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
RoseWind [281]
2 years ago
8

Find a ratio equivalent to 15/60

Mathematics
2 answers:
Flauer [41]2 years ago
7 0

Answer:

\large\boxed{\dfrac{15}{60}=\dfrac{5}{20}=\dfrac{3}{12}=\dfrac{1}{4}}

or

\large\boxed{\dfrac{15}{60}=\dfrac{30}{120}=\dfrac{45}{180}=\dfrac{60}{240}}

Step-by-step explanation:

Divide the numerator and the denominator by the same number:

\dfrac{15}{60}\\\\=\dfrac{15:5}{60:5}=\dfrac{3}{12}\\\\=\dfrac{15:3}{60:3}=\dfrac{5}{20}\\\\=\dfrac{15:15}{60:15}=\dfrac{1}{4}\\\vdots

or

Multiply the numerator and the denominator by the same number:

\dfrac{15}{60}\\\\=\dfrac{15\cdot2}{60\cdot2}=\dfrac{30}{120}\\\\=\dfrac{15\cdot3}{60\cdot3}=\dfrac{45}{180}\\\\=\dfrac{15\cdot4}{60\cdot4}=\dfrac{60}{240}\\\vdots

astraxan [27]2 years ago
4 0

Answer:

30/120, 45/180, 60/240, etc.

Step-by-step explanation:

When you multiply the denominator and numerator by any same number, you find a multiple, or ratio, of a fraction.

<u>15</u> x2 = <u>30</u>

60 x2 = 120

You might be interested in
Can you plz help with this?
Allisa [31]

Answer:

d

Step-by-step explanation:

inverse property of addition is going back to zero with the equation so adding 2 to negative 2 will go back to zero

6 0
2 years ago
Read 2 more answers
Maria would like to leave a tip (t) of at least 15% of her dinner bill (b). Which inequality best could be used to find the amou
mr_godi [17]
First let's define the variables of the problem:
 t: Tip
 b: dinner bill.
 We write the inequality based on the following proposition:
 "Maria would like to leave a tip (t) of at least 15% of her dinner bill (b)"
 We have then that the inequation is:
 t> = 0.15b
 Answer:
 An inequality best could be used to find the amount of the tip Maria would like to leave is:
 
t> = 0.15b
3 0
3 years ago
Write an explicit formula for a_nth term of the sequence 18, 6, 2, ...
Ugo [173]

Answer:

Step-by-step explanation:

3 0
2 years ago
Trig proofs with Pythagorean Identities.
lorasvet [3.4K]

To prove:

$\frac{1}{1-\cos x}-\frac{\cos x}{1+\cos x}=2 \cot ^{2} x+1

Solution:

$LHS = \frac{1}{1-\cos x}-\frac{\cos x}{1+\cos x}

Multiply first term by \frac{1+cos x}{1+cos x} and second term by \frac{1-cos x}{1-cos x}.

        $= \frac{1(1+\cos x)}{(1-\cos x)(1+\cos x)}-\frac{\cos x(1-\cos x)}{(1+\cos x)(1-\cos x)}

Using the identity: (a-b)(a+b)=(a^2-b^2)

        $= \frac{1+\cos x}{(1^2-\cos^2 x)}-\frac{\cos x-\cos^2 x}{(1^2-\cos^2 x)}

Denominators are same, you can subtract the fractions.

       $= \frac{1+\cos x-\cos x+\cos^2 x}{(1^2-\cos^2 x)}

Using the identity: 1-\cos ^{2}(x)=\sin ^{2}(x)

       $= \frac{1+\cos^2 x}{\sin^2x}

Using the identity: 1=\cos ^{2}(x)+\sin ^{2}(x)

       $=\frac{\cos ^{2}x+\cos ^{2}x+\sin ^{2}x}{\sin ^{2}x}

       $=\frac{\sin ^{2}x+2 \cos ^{2}x}{\sin ^{2}x} ------------ (1)

RHS=2 \cot ^{2} x+1

Using the identity: \cot (x)=\frac{\cos (x)}{\sin (x)}

        $=1+2\left(\frac{\cos x}{\sin x}\right)^{2}

       $=1+2\frac{\cos^{2} x}{\sin^{2} x}

       $=\frac{\sin^2 x + 2\cos^{2} x}{\sin^2 x} ------------ (2)

Equation (1) = Equation (2)

LHS = RHS

$\frac{1}{1-\cos x}-\frac{\cos x}{1+\cos x}=2 \cot ^{2} x+1

Hence proved.

5 0
3 years ago
8 meters increased by 25%
const2013 [10]
<span><u><em>Answer:</em></u>
10 meters

<u><em>Explanation:</em></u>
<u><em>First, we will compute 25% of 8 as follows:</em></u>
25% of 8 = 25% * 8
= 0.25 * 8
= 2

Now, 8 increased by 25% of 8 means that <u>we will add the 25% of the 8 that we computed to the 8</u> we have.
<u><em>Therefore</em></u>:
8 increased by 25% = 8 + 25% of 8
= 8 + 2
= 10 meters

Hope this helps :)</span>
4 0
2 years ago
Other questions:
  • Form an equation based on the information given.
    10·1 answer
  • Kelly bought 3 peppers, 2 onions, and 4 tomatoes.What is the ratio of peppers to all the vegetables Kelly bought
    11·2 answers
  • What is the value for x in this equation?<br> 42x – 3 = 7.27
    11·2 answers
  • Evaluate the expression. 2*(3^6*3^-5)
    13·2 answers
  • Police investigating traffic accidents often estimate the speed of a vehicle by measuring
    13·1 answer
  • What number is 65% of 140
    10·2 answers
  • Spencer and Hanna buy a pizza for $18 that is half pepperoni and half veggie. They cut the pizza into 8 slices.
    11·1 answer
  • a que taxa mensal devo empregar um capital de r$ 20.000 para que no fim de 10 meses renda 18.000 de juros
    6·1 answer
  • Calculate the value of (1/2)^4
    9·1 answer
  • Find the distance bewteen points H(8,4) and k(7,6) to the nearest hundreath
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!