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salantis [7]
3 years ago
14

Gina's number is 2 more than sara's. the sum of their numbers is 68. what are their numbers?

Mathematics
2 answers:
ikadub [295]3 years ago
8 0

In order to solve this problem, we transform the statements into algebraic expressions. First, we assign the variables.

 

Let:

x = Gina’s number

y = Sara’s number

 

For the first equation, we show that Gina’s number is greater than Sara’s number by 2. For the second equation, we show that the sum of both numbers is 68.

<span>(1)  </span>x – y = 2

<span>(2)  </span>x + y = 68

 

<span>We add the two expressions, which result in the expression: 2x = 70. Then we divide 70 by 2 to get the value of x. We then have x = 35. Using the second equation, we solve for y = 68-35. This gives y = 33. To summarize, Gina’s number is 35 while Sara’s number is 33.</span>
HACTEHA [7]3 years ago
7 0

Answer:

Gina=35, Sara=33

Step-by-step explanation:

Gina's number is <u>2 more</u> than Sara's.

Lets start by saying cookies as the number.

Sum = 2 numbers add together. The answer to the equation. Lik 5+5=10. 10 is the sum.

You only know that Gina has 2 more cookies than Sara.

If Sara has 3 cookies then Gina has 5 cookies. Whats the Sum? 8.

So, you figure out an random big number but, smaller than 68.

Lets do 68 to try now.  So you do 68/2 = 34. You remember that Gina has 2 more than Sara. So, 35 cookies for Gina. So, you can guess that Sara has 33 cookies.

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Answer:

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b.-5

c.-5

Step-by-step explanation:

In order to find the average rate of change of a function , we divide the change in the output value by the change in the input value.

Generally, the average rate of change (ARC) on an ecuatios  between two points (x1,f(x1)) and (x2,f(x2)) is

  • ARC = [f(x2)-f(x1)]/ (x2-x1)

<em>In case a)</em>

f(-1)= -5*(-1)-8=5-8= -3          f(3)= -5*3-8= -23

Then ARC= (-23-(-3))/(3-(-1))=-20/4=-5

<em>In case b)</em>

f(a)= (-5a-8)

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<em>In case c)</em>

f(x)= -5x-8

f(x+h)= -5(x+h)-8= -5x-5h-8

then ARC= [(-5x-5h-8)-(-5x-8)]/(x+h-x) =-5h/h= -5

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In other words, if we put an <em>x</em> into our function, we get a -3x + 2 out so what happens when we put a 2 into the function?

Well if we put a 2 into the function,

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Now all we have to do is simplify on the right side.

-3(2) is -6 so we have -6 + 2 which is -4.

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3 years ago
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