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fgiga [73]
3 years ago
15

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Ma

th Pentathlon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass
A x+2y>240
B x+2y≤240
C x+2y≥240
D x+2y<240​
Mathematics
1 answer:
yawa3891 [41]3 years ago
6 0

Answer:

x+ 2y ≥  240  is the linear inequality in standard form for this situation.

Step-by-step explanation:

Let the number of hot chocolates sold = x

Cost of each hot chocolate = $1

Let the number of apple ciders sold = y

Cost of each hot chocolate = $2

So, the total amount earned =  x ( $1)  + y ($2)

Also, the total amount earned should at least be $240

Hence, according to the question

x+ 2y ≥  240  is the linear inequality in standard form for this situation.

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SHOW YOUR WORK and ill give brainlest :)
Rashid [163]

The price of the Xbox One after tax is $265

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

The price of a Xbox one is $250

The tax on Xbox one is 6%  

Now, the tax of 6% on 250 is calculated as follows:-

=\frac{6}{100} \times 250\\\\=\frac{250 \times 6}{100}=\frac{1500}{100}=15

So, the tax on Xbox one is $15

The total price of box including tax can be calculated by adding price of box and tax on box

<em>Total price of Xbox after tax = actual price of the Xbox One  + Tax on the Xbox One </em>

= $250 + $15

= $265

Hence, the price of the Xbox One after tax is $265

3 0
3 years ago
Use set notation to denote the elements, subsets, and complements of the following given sets.
vlabodo [156]

Answer:

N = {13, 15, 17, 19} is the correct answer.

Step-by-step explanation:

<u>We are given with the following details:</u>

N is the set of odd natural numbers.

N contains the elements which are greater than 11 and less than 21.

<u>To write:</u> The set notation for the elements of set N.

<u>Solution:</u>

First of all, let us see what are odd natural numbers.

Natural numbers are the positive integers i.e. {1,2,3,4, ........ }

Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}

Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.

So the <em>answer will be N = {13,15,17,19}.</em>

<em></em>

7 0
3 years ago
Christine, Dale, and Michael sent a total of 71 messages during the weekend. Dale sent 9 fewer messages than Christine. Michael
Alisiya [41]

Answer:

Micheal sent 40 messages, Christine sent 20, and Dave sent 11.

Step-by-step explanation:

Christine, Dale, and Michael sent a total of 71 messages

C + D + M = 71

Dale sent 9 fewer messages than Christine

D = C - 9

Michael sent 2 times as many messages as Christine

M = 2C

Plug-in the numbers.

C + C - 9 + 2C = 71

4C - 9 = 71

4C = 80

C = 20

Now, plug in to other equations for other results.

D = (20) - 9

D = 11

M = 2(20)

M = 40

Micheal sent 40 messages, Christine sent 20, and Dave sent 11.

Verify?

40 + 20 + 11 = 71.

5 0
3 years ago
Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. The doctor recommends rest
ra1l [238]

The doctor recommends rest if the patient has the flu. Then the correct option is A.

<h3>What is decision-making?</h3>

Determining the proper option, acquiring evidence, and exploring various options are all steps in the decision-making process.

Read the following two statements.

Then, if possible, use the Law of Detachment to draw a conclusion.

Then the correct option is A.

The doctor recommends rest if the patient has the flu.

More about the decision-making link is given below.

brainly.com/question/3369578

#SPJ1

8 0
2 years ago
What is 11/6 in simplified form
MissTica

Answer:

1 5/6

Step-by-step explanation:

hope this helps

6 0
3 years ago
Read 2 more answers
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