This means we increase the x value by 1.

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many mor

kow [346]

Answer:

$\frac{19}{12}\ pounds$

or

$1\frac{7}{12}\ pounds$

Step-by-step explanation:

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

so

The linear equation that represent this problem is

$x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}$

Convert mixed number to an improper fractions

$1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}$

$3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}$

Substitute in the expression above

$x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}$

solve for x

Multiply by (4*6) both sides to remove the fractions

$24x+30+16=84$

Combine like terms left side

$24x+46=84$

subtract 46 both sides

$24x=84-46$

$24x=38$

Divide by 24 both sides

$x=\frac{38}{24}\ pounds$

simplify

$x=\frac{19}{12}\ pounds$

Convert to mixed number

$\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds$

3 0

3 years ago

Can somebody please help m eits 9th grade math im so confused !

prisoha [69]

Answer:

Option 3: (5, 1)

Step-by-step explanation:

There are several ways of solving for systems of linear equations, either through graphing, substitution, or elimination.

The graphing method is the easiest, as you only need to plot points on the graph using the y-intercepts and the slopes.

I will be demonstrating the <u>graphing method</u>.

Given the systems of linear equations:

Equation 1: y = x - 4

where the <u>slope</u>, <em>m</em> = 1, and <u>y-intercept </u>(0, -4).

Equation2: y = -x + 6

where the <u>slope</u>, <em>m </em>= -1, and <u>y-intercept</u> (0, 6).

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b).

<h3>Graphing Instructions:</h3>

For Equation 1, plot the y-intercept, (0, -4) on the graph. Then use the <u>slope</u>, m = 1 (rise 1 unit, run 1 unit) to plot other points on the graph. Repeat this process until you have enough points to connect a line with.

Repeat these same procedures for graphing Equation 2, start by plotting its y-intercept at (0, 6), and its slope, m = -1 (down 1 unit, run 1 unit).

<h3>Solution: </h3>

The intersection of both lines occurs at point, (5, 1), which is solution to the given systems of linear equations. Therefore, the correct answer is the third option, (5, 1).

Attached is the screenshot of the graphed systems of linear equations, where it shows the point of intersection at (5, 1).

5 0

3 years ago

The price of a gallon of unleaded gas has dropped to $2.83 today. Yesterday's price was$2.89 . Find the percentage decrease. Rou

alexandr1967 [171]

Decrease = initial price - final price

% decrease = [ (initial price - final price) / initial price ] *100

% decrease =[ (2.89 - 2.83) / 2.89] * 100 = 2.08, which can be rounded to 2.1

Answer: 2.1 %

5 0

3 years ago

Read 2 more answers

The Jets play 16 football games this season. So far they have 3 wins and 4 losses. If they can win all the rest, how many wins a

brilliants [131]

Answer:

12 wins and 4 losses

Step-by-step explanation:

3 wins and 4 losses means they have played so far 7 games.

They play a total of 16 games in a season.

16 - 7 = 9

They still have to play 9 more games.