Answer:
2x + 9 with a remainder of 45.
Step-by-step explanation:
If the divisor is x-5, use the divisor 5 in synthetic div.
Taking the coefficients 2, -1 and 4 from the dividend, we get:
------------------
5 / 2 -1 4
10 45
--------------------
2 9 49
This tells us that the quotient is 2x + 9 and that the remainder is 49.
In the x quarts of 2% fat milk, there is 0.02x quarts of fat.
in the y quarts of 4% fat milk there is 0.04y quarts of fat.
together, there is (x+y) quarts of milk, and 0.24 quarts of fat.
the equations are:
x+y=9
0.02x+0.04y=0.24
multiply the first equation with 0.02: 0.02x+0.02y=0.18
subtract this new equation from equaition 2 to eliminate x:
0.04y-0.02y=0.24-0.18
0.02y=0.06
y=3
x=9-3=6
x is twice as much as y.
He used twice as much as the 2% fat milk than the 4% fat milk.
so the first choice is the correct answer.
The unit rate of gas usage is 35 miles per gallon.
Step-by-step explanation:
"Unit rate" refers to the number of miles for 1 gallon.
<u>From the graph given</u>,
it can be determined that, the car goes 2 miles for 70 gallons and 3 miles for 105 gallons.
To find miles per gallon, <u>use rate formula</u>
Rate= <em>Given miles/ Given gallons</em>= 2/70
Unit Rate= <em>miles/ 1 gallon</em>= X/1
where "X" term refers to number of miles per gallon.
By Comparing the rates we get,
2/70 =X/1
<u>X=35 miles per gallon</u>
Similarly,
3/105 =X/1
<u>X=35 miles per gallon</u>
Really ? ?
Price per inch has the units of "price/inch". See that ? It comes from dividing 'price' by 'inches'.
Price = $7.56
Inches = don't know;
... but we know it's 7 feet, and every foot has 12 inches in it
... so there are (7 x 12) = 84 inches of ribbon.
Price per inch = ($7.56) / (84 inches)
Prince per inch = (7.56/84) (dollars/inch)
Now, YOU go ahead and do the division to get the final answer.
We know Distance formula is Distance = speed * time
Let, the distance Omar traveled = d and speed is 10 miles per hour
Time taken t for the first trip 
Let, the distance Omar traveled = d and speed is 30 miles per hour
Time taken t for the return trip 
Total time taken = 
Now, 
Total distance = d+d= 2d
Average speed = 
= 
His average speed for the entire trip from home to the gift store and back is
15 miles per hour
