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Paul [167]
2 years ago
12

SGA is doing a fundraiser to sell candles for project graduation. Small candles cost $4.00 and large candles cost $6.00. They ha

ve at most 50 candles, and want to make at least $100. Which system of linear inequalities represents the situation? x: The number of small candles y: The number of large candles
Mathematics
1 answer:
mafiozo [28]2 years ago
3 0

Given:

Cost of small candles = $4.00

Cost of large candles = $6.00

They have at most 50 candles, and want to make at least $100.

To find:

The system of linear inequalities represents the situation.

Solution:

Let x be the number of small candles and y be the number of large candles.

At most 50 candles means total candles must be less than or equal to 50.

x+y\leq 50

Want to make at least $100. It means, the total sales must be greater than or equal to $100.

4x+6y\geq 100

Therefore, the inequalities in the system of linear inequalities are x+y\leq 50 and 4x+6y\geq 100.

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For what values of <img src="https://tex.z-dn.net/?f=x" id="TexFormula1" title="x" alt="x" align="absmiddle" class="latex-formul
11Alexandr11 [23.1K]

Answer:

x1

Step-by-step explanation:

We have:

(x+5)(x-1)

And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:

(x+5)(x-1)>0

Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:

(x+5)(x-1)=0

Zero Product Property:

x+5=0\text{ or } x-1=0

On the left, subtract 5.

On the right, add 1.

So, our zeros are:

x=-5, 1

Since our inequality is a <em>greater than</em>, our answer is an "or" inequality with our answer being all the values to the <em>left</em> of our lesser zero and all the values to the <em>right </em>of our greater zero.

So, our solution is:

x1

And we're done!

7 0
2 years ago
Read 2 more answers
Part A: Solve −np − 80 &lt; 60 for n. Show your work. (4 points)
morpeh [17]
Solution:

1) Add 80 to both sides
-np<60+80

2) Simplify 60+80 to 140
-np<140

3) Divide both sides by p
-n<\frac{140}{p}​​

4) Multiply both sides by -1
n>-\frac{140}{p}

Done!
7 0
3 years ago
What is the solution to the system below? <br> 3x + y = 11<br> y = x + 3
alexgriva [62]

Answer:

x = 2

y = 5

Step-by-step explanation:

3x + y = 11 equation (1)

-x + y = 3 multiply this equation by -1

x - y = -3 equation (2)

by adding 2 equations

4x = 8

x = 2

by sub. in Equation (2)

2 - y = -3

y = 2+3

y = 5

5 0
3 years ago
Figure 14-3
enot [183]
The answer is D. SIS idk how to do this
Ur welcome
5 0
3 years ago
In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Joyce has s
d1i1m1o1n [39]

Answer:

66 ≤ f ≤100

Explanation

Mean= ( Σ x ) / n

Mean= sum of scores/ number of subject she took

Now, she already too 3 subject which sum is 85+83+86=254

Now we need to know range of score for her to have (grade) a mark between 80 and 89

Now let take the lower limit mean=80

The lowest score she can get is

Mean = ( Σx) / n

80=(85+83+86+f)/4

80×4= 254+f

Therefore, f= 320-254=66

Therefore the minimum score she can have to have a B is 66.

Then, let take the upper limit mean 89. i.e the maximum she can have so that she don't have an A grade.

Mean = ( Σx) / n

89=( 83+85+86+f)/4

89×4= 254+f

f= 356-254

f=102.

Therefore this shows that she cannot have an A grade in the exam. The maximum score for the exam is 100.

There the range of score is 66 ≤ f ≤100 to have a B grade

66 ≤ f ≤100 answer

Since she cannot score 102 in the examination.

8 0
3 years ago
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