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Sonja [21]
1 year ago
6

Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5​

Mathematics
1 answer:
maria [59]1 year ago
8 0

Answer:

B = 1.875

Step-by-step explanation:

given that A varies directly as B and inversely as C then the equation relating them is

A = \frac{kB}{C} ← k is the constant of variation

to find k use the condition A = 12 when B = 3 and C = 2 , then

12 = \frac{3k}{2} ( multiply both sides by 2 to clear the fraction )

24 = 3k ( divide both sides by 3 )

8 = k

A = \frac{8B}{C} ← equation of variation

when A = 10 and C = 1.5 , then

10 = \frac{8B}{1.5} ( multiply both sides by 1.5 )

15 = 8B ( divide both sides by 8 )

1.875 = B

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yarga [219]

Answer:

  No. The actual total surface area is double that: 108 in².

Step-by-step explanation:

The area Charlotte has computed is the area of the faces you can see. There are three other faces you cannot see that are the same size. So, the total area is double the amount Charlotte has computed.

  A = 2(LW +H(L+W)) = 2(6·4+3(6+4)) = 2(24+30) = 2(54) = 108 . . . . sq in

5 0
3 years ago
Alexis bought a CD player. She does not remember the price, but she does know that the 5% sales tax came to $4.80. What was the
snow_lady [41]

Answer:

Price of CD player = $96

Step-by-step explanation:

Given:

Sales tax = 5%

Amount of sales tax = $4.80

Find:

Price of CD player

Computation:

Price of CD player = Amount of sales tax / Sales tax

Price of CD player = 4.8 / 5%

Price of CD player = $96

6 0
2 years ago
The sales totals at Macy's food store have increased exponentially over the months. Which of these best shows the sales in the f
AleksandrR [38]

Answer:

Letter C

Step-by-step explanation:

8 0
2 years ago
Write and equation with aa variable on both sides of the equal sign that has infinitely many solutions. solve the equation and e
LekaFEV [45]
X = x

to solve, subtract both sides by x:

0 = 0

x is always equals to x so infinite solutions
8 0
3 years ago
On Sunday, a local hamburger shop sold a combined total of 428 hamburgers and cheeseburgers. The number of cheese burgers sold w
melisa1 [442]
The equation you can use is x + 3x = 428 with x as the number of cheeseburgers and 3x the number of hamburgers 
you solve for x and get 4x= 428 and x=107

so 321 hamburgers were sold that day.
5 0
2 years ago
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