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kondaur [170]
2 years ago
5

4.Find three consecutive integers such that the difference of double the largest number and triple the smallest number is -44. F

ind the three numbers by setting up an equation. Make sure to define your variables
Mathematics
1 answer:
Taya2010 [7]2 years ago
8 0

Solving a linear equation, we will see that the 3 numbers are:

48, 49, and 50.

<h3>How to find the 3 numbers?</h3>

3 consecutive integers can be written as:

x, x + 1, x + 2

Here we know that 2 times the largest number minus 3 times the smallest one is -44, then:

2*(x + 2) - 3x = -44

We can solve that linear equation for x:

2x + 4 - 3x = -44

(2 - 3)x = -44 - 4

-x = -48

x = 48

Then the 3 numbers are:

  • x = 48
  • x + 1 = 49
  • x + 2 = 50

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

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Hello, I really wants some steps that are simple to solve this problem. I need to find
Oksana_A [137]

Answer:

\frac{13}{8}  +  \frac{13}{4}

\frac{13}{8}  +  \frac{13 \times 2}{4 \times 2}

\frac{13}{8}  +  \frac{26}{8}

\frac{13 + 26}{8}

\frac{39}{8}

hope it helps you :)

3 0
2 years ago
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If the sum of four consecutive numbers is n, what is the first one?
serg [7]

x - first\ number\\\\x,\ x+1,\ x+2,\ x+3-\text{four consecutive integers}\\\\\text{The equation:}\\\\x+(x+1)+(x+2)+(x+3)=n\\\\4x+6=n\ \ \ \ |-6\\\\4x=n-6\ \ \ \ \ |:4\\\\\boxed{x=\dfrac{n-6}{4}}


m, m+1,\ m+2,\ m+3,\ m+4,\ m+5,\ m+6-\text{seven consecutive numbers}\\\\\text{The sum}\\\\m+(m+1)+(m+2)+(m+3)+(m+4)+(m+5)+(m+6)=7m+21

4 0
3 years ago
Heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp and do the order of operation
umka21 [38]

Answer:

<h3>The answer is 7/12.</h3>

Step-by-step explanation:

( \frac{2}{3}  -  \frac{1}{4} ) + ( \frac{1}{2}  \times  \frac{1}{3} )

Solve the terms in the bracket first

That's find the LCM of the ones which are subtracting

LCM of 3 and 4 is 12

That's

\frac{2}{3}  -  \frac{1}{4}  =  \frac{8 - 3}{12}  =  \frac{5}{12}

Next multiply the other terms in the other bracket

That's

\frac{1}{2}  \times  \frac{1}{3}   =  \frac{1}{6}

Add both results

That's

\frac{5}{12}  +  \frac{1}{6}

Find the LCM

The LCM is 12

We get the final answer as

\frac{5}{12}  +  \frac{1}{6}  =  \frac{5 + 2}{12}  =  \frac{7}{12}

Hope this helps you

5 0
3 years ago
A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall chang
BartSMP [9]
Gained 9 yards, then lost 22:

9-22=c
-13=c

Therefore, the football team lost 13 yards in overall change in field position. Meaning, the team didn't gain any yards, they lost 13.
7 0
3 years ago
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System of Equations<br><br> y=-x-1<br> y+x=3<br><br> Solve?
ozzi
Solve by substitution

\sf{y=-x-1}
\sf{y+x=3}

Just plug in y=-x-1 into y+x=3

So we get:

\sf{(-x-1)+x=3}

Simplify that:

\sf{-1=3}

And since that is not true, that means this system of equations has no solutions!
6 0
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