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
SSSSS [86.1K]
2 years ago
10

Which choice below shows the following numbers in order from least to greatest?

Mathematics
1 answer:
vfiekz [6]2 years ago
5 0

Answer:

1/3, \sqrt{4}, π, \sqrt{16}, 8

Step-by-step explanation:

Simplifying or rounding complicated numbers to integers can help us order them.

  • Integer - an integer is any whole number, including zero, that can be negative or positive.

Simplifying Numbers

Numbers like 1/3 and 8 don't need to be simplified because they are commonly used and understood.

Both 4 and 16 are perfect squares. So, to simplify these numbers we can just solve.

  • \sqrt{4} = 2
  • \sqrt{16} = 4

There is no way to "solve" pi, but we can round it to an easier number. Technically, pi is irrational, so there is no way to write out the whole number. However, in this case, we can just round to the nearest whole number.

  • π ≈ 3

This means, in the order they appear, the simplified numbers are 2, 8, 4, 1/3, and 3.

Ordering the Numbers

From this point, they should be easy to order.

  • 1/3 is the smallest because it is the only number less than 1.
  • \sqrt{4} is next because it is equal to 2
  • π is third since it is only slightly above 3
  • \sqrt{16} is fourth since it is equal to 4
  • 8 is the largest number on the list.
You might be interested in
What is the x-value of the solution to the system of equations?
ValentinkaMS [17]

Answer:

The solution to the system of equations is:

x=4,\:y=-3

Step-by-step explanation:

Given the system of equations

5x + 4y =8

2x- 3y = 17

solving the system of equations

\begin{bmatrix}5x+4y=8\\ 2x-3y=17\end{bmatrix}

\mathrm{Multiply\:}5x+4y=8\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:10x+8y=16

\mathrm{Multiply\:}2x-3y=17\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:10x-15y=85

\begin{bmatrix}10x+8y=16\\ 10x-15y=85\end{bmatrix}

10x-15y=85

-

\underline{10x+8y=16}

-23y=69

\begin{bmatrix}10x+8y=16\\ -23y=69\end{bmatrix}

solve for y

-23y=69

Divide both sides by -23

\frac{-23y}{-23}=\frac{69}{-23}

y=-3

\mathrm{For\:}10x+8y=16\mathrm{\:plug\:in\:}y=-3

10x+8\left(-3\right)=16

10x-24=16

10x=40

Divide both sides by 10

\frac{10x}{10}=\frac{40}{10}

x=4

Thus, the solution to the system of equations is:

x=4,\:y=-3

7 0
2 years ago
What is nine divided by five and one fourths
blsea [12.9K]
The answer is 1.7142
7 0
3 years ago
Read 2 more answers
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bars(s).
kirza4 [7]

Answer:

(a)23 (b)90 (c)3

Step-by-step explanation:

The equation for the line of best fit for this situation is given as

y=\frac{3}{10}x+8

where x=average temperature in degrees

y=average number of hot dogs she sold,

(a) The expected number of hot dogs sold when the temperature is 50° would be___hot dogs.

When x=50°

y=\frac{3}{10}X50+8=15+8=23

When the temperature is 50°, the expected number of hot dogs sold would be 23.

(b)If the vendor sold 35 hot dogs, the temperature is expected to be ___degrees.  

If y=35

35=\frac{3}{10}x+8\\35-8=\frac{3}{10}x\\27=\frac{3}{10}x

Multiply both sides by 10/3

27 X \frac{10}{3}= \frac{3}{10}x X \frac{10}{3}\\x=90^{0}

If the vendor sold 35 hot dogs, the temperature is expected to be 90 degrees.  

(c) Based on the line of best fit, for every 10-degree increase in temperature, she should sell 3 more hot dogs.

3 0
3 years ago
Sir Ving Spoon earned $5,436 on his $7,550 certificate of deposit. If he had the CD for 12 years, what simple interest rate did
Lilit [14]

6% or 0.06 is the simple interest rate the bank pays him.

<u>Step-by-step explanation:</u>

Sir Ving Spoon earned $5,436 on his $7,550 certificate of deposit.

From this given information,

It can be determined that the Principal amount is $7550 and the interest amount is $5436.

The CD is for 12 years. Therefore, the number of years is 12.

<u>To find the interest rate (r) :</u>

Using the simple interest formula,

Interest = P×r×t

where,

  • P is the principal amount = $7550
  • r is the rate of interest.
  • t is the number of years = 12

⇒ 5436 = 7550 × r × 12

⇒ 5436 = 90600 × r

⇒ r = 5436 / 90600

⇒ r = 0.06

Multiply by 100 to represent in rate %

⇒ r = 0.06 × 100

⇒ r = 6%

∴ 6% or 0.06 is the simple interest rate the bank pays him.

5 0
3 years ago
Please helppp!!!!!!!
rjkz [21]

Answer:

66

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Which statement defines the term capacity
    10·1 answer
  • Reduce fraction 27/36 lowest term
    8·2 answers
  • Calculate straight time for 30 hours worked at $10.15 per hour
    5·2 answers
  • As the radius of the wheel increases what happens to its circumference
    9·1 answer
  • In the United States, the point of lowest elevation is 282 ft below sea level (Death Valley, California) and the point of highes
    13·2 answers
  • Can the absolute value of -4 be 1/4
    5·2 answers
  • Which graph shows the solution set of x^2+9x+20/x^2-x-20&gt;0?
    12·2 answers
  • 6/7 * 6/7 equals please help
    6·2 answers
  • What is a name for the marked angle?<br><br><br> Choose 1 answer:
    10·2 answers
  • HELPPPPPPPPPPPPPpppp
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!