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Serjik [45]
3 years ago
13

You and your brother each sell lemonade. You spend $35 on supplies and plan to charge $1.50 per cup. Your brother spends $20 on

supplies and plans to charge $1per cup. How many cups of lemonade will each of you have to sell to earn the same amount of money?
Mathematics
2 answers:
Effectus [21]3 years ago
6 0
Let's supposes the number of cups sold is <em>c</em>.

We can use an equation to solve this problem. Since both people are down some money, we will write the number they spent on supplies as negative, and use their rates as the unit rates for each side of the equation.

-35 + 1.50c = -20 + 1c
.05c = 15
c = 30

Thus, they will have to sell 30 cups.

bonufazy [111]3 years ago
3 0

Answer:

Step-by-step explanation:

One way to solve this problem is to set up two expressions: one for your cost and one for your sales. You will break even when both expressions are equal. You can then solve by using inverse operations.

giving you 25

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PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!
STatiana [176]

Considering High School level question, answer can be written as:


A system of 2 linear equations is [two] dimensional. It is a graph of [two] lines. The solutions can be [unique] solution if the graph intersects. [No] solution if the lines are parallel - meaning they have the same slope, or [Infinitely many] solutions if they are the same line.


Explanation:

when two lines are drawn on a two-dimensional plane then there are only three possible cases:

Case1: lines will intersect

In that case you will get a unique solution at the intersection point.


Case2: lines are parallel but don't touch each other

In that case there will be no point which lies on both lines so No solution.


Case3: lines are overlapping.

In that case all the points lies on both lines so infinitely many solutions.


6 0
3 years ago
In a marble collection, 1/8 of the marbles are blue. Of the blue marbles, 1/2 have sparkles. What fraction of the marbles in the
Delvig [45]

Answer:

1/16

Step-by-step explanation:

if half the amount of blue marbles have sparkles you need to divide the amount of blue marbles in half

so 1/2 of 1/8 is 1/16

8 0
3 years ago
Which statements are true?
djyliett [7]

Answer:

All Triangles are closed figure polygons that have three straight sides

Step-by-step explanation:

All 2D shapes are plane figures so this one is false. Three right angles are greater than 180 so this is fake. Polygon and closed figures are shapes with three or more closed sides. And triangles have straight sides.

3 0
3 years ago
If the rectangular menu is 3 feet long by 2 feet wide , what is the area of the menu?
Bess [88]

area = length * width

       = 3 * 2

  = 6 ft ^2

4 0
3 years ago
The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park
bonufazy [111]

Year      New flowers

1                 1200

2                 300

3                   75

There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year

Initially there are 1200 flowers and start decreasing by \frac{1}{4}

So first term is 1200 and common ratio is \frac{1}{4}.

Its a geometric sequence so summation becomes

i =1∑ ∞ 1200(\frac{1}{4})^{i-1}

Now we find the sum

We use sum formula

Sum = \frac{a}{1-r}

Where a is the first term , a= 1200

r is the common ratio , r= 1/4

Sum = \frac{1200}{1-(\frac{1}{4})}

Sum = \frac{1200}{\frac{3}{4}}

Sum = 1600 wildflowers

4 0
3 years ago
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