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A farmer placed an order for 11 tons of fertilizer. He calculates that the corn fields will require 6 5/8 tons of it. How much fertilizer will the farmer have left for his other crops?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer 1

Answer:

4.375

Step-by-step explanation:

11 tons

He needs 6 5/8

Convert 11 tons to a fraction with the same denominator:

[tex]\frac{11}{1} *\frac{8}{8} =\frac{88}{8}[/tex]

Now calculate 6 5/8:

[tex]\frac{6}{1} *\frac{8}{8} =\frac{48}{8}[/tex]  and add  [tex]\frac{5}{8}[/tex]

[tex]\frac{48}{8} +\frac{5}{8} =\frac{53}{8}[/tex]

Now subtract

[tex]\frac{88}{8} -\frac{53}{8} =\frac{35}{8}[/tex]

As a mixed number:

[tex]\frac{35}{8} = 4 \frac{3}{8}[/tex]

As a fraction:

4.375 is how much he has left for his other crops.


Related Questions

Jared bought a cell phone for $42, Juanita spent 1 1/2 times as much how much did she spend

Answers

answer:

Juanita spent 1 1/2 times as much as Jared, how much did she spend?

$63

explanation:

one and a half of 42 is: 63

so,

the answer is Juanita spent $63!

Juanita paid $63 for the phone, which is equal to 3/2 of what Jared paid while buying the phone.

What is the definition of a mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

How are mixed fractions written?

Follow these procedures to convert an incorrect fraction to a mixed number:

Subtract the denominator from the numerator. The quotient's whole number component should be written down. Write the leftover amount on top of the original denominator.

Given: Jared spent $42 on a cell phone.

We need to determine 1 and 1/2 which is 3/2 of total amount spent by Juanita.

So,

42(3/2) = $63

Therefore, Juanita spent $63 which is  3/2 amount spent by Jared in buying the cell phone.

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Which of the following in NOT an equation of a line parallel to the line with equation y=1/2x-6 *

y = 2/4x + 6
y = 0.5x - 3
y = 1/2x + 1
y = 2x - 4

Answers

Answer:

y=2x-4

Step-by-step explanation:

Parallel lines have the same gradient.

The gradient of this line is 1/2.

All the equation the have a gradient of 1/2 accept for the last one.

It is very important that you
and avoid errors to happen.
Review
Instruction:
Factor each of the following quadratic expression.
1. x² + x
2. 5x2 - 25x
3. x2 - 16
4. x² + 4x + 4
5. x2 - 5x + 6

Answers

Step-by-step explanation:

Given expressions:

1. x² + x

2. 5x² - 25x

3. x² - 16

4. x² + 4x + 4

5. x² - 5x + 6

   Problem: Factor each of the quadratic expression

Solution:

A quadratic expression is an expression whose highest power is two.

1. x² + x

     For this expression:

       x² + x

    Factorizing x since  it is a common term;

       x(x + 1)          

   

2. 5x² - 25x

    For this expression;

   Factorize 5x since it common to both of them;

      5x(x - 5)

3. x² - 16

    For this expression;

  Apply the differences of two squares;

     x² - 16

     x² - 4²;

    Note;  x² - y²  = (x-y)(x+y)

So, x² - 4² = (x-4)(x + 4)

4. x² + 4x + 4

   To solve this,

     Find two numbers whose product will be 4 and sum also 4;

  x² + 4x + 4 = x² + 2x + 2x + 4

                    = x(x + 2) + 2(x + 2)

                     = (x + 2)(x + 2)

5. x² - 5x + 6

    To factorize this expression, simply find two numbers whose sum is -5 and product is 6;

            x² - 5x + 6 = x² - 3x - 2x + 6

                              = x (x - 3) -2(x - 3)  

                              = (x -2)(x-3)

10. Which of the following does not represent an
arithmetic sequence?
A. -7, -3, 1, 5, 9...
B. -64, -16, -4, -1...
C. 0, 2, 4, 6...
D. 3,-2, -7, -12...

