Question 12: 5 pts
At a summer camp there is one counselor for every 9 campers. Write a direct variation equation for the number
of campers, y, that there are for x counselors. Then graph.

Answer:

x =23

Step-by-step explanation:

ok first, the full degree of a straight line is 180°

subtract 38° out of 180°

180-38= 142

so 6x+4= 142°

subtract 4 from both sides of the equation

6x +4 -4= 142-4

6x=138

divide 6 from 6x and 138

x=23

Answer:

property of equality that justifies the missing step is Division property of equality

Step-by-step explanation:

We need to Identify the property of equality that justifies the missing step

[tex]28=4x-8\\28+8=4x\\36=4x[/tex]

Now, we divide both sides by 4 using division property of equality as it states that [tex]\frac{a}{c}=\frac{b}{c}[/tex]

[tex]\frac{36}{4}=\frac{4x}{4}\\9=x[/tex]

So, The property of equality that justifies the missing step is Division property of equality

Answer:

X:1 2 3 4 5 Y:7 11 15 19 23.

Step-by-step explanation:

We just need to put in the values of x into the equation: y = 4x + 3.

x = 1:

y = 4(1) + 3

  = 4 + 3

y = 7

x = 2:

y = 4(2) + 3

  = 8 + 3

y = 11

x = 3:

y = 4(3) + 3

  = 12 + 3

y = 15

x = 4:

y = 4(4) + 3

  = 16 + 3

y = 19

x = 5:

y = 4(5) + 3

  = 20 + 3

y = 23

The CD will earn $459.375 interest in 30 months and the balance at maturity will be $10,959.375.

Here, we are given that Ralph deposited $10,500 in an CD account that pays 1.75% simple interest for 30 months.

Simple interest can be calculated using the following formula-

Simple interest = Principle(P) × Time(t) × Rate(r)/ 100

Here,

P = 10,500

t = 30/12

r = 1.75

Thus,

Simple interest = 10,500 × 30/12 × 1.75/ 100

= 10,500 × 5/2 × 175/ 10000

= 10,500 × 5/2 × 7/ 400

= 26,250 × 7/ 400

= $459.375

Thus, the CD will earn $459.375 interest in 30 months.

Balance on maturity will be-

$10,500+ $459.375 = 10,959.375

Thus, the balance at maturity will be $10,959.375.

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The percentage of the surface light :

[tex]\frac{I}{I_0} \times 100=27.25 \%[/tex]

[tex]$\frac{I}{I_0} \times 100=7.43 \%$[/tex]

This is further explained below.

Generally, the equation for is  mathematically given as

We have; the intensity of light d ft below the surface given by

I=I_0 [tex]e^{-0.26 d}[/tex]

Where; I_0= Intensity of the light at the surface.

d= depth (in feet).

A)

d=5 \mathrm{ft}:

[tex]\quad I=I_0 \cdot e^{-0.26 \times 5} \\\\I=I_0 \times e^{-1 \cdot 30}$[/tex]

[tex]$\left(\frac{I}{I_0}\right)=e^{-1.30}=0.27253[/tex]

In of form:

[tex]\frac{I}{I_0} \times 100=27.25 \%[/tex]

b)

[tex]$d=10 \mathrm{ft}:[/tex]

[tex]\quad \mathrm{J}=\mathrm{I}_0 e^{-0.26 \times 10}\\\\=I_0 e^{-2.60}$[/tex]

[tex]$\left(\frac{I}{I_0}\right)[/tex]=e^{-2.60}

[tex]$\left(\frac{I}{I_0}\right)[/tex]=0.07427

In form: [tex]$\frac{I}{I_0} \times 100=7.43 \%$[/tex]

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CQ

Marine life is dependent upon the microscopic plant life that exists in the photic zone, a zone that goes to a depth where about 1% of the surface light remains. In some waters with a great deal of sediment, the photic zone may go down only 15 or 20 feet. In some murky harbors, the intensity of light d feet below the surface is given by I=Ioe^-0.26d,Where Io is the intensity of light at the surface. What percentage of the surface light will reach a depth of (A) 5 feet? (B) 10 feet?

Answer:

I believe you cancel out values if there are the same ones for the numerator and dominator.

For example:

[tex]\frac{x^4+x^2+x-3}{x^4+x^3-3}[/tex]

Since both the numerator and dominator have [tex]x^4[/tex] and -3, you are able to cancel them out.

This would leave you with [tex]\frac{x^2+x}{x^3}[/tex]

Notes: the exponents have to be the same number in order to cancel out the values.

Answer:

  11.  C) x +1

  12.  B) x -1

Step-by-step explanation:

You want the simplified form of a couple given rational expressions.

Each of the polynomials can be factored by pairs. Common factors can be cancelled.

Factoring numerator and denominator pairwise, we have ...

  [tex]\dfrac{x^3+2x^2-x-2}{x^2+2x-x-2}=\dfrac{x^2(x+2)-1(x+2)}{x(x+2)-1(x+2)}=\dfrac{(x^2-1)(x+2)}{(x-1)(x+2)}\\\\=\dfrac{x^2-1}{x-1}=\dfrac{(x+1)(x-1)}{(x-1)}=\boxed{x+1}[/tex]

Factoring the numerator pairwise,, we have ...

