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Tresset [83]
2 years ago
8

The picture below shows six quarters and two pennies. If this was broken down into two separate groups, what would be the equiva

lent ratio to six-seconds
Mathematics
1 answer:
Lyrx [107]2 years ago
7 0

Using proportions, it is found that the equivalent ratio to six-seconds would be of 3 to 1.

<h3>What is a proportion?</h3>

A proportion is a fraction of total amount, and the measures are related using a rule of three.

In this problem, six quarters are equivalent to two pennies. Dividing into two groups, there would be a penny in each group, and we want to find the amount of quarters.

The <em>rule of three</em> is:

2 pennies - 6 quarters

1 penny - x quarters

Applying cross multiplication:

2x = 6

x = \frac{6}{2}

x = 3

The equivalent ratio to six-seconds would be of 3 to 1.

You can learn more about proportions at brainly.com/question/24372153

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Solve the logarithmic equation: x= log5 (1/625)=
Verizon [17]
You can convert (1/625) to an exponent, and it would be ideal to have 5 as the base of it because you want your log base to cancel it out. what i usually do in this case is just test out 5^1, 5^2, etc until i find one that matches the number i need. in this case because the number you're trying to work with is a small fraction, you'll want to use NEGATIVE exponents so it'll create a fraction instead of a large whole number:

5^-1 = 1/5
. . . keep trying those. . .
5^-4 = 1/625

so, because they're equal to one another, it'll be waaay easier after you substitute 5^-4 in place of 1/625

x = log₅ 5⁻⁴

log base 5 of 5 simplifies to 1. subbing in the 5^-4 gets rid of the log for you altogether, and your -4 exponent drops down:

x = -4 is your answer

if the exponent dropping down doesn't make sense to you, you can think of it in another way:

x = log₅ 5⁻⁴

expand the expression so that the exponent moves in front of the log function:

x = (-4) log₅ 5

then, still, log base 5 of 5 simplifies to 1, so you're left with:

x = (-4)1 or x = -4
5 0
3 years ago
What is the 32nd term of the arithmetic sequence where a1 = 12 and a13 = -60
Olin [163]

Answer:

The 32nd term of Arithmetic sequence is -174

Step-by-step explanation:

Given: a_1=12, a_{13}=-60

We are given two term of the Arithmetic sequence.

Formula:

a_n=a+(n-1)d

For  a_1=12

a=12

For a_{13}=-60

a+12d=-60

Using two equation solve for a and d

12+12d=-60

1+d=-5

d=-6

We need to find 32nd term

a_{32}=a+31d

a_{32}=12+31(-6)

a_{32}=12-186

a_{32}=-174

Hence, The 32nd term of Arithmetic sequence is -174

5 0
3 years ago
Read 2 more answers
(15y^0 x^-3 z^2/ 3x^3 y^7 z^1/2)^2
ArbitrLikvidat [17]
Hello! For this you are just going to do this step by step, and remember to use PEMDAS. That is the order in which you should do the math. The abbreviation stands for  Parenthesis, exponents, multiplication, division, addition and subtraction. So lets get started!
<span><span>(<span><span><span><span>(<span><span><span><span><span>15<span>y0</span></span><span>x<span>−3</span></span></span><span>z2</span></span>3</span><span>x3</span></span>)</span><span>(<span>y7</span>)</span></span><span>z1</span></span>2</span>)</span>2</span><span>=<span><span><span>254</span><span><span><span>x6</span><span>y14</span></span><span>z6</span></span></span><span>x6</span></span></span><span>=<span><span>254</span><span><span>y14</span><span>z6</span></span></span></span>

Hope this helps!! If you need any more help or further explanation just let me know!! :)
 

6 0
3 years ago
Jacob wants to know the favorite sport among 6th grade students. Which types of survey below would give Jacob valid results?
Anastasy [175]
Answers are A, D
Because they will have people that don’t like sports and do like sports where as if you survey them in a sports shop there gonna like sports otherwise they wouldn’t be there
4 0
2 years ago
Read 2 more answers
The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers.
guajiro [1.7K]

Answer: the player answered 30 questions correctly.

Step-by-step explanation:

Let x represent the number of questions that the player answered correctly.

Let y represent the number of questions that the player answered incorrectly.

The number of questions that the player answered is 40. It means that

x + y = 40- - - - - - - - - - -1

The score on the trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If the player obtained a score of 50, It means that

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y = 2x - 50

Substituting y = 2x - 50 into equation 1, it becomes

x + 2x - 50 = 40

3x - 50 = 40

3x = 40 + 50 = 90

x = 90/3

x = 30

5 0
3 years ago
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