All categories

2 years ago

20 POINTS!!!

Mathematics

2 answers:

lana [24]2 years ago

8 0

Answer:

C = 963/92

Step-by-step explanation:

Given :

A ∝ B
A ∝ 1/C

Finding the constant of variation, k

A = kB/C
6 = k(10)/(15) [Given in 1st part of question]
6 = 2k/3
2k = 18
k = 9

Finding C

Using the same equation, and new values of A and B, we can find C
A = kB/C
C = kB/A
C = 9 x 107 / 92
C = 963/92

Crank2 years ago

3 0

Answer:

C = $\frac{963}{92}$

Step-by-step explanation:

given 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 = 6 , B = 10 , C = 15 , then

6 = $\frac{x10k}{15}$ ( multiply both sides by 15 )

90 = 10k ( divide both sides by 10 )

9 = k

A = $\frac{9B}{C}$ ← equation of variation

when A = 92 and B = 107 , then

92 = $\frac{9(107)}{C}$ ( multiply both sides by C )

92C = 963 ( divide both sides by 92 )

C = $\frac{963}{92}$

You might be interested in

IMAGE BELOW I WILL GIVE BRAINLIEST

diamong [38]

Answer:

for L 2, 2 and for LM it is -8,8

Step-by-step explanation:

easy

7 0

2 years ago

Wendy won 16% of the games she played. If she won 40 games, how many did she play?

Liula [17]

Let x = total games played

16% = 0.16

0.16x = 40. Divide each number by 0.16.

x = 250

Wendy played 250 games

7 0

3 years ago

Dan learned the mass of an electron is about 9.1×10⁻³¹ while the mass of a proton is about 1.7×10⁻²⁷. He thinks electrons have a

Lyrx [107]

Answer:so I will try.

Step-by-step explanation:but it might take a will

4 0

3 years ago

At The Green House of Salad, you get a$1 coupon for every 3 salads you buy.What is the least number of salads you could buy to g

mestny [16]

Answer:

Step-by-step explanation:

4 0

3 years ago

John's commute to work is 20kmhr while Sheri's commute is 500mmin. Who has the fastest commute to work in mihrif 1.61km=1mi? A S

Andreyy89

Answer:

A) Sheri has the faster commute by 6.2 miles/hr.

Step-by-step explanation:

Given

John's commute to work $=20\ km/hr$

Sheri's commute to work $=500\ m/min$

$1.61\ km = 1\ mile$

John's commute to work in miles per hour = $\frac{20\ km}{1 hr}\times \frac{1\ mile}{1.61\ km}= 12.42\ miles/hr$

Sheri's commute to work in miles per hour = $\frac{500\ m}{1\ min}\times \frac{1\ km}{1000\ m}\times \frac{1\ mile}{1.61\ km}\times \frac{60\ min}{1\ hr}= 18.63\ miles/ hr$

We can see that Sheri has a faster commute.

Difference between the rates = $18.63\ miles/ hr-12.42\ miles/hr=6.21\ miles/hr\approx 6.2\ miles/hr$

∴ Sheri has the faster commute by 6.2 miles/hr.

3 0

3 years ago