Jonathan’s class has 30 boys. Of the students in his class, 60% are girls. How many girls are in Jonathan’s class?
Answers
Answer 1
Answer:
Having that 30 boys is 40% of students.30 is 40% of students the how many students is 100%. Naming X number total of students.X=(30*100)/40=75. Then having that there are 30 boys, numbers of girls is 75-30=45.
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The mean of a population being sampled is 64, and the standard deviation is 6. If the sample size is 50, the standard error of the mean is
Jimmy works at a diner she earn six dollars each hour plus tips in one week she worked 37 hours a week and earned it $43 in tips how much did she make all together? What is the answer
How do I divide this:Volume, 45cm3. Height, 3cm. Width, 3cm How long is the Box? Please help :(
1) Which line has a negative slope?2) Which line has a slope of zero3) Which line has a y- intercept at (0, -2) ?4) Which line has a slope of 1/25) Which line is the graph of the equation y = 3x 6) Which line is the graph of the equation y = x + 3?
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Jimmy works at a diner she earn six dollars each hour plus tips in one week she worked 37 hours a week and earned it $43 in tips how much did she make all together? What is the answer
4x - y = 18
Answers
The two equations given are
3x + y = 17 and 4x - y = 18
Now we will first take one equation
3x + y = 17
Then
y = 17 - 3x
Now replacing the value of y in the second equation we get
4x - y = 18
4x - (17 - 3x) = 18
4x + 3x - 17 = 18
7x = 35
x = 35/7
= 5
Putting the value of x in the first equation we get
3x + y = 17
(3 * 5) + y = 17
15 + y = 17
y = 17 - 15
y = 2
So the value of x is 5 and y is 2
3x + y = 17 and 4x - y = 18
Now we will first take one equation
3x + y = 17
Then
y = 17 - 3x
Now replacing the value of y in the second equation we get
4x - y = 18
4x - (17 - 3x) = 18
4x + 3x - 17 = 18
7x = 35
x = 35/7
= 5
Putting the value of x in the first equation we get
3x + y = 17
(3 * 5) + y = 17
15 + y = 17
y = 17 - 15
y = 2
So the value of x is 5 and y is 2
3x+y=17
subtract 3x on both sides
y=17-3x
substitute 17-3x for y in the second equation
4x-(17-3x)=18
7x-17=18
7x=35
x=5
and now that you know x=5 you can plug that in to either of the original equations
3(5)+y=17
15+y=17
subtract 15 from both sides
y=2
subtract 3x on both sides
y=17-3x
substitute 17-3x for y in the second equation
4x-(17-3x)=18
7x-17=18
7x=35
x=5
and now that you know x=5 you can plug that in to either of the original equations
3(5)+y=17
15+y=17
subtract 15 from both sides
y=2
Answers
Answer:
A production level that will minimize the average cost of making x items is x=5.
Step-by-step explanation:
Given that
is the cost of manufacturing x items
To find a production level that will minimize the average cost of making x items:
The average cost per item is
Now we get
f(x) is continuously differentiable for all x
Here x≥0 since it represents the number of items.,
Put x=0 in
For x=0 the average cost becomes 13000
∴ f(0)=13000
To find Local extrema :
Differentiating f(x) with respect to x
∴ x=5 gives the minimum average cost .
At x=5 the average cost is
∴ f(5)=12825 which is smaller than for x=0 is 13000
∴ f(x) is decreasing between 0 and 5 and it is increasing after 5.
Answer:
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Step-by-step explanation:
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b. x2 - 4x - 2
c. 3x2 - 4x - 2
d. x2 + 2x - 10