4: A school has 314 boys & 310 girls. If they are to be grouped into equal classes of 26 each , how many classes will there be?
314 boys + 310 girls = 624
If they are grouped into classes of 26 students each, how many class will there be?
130 students = 5 classes
Therefore
260 students = 10 classes
260 x 2 = 520 = 20 classes
26 x 24 = 624
Number of classes = 24
Question 5).
Jim worked 48 weeks last year. Each week he worked 38 hours. If he worked an additional 240 hours of overtime, how many hours did he work in all?
Solution:
48 weeks
24hrs × 7 = 168hrs
168 x 48 = 8,064
Additional 240hrs
= 168hrs = 7 days (a week)
240hrs - 168 = 72 (3days)
168 + 72
= 240hrs + 8, 064
= 8, 304 hrs
Answer: OPTION A
Step-by-step explanation:
The equation of the line in slope-intercept form is:
Where m is the slope and b the y-intercept.
Solve for y from each equation:
As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.
Answer:
W
Step-by-step explanation:
On the venn diagram, you can see that everything in the W section is a multiple of 7. Everything in the Z section is an even number and everything in Y(the middle section) is both an even number and a multiple of 7. Since 49 is a multiple of 7 but not an even number, it would go in the W section.
The amount of work done by Kalon in an hour is equal to 1/4. This is based on his time to finish the job. Letting x be the number of hours Marna can finish the job alone will let her finish 1/x of the job in an hour. If their rates are added together and multiplied by the number of hours they worked together, the product should be one whole job.
(1/4 + 1/x)(1 5/7) = 1
The value of x is 3. Therefore, it will take 3 hours for Marna to clean the chimney alone.
