Mathematics, 21.09.2019 03:30 oof1231

Jane, andre, and maria pick apples. andre picks three times as many pounds maria. jane picks two times pounds as andre. the total weight of apples is 840 pounds. how many pounds of apples does andre pick?

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Answer from: jfefeferf

Andre picks 252 pounds of apples.

Further explanation:

Jane, Andre and Maria pick apples such that the apples picked by Jane are denoted by J, the apples picked by Andre are denoted by A and the apples picked by Maria are denoted by M.

The total weight of apples is 840 pounds.

Therefore, this can be written as,

${\text{J + A + M}} = 840$ ...... $(1)\\$

Andre picks three times as many pounds Maria then . ${\text{A=3M}}$ .

Jane picks two times pounds as Andre then . J = 2A .

Substitute 3M for A in the equation J = 2A to obtain relation between J and M as,

$\begin{aligned}{\text{J}}&={\text{2A}}\\&= {\text{2}}\cdot{\text{3M}}\\&={\text{6M}}\end{aligned}$

Now, substitute 3M for A and 6M for J in equation (1) then we get,

$\begin{aligned} {\text{6M + 3M + M} &= 840}\\{\text{10M}& = 840}\\{\text{M}& = 84}\\\end {aligned}$

Therefore, Maria picks 84 pounds of apples.

Substitute the obtained value of as 84 in equation J = 2A as,

$\begin{gathered}{\text{J}}={\text{6}}\cdot {\text{84}}\\={\text{504}}\\\end{gathered}$

Therefore, Jane picks 504 pounds of apples.

Substitute the obtained value of as 84 in equation J = 6M as,

$\begin{gathered}{\text{A}}={\text{3}}\cdot {\text{84}}\\={\text{252}}\\\end{gathered}$

Therefore, Andre picks 252 pounds of apples.

Thus, the total quantity that Andre picks is $\boxed{{252}\text{ } \text{pounds}}$ .

Learn more:

1. Learn more about the equation of the circle

2. Learn more about the center and radius of circle equation

3. Learn more about general form of the equation of the circle

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Linear equations

Keywords: Linear equations, function, sets, real numbers, ordinates, abscissa, interval, open interval, closed intervals, semi-closed intervals, semi-open intervals, graph.

Answer from: Quest

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

(x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81

Answer from: Quest

It means if x is -1 what is y then . check -1 on x axis and then check the value of y when x is -1

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Jane, andre, and maria pick apples. andre picks three times as many pounds maria. jane picks two tim...