Answer:
267.95 cubic meters
Explanation:
volume of sphere: (4/3)π(radius)³
Here given:
Volume:
<u>insert values</u>
<u>simplify</u>
<u>final answer</u>
Answer: D. 8.50a + 6.75k + 1.75(a + k)
Step-by-step explanation:
Cost of adult meal = $8.50
Cost of kid meal = $6.75
Cost of drink = $1.75
Number of adults = a
Number of kids = k
Since everyone orders a meal and
a drink, the expression that can be used to express the total cost of the meal will be:
Cost for adults:
= (8.50 × a) + (1.75 × a)
= 8.50a + 1.75a
Cost for kids:
= (6.75 × k) + (1.75 × k)
= 6.75k + 1.75k.
To get the total cost, we add the cost for adults and kids together. This will be:
= 8.50a + 1.75a + 6.75k + 1.75k.
= 8.50a + 6.75k + 1.75a + 1.75k
= 8.50a + 6.75k + 1.75(a + k)
Therefore, the correct option is D.
Answer:
V₂ = 450 cm³
Step-by-step explanation:
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.
If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg
We need to find a new volume. Using the above concept,
So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters
Answer:
x < 1/2
Step-by-step explanation:
Distribute: -9x - 18 > 9x - 27
Collect like terms: -18x > -9
Divide both sides by -18: x < 1/2.
The sign changes because both sides were divided by a negative number.
Answer:
Required number is 4.
Step-by-step explanation:
Let the required number be a.
Given,
Sum of ten times the integer and seven times it’s square is 152.
= > Ten times of a + seven times of it's square = 152
= > 10( a ) + 7( a )^2 = 152
= > 10a + 7a^2 - 152 = 0
= > 7a^2 + 10a - 152 = 0
= > 7a^2 + ( 38 - 28 )a - 152 = 0
= > 7a^2 + 38a - 28a - 152 = 0
= > a( 7a + 38 ) - 4( 7a + 38 ) = 0
= > ( a - 4 )( 7a + 38 ) = 0
= > a = 4 or - 38 / 7
Hence the required number is 4.