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k0ka [10]
2 years ago
15

Three teachers equally shared StartFraction 4 Over 5 EndFraction of a flat of paper that was donated to the school. What fractio

n of the flat of paper did each teacher receive?
Mathematics
1 answer:
melisa1 [442]2 years ago
4 0

Answer:

Each = \frac{4}{15}

Step-by-step explanation:

Given

Fraction = \frac{4}{5}

Teachers = 3

Required

Determine fraction of each teacher

Each fraction is calculated by dividing total fraction by number of teachers as follows:

Each = \frac{Fraction}{Teachers}

Each = \frac{4}{5}/3

Each = \frac{4}{5} * \frac{1}{3}

Each = \frac{4}{15}

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The maximum recommended slope of wheelchair ramp is 1/12. A business installs a wheelchair ramp that rises 22inches over a horiz
Olin [163]

Given parameters:

Recommend wheelchari ramp slope  = \frac{1}{12}  

Rise of the new wheel chair ramp  = 22 inches

Horizontal length  = 24feet

Unknown:

Is the ramp steeper than the recommended  = ?

Slope is the ratio of rise to the horizontal distance covered

 Mathematically;

                 Slope = \frac{Rise}{horizontal distance}

Slope of the wheel chair ramp;

                covert 24 feet to inches;

        1 foot = 12 inches

        24 feet  = 24 x `12  = 288inches

Slope  = \frac{22}{288 }   = \frac{11}{144}

The two slopes being compared are;

               \frac{1}{12}  and \frac{11}{144}

The steeper of the first one 1/12. It has a higher slope compared to the second one.

4 0
2 years ago
Tiana has already taken 1 page of notes on her own, and she will take 1 page during each hour of class. In all, how many hours w
Novosadov [1.4K]

Answer:

<u>42 Hours.</u>

Step-by-step explanation:

As an equation where y is the total pages and x is hours of class:

y=1+1x since she started with 1 page and does 1 page per hour.

Setting the total pages she needs as 43 (y=43) we get:

43=1+1x

Subtract one on both sides

42=1x

The 1 doesn't need to be written so

x=42

Therefore, it'll take her 42 hours to write all those notes.

4 0
2 years ago
The number of species n found on islands typically increases with the area of the island A. Suppose that this relationship is su
Crazy boy [7]

Answer:

n(A) = n_1A^k

Step-by-step explanation:

Taking into account that the growth rate of the number of species on the island is proportional to the density of species (number of species between area of the island), a model based on a differential equation is proposed:

\frac{dn}{dA} = k\frac{n}{A}

This differential equation can be solved by the method of separable variables like this:

\frac{dn}{n} = k\frac{dA}{A} with what you get:

\int\ {\frac{dn}{n}}\ = k\int\ {\frac{dA}{A}}

ln|n| = kln|A|+C. Taking exponentials on both sides of the equation:

e^{ln|n|} = e^{ln|A|^{k}+C}

n(A) = e^{C}A^{k}

how do you have to n (1) = n_1, then

n(A) = n_1A^k

8 0
2 years ago
RQ is tangent to Circle S. Use the diagram below to find the measure of QRS. mQRS &lt; 90 mQRS &gt; 90 mQRS = 90 not enough info
Masteriza [31]
Given that you did not include the diagram showing the circle, the tangent line and the points Q, R, and S, I am going to give you the explanation to answer the question.

1) The tangent lines to a circle form a 90° angle with the radius at the point of intersection.

2) Therefore, if the point of intersection of the tangent line and the circle is named R, and the points S and Q are one the center of the circle and the other is on the line RQ, then you know that the segment SR is a radius and the line RQ is the tangent, which means that they are perpendicular, i.e. the angle QRS is measures 90°.

In this case the answer is m angle QRS = 90°.

3) Otherwise the angle is different to 90° and you need to observe the figure to conclude whether it is greater than 90°, less than 90° or there is not enough information.
7 0
2 years ago
The table shows the relationship between time spent running and distance traveled. A 2-column table with 5 rows. The first colum
user100 [1]

Answer:

Step-by-step explanation:

It is not perfectly linear because the difference between the y values is not constant. However, when you use the regression function on your calculator and enter the L1 values as your x's and the L2 values as your y's and use the LinReg equation, you get an r-squared value of .999900 and an r value of .999950. So it linear, with your answer being "linear, because the r value for the linear model is closest to 1".

4 0
2 years ago
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