MATHEMATICS MIDDLE SCHOOL

The Area of a rectangular patio is 5 5/8 square yards,and it's length is 1 1/2 yards.What is the patio's width,in yards?

Answers

Answer 1
Answer: Take both mixed numbers (a whole number plus a fraction) and turn them into improper fractions ( a numerator (top number) bigger than the denominator (bottom number). To do this, multiply the denominator by the whole number, and add the result to the numerator.
5 5/8 will become 45/8
1 1/2 will become 3/2.
Area is length* width, so width would be Area/ length. So 45/8 is the area and 3/2 is the length. Now you have (45/8)/(3/2). To divide fractions, take the second fraction and flip the numerator and denominator, forming the reciprocal (2/3). Now multiply 45/8 and 2/3
The result is 90/24, and simplifying would get 15/4, or 3 3/4. This is the width(or length)
Answer 2
Answer:

Answer:

8 7/16

Step-by-step explanation:

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a travel company has 132 tourists who are going on a boat ride. each boat holds 8 passengers. how many boats does the travel company need to book ?

Answers

ok so
total capacity that all boats ordered can carry should be at least 132
total capacity that all boats ordered can carry =number of boats times number of people each boat can carry

people each boat can caryy=8 people
x=numbe of boats
132=x times 8
divide both sides by 8
132/8=x times 8/8
16.5=1x
16.5=x
you can't order 0.5 boats so round up to nearest whole
16.5 to 17

answer is 17 boats

132/8=16.5 boats
since you cant get 16.5 boats, round up to 17 boats.

Students at hammond middle school are raising money for the end of the year school party. they decide to sell roses for valentines day. they also need $60 to buy ribbon and paper to protect the roses as well as materials for advertising the sale. they sell each rose for $1.30a. how many roses must they sell to break even
b. what is the students profit if they sell 50 roses? 100 roses? 200 roses?

Answers

60÷1.30 = 46.15 ≈ 47
They would need to sell 47 roses to break even.
50×1.30 = 65 = $5 profit.
100×1.30 = 130 = $70 profit
200×1.30 = 260 = $200 profit

How could you estimate the sale price of items that are 1/4 off

Answers

Multiply the original price by .25, then subtract that answer from the original price.

Hope I could help! :)

Stella graphs the equation y=1/3x – 2. Select all statements about Stella's graph that are true.

A.The graph is a straight line.

B.The line passes through the origin.

C.The line passes through the point (0, –2)(0, –2) .

D.The slope of the line is 3.

E.The y-intercept of the line is 2.

Answers

The correct statements regarding the line y = (1/3)x - 2,

A. The graph is a straight line.

C. The line passes through the point (0, - 2) .

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, An equation of a line y = (1/3)x - 2.

The correct statements are,

The graph is a straight line.

The line does not pass through the origin at, when x = 0, y = - 2.

Now, for x = 0, y = - 2 so, The line passes through the point (0, - 2).

learn more about lines and slopes here :

brainly.com/question/3605446

#SPJ5
The answer should be The graph is a straight line. and The line passes through the point (0, –2)(0, –2) .
Hope I helped.

What is 300 in scientific notation

Answers

You move the decimal over by 2 to get 3.0 x 10 ^2
3*10^2 
ten is raised to the second power

Fill in the blank with a symbol that makes this statement true please help with my homework

Answers

2.5=2 1/2 = 5/2
2/5 = 0.4
bring to decimals 2.5 >0.4
because by dropping the decimal points we gave 25>4
compering by fraction 2 1/2 = 5/2
2/5
bring to a common denominator of 10  5(5) / 2(5); 2(2) / 5(2)=>
25/10; 4/10
compare numerators 25>4
Denominator 2 is a prime number
Denominator 5 is a prime number
LCM (2, 5) = 2 * 5 = 10
For fraction: 1 / 2 is 10 : 2 = (2 * 5) : 2 = 5
For fraction: 2 / 5 is 10 : 5 = (2 * 5) : 5 = 2
1 / 2 = (5 * 1) / (5 * 2) = 5 / 10
2 / 5 = (2 * 2) / (2 * 5) = 4 / 10
4 / 10 < 5 / 10
2 / 5 < 1 / 2
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