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Aleksandr [31]
3 years ago
11

-1+19w=11w+23 answer

Mathematics
1 answer:
Greeley [361]3 years ago
4 0

Answer:

w = 3

Step-by-step explanation:

19w - 1 = 11w + 23

19w - 11w = 23 + 1

8w = 24

w = 3

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The polygons are similar. Find the value of x and y.
harina [27]

Answer:

x = 9, y = 27

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

\frac{x-1}{6} = \frac{16}{12} ( cross- multiply )

12(x - 1) = 96 ( divide both sides by 12 )

x - 1 = 8 ( add 1 to both sides )

x = 9

Also

\frac{y+1}{21} = \frac{16}{12} ( cross- multiply )

12(y + 1) = 336 ( divide both sides by 12 )

y + 1 = 28 ( subtract 1 from both sides )

y = 27

3 0
3 years ago
An urn contains 5 red balls and 2 green balls. Two balls are drawn one after the other. What is the probability that the second
AleksAgata [21]

Answer:

<em>The probability that the second ball is red is 71%</em>

Step-by-step explanation:

<u>Probabilities</u>

We know there are 5 red balls and 2 green balls. Let's analyze what can happen when two balls are drawn in sequence (no reposition).

The first ball can be red (R) or green (G). The probability that it's red is computed by

\displaystyle P(R)=\frac{5}{7}

The probability is's green is computed by

\displaystyle P(G)=\frac{2}{7}

If we have drawn a red ball, there are only 4 of them out of 6 in the urn, so the probability to draw a second red ball is

\displaystyle P(RR)=\frac{5}{7}\cdot \frac{4}{6}=\frac{10}{21}

If we have drawn a green ball, there are still 5 red balls out of 6 in the urn, so the probability to draw a red ball now is

\displaystyle P(GR)=\frac{2}{7}\cdot \frac{5}{6}=\frac{5}{21}

The total probability of the second ball being red is

\displaystyle P(XR)=\frac{10}{21}+\frac{5}{21}=\frac{5}{7}=0.71

The probability that the second ball is red is 71%

7 0
3 years ago
Perform the indicated operation. 9z^3/16xy . 4x/27z^3
ziro4ka [17]

Answer:

\frac{1}{12y}

Step-by-step explanation:

This is a multiplication problem.

We want to multiply \frac{9z^3}{16xy}\cdot \frac{4x}{27z^3}

We factor to get:

\frac{9z^3}{4\times 4xy}\cdot \frac{4x}{9\times 3z^3}

We now cancel out the common factors to get:

\frac{1}{4\times y}\cdot \frac{1}{1\times 3}

We now multiply the numerators and the denominators separately to get.

This simplifies to \frac{1}{12y}

Therefore the simplified expression is \frac{1}{12y}

8 0
3 years ago
Given that 6 yards is equal to 18 feet, what is the ratio of yards to fee
expeople1 [14]
I'm going to assume you just mean how do you write the ratio, in which case the answers vary
18:6
18 to 6
or
18/6
3 0
3 years ago
The differential equation dy dx equals the quotient of the quantity x plus 1 and y minus 3
Phantasy [73]

Answer:

I only

Step-by-step explanation:

dy/dx = x + 1 / y -3

(y - 3)dy = (x + 1) dx

integrate

1/2y^2 - 3x = 1/2x^2 + x

1/2y^2 = 1/2x^2 + 4x

y^2 = x^2 + 8x

y = (x^2 + 8x)^1/2

3 0
2 years ago
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