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mihalych1998 [28]

3 years ago

5

On a recent survey, 60% of those surveyed indicated that they preferred taking a trip to the beach over a trip to the mountains.

If 810 people preferred a trip to the mountains, how many people were surveyed?
Question 1 options:

486

870

1,350

2,025

2 answers:

tankabanditka [31]3 years ago

6 0

The third one , 870

Lostsunrise [7]3 years ago

3 0

Answer:

Its Option three, 1,350.

Step-by-step explanation:

60% of 1350 is 810.

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12. A, B and C are consecutive natural numbers. If 2/7 of the reciprocal of A is equal to ⅓ of the reciprocal of C, find B.

abruzzese [7]

<h3>Answer: 13</h3>

===================================================

Explanation:

The set of natural numbers is {1,2,3,4,...} aka the set of positive whole numbers.

Consecutive natural numbers follow one right after another, like with that example above or something like 7,8,9,...

Since B follows right after A, this means B = A+1. Similarly, C = B+1 = (A+1)+1 = A+2 because C follows right after B.

So we have

A = some unknown natural number
B = A+1
C = A+2

In other words, we have the sequence A,A+1,A+2 to replace the sequence A,B,C in that order.

-----------------------

The reciprocal of A is 1/A. Taking 2/7 of this gets us 2/(7A). This result is equal to 1/3 of the reciprocal of C, so,

2/(7A) = 1/3 of 1/C

2/(7A) = 1/(3C)

2/(7A) = 1/(3(A+2))

2/(7A) = 1/(3A+6)

------------------------

Let's cross multiply and solve for A

2/(7A) = 1/(3A+6)

2(3A+6) = 7A*1

6A+12 = 7A

12 = 7A-6A

12 = A

A = 12

Therefore, B = A+1 = 12+1 = 13 and C = A+2 = 12+2 = 14

The sequence A,B,C updates to 12,13,14.

------------------------

Check:

A = 12

reciprocal of A = 1/A = 1/12

D = 2/7 of reciprocal of A = (2/7)*(1/12) = 2/84 = 1/42

C = 14

reciprocal of C = 1/C = 1/14

E = 1/3 of the reciprocal of C = (1/3)*(1/14) = 1/42

Items D and E are equal, so it confirms we have the correct answer.

8 0

2 years ago

One quarter of a bread recipe calls for 2/3 cups of bread flour how many cups are needed per person

svetlana [45]

If a whole bread recipe is the serving size per person, you would need 8/3 cups, or 2 and 2/3 cups I think.

5 0

3 years ago

Is √6/8. rational or irrational?

Ipatiy [6.2K]

<h2>Answer:</h2>

<em>The number is </em><u><em>irrational</em></u><em>.</em>

<h2>Step-by-step explanation:</h2>

<h3>1. Convert to decimal.</h3>

$\sqrt{\frac{6}{8} } =\sqrt{0.75} =0.8660254038...$

<h3>2. Conclude.</h3>

<em>Since this number shows to have infinite decimal figures, it cannot be represented as the ratio of 2 integers. Hence, the number is </em><u><em>irrational</em></u><em>.</em>

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em>Note.</em><em> In case the number expressed in the question was </em> $\frac{\sqrt{6} }{8}$ , the answer would still be <u><em>irrational</em></u><em>, for the same reasons explained above</em>.

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em>Learn more about the classification of numbers here:</em>

<em>brainly.com/question/28292851</em>

<em>brainly.com/question/28292525</em>

<em>brainly.com/question/28281557</em>

<em>brainly.com/question/28262827</em>

4 0

2 years ago

It will be -12° tonight. The weatherman predicts by noon tomorrow. What will the temperature be by noon tomorrow?

In-s [12.5K]

It will be 13° by noon.
-12°+25°=13°

7 0

3 years ago

Read 2 more answers

Write the equation of a line that is parallel to y=9, that passes through the point (3,-8)

lisov135 [29]

Answer:

y = -8

Step-by-step explanation:

If the equation is parallel to y = 9, the you already know that the equation must be y = some value. It passes through the point (3,-8). Just put that y value into the equation to get y = -8

4 0

3 years ago