Answer:
(x+2)(x+1)
Step-by-step explanation:
Assuming im interpreting this correctly, it should be (x+2)(x+1), since if you plug in -2 and -1, it will give you 0, which is the answer.
252 seeds
Since there is 42 seeds in each of the 12 bags you need to multiply 42 and 12
42 × 12 = 504
So in total she has 504 seeds, now you need to split that in half by dividing 504 and 2
504 ÷ 2 = 252
Therefore she has 252 seeds left
Hope this helps! :)
Answer:
300 girls
Step-by-step explanation:
100% represents the whole school
To calculate this amount divide 99 by 33% to find 1% and multiply by 100
school population = × 100 = 3 × 100 = 300
Answer: x = 7
Step-by-step explanation:
Corresponding angles have congruent measures. Thus, 11x - 2 = 75
11x - 2 = 75
11x = 77
x = 7
<u>Answer:</u>
time required = 26 min
<u>Step-by-step explanation:</u>
To solve this, let's first list all the given information, and change the units to millimeters (mm) if required (because the discharge rate is given in mm/s):
○ diameter of pipe = 64 mm ⇒ radius = 32 mm
○ water discharge rate = 2.05 mm/s
○ diameter of tank = 7.6 cm = 76 mm ⇒ radius = 38 mm
○ height of tank = 2.3 m = 2300 mm.
Now, let's calculate the cross-sectional area of the pipe:
Area = πr²
⇒ π × (32 mm)²
⇒ 1024π mm²
Next, we have to calculate the volume of water transferred from the pipe to the tank per second. To do that, we have to multiply the pipe's cross-sectional area and the discharge rate of the water:
Volume transferred = 1024π mm² × 2.05 mm/s
⇒ 6594.83 mm³/s
Now. let's find the volume of the cylindrical tank using the formula:
Volume = π × r² × h
⇒ π × (38)² × 2300
⇒ 10433857 mm³
We know that 6594.83 mm³ of water is transferred to the tank every second, so to fill up 10433857 mm³ with water,
time required =
⇒ 1582.12 s
⇒ 1582.13 ÷ 60
≅ 26 min