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vredina [299]
3 years ago
11

The sum of two numbers a is 57. The difference between the two numbers is 15. What are the two numbers?

Mathematics
1 answer:
allochka39001 [22]3 years ago
7 0
Okay let's set this up as an equation
x + y = 57
y - x = 15

Let's solve this by substitution.
Change y - x = 15 to y = 15 + x.

x + (15 + x) = 57
x + 15 + x = 57
2x + 15 = 57
2x = 42
x = 21

Okay so the first number is 21, let's plug that into the first equation.


x + y = 57
21 + y = 57
y = 57 - 21
y = 36
the two numbers are 21 & 36 :)
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One number is 4 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 256 f
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Answer: one number is 104, the first number is 26 and the third number is 126

How to:

Let’s say the “first number” is Y, the “second number” is X, and the “third number” is Z. This makes Y=4x and Z=x+100. Then put it into an equation to find the sum: X+4x+x+100=256. Take away 100 from both sides of the equation and combine the like terms (the X’s). That leaves 6x=156. Then divide both sides by 6 to get x alone which is x=26. That is the first number. To find Y just multiply X by 4 and that’s Y=104. And lastly add 100 to x which is Z=126.

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Determine whether a triangle can be formed with the given side lengths. If the side lengths can form a
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Yes it can

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Theresa won a gardening contest and was awarded a roll of deer-proof fencing. The fencing is 36 feet long. She and her husband,
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Answer:

see below

Step-by-step explanation:

It is given that the roll of fencing is 36 ft long. Hence the perimeter of the fencing is 36 ft long.

Since the fence is to be rectangular,

Perimeter = (2 x Length ) + (2 x Width) = 36 feet

The quickest would be using calculus, but the most simple way (without using polynomials) would be to simply list the possibilities for Length and Width:

If we consider only half of the perimeter, i.e only 1 Length and 1 Width:

From the formula above,

(1/2) of Perimeter = Length  + Width = 18 feet

Given that the Length & Width are to be whole numbers AND that the sum of Length & Width adds up to 18, then the possible dimensions and area are as follows:

Assemble a table in the following format:

Length x Width = Area

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17 x 2 = 34

16 x 3 = 48

15 x 4 = 60

14 x 5 = 70

13 x 6  = 78

12 x 7 = 84

11 x 8 = 88

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9 x 10 = 90 (anything from here onward basically repeats the previous lines, so we ignore this line and any others that follow)

a) The possible dimensions are everything listed in the table above except the last line which is repeated

b) we can see plainly that the maximum area is 10ft x 9ft = 90 sq feetand the minimum area is 18ft x 1ft = 18 sq feet

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4 years ago
What is the answer for 2
elena55 [62]

Answer:

C

Step-by-step explanation:

73.89 x .05 = 3.6945

but to round it will become 3.69

3 0
4 years ago
Read 2 more answers
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