Answer:
1. (3/2)
2. (20)
3. (3)
4. (-9/5)
5. (-8/7)
6. (-2/3), (4)
Step-by-step explanation:
1. 2. 3. 4.
x 3 12 3 x 1 x + 3 3
/ = / / = / / = / / = /
4 8 x 5 9 x 2 5
8x = 12 60 = 3x x² = 9 5x + 15 = 6
÷8 ÷8 ÷3 ÷3 x = √9 -15 -15
5x = -9
x = (3/2) x = 20 x = 3 ÷5 ÷5
x = (-9/5)
5. 6.
4 - x 3 1 x - 3
/ = / / = /
12 7 2x + 1 9
28 - 7x = 36 9 = 2x^2 - 5x - 3
-28 -28 + 3 + 3
12 = 2x^2 - 5x
-7x = 8 -12 -12
÷-7 ÷-7
2x^2 - 5x - 12 = 0
x = (-8/7)
-b +-√b^2 - 4ac
/ = -(-5)√-5^2 - 4 (2)(-12)
2a /
2(2)
= 5-+√121 5 - 11 -6
/ = / = / = (-2/3)
-4 4 4
= 5 + 11 16
/ = / = (4)
4 4
I hope this helps!
Answer:
Man wf
Step-by-step explanation:
Out of every 11 students 7 were girls. Set up the following proportion.
11/7 = 77/x Cross multiply
11x = 7*77
x = 7*77/11
x = 49
49 of the student council members were girls.
Answer: w ≤ 14 cm , L ≤ 42 cm
<u>Step-by-step explanation:</u>
width (w): w
Length(L): 3w
Perimeter (P) = 2w + 2L
P ≤ 112
2w + 2L ≤ 112
2(w) + 2(3w) ≤ 112
2w + 6w ≤ 112
8w ≤ 112
w ≤ 14
Answer:
It takes 5 days to process an application.
Step-by-step explanation:
We have that number of requests per month would be equal 1600
Now, the applications in hand would be:
160 + 240 = 400
They tell us that everything must be in a number of 20 business days, therefore, the number of applications in one day would be:
1600/20 = 80
Which means that the time needed to finish an application is:
400/80 = 5 days
It takes 5 days to process an application.
