Answer:
The answer is 3 days
Step-by-step explanation:
Divide 48/16=3
7m+2=7n−5
Swap sides so that all variable terms are on the left hand side.
7n−5=7m+2
Add 5 to both sides.
7n=7m+2+5
Add 2 and 5 to get 7.
7n=7m+7
Divide both sides by 7.
7
7n
=
7
7m+7
Dividing by 7 undoes the multiplication by 7.
n=
7
7m+7
Divide 7+7m by 7.
n=m+1
Answer:
C. $97
Step-by-step explanation:
The average of his wage for all 15 days is the sum of all wages for the 15 days divided by 15.
average wage for 15 days = (sum of wages for the 15 days)/15
The amount of wages during a number of days is the product of the average wage of those days and the number of days.
First 7 days:
average wage: $87
number of days: 7
total wages in first 7 days = 7 * $87/day = $609
Last 7 days:
average wage: $92
number of days: 7
total wages in last 7 days = 7 * $92/day = $644
8th day:
wages of the 8th day is unknown, so we let x = wages of the 8th day
total wages of 15 days = (wages of first 7 days) + (wages of 8th day) + (wages of last 7 days)
total wages of 15 days = 609 + x + 644 = x + 1253
average wage for 15 days = (sum of wages for the 15 days)/15
average wage for 15 days = (x + 1253)/15
We are told the average for the 15 days is $90/day.
(x + 1253)/15 = 90
Multiply both sides by 15.
x + 1253 = 1350
Subtract 1253 from both sides.
x = 97
Answer: $97
<span>PQR is a triangle
QR = x </span>⇒ x>0
If x>0 then:
QR is the smallest side
PQ is the largest side
<span>In the triangle, the largest angle lies opposite the largest side.
</span>The angles of Δ<span>PQR in order from largest to smallest:
</span>∠R is largest [opposite to PQ]
∠Q is middle [opposite to RP]
∠P is smallest [opposite to QR]
