Plz solve this question

Mathematics

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Hatshy [7]3 years ago

4 0

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Mr. Flanders’ class sold doughnuts for $1.35 each and Mr.Rodriquez’s class sold cartons of milk for $1.08 each together the clas

saul85 [17]

Answer:

Part A: Let, the number of doughnuts = x and the number of carton milk = y.

Part B: We have, Mr. Flanders sold doughnut for $1.35 each and Mr. Rodriquez sold milk for $1.08 each.

As, they sold 85 items in total.

Thus, x + y = 85.

Moreover, they both earned $104.49 in total.

So, 1.35x + 1.08y = 104.49.

Hence, we get the system of equations,

1.35x + 1.08y = 104.49

x + y = 85.

Part C: Now, we will solve the system of equations,

As, x + y = 85 ⇒ y = 85 - x.

As, 1.35x + 1.08y = 104.49 ⇒ 1.35x + 1.08(85-x) = 104.49 ⇒ 1.35x + 91.8 - 1.08x = 104.49 ⇒ 0.27x = 12.69 ⇒ x = 47.

So, y = 85 - 47 ⇒ y = 38.

Thus, x = 47 and y = 38 is the solution.

Part D: Hence, we get that,

Number of doughnuts sold by Mr. Flanders is 47 and the number of carton milk sold by Mr. Rodriquez is 38.

4 0

3 years ago

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

Pepsi [2]

Answer:

Step-by-step explanation:

Two lines are perpendicular if the first line has a slope of $m$ and the second line has a slope of $\frac{1}{-m}$ .

With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:

$5x - 2y = -6$

$-2y = -5x - 6$

$y = \frac{5}{2}x + 3$

We now know that $m = \frac{5}{2}$ for the first line, which means that the slope of the second line is $m = \frac{-2}{5}$ . With this, we have the following equation for our new line: