Answer:
x = 3.36
Step-by-step explanation:
, if we have a fraction = fraction then we can cross multiply to have a multiplication problem
x · 1 = 8 · 0.42, multiply
x = 3.36
It's best to write the two equations as a vertical column:
8x+14y=4
-6x-7y = -10
Note that if we multiply the 2nd equation by 2, we get -12x - 14y = -20. The reason for wanting this version of the 2nd equation is that its -14y cancels the +14y in the first equation:
-12x - 14y = -20
8x+14y=4
Combine these equations, column by column. We get -4x = -16, which results in x = 4. Now find y by subbing 4 for x in either given equation. If we use the first equation, we get 8(4) + 14y = 4, or 32 + 14y = 4, or 14y = -28. Then y = -2.
The solution to this system of linear equations is thus (4,-2).
Check this result by substitution of these coordinates into -6(4) - 7y = -20:
-24 - 7(-2) = -10. Is this true or not?
-24 + 14 = -10 is true. Thus, (4,-2) is the desired solution.
Answer:
the range of a function
Step-by-step explanation:
Answer: attending the game
Step-by-step explanation:
Given: 12 out of the first 48 people who entered the stands were wearing a coat.
That means, Proportion of people wearing coat = 
(People wearing coat divided by Total people)
Total people in the sample attending the game= 200
Number of people wearing a coat = 
Hence, 50 people are wearing a coat.
First account: $6500
Second account: $8500
Set x is amount of money in first account
=> x + 2000 is money in second account.
X*3% + (x+2000)*4% = 535
=> x = (53500 - 8000) / 7
X = 45500 / 7 = 6500
=> account #1 = x = 6500
Acc #2 = x + 2000 = 6500 + 2000 = 8500
