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Lena [83]
2 years ago
13

A teacher plans to buy air fresheners that cost $3.50 each. If the teacher can spend no more than $10 on the air fresheners and

has a $3 discount coupon, which inequality represents the number of air fresheners, x, the teacher can buy?
Mathematics
1 answer:
iris [78.8K]2 years ago
8 0

Answer:

Step-by-step explanation:

We need to create an equation to represent how many air fresheners the teacher can buy.

Teacher has $10 and a $3 discount coupon which would give her an extra $3 to spend. Each air freshener is $3.50.

x = number of air fresheners

($10 + $3) / $3.50 = x        can be written as $13/$3.50 = x

We add $10 and $3 because that gives us the total amount she has to spend.

We divide by $3.50 because that is the cost of each air freshener. The result is the number of air fresheners she can buy.

In this case.

$13/$3.50 = x

3.71 = x   BUT we can't buy part of an air freshener, so she can purchase 3 air fresheners.

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The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t
valentina_108 [34]
The answer is  0 < x <span>≤ 7 
</span>
First, we know that width =  x
Which means that length = x +18

So, the possible equation for the Table's area is

X (X + 18)  ≤ 175

X^2 + 18x - 175  <span>≤ </span>0

Next, we need to calculate is by using complete square method
x^2 + 18x + 81 <span>≤ 175 + 81

(x + 9)^2 </span><span>≤ 256

|x + 9| </span><span>≤ sqrt(256)

|x + 9| </span><span>≤ +-16

-16 </span>≤ x + 9 <span>≤ 16

</span>-16 - 9 ≤ x <span>≤ 16 - 9

</span>-25 ≤ x <span>≤ 7

Since the width couldn't be negative, we can change -25 with 0,

so it become
</span> 0 < x ≤ 7 
7 0
1 year ago
Frenchie’s Tool rental charges customers $16 per hour to rent a riding lawnmower. Make a table of ordered pairs in which the x-c
Bezzdna [24]

Answer:

\begin{array}{cc}x&y\\ \\3&48\\7&112\\8&128\\12&192\end{array}

Step-by-step explanation:

Let x represents the number of hours and y represents the total cost of renting the lawnmower.

Frenchie’s Tool rental charges customers $16 per hour to rent a riding lawnmower, then renting for x hours costs $16x, thus,

y=16x.

When x = 3, then y=16\cdot 3=48

When x = 7, then y=16\cdot 7=112

When x = 8, then y=16\cdot 8=128

When x = 12, then y=16\cdot 12=192

Therefore, the table is

\begin{array}{cc}x&y\\ \\3&48\\7&112\\8&128\\12&192\end{array}

7 0
2 years ago
11) Which situation can be represented by 17.35x &gt; 624.60?
agasfer [191]

Answer:

  J Darren earns $17.35 per hour at his job. How many hours does he need to work in order to earn more than $624.60?

Step-by-step explanation:

You're looking for a situation in which the number 17.35 needs to be multiplied by an unknown quantity.

Scenarios F and G involve addition of 17.35 to something.

Scenario H would correspond to the inequality ...

  17.65x < 624.60

The sign of the given inequality is >, so scenario H is not the one.

__

In scenario J, Darren's total earnings for x hours will be 17.35x, and we want to find x such that this total is greater than 624.60. This matches the given inequality:

  17.35x > 624.60 . . . . . . answer choice J

6 0
2 years ago
A certain company reported selling 5,000 toys during the month of January and expects sales to grow at a rate of 7.5% per month
artcher [175]
The formula is
Fv=p [(1+r)^(t)-1)÷r)
Fv ?
P 5000
R 0.075
T 6. June
Fv=5000 [(1+0.075)^(6)-1)÷0.075]
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6 0
2 years ago
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Which statement is true regarding the graphed functions?
Arada [10]
Idk but what I do know is that u can do it with the help of brainstorming
4 0
2 years ago
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