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NeX [460]
3 years ago
15

3.) mr. smith’s class sold wrapping paper for $3.50 each and mr. davis’ class sold magazines for $2.75 each. together, the class

es sold 72 items and earned $222 for their school. a. write and solve a system of equations that model the problem. show all your work. Need answer ASAP!!!!!

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0

Answer:

The number of wrapping paper sold was 32 and the number of magazines sold was 40

Step-by-step explanation:

Let

x ----> the number of wrapping paper sold

y ----> the number of magazines sold

we know that

The classes sold 72 items

so

x+y=72 ----> equation A

The classes earned $222 for their school

so

3.50x+2.75y=222 ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is (32,40)

see the attached figure

therefore

The number of wrapping paper sold was 32 and the number of magazines sold was 40

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write an equation for the line that passes through (5,-4) and is perpendicular to the graph of 5x -2y=-6
Vadim26 [7]

Answer:

y = (-2/5)x - 2

Step-by-step explanation:

One way to attack this problem is to interchange the coefficients of x and y and change the sign of one to +:  5x - 2y = -6 becomes 2x + 5y = c.  Solving for the slope, m, we get 5y = -2x + c first, and then y = (-2/5)x + D.

Subbing 5 for x and -4 for y, we now have -4 = (-2/5)(5) + D.

Then -4 = -2 + D, so that D = -2.

The desired equation is thus y = (-2/5)x - 2.

Check:  Does this pass through (5, -4)?  Is -4 = (-2/5)(5) - 2 true?  Yes.

Is the slope -2/5 the negative reciprocal of 5/2?  Yes, it is.


6 0
3 years ago
Please Help !!!!
swat32
The answer is A. Here's the equation graphed and shows why the answer is A

8 0
3 years ago
angelo's mother put $50 on a lunch card he spends the same amount each day for lunch. what is the constant rate of change for th
Rina8888 [55]

Given that Angelo spends the same amount everyday from the amount in

the lunch card, the function of the amount remaining is a linear function.

  • The constant rate of change of the function is; <u>-5.25</u>
  • The two ordered pair used to find the constant rate of change are; <u>(1, 44.75) and (2, 39.5)</u>

Reasons:

The amount Angelo's mother put on the lunch card = $50

A possible table of values to the question is presented as follows;

\begin{tabular}{r|c|c|c|c|}Days&0&1&2&3\\Money Remaining&&44.75&39.5&\end{array}\right]

Required:

The constant rate of the function that gives the amount remaining from the

amount Angelo's mother put on his lunch card.

Solution:

  • Slope \ or \ constant \ rate \ of \ change  = \mathbf{\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}

The two ordered pair that can be used to find the slope or constant rate of change are;

(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)

With the above two ordered pairs, we have the constant rate of change of the function given as follows;

Constant \ rate \ of \ change\  (The \ slope) =\dfrac{39.5-44.75}{2-1} = \mathbf{ -5.25}

The constant rate of change for the function that gives the amount remaining in the lunch card is; <u>-5.25</u>

Learn more about the constant rate of change of a function here:

brainly.com/question/10007759

brainly.com/question/16644839

3 0
2 years ago
Reduce this fraction to lowest terms. 27/45<br><br> A.3/5<br> B.9/15<br> C.5/9
Mama L [17]
The simplest form for this fraction is (A)
You divide both the numerator and denominator by 9, you will get 3/5.
so the answer is A.
5 0
3 years ago
I have having a problem with this equation 3(-2-3x) = -9x-4
inn [45]

Answer:

3(-2-3x) = 9x-4

-6-9x = 9x-4

-6+6-9x = 9x-4+6

-9x = 9x+2

-9x-9x = 9x-9x+2

-18x = 2

-18x÷(-18) = 2÷(-18)

x = -(1/9)

Thank you

BY GERALD GREAT

6 0
3 years ago
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