Solve for p −160=22+8(3p−4)

What is the value of y if 13/9 = y/18

Maslowich

Answer:

$y=26$

Step-by-step explanation:

1. Swap sides

$\frac{13}{9}=\frac{y}{18}$

Swap sides:

$\frac{y}{18}=\frac{13}{9}$

2. Isolate the y

$\frac{y}{18}=\frac{13}{9}$

Multiply to both sides by 18:

$\frac{y}{18}\cdot 18=\frac{13}{9}\cdot 18$

Group like terms:

$\frac{1}{18}\cdot 18y=\frac{13}{9}\cdot 18$

Simplify the fraction:

$y=\frac{13}{9}\cdot 18$

Multiply the fractions:

$y=\frac{13\cdot 18}{9}$

Simplify the arithmetic:

$y=26$

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Why learn this:

Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.

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Terms and topics

Linear equations with one unknown

The main application of linear equations is solving problems in which an unknown variable, usually (but not always) x, is dependent on a known constant.

We solve linear equations by isolating the unknown variable on one side of the equation and simplifying the rest of the equation. When simplifying, anything that is done to one side of the equation must also be done to the other.

An equation of:

$ax+b=0$

in which $a$ and $b$ are the constants and $x$ is the unknown variable, is a typical linear equation with one unknown. To solve for $x$ in this example, we would first isolate it by subtracting $b$ from both sides of the equation. We would then divide both sides of the equation by $a$ resulting in an answer of:

$x = -b/a$

8 0

2 years ago

Which number is equal to 5 x 103?<br> A. 150<br> B. 500<br> C. 515<br> D. 5.000

denis23 [38]

The answer is 515. Because 5×103 is 515

7 0

3 years ago

Read 2 more answers

A sound wave travels through iron at a rate of 5120\,\dfrac{\text{m}}{\text{s}}5120

Jet001 [13]

The rate at which the sound travels in km/hr is 0.142km/hr

<h3>Conversion of m/s to km/hr</h3>

If a sound wave travels with a speed of 5120m/s, in order to convert to km/he, we will use the conversion factor below;

1hr = 3600secs

1km = 1000m

Using the conversion factor in our dimensional analysis

5120m/s = 5120m/1s * 1km/1000m * 3600s/1hr

5120m/s = 5120m/3600000

5120m/s = 0.142km/hr

Hence the rate at which the sound travels in km/hr is 0.142km/hr

learn more on dimensional analysis here: brainly.com/question/21510595

#SPJ1

6 0

1 year ago

A die is rolled. If you roll a 1, 2 or 3, you will toss 10 coins. If you roll a 4, 5 or 6, you will toss 20 coins. Let X denote

trasher [3.6K]

Answer:

a) The support of X is {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

b) The mean of X is 7.5

c) The variance of X is 10

Step-by-step explanation:

a) Since you can toss up to 20 coins, and from that you can obtain any number of heads from 0 to 20, then the support of X {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}.

b) To compute the mean of X, we need to see how is the <em>behavior</em> of X. Since 3 dices will gives 10 coins to toss and the other 3 will give us 20, then there is a probability of 1/2 that we tossed 10 coins and a probability of 1/2 that we tossed 20.

The random variable X, conditioned to the event 'The dice is 1,2 or 3' (or equivalently, 10 coins are tossed), will have a binomial distribution with paramenters n = 10, p = 1/2. The mean of X in this case is np = 5. If X is conditioned to the event 'The dice is 4,5 or 6', then X will have also binomial distribution, but this time with paramenters n = 20, p = 1/2. The mean of X in this case is 20*1/2 = 10.

Since each event we conditioned in had probability 1/2 to occur, then E(X) = 1/2 * 5 + 1/2 * 10 = 7.5.

c) Remember that V(X) = E(X²)- E(X)². Since we alredy know the mean of X, we just need to compute the mean of X squared.

The variance of a binomial distribution Z with paramenters n and p is

V(Z) = np(1-p)

since V(Z) = E(Z²)- E(Z)² = E(Z²)- n²p², then

E(Z²) = V(Z) + E(Z)² = np(1-p) + n²p² = p²(n²-n) + np

Therefore

E(X²) = E(X² | 10 coins are tossed) * 1/2 + E(X² | 20 coins are tossed) * 1/2 =

1/2*(0.5²(10²-10) + 5) + 1/2*(0.5²(20²-20) + 10) = 13.75 + 52.5 = 66.25

As a consecuence

V(X) = 66.25 - 7.5² = 10

The variance of X is 10.

5 0

3 years ago

Plot all the points.<br><br>Plss help me on this im stuck.<br>Nonsense will be reported!!

horrorfan [7]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers