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
Mrrafil [7]
3 years ago
15

Please help me with this math question​

Mathematics
1 answer:
scZoUnD [109]3 years ago
6 0

Answer:

<h2>d : e : f = 4 : 3 : 6</h2>

Step-by-step explanation:

\bold{METHOD\ 1}\\\\6d=8e\qquad\text{divide both sides by 6}\\\\d=\dfrac{8}{6}e\to d=\dfrac{4}{3}e\\\\\text{Substitute it and}\ f=2e\ \text{to the ratio}\ d:e:f:\\\\\dfrac{4}{3}e:e:2e\qquad\text{cancel}\ e\\\\\dfrac{4}{3}:1:2\qquad\text{multiply by 3}\\\\\huge\boxed{4:3:6}

\bold{METHOD\ 2}\\\\6d=8e\qquad\text{divide both sides by 6}\\\\d=\dfrac{8}{6}e\qquad\text{divide both sides by}\ e\neq0\\\\\dfrac{d}{e}=\dfrac{4}{3}\to d:e=4:3\\\\2e=f\qquad\text{divide both sides by 2}\\\\e=\dfrac{f}{2}\to e=\dfrac{1}{2}f\qquad\text{divide both sides by}\ f\neq0\\\\\dfrac{e}{f}=\dfrac{1}{2}\to e:f=1:2\\\\\text{We have}\ d:e=4:3\ \text{and}\ e:f=1:2.

\text{We know}\ \dfrac{1}{2}=\dfrac{1\cdot3}{2\cdot3}=\dfrac{3}{6}\\\\\text{threfore}\ e:f=3:6\\\\\text{Now we have}\\\\\left\begin{array}{ccc}d:e=4:3\\e:f=3:6\end{array}\right\}\large{\boxed{d:e:f=4:3:6}}

You might be interested in
Simplify 4(4a+5b-3)
stiks02 [169]
You times 4 by everything inside the parentheses, so the answer would be as follows. 16a + 20b - 12
4 0
3 years ago
Yesterday I ran 9.6 miles at an average speed of 0.4 miles per 5 minutes. How long did it take me to run the 96 miles?​
Alexeev081 [22]

Answer:

Step-by-step explanation:

This is how we do it in college, I hope I can be of some help.

First, you multiple 9.6 miles with 5 minutes. Then, you divide your answer with 0.4 miles. Next, you cancel the two mile units because of division and then be left with 120 minutes.

9.6 miles x <u>    5 minutes   </u> = <u>  48 miles x minute </u> = 120 minutes

                      0.4 miles          0.4 miles

8 0
3 years ago
Emily leaves her house at exactly 8:25 a.m. to bike to her school, which is 3.42 miles away. When she passes the post office, wh
mafiozo [28]
First, let's find out the number of minutes Emily has to get to school. From 8:25 to 8:50, there are 25 minutes.

Next, let's find out  the number of minutes before Emily looks at her watch. From 8:25 to 8:28.50, there are 3.5 minutes.

Now let's calculate Emily's speed in miles per minute. To do so, divide the distance traveled by the time it took:

\frac{0.75}{3.5} miles/minute

Now let's calculate how far Emily can travel in 25 minutes going this speed. To do so, we multiply her speed by the time traveled:

\frac{0.75(25)}{3.5} =5.357 miles

5.357 miles is greater than 3.42 miles, so yes, Emily will make it to school on time.


8 0
2 years ago
Let f(x) = 3x + 5 and g(x) = -4x + 7. Find.(f.g)(-4)
Shalnov [3]

Answer:

74

Step-by-step explanation:

fg(x)=f[g(x)]

=f(-4x+7)

=3(-4x+7)+5

=-12x+26

When x=-4,

fg(-4)=-12(-4)+26

=74

3 0
2 years ago
Read 2 more answers
How would you verify the trigonometric identity 2x = 2sinx cosx
dem82 [27]

Step-by-step explanation:

<em>Hi</em><em>,</em><em> </em><em>there</em><em>!</em><em>!</em>

<em>I</em><em> </em><em>hope</em><em> </em><em>you</em><em> </em><em>mean</em><em> </em><em>sin2x</em><em>=</em><em>2</em><em>sinx</em><em> </em><em>.</em><em> </em><em>cosx</em>

<em>so</em><em>,</em><em> </em><em>let's</em><em> </em><em>begin</em><em> </em><em>in</em><em> </em><em>a</em><em> </em><em>simple</em><em> </em><em>way</em><em>;</em><em> </em><em>by</em><em> </em><em>adding</em><em>,</em><em> </em><em>alright</em><em>:</em>

<em>sin2x</em><em>=</em><em> </em><em>sin</em><em>(</em><em>x</em><em>+</em><em>x</em><em>)</em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(</em><em>as</em><em> </em><em>2</em><em>x</em><em>=</em><em>x</em><em>+</em><em>x</em><em>)</em><em>.</em>

<em>now</em><em>,</em><em> </em><em>let's</em><em> </em><em>use</em><em> </em><em>compound</em><em> </em><em>formula</em><em> </em><em>for</em><em> </em><em>sin</em><em>,</em>

<em>so</em><em>,</em><em> </em><em>we</em><em> </em><em>get</em><em>:</em>

<em>sin</em><em> </em><em>(</em><em>x</em><em>+</em><em>x</em><em>)</em><em>=</em><em> </em><em>sinx.cosx</em><em> </em><em>+</em><em> </em><em>cosx</em><em>.</em><em> </em><em>sinx</em><em> </em><em> </em><em> </em><em>(</em><em>as</em><em> </em><em>sin</em><em>(</em><em>A</em><em>+</em><em>B</em><em>)</em><em>=</em><em>sin</em><em> </em><em>A</em><em>.</em><em> </em><em>cosB</em><em> </em><em>+</em><em> </em><em>cosA</em><em> </em><em>.</em><em> </em><em>sinB</em><em>)</em>

<em>or</em><em>,</em><em> </em><em>sin</em><em> </em><em>(</em><em>x</em><em>+</em><em>x</em><em>)</em><em>=</em><em>2</em><em>sinx</em><em>.</em><em>cosx</em><em> </em><em> </em><em>(</em><em>adding</em><em> </em><em>both</em><em>)</em><em>.</em>

<em>Therefore</em><em>, </em><em> </em><em>sin</em><em> </em><em>2</em><em>x</em><em> </em><em>=</em><em> </em><em>2sinx</em><em>.</em><em> </em><em>cosx</em><em>.</em>

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em>

5 0
3 years ago
Read 2 more answers
Other questions:
  • 5+ =83 can someone help me out
    11·2 answers
  • A circular plate has circumference 17 inches. What is the area of this​ plate?
    12·1 answer
  • Which list shows the order of original appearance on earth, from the earliest to the most recent organism? A. bacteria, lizards,
    6·1 answer
  • Describe how you would multiply 4 x 300 using mental math
    6·2 answers
  • You have four flouders, and 5 blue fish. if you have 60 fish, how many fish are flounders?​
    15·1 answer
  • HELPPPPPPPPPPPP]PPPPPP​
    13·1 answer
  • 4. Convert the following fractions to decimals<br> 1. 23/100
    5·2 answers
  • Please help me asap​
    9·1 answer
  • A bag contains an equal number of blue, green, pink, and red balls. If a ball is chosen at random 160 times, with replacement, p
    9·1 answer
  • List the prime numbers up to 40
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!