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Answer:

x = 49

Step-by-step explanation:

Given

[tex]\frac{x-16}{x+6}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

5(x - 16) = 3(x + 6) ← distribute parenthesis on both sides

5x - 80 = 3x + 18 ( subtract 3x from both sides )

2x - 80 = 18 ( add 80 to both sides )

2x = 98 ( divide both sides by 2 )

x = 49

Answer:

x = - 49

Step-by-step explanation:

Solve for X by cross multiplying.

Answer:

3x^2+8x-3

Step-by-step explanation:

(x+3)(3x-1)

x*3x + x*(-1) + 3x*3 + 3*(-1)

x*3x = 3x^2

x*(-1) + 3x*3 = -x+9x = 8x

3*(-1) = -3

= 3x^2+8x-3

The expression for the trinomial ( x + 3 ) ( 3x - 1 ) is  [tex]3x^{2} + 8x - 3[/tex]

Given data:

The expression is represented as (x + 3)(3x - 1)

To express the product of (x + 3)(3x - 1) as a trinomial, perform the multiplication.

Using the FOIL method (First, Outer, Inner, Last), we multiply the terms:

(x + 3)(3x - 1) = x(3x) + x(-1) + 3(3x) + 3(-1)

Simplifying further:

[tex]3x^{2} - x + 9x - 3[/tex]

Combining like terms:

[tex]3x^{2} + 8x - 3[/tex]

Hence, the expression (x + 3)(3x - 1) can be expressed as the trinomial [tex]3x^{2} + 8x - 3[/tex] .

To learn more about polynomial equations, refer:

https://brainly.com/question/13199883

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Answer:

Multiplication

Step-by-step explanation:

3r means 3 times R. We don't write it just like we don't write 1.0 for 1 or 1.000... A number in front of a variable means that number times that variable.

Hope this helps! <3

Step-by-step explanation:

well if there were 5 white the probability is 5/9 vs 4/9 for red. so the number of white balls is anything greater than or equal to 5

Answer:

its 0.13

Step-by-step explanation: plz mark brainliest

Answer:

0.1333333

Step-by-step explanation:

Answer: The flower grew  0.88 inches during the week

Step-by-step explanation:

Height of flower in the previous week = 3.25 inches

Height of flower the next week = 4.125inches

height the flower added during the week = 4.125 inches - 3.25inches

=0.875 inches

Rounding to the nearest hundredths becomes 0.88 inches

9514 1404 393

Answer:

  neither; they are the same distance from the line

Step-by-step explanation:

The distance of point (x, y) from line ax+by+c=0 is given by ...

  d = |ax +by +c|/(√a² +b²)

Since we're using the same line for both points, we only need to evaluate ...

  d = |ax +by +c|

Subtracting y can put the equation in the desired form:

  1/2x -y +4 = 0

__

For point A, the expression of interest evaluates to ...

  |(1/2)(-2) -(6) +4| = |-1-6+4| = 3

For point B, the expression of interest evaluates to ...

  |(1/2)(4) -(3) +4| = |2-3+4| = 3

These values tell us the points are the same distance from the line.

_____

The attached graph shows that circles of the same radius centered on A and B are both tangent to the line. Hence the distances are the same.

Answer:

2.29*20 = 45.80 and 3.49*35 = 122.15.

Step-by-step explanation:

Answer:

13ft

Step-by-step explanation:

35-22=13

============================================================

Explanation:

Let's consider the tank's full capacity is 240 gallons. I'm picking this number because 12*20 = 240.

If the tank is 240 gallons, then the inlet pipe can fill it at a rate of 240/12 = 20 gallons per hour. Note after 12 hours, we have 12*20 = 240 gallons filled assuming the outlet pipe is sealed shut.

At the same time, the outlet pipe is draining at a rate of 240/20 = 12 gallons per hour. After 20 hours, the outlet pipe would drain out 12*20 = 240 gallons assuming the inlet pipe is not adding any water.

With the two pipes playing this tug-of-war battle, the inlet pipe ultimately wins because it's adding more gallons of water each hour, compared to the amount drained per hour. The net change is +20-12 = 8 gallons per hour.

This means it will take 240/8 = 30 hours to fill the tank with both pipes open.

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

Another approach:

The inlet pipe can fill the tank in 12 hours, so it gets 1/12 of the job done per hour. The outlet pipe drains the tank in 20 hours, so it gets 1/20 of the job done in one hour.

