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Viefleur [7K]
4 years ago
15

Would someone please be able to answer this for me?

Mathematics
1 answer:
kobusy [5.1K]4 years ago
7 0

//Question number 1//

When graphing an inequality there are certain things to keep in mind that make it different from an equation of a line.

Here are some of them:

*You must look out to see whether it will be dashed or solid

*You must know which side of the graph to shade it in

*If they are not in standard form, you have to change them into standard form (THIS ONE MIGHT ACTUALLY APPLY TO A REGULAR EQUATION)

----Basically, the main difference is that in a "normal equation" you have an equal sign while in an inequality you have inequality signs (≤, ≥, <, >)----

//Question Number 2//

------ When using ≤ or ≥ (where they have half the equal sign at the bottom) the line for the inequality would be solid

------ When using < or > (where there is no equal sign- just the inequality sign) the line for the inequality would be dashed

------------------BY THE WAY, I INCLUDED AN ILLUSTRATIO OF AN INEQUALITY GRAPH TO GO ALONG WITH THE 3RD QUESTION----------------




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On the first day a total of 40 items were sold for $356. Define the variables and write a system of equations to find the number
Alina [70]
<h3><u><em>Question:</em></u></h3>

On the first day, a total of 40 items were sold for $356. Pies cost $10 and cakes cost $8. Define the variables, write a system of equations to find the number of cakes and pies sold, and state how many pies were sold.

<h3><em><u>Answer:</u></em></h3>

The variables are defined as:

"c" represent the number of cakes sold and "p" represent the number of pies sold

The system of equations used are:

c + p = 40 and 8c + 10p = 356

18 pies and 22 cakes were sold

<h3><em><u>Solution:</u></em></h3>

Let "c" represent the number of cakes sold

Let "p" represent the number of pies sold

Cost of 1 pie = $ 10

Cost of 1 cake = $ 8

Given that total of 40 items were sold

number of cakes + number of pies = 40

c + p = 40 ------ eqn 1

<u><em>Given items were sold for $356</em></u>

number of cakes sold x Cost of 1 cake + number of pies sold x Cost of 1 cake = 356

c \times 8 + p \times 10 = 356

8c + 10p = 356  ----- eqn 2

<u><em>Let us solve eqn 1 and eqn 2</em></u>

From eqn 1,

p = 40 - c    ---- eqn 3

Substitute eqn 3 in eqn 2

8c + 10(40 - c) = 356

8c + 400 - 10c = 356

-2c = - 44

c = 22

<em>Substitute c = 22 in eqn 3</em>

p = 40 - c

p = 40 - 22

p = 18

Thus 18 pies and 22 cakes were sold

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Answer:

Step-by-step explanation:

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The answer is expression
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