a height of 4 units. The area of a trapezoid is calculated as ((base1+base2)/2)*height, which would also give us 16 square units in this case. So, these two shapes - the square and the trapezoid - have the same area.

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A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 3 isWhat is the probability of not spinning a 3?
Enter your answer as a fraction, in simplest form, in the box.

Answers

Answer:

8/9

Step-by-step explanation:

the probability of spinning 3 is 1/9 so just subtract with 1 or 9/9

What is the relationship between gross pay and net pay?

Answers

Your gross pay and net pay both have to do with taxes and the amount of money you earn, but they differ from one another:

Gross pay: This is the total amount of money you earned during the pay period, your salary multiplied by the number of hours you worked. 

Net pay: This number will be less than the gross pay because this is how much you actually take home after taxes are taken out of your check. 

20 is 12.5$ of what number?

Answers

Asumming you mean "20 is 12.5% of what number?", the answer is 160.

Jenny wants to buy the newest music from her local store. she buys 3 CDs that cost $ 36. If she gives the cashier a 50 dollar bill, how much change should she get back?

Answers

Answer:

$14 will be her change

Step-by-step explanation:

1. subtract the $36 from the 50 dollar bill

$50-$36= 14

Answer:

14 dollars

Step-by-step explanation:

you do 50-36