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Mathematics

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arlik [135]2 years ago

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Caroline bakes brownies to give to her friends. She starts with 48 brownies and gives a brownie to 6 friends each hour until she

Dmitrij [34]

Answer: The below figure shows the graph of the given situation.

Step-by-step explanation:

Since, at first Caroline has brownies= 48

And, according to the question, it is decreasing by 6 per hour.

Then, the function of the given situation can be written as,

f(x)=48 - 6 x, ------ (1)

where, x is the number of hours and f(x) is the number of brownies Caroline has left in x hour.

Thus by substitution x= 0,1,2,3,4,5,6,7,8 in equation (1),

We get, f(x)=48, 42, 36, 30, 24, 18, 12, 6, 0

So, the function has points, (0, 48), (1, 42), (2, 36), (3, 30), (4, 24), (5,18 ),(6,12 ) (7, 6) (8, 0).

With help of the above points we can draw the graph of the given situation.

Note: since at x=8, f(x)=0 therefore after 8 hours she has no brownies left.

8 0

2 years ago

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Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If pos

Kamila [148]

Answer:

Step-by-step explanation:

The fractions are: $\frac{1}{5}$ and $\frac{2}{3}$ . Let's take a look at the denominators: 5 and 3. The LCD of 5 and 3 is 15. 5x3=15, 3x5=15. So now we would multiply the denominators to make them the same number like this: $\frac{5}{15}$ and $\frac{10}{15}$ . Remember that if you multiply the denominator by a certain number, you must multiply the numerator by the same number as well. For example, in $\frac{2}{3}$ , we multiply 3 by 5 and 2 by 5. Same number. Now with that out of the way, let's work on the equation: $\frac{1}{5}$ + $\frac{2}{3}$ . We know it is the same as $\frac{5}{15}$ and $\frac{10}{15}$ . So now all we do is add the numerators together: 5+10=15 or $\frac{15}{15}$ . Now we have to reduce the fraction. $\frac{15}{15}$ can be reduced to 3 by dividing 15 by 5=3. The final fraction is $\frac{3}{3}$ or can be simply put as 3 since 3/3 is a whole number. That's it - you're done!