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3 years ago

Help!!! Taking a math test!!!

Mathematics

1 answer:

Whitepunk [10]3 years ago

7 0

x=6

both sides seem the same size, so, we need to find something that equals 24. 3 (x+2). if you add 6 and 2 you get 8. 3x8= 24.

Hope this helps!

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Find the prime factorization of the following number. 110

Andrew [12]

Answer:

{2, 5, 11}

Step-by-step explanation:

First, 110 = 2 * 55

Next, 55 = 5 * 11

Thus, the prime factors of 110 are {2, 5, 11}

4 0

2 years ago

What is cos(45°)?

Andrej [43]

Answer:

$\rm \dfrac{\sqrt2}{2}$

Step-by-step explanation:

A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,

$\rm\implies cos\theta =\dfrac{base}{hypotenuse}$

In the given triangle ,

Value of base = 1
Value of hypotenuse = √2

On substituting the respective values ,

$\rm\implies cos45^\circ =\dfrac{1}{\sqrt2}$

For rationalizing the denominator , multiply numerator and denominator by √2 , we have,

$\rm\implies cos45^\circ=\dfrac{1(\sqrt2)}{(\sqrt2)(\sqrt2)}$

Simplify ,

$\rm\implies \boxed{\pink{\frak{ cos45^\circ=\dfrac{\sqrt2}{2} }}}$

6 0

3 years ago

The movie theater charges $4 for children, $6 for adults, and $5 for seniors. A group of 14 people decide to go to the movies. T

MaRussiya [10]

Answer:

Adults=8

Childrens=2

Seniors=2

Step-by-step explanation:

Children $4

Adults $6

Seniors $5

There are an equal number of seniors and children.

The entire group spent a total of $66.

If 11 adults attended, the total amount will be $66 and the number of senior and childrens will be the same, 0. But this is not possible because the statement says that childrens and seniors are part of the group.

If we add the charges of childrens and seniors is equal to $9.

Assuming that the group has 2 childrens and 2 seniors the add is equal to:

$(2*5)+(2*4)= 18$

Now we substract the result from the total amount:

$66-18=48$

48 is multiple of 6, this means we have in the group 8 adults, 2 childrens and 2 seniors.

4 0

3 years ago

Comparing fractions 1/3 to 2/3

vivado [14]

When you say comparing do you mean dividing or just comparing

4 0

3 years ago

Read 2 more answers

The system has

vladimir2022 [97]

Answer:

One solution

Step-by-step explanation:

In this graph, the two lines only intersect once, meaning there is only one solution. If they intersect twice, then there are two solutions. If the two lines are parallel, there are no solutions. If the lines are the same, there are an infinite amount of solutions.

7 0

2 years ago