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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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Using approximations to 1 significant figure,
malfutka [58]

Answer:

200

Step-by-step explanation:

Given:

0.482 x 61.2^2 ÷ √98.01

61.2^2 = 3745.44

√98.01 = 9.9

So,

0.482 × 3745.44 ÷ 9.9

= 1,805.30208 ÷ 9.9

= 182.35374545454

To one significant figure

= 200

One significant figure means only 1 non zero value and others are zero

5 0
2 years ago
You and your friend are selling tickets to a charity event. You sell 11 adult tickets and 8 student tickets for $158. Your frien
Crazy boy [7]
{11X+8Y=158
{5X+17Y=152

{55X+40Y=790
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{55X+187Y=1672

147Y=882
Y=6
Cost of the ticket for student is $6
3 0
2 years ago
Raya buys a van for £8500 plus VAT at 20%
asambeis [7]

They buy the van for £8,500 + VAT 20%:

Total paid for the van = £8,500 x 1.20 = £10,200

They make 12 payments of £531.25 for a total of:

12 x £531.25 = £6,375

To find the amount of deposit, subtract the total payments from total cost:

£10,200 - £6,375 = £3,825

The ratio of deposit to the payments is: 3825 : 6375

Reduce the answer by dividing both numbers by 75:

3825/75 = 51

6375 / 75 = 85

The ratio becomes: 51/85

6 0
2 years ago
A certain company's main source of income is a mobile app. The company's annual profit (in millions of dollars) as a function of
liberstina [14]

Answer:

x = $3, or x = $11


Step-by-step explanation:

The equation given is P(x)=-2(x-3)(x-11)

where

  • P(x) is the profit, and
  • x is the app price

<u>We want app prices (x's) when profit (P(x)) is 0, so plugging in into the equation:</u>

P(x)=-2(x-3)(x-11)\\0=-2(x-3)(x-11)\\0=(x-3)(x-11)

<em>It means (x-3) = 0  OR  (x-11) = 0</em>

So, x = 3, or 11

7 0
2 years ago
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A convenience store has two separate locations where customers can be checked out as they leave. These locations each have two c
OverLord2011 [107]

Answer:

E(X) = 1.28

Var(X) = 0.6016

E(X | Y=2) = 1.6667

Var(X | Y=2) = 0.4272

Step-by-step explanation:

3 0
2 years ago
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