Here's my step-by-step explanation:
Whenever you see the phrase "a number" in a problem like this, then they want you to use a variable. Let's use <em>n</em> for number and translate from English to Algebraic.
- The product of 2 more than a number and 10 is 36 more than 8 times the number.
- The product of 2 more than <em>n</em> and 10 is 36 more than 8 times <em>n.</em>
<em>- </em>The product of 2 + <em>n</em> and 10 is 36 + 8<em>n.</em>
<em>- </em>(2 + <em>n</em>)(10) is 36 + 8<em>n.</em>
<em>- </em>(2 + <em>n</em>)(10) = 36 + 8<em>n</em>
Let's solve.
(2 + <em>n</em>)(10) = 36 + 8<em>n</em>
20 + 10<em>n</em> = 36 + 8<em>n</em>
10<em>n</em> - 8<em>n</em> = 36 - 20
2<em>n</em> = 16
<em>n</em> = 8
Hope this helps, let me know if I made a mistake or if you have any questions!
Solutions
There are two equations in the system of equations in this problem.
Let x = lemonade and y = hot dogs
Equation # 1
x + y = 86
This says that t<span>he vendor sold 86 items.
</span>Equation # 2
2x + 5y = 330
= $2 for each lemonade
= $5 for each hot dog.
= total amount earned is $330.
Only these two equations are true and needed.
Answer:
B
Step-by-step explanation:
To determine if x = 6 is a solution, substitute x = 6 into the left side of the equation and if equal to the right side then it is a solution.
2(6) - 5 = 12 - 5 = 7 ≠ 1
Then x = 6 is not a solution of the equation since a false statement results after replacing x with 6 (B)
Answer: Undefined slope
Step-by-step explanation: Undefined slope is the a vertical line The x-coordinate never changes no matter what the y-coordinate which means there no run .
Answer:
y= 5.333
Step-by-step explanation:
