Step-by-step explanation:
The instructor had saved $3,500 and rents an apartment for $275 monthly. The slope-intercept form of the above scenario is :
y=-275x+3500
The instructor belives that the point (6, 1850) would be on the equation of the line. Put y = 1850 and x = 6 in the above equation. So,
1850=-275(6)+3500
1850=1850
LHS=RHS
It means that the point (6,1850) lies on the line. Hence, he was correct.
Answer:
Part a) 2.36 quarts
Part b) 47.2%
Step-by-step explanation:
Let
x ---> percentage of the resulting mixture that is antifreeze
Remember that
![22\%=22/100=0.22](https://tex.z-dn.net/?f=22%5C%25%3D22%2F100%3D0.22)
![85\%=85/100=0.85](https://tex.z-dn.net/?f=85%5C%25%3D85%2F100%3D0.85)
we know that
3 quarts of a solution multiplied by 0.22 (percentage in decimal form) plus 2 quarts of a solution multiplied by 0.85 (percentage in decimal form), must be equal to 5 quarts of a solution multiplied by x (percentage of the resulting mixture)
so
The linear equation that represent this situation is
![3(0.22)+2(0.85)=(3+2)x](https://tex.z-dn.net/?f=3%280.22%29%2B2%280.85%29%3D%283%2B2%29x)
solve for x
![0.66+1.7=5x\\5x=2.36\\x=0.472](https://tex.z-dn.net/?f=0.66%2B1.7%3D5x%5C%5C5x%3D2.36%5C%5Cx%3D0.472)
Convert to percentage
![0.472*100=47.2\%](https://tex.z-dn.net/?f=0.472%2A100%3D47.2%5C%25)
therefore
The percentage of the resulting mixture that is antifreeze is 47.2%
To find out how many quarts of antifreeze are in the resulting mixture, multiply the total quarts of the resulting mixture by the percentage in decimal form
![5(0.472)=2.36\ quarts](https://tex.z-dn.net/?f=5%280.472%29%3D2.36%5C%20quarts)
Answer:
390, since the answer I got was 377, and we are estimating so that’s the best estimate.
Answer:
22000
Step-by-step explanation:
20000
+2000
22000