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
11111nata11111 [884]
3 years ago
9

Given that a:b = 4:5 and b:c=3.2 find the ratio a:b:c in its simplest form

Mathematics
2 answers:
alex41 [277]3 years ago
5 0
A:b = 4:5
b:c=3:2
b was 5 then it was 3, so you have to find the common multiple which is 15.
you’d have to times the 4 (a) by 3 since that 5x3 is 15
you’d have to times the 2 (c) by 5 since 5x3 is 15 again.
therefore the answer would be
a:b:c
12:15:10
I hope this makes sense it was kinda hard to explain sorry :)
Mkey [24]3 years ago
5 0

Hello,

Step-by-step explanation:

\frac{a}{4} = \frac{b}{5}  and  \frac{b}{3}  = \frac{c}{2}

or 5a = 4b and 2b = 3c ⇔ 15a = 12b and 10b = 15c

In fractions :

\frac{a}{12}  = \frac{b}{15}  and \frac{b}{15}  = \frac{c}{10}

We have :

a:b:c = 12:15:10

You might be interested in
A medical company tested a new drug for possible side effects. The table
Lelu [443]
The correct answer is b
4 0
3 years ago
Based on historical data, your manager believes that 40% of the company's orders come from first-time customers. A random sample
Vedmedyk [2.9K]

Answer:

P(0.26 \leq p \leq 0.43)=0.7204-0.0032=0.7172

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The population proportion have the following distribution

p \sim N(p=0.4,\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.4(1-0.4)}{91}}=0.0514)

And we can solve the problem using the z score on this case given by:

z=\frac{p_o -p}{\sqrt{\frac{p(1-p)}{n}}}

We are interested on this probability:

P(0.26 \leq p \leq 0.43)

And we can use the z score formula, and we got this:

P(\frac{0.26 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}} \leq Z \leq \frac{0.43 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}})

P(-2.726 \leq Z \leq 0.584)

And we can find this probability like this:

P(-2.726 \leq Z \leq 0.584)=P(Z

7 0
3 years ago
A square carpet of side length 9 feet is designed with one large shaded square and eight smaller, congruent shaded squares, as s
Pepsi [2]

Answer:

3\sqrt{3} + 72

Step-by-step explanation:

I attached an image to aid the understanding of the question.

Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:

9 \times 8 = 72ft^{2}

It remains the area of the shaded square with side S.

From the question, we have the following ratio:

\frac{9}{S} = \frac{S}{T}[\tex]But[tex]\frac{9}{S} = \frac{S}{3}[\tex]Multiplying through by 3S we have27 = S² and this gives:[tex]S = \sqrt{27} = 3\sqrt{3}

I did not add ± because length is always positive, so the case of negative is eliminated.

Now the areas of S is 3\sqrt{3}

Therefore, the total area of the shaded squares is

3\sqrt{3} + 72

3 0
2 years ago
Please help with algebra!!! ill give brainliest
patriot [66]

Answer:

answer is attached in the image below

4 0
3 years ago
Read 2 more answers
3500ca = 1fp
MAXImum [283]

Answer: 1fp = 525 minutes

           35fp = 18,375 minutes

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

Solve this using conversions

\dfrac{30\ minutes}{200\ ca } \times \dfrac{3500\ ca}{1\ fp}= 525\ minutes\ per\ fp

For 35 fp, multiply 35 fp by 525 minutes per 1 fp = 18,375

5 0
3 years ago
Other questions:
  • In a large backyard, there are 4 times as many shrubs as trees. Altogether, there are 40 trees and shrubs. How many trees are in
    13·2 answers
  • Order from least to greatest 1.672, 0.672, 1.762
    6·2 answers
  • Y
    9·1 answer
  • Team tool bella canoed 15 3/4 miles in 5/4 hours. What was their average rate of speed in mph ​
    13·1 answer
  • The integer to represent a gain of 9 pounds would be ______.
    5·1 answer
  • Write a word sentence as an inequality.<br><br> A number k minus 8.4 is greater than 21.
    11·1 answer
  • Which statements describe the graph of 2 8/9 ≥ x on a number line? Select three options.
    9·2 answers
  • How many solutions are in this inequality? -2x+7&lt;-41
    11·1 answer
  • Which graph represents the same relation as the table below?
    14·1 answer
  • A rectangle has perimeter 28cm. Its area is 42sq.cm. Determine the dimensions of the rectangle. Include a diagram in your soluti
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!