Answer:
Karl works 7 hours a week
Step-by-step explanation:
Step 1: Determine total amount that Sally earns
Total amount Sally earns=rate per hour×number of hours worked(h)
where;
Rate per hour=$7 per hour
Number of hours worked=h
Replacing;
Total amount Sally earns=(7×h)=7 h
Step 2: Determine total amount Karl earns
Total amount Karl earns=rate per hour×number of hours worked
where;
rate per hour=$5
number of hours worked=2 more than Sally=h+2
replacing;
Total amount Karl earns=5(h+2)
Step 3: Equate Sally's total earnings to Karl's total earnings and solve for h
7 h=5(h+2)
7 h=5 h+10
7 h-5 h=10
2 h=10
h=10/2
h=5
Karl works (h+2) hours=(5+2)= 7 hours
Karl works 7 hours a week
Answer:
y=3x-2
Step-by-step explanation:
The ordered pairs (0, -2), (1, 1), (2, 4), (3, 7) and (4, 10) represent a linear function, because 1-(-2)=4-1=7-4=10-7=3.
The equation for the unknown linear function is y=ax+b.
Then
1. -2=a·0+b, b=-2;
2. 1=a·1+b, a=1-b=1-(-2)=3.
Therefore, the equation is y=3x-2.
Answer :
The value of x is 10.
Explanation :
Given that,
TM = (2x+8) m
ML = (3x-2) m
If a man (M) is standing halfway between a tree (T) and a lamppost (L).
The half distance is TM and half distance is TL.
So, Both half distance will be equal.
We need to calculate the value of x
Using given data
Put the value into the formula
Hence, The value of x is 10.
Option B would be the answer