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MaRussiya [10]
1 year ago
5

In mr. wilson's geometry class, 12 of the students received a's and 20 received b's. in his statistics class, 11 of the students

got a's and 15 got b's. in which class did mr. wilson's students earn a higher ratio of a's to b's? a. statistics b. neither, the ratios are equivalent c. geometry d. not enough information
Mathematics
1 answer:
Ainat [17]1 year ago
7 0

In (A) statistics class Wilson's students earn a higher ratio of a's to b's.

<h3>What are ratios?</h3>
  • A ratio in mathematics describes how many times one number contains another.
  • For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six.
  • Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.

To find the higher ratio:

Given -

  • Geometry class = a:b = 12:20 = 3:5
  • Statistics class = a:b = 11:15

As we can observe that 3:5 < 11:15.

Therefore, in (A) statistics class Wilson's students earn a higher ratio of a's to b's.

Know more about ratios here:

brainly.com/question/2328454

#SPJ4

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Inequation 1: 

\frac{2}{3}x-3 \geq y

to plot the pairs (x, y) for which the inequation holds, draw the line y=\frac{2}{3}x-3

then pick a point in either side of the line. If that point is a solution of the inequation, than color that region of the line, if that point is not a solution, then color the other part of the line.

we do the same for the second inequation. Then the solution, is the region of the x-y axes colored in both cases.

inequation 2: 

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y\ \textless \ - \frac{2}{3} x+ 4&#10;


draw the lines 

i)  y=\frac{2}{3}x-3          use points (0, -3),  (3, -1)

ii)y=- \frac{2}{3} x+ 4       use points ( 0, 4),   (3, 2)


let's use the point P(3, 3) to see what region of the lines need to be coloured:

\frac{2}{3}x-3 \geq y  ; 
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2-3 \geq 3, not true so we color the region not containing this point


y+ \frac{2}{3}x\ \textless \ 4
(3)+ \frac{2}{3}(3)\ \textless \ 4
3+ 5\ \textless \ 4 not true, so we color the region not containing the point (3, 3)

The graph representing the system of inequalities is the region colored both red and blue, with the blue line not dashed, and the red line dashed.



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<h3>Answer:  True</h3>

Explanation:

Technically you could isolate any variable you wanted, from either equation. However, convention is to pick the variable in which isolating it is easiest, and most efficient.

The key thing to look for is if there's a coefficient of 1. This is found in the second equation for the y term. Think of -4x+y = -13 as -4x+1y = -13. Due to the coefficient of 1, when solving for y we won't involve messy fractions.

If you were to solve for y, then you'd get y = 4x-13, which is then plugged in (aka substituted) into the first equation. That allows you to solve for x. Once you know x, you can determine y.

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