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3 years ago

The sum of three positive consecutive integers is 66. what are the three integers

Mathematics

1 answer:

vredina [299]3 years ago

7 0

Answer: 21, 22, 23

Step-by-step explanation:

you divide 66 with 3, that equals 22, then you have three 22. Then you have to take 1 from one of the 22s and give it to the other one, making it 21, 22 and 23

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A school ordered 5 boxes of paper. There were 28 sheets of paper in each box. How many sheets of paper did the school order in a

tatuchka [14]

Answer:

the answer is 140 pieces of paper

Step-by-step explanation:

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3 years ago

For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr

viktelen [127]

Answer:

The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.

Step-by-step explanation:

Consider the system of linear equations:

$3x_{1} -x_{2}=2\;\;\;\;\;\;(1)\\ 9x_{1} -3x_{2}=k\;\;\;\;\;(2)$

The system of linear equations can have zero, one, or an infinite number of solutions:

simplify equation (1):

$x_{2}=3x_{1} -2$

substitute in equation (2), we get

$9x_{1} -3(3x_{1}-2)=k\\9x_{1} -9x_{1}+6=k\\0+6=k$

we cannot find the value of $x_{1}$ and $x_{2}$ .

so, there is no solution.

Multiply the equation (1) with 3 and put k is 6,

$3(3x_{1} -x_{2})=3\times2\\9x_{1} -3x_{2})=6$

it means both equations are overlapped. Then, the solution has infinite solutions.

Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.

4 0

3 years ago

Karen received a $50.75 gift card for a photo center. She used it to buy prints that cost 10 cents each. The remaining balance,

adoni [48]

Answer: 47.75

Step-by-step explanation: It explains at the end that she bought 30 prints. You would take 30 and just plug it in for X. So the formula would look like this, B(x)=50.75-0.10(30).

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3 years ago

Analyze the scatterplot below, what prediction can you make about the group of students used in the study from the graph below?

SCORPION-xisa [38]

Answer:

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Step-by-step explanation:

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3 years ago

There are 32 point guards and 50 posts In Leo's basketball league. Leo must include all players on a team and wants each team to

Fantom [35]

The greatest number of teams Leo can create is 2

Solution:

Given that,

There are 32 point guards and 50 posts In Leo's basketball league

From given,

Number of point guards = 32

Number of posts = 50

Leo must include all players on a team and wants each team to have the same number of point guards and the same number of posts

To find the greatest number of teams Leo can create, we should find the greatest common factor of 32 and 50

When we find all the factors of two or more numbers, and some factors are the same, then the largest of those common factors is the Greatest Common Factor

Greatest Common Factor of 32 and 50:

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 50 are: 1, 2, 5, 10, 25, 50

Then the greatest common factor is 2

Thus the greatest number of teams Leo can create is 2

5 0

3 years ago

The sum of three positive consecutive integers is 66. what are the three integers​

The sum of three positive consecutive integers is 66. what are the three integers