The net change is 1/12 - 1/20 = 5/60 - 3/60 = 2/60 = 1/30

This means that when both pipes are open, 1/30 of the job is done per hour. By "job", I mean "filling the tank".

If x is the number of hours needed to do one full job, then we can multiply that by the unit rate (1/30) and set the result equal to 1

(rate)*(time) = 1 job

(1/30)*x = 1

x = 30*1

x = 30

It takes 30 hours to do the job with both pipes open.

Answer:

b-13=41

Step-by-step explanation:

Let b stand for the total number of minutes he practiced for. Subtracting 13 from it gets us Ashley's 41, so the equation can be b-13=41.

Answer:

Kindly check explanation

Step-by-step explanation:

A common problem with most research designs is bias, which could be introduced win several ways one if which is the favored selection of certain variables rather than being randomized. In the scenario above, the sampling time frame introduces a bias into the design as the tune span of pesticide use does not allay with that of the exposure history of the respondent. Therefore an entire lifetime evaluation of one variable and just 20 years evaluation of the other introduces a sampling bias into the research design. Similarly, evaluation the type of pesticide usage over certain time period may need to be considered as the effect of very old pesticides may differ from those used very recently.

Answer:

x^14

Step-by-step explanation:

[tex]x^{5}*x^{9}=x^{(5+9)}=x^{14}[/tex]

Answer:

x^14

Step-by-step explanation:

Use the power rule a^m a^n=a^m+n  

x^5+9

add 5 and 9

x^14

Step-by-step explanation:

slope-intercept form : y = mx + b

m = slope

b = y intercept

y = -5x +8

Multiply out the things in the brackets.

3+7(x+5)=2x+16

3+7x+35=2x+16

Bring the x's over to one side and the numbers to the other side.

7x-2x=16-35-3

5x= -22

Answer:

this is the answer of the required questions

thank you

please Mark this as brainlist answer

Answer:

15m below sea level

Step-by-step explanation:

Given data

Distance of eagle from sea= 20m

Distance of fish from eagle = 35m

Required

The distance of the fish from below the sea level

= 35-20

= 15m

Hence the fish is 15m below sea level

Answer:

option d.

(9,-2)

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

Answer:

The location is -2, 9 or another words A

Answer:

She is so adorable

Step-by-step explanation:

Very adorable doggo

Answer:

She's adorable!! What type of dog is she?

Step-by-step explanation:

I have two rottweilers and I love them sooooo much <3

Answer:

=13+2-+3=12 that what I take as a answer

Answer:

12=6

Step-by-step explanation:

well i evaluated it, snd thats what i got

Answer:

18.91 cm

Step-by-step explanation:

Let x represent the height of the flag pole

Tan= opposite/ adjacent

Tan 42°= x/21

x= Tan 42° × 21

= 0.9004 × 21

= 18.91 cm

Hence the height is 18.91 cm

Answer:

IPS!!!! I am supposed to be OFF my COMPUTER by now!!!!  

But, since you are one of my favorites.... I will do this one last thing for you this evening!  

You're welcome!  

You are doing a fantastic job in your courses by the way!  I'm proud of you!

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

The formula for finding the slope of a line is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. We can take any two points given to us from the table and plug them into that expression. For example, we can use the points (0,0) and (2,-8).

[tex]\frac{y_2-y_1}{x_2-x_1}\\= \frac{-8-0}{2-0}\\= \frac{-8}{2}[/tex]

Simplify the fraction

[tex]= -4[/tex]

Therefore, the slope of the line is equal to -4.

I hope this helps!

Answer:

x=3.75

Step-by-step explanation:

-3/4x=-5

x-3    x-3

4x=15

/4   /4

x=3.75

Answer:

x = 3.75

Step-by-step explanation:

-3/4x = -5

(-3/4) -3/4x = -5(-3/4)

x = 3.75

Answer:

an=a1+(n-1)*-6

Step-by-step explanation:

a1= 3

the recursive formula is an= a1+ (n-1)d

d= how you get from one to the other

to get from 3 to -18 you could either subtract 21 or multiply it by -6

to find which one you have to look at the next number which is 108

to get from -18 to 108 you would either add 126 or multiply it by -6

since multiplying by -6 is in both that is the answer

d= -6

an=a1+(n-1)*-6

Step-by-step explanation:

a. 180=3x+28+5x+52+2x-10

180=10x+70

110=10x

11=x

b. C= 2[11]-10

=22-10

=12