4 pencils . 4/9 of an hour = 4/9 of 60 minutes = 4/9 * 60 = 80/3 minutes
x pencils = ? . one hour = 60 minutes
14 * 60 = 80/3 * x /*3
14 * 60 * 3 = 80 * x
80 * x = 2520 /80
x = 2520 / 80
x = 31.5 pencils
The result would be 32 pencils in one hour.
Answer: C = 1.69
Step-by-step explanation:
E is proportional to √C
To remove proportionality, introduce a constant (k).
E = k × √C
From question,
E = 40 and C = 25
So,
40 = k ×√25
40 = k × 5
k = 8
Now,
C = ?
E = 10.4
k = 8
E = k × √C
10.4 = 8 × √C
10.4 / 8 = √C
( 10.4 / 8 ) ^ 2 = C
C = 1.69
Answer: 17500 meters
Step-by-step explanation: 7 times 2.5 is 17.5 and one meter is 0.001 kilometers so
17.5 in meters is 17500.
GCF is the greatest common factor of two or more numbers
To find it factorize the numbers and find their common factor, and choose the greatest one
Let us find the factors of 35
35 = 1 * 35
35 = 5 * 7
Then the factors of 35 are 1, 5, 7, 35
Let us find the factors of 25
25 = 1 * 25
25 = 5 * 5
Then the factors of 25 are 1, 5, 25
The common factors of 35 and 25 are 1, 5
The greatest is 5
So the GCF of 35 and 25 is 5
19x+12y=17
step 1: move the thing that you're looking for to the left side and all the rest to the right side:
(19x +12y)-19x = 17 -19x
12y = 17 -19x
step 2: to find y, you need to get rid of 12. to do so you need to devide everything by that number:
(12y)/12 = 17/12 -19/12 x
y= 17/12 -19/12 x
step 3: simplify of possible. ( in this exercise it isnt)
step 4: rearange the equation if necessary
y= 17/12 + -19/12x
y= -19/12x + 17/12