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nignag [31]
3 years ago
13

A tree in John's backyard has been growing for 4 1/2 years. The tree is 4/5 meters tall. What is the unit rate in meters per yea

r? No links or I will report. Answer in a fraction or mixed number in simplest form or whole number. Answer fast please.
Mathematics
1 answer:
STatiana [176]3 years ago
4 0

Answer:

<u>5 127/200 meters</u>

Step-by-step explanation:

4 1/2 = 4 5/10 | 4/5 = 8/10

--------------------------------------

4 5/10 = 4.5 | 8/10 = 0.8

--------------------------------------

4.8 divided by 0.8 = 5.625

--------------------------------------

5.635 = 5 635/1000

635/1000 divided by 5 = 127/200

--------------------------------------

5 + 127/200 = <u>5 127/200</u>

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What is the probability that a marble chosen at random is
Brums [2.3K]

Answer:

P=\frac{6}{11}

Step-by-step explanation:

The probability can be defined as the ratio between the possible events and the total number of outcomes.

In this case, according to the image attached, the total number of outcomes is 11, because they are 11 marbles in total.

Now, the specific event is all shaded marbles or labeled with a multiple of 3. With this specific characteristics 6 marbles, because there are 5 shaded marbles and 6 is a multiple of 3. So, the possible events are 6.

Therefore, the probability is

P=\frac{6}{11}

The right answer is the last choice.

4 0
3 years ago
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What is the equation in slope intercept form of the line that passes through the point (2,-2) and is perpendicular to the line b
Gala2k [10]

Answer:

y= - 5/2x - 2

Step-by-step explanation:

Y=2/5x + 2

Making it perpendicular, the slope will change to it's reciprocal and swap operations (+ becomes -). 2/5 will be -5/2. We already know the y-intercept which is -2, so simply put, the equation in slope-intercept form is y = -5/2x - 2

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3 years ago
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Find the solution to the inaquality<br> N+35&lt;22
NikAS [45]

Step-by-step explanation:

N + 35 < 22

To find a solution to this inequality, we need to get N to one side of the equation by itself. Since we have N + 35 on the left-hand side of the equation, we can get

N + 35 < 22

N + 35 - 35 < 22 - 35

N < -13

7 0
3 years ago
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Solve the differential equation. y' + 5xey = 0.
Gwar [14]

Answer:

The solution is     y = - ln(\frac{5}{2}x^{2} + C)

Step-by-step explanation:

To solve the differential equation, we will find y

From the given equation, y' + 5xey = 0.

That is, y' + 5xe^{y} = 0

This can be written as

\frac{dy}{dx} + 5xe^{y} = 0

Then,

\frac{dy}{dx} = - 5xe^{y}

\frac{dy}{e^{y}}   = - 5x dx

Then, we integrate both sides

\int {\frac{dy}{e^{y}}}  =\int {- 5x dx}

\int {e^{-y}dy }}  =\int {- 5x dx}

Then,

-e^{-y} = -\frac{5}{2}x^{2} + C

e^{-y} = \frac{5}{2}x^{2} + C

Then,

ln(e^{-y}) = ln(\frac{5}{2}x^{2} + C)

Then,

-y = ln(\frac{5}{2}x^{2} + C)

Hence,

y = - ln(\frac{5}{2}x^{2} + C)

8 0
3 years ago
Yo is this correct? A group of students go out to lunch. If four have burritos and two have tacos, the bill will be $19.00. If t
frez [133]

Answer:

The price of the burrito is $3.5 and the price of the taco is $2.5.

Step-by-step explanation:

2x+5y=19.5

5x+2y=22.5

------------------

5(2x+5y)=5(19.5)

-2(5x+2y)=-2(22.5)

-----------------------------

10x+25y=97.5

-10x-4y=-45

-----------------------

21y=52.5

y=52.5/21=2.5

2x+5(2.5)=19.5

2x+12.5=19.5

2x=19.5-12.5

2x=7

x=7/2=3.5

x=3.5, y=2.5

The price of the burrito is $3.5 and the price of the taco is $2.5.

4 0
3 years ago
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