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Maksim231197 [3]
3 years ago
8

If there are 3 adventure books for every 7 biographies, which equation correctly shows the relationship between adventure books

(A) and biographies (B)?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
3 0

Answer:

<u>The correct answer is A. A = 3/7 × B </u>

Correct statement and question:

If there are 3 adventure books for every 7 biographies, which equation correctly shows the relationship between adventure books (A) and biographies (B)?  

A: A = 3/7 × B

B: B = 3/7 × A

C: 7/3 = A × B

D: A = 7/3 × B

Source: Previous question that can be found at brainly

Step-by-step explanation:

A = Adventure books

B = Biographies

There are 3 adventure books for every 7 biographies

Which equation correctly shows the relationship between adventure books (A) and biographies (B)?  

3/7 = A/B

7A = 3B

A = 3B/7

<u>The correct answer is A. A = 3/7 × B </u>

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Jose and Maris work for different car dealerships. Jose earns a monthly salary of $3,500 plus a 6% commission on his sales, x. M
aev [14]

Answer: d.3,500 + 0.06x > 4,000 + 0.04x

Step-by-step explanation:

Hi, to answer this question we have to write each inequality:

Jose earns a monthly salary of $3,500 plus a 6% commission on his sales, x.

So, his monthly earnings must be equal to the sum of the fixed monthly salary ($3500) plus the product of the number of sales (x) and the commission percentage in decimal form (divided by 100):

So:

Jose’s earnings: 3,500 + x (6/100)

Jose’s earnings: 3,500 + 0.06x

Maris earns a monthly salary of $4,000 plus a 4% commission on her sales.

So, her monthly earnings must be equal to the sum of the fixed monthly salary ($4000) plus the product of the number of sales (x) and the commission percentage in decimal form (divided by 100):

Maris’ earnings: 4000+ x (4/100)

Maris’ earnings: 4000+ 0.04 x

Since Jose's earnings must be greater than Maris' earnings

3,500 + 0.06x >4000+ 0.04 x

4 0
3 years ago
The price of a computer component is decreasing at a rate of 15% per year.
Alex_Xolod [135]

Answer:

  • exponential
  • $30.71

Step-by-step explanation:

Usually, this wording means the decrease is proportional to the current price, characteristic of an exponential function.

__

The decay factor is 1-(decay rate), so is 1-0.15 = 0.85. After 3 years, the value has been multiplied by this factor 3 times:

  $50×0.85³ ≈ $30.71 . . . . cost in 3 years

_____

<em>Comment on percent per year</em>

Less often, the indicated decrease is intended to be <em>that percentage of the original price</em>. The result is that the price decreases by a constant amount each year, a linear decrease. This condition most often arises in conjunction with figuring depreciation in value for tax or accounting purposes.

The upshot is that you always need to be careful to understand what the base of a percentage is intended to be.

5 0
3 years ago
The length of one leg of a 45° − 45° − 90° triangle is 24. What is the perimeter of the triangle?
prohojiy [21]
<u><em>Answer:</em></u>
second leg = 24 units
hypotenuse = 24√2 units
perimeter = 48 + 24√2 units

<u><em>Explanation:</em></u>
<u><em>1- getting the other leg:</em></u>
Since the triangle given is an isosceles triangle, this means that the two legs are equal in lengths.
We are given that one of the legs is 24 units, therefore, the other leg is also 24 units

<u><em>2- getting the hypotenuse:</em></u>
The given triangle is a right-angled triangle. We can use Pythagorean theorem to get the hypotenuse as follows:
(hypotenuse)² = (24)² + (24)²
(hypotenuse)² = 1152
hypotenuse = 24√2 units

<u><em>3- getting the perimeter:</em></u>
The perimeter of the triangle is the summation of its three sides.
In the given triangle, we have:
two legs = 24 units
hypotenuse = 24√2 units
Therefore:
perimeter = 24 + 24 + 24√2
perimeter = 48 + 24√2 units

Hope this helps :)
5 0
3 years ago
How to solve this proof
iris [78.8K]

they are Acute angles because is is smaller than 90 degrees

obtuse = >90 degrees

right angle = 90 degrees

Acute = < 90 degrees


I hope this helps:)

4 0
3 years ago
Write a function that could be used to calculate the altitude of a plane arriving at JFK
Ipatiy [6.2K]

Answer:

<em>The plane landed after 9.4 minutes.</em>

Step-by-step explanation:

<u>Function Modeling</u>

The initial altitude of a plane arriving at JFK International Airport is 30,000 ft.

It then began its descent at a rate of 3,200 feet per minute.

Let's call t the number of minutes since the descent started. If each minute the plane descends 3,200 feet, then after t minutes it descends 3,200t.

This must be subtracted from the initial altitude, thus the altitude H is written as:

H = 30,000 - 3,200t

When the plane landed, its altitude was H=0, thus:

0 = 30,000 - 3,200t

Adding 3,200t:

3,200t = 30,000

Dividing by 3,200:

t = 30,000/3,200

t = 9.375 minutes

Rounding to the nearest tenth:

The plane landed after 9.4 minutes.

7 0
3 years ago
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