Last summer, 80 students signed up for a summer trip to Washington, D.C. This summer, 94 students signed up. To the nearest percent, what is the percent change in the number of students who signed up for the trip?​

Answer:

Step-by-step explanation:

5x  + y = 11 -------------------(I)

3x - y = 9 -----------------(II)

Add equation (I) & (II)

   5x + y = 11

   3x - y = 9        {add and y will be eliminated and we'll get the value of x}

  8x       = 20

          x = 20/8

         x = 2.5

Plugin x = 2.5 in equation (I)

5*2.5 + y = 11

 12.5  + y = 11

            y = 11 - 12.5

            y = -1.5

After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .

We have,

[tex]5x + y = 11[/tex]   [tex].......... (i)[/tex]

[tex]3x - y = 9[/tex]   [tex]...........(ii)[/tex]

To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],

[tex]15x + 3y = 33[/tex]   [tex]..........(iii)[/tex]

[tex]15x -5y = 45[/tex]   [tex]..........(iv)[/tex]

Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,

We get,

[tex]8y=-12[/tex]

[tex]y=-\frac{3}{2} =1.5[/tex]

Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,

[tex]5x+(\frac{-3}{2} )=11[/tex]

[tex]x=\frac{5}{2} =2.5[/tex]

So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.

Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].

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I assume you're talking about a fraction,

(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²)

Remember that i ² = -1; from this it follows that

i ³ = i ² × i = -i

i ⁴ = i ³ × i = (-i ) × i = -i ² = -(-1) = 1

i ⁵ = i ⁴ × i = i

i ⁶ = i ⁵ × i = i ² = -1

and so on. In particular, raising i to some integer multiple of 4 reduces to 1.

Using the above pattern, we find

i ²⁰ = 1

i ⁴² = i ⁴⁰ × i ² = 1 × (-1) = -1

i ¹⁰¹ = i ¹⁰⁰ × i = 1 × i = i

So, we have

(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²) = (2 - 1) / (i - (-1)) = 1 / (i + 1)

We can stop here, but usually it's more useful to have complex numbers written in standard a + bi form. To get this result, multiply the numerator and denominator by the complex conjugate of i + 1:

(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²) = 1 / (i + 1) × (-i + 1) / (-i + 1)

… = (-i + 1) / (-i ² + 1²)

… = (-i + 1) / (-(-1) + 1)

… = (1 - i ) / 2

or equivalently,

… = 1/2 - 1/2 i

Answer:

Step-by-step explanation:

since the absolute values do not apply to positive numbers because the absolute value of say 5 is still five. But the absolute value of -5 is 5.

the absolute value of 1 is 1.

so it is 1 unit above sea level

|_._._._._._._._._._._._|

-5,-4,-3,-2,-1,0,1,2,3,4,5

                       ^

                       ||

Answer:

If on a number line, to the right of zero but if not and you're trying to oppose it, it's -1.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Hope this helps

Answer:

Domain: x>=-5

Range: y>=-6

Step-by-step explanation:

Answer:

gds

Step-by-step explanation:

hgfdz

b

Answer:

39

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

the answer is going up by the numbers 1,2,3,4...

you start with 4 and go up by 2

you then get 6 that's when you count up 3

you get 9 and then count up 4

which is 13 count up 5

18 count up 6

24 count up 7

31 count up 8

39

Answer:

33.33333

Step-by-step explanation:

You really don't know what they could've ordered, just divide by 3, to get an average of each.

Answer:

C

Step-by-step explanation:

Answer:

243,000

Step-by-step explanation:

(2.7×10^-3) ÷ (9×10^7) | Given (thanks for proper formatting :')

(2.7 × 0.001) ÷ (9 × 10,000,000) | Start with exponents

0.0027 ÷ 90,000,000 | Multiply what's in the parenthesis

243,000 | Divide these numbers

Answer:

f(x) = (x + 1)(x + 2)

Step-by-step explanation:

Zero x = -1 corresponds to factor x + 1, and zero x = -2 to x + 2.  Thus, the quadratic in question is

f(x) = (x + 1)(x + 2)

Answer:

28

Step-by-step explanation:

1.54 divided by 0.055 = 28

answer:

the 1st hour is 14 euros and each hour after that is 2 euros

step-by-step explanation:

so usually when renting something there is an upfront fee you have to pay first. in this case, that fee is 14 euros. now, sometimes you also have to pay a relatively small amount of money for each hour you're using it, in your case that is the 2 euros.

good luck :)

hopefully, this helps

have a great day !!

Answer:

The first hour is 14 euros and each hour after that is 2 euros.

Step-by-step explanation:

I hope I get brainliest. I answered without looking at the other person's answer. I just want to help.

Answer:

2688

Step-by-step explanation:

Answer:

The answer is - 2688

Step-by-step explanation:

24×112=2688

Answer:

Where is the image? I did something like this so if you are looking for that answer they are both the first one.

1440 divided by 120 = 12 pen stands

hope it helps:))

Answer:

1:24

Step-by-step explanation:

Convert inches to feet, 7.25 inches is 0.604 feet.

0.604:14.5 needs to become 1:something, so set up 0.604/14.5 = 1/x

Solve for x now by dividing 14.5 by 0.604. You get 24 for x, so the answer is 1:24 scale!

Answer: x = 0

is basically

Answer:

Step-by-step explanation:

To find the perimeter of Δ XYZ when its longest side is 20, you can set up proportions to find the lengths of the sides, since the sides of similar triangles

Answer:

XZ = 6

Perimeter = 18

Step-by-step explanation:

8/4 = 12/XZ

8XZ = 48

XZ = 6

XY = 8

Perimeter = 18

(The two triangles are not to scale. The one on the right is drawn twice the size of the one on the left but actually is just half it's size.)

Also, the order of the letters in the congruency statement (triangle ABC is congruent to triangle XYZ) is important. If they had stated that triangle ABC is congruent to triangle ZYX, the relationship would not be 4/8 but 4/16. This would have resulted in entirely different answers. Instead of triangle XYZ being 1/2 the size of ABC, it would have been 1/4 it's size.

Answer: 26

Step-by-step explanation:

Answer:

B is the correct

Step-by-step explanation:

choose as brinliest

Answer:

x=6√3

Step-by-step explanation:

I hope this helps.

Answer:

use trigonometric ratios. I think you use tan whereby tan is opposite over adjacent. the opposite side is X and the adjacent side is 6 . we looking for X you gonna calculate

X=6tan60

=6√3

Answer:

1.25in/25mi = x/75mi

25x = 93.75

x = 3.75

3.75 inches

Answer:

definitions

Step-by-step explanation:

central angle

interior angle

diameter

chord

tangent

arc