Mathematics, 26.03.2021 06:50 maliyahsanmiguel

If 2/9 of the students in a school are in 6th grade, then how many students are there in the school if there are 42 6th
graders?

Answers: 3

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Answers

Answer from: shonherron

231

Step-by-step explanation:

$\frac{2}{9}$ = $\frac{42}{x}$

42÷2= 21

9×21= 189

189 students total

42 6th graders

Answer from: nails4life324

189 students

Step-by-step explanation:

2/9 = 6th grade2/9 = 42 studentsSo therefore, 2/9 = 42/xLet's break down the equation above. The original fraction is 2/9. The numerator represents the 6th grade students, and the denominator represents the total number of students in the school. So, if we expand that to actual numbers in the school, it would be 42 over the total number of students in the school (represented by x).Let's solve it now in the steps belowWrite out the equation: $\frac{2}{9} = \frac{42}{x}$ Cross multiply, then divide: 9 × 42 = 378, 378 ÷ 2 = 189So, the total students in the school are 189 students.

I hope this helps!

Answer from: Quest

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.

Answer from: Quest

Answer

1 number

explanation

if we use a graphing calculator, there is only one such number $c\in[0.5,0.75]$ that satisfies the conclusion of the mean value theorem, that is, a number $c\in[0.5,0.75]$ such that

$f'(c) = \dfrac{f(0.75) - f(0.5)}{0.75-0.5},$

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.