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Over [174]
2 years ago
10

The sum of two numbers is 201 and their difference is 69. Find the numbers.

Mathematics
2 answers:
Darya [45]2 years ago
7 0

Answer:

let  \: the \:  numbers  \: be  \: x \: and \: y \\  then \\

x + y = 201(equation \: 1) \\ x - y = 69(equation \: 2)

According to 2nd equation

x = 69 + y

Putting the value of x in the first equation

69 + y + y = 201 \\  \implies \: 69 + 2y = 201 \\  \implies \: 2y = 201 - 69 \\  \implies \: y = \frac{132}{2}

\implies \: y = 66

We know that

x = y + 69 \\  \implies \: x = 66 + 69 \\  \implies \: x = 135

If you have any doubts you can comment and ask

trasher [3.6K]2 years ago
4 0

Answer:

135 and 66

Step-by-step explanation:

Solve the system of equations

Equation 1: x + y = 201

Equation 2: x - y = 69

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Given that (-8,-5) is on the graph of f(x), find
Lemur [1.5K]

Answer:

(-6,-5)

Step-by-step explanation:

Let a function be f(x)

So, f(x-a) would be the same function BUT translated a units to the RIGHT.

So, that changes all x coordinates a units to the right (+a) and all the y-ccordinates remains same.

Our function goes through the transformation f(x-2), which means 2 units to the right, so we "ADD" 2 to all x-coordinates and y remains same.

Thus, the point (-8,-5) would become (-8+2,-5) = (-6,-5)

7 0
3 years ago
Mike put 210 baseballs into 7 trash bins. He put the same number of baseballs in each bin. He took 2 trash bins of baseballs to
OLEGan [10]

Answer:

D. 60

Step-by-step explanation:

210 baseballs divided evenly between 7 trash bins = 30 balls per bin

2 trash bins multiplied by 30 balls per bin = 60 balls in two bins

Hope this helps!

4 0
2 years ago
<img src="https://tex.z-dn.net/?f=5x%2B7x-1%2F2x%2B1%2F4%3D6%5C%5Cx%3D%3F" id="TexFormula1" title="5x+7x-1/2x+1/4=6\\x=?" alt="5
fredd [130]

Answer:

Step-by-step explanation:

5x + 7x - 1/2x + 1/4 = 6

move x to one side move numbers to the other side

5x + 7x - 1/2 x = 6 - 1/4

add x and numbers

23/2x = 23/4

divide both side by 23/2

x = (23/4)/(23/2)

  = 1/2

plug it in to check the answer

5/2 + 7/2 - 1/4 + 1/4 = 6

12/2 = 6

6 0
2 years ago
At Karl's Exact Ice-Cream, Karl fills each cone completely and tops it off with a scoop on top. Approximately how much ice-cream
hammer [34]

Answer:

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8 0
3 years ago
Which of the following equations describes the line shown below? Check all
Setler79 [48]

Answer:

y = -1/2 x + 2

Step-by-step explanation:

Which of the following equations describes the line shown below? Check all

that apply.

(-4, 4)

(2, 1)

The standard equation of a line is y = mx,+b

m is the slope

b is he y-inttercept

Get the slope

Slope m = y2-y1/x2-x1

Substitute the coordinate

M = 1-4/2-(-4)

M = -3/6

M = -1/2

Substitute m= -1/2 and (2,1) into y = mx+b

1 = -1/2(2)+b

1 = -1+b

b = 1+1

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Get the equation

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y = -1/2 x + 2

3 0
3 years ago
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