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dangina [55]
3 years ago
9

Suppose y varies directly with x. If y = 6 when x = 18, find the value of y when x= 8.

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
8 0

Answer:

y = \frac{8}{3}

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition

y = 6 when x = 18 , then

6 = 18k ( divide both sides by 18 )

k = \frac{6}{18} = \frac{1}{3}

y = \frac{1}{3} x ← equation of variation

When x = 8, then

y = \frac{1}{3} × 8 = \frac{8}{3}

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Swimming Pool On a certain hot​ summer's day, 143 people used the public swimming pool. The daily prices are $ 1.25 for children
kramer

Answer: 102 children and 41 adults swam at the pool that day.

Step-by-step explanation:

Let x represent the number of children that swam at the public pool that​ day.

Let y represent the number of adult that swam at the public pool that​ day.

On that certain hot​ summer's day, 143 people used the public swimming pool. It means that

x + y = 143

The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $219.75. It means that

1.25x + 2.25y = 219.75- - - - - - - - -1

Substituting x = 143 - y into equation 1, it becomes

1.25(143 - y) + 2.25y = 219.75

178.75 - 1.25y + 2.25y = 219.75

- 1.25y + 2.25y = 219.75 - 178.75

y = 41

x = 143 - y = 143 - 41

x = 102

5 0
4 years ago
What is the estimate of 45.15
erastova [34]

Answer:

The estimate would be:

(one of them :)

45 (if your doing the entire number)

0 (if your rounding out of 100)

45.2 (nearest hundredth)

45.0 (nearest tenth)

50 (nearest tens)

Hopefully one of these works for you.

6 0
3 years ago
If f(x) = x2 − 6x + 3 x − 1 , what is f(−1)? A) −5 B) −2 C) 2 D) 5
ale4655 [162]

Answer:

f(-1)=3

Step-by-step explanation:

f(x)=x^2-6x+3x-1

f(x)=x^2-3x-1

f(-1)=(-1)^2-3(-1)-1

f(-1)=1+3-1

f(-1)=4-1

f(-1)=3

8 0
4 years ago
A cell splits in half every 15 minutes. How many cells will there be in 150 minutes (2.5 hours)??
Trava [24]
The answer will be 2^10 or 1024 cells
5 0
4 years ago
An arc of length 3 feet is cut off by a central angle of π/4 radians. Find the area of the sector formed
tino4ka555 [31]
 so hmm notice the picture below

so \bf \textit{area of a sector of a circle}\\\\
A=\cfrac{s^2}{2\theta}\qquad
\begin{cases}
\theta=\textit{central angle in radians}\\
s=\textit{length of the arc}
\end{cases}

3 0
3 years ago
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