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
Marat540 [252]
3 years ago
8

What is 4 1/2 - 2 2/5 in simplest form

Mathematics
1 answer:
Serggg [28]3 years ago
4 0

Answer: 2 and 1/10

Step-by-step explanation: To subtract mixed numbers, we first subtract the fractions.

Notice that 1/2 and 2/5 are unlike fractions so we need a common denominator which in this case is 10. <em>If you need a review on how to find the common denominator for these fractions, let me know in the comments below and I will be more than happy to explain</em>.

To get a 10 in the denominator of 1/2, we multiply the numerator and the denominator by 5 to get 5/10. To get a 10 in the denominator of 2/5, we multiply the numerator and denominator by 2 to get 4/10.

So we have 4 and 5/10 - 2 and 4/10.

Subtracting the fractions, 5/10 - 4/10 is 1/10 and subtracting the whole numbers, 4 - 2 is 2. So 4 and 1/2 - 2 and 2/5 is 2 and 1/10.

You might be interested in
What are the solutions to the equation y2 – 1 = 48?
Furkat [3]

{y}^{2}  - 1 = 48 \\  {y}^{2}  = 49 \\ y =  \sqrt{49}  \\ y =  - 7 \: or \: 7

{y}^{2}  - 1 = 24 \\  {y}^{2}  = 25 \\ y =  \sqrt{25}  \\ y =  - 5 \: or \: 5

Hope this helps. - M
6 0
3 years ago
Which of the following is the contrapositive of the following statement: If it is past 5:00 p.m., Megan’s office building is not
scoundrel [369]

Answer:

B

Step-by-step explanation:

A contrapositive statement is one that switches the hypothesis and conclusion of a conditional statement and negates both. In our hypothesis,

"If it is past 5:00 p.m., Megan’s office building is not empty", we shall break it into two statements and show the contarpositive of each like shown below.

Hypothesis                                             Contrapositive

Megan’s office building is not empty- Megan’s office building is empty

It is past 5:00 p.m  - it is not past 5:00 p.m

And thus the contrapositive statement becomes

If Megan’s office building is empty, then it is not past 5:00 p.m.

7 0
3 years ago
Suppose there are two individuals, Casey and Rick, who live in a very simplified world where only two goods are produced and con
TiliK225 [7]
The answer you should get is 150
7 0
3 years ago
Given \qquad m \angle LONm∠LONm, angle, L, O, N is a straight angle. \qquad m \angle MON = 8x - 13^\circm∠MON=8x−13 ∘ m, angle,
Tamiku [17]

Answer:

<h3>\boxed{99°}</h3><h3 />

Step-by-step explanation:

m<MON = 8x - 13°

m<LOM = 7x - 17°

To find : m <MON

First, we have to find the value of x :

Create an equation

\mathrm{8x - 13 + 7x - 17 = 180} ( sum of angle in straight line )

Collect like terms

\mathrm{15x - 13 - 17 = 180}

Calculate

\mathrm{15x - 30 = 180}

Move constant to R.H.S and change its sign

\mathrm{15x = 180 + 30}

Calculate the sum

\mathrm{15x = 210}

Divide both sides of the equation by 15

\mathrm{ \frac{15x}{15}  =  \frac{210}{15} }

Calculate

\mathrm{x = 14}

Now, let's find the value of m<MON

\mathrm{8x - 13}

Plug the value of x

\mathrm{ = 8 \times 14 - 13}

Calculate the product

\mathrm{ = 112 - 13}

Calculate the difference

\mathrm{ = 99} °

Hope I helped!

Best regards!

6 0
3 years ago
A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 130 feet from a pili
Dimas [21]

Answer:

x = 225.16 feet

Step-by-step explanation:

Given that,

The angle between the piling and the pier is 60°.

A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.

We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :

\tan(60)=\dfrac{x}{130}\\\\x=\tan(60)\times 130\\\\x=225.16\ feet

So, the required distance is 225.16 feet.

4 0
3 years ago
Other questions:
  • What is the solution set for StartAbsoluteValue z + 4 EndAbsoluteValue greater-than 15? 11 less-than z less-than 19 Negative 19
    11·2 answers
  • What x value solves the equation? 3x – 5 = 1 x =
    14·2 answers
  • In the diagram, the length of Line XY is ___.
    6·1 answer
  • Each month, the census bureau mails survey forms to 250,000 households asking questions about the people living in the household
    11·1 answer
  • Please help!!! I’m failing with a 38 in math rn! I’ll make you brainlest. Thank you
    14·1 answer
  • What is the answer to 58Q+6Q*8Q
    11·1 answer
  • Help help help help help help help
    11·2 answers
  • Which value is NOT equivalent to 135%?
    11·1 answer
  • Please help im desperate no. 48 and 49​
    14·2 answers
  • A piece of land is 20cm by 5cm. A portion of the land by size 10cm by 2cm was used to cultivate tomatoes. what is the area of th
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!