Answer:
• Gayle: 14
• Crystal: 3
Step-by-step explanation:
Let g represent the number of paperclips Gayle has. Then 42/g is the number Crystal has. The relationship between the two numbers is said to be ...
g - (42/g) = 11
Multiplying by g gives ...
g^2 -42 = 11g
g^2 -11g -42 = 0 . . . . subtract 11 g to put into standard form
To factor this, you are looking for two factors of -42 that sum to -11.
-42 = -42·1 = -21·2 = -14·3 = -7·6
You can see that -14 and 3 sum to -11, so the factoring is ...
(g -14)(g +3) = 0
g = 14 . . . . . . . . . . makes the product zero. (The g=-3 solution is extraneous.)
Gayle has 14 paperclips and Crystal has 3.
Answer:
14a⁴b
Step-by-step explanation:
Factors of 28a⁴b⁸c7:
2²×7×a⁴×b⁸×c⁷
Factors of 98a⁵b:
2×7²×a⁵×b
For GCF collect the common factors:
2×7×a⁴×b
GCF = 14a⁴b
Option one for the first question would be best because it is 2500 greater. Option 1 is 80000 while option 2 is only 77500.
1. We assume, that the number 9.375 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 9.375 is 100%, so we can write it down as 9.375=100%.
4. We know, that x is 7.25% of the output value, so we can write it down as x=7.25%.
5. Now we have two simple equations:
1) 9.375=100%
2) x=7.25%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
9.375/x=100%/7.25%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 7.25% of 9.375
9.375/x=100/7.25
(9.375/x)*x=(100/7.25)*x - we multiply both sides of the equation by x
9.375=13.793103448276*x - we divide both sides of the equation by (13.793103448276) to get x
9.375/13.793103448276=x
0.6796875=x
x=0.6796875
now we have:
7.25% of 9.375=0.6796875
