<span>"Simplifying 0.2y = 0.5x + 0.1
Reorder the terms: 0.2y = 0.1 + 0.5x Solving 0.2y = 0.1 + 0.5x Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Divide each side by '0.2'. y = 0.5 + 2.5x Simplifying y = 0.5 + 2.5x"</span>

7 0

3 years ago

deenas water bottle can hold a total of 2/5 liter of water. johns water bottle can hold a total of 5/2 liter of water whose wate

Alexandra [31]

John's. Find the first common multiple of both denominators, in this case it's going to be ten, then the number you had to multiply to change these numbers to the common multiply you do to the numerators. so it works out like so:

Deena has a bottle of 4/10
John has a bottle of 25/10 or 2 1/2 (simplified)

8 0

3 years ago

Read 2 more answers

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Josiah has punch c

love history [14]

Let x be the number of weeks; therefore, the two linear equations are

$\begin{gathered} T=2+7x \\ \text{and} \\ C=11+4x \end{gathered}$

Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.

Solving by substitution. Set T=C, then

$\begin{gathered} T=C \\ \Rightarrow2+7x=11+4x \\ \Rightarrow3x=9 \\ \Rightarrow x=\frac{9}{3}=3 \\ \Rightarrow x=3 \end{gathered}$

Thus, substitute the value of x=3 into the first equation,

$\begin{gathered} x=3 \\ \Rightarrow T=2+7\cdot3=23 \\ \Rightarrow T=23 \end{gathered}$

Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.

6 0

1 year ago