Algebra please help me!!!!

Jug can type 128 words in 3 minutes. How many minutes will it take him to type 576 words

KATRIN_1 [288]

Answer:

13.5 minutes

Step-by-step explanation:

$\frac{3 min }{128 words} = \frac{xmin}{576 words}$

Cross multiply

3 × 576 = 128x

3 × 576 = 1,728

1,728 = 128x

1,728 ÷ 128 = x

13.5 = x

8 0

3 years ago

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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an

maxonik [38]

Answer:

5.0 ft-lbf

Step-by-step explanation:

The force is

$F = \dfrac{9}{6^x}$

This force is not a constant force. For a non-constant force, the work done, W, is

$W = \int\limits^{x_2}_{x_1} {F(x)} \, dx$

with $x_1$ and $x_2$ the initial and final displacements respectively.

From the question, $x_1 =0$ and $x_2 = 12$ .

Then

$W = \int\limits^{12}_0 {\dfrac{9}{6^x}} \, dx$

Evaluating the indefinite integral,

$\int\limits \dfrac{9}{6^x} \, dx =9 \int\limits\!\left(\frac{1}{6}\right)^x \, dx$

From the rules of integration,

$\int\limits a^x\, dx = \dfrac{a^x}{\ln a}$

$9 \int\limits \left(\frac{1}{6}\right)^x \, dx = 9\times\dfrac{(1/6)^x}{\ln(1/6)} = -5.0229\left(\dfrac{1}{6}\right)^x$

Returning the limits,

$\left.-5.0229\left(\dfrac{1}{6}\right)^x\right|^{12}_0 = -5.0229(0.1667^{12} - 0.1667^0) = 5.0229 \approx 5.0 \text{ ft-lbf}$

4 0

3 years ago

Select all of the pieces of information that would tell you x and y have a proportional relationship. Let y represent the distan

natima [27]

Complete Question:

Select all of the pieces of information that would tell you x and y have a proportional relationship.

Let y represent the distance between a rock and a turtle's current position in meters and x represent the number of minutes the turtle has been moving. y=3x

1. After 4 minutes, the turtle has walked 12 feet away from the rock.

2. The turtle walks for a bit, then stops for a minute before walking again.

3. The turtle walks away from the rock at a constant rate.

Answer:

1. After 4 minutes, the turtle has walked 12 feet away from the rock.

3. The turtle walks away from the rock at a constant rate.

Step-by-step explanation:

Given

$y = 3x$

Required

Determine which of the options answers the question

Recall that:

$y = distance$

$x = time$

Analyzing the options 1 after the other:

Option 1:

In this option, we have that:

$y = 12$

$x = 4$

Substitute these values of x and y in the given equation

$y = 3x$

$12 = 3 * 4$

$12 = 12$

Because both sides of the equation are equal, this option shows a proportional relationship

Option 2:

The given equation cannot be used to ascertain the information given in this option.

Because for a every time (in minutes) traveled by the turtle, there's a corresponding distance moved.

Option 3:

Recall that

$y = 3x$

Assume $x = 5$

y would be

$y = 3 * 5$

$y = 15$

Assume $x = 6$

y would be

$y = 3 * 6$

$y = 18$

For every values of x and corresponding y value, there exist a constant relationship because:

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

This implies that the rate at which the turtle moved is 3ft/s and this rate is constant.

7 0

3 years ago

Which number is not a perfect square?

bagirrra123 [75]

Answer:

C

Step-by-step explanation:

If I had to make a choice it would be C. Its strange because all numbers can be divided by 4 so they all can make a square. But the closest was C.

7 0

4 years ago

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A cereal company is putting 1 of 4 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning

Nezavi [6.7K]

Answer: 0.3

Step-by-step explanation:

Because it took fewer than 7 boxes only 6 of the 20 simulated trials

P(fewer than 7 boxes) = 6/20 = 3/10 = 0.3

6 0

3 years ago

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