I need help!. My daughters lesson is on improper Fractions and mixed numbers. I need the answers to all of these math problems and also an example explaining how to do them.

Answers

Answer 1

Answer: When doing improper fractions, you're going to keep the denominator the same. For example in question number 6, there are 18 triangles filled in so the improper fraction would be 18/5. Mixed numbers consist of the number of whole numbers filled and the remainder in the fraction. Therefore number 7, mixed number is 2 3/5 and the improper fraction would be 13/5. I'll list the rest of the answers below:
8.) Mixed: 1 3/5 Improper: 8/5
9.) Mixed: 4 1/4 Improper: 17/4
10.) 5/4, 7/4
12.) 13/8, 7/4, 19/8, 5/2, 21/8
13.) 4/3, 17/9, 7/3

Note: You can simplify improper fractions, this is why you'll get different denominators on the number line questions.

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Jerry bought 4 DVDs for 25.20 what was the unit rate

Answers

Based on the information given the unit rate is: $6.30.

Unit rate:

Using this formula

Unit rate=Cost/Number of DVDs

Where:

Cost=25.20

Number of DVDs=4

Let plug in the formula

Unit rate=25.20/4

Unit rate=$6.30

Inconclusion the unit rate is: $6.30.

Learn more about unit rate here:brainly.com/question/4895463

If 4 DVDs cost $25.20, then 1 DVD costs $(25.20)/(4)$ =$6.30.

Use the following area model to multiply 42 x 73 What is the area of rectangles A, B, C, and D?

Answers

A=2800,B=120,C=140,D=6

Answer:

A=2,800 B=120 C=140 D=6

Step-by-step explanation:

4*7 is equal to 28, then 40*70 is equal to 2,800.

when you multiply a 2-digit number always multiply the first digit from the first number with the first digit from the second number and think of them as single digits, for example, I don't know how to do 30*40, first, take the 3 and the 4 then multiply them. 3*4 equals 12, then you take the 0s and add them to the number, and now we have 1200! The same goes for 42*73, I hope this helps!

When two angles areadded together, they
form a 90° angle. One
of the angles is 1/2 the
other. How large Is the
smaller angle?

Answers

Answer:

30 degrees

Step-by-step explanation:

this can be expressed by x+y=90.

1/2y=x

multiply both sides by two to isolate y

y=2x

now sub in 2x for y in the first equation

x+2x=90, 3x=90, divide both sides by 3 to isolate x,

x=90/3=30

now subtract the value of x from 90 to find y

90-x=y, 90-30=y, 60=y

the smaller angle is 30 degrees.

What is 9 cubed in expanded

Answers

you just put 9 with a 3at the top of it

9 cubed is 9 x 9 x 9. This equals 729.

(7 x 102) + (2 x 101) + (9 x 100)

Jan's pencil is 8.5 cm long. Ted's pencil is longer. type a demical that could represent the length of ted's pencil

Answers

Answer: Ted's pencil could be 8.6 cm.

Step-by- Step explanation:

Since we have given that

Length of Jan's pencil= 8.5 cm

According to the question, we know that Ted's pencil is longer.

So, it must be larger in value than 8.5 cm .

So, it can be any decimal number greater than 8.5 cm

Hence, Ted's pencil could be 8.6 cm.

If Jan's pencil is 8.5 cm long, and Ted's is longer, anything larger than 8.5 should work.

Examples - 8.9 c.m.
9.6 c.m.

Find the area of a square with side a when a=2 in, a=12 in, and a=0.8 in. Are the area of a square and the length of its side directly proportional quantities? Why or why not?

Answers

Answer:

4 inches²

144 inches²

0.64 inches²

Yes, the area of a square and the length of its side directly proportional quantities.

Step-by-step explanation:

In this question, we have to find the area of square by changing the lengths of a side. Given lengths are: 2, 12, 0.8. I will evaluate the area of each side and try to find out the relation between area and length of side.

First, we start with the smallest length (a=0.8 inches)

Area of a square is calculated by taking the square of single side (since both sides are equal).

Area of square = a²

Area of square = 0.8²

Area of square = 0.64 inches²

Area of square with smallest side length (a=0.8 inches) = 0.64 inches²

Secondly, we start with the 2nd highest length (a=2 inches)

Area of square = a²

Area of square = 2²

Area of square = 4 inches²

Area of square with second largest side length (a=2 inches) = 4 inches²

Thirdly, we start with the highest length (a=12 inches)

Area of square = a²

Area of square = 12²

Area of square = 144 inches²

Area of square with highest side length (a=12 inches) =144 inches²

As we can see, with the increase in the length of a side, area of square is also increasing. Therefore, yes the area of a square and the length of its side are directly proportional quantities as the area increases or decreases when the length of the side increases or decreases.

Answer:

They are directly proportional quantities.

Step-by-step explanation:

DEFINITION

Two quantities are said to be directly proportional if an increase in one quantity lead to an increase in the other quantity.

Area of a Square = $Length^2$

Area of a Square of Length 2 inch = $2^2=4 \:square \:inch$

Area of a Square of Length 12 inch = $12^2=144 \:square \:inch$

Area of a Square of Length 0.8 inch = $0.8^2=0.64 \:square \:inch$

Arranging the sides and corresponding area in ascending order:

(0.8, 2, 12) = (0.64, 4, 144)

We notice that as the length increases, the area also increases.

Therefore, the area of a square and the length of its side are directly proportional quantities.