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3 years ago

Work out the value of 10 fourths

Mathematics

1 answer:

lora16 [44]3 years ago

5 0

Answer:

10/4 equals 2 1/2 when simplified.

Step-by-step explanation:

10/4 = 2 2/4 or 2 1/2 when simplified.

This is because, 4 x 2 = 8, and 8 + 2 (or 1/2 of 4) = 10.

Hope this helps! :D

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What is the equation of the line that passes through the point (-2,3) and that is perpendicular to the line represented by 3x-2y

motikmotik

Answer:

3y + 2x = 5

Step-by-step explanation:

3x-2y = -2

2y = 3x + 2

y = (3/2)x + 1

Slope is 3/2

Slope of the Perpendicular line is -2/3

y = (-2/3)x + c

x = -2 , y = 3

3 = (-2/3)(-2) + c

3 = 4/3 + c

c = 3 - 4/3 = 5/3

y = (-2/3)x + 5/3

3y = -2x + 5

3y + 2x = 5

5 0

3 years ago

1. The number of rabbits on an island is increasing exponentially.

Zina [86]

Answer:

<em>There are approximately 114 rabbits in the year 10</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

$P=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We are given two measurements of the population of rabbits on an island.

In year 1, there are 50 rabbits. This is the point (1,50)

In year 5, there are 72 rabbits. This is the point (5,72)

Substituting in the general model, we have:

$50=P_o(1+r)^1$

$50=P_o(1+r)\qquad\qquad[1]$

$72=P_o(1+r)^5\qquad\qquad[2]$

Dividing [2] by [1]:

$\displaystyle \frac{72}{50}=(1+r)^{5-1}=(1+r)^{4}$

Solving for r:

$\displaystyle r=\sqrt[4]{\frac{72}{50}}-1$

Calculating:

r=0.095445

From [1], solve for Po:

$\displaystyle P_o=\frac{72}{(1+r)^5}$

$\displaystyle P_o=\frac{72}{(1.095445)^5}$

$P_o=45.64355$

The model can be written now as:

$P=45.64355(1.095445)^t$

In year t=10, the population of rabbits is:

$P=45.64355(1.095445)^{10}$

P = 113.6

$P\approx 114$

There are approximately 114 rabbits in the year 10

5 0

3 years ago

ExtremeBDS [4]

Answer:

C) Area of Triangle is 102 Square Units

3 0

3 years ago

Triangles QVS and RTS are similar. Find side VS.

tekilochka [14]

In order to solve the equation, set up a proportion. Use the similar sides together!

1. 16/8 = x/20.... Similar sides are in one ratio and they equal another ratio...."x" represents the side of VS

2.Solve for "x" by cross multiplying: 8x = 320

3. Divide by 8 to find "x": x = 40

Side VS equals 40. Hope this helped :)

7 0

3 years ago

A number increased by 7, then multiplied by 5 brainly

Studentka2010 [4]

The answer would be (n+7)5

hope this helps

4 0

4 years ago