1. Solve the proportion: z z+9
---- = ----
3 12
A. 4
b. 3
c. 2
d. 1
my answer is c ?
2. Solve the proportion: 16 = 8
--- ---
4d+2 3
A. 1^ 11
---
12
b. 1^ 1
--
3
c. 1
d. 2
My answer is D ?
3. A solution contains 2.2 liters of water. Convert this measurement to milliliters.
A. 2200 mL
B. 220 mL
C. .002 mL
D. .0022 mL
My answer is A ?
4. Brandon can drive his car 30 miles on one gallon of gasoline. How many gallons does he need for a 165-mile trip ?
A. 6 gal
B. 135 gal
C. 5.5 gal
D. 8 gal
My answer is C ?
1. To solve the proportion:
z z+9
---- = ----
3 12
First, cross-multiply:
12z = 3(z+9)
Next, distribute the 3 on the right side:
12z = 3z + 27
Now, subtract 3z from both sides:
12z - 3z = 27
Simplify:
9z = 27
Finally, divide both sides by 9 to solve for z:
z = 27/9 = 3
Therefore, the answer is b. 3.
2. To solve the proportion:
16 = 8
--- ---
4d+2 3
First, cross-multiply:
16(3) = 8(4d+2)
Next, distribute the 8 on the right side:
48 = 32d + 16
Now, subtract 16 from both sides:
48 - 16 = 32d
Simplify:
32 = 32d
Finally, divide both sides by 32 to solve for d:
d = 32/32 = 1
Therefore, the answer is c. 1.
3. To convert 2.2 liters to milliliters, you'll need to know the conversion factor: 1 liter = 1000 milliliters.
Multiply the given measurement (2.2 liters) by the conversion factor:
2.2 liters * 1000 milliliters/liter = 2200 milliliters
Therefore, the answer is A. 2200 mL.
4. To find out how many gallons Brandon needs for a 165-mile trip, divide the total distance by the miles per gallon ratio.
165 miles / 30 miles per gallon = 5.5 gallons
Therefore, the answer is C. 5.5 gal.