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katovenus [111]
3 years ago
7

In a classroom, there are 3 more girls than boys and the ratio of girls to boys is 6 to 5.

Mathematics
1 answer:
IrinaVladis [17]3 years ago
5 0

Answer:

33 students

Step-by-step explanation:

ratio = 6 : 5

if there are 3 more girl that boy

ratio 1 equal 3.

total ratio

6 + 5 = 11

total number of students

11 × 3 = 33

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enot [183]
Option A: 156 + 179 + 25 + 25 = $385
Option B: 334 + 15 + 15 = $364

Option B is cheaper. 10% of $364 is $36.40. That is what you would save with the third option.
7 0
3 years ago
If the sum of 4040 consecutive integer numbers is 2020, find out the absolute difference between the first number and the last n
bearhunter [10]

Let x be the smallest of the consecutive integers summing to 2020. Then the largest integer in the sum is x+4039, so our answer is \boxed{4039}.

For completeness, though, let's solve for the value of x that satisfies the conditions of the problem. Recall that the sum of an arithmetic series with first term a_1, last term a_n, and n terms, is \frac{n(a_1+a_n)}{2}. Plugging in our known values gives us the equation \frac{4040(2x+4039)}{2}=2020, which simplifies to 2x+4039=1. Thus, x=-2019, so the 4040 consecutive integers are -2019,-2018,\dots,-1,0,1,\dots,2018,2019,2020. Notice how everything except the 2020 cancels out!

4 0
3 years ago
The equation for the cost in dollars of producing computer chips is y =.000015x^2-.03x+35. Where x is the number of chips produc
Anna35 [415]
In order to find the number of chips that would result in the minimum cost, we take the first derivative of the given equation. Note that the derivative refers to the slope of the graph at a given point. We can utilize this concept knowing that at the minimum or maximum point of a graph, the slope is zero. 

Taking the derivative of the given equation and equating it to zero, we have:

y' = (0.000015)(2)x - (0.03)x° + 0
0 = (0.00003)x - 0.03

Solving for x or the number of chips produced, we have x = 1000. We then substitute this value in the given equation, such that,

y = (0.000015)(1000)² - (0.03)(1000) + 35

The minimized cost, y, to produce 1000 chips is then calculated to be $20. 
6 0
3 years ago
Decide whether each relation defines y as a function of x. Give the domain and range.
lisov135 [29]
Y=x².

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7 0
3 years ago
Here are two datasets:
fiasKO [112]

Answer:

Option a) Mean

Mean is affected a lot by the change in the last observation as the median remains the same.

Step-by-step explanation:

we are given the following in the question:

Data set A: 64, 65, 66, 68, 70, 71, 72

Data set B: 64, 65, 66, 68, 70, 71, 720

For data set A, the mean and median are 68.

For data set B:

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1124}{7} = 160.57

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

Sorted data:

64, 65, 66, 68, 70, 71, 720

\text{Median} = \dfrac{7+1}{2}^{th} \text{ term} = 4^th\text{ term} = 68

Clearly, 720 is the is a outlier.

As seen mean is affected a lot by the change in the last observation as the median remains the same.

5 0
3 years ago
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