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Kitty [74]
4 years ago
10

an apple orchard contains a hundred and twelve trees the number of trees in each row is 2 less than twice the number of rows fin

d the number of rows in the number of trees per row
Mathematics
1 answer:
san4es73 [151]4 years ago
6 0
Let x be the number of rows and y be the number of trees per row.

x* y = 112
and y =  2x - 2
from first equation  y = 112/x
so  112/x = 2x - 2
112 = 2x^2 - 2x
2x^2 - 2x - 112 = 0
x^2 - x - 56 = 0
(x - 8)(x + 7) = 0
x = 8 , - 7   (ignore the negative)
so the number of rows = 8 
and number of trees per row = 112/8 = 14

Answer number of rows = 8 and number trees i each row = 14.



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The total number of students enrolled in MATH 123 this semester is 5,780. If it increases by 0.22% for the next semester, what w
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Given:

Total number of students enrolled in MATH 123 this semester is  = 5,780

It increases by 0.22% for the next semester.

To find:

The enrollment next semester.

Solution:

Let x be the number of enrollments for next semester.

According to the question, total number of students enrolled in MATH 123 this semester is increases by 0.22% for the next semester. So,

x=5780+0.22\%\text{ of }5780

x=5780+\dfrac{0.22}{100}\times 5780

x=5780+0.0022\times 5780

x=5780+12.716

x=5792.716

x\approx 5793

Therefore, total number of students enrolled in MATH 123 next  semester is 5,793.

7 0
3 years ago
A marketing organization claims that none of its employees are paid minimum wage. If a hypothesis test is performed that fails t
Ganezh [65]

Answer:

It should be concluded that the statistical evidence, contained in the sample taken, is not sufficient to state that none of the employees of the marketing organization receives the minimum wage, that is, that the proportion of employees receiving minimum wage is greater than zero.

Step-by-step explanation:

6 0
4 years ago
Singh works at a restaurant where he is paid by the hour plus time-and-a-half for his hours over 40. Last week he worked 3 hours
Stolb23 [73]

Answer:

The hourly wage is $8.55 per hour

Step-by-step explanation:

Step 1: Determine the expression for the gross pay

Total gross pay=(Unit rate per hour×number of hours(≤40))+(Overtime rate×number of overtime hours)

where;

Total gross pay=$380.48

Unit rate per hour=x

Number of hours=40 hours

Overtime rate=x×(1 1/2)=1.5 x

Number of overtime hours=3 hours

Step 2: Replace to solve for hourly wage

380.48=(x×40)+(1.5 x)×3

40 x+4.5 x=380.48

44.5 x=380.48

x=380.48/44.5

x=8.55

The hourly wage is $8.55 per hour

5 0
3 years ago
What is the maximum number of relative extrema contained in the graph of this function?
Savatey [412]

Answer:

  the graph of this function has no local extrema

Step-by-step explanation:

A 5th-degree polynomial graph will have a maximum of 4 local extrema, in general. However, this function has none. The derivative of this function is positive everywhere, so there are no extrema.

6 0
3 years ago
Read 2 more answers
If there are a total of 25 questions, and I scored 56% on my test, how many answers did I get right, and how many answers did I
Ipatiy [6.2K]

Answer:

14 correct and 11 wrong

Step-by-step explanation:

If you got a 56% , we need to change this to decimal form 56% = .56

This is the percent you got right

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To determine the number of questions you got wrong, take the total number of questions minus the number you got right.

25-14 =11

You got 11 wrong

8 0
3 years ago
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