Answer:
Step-by-step explanation:
Isolate the variable of y from one side of the equation.
-14=5(3y-10)-5y
<u>First, switch sides.</u>
Use the distributive property.
<u>DISTRIBUTIVE PROPERTY:</u>
A(B-C)=AB-AC
5(3y-10)
Multiply by expand.
5*3y=15y
5*10=50
15y-50-5y
15y-5=10y
= 10y-50
10y-50=-15
Add by 50 from both sides.
10y-50+50=-15+50
Solve.
10y=35
Then, you divide by 10 from both sides.
10y/10=35/10
Solve.
Divide the numbers from left to right.
35/10=7/2
y=7/2
Divide is another option.
7/2=3.5
- <u>Therefore, the correct answer is y=7/2.</u>
I hope this helps. Let me know if you have any questions.
Answer:
Just Between Friends
The percentage of consignors who receive a check for more than $370 is:
= 16%.
Step-by-step explanation:
Mean of consignor check, μ = $480
Standard deviation, σ = $110
Value of check received, x > $370
Solution: find the z-score to determine the percentage of consignors who receive a check for more than $370:
z = (x-μ)/σ
z= ($370 - $480)/$110
z = -$110/$110
z = -1.00
Percentage of consignors who receive a check for more than $370
= 0.15866
= 0.16
= 16%
Answer:
5029
Step-by-step explanation:
There is a common difference between consecutive terms, that is
d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14
This indicates the sequence is arithmetic with sum to n term
= [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = - 215 and d = 14 , then
= [ (2 × - 215) + (46 × 14) ]
= 23.5 (- 430 + 644)
= 23.5 × 214
= 5029
It has a surface area to volume ratio of 1:1
