<h3>Answer: 800</h3>
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How I got that answer:
Create a two-way table showing the breakdown of students who like or dislike either vegetable. This is shown in the attached image below. Anywhere there is a letter indicates we aren't able to determine that value. Luckily we dont need to know those values to answer the question.
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Let's say we had 3000 students. I picked some large number that is a multiple of 3. That way when we multiply by 2/3, we get a whole number.
Take 2/3 of 3000 and you should get 2000. So there are 2000 students who dislike lima beans. Write "2000" at the end of the "dislike lima beans" row which is where the total is. Above that we'll have 1000 people who like lima beans, but we dont need to use this value.
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Of those 2000 students, 3/5 of them also dont like sprouts either. So (3/5)*2000 = 0.6*2000 = 1200 students do not like both veggies. Furthermore, 2000 - 1200 = 800 like sprouts but dont like lima beans.
Alternatively, 2/5 of the 2000 students like sprouts but dont like lima beans, so (2/5)*2000 = 0.4*2000 = 800.
2x+18=30
-18. -18
2x = 12/2
x=6
True... both 3 and 4 are factors of 12 so it can be used as a common denominator.
1/3 × 4/4 = 4/12
1/4 × 3/3 = 3/12
Answer:
9/5 < m < 9/4
Step-by-step explanation:
The conditions are:
- The line passes through (9,4)
- The slope (m) is greater than its y-intercept
If we take a point like (-1,0)
Slope (m) = change in y ÷ change in x =
= 9/5
This point satisfies the conditions above since;
- The line passes through points (9,0) and (-1,0)
- The x-intercept is negative i.e -1
- The y-intercept is 0 and the slope which equals 9/5 is greater than 0
From the choices given;
we can say that:
m > 9/5 and m < 9/4
And can be expressed as;
9/5 < m < 9/4