Answer:
In the classroom there are 16 girls and 20 boys
Step-by-step explanation:
The question in English is
In the ninth grade, 62.5% of girls and 80% of boys passed the mathematics course, while 87.5% of girls and 60% of boys passed the history course. Calculate the number of students in the classroom, if the total number of passes is 26 in both subjects
Let
x ----> total girls in the classroom
y ---> total boys in the classroom
we know that
mathematics course
-----> equation A
history course
----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (16,20)
see the attached figure
therefore
In the classroom there are 16 girls and 20 boys
Answer:
or
Step-by-step explanation:
You need to complete the square before you can take the square root of both sides.
Subtract 10 from both sides.
To complete the square, you need to add the square of half of the x-term coefficient to both sides.
The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.
Now we use the square root property, if
, then
or
or
or
Answer:
Jade is faster than Ella by 2 minutes and 55 seconds.
Step-by-step explanation:
We are told that Ella and Jade both ran a marathon. Ella finished marathon in 4 hours 6 mins and 13 seconds. Jade finished marathon in 4 hours and 3 mins and 18 seconds.
We can write 4 hour 6 minutes 13 seconds as 4 hour 5 minutes 73 seconds. 1 minute has been borrowed to the seconds side, and seconds become 13+60 = 73 seconds.
We can see that Ella took more time than Jade. Let us find how much more time Ella took than Jade by subtracting time taken by Jade from time taken by Ella.
We can see that Jade took 2 minute and 55 seconds less than Ella , therefore, Jade was faster than Ella by 2 minutes 55 seconds.