Answers

Answer:B

Step-by-step explanation:because an arithmetic sequence would be either adding or subtracting and B is dividing or if it’s easier from right to left it’s multiplying

Answer
B
Explanation

can you guys help me??

Answers

Answer:

37 used beeds

Step-by-step explanation:

May i get brainiest

3x-(-54x)=45= whats the sum

Answers

Answer:

x= 15/19 = 0.789

Step-by-step explanation:

Answer: 0.789 is the correct answer plz brainliest big brother

Unscramble the themed packs below. Which one is fake?

Answers

- Fishing Uno
- Power Grab Uno
- Disney Princess Uno
- ??
- University of Florida Uno
- Over the hedge Uno
- Betty boop Uno
- Lobster Uno

Which of the following options best describes a line graph?

a) graph comparing quantities represented by bars

b) graph showing trends in categorical data

c) graph that displays the rate of change of two variables

d) graph comparing the rate of change of two or more quantities

Answers

Answer:

i hope im not to late but i think its c

A line chart is a graph that shows the rate at which two variables evolve.

Option c) is correct.

Define Graph.

A graph is a representation of the relationship among different sets of numbers or measures.

A graph is just a data structure made up of a finite number of nodes (or vertices) and the edges that link them.

A line chart is a graph that shows the rate at which two variables evolve.

So, option c) is correct.

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I need 9 and 10 plzzzz

Find the value of the variable(s) in each figure. Explain your reasoning.
9.
10.

x - 10)
(2x - 15)
1042
(x + 55)

Answers

Answer:

9.

x-10 = 104

x = 104 + 10 = 114

10.

2x-15 = x + 55

2x - x = 55 +15

x = 70

The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples as a bushel of large apples, how many small apples are in 1 lb of apples?

Answers

Answer:

There are 4 small apples in 1 lb of apples.

Step-by-step explanation:

From the information given, you know that a bushel of small apples contains twice as many apples as a bushel of large apples. So, in order to know the amount of apples in a bushel of small apples you have to multiply the number of apples in a bushel of large apples by two:

84*2=168

Now, you can use a rule of three to find the number of small apples in 1 lb of apples given that you know that each bushel of apples that has 168 small apples weighs 42 lbs:

168 apples → 42 lbs

       x         ←    1 lb

x=(168*1)/42= 4

According to this, the answer is that there are 4 small apples in 1 lb of apples.

Answer:

4 small apples in 1lb of apples I think

Step-by-step explanation:

Ms. Watts is a famous motivational speaker. She travels across the country by jet and gives an average of ten presentations a week

She gives her speeches in auditoriums that are always full and hold an average of 1000 people each. She charges $40 per person

at each of these speeches. Her average expenses for each presentation, including renting the auditorium, are about $15,000. The

cost of meals, motels, jet travel, and support personnel total $75,000 per week. How many weeks will Ms Watts need to travel if she

wants to earn $1,400,000 per year?

Answers

Answer:

5 weeks

Step-by-step explanation:

We are told that the auditorium holds an average of 1000 people each.

And that she charges $40 each.

Thus;

Total income for each speech is;

1000 × 40 = $40000

Since she gives an average of 10 presentations each week.

Total income per week = 10 × 40000 = $400,000

Now,the expenses she makes for each speech weekly is;

Renting auditorium = $15000

Motel, jet expenses, support personnel = $75000

Thus,

Total expenses per week = 15000 + 75000 = $90000

Now, total profit per week is;

P_weekly = Total income per week - Total expenses per week

P_weekly = $400000 - $90000

P_weekly = $310000

There are 52 weeks in a year, thus, profit in a year is;

P_yearly = 52 × 310000 = $16120000

Now, we want to find out how long it took her to make $1,400,000 a year.

