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
Degger [83]
3 years ago
14

What is the quotient of 42/3 divided by 4 1/5

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

Answer:

\large\boxed{4\dfrac{2}{3}\div4\dfrac{1}{5}=1\dfrac{1}{9}}

Step-by-step explanation:

First step:

Convert the mixed numbers to the improper fractions:

4\dfrac{2}{3}=\dfrac{4\cdot3+2}{3}=\dfrac{14}{3}\\\\4\dfrac{1}{5}=\dfrac{4\cdot5+1}{5}=\dfrac{21}{5}

Divide by a fraction is the same as multiply by the reciprocal of this fraction.

Therefore:

4\dfrac{2}{3}\div4\dfrac{1}{5}=\dfrac{14}{3}\div\dfrac{21}{5}=\dfrac{14\!\!\!\!\!\diagup^2}{3}\cdot\dfrac{5}{21\!\!\!\!\!\diagup_3}=\dfrac{2\cdot5}{3\cdot3}=\dfrac{10}{9}=1\dfrac{1}{9}

You might be interested in
A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 72 specimens and counts the number of
Oliga [24]

Answer:

99% Confidence interval:   (50.9,61.3)        

Step-by-step explanation:

We are given the following in the question:

Sample mean, \bar{x} = 56.1

Sample size, n = 72

Alpha, α = 0.01

Sample standard deviation, σ = 16.7

Degree of freedom = n - 1 = 71

99% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 71 and}~\alpha_{0.01} = \pm 2.64  

56.1 \pm 2.64(\dfrac{16.7}{\sqrt{72}} ) \\\\= 56.1 \pm 5.19\\\\ = (50.91 ,61.29)\approx (50.9,61.3)  

8 0
3 years ago
Triangle ABC is shown below. Triangle A B C is shown. The length of side A B is 2 x, the length of side B C is 4 x minus 10, and
Irina-Kira [14]
The answer is 7.
If angels ABC and BCA are congruent, then their opposite sides are congruent (sides AB and AC). Therefore, 3x-7=2x, giving you the answer of 7 when solved.
6 1
3 years ago
Read 2 more answers
Sand for use on icy roads is stored in a conical pile 14.2 m high and with a base diameter of 34.4 m calculate the volume of the
sammy [17]

Answer:

1. The volume of the pile is 4,399.7719 m^3

2. The number of sanders to be filled from a pile is 638

Step-by-step explanation:

Here, we firstly would calculate the volume of the pile

Mathematically, that will be;

V = 1/3 * pi * r^2 * h

from the question, h = 14.2

Mathematically, r = d/2

r = 34.4/2 = 17.2 m

So the volume will be:

V = 1/3 * 3.142 * 17.2^2 * 14.2

V = 4,399.7719 m^3

To find the number of sanders to be filled,

we simply divide the volume obtained by the volume a sander can take

That will be;

4,399.7719/6.9

= 637.6 which is 638

4 0
3 years ago
The sum of two rational number is 0 and one of them is -4/7,find the other<br>​
Anettt [7]

Answer:

4/7

Step-by-step explanation:

a positive will cancel out the negative number

6 0
3 years ago
Which of the following uses the distributive property correctly?
JulsSmile [24]

Answer:

here,

3( x + 5 ) = 3• x+ 3 • 5 uses the distributive property correctly.

5 0
4 years ago
Other questions:
  • How many feet is 13 meters??
    15·1 answer
  • #4 a and b and #5 please
    14·1 answer
  • Can someone please help me with this questions please I'll appreciate it :)
    7·1 answer
  • the price of a bike at store A is 5/6 the price at store B . The price at store A is 150.60.wriite an equation and solve to see
    15·1 answer
  • A theme park company is opening a marine-inspired park in your city. They are in the process of designing the theatre where a ki
    12·2 answers
  • 13/99 simplified please
    5·2 answers
  • What is the missing term in the factorization? 100 x 2 −36=4(5x+?)(5x−3)
    5·2 answers
  • Answer please and explain
    10·1 answer
  • Ram deposited a sum of Rs 4500 in a bank at the rate of 8% per year for 2.5 years find the interest of the sum and find the amou
    9·2 answers
  • It takes Carol 3 hours to drive from Ashdown to Bridgeton at an average speed of 50 mph.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!