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Nikolay [14]
3 years ago
5

3. In class today, 1/4 of the students wore shorts and

Mathematics
2 answers:
Mkey [24]3 years ago
4 0

Answer:

A. \frac{1}{4} = \frac{3}{12}

Step-by-step explanation:

\frac{1}{4} of the students wore shorts.

\frac{3}{12} of the students wore jeans.

Converting the fractions of the students who wore shorts and jeans respectively;

\frac{1}{4} = 0.25

\frac{3}{12} = 0.25

This means that the ratio of students who wore shorts is the same as that of students who wore jeans.

i.e \frac{1}{4} = \frac{3}{12}

motikmotik3 years ago
3 0

Answer:

A. \frac{1}{4} =\frac{3}{12}

Step-by-step explanation:

This is a case of equivalent fractions  which means that the fractions represent the same amount.

Why are they the same?  Because when you multiply or divide the same number up and down simultaneously, the fraction maintains its value. The rule to remember is:

What you do to the top of the fraction

you also have to do it to the bottom part!

Therefore, these fractions are actually the same:

\frac{1}{4} x\frac{3}{3}=\frac{3}{12}

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If I throw a die, find the probability of throwing an odd number or a number less than 3.
Annette [7]
If you throw a die, this is what you could get:

1, 2, 3, 4, 5 or 6.

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

Odd Numbers: 1, 3, 5

Numbers less than Three: 1, 2

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

Possibility of getting 1, 2, 3 or 5:

4/6 which translates into 2/3.

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

Answer:

2/3
5 0
3 years ago
Hey guys i really need help pls dont waste the points i actually want help to understand how to solve equations like:
tamaranim1 [39]

Answer:

your question is unclear

Step-by-step explanation:

x+2y=4

-x -x

2y=4-x

divide by 2 to get y by it's self

y=2-(1/2x)

x+2y=4

-2y -2y

x=4-2y

i don't know if u want me to help u with the second one but i did it the first one

3 0
3 years ago
Find the exact length of the third side
Daniel [21]

Answer:

√23

Step-by-step explanation:

When you are given two side lengths of a right triangle, you use the Pythagorean theorem to find the third side: a² + b² = c², where c is the hypotenuse (the longest side).

All you have to do is plug the given information in:

Remember, 13 is the hypotenuse for this triangle.

12² + b² = 13²

Simplify:

144 + b² = 169

Subtract 144 from both sides:

b² = 169-144

b² = 23

Square root both sides:

b = √23

And that's your answer!

7 0
3 years ago
A is the point (-2, 0) and B is the point (0, 4).Find the equation of the straight line joining A and B.
Rus_ich [418]

Answer:

y = 2*x + 4

Step-by-step explanation:

We know that a linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

So, here we know that our line must pass through the points (-2,0) and (0, 4)

Then the slope of this line is:

a = (4 - 0)/(0 - (-2))

a = 4/2 = 2

Then our line is something like:

y = 2*x + b

Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.

0 = 2*(-2) + b

0 = -4 + b

4 = b

Then the equation for our line is:

y = 2*x + 4

6 0
3 years ago
Determine the vertex of the function f(x) = 2(x - 5)2 + 8.
Pachacha [2.7K]
Solve for x, which can be done by moving x to the other side.
2(x-5)^2+8

So, x = 5

The y value is the number at the end and we can see that it is positive 8.

y = 8

Write it out as a coordinate pair and you would get (5,8) or answer choice D
8 0
4 years ago
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