We know that;

$16120000 was achieved in 52 weeks

Thus;$1,400,000 will be achieved in;

(1400000 × 52)/16120000 = 4.52 weeks approximately 5 weeks.

A criminologist developed a test to measure recidivism, where low scores indicated a lower probability of repeating the undesirable behavior. The test is normed so that it has a mean of 140 and a standard deviation of 40. Suppose an individual is in the 67th percentile in this exam.What is his or her corresponding recidivism score

Answers

Answer:

157.6

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

From the question:

Mean = 140

Standard deviation = 40

Recidivism score = x score = ??

z = z score of 67th percentile = 0.44

Hence,

0.44 = x - 140/40

Cross Multiply

0.44 × 40 = x - 140

17.6 = x - 140

x = 140 + 17.6

x = 157.6

Therefore, his corresponding recidivism score is 157.6

Solve 4(2x-1)-3=9(x4)

Answers

Answer:

x=-1/4

Step-by-step explanation:

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=29

What kind of number is 438.2 rational or irrational ?

Answers

ratinal

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

A rational number is any number that can be turned into a fraction. Any decimal number can be turned into a fraction, therefore, this is a rational number.

Let f(x)=8^x

Which function represents a transformation of f(x) by a vertical stretch with factor 2?

A. g(x) = 8^2x
B. g(x) = 1/2 • 8^x
C. g(x) = 2 • 8^x
D. g(x) = 8^1/2x​

Answers

The correct answer is probably C

Marc eats an egg sandwich for breakfast and a big burger for lunch every day. The egg sandwich has 250 calories. If Marc has 5,250 calories for breakfast and lunch for a week in total, how many calories are in one big burger. ​

Answers

Answer:

21 calouris

Step-by-step explanation:

5250/250

Answer:

500

Step-by-step explanation:

250 X 7 = 1750

5250 - 1750 = 3500

3500 divided by 7 =500

A researcher is conducting research on using technology in teaching. The researcher has two groups. The first group receives instruction via a PowerPoint presentation that is online. The second group attends a class and receives instruction from a teacher face to face. The researcher classifies the students based on when they volunteer for the study. The first 50 students who volunteer receive online instruction. The next 50 receive instruction by attending a class with a teacher. With respect to this study, we could identify that:

Answers

Answer:

This study is good because we have minimized sampling error.

Step-by-step explanation:

We are given that . The researcher has two groups.

The researcher classifies the students based on when they volunteer for the study.

The first 50 students who volunteer receive online instruction. The next 50 receive instruction by attending a class with a teacher.

A. This study is poor because the researcher did not use random sampling.

B. This study is poor because the researcher did used random sampling.

C. This study is good because we have minimized sampling error.

D. This study is good due to the equal sample size in each group.

Option C is true : This study is good because we have minimized sampling error.

Uma caixa contém 40 bolinhas de jogo de tênis, sendo 10 verde, 14 azuis e 16 vermelhas. Retirando uma bola ao acaso da caixa, qual a probabilidade desta bola ser vermelha? Assinale a alternativa correta, que representa a probabilidade desta situação.

Answers

Answer:

i dont speak spanish

Step-by-step explanation:

GIVING OUT BRAINLLEST:What is the slope of the line that goes through the points (1,-2) and (3,6)?
Question 1 options:

-4


4


1


2

Answers

answer is 4

brainliest plz :)

A stack of books is 62 inches high. How high is it in feet and inches?

Answers

Answer:

5 feet and .16667 inches

Step-by-step explanation:

if you where to simplify the inches it would be 2 inches because the 6 next to the 1 is greater then five making the 1 a 2

An Uber driver charges $5.00 for each trip plus $2.75 per mile. Which equation best fits the total charges?

Answers

Answer:

y=2.75x+5.00

Step-by-step explanation:

x=miles y=cost

Thrice a number increased by 5 exceeds twice the number by 11 . Find the number.

