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Marat540 [252]
2 years ago
8

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

Mathematics
1 answer:
Maslowich2 years ago
8 0

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

---------------------------

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.

---------------------

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

You might be interested in
Look at the following graph of the given equation. Determine whether the equation is a function. Explain why or why not.
Vadim26 [7]

The equation y=2x+2 is a function

Explanation:

Given that the graph contains the coordinates (-1,0), (0,2) , (1,4) and (2,6)

We need to determine whether the equation y=2x+2 is a function.

To determine the equation is a function, let us substitute the coordinates in the equation and check whether it satisfies the equation.

Let us substitute the coordinate (-1,0) in the equation y=2x+2

Thus, we have,

0=2(-1)+2

0=-2+2

0=0

Thus, the coordinate (-1,0) satisfies the equation y=2x+2

Substituting the coordinate (0,2) in the equation, we have,

2=2(0)+2

2=2

Thus, the coordinate (0,2) satisfies the equation y=2x+2

Substituting the coordinate (1,4) in the equation y=2x+2

4=2(1)+2

4=4

Thus, the coordinate (1,4) satisfies the equation y=2x+2

Substituting the coordinate (2,6) in the equation, we get,

6=2(2)+2

6=6

Thus, the coordinate (2,6) satisfies the equation y=2x+2

Hence, the coordinates (-1,0), (0,2) , (1,4) and (2,6) satisfies the equation y=2x+2

Thus, the equation y=2x+2 is a function.

6 0
3 years ago
Is this answer right?? If not what’s the real answer? I’m trying to practice for my STAAR.
Ierofanga [76]

35

Area of rectangle

21m^2

Area of one triangle

divide length of 7 by 2 (3.5)

gives you length b (unknown side that is not hypotenuse)

then multiply by width of triangle (4)

3.5 * 4 = 14

and in this situation there is no need to divide by two, because you essentially have one full square from both the triangles. this only works when both triangles are the same.

add the area of the rectangle

14+21= 35

35m^2

8 0
2 years ago
HEEELР ПОЖАЛУЙСТА HELР
seropon [69]

So for question one (about the equilateral triangle), you know any triangle equals 180 degrees. So an equilateral triangle has all equal angles, so 180/3 would equal 60 degrees for each angle.

Now for the first triangle out of the three isosceles.

You should know that there are two equal sides and one side that is not equal in a isosceles triangle.

So if one side is 34 degrees, and the other two are equal, then you first subtract 34 degrees from 180 degrees, because again, all triangles have 180 degrees. So 180-34 would equal to 146 degrees left. Now you divide 146 by two, because the other two angles are equal to each other. So 146/2 = 73 degrees for each of the remaining angles.

For the second triangle out of the three isosceles.

First, let's just calculate half of the triangle first. You already know two angles, 30 and 90 degrees (hence the 90 degree symbol).

So 30 + 90 would equal 120 degrees in total out of 180 degrees (because 1 triangle = 180 degrees).

So if you subtract 180-120 or 120 + ? = 180 to know the remaining angle of the half of the triangle, you would get 60 degrees left. And that also goes with the other side of the top angle of the entire triangle, so your answer for the second one would be 60 degrees. :-)

For the third triangle out of the three isosceles.

You know one angle is 75 degrees.

If you turn your screen a little bit (like about 90 degrees) to the left, you would see that two sides (with the x degree in the middle) is equal. So then know you know the other side of the triangle would also be 75 degrees, because one side that is equal has 75 degrees.

Now you have two 75 degrees, you add 75 + 75, which gives you 150 degrees now.

So obviously again, 180 degrees is the total amount of degrees in a triangle, and you want to know the last degree that would make the triangle equal to 180 degrees out of 150 degrees, so 180-150 or 150 + ? = 180, which gives you 30 degrees for x for the third isosceles triangle.

try doing the fourth one by yourself lol

5 0
3 years ago
PLS SOMEONE HELP ME
garik1379 [7]
Here are your answer's:

Number three would goes with "no relationship"...…
Number one would goes with "<span>causation</span>".....
Number two goes with "correlation"...…

<u>Correlation is the relationship between more than two things which is why it would go with number to because literacy rates go with the increase of doctors. Causation is like a cause and effect so in this case the cause would be a increase of the population and the effect would be more people who don't have jobs. No relationship would go with number three since how snowfall doesn't have anything to do with personal income. (which is how much a person makes) </u>

Hope this helps!
7 0
3 years ago
Selma had 2 L of bottle of water. She drank 450 mL. How much water was left, in milliliters?
Basile [38]

Answer:

The amount of water left is 1550 litres

7 0
3 years ago
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