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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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Answer: is going to be 36 because all you have to do is multiply something that it multiplyed by 5 to get 180 and you'll get your answer

Step-by-step explanation:


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Dexter deposited 6,300 into a saving account that earns 2.60% simple interest per year. How much interest will she earn in 4 yea
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3 years ago
A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s
Setler [38]

Answer:

310\text{ feet and }210\text{ feet}

Step-by-step explanation:

GIVEN: A farmer has 520 \text{ feet} of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is 310 \text{ feet}.

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be x and y

perimeter of rectangular pen =2(x+y)=520\text{ feet}

                                                x+y=260

                                               y=260-x

area of rectangular pen =\text{length}\times\text{width}

                                       =xy

putting value of y

=x(260-x)

=260x-x^2

to maximize \frac{d \text{(area)}}{dx}=0

260-2x=0

x=130\text{ feet}

y=390\text{ feet}

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen =310\text{ feet}

                              width of rectangular pen =210\text{ feet}

Maximum area of rectangular pen =310\times210=65100\text{ feet}^2

Hence maximum area of rectangular pen is 65100\text{ feet}^2 and dimensions are 310\text{ feet and }210\text{ feet}

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30 minutes after 7:30 would be 8:00 PM
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