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3 years ago

Which diagram shows the percent equivalent to 3/5

Mathematics

2 answers:

KengaRu [80]3 years ago

8 0

Answer:

Step-by-step explanation:

The given ratio is

$\frac{3}{5}$

One way to find the original ratio in terms of percetange, we can multiply a factor so that the denominator reach 100. So, let's multiply this fraction by 20, each part of it

$\frac{2 \times 20}{5 \times 20}=\frac{40}{100}$

This means that the original percentage is $40 \%$ .

Now, we have to chose the grid that has 40 squares painted. None of the grids given in the image represents 40%.

You just need to count, the grid that has 40 squares painted, that's your answer.

Minchanka [31]3 years ago

7 0

Answer:

the last one

Step-by-step explanation:

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50 points! I understand A. and B. but I would really appreciate help with C.

FromTheMoon [43]

Answer:

$51.72\text{ cells per hour}$

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

So, we are given that the quadratic curve of the trend is the function:

$P(t)=6.10t^2-9.28t+16.43$

To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

$\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]$

Expand:

$P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]$

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

$P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]$

Differentiate. Use the power rule:

$P'(t)=6.10(2t)-9.28(1)$

Simplify:

$P'(t)=12.20t-9.28$

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

$P'(5)=12.20(5)-9.28$

Multiply:

$P'(5)=61-9.28$

Subtract:

$P'(5)=51.72$

This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.

And we're done!

7 0

2 years ago

Jaclyn is selling cookies for her club. She sells 2 boxes for $5. What unit rate expresses the cost per box?

Amiraneli [1.4K]

Divide 5 by 2 representing each box by the price. Which equals to $2.50 each box.

8 0

3 years ago

What is the equation of the line that passes through the points (-4,1) and (4-1)

Nitella [24]

Answer:

y=-1/4x

Step-by-step explanation:

METHOD 1: The basic slope-intercept equation is <em>y=ax+b</em>. To achieve the slope with two points, this is the equation:

$m = \frac{y2-y1}{x2-x1}$

All you have to do is insert points (-4, 1) and (4, -1) into their corresponding locations.

$m = \frac{(-1)-1}{4-(-4)}$

With this equation, you will be able to find the slope. Then you can simply graph it to connect the two dots.

METHOD 2: Simply connect the two dots with a straight line (use a ruler or something with a straight edge.) Then count how many spaces up/down and left/right. If the line goes from top to bottom from left to right, it is a negative slope (hence, the -1/4.)

7 0

3 years ago

Which number(s) below belong to the solution set of the inequality? Check all

pickupchik [31]

Answer:

C) 1

F) 29

Step-by-step explanation:

all numbers less than 30 are solutions

3 0

2 years ago

Read 2 more answers

You gave your little sister a good push on a swing and it made an arc of 12 ft. On the third swing it made an arc of 8.67 ft. Ho

jonny [76]

10.2 ft Ans.

We solve this using geometric series.

A1 = 12 ft
A2 = ?
A3 = 8.67ft
Now, for geomteric progression,

$\frac{A1}{A2} = \frac{A2}{A3} 

$

$\frac{12}{A2} = \frac{A2}{8.67}$

$A2 * A2 = (A2)^{2} = \sqrt{12 * 8.67 }$

A2 = 10.2 ft

6 0

3 years ago