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Aleks04 [339]
3 years ago
13

The volume of a box(V) varies directly with its length(l). If a box in the group has a length of 25 inches and k = 15, what is i

ts volume?
375 cubic inches
455 cubic inches
1 2/3 cubic inches
Mathematics
1 answer:
Masja [62]3 years ago
8 0
The problem says that V(x) varies directly with its length. This is a proportionality problem. So, V(x) = kl. If you are given a length of 25 inches and a k (proportionality constant) of 15, you are required to find its volume V(x).  

V(x) = kl
V(x) = (15) (25 inches)
<u>V(x) = 375 cubic inches</u>  
<span>
The volume of the box is 375 cubic inches.

</span>
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Suppose the rate of growth of bacteria in a petri dish is given by q(t)=12 t, where t is given in hours and q(t) is given in mil
ycow [4]

Answer:

a) Q(t) = 89 + 12t

b) Q(3) = 125  millions of bacteria

Step-by-step explanation:

a)

to write a function of the growth of bacteria, we need to consider the initial population and add it to the new bacteria. Also we need to consider that the result of the function is in millions of bacteria, so when we get a result, we express it in millions.

Data

Initial population = 89 just add it to the function given   12t

          Q(t) = 89 + 12t

b) Data     time = 3 h

      Q(3) = 89 + 12(3)    substitution

      Q(3) = 89 + 36       simplifying

      Q(3) = 125 millions of bacteria

3 0
3 years ago
Simplify: -20w³ + 11w³<br> Enter the original expression if it cannot be<br> simplified.
Ganezh [65]

Answer:

Step-by-step explanation:

Combine like terms

-20w³ + 11w³

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6 0
2 years ago
What is the value of c?
Lana71 [14]

Answer:

C=5

Step-by-step explanation:

use the pythagorean theorem:

a^{2} + b^{2} = c^{2}

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7 0
3 years ago
3 pounds of bananas costs $1.5. What is the constant of proportionality that relates the cost in dollars. y, to the number of po
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7 0
3 years ago
The sum of two numbers is 44 and the difference is 14. What are the numbers?
Fudgin [204]

Answer:

Hope it may help u

Step-by-step explanation:

The sum of two numbers is 44 and their difference is 14. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 44. In other words, x plus y equals 44 and can be written as equation A:

x + y = 44

The difference between x and y is 14. In other words, x minus y equals 14 and can be written as equation B:

x - y = 14

Now solve equation B for x to get the revised equation B:

x - y = 14

x = 14 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 44

14 + y + y = 44

14 + 2y = 44

2y = 30

y = 15

Now we know y is 15. Which means that we can substitute y for 15 in equation A and solve for x:

x + y = 44

x + 15 = 44

X = 29

Summary: The sum of two numbers is 44 and their difference is 14. What are the two numbers? Answer: 29 and 15 as proven here:

Sum: 29 + 15 = 44

Difference: 29 - 15 = 14

6 0
3 years ago
Read 2 more answers
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