Answer:
The difference between the area of Texas and Rhode Island in square miles and scientific notation = (2.68 × 10⁵) square miles.
Step-by-step explanation:
Area of Texas = (2.69 × 10⁵) square miles = 269000 square miles
Area of Rhode Island = (1.21 × 10³) square miles = 1210 square miles
Difference between the Area of the Texas and Rhode Island = 269000 - 1210 = 267,790 square miles = (2.68 × 10⁵) square miles.
The difference between the area of Texas and Rhode Island in square miles and scientific notation = (2.68 × 10⁵) square miles.
Hope this Helps!!!
If the backpack (b) contains only textbooks (t) and notebooks (n), the total weight of the backpack is:
b+t+n
but notebooks are 4 pounds, so actually:
b+t+4
also, the backpack weights 2 pounds, so the total weight is:
2+t+4 =t+6
now, "Seventy percent of
<span>
the total weight is textbooks. ", this means that
t=70%(t+6) - this equation can be used to determine the weight of the textbooks!
</span>
Answer: The required system of equations are
y = 30x
13x + y = 258
Step-by-step explanation:
Let x represent the number of hours
that the driver worked.
Let y represent the number of miles that the truck drove.
For every truck that goes out, Mason must pay the driver $13 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance. If on a particular day, his total expenses for the driver, gas and truck maintenance were $258, it means that
13x + y = 258
On that particular day, the driver drove an average of 30 miles per hour.
Speed = distance/time
It means that
y/x = 30
y = 30x
Let x represent the amount of money he invested at 11% and y money he invested at 12%. Now we write system of equations:
x*1.11 + y*1.12 = 70 000 + 7900
x + y = 70 000
We will multiply second equation with 1.11
x*1.11 + y*1.11 = 77700
and subtract if from first:
0.01*y = 200
y = 20000
x = 70000 - 20000 = 50000
