1) C. <u>19.4
</u>1/3(3)^3 + 5.2(2)
1/3(27) + 10.4
9 + 10.4
= 19.4
2) C. <u>6
</u>9 - (1/2)^4 * 48
9 - 0.0625 * 48
9 - 3
= 6
3) A. <u>2 times y divided by 7</u>
4) C. <u>5p - 4</u>
5) C. <u>Step 2; 4(2) + 4(4x)
</u>Hope this helps!<u>
</u>
You can reword the two equations as:
-5x-y=15 (Divide original value by 3)
-2x+6y=6
Then use elimination to find x:
-30x-6y=90 (Multiply by 6 to get y values to be same to cancel out)
-2x+6y=6
You're left with:
-32x=96. Which can then be solved to find x which is -3.
Then plug back in
-2x+6y=6
Now to: -2(-3)+6y=6.
Which reduces to 6+6y=6. So y=0.
To graph them, just reword the equations (yes once again) so that y is in front.
y=-5x-15 and y=(1/3)x+1
Answer:
it'll be a graph like this. the blue line is y<-x+2 and you would shade everything below this line because it's less than. the green is y>x-3 so you would shade everything above this line because it is greater than.
A+c=100
3a+2c=275, from the first c=100-a making the 2nd equation become:
3a+2(100-a)=275 perform indicated multiplication on left side
3a+200-2a=275 combine like terms on left side
a+200=275, subtract 200 from both sides
a=75, and since c=100-a
c=100=75=25
So the answer is D. 25 children and 75 adults
Equation 1: a+c=100
Equation 2: 3a+2c=275