Answers

3 • x + 5 + 11(2)
I think

What is the slope of the line?
*************

Answers

Answer:1.5

Step-by-step explanation:

Answer: 4/5

Step-by-step explanation:

Slope=rise/run

In this case we start at (-2,0)

We rise up 4 and run to the right 5 until we are at (3,4)

The supermarket has 30 aisles. 60% are empty, without any shoppers. How many empty aisles are there in the supermarket?

Answers

Answer:

18

Step-by-step explanation:

to find the percentage of something you change the percent to a decimal and multiply it by the other number, so in this case you have 0.6*30 and you get 18.

hope this helped :))

I'm doing sine, cosine, and tangent and I don't know what an opposite is in the triangle so if anyone can explain it in the most simple terms possible, that'd be great

Answers

Step-by-step explanation:

okay so basically when you have a triangle, the side that is directly across from the angle you are looking for is the "opposite". here is an attachment.

Answer:
A side opposite of an angle in a triangle is the angle that’s not adjacent to it.
In other words, an angle will touch 2 sides in a triangle. The one it doesn’t is the opposite angle.
See if the photo below helps you.

One company sells a 4 gallon jug of lemonade sells for $24 dollars another sells 8 pack of 1 quart bottles for $16, which one is cheaper?

Answers

Answer:

the 4 gallon jug of 24$ is cheaper

Answer:

The company that sells 4 gallon jug of lemonade for $24 is cheaper

Step-by-step explanation:

The second company sells 8 packs of 1 quart bottles for $16 which basically means 8 quarts for $16.

There are 4 quarts in a gallon so if there are 8 quarts,  it would equal 2 gallons.

Now we know that the second company sells 2 gallons of lemonade for $16. So to find how much they will sell for 4 gallons, we just need to multiply by 2 for gallons and the price.

The second company sells 4 gallons of lemonade for $32.

This means that the first company is cheaper.

Hope this helps and pls do mark me brainliest if you can:)

Which expressions are equivalent to the given expression? sqrt40

4sqrt10

160 1/2

40 1/2

2sqrt10

5sqrt8

Answers

Answer:

[tex]2 \: sqrt \: 10.[/tex]

Step-by-step explanation:

[tex]sqrt \: 40 = \sqrt{40} = \sqrt{4 \times 10} = \\ \sqrt{4} \times \sqrt{10} = 2 \times \sqrt{10} = \\ 2 \sqrt{10} = \\2 \: sqrt \: 10[/tex]

♨Rage♨

[tex]2\sqrt{10}[/tex] expression is equivalent to the given expression [tex]\sqrt{40}[/tex].

What is expression?

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

Given expression

[tex]\sqrt{40}[/tex]

We can write it into [tex]\sqrt{4 .(10)}[/tex]

= [tex]\sqrt{4}.\sqrt{10}[/tex]

= [tex]2\sqrt{10}[/tex]

Hence, [tex]2\sqrt{10}[/tex] expression is equivalent to the given expression [tex]\sqrt{40}[/tex].

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5. Mrs. Correa bought a box of 72 pencils and kept 30 of them for herself. She gave the rest to her 6 children so that each had the same number of pencils. Which expression could be used to find the number of pencils each child received? *

Answers

Answer:

(72-30)/6 = 7 is the equation

72-30=42

42/6=7

Step-by-step explanation:

Good luck! <3

Answer:

(72-30) divided by 6

Step-by-step explanation:

You subtract 30 from 72 because Ms.Correa is going to keep them. Then you divide that by 6 of her children to get your answer. 72-30=42, 42/6 = 7

This is due soon today can somebody help?
35 points (if they're all right)​ comment if you don't know it

Answers

Answer:

1) P(1,0)Q(-2,3)R(-3,3)S(3,2)

2) (3,4)

3) (0,-4)

4) (1,2)

Step-by-step explanation:

Find the mean of these numbers:
2,57, 38, 42,6

Answers

Answer:no

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

add all of those numbers and divide it by the value of how many numbers there are in total.

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