Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = 
= 
=
Answer:
m=-2
Step-by-step explanation:
8-(m-3)=7-3m
8-1(m)-1(-3)=7-3m
8-m+3=7-3m
-m+3m+8+3=7-3m+3m
2m+8+3=7
2m+11=7
2m=-4
m=-2
Hope this helps!
Answer:
I think the answer is 13 im not positive but i think it's 13
Step-by-step explanation:
i hope this helps you :)
Et x = the volume of the 3.5% solution
<span>Let y = the volume 6% solution </span>
<span>(3.5%)x + (6%)y = (4.5%)(200) </span>
<span>0.035)x + 0.06y = 0.045(200) </span>
<span>0.035x + 0.06y = 9 ( Equation 1 )</span>
<span>x + y = 200 ( Equation 2 )</span>
<span>x = 200 - y </span>
<span>Substitute x = 200 - y into equation 1: </span>
<span>0.035x + 0.06y = 9 </span>
<span>0.035(200 - y) + 0.06y = 9 </span>
<span>7 - 0.035y + 0.06y = 9 </span>
<span>0.06y - 0.035y = 9 - 7 </span>
<span>0.025y = 2 </span>
<span>y = 2/(0.025) </span>
<span>y = 80 mL (the volume of 6% solution.)</span>
<span>Substitute y = 80 into equation 2: </span>
<span>x + y = 200 </span>
<span>x + 80 = 200 </span>
<span>x = 200 - 80 </span>
<span>x = 120 mL (the volume of the 3.5% solution.)</span>
<span>Therefore, Mr. Larson should combine 120 mL of the 3.5% solution </span>
<span>and 80 mL of the 6% solution to make 200 mL of 4.5% solution. </span>
<span>Answer is 120 mL of the 3.5% solution & 80 mL of the 6% solution
Hope I helped :)</span>
Answer:Final result :
5c + 3
Step-by-step explanation:Step by step solution :
Step 1 :
10c + 6
Simplify ———————
2
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
10c + 6 = 2 • (5c + 3)
Final result :
5c + 3
