All categories

3 years ago

Solve for w. 9w-4/4=5w-6/7+6

Mathematics

1 answer:

ELEN [110]3 years ago

5 0

Answer:

$w=\frac{1}{16}$

Step-by-step explanation:

$\frac{9w-4}{4} =\frac{5w-6}{7+6}$

$9w-1=\frac{5w-6}{13}$

$9w-1+1=\frac{5w-6}{13}+1$

$9w=\frac{5w-6}{13}+1$ <u />

13 × 9w = 13 × $\frac{5w-6}{13}+1$

117w = 5w - 6 + 13

117w = 5w + 7

117w - 5w = 5w - 5w + 7

112w = 7

112w ÷ 112 = 7 ÷ 112

$w=\frac{1}{16}$

You might be interested in

The angle of elevation to the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall? A. 0.81 m B. 1.99 m C.

Zanzabum

Answer:

C. 4.09 m

Step-by-step explanation:

Let the length of the shadow cast by a person be x m.

$\tan \: 24 \degree = \frac{height \: of \: person}{length \: of \: the \: shadow} \\ \\ 0.4452286853 = \frac{1.82}{x} \\ \\ x = \frac{1.82}{0.4452286853} \\ \\ x = 4.08778693 \: m \\ x = 4.09 \: m$

7 0

3 years ago

What % is 2000 from 40,000

3241004551 [841]

Answer:

Step-by-step explanation:

2000/40000 = 0.05

All you do is divide both numbers and you'll get the decimal form which in this case is 0.05 which means 5%.

8 0

3 years ago

Read 2 more answers

3. ms. Johnson placed two different orders with TR's special item store. each order was for 40 jars with the circus logo imprint

denis23 [38]

1.The height is 6 inches ad the width (diameter) is 3 inches!
2. So the jars are Volume ≈ 42.41 inches so each boy needs 200 / 42.41 which equals approximately 4.72 inches per jar. So if wach boys have half the amount of jars which is 20 you multiply 20 by 4.72 which is 94.4 inches for each boy!

3 0

3 years ago

The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3639 3639 miles, with a var

Andrei [34K]

Answer:

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

A reminder is that the standard deviation is the square root of the variance.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .