Answer:
x = 8.4
Step-by-step explanation:
The area of a rectangle is equal to the length times the width.
126 = 5x * 3x
126 = 15x
8.4 = x
Since the side length of the square is equal to x, it is equal to 8.4.
Answer:
see explanation
Step-by-step explanation:
Calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = ((- 2, - 3 ) and (x₂, y₂ ) = (x, 5x + 9 )
d = 
= 
= 
Answer:
Step-by-step explanation:
Given that Prof Liu gave the same quiz to the students in her morning class and in her afternoon class. the average score for the two classes combined was 84.
(1) The average score for the students in the morning class was 80
(2) the average score for the students in the afternoon class was 86
Let m be the no of students in I class and n in II class
Total of I class = 80m and
Total of II class = 86n
Total of both classes = 80m +86n
Average =
m cannot be equal to n because in that case average would have been 83
If m >n, then say n =m+a
then average = 
Because 86 is more times added, average score would decrease hence we would not get 84.
So I class is getting less score of 80 to get a score average of more than 83 (the average) the class II should have more students.
Let the price of a hot dog be h and price os a soda be s dollars. Then we have:-
4h + 3s = 6.55.......................(1)
2h + 5s = 4.85 multiply this equation by -2:-
-4h -10s = -9.70......................(2)
Adding (1) and (2):-
-7s = -3.15
s = -3.15 / -7 = 0.45
So $0.45 is the price of a soda
To find price of a hot doe plug s = 0.45 into equation (1):-
4h = 3(0.45) = 6.55
4h = 6.55-1.35 = 5.20
h = 5.20 / 4 = $1.30
The answer is price hot dog = $1.30
Answer:
It should take him <u>1.75 minutes</u> to complete 20 multiplication facts, which is the same thing as 1 minute and 45 seconds, or 105 seconds.
Step-by-step explanation:
a. If it takes him one minute to complete 20 multiplication facts, that's 3 seconds per question, because 60/20 = 3.
b. Multiply 3 x 35 questions to get 105 seconds.
c. Divide 105 seconds by 60 seconds (60 in a minute) to get 1.75 minutes, which is the same thing as 105 seconds.
Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day and good luck on your assignment. :)