<span>2a(5-b)=3b+7
<em>[open bracket]</em>
10a - 2ab = 3b + 7
<em>[solve for b, so we need to move all terms with b to the left]</em>
<em>[-3b on both sides]</em>
10a - 2ab - 3b = 3b + 7 - 3b
10a - 2ab - 3b = 7
<em>[move all those without b to the right]</em>
<em>[-10a on both side]</em>
10a - 2ab- 3b - 10a = 7 - 10a
-2ab - 3b = 7 - 10a
<em>[divide by -1 through to change b to be positive]</em>
2ab + 3b = 10a - 7
<em>[take b out as the common factor]</em>
</span>b(2a + 3) = 10a - 7<span>
<em>[divide by (2a+3) through]</em>
b = (10a -7)/(2a+3)
</span>
Answer:
Process of elimination
Step-by-step explanation:
If Olive wants to choose a friend while not playing favorites, while also not being random, she has to eliminate the ones she knows she will NOT take on the trip. She can choose this by selecting the one she knows that will be best on the trip with her, depending on the situation.
Or, if Olive only has one friend, then it wouldn't be surprising that she would take that one friend on the trip, since she has no one else to choose. This way, it is not playing favorites, nor is it random. Hope this helps you!
Answer:
C. 3,960
Step-by-step explanation:
∆ADB ~ ∆EDC. Therefore,

(substitution)
Solve for x
Cross multiply
5x - 3x = 7,920
2x = 7,920
x = 7,920/2
x = 3,960 meters
Answer:
A. 35
Step-by-step explanation:
Each week has 7 days, and we have 5 weeks.
Week 1 has 7 days.
Week 2 has 7 days.
Week 3 has 7 days.
Week 4 has 7 days.
Week 5 has 7 days.
We can add all these together to get the total number of days: 7 + 7 + 7 + 7 + 7 = 7 * 5 = 35.
Thus, the answer is A.
Hope this helps!
Answer: on point -10
Step-by-step explanation:
Because 2*-5 is -10.