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Natasha2012 [34]
3 years ago
10

How many triangles exist with the given angle measures?

Mathematics
1 answer:
Reptile [31]3 years ago
6 0

Answer:

actually no triangle exists with the given angle measure. more than ONE unique triangle exists with the given angle measures. exactly one unique triangle exists with the given angle measures

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Candy bars are sold in a local store for 60 cents each. The factory has 1000 in fixed costs plus 10 cents additional expense for
pochemuha

Answer:

2000 candy bars sold

$1200 in revenue

Step-by-step explanation:

Terms we need to know:

<u>Cost</u> "C": money needed/used to make the product (factory cost and candy bar expenses)

<u>Revenue</u> "R": money earned from selling the product (candy bars sold in a local store)

<u>Profit</u> "P": money left over after revenue is used to pay costs

<u>Break-even point</u> : when there is no profit (the profit is 0), what is the total revenue and number of items sold?

Create equations for the question:

State your variables.

let 'c' be the number of candy bars sold

R(c) = 0.6c                    Candy bars sell for 60 cents each

C(c) = 0.1c + 1000          10 cents expense per candy bar and factory cost

P(c) = 0          When profit is 0, we are looking to break even

Profit = Revenue - Cost

P(c) = R(c) - C(c)             Substitute the expressions above

P(c) = 0.6c - (0.1c + 1000)

Simplify this equation first. Use the rule for subtracting binomials, where you change the positive/negative for each number inside the brackets.

P(c) = 0.6c - (0.1c + 1000)    Positive in brackets, negative when taken out

P(c) = 0.6c - 0.1c - 1000             Combine like terms

P(c) = 0.5c - 1000            General equation for this problem

0 = 0.5c - 1000                 Remember profit should be 0

<u>Isolate "c"</u> to find how many candy bars made will result in the break-even point.

0 + 1000 = 0.5c - 1000 + 1000        Add 1000 to both sides

1000 = 0.5c

1000/0.5 = 0.5c/0.5             Divide both sides by 0.5

2000 = c          Answer

c = 2000       Variable on left side for standard formatting

Now to find the revenue at the break-even point.

Go back to the revenue equation for this question. Substitute when "c" is 2000.

R(c) = 0.6c

R(2000) = 0.6(2000)        Multiply

R(2000) = 1200              Revenue at break even point

Therefore the break-even point is when 2000 candy bars are sold, which would provide $1200 in revenue.

3 0
3 years ago
Goal: create a budget meal for a day
AVprozaik [17]

My budget meal for a day will be targeted towards people who wants (weight loss) and such I will prepare a food menu of plain rice, vegetables, apple fruit and a cup of mango juice.

The  customer financial capability in ordering food is very simple as it is targeted towards weight loss and as such, the rice is plain along with vegetables and as such, it will be affordable.

The three combination of my budget meal are:

  • Plain rice and vegetable = $3.
  • Plain rice and an apple fruit = $ 2.5.
  • Plain rice and a cup of mango Juice= $ 2.

<h3>What food budget? </h3>

A food budget is known to be the purpose a person has so as to be able to spend on food groceries.

Note that food budget is one that often includes any items a person need to buy more, such as meat, fruit and vegetables, etc.

Learn more about budget meal  from

brainly.com/question/25939288

3 0
2 years ago
A lumber yard has five different lengths of 2 by 4 boards. Based on cost per linear foot, which is the best deal available on 2
ExtremeBDS [4]

Complete Question:

Here is the complete question:

<em>A lumber yard has five different lengths of 2 by 4 boards. Based on cost per linear foot, which is the best deal available on 2 by 4 boards at this lumber yard?</em>

<em>2 × 4 BOARD PRICES </em>

<em>8 foot board for $2.95 </em>

<em>10 foot board for $3.15 </em>

<em>12 foot board for $4.10 </em>

<em>16 foot board for $5.80 </em>

<em>20 foot board for $6.95</em>

Step-by-step explanation:

  • 8 foot board for $2.95

         \frac{2.95}{8}= 0.36875

  • 10 foot board for $3.15

        \:\frac{3.15}{10}=0.315

  • 12 foot board for $4.10

        \frac{4.1}{12}=0.341

  • 16 foot board for $5.80

        \frac{5.8}{16}= 0.3625

  • 20 foot board for $6.95

        \frac{6.95}{20}= 0.3475

Therefore, <em>10 foot board for $3.15</em><em>  </em>is the best deal available on 2 by 4 boards at this lumber yard. It means  you should be able to get 1 board for $0.315 when you buy 10 boards.

3 0
3 years ago
The dimensions of a parking lot are measured in feet. What units will the area be measured in?
mr Goodwill [35]

Answer:

D) feet²

Step-by-step explanation:

Area = side × side

= feet × feet

= feet²

3 0
3 years ago
88, 4x, 12x solve for x
vredina [299]
Wait what....? No equal signs or inequalities...?
7 0
3 years ago
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