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3 years ago

One half of the difference of a number and three will result in two thirds of the difference of the number and eight

Mathematics

1 answer:

cupoosta [38]3 years ago

6 0

1/2(x - 3) = 2/3(x - 8)

Distributive property on both sides.

0.5x - 1.5 = 0.7x -5.3

Add 5.3 to both sides.

0.5x + 3.8 = 0.7x

Subtract 0.5x from both sides.

3.8 = 0.2x

Multiply both sides by 5.

x = 19 (This is your answer.)

Let me know if you have any other questions. :)

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Ber [7]

the answer to your equation is

n=40

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3 years ago

Perform the indicated operation. Express answer as a simplified fraction (You may have

timofeeve [1]

Step-by-step explanation:

$4 + \frac{2}{3} = \frac{3 \times 4 + 2}{3} = \frac{14}{3} = 4 \frac{2}{3}$

$\frac{67}{71} \times \frac{381}{399} = \frac{67 \times 381}{71 \times 399} = \frac{25527}{28329} = \frac{8509}{9443}$

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3 years ago

A student has a monthly budget of $800. She can spend her budget on two items, X and Y. Each unit of X costs $20 and each unit o

Aleonysh [2.5K]

Answer:

Check the explanation

Step-by-step explanation:

Total utility is the overall satisfaction that a particular consumer received from consuming a given overall quantity of a good or service, To calculate the value of total utility economists utilize the following basic total utility formula: TU = U1 + MU2 + MU3

Kindly check the attached image below to see the step by step explanation to the question above.

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4 years ago

Determine the graph of the polar equation r=4/(1-1/2cosx(theta))

crimeas [40]

Answer:

see below

Step-by-step explanation:

We assume you want the graph of ...

$r=\dfrac{4}{1-\frac{1}{2}\cos{(\theta)}}$

A graphing calculator or spreadsheet is useful for this.

You know cos(θ) = cos(-θ), so the graph is symmetrical about the x-axis. You can evaluate the function at a few points to find the general outline.

r at 0° = 8

r at 30° ≈ 7.05

r at 45° ≈ 6.19

r at 60° ≈ 5.33

r at 90° = 4

r at 120° = 3.2

r at 135° ≈ 2.96

r at 150° ≈ 2.79

r at 180° ≈ 2.67

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4 years ago

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points. Rachel scored 78 p

Artemon [7]

Answer:

Keenan's z-score was of 0.61.

Rachel's z-score was of 0.81.

Step-by-step explanation:

Z-score:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.

This means that $X = 80, \mu = 77, \sigma = 4.9$