First solve the second equation to equal x.
x + y = 550
Subtract y from both sides.
x = 550 - y
Put this into the first equation in place of x.
3.75 (550 - y) + 4y = 2160
Multiply everything in the parenthesis by 3.75
2062.5 - 3.75y + 4y = 2160
Combine like terms.
2062.5 + 0.25y = 2160
Subtract 2062.5 from both sides.
0.25y = 97.5
Divide 0.25 on both sides.
y = 390
Put this into the second equation in place of y.
x + 390 = 550
Subtract 390 from both sides.
x = 160
So x = 160 and y = 390
Hope this helps!
Answer:
Step-by-step explanation:
Answer: A.) 2 <= X <= 6
B.) 13 < = X < = 39
Step-by-step explanation:
Given that a factory can work its employees no more than 6 days a week, that is, less than or equal to 6 days a week
And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.
Let X represent the number of days an employee can work per week.
According to the first statement,
X < = 6
According to the second statement,
X >= 2
An inequality to represent the range of days an employee can work will be
2 < = X <= 6
To represent the range in hours, first convert the number of days to hour. Given that an employee can work
1 day = 6.5 hours
2 days = 2 × 6.5 = 13 hours
5 days = 6 × 6.5 = 39 hours
Therefore, the range will be
13 < = X < = 39
Answer:
<h2>x = 40.375</h2>
Step-by-step explanation:
ΔYVH and ΔYBA are similar. Therefore the corresponding sides are in proportion:
We have
Substitute:
<em>cross multiply</em>
<em>divdie both sides by 16</em>
