A farmer's land is separated into sections of size 3 3/4 acres. Suppose there are 2 1/5 such sections. How many acres of land does the farmer own?
Write your answer as a mixed number in simplest form.

Answer:

This is simple multiplication of fractions, not too bad!

we have 2 7/9 sections of farmland, each 2 1/5 acres large. To find the total acreage, multiply 2 1/5 by 2 7/9. The first step here is to convert to improper fractions.

To convert to improper fractions, multiply the denominator of the mixed number by the "whole number" portion of it. Then, add the numerator of the mixed number. For example, for 2 1/5, I would multiply 5 * 2 to get 10, then add 1 to get 11. Then, I keep the original denominator, so 11/5.

Let's do the same for 2 7/9. 9 * 2 = 18, then add 7 to get 25. The improper fraction is 25/9.

Now, we multiply the two fractions. This is just multiplying both numerators and both denominators, straight across.

(11*25)/(9*5) = 275/45 => 55/9, so that's the total acreage, or in decimal form, about 6.11 acres.

A department store sells snow boots for d dollars. The department store has a 30% off sale. Write a simplified expression to determine the total amount someone will pay, before tax, for the snow boots.

The area of a rectangle is 140 square units. The base of the rectangle is 20 units. Which equation can be used to find the height, h, of the rectangle? (A=bh)

Which relationships describe angles 1 and 2?

Select each correct answer.


adjacent angles

complementary angles

supplementary angles

vertical angles

Ihmani is going to the state fair. Each ticket for carnival games is $0.50, but she has to pay a $10 admission fee. Plot this scenario on the graph below. Does it show a proportional relationship? Why or why not?

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what is the area of the figure

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On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters. All long edges have a measure of 3 centimeters. Find the area of the figure. Explain or show how you got your answer.

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Abbigail brought 47 bags of candy for the party. Each bag contained 21 pieces of candy. If there are 500 people at the party, does she have enough to give everybody 2 pieces of candy?

Beth is solving this equation: 1/x + 3= 3/x
she says i can multiply both sides by x and get the linear equation 1 + 3x = 3, whose solution is x= 2/3
which of the following statement makes a correct argument, or shows that it is incorrect? select all that apply
A. you can assume x ≠ 0 because both sides are undefined if x = 0
B. after multiplying both sides by x you need to subtract 1 from both sides
C. you cannot multiply both sides by x because you do not know what x is.
D. the equation is not linear, so you cannot use the methods normally used for solving linear equations.

Please help with geometry!

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If you cut the cylinder perpendicular to the base, meaning straight up and down, what 2D shape is created by the cross section ?
A. oval
B. rectangle
C. circle

The change in kinetic energy (in Joules) as a horse accelerates from canter to gallop is found using the expression 12×350×(122−62)12×350×(122-62). Which is the change in kinetic energy?

A pair of shoes is on sale for 15% off. With this discount, customers will save $9 if they buy the shoes. 15% is the whole, part or percent. $9 is the (blank) and the original price is (blank).

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how far apart are the spider and the fly and how far is the bear from camp?
Number 1 and 2.

Each month the fire department hosts a pancake feed. This month 75 people attended the pancake
feed. This was 13 less than twice as many people as were at the pancake feed last month. How many
people attended last month’s pancake feed? Write and use an equation to find the answer.

A water well drilling rig has dug to a height of -60 feet after one full day of continuous use.
Assuming the rig drilled at a constant rate, what was the height of the drill after 15 hours?

Name each expression by the number of it's terms. Use monomial, binomial, trinomial, and polynomial

A jogger runs 3/5 of a mile in 1/4 of an hour. If they continue at the same time rate, what is the unit rate of the jogger, in miles per hour?

Choose the algebraic expression to represent: A number decreased by 8. Use the letter N for the variable.

Helen received a 40% discount on older model apple watch and saved two hundred and thirty dollars. What was the final selling price of the watch?

Answer both please, Tysvm!

Help me and you get good luck for the rest of 2021 XD
John bought 15 cookies and ate 3 of them. He ate ____% of the cookies. (Make sure to enter the answer using numbers only. Do not enter special characters such as the percent symbol.)

The net of a square pyramid is shown above.

What is the total surface area of the square pyramid in square meters?

CORRECT THE ERROR 1) 4a^(2)*3a^(5)=(4+ 3)a^(2+5)=7a^(7) // 2) x^(6)x*x^(3)=6^(4+3) //
3) 3^(4)*2^(3)=6^(4+3)

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What is the value of the following expression?


A 10

B 15

C 19

D 27

Based on the information shown in these triangles, what is the length of the side x?
A)1.5
B)7
С)9
D)15.75

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Earth has 24 time zones spread over its 360º circumference. Each time zone is 15º wide. Boston is close to longitude 71º W; Honolulu is close to longitude 158º W.

How many time zones apart are Boston and Honolulu?
A. They are 6 time zones apart because ≈ 6.
B. They are 5 time zones apart because ≈ 5.
C. They are 4 time zones apart because ≈ 4.
D. They are 2 time zones apart because ≈ 2.