Which value of y makes the equation 16−y=11 true?

A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.

Black_prince [1.1K]

Answer:

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

or

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

Step-by-step explanation:

<u><em>The correct question is </em></u>

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 more pounds of plant food does the landscaper need?

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

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

4 0

2 years ago

An 80% confidence interval is found to be (0.52, 0.58) what is the sample proportion?

Mazyrski [523]

Answer: 55

Step-by-step explanation:

ape

3 0

3 years ago

Use completing the square to solve the equation x2 - 10x = -8.

Alenkasestr [34]

A. X^2-10x. =-8
To complete the square you get half of -10 and then square that number half of -10 is -5 and -5 times -5 equals positive 25 that would you add to each side

x^2-10x+25=-8+25
17

6 0

3 years ago

Read 2 more answers

A cantaloupe weights 56 ounces there are 16 ounces in a pound how many pounds does the cantaloupe weight

Semenov [28]

It would be 3.5 as you start with 56 then take away 16 =40 then another witch is 24 the another 16 Is 8 so you have taken e16 away so far that's 3 pound and because you can take a full 16 off that makes it a half so final awnser is 3.5 56-16=40-16=24-16=8=3 pounds and a half hope I have helped you in any way

5 0

3 years ago

Read 2 more answers

You throw a softball into the air with an initial upward velocity of 38 ft/s and an initial height of 5 feet. Use the vertical m

ddd [48]

I’m so sorry I need points but I’m gonna manifest that someone smarter will see this and answer

7 0

2 years ago