The table shows the number of Salvador has read. Find the ratio of mystery books to the total. Explain it's meaning.(look at the picture of the table)

Answers

Answer 1

Answer: $Total:\n\n10+7+5+2=24\n\nRatio:\n\n10:24\ ->5:12\n\nThe\ ratio\ is\ 5:12$

Answer 2

Answer:

Final answer:

To find the ratio of mystery books to the total, divide the number of mystery books by the total number of books and simplify the ratio if possible.

Explanation:

To find the ratio of mystery books to the total, we need to divide the number of mystery books by the total number of books and simplify the ratio if possible.

In this case, the number of mystery books is 12 and the total number of books is 48. So, the ratio of mystery books to the total is 12:48.

We can simplify this ratio by dividing both the numerator and denominator by 12. This gives us a simplified ratio of 1:4.

Learn more about ratio here:

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PLEASE HELP ASAP Describe, in great detail, how you would graph a line that is in slope-intercept form.

Use y=-3x+ 5 as your example.

Answers

Hi there!

»»————-　★　————-««

Please see the explanation below.

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Explanation:

Recall the meanings of the variables in the slope-intercept equation.

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$\boxed{\text{\underline{Slope Intercept Form:}}}\n\ny=mx+b\n---------------\n\boxed{\text{Key:}}\n\n\rightarrow \text{m - slope}\n\rightarrow \text{b - y - intercept}$

⸻⸻⸻⸻

We already have one point given, the y-intercept. The y-intercept of a line when given a slope intercept form equation is: $(0, b)$

Using the example, we would graph the point (0,5) as our first point.

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To graph the second point, we need to understand the meaning of slope. The slope of a line can be remembered as 'rise over run'.
The slope for the given equation is -3.
This means we would have to go three units down and then one unit right from the y-intercept. Our new point would be (1,2).

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The result should be the graph attached.

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

Thanks it’s really helpful

Calculate the area of the following figure correct to 2 decimal places if can show or explain work

Answers

The way we approach a question like this, is by looking at what portion of the circle we actually have to calculate the area of. We know that a circle is a shape that goes 360 degrees around a point. Therefore we know that, for example, a semicircle, or half a circle, would cover half the amount of degrees. This is important, because as well as covering half the number of degrees, it also covers half the area. For the figure in your picture, we are told that the portion missing from the circle is 90 degrees (shown by the right angle symbol in the center).
this means that 90 degrees worth of the circle is missing, so if we do 360÷90, we find that the answer equals $(3)/(4)$ . This means that we are dealing with $(3)/(4)$ of a circle. So, we simply find the area of the circle normally, and then multiply by $(3)/(4)$ :
The formula for area of a circle is $\pi r^(2)$ , so in this case, it can be said to be $\pi (10^(2) )$ , which is equal to 314.15
Now we simply take that area and multiply it by the fraction we established earlier:
314.15 x $(3)/(4)$ = 235.61
Therefore the area of the figure is 235.61 $cm^(2)$
I hope this helped and please remember to try and not only understand the answer, but the maths that worked it out too :))

What is the slope of the line on the graph below?On a coordinate plane, a line goes through points (0, negative 5), (3, negative 4), and (6, negative 3).

Answers

The slope of a linear line which is passing through the lines (0,-5), (3, -4) , (6,3) is 1/3. The slope of a straight line is the ratio of y values of two points to the difference in x values of the two points.

What is slope ?

In mathematics, slope of a line describes the steepness or inclination and the direction of the line. Slope of a line is calculated based on the characteristic of the line.

For straight line passing through some points, the x and y coordinates are related by the following expression:

y = mx +c

Where c is the intercept m be the slope.

For a line passing through two points, the slope m is :

m = y2 - y1 / (x2- x1)

Consider the line passing through the points (0, -5) and (3, -4). The slope m = -4 - (-5) / (3 - 0) = 1/3

Similarly if we consider the points (3, -4) and (6, -3) we get the same slope 1/3.

Find more on slope:

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Answer:

i think the answer is 1/3 but i'm not positive

Step-by-step explanation:

Brand W: 500 napkins for $2.87Brand X: 200 napkins for $1.27
Brand Y: 100 napkins for $0.62
Brand Z: 250 napkins for $1.37

Which brand is the cheapest? What is the cost of one napkin of this brand?

Which brand is the most expensive? What is the cost of one napkin of this brand?

Answers

The best way, in my opinion, to do this, is to find the unit rate of each napkin brand, or the cost per napkin. To do this, divide the money amount by the amount of napkin they give you.

/Brand W:2.87/500=.00574 \
\Brand X: 1.27/200=.00635   \ These are the
/Brand Y: .62/100 =.0062   / cost per napkin.
  \Brand Z: 1.37/250=.00548 /

Which one out of these 4 values is the lowest value? Obviously the two with the 6 in the thousandths place are more expensive than the ones with the 5s in the thousandths place, so that already eliminates Brand Z and Brand W.

What do we have left?

Brand X: 1.27/200=.00635
Brand Y: .62/100 =.0062
Cool. Which of these is a smaller number? Tip: If the first number besides 0 is the same, check the next one! You should get that Brand Y is the cheapest! :) Hoped this helped!

What are the solutions to x3=5−5i in polar forma. 52‾√3cis(23π12)

b. 52‾√3cis(5π4)

c. 50‾‾‾√6cis(23π12)

d. 50‾‾‾√6cis(7π12)

e. 50‾‾‾√6cis(4π3)

f. 50‾‾‾√6cis(5π12)

g. 50‾‾‾√6cis(5π4)

h. 52‾√3cis(7π12)

i. 52‾√3cis(5π12)

Answers

Answer:

$z_1=(5√(2))^(1/3)cis((7\pi)/(12))$

Step-by-step explanation:

To find the roots of the complex number you use the following formula:

$z=re^(i\theta)\n\nz_k= (r)^(1/n)[cos((\theta+2\pi k)/(n))+sin((\theta+2\pi k)/(n))];\ \ k=0,1,2..n-1$ (1)

in this case the polar number in polar form is:

$r=√(5^2+5^2)=5√(2)\n\n\theta=tan^(-1)((-5)/(5))=-45\°$

By replacing in (1) you obtain:

$z_0=(5√(2))^(1/3)cis((-\pi/4+0)/(3))\n\nz_1=(5√(2))^(1/3)cis((-\pi/4+2\pi)/(3))=(5√(2))^(1/3)cis((7\pi)/(12))\n\nz_2=(5√(2))^(1/3)cis((-\pi/4+4\pi)/(3))=(5√(2))^(1/3)cis((15\pi)/(12))$

hence, you have:

h. 52‾√3cis(7π12)

Elaine bought a total of 15 shirts and pairs of pants. She bought 7 more shirts than pants. How many of each did she buy?

Answers

she bought a total of four pants and eleven shirts
4+11=15, the difference between 4 and 11 is 7

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