Question in the picture

1/8k + 80 = 1/2k + 120

Step 1: Subtract 1/2k from both sides.

1/8k + 80 - 1/2k = 1/2k + 120 - 1/2k

-3/8k + 80 = 120

Step 2: Subtract 80 from both sides.

-3/8k + 80 - 80 = 120 - 80

-3/8k = 40

Step 3: Multiply both sides by 8/(-3).

(8/-3) x (-3/8k) = (8/-3) x (40)

Answer: k = -320/3 or −106.667

Answer:

Things like:

2/9 + 7/9  = 9/9 = 1

3/4 + 1/4 = 4/4 = 1

If the number is the same for the numerator and denominator it adds up to 1.

More examples:

6/10 + 4/10 = 10/10 = 1

9/15 + 6/15 = 15/15 = 1

Answer:

100

Step-by-step explanation:

Answer:

h(2x-3) = 6X - 5

Step-by-step explanation:

So, the required function is  [tex]h(2x-3)=6x-5[/tex]

Mapping:

A mapping diagram is an image of two circles that shows the relationship between the input and output values.

Given function is,

[tex]h(x)=3x + 4[/tex]

Now, applying the given transformation into the given function

[tex]h(2x-3)=3(2x-3)+4\\h(2x-3)=6x-9+4\\h(2x-3)=6x-5[/tex]

Learn more about the topic mapping:

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Answer:

No Solutions

Step-by-step explanation:

Equation:

2s - 8 = 2(s - 2)

2s - 8 = 2s - 4

2s = 2s + 4

No Solutions

Answer:

Answer is -24/25.

Step-by-step explanation:

Got it right on egde2020

The value of cos (t) is - (24/25), as per  the relation between the sine and cosine of an angle.

For any angle 'Ф',  the relation between the sine and cosine of an angle is:

sin² (Ф) + cos² (Ф) = 1, when 0 < Ф < (π/2)

Given equation,

sin (t) = (7/25), for (π/2) < t < π

Here, 't' is in the second quadrant.

Therefore, sine is positive here.

However, cosine is negative there.

Therefore, the value of cos (t) is

= - √[1 - sin² (t)]

= - √[1 - (7/25)²]

= - √[1 - (49/625)]

= - √(576/625)

= - (24/25)

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Answer:

After 5 hours.

35 bacteria cells.

Step-by-step explanation:

Andy’s population is represented by [tex]B=6x+5.[/tex]

Samantha’s population is represented by [tex]B=2^x+3[/tex]

Where B represents the total population given the number of hours x.

We want to find at what hour will their population be the same. We are told to use graphing technology.

Graphing them, we will get the graphs below.

Graphically, their population will be the same where the two graphs intersect.

So, we can see that they intersect at (5, 35).

Therefore, after 5 hours, the total number of bacteria cells for both experiments will be the same.

And the total number of bacteria at that time will be 35 bacteria cell.

Answer:

18:21

Step-by-step explanation:

If you divide all of the ratios (12 divided by 18, etc) they all equal 0.66.. besides 18:21

Hope this helps!

Answer:

1.25 meters a second

Step-by-step explanation:

Calculator

Answer:

108.9

Step-by-step explanation:

30.3 + 40.8= 71.1

180 - 71.1= 108.9

The measure of unknown ∠m is equal to 108.9°.

According to the triangle inequality theorem the sum of the length of any two sides will always be greater than the third side. Mathematically -

(a + b) > c

Given is a triangle with its angle measurements.

We know that the sum of the angles of a triangle is equal to 180 degrees.

Therefore, we can write -

∠m + 30.3° + 40.8° = 180°

∠m = 180° - 71.1°

∠m = 108.9°

Therefore, the measure of unknown ∠m is equal to 108.9°.