  [tex]\dfrac{x^5-x^4+x^3-x^2+x-1}{x^4+x^2+1}=\dfrac{x^4(x-1)+x^2(x-1)+1(x-1)}{x^4+x^2+1}\\\\=\dfrac{(x^4+x^2+1)(x-1)}{(x^4+x^2+1)}=\boxed{x-1}[/tex]

Answer:−589.86

Step-by-step explanation:

let unknown number be x

Solve for x

655.4+x=65.54

Subtract 655.4 from both sides.

x=65.54−655.4

Subtract 655.4 from 65.54 to get −589.86.

x=−589.86

Answer:48

Step-by-step explanation:

Answer:

4.

.....................

Answer: Option 4

Step-by-step explanation:

2x+5y=20

5y=-2x+20

y=-2x/5 + 4 ==> y-int: (0, 4) ==> Option 4

[tex] \Large{\boxed{\sf x = 4}} [/tex]

[tex] \\ [/tex]

Solving this equation means finding the value of 'x' that makes the equality true.

[tex] \\ [/tex]

Given equation:

[tex] \sf -12 + 5x - x = x - 7 + 7 [/tex]

[tex] \\ [/tex]

Combine like terms:

[tex] \sf -12 + (5x - x) = x + (-7 + 7) \\ \\ \sf -12 + 4x = x [/tex]

[tex] \\ [/tex]

Now, we move the variables to the right side of the equation by subtracting 4x from both sides:

[tex] \sf -12 + 4x - 4x = x - 4x \\ \\ \sf -12 = -3x [/tex]

[tex] \\ [/tex]

Finally, divide both sides of the equation by the coefficient of the variable, -3:

[tex] \sf \dfrac{-12}{-3} = \dfrac{-3x}{-3} \\ \\ \\ \boxed{\boxed{\sf x = 4}} [/tex]

[tex] \\ \\ [/tex]

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Answer: The answer is everytime you mutiply in by 0.6

Step-by-step explanation:

Answer:

AD = 100

Step-by-step explanation:

50/cos60 = 100

Answer:

of course

Step-by-step explanation:

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

Answer:

-2 3/4

Step-by-step explanation:

i gotchu

Answer:

we can't see the words clearly

Step-by-step explanation:

Answer:

Answer is 261

Step-by-step explanation:

You have to plug in the number into the variable.

* 3(-3-6)^2 -(-3) (6)

> 3(-9)^2 +3 (6)

> 3(81) + 18

> 243 + 18

> 261

I hope this is the right answer.

Answer:

1 / 3 is the answer

hope this answer will help you.

have a great time

Answer:

1/3

Step-by-step explanation:It's pretty easy, if you look, there is only three(3)

boxes, and one of them is shaded. Soo, you can do that you can solve this question!!!

Answer:

both equations are the same

Step-by-step explanation:

please look at the images

The value of x = 2, the length of AB is 13 and BC is 8.

A, B and C are collinear with point B between points A and C.

   A___________.__________C

                             B

AC = 21 , AB = 15 -x and BC = 4 + 2x

As the point, B is the mid-point of the line AC

Therefore we get

AC = AB + BC

AC = 2AB = 2BC

Therefore we get

AC = AB + BC

21 = 15 -x + 4 + 2x

21 = 19 + x

x = 2

As AB = 15 - x

Now put the value of x in the equation, by putting the value of x = 2.

AB = 15 - 2

    = 13

BC = 4 + 2x

     = 4 + 2×2

     = 4 + 4

     = 8

Therefore the value of x = 2, and the length of AB = 13 and BC = 8.

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Answer:

Step-by-step explanation:

25.

x + 2x -75 = 90

3x = 90+75

3x = 165

x = 55

Measure of A = 55

Measure of B = 2(55) - 75 = 110 - 75 = 35

28.

2x+10-x+55 = 90

x = 90-65

x = 25

measure of A = 2(25) +10 = 60

measure of B = -25+55 = 30

31.

2x+3+3x - 223 = 180

5x -220 = 180

5x = 400

x = 80

measure of A = 163

measure of B = 17

32.

-4x+40+x+50 = 180

-3x +90 = 180

-3x = 90

x= -30

measure of A = -4(-30) +40 = 160

measure of B = -30+50 = 20

Answer:

See below

Step-by-step explanation:

Anything with an ODD number of negatives  makes a negative

A   TWO negatives <<<<nope

B   two negatives

C    FIVE negatives   <<<<< yep

D    Three negatives  <<<<<< yep

E     Four negatives <<<<< nope

Remember ....a negative sign in front

                            - (6)(-4)(3)       is just like  (-1)(6)(-4)(3)

Answer:

Do you have any numbers?

Answer:

i think -50

Step-by-step explanation:

im not 100% sure tho

Answer:

approximately glof glorf hundred

Step-by-step explanation:

if u subtract eighty from gloof glife you get glof glorf hundred

Step-by-step explanation:

There are 11 prime numbers : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

Answer:

Decimal: -0.5

Fraction: - 1/2

Step-by-step explanation:

Answer:

There are 12 combinations.

Step-by-step explanation:

Options:

1. Silver or Leather

2. Cat or Dog

3. Basketball, baseball, or soccer

Now we need to multiply the options together, so 2 × 2 × 3 = 12.

Answer:

SAS Translation

Step-by-step explanation:

The triangle just moved over, it didn't rotate or flip.