a. A=7560(t)+5550
work: 45 × 24 × 7 =7650
b. t=12.5
100,000=7650(t)+5500 (subtract)
94450=7650(t) (divide)
12.493386243 (round)
12.5
7 tables minimum in order to seat 33 kids
Volume of shipping box: 3 3/4 x 3 x 3 1/4 = 36 9/16 cubic feet.
Volume of fish food box: 1/4 x 1/4 x 1/4 = 1/64 cubic feet.
Number of fish food boxes: 36 9/16 / 1/64 = 2,340 boxes.
Volume of Cylinder V = πr²h
diameter = 6 feet, radius = 6/2 = 3 feet
dV/dt = (dV/dh) * (dh/dt) by change rule.
V = <span>πr²h
dV/dh = </span>πr² = π*3² = 9π ft²<span>
dV/dt = 2 ft</span>³/min
<span>dV/dt = (dV/dh) * (dh/dt)
</span>
2 ft³/min = 9π ft² * (dh/dt)
9π ft² * (dh/dt) = 2 ft<span>³/min
</span>
(dh/dt) = (2 ft³/min)/(9π ft<span>²)
(dh/dt) = (2/</span>9π) ft/min
So the water level is rising at (2/9<span>π) ft/min.</span>
Answer:
C. (3x2 - 10) (x - 2)
Step-by-step explanation:
3x^2 - 16x +20
Step 1: Sum = - 16x
Product = 60x^2
Step 2: Find 2 numbers that their sum is -16 and their product is 60. If you do that correctly, then you will get two numbers: 10 and -6
Step 3: Replace -16x with the two numbers found in step 2, then you will have; 3x^2 - 6x - 10x + 20
Step 4: Factorise the equation in step 3, like so;
(3x^2 - 6x)(- 10x + 20)
3x(x - 2) -10(x - 2)
(3x - 10)(x - 2)
To check if the answer is correct, expand the bracket: (3x - 10)(x - 2)
If the bracket is opened properly, you will get 3x^2 - 16x + 20