To solve more questions on triangles, visit the link below-

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Answer:

x = 92/11

Step-by-step explanation:

10x + 1 + 12x - 5 = 180

*group the like terms*

(10x + 12x) + (1-5) = 180

*simplify*

22x - 4 = 180

*add four on both sides to cancel out -4*

+4. +4

*simplify*

22x = 184

*divide both sides by 22 to cancel out the quantity and solve for x*

÷22 ÷22

*simplify*

x = 92/11

Answer:

x = 92/11, x = 8.36 repeating the .36, or x = 8 4/11

Step-by-step explanation:

Answer:

The smallest angle is 6x-6 which is 36°

Answer:

First Option (A) -22

Step-by-step explanation:

Answer:

a) 22

Step-by-step explanation:

just took it on edge

second problem is c!

Answer:

If the question is how many weeks will it take to get the remaining 113.

Step-by-step explanation:

Then the answer is almost 4 weeks. 3 and 2/3 weeks.

Answer:

x = 10.2

Step-by-step explanation:

10.2 × 10 = 102...

Answer:

x+10=102

Step-by-step explanation:

the word "increased" signifies addition because of the value getting larger. the word "is" indicates an equal sign. therefore, the equation is x+10=102

Answer:

no solution

Step-by-step explanation:

if you solve for x then you get x-x which leads you to -6=0 that is no true and undefined

x-6=x

answer

x=6

why? pag nilipag mo yung negative 6 sa kanan . magiging positive sign na sya

Answer:

sure but can u help me ban 50070356 he or she is using my pfp as hers

Step-by-step explanation:

Answer:

what do you not understand

Answer:

t = 17

Step-by-step explanation:

Plug in 46 for H(t) into the above equation and solve for t.

46 = 3t - 5 (add 5 to both sides)

51 = 3t (divide both sides by 3 to isolate t)

17 = t or t = 17

Answer:

B

Step-by-step explanation:

they are real numbers that are greater than 0 but less than 4

Answer:

[tex]a_{n}[/tex] = 4n - 2

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence, that is

6 - 2 = 10 - 6 = 14 - 10 = 18 - 14 = 4

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 4 , thus

[tex]a_{n}[/tex] = 2 + 4(n - 1) = 2 + 4n - 4 = 4n - 2

The correct solution are:  ( − 6 ) ( − 2 ) = 12 and  ( − 6 ) ( − 6 ) = 36 .

Here it is important to remember the rules for the  addition of integers numbers:

+  +   Add  Final result (+) - Final result (+)  

-   -   Add  Final result (-) - Final result (-)  

+  -   Subtract - Final result (the sign of the integer having a greater value)

-   +  Subtract - Final result (the sign of the integer having a greater value)

The rules for multiplication of numbers are:

The result presents a positive sign (+) because the signs are the same.

  +  - or   -   +

The result presents a negative sign (-) because the signs are different.

For solving this question, you should apply the rules presented previously. And after that check, if your result is the same that the question gives.

        ( − 6 ) 2 − ( 6 ) ( 6 ) = 36

        -12 -(36) = -12 -36 = -48 -> It is not the solution given in the exercise because  -48 ≠ 36.

        ( − 6 ) ( − 2 ) =12

                12=12 -> It is the solution given in the exercise because  12=12.

      ( − 6 ) ( − 6 ) = 36

               36=36-> It is the solution given in the exercise because  36=36.

       ( − 6 ) ( − 6 ) = − 36

            36≠ -36 -> It is not the solution given in the exercise because  36 ≠ -36.

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Answer:

Step-by-step explanation:

in this problem we are looking at an alternative expression to the given expression for the total earning which is

Given data

T=11.50x + 125 + 11.50y + 153

let us collect like terms we have

T=11.50x + 11.50y + 153+ 125

T=11.50x + 11.50y +278

we can factor out 11.5 since it is common

T=11.50(x +y) + 278

The alternative expression the girls could use is

T=11.50(x +y) + 278

Answer:

0.5

Step-by-step explanation:

-15=-30x

-15/-30=0.5

Answer:

There are total 50 teachers, 30% are male, 70% are female

Step-by-step explanation:

There is no specific question, but I just put the percentage of each gender teacher. Hope this is the question you were trying to find!

Answer:

The answer would be -8.5

Step-by-step explanation:

If you start at -6.5, to find the difference (subtract) you would move left two whole spaces to get to -8.5.

On the other hand, if you were to start at 6.5 and subtract 2, your answer would be 4.5.

It depends if your first number is negative or positive.