what is the ratio for 18 goldfish in a tank of 48 fish simplify the answer please I will give you brainliest

Answer:

A

Step-by-step explanation:

We are given two functions:

[tex]\displaystyle f(x)=\frac{x-16}{x^2+6x-40}\text{ and } g(x)=\frac{1}{x+10}[/tex]

And we want to find:

[tex]f(x)+g(x)[/tex]

Thus:

[tex]\displaystyle =\frac{x-16}{x^2+6x-40}+\frac{1}{x+10}[/tex]

We can factor the denominator of the first term:

[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}[/tex]

In order to add the two terms, we must have a common denominator. To achieve this, we can multiply to second term by (x - 4). Therefore:

[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}\Big(\frac{x-4}{x-4}\Big)[/tex]

Multiply:

[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{x-4}{(x+10)(x-4)}[/tex]

Combine:

[tex]\displaystyle =\frac{(x-16)+(x-4)}{(x+10)(x-4)}[/tex]

Simplify:

[tex]\displaystyle =\frac{2x-20}{(x+10)(x-4)}[/tex]

We can expand the denominator:

[tex]\displaystyle =\frac{2x-20}{x^2+6x-40}[/tex]

Therefore, our answer is A.

Answer:

A

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. However, I will solve using the following assumptions.

Job A:

[tex]y = 2x + 5[/tex]

Job B

[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {6} & {10} & {14} & {18} & {22} \ \end{array}[/tex]

The first step is to calculate the rate of Job B using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (1,6)[/tex]

[tex](x_2,y_2) = (2,10)[/tex]

So, we have:

[tex]m = \frac{10 - 6}{2 - 1}[/tex]

[tex]m = \frac{4}{1}[/tex]

[tex]m = 4[/tex]

So, the hourly rate of job B is $4/hr

For Job A:

[tex]y = 2x + 5[/tex]

A linear equation has the form:

[tex]y = mx + b[/tex]

Where m is the rate

By comparison:

[tex]m = 2[/tex]

So, the hourly rate of Job A is $2/hr

Comparing both rates, we can draw the following conclusions;

Answer:

11.3(7)+10.7(8)=79.1+85.6

=164.7

Answer:

21.5 feet.

Step-by-step explanation:

Calculate the length of a curved edge.

s =  

m

360

  · 2πr Use the formula for arc length.

=  

90

360

  · 2π(3) Substitute 3 for r and 90 for m.

= 1.5π Simplify.

Let t be the length of the cut encompassing the tray.

t = 2 · 1.5π + 2 · 6

= 3π + 12 Simplify.

≈ 21.5 ft Use a calculator to evaluate. Then round your answer to the nearest half foot.

The length of the cut encompassing the tray is 21.5 feet.

Answer:

C would be your answer

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

x * 3 = 6 → is your equation to solve for x

x = [tex]\frac{6}{3}[/tex]

x = 2

Answer:

5/6= 10/12

12/100<10/12

Answer:

y = 1500(1.079)^t

Step-by-step explanation:

Here, we want to write an exponential function

Mathematically, we have this generally as;

FV = IV( 1 + r)^t

where FV is future value which is y in this case

IV is the initial value which is 1,500 kn^2 in this case

r is the rate of change which is 7.9%

7.9/100 = 0.079

t is the time difference

so we have the equation as;

y = 1500(1 + 0.079)^t

y = 1500(1.079)^t

Answer:      they drove 27 miles+ and walked 8 miles

Step-by-step explanation:

Answer:

D and e

Step-by-step explanation:

Answer:

x= 1.25    y = 1.75

Step-by-step explanation:

8/5 = 10/ (5+x)

Cross multiplucation

 8(5+x) = 5x10

40 + 8x = 50

8x = 10

x = 1.25

          8/7  =  10/ (7+y)

           Cross multiplication

        8(7+y) = 10x7

          56+8y = 70

          8y =  14

             y = 1.75

Answer:

Y: 145

X: 35

Hope I was able to help you, have a wonderful day!

Answer:

8(3j-2) and 4(6j−4)

there you go!!

Answer:

11

Step-by-step explanation:

The height is 11 inches.

Answer:

y = -3x + 5

Step-by-step explanation:

To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=-3x + 5 tells us that the slope of the line is -3 and the y-intercept is at (0,5). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

Answer:

The length of the model is 250% of the width and is 60 centimeters, and the width of the actual phone is 6 so it has a scale factor of 4:1.

