1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
blagie [28]
3 years ago
15

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

e pounds of plant food does the landscaper need? Enter your answer as a mixed number in simplest form as a fracren plz help
Mathematics
1 answer:
kow [346]3 years ago
3 0

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

You might be interested in
In the chemistry lab an experiment requires 599 mL of one ingredient to be mixed with 1000 mL of another. How many ounces is the
raketka [301]

Answer:

50.7202

Step-by-step explanation:

(500ml+1000ml) / (29.574 ml per ounce) = 50.72 US Fluid Ounces

3 0
2 years ago
it snowed 1/4 inch every hour for 4 hours then it's no 1/2 inch every hour for 6 hours what was the total snowfall that was meas
ioda

Answer:

Step-by-step explanation:

4 hours × (¼ in)/hour = 1 in

6 hours × (½ in)/hour = 3 in

Total snowfall over ten hours = 1 + 3 = 4 in

8 0
3 years ago
If Dylan buys a book that is 25% off, what percent of the original price does Dylan pay?​
Schach [20]
Dylan will pay 75% of the original price.
5 0
2 years ago
Read 2 more answers
Anya is watching a football game on TV. She
madreJ [45]

Answer: 24 commercials

Step-by-step explanation: An hour is 60 minutes. She'll watch 120 minutes of the game. 120 divided by 5 is 24. Good luck! :D

7 0
3 years ago
Which equation represents the graph below?<br><br> A. y=3x-2<br> B.y=-2x+3<br> C.y=3x-2<br> D.2x+3
KatRina [158]

Answer:

d

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What is the determinant of the coefficient matrix of the system 0x+0y-0z=3 0x+0y+0z=-1 0x+0y+0z=18
    5·1 answer
  • Need help with geometry.
    15·1 answer
  • You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. find the probability that t
    15·1 answer
  • Help please! Math 1: Please explain it LOTS OF POINTS!!!
    6·2 answers
  • The following are the ages (years) of 5 people in a room: 23, 13, 17, 12, 15 A person enters the room. The mean age of the 6 peo
    10·1 answer
  • * PLEASE HELP WILL GIVE BRAINIEST* Your portfolio must include a minimum of the following five types of equations and solutions:
    10·1 answer
  • What is 1000x - 1x?<br><br> A) 101x<br> B) 1001x<br> C) 99x<br> D) 999x
    9·2 answers
  • The dean of the School of Fine Arts is trying to decide whether to purchase a copy machine to place in the lobby of the building
    15·1 answer
  • How old is your mom because i don’t know now old your mom is so how old is she ?
    6·2 answers
  • A spinner is divided into 15 identical sectors and labeled 1 through 15.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!