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3 years ago

What does x equal in the equation: 5/9-2/7x=19/63

Mathematics

1 answer:

Paraphin [41]3 years ago

7 0

Answer:

x = 56/63

Step-by-step explanation:

$\frac{5}{9}-\frac{2}{7}x =\frac{19}{63}$

$\frac{19}{63} - \frac{5}{9} =\frac{-2}{7}x\\\\\frac{19-35}{63}=\frac{-2}{7}x\\\\\frac{-16}{63}= \frac{-2}{7}x\\\\\frac{-16}{63}*\frac{-7}{2} = x\\\\\frac{112}{126}=x\\\\x= \frac{56}{63}$

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Of the total number of spectators at a circus show, 1/4 are men. 2/5 of the remaining number of spectators are women. There are

ch4aika [34]

Answer: There are $198$ children at the circus show.

Step-by-step explanation:

Let be "x" the total number of spectators at the circus show and "c" the number of children at the circus show.

Knowing that $\frac{1}{4}$ of the spectators are men, we can find the remaining:

$x-\frac{1}{4}x=\frac{3}{4}x$

Since $\frac{2}{5}$ of the remaining number of spectaros are women and there are a total of 132 women, we can write the following equation:

$(\frac{2}{5})(\frac{3}{4}x)=132$

Solving for "x", we get:

$x=(132)(\frac{20}{6})\\\\x=440$

Therefore, we get that "c" is:

$c=440-\frac{1}{4}(440)-132\\\\c=198$

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3 years ago

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ANTONII [103]

The coordinates would be (2,7) you just have to move 1 left 4 up

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3 years ago

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balandron [24]

Answer:

notice how a right triangle was formed, and the Pythagorean theorem could be used to solve this :

a^2 + b^2 = c^2

a^2 + 15^2 = 17^2

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5 0

3 years ago

What is a cubic polynomial function in standard form with zeros 1,1,and -3?

Mekhanik [1.2K]

Answer:

f(x) = x³ + x² - 5x + 3

Step-by-step explanation:

The cubic polynomial has zeros at 1, 1, - 3.

Therefore, x = 1, 1, - 3 are the roots of the polynomial and hence, (x - 1), (x - 1) and (x + 3) will be factors of the cubic polynomial.

Hence, we can write the polynomial as a function of x as

f(x) = (x - 1)(x - 1)(x + 3)

⇒ f(x) = (x² - 2x + 1)(x + 3)

⇒ f(x) = x³ - 2x² + 3x² + x - 6x + 3

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So, this is the cubic polynomial function in standard form. (Answer)

8 0

3 years ago

The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams

JulsSmile [24]

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Step-by-step explanation:

Normal Probability Distribution:

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.

Mean of 90 grams and a standard deviation of 2 grams.

This means that $\mu = 90, \sigma = 2$