Hope this helps!

Answer:

x=12

Step-by-step explanation:

We know that a right angle is 90 degrees. So we can make the equation [tex]35+4x+7=90.[/tex] Now, we can solve fore X! We can combine 35 and 7 to make the equation [tex]4x+42=90[/tex]. In order to isolate x we have to subtract 42 from both sides, getting us the equation [tex]4x=48.[/tex] Now, in order to isolate x we must divide each side by 4, getting us the equation [tex]12=x[/tex].  To prove that x=12, we can subsitute x for 12.  This means that we can do [tex]35+4(12)+7=90. Or, 35+48+7 =90,[/tex] which simplified, is 90=90, making x=12 true. Hope this helps :)

Answer:

B'C' = 2 units

Step-by-step explanation:

The dilation performed makes ∆A'B'C' (sketched flag) similar to ∆ABC (actual flag).

Given that, A'B' = 8 units, AB = 24 ft, and BC = 6 ft, therefore:

A'B'/AB = B'C'/BC

Substitute

8/24 = B'C'/6

Cross multiply

24*B'C' = 8*6

24*B'C' = 48

B'C' = 48/24

B'C' = 2 units

I think the inequality is less than or equal to (here what the sign looks like ≤ )

Answer:

Step-by-step explanation:

sin Ф equal the opposite leg of the triangle dividend by the hypotenuse

sin Ф = opp / hyp

the problem gave you the Ф (the angle 7°)

and the length of the hypotenuse (the walking surface 60 inches)  

You want to use the inches since the question wants to know how many inches off the floor is the end of the walking surface

sin 7 = opp / 60          solve for opp

60 × sin(7) = opp             use your calculator,   I don't have one handy

Answer:

The multiplication of 5(6) and 5(3) will each be done before you add.

5(6) + 5(3) = 30 + 15 = 45. Note that the answer is the same as before.

Step-by-step explanation:

hope this helps...

have a nice weekend ヽ(ヅ)ノ

oh and if i was supposed to follow something sorry cuz i can't see the pic...

Answer:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

x-intercept(s): (18,0)

y-intercept(s): (0,-3)

Step-by-step explanation:

I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions! -KaraYeaton18

Answer:

x=11

Step-by-step explanation:

step 1- add 6 to both sides

2x-6+6=16+6

step 2- divide both side by 2

2x/2 22/2

x=11

I suggest using a calculator called Math Papa that's what I use for equations

Answer:

the two numbers are -5 and 1

Step-by-step explanation:

Let x and y be the first number and second number respectively.

According to the question, we can find 2 equations:

2x + 5y = -5

3x + 10y = -5

On solving,

x = -5

y = 1

Answer:

X=-5,Y=1

Step-by-step explanation:

First equation: 2X+5Y=-5

Second equation:3X+10Y=-5

If we subtract the first from the second equation

(3X+10Y)-(2X+5Y)= 0 so, X+5Y= 0

So X= -5Y .then substitute in the second equation

So ,3(-5Y)+10Y= -5 , therefore -15Y + 10Y=-5 so, -5Y=-5 which means that Y=1

Then substitute with that in the first equation so 2X+5= -5

2X= -10 therefore X=-5

Answer:

Step-by-step explanation:

Insert x for -2 & 4 and y for 1 & 4

1=-2m+c, 4=4m+c

solve the equation, m=1/2, c=2

Answer:

y = 1/2m + 2

Step-by-step explanation:

1 = -2m + c (1)

4 = 4m + c (2)

 2 = -4m + 2c (1*)

(1*) + (2) =  6 = 3c

                 c = 2

y = mx + 2

4 = 4m + 2

2 = 4m

m = 1/2

so y = 1/2m + 2

Answer:

[tex]30^{\circ}\text{C}[/tex]

Step-by-step explanation:

The temperature that Aaron saw was [tex]86^{\circ}\text{F}[/tex]

The formula to convert Fahrenheit to Celsius is

[tex]C=\dfrac{5]{9}(F-32)[/tex]

[tex]\Rightarrow C=\dfrac{5}{9}\times (86-32)[/tex]

[tex]\Rightarrow C=30^{\circ}\text{C}[/tex]

The given temperature in Celsius that Aaron found would be [tex]30^{\circ}\text{C}[/tex].