Answer:
Step-by-step explanation:
The equation which can convert the temperature from degree Celsius into degree Fahrenheit is given as under
We can solve it further for F as
Dividing both sides by 5 we get
Now substituting values of C in this equation will give us the corresponding values of F
Ex : C=1
Hence 1 degree Celsius is 
degree Fahrenheit
Answer:
C. 120 students
Step-by-step explanation:
10 + 15 + 20 +30 = 75%
100 - 75 = 25%
25% chose football which is 100 students
30% chose swimming
setup proportion:
25/100 = 30/x
25x = 100(30)
25x = 3000
x = 120
Answer: 46.90mins
Step-by-step explanation:
The given data:
The diameter of the balloon = 55 feet
The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.
Solution:
dr/dt = 1.5 feet per minute = 1.5 ft/min
V = 4/3·π·r³
The maximum volume of the balloon
= 4/3 × 3.14 × 55³
= 696556.67 ft³
When the volume 2/3 the maximum volume
= 2/3 × 696556.67 ft³
= 464371.11 ft³
The radius, r₂ at the point is
= 4/3·π·r₂³
= 464371.11 ft³
r₂³ = 464371.11 ft³ × 3/4
= 348278.33 ft³
348278.333333
r₂ = ∛(348278.33 ft³) ≈ 70.36 ft
The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)
The time for the radius to increase to the
above length
Time taken for the radius to increase the length.
= is 70.369 ft/(1.5 ft/min)
= 46.90 minutes
46.90mins is the time taken to inflate the balloon.
Answer:
The percent increase between getting a high school scholarship and bachelor's degree is <u>59.14%</u>.
Step-by-step explanation:
Given:
High school scholarship is $421.
Bachelor's degree is $670.
Now, to find the percent increase between a high school scholarship and bachelor's degree.
So, we get the amount of increase between a high school scholarship and bachelor's degree.
<em>Thus, the amount of increase = $249</em>.
Now, to get the percent increase between a high school scholarship and bachelor's degree:
Therefore, the percent increase between getting a high school scholarship and bachelor's degree is 59.14%.
It seems like you've begun to apply the grouping method.
Because the two binomials in the parentheses are the same, we can rewrite this as
(5ab-4)(x+6)
(x+6) cannot be further factored. (5ab-4) cannot be further factored either.
Final answer: (5ab-4)(x+6)
