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3 years ago

The Kicking Cacti and the Sprinting Stingrays met in their town's annual kickball

1 answer:

4 0

Using proportions, it is found that each of the pitchers for the Stingrays pitched for $\mathbf{\frac{11}{3} = 3\frac{2}{3}}$ innings.

This question is solved by proportions, using a rule of three.

In total, the Stingrays pitched 11 innings, with 3 pitchers. Each pitcher pitched the same amount of innings, hence, 1 pitcher pitched x innings.

The rule of three is:

3 pitchers - 11 innings

1 pitcher - x innings

Applying cross multiplication:

$3x = 11$

$x = \frac{11}{3}$

11 divided by 3 has result 3 with remainder 2, hence, also considering the answer as a mixed number:

Each of the pitchers for the Stingrays pitched for $\mathbf{\frac{11}{3} = 3\frac{2}{3}}$ innings.

You can learn more about proportions at brainly.com/question/24372153

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Un grupo de compañeros de clase está planificando un viaje de cada uno de ellos hicieron aportación de 14 pesos para gastos de v

Crank

Answer:

$14.8

Step-by-step explanation:

There is a mistype in the question. It should say: ... si cada uno de ellos hicieron una contribución de dieciseis pesos...

So if everybody contributes $14, they make a total of 14*x, where x denotes the number of students. In this scenario, $4 are left, calling y to the cost of the trip, then:

14*x = y - 4 (eq. 1)

In the other scenario, everybody contributes $16 and $6 are in excess, so

16*x = y + 6 (eq. 2)

subtracting eq. 1 to eq. 2:

16*x - 14*x = y + 6 - (y - 4)

2*x = y + 6 - y + 4

2*x = 10

x = 10/2 = 5

Replacing this value in eq. 1:

14*5 = y - 4

70 + 4 = y

y = $74

If every student pays: 74/5 = $14.8, then they would get altogether the exact cost of the trip

7 0

3 years ago

The formula for the volume of a cylinder is V = xi?n. The cylinder to the right has an exact volume of 1440x cubic meters Find

Hunter-Best [27]

Answer:

Step-by-step explanation:

3 0

3 years ago

Prachi was 5 kilometers east of her home when she began driving farther east at 70 kilometers per hour. Let f(n) be Prachi's dis

Yanka [14]

Answer:

Prachi was 5 kilometers east of her home when she began driving farther east at 70 kilometers per hour.

Let f(n) be Prachi's distance from her home at the beginning of the nth hour of her drive.

f is an arithmetic sequence.

Write an explicit formula for the sequence.

f(n) = 70n + 5

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Catering the concord theater serves punch during intermission. If each of 200 people think 1 c of punch, how many gallons of pun

Delicious77 [7]

Answer:

they will need 2 gallons of punch

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3 years ago

Which two functions are inverses of each other?

liraira [26]

Answer:

Option 3 - f(x)= 4x, $g(x) = \frac{1}{4}x$

Step-by-step explanation:

To find : Which two functions are inverses of each other?

Solution :

Two functions are inverse if $f(g(x))=x=g(f(x))$

Now, we find one by one

1) f(x)= x, g(x) = -x

$f(g(x))=f(-x)=-x\neq x$

Not true.

2) f(x)= 2x, $g(x) = -\frac{1}{2}x$

$f(g(x))=f(-\frac{1}{2}x)=2\times(-\frac{1}{2}x)=-x\neq x$

Not true.

3) f(x)= 4x, $g(x) = \frac{1}{4}x$

$f(g(x))=f(\frac{1}{4}x)=4\times(\frac{1}{4}x)=x$

$g(f(x))=f(4x)=\frac{1}{4}\times 4x=x$

i.e. $f(g(x))=x=g(f(x))$ is true.

So, These two functions are inverse of each other.

4) f(x)= -8x, $g(x) =8x$

$f(g(x))=f(8x)=8\times(-8x)=-64x\neq x$

Not true.

Therefore, Option 3 is correct.

6 0

3 years ago