Answer:
Step-by-step explanation:
Given
<em>-- Corrected</em>
Required
Use the GCF to write it as a distributive property
First, we find the GCF of 75 and 45
The common factor is:
So, becomes
Factorize
<em>Hence, the sum has been rewritten as </em>
<em></em>
Answer:
The unit rate is 100 calories per cup
and 300 calories in the three cups of cereal
Step-by-step explanation:
Answer: 7/2
To find the slope, we must put the equation in y = mx + b form, and m represents ur slope.
7x - 2y = 4....subtract 7x from both sides
-2y = -7x + 4 ...now divide both sides by -2
y = (-7/-2)x + (4/-2)
y = 7/2x - 2....now we have it in y = mx + b form, and since m is ur slope, ur slope in this equation is 7/2.
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
Answer:8.11%
Step-by-step explanation:
Before Tax Price: $70.75
Sale Tax: 8.11% or $5.74
After Tax Price: $76.49
