All categories

2 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

You might be interested in

Simplify the expression (7x² - 3x) + (11x² - x - 7) A. 18x² + 2x + 7 B. 4x² - 4x - 7 C. 18x² - 2x - 7 D. 18x² - 4x - 7

IRINA_888 [86]

Answer: D.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Suppose F⃗ (x,y)=(x+3)i⃗ +(6y+3)j⃗ . Use the fundamental theorem of line integrals to calculate the following.

Scorpion4ik [409]

In order to use the fundamental theorem of line integrals, you need to find a scalar potential function - that is, a scalar function f(x, y) for which

grad f(x, y) = F(x, y)

This amounts to solving for f such that

∂f/dx = x + 3

∂f/∂y = 6y + 3

Integrating both sides of the first equation with respect to x gives

f = 1/2 x ^2 + 3x + g(y)

Differentiating with respect to y gives

∂f/∂y = dg/dy = 6y + 3

Solving for g gives

g = ∫ (6y + 3) dy = 3y ^2 + 3y + C

and hence

f(x, y) = 1/2 x ^2 + 3x + 3y ^2 + 3y + C

(a) By the fundamental theorem, the integral of F along any path starting at the point P (1, 0) and ending at Q (3, 3) is

∫ F(x, y) • dr = f (3, 3) - f (1, 0) = 99/2 - 7/2 = 46

(b) Now we're talking about a closed path, so the integral is simply 0. We can verify this by checking the integral over the origin-containing paths:

• From the origin to P :

∫ F(x, y) • dr = f (1, 0) - f (0, 0) = 7/2 - 0 = 7/2

• From Q back to the origin:

∫ F(x, y) • dr = f (0, 0) - f (3, 3) = 0 - 99/2 = -99/2

Then the total integral is 7/2 + 46 - 99/2 = 0, as expected.

6 0

3 years ago

Convert 185 degrees Celsius to degrees Fahrenheit. Round your answer to the nearest degree

lakkis [162]

Hello! :3

Answer:

The Correct Answer is 365 °F

Step-by-step explanation:

The C to F formula is $(C ~x~ 9/5) + 32 = F$

When we do 185 for C in the formula, we get $(185 ~x~ 9/5) + 32 = F.$

To solve, $(185 ~x~ 9/5) + 32 = F.$ we first multiply 9 by 185, then we divide the product by 5, and then finally we add 32 to the quotient to get the answer.

$185~x~9=1665$