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
sertanlavr [38]
3 years ago
11

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

Mathematics
1 answer:
zloy xaker [14]3 years ago
7 0

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

You might be interested in
What is the approximate area of a sector of a circle with a radius of 8 cm, and a minor arc of 70 degrees?
oee [108]

Answer:

39.0953=39cm2

Step-by-step explanation:

Minor arc =70

Angle of arc=70

Then this sector =70/360=7/36 of the circle

Then area = 7/36x3.14x8x8=39cm2 approximatly

5 0
3 years ago
Pls I need help this
Citrus2011 [14]

Answer:

the third side is 4.

Step-by-step explanation:

Using  Pythagorean theorem of a^2 + b^2 = c^2 for right triangles, substitute

the numbers to show (\sqrt{65})^{2} + b^{2} = 9^{2} and solve for b. The square root and square cancel each other out, so you get 65 + b^{2} = 81.

Subtract 65 from both sides to get b^{2} = 16.

Then take the square root of both sides to get b = \sqrt{16} which equals 4.

6 0
3 years ago
Help me<br><br><br><br> If x=1/2 and y=2/3 , find the value of xy+ (x+ y)
Dima020 [189]

Answer:

3/2

Step-by-step explanation:

7 0
2 years ago
An IQ test is designed so that the mean is 100 and the standard deviation is 1414 for the population of normal adults. Find the
Amanda [17]

Answer:

37

Step-by-step explanation:

The first thing is to calculate critical z factor

the alpha and the critical z score for a confidence level of 90% is calculated as follows:

two sided alpha = (100% - 90%) / 200 = 0.05

critical z factor for two sided alpha of .05 is calculated as follows:

critical z factor = z factor for (1 - .05) = z factor for (.95) which through the attached graph becomes:

critical z factor = 2.58

Now we have the following formula:

ME = z * (sd / sqrt (N) ^ (1/2))

where ME is the margin of error and is equal to 6, sd is the standard deviation which is 14 and the value of z is 2.58

N the sample size and we want to know it, replacing:

6 = 2.58 * (14 / (N) ^ (1/2))

solving for N we have:

N = (2.58 * 14/6) ^ 2

N = 36.24

Which means that the sample size was 37.

5 0
3 years ago
What is 931 divided by 6
agasfer [191]
932 divided by 6 is 155.166666667

7 0
3 years ago
Other questions:
  • 32x - 12.8 simplify plz
    11·2 answers
  • What is 3/4 divided by 5/6
    11·2 answers
  • A plant is already 47 centimeters tall, and it will grow one centimeter every month.
    9·1 answer
  • Describe how to use a tens fact to find the difference for 15-8.
    6·1 answer
  • What factors do 28 and 44 have in common?
    15·1 answer
  • I don't know how to solve these two types of questions:<br> (x+y)(x-y)=20<br> and (z+z)(z+z)=63
    8·1 answer
  • Two numbers in a ratio 5:4 . Their sun is 720.find the bigger number.show your reasoning
    11·1 answer
  • Clara is growing her hair out and wants it to be no longer than 15 cm but more than 11 cm. Her hair is 7 cm right now and grows
    12·1 answer
  • Write the ratio. For every two frogs are 2 turtles
    11·1 answer
  • If a cube with the length of the side of 4 cm is cut into smaller cubes with the length of the side of 1 cm, then what is the pe
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!