Answer:
36 boys
Step-by-step explanation:
3
Please write the ratio as 3:5 or as --------
5
Note that 3 + 5 = 8, so that the fraction of boys in the club is 3/8 and that of girls is 5/8.
How many are in the club altogether? Let this count be represented by c. Then (5/8)c = 60.
Multiplying both sides of this equation by (8/5), to isolate c, we get:
c = (8/5)(60) = 96. Thus, there are 96 Science students altogether.
3/8 of this number are boys. This comes out to (3/8)(96) = 36 boys.
We could also solve this problem in the following manner:
3 b
------ = ------- , where b represents the number of boys.
5 60
Then 5b = 180. Dividing both sides by 5, we get b = 180/5 = 36 boys
The linear equation in standard form is:
6x - 7y = -11
Which is the last option.
<h3>
How to get the equation of the line?</h3>
The line in slope-intercept form is written as:
y = a*x + b
We can see that the line passes through the points (-3, -1) and (1/2, 2), then the slope is:
Then we can write:
y = (6/7)*x + b
To find the value of b, we use the first point. It means that when x = -3, the value of y is -1, then we get:
-1 = (6/7)*-3 + b
-1 + 18/7 = b
-7/7 + 18/7 = b
11/7 = b
Then the equation is:
y = (6/7)*x + 11/7
If we multiply both sides by 7 we get:
7y = 6x + 11
Now we move the term with "x" to the left:
7y - 6x = 11
That is the line in standard form.
If we multiply both sides by -1, we get the last option:
6x - 7y = -11
If you want to learn more about linear equations:
brainly.com/question/1884491
#SPJ1
Answer:
Obtuse triangle.
Step-by-step explanation:
Side a = 5
Side b = 2
Side c = 4
Angle ∠A = 108.21° = 108°12'36" = 1.88862 rad
Angle ∠B = 22.332° = 22°19'54" = 0.38976 rad
Angle ∠C = 49.458° = 49°27'30" = 0.86321 rad
Since one angle is above 90 degrees, the triangle is obtuse triangle.
This cannot be an acute triangle.
Answer:
4
Step-by-step explanation:
you're just going to plug in 15 where f is so its asking 15-11 which would be four
440(100-p)/100=154
440(100-p)=15400
44000-440p=15400
-440p=-28600
p=65%
So the price was discounted 65% off the original price.
