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Cloud [144]
3 years ago
6

Mary plants roseas in 1/4 of her garden. She also plants some tulips in her garden. She has 1/12 of the garden left to plant mor

e flowers. What fraction of Mary's garden has tulips?
Mathematics
1 answer:
zysi [14]3 years ago
7 0

Answer:the fraction of Mary's garden that has tulips is 2/3

Step-by-step explanation:

Let x represent the full area if Mary's garden.

Mary plants roses in 1/4 of her garden. This means that the portion of the garden on which she planted roses would be 1/4 × x = x/4

She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. This means that the portion if the garden that she has left to plant more flowers would be 1/12 × x = x/12

The portion of the garden on which she planted tulips would be

x - (x/4 + x/12) = x - (3x + x)/12 = x - 4x/12

x - x/3 = (3x - x)/3 = 2x/3

Therefore, the fraction of Mary's garden that has tulips would be

(2x/3) /x = 2/3

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I need to know what the equation is for this graph..
Lostsunrise [7]

Answer:

The choice second

y =  \frac{1}{3}  \times ( \frac{1}{4} ) ^{x}

3 0
2 years ago
A carpenter purchased 50 ft of redwood and 80 ft of pine for a total cost of $285. A second purchase, at the same prices, includ
Marizza181 [45]

Hey there!!

Let us take the price of the redwood as ' x ' and pine as ' y '

Then , we take it into an equation. We get,

50x + 80y = 285 -------------- ( 1 )

80x + 50y = 339 -------------- ( 2 )

Now, multiply the first equation with 8 and the second equation with 5

400x + 640y = 2280

400x + 250y = 1695

Now subtract the second equation from the first

390y = 585

y = 585 / 390

y = $1.5

Now substitute this into any equation

50x + ( 80 ) ( 1.5 ) = 285

50x + 120 = 285

50x = 165

x = 165 / 50

x = $3.3

Redwood = $3.3

Pine = $1.5

Hope helps!



6 0
3 years ago
Taj has a choice of water, iced tea, or lemonade; with lemon or lime twist; served in a small or large glass. how many more choi
shusha [124]

Answer:

Total number of choices with a straw:  12

Total number of choices without a straw: 12

Total number of choices: 24

Step-by-step explanation:

Taj has a choice of:

  • water, iced tea, or lemonade (3 options)
  • with lemon or lime twist (2 options)
  • served in a small or large glass (2 options)

This made a total of 3*2*2: 12 different choices

if the drink can be served with or without a straw, he choices are doubled, making a total of 2*12 = 24

5 0
3 years ago
Help it’s slope idk how to do it
Over [174]

a. \boxed{y-602=\frac{2}{3}(x-3)}

b. For every month the pine tree grows about 0.67 inches.

c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.

<h2>Explanation:</h2>

<h3>PART A.</h3>

In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:

P_{1}(3,602) \\ \\ P_{2}(6,604) \\ \\ P_{3}(q,606) \\ \\ P_{4}(12,608)

It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.

The point slope form of the equation of a line is:

y-y_{1}=m(x-x_{1}) \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{1}, y_{1}):A \ point \ on \ the \ line

Finding (m):

Using: \\ \\ P_{1}(x_{1},y_{1}) \rightarrow P_{1}(3,602) \\ \\  P_{2}(x_{2}, y_{2}) \rightarrow P_{2}(6,604) \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{604-602}{6-3} \\ \\ m=\frac{2}{3}

Finally, the equation of the line is:

(x_{1}, y_{1}) \rightarrow (3,602) \\ \\ \boxed{y-602=\frac{2}{3}(x-3)}

<h3>PART B.</h3>

In this case, we have that:

  • The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
  • The y-axis represents the <em>Height  of the Tree </em>in inches.

Since the slope o a line is:

Slope=\frac{Change \ in \ y}{Change \ in \ x}=\frac{2}{3}

Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>

<h3>PART C.</h3>

The y-intercept can be found setting x=0. So, from our equation:

y-602=\frac{2}{3}(x-3)} \\ \\ \\ If \ x=0: \\ \\ y-602=\frac{2}{3}(0-3) \\ \\ y-602=-2 \\ \\ Solving \ for \ y: \\ \\ y=602-2 \\ \\ y=600

So the y-intercept is y=600 and<em> represents the height of the tree at the moment Ariel started to record the heights.</em>

<h2>Learn more:</h2>

Slope Intercept form: brainly.com/question/4192440

#LearnWithBrainly

4 0
3 years ago
You are working on an assignment for your statistics class. You need to estimate the proportion of students at your college who
Ede4ka [16]

Answer:

B, Work with the math instructors to create a list of students currently taking a math class. Randomly select

Step-by-step explanation:

Let's think of each scenario at a time.

(A) We select 100 students enrolled in college randomly that should be fine because we are taking only students that can take classes. this rules out faculty members and any other persons but also there may be students that will never take any math course as part of their study plan, this is ruled out on that basis.

(B)if we take 100 students from the list of math instructor, that will ensure that we have taken students that are taking math class now, and math is part of their study plan, seems fine.

(C) visiting cafeteria randomly on multiple days will give us random persons that may not even be enrolled in university. this can be ruled out on that basis.

(D)Ten class at random and surveying each student in every class will make sampling size large or small depending on students enrolled in each of the class this will not give us reliable results.

We can conclude that (B) is the beast method for obtaining reliable results.

6 0
3 years ago
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