-6K – 3 = 39. Please solve this equation for K. Type your work in.

Answer and explanation:

Please find answer and explanation attached

Answer:

The equation that models the relationship between Z and N is N = 56 Z

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

∵ Mark reads 42 pages of a book every [tex]\frac{3}{4}[/tex] of an hour

→ Find his rate per hour by dividing the number of pages by its time

∴ His rate of reading = 42 ÷  [tex]\frac{3}{4}[/tex] = 42 ×  [tex]\frac{4}{3}[/tex] = 56 pages per hour

∵ His rate = 56 pages/hour

∴ m = 56

∵ Z represents the number of hours Mark reads

→ That means replace x in the form of the equation above with Z

∵ N represents the number of pages of the book he reads

→ That means replace y in the form of the equation above with N

∴ N = 56 Z + b

∵ There is no initial amount of reading

∴ b = 0

∴ N = 56 Z

The equation that models the relationship between Z and N is N = 56 Z

9514 1404 393

Answer:

  274 mL

Step-by-step explanation:

Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.

Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.

With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...

  v/(6 g) = (100 mL)/(25 g)

  v = (6 g)(100 mL)/(25 g) = 24 mL

So, the total volume of the infusion is ...

  250 mL +24 mL = 274 mL

_____

* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.

Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.

Answer:

a. 15 students

b. 32 students

c. 35 students

d. 34 students

e. 55 students

f. 67 students

Step-by-step explanation:

See attachment for complete question

Solving (a): Tricycle, Motorcycle and Car

This is the intersection of Tricycle, Motorcycle and Car.

From the attached Venn diagram, there are 15 students in this category

Solving (b): Tricycle and Motorcycle.

This is the intersection of Tricycle and Motorcycle.

From the attached Venn diagram, we observe the following data:

[tex]Tricycle\ and\ Motorcycle\ only =17[/tex]

[tex]All = 15[/tex]

[tex]Tricycle\ and\ Motorcycle = All + Tricycle\ and\ Motorcycle\ only[/tex]

[tex]Tricycle\ and\ Motorcycle = 15 + 17[/tex]

[tex]Tricycle\ and\ Motorcycle = 32[/tex]

Solving (c): Car and Motorcycle.

This is the intersection of Car and Motorcycle.

From the attached Venn diagram, we observe the following data:

[tex]Car\ and\ Motorcycle\ only = 20[/tex]

[tex]All = 15[/tex]

So:

[tex]Car\ and\ Motorcycle = All + Car\ and\ Motorcycle\ only[/tex]

[tex]Car\ and\ Motorcycle = 15 + 20[/tex]

[tex]Car\ and\ Motorcycle = 35[/tex]

Solving (d): Car and Tricycle.

This is the intersection of Car and Tricycle.

From the attached Venn diagram, we observe the following data:

[tex]Car\ and\ Tricycle\ only = 19[/tex]

[tex]All = 15[/tex]

So:

[tex]Car\ and\ Tricycle = All + Car\ and\ Tricycle\ only[/tex]

[tex]Car\ and\ Tricycle = 15 + 19[/tex]

[tex]Car\ and\ Tricycle = 34[/tex]

Solving (e): Car only

From the attached Venn diagram, we observe the following data:

[tex]Car\ only = 55[/tex]

Solving (e): Motorcycle only

From the attached Venn diagram, we observe the following data:

[tex]Motorcycle\ only = 67[/tex]

Answer:

-11

Step-by-step explanation:

This is the answer because:

1) First, multiply the negative sign with the positive sign.

Negative x Positive = Negative

Equation: -7 - 4

2) Now, multiply the negative sign with the negative sign.

Negative x Negative =  Positive  

Equation: 7 + 4 = 11

3) Finally, add the greater number's sign (-7) in front of the number.

-11

Hope this helps! :D

Answer:

12%

Step-by-step explanation:

You never gave any numbers than 12% and you asked how much the commission would be...

If he gets 12% commission then he would have to pay 12% commission.

If a, b, and c are all positive integers and 6a + 9b + 20c = 61, then right away you know c < 3, because if c = 3, then 20c = 60, and there are no solutions for a and b.

So consider two cases:

• If c = 2, then we're left with 6a + 9b = 21.

• If c = 1, then 6a + 9b = 41.

We have gcd(6, 9) = 3, but 41 is prime and 3 does not divide 41. So we throw out the second case.

This leaves us with 6a + 9b = 21. Notice that if a = b = 1, then 6a + 9b = 15. Add 6 to both sides to get 21. So a = 2, b = 1, and c = 2, and hence a + b + c = 5.

Answer:

3E41

Step-by-step explanation:

hope it helps

Answer:

3e+40

Step-by-step explanation:

pls give me brainliest

x= 2

Step-by-step explanation:

The answer for what does x= is,

x = 2

Answer:

The slope is 3 and the y-intercept is 10

Step-by-step explanation:

Answer:

Slope:  3

y-intercept:  ( 0 , 10)

Step-by-step explanation:

y=mx+b

y=3x+10

Hope this Helps!!!

Answer:

y' = (x² + 4)eˣ

Step-by-step explanation:

Power rule: y' = f'(x)g(x) + f(x)g'(x)

[tex]\frac{d}{dx} [e^x]=e^x[/tex]

Step 1: Write equation

y = (x² - 2x + 6)eˣ

Step 2: Differentiate

Answer:

The answer is 1

Step-by-step explanation:

There is 1 proportional relationship in the graph

The total volume of the 150 cones is:

Total volume = 39,270 cm³

We know that the volume of a cone of radius R and height H is given by the formula:

V = (1/3)*pi*R²*H

Where pi = 3.1415...

Here we know that the radius of the cone is 5cm and the height is 10cm, then:

R = 5cm

H = 10cm

We can replace these values to get:

V = (1/3)*3.1415*(5cm)²*10cm

The volume of the cone will be:

V = 261.8 cm³

And there are 150 of these cones, so the total volume is 150 times the above one:

Total volume = 150*261.8 cm³ = 39,270 cm³

Learn more about volume at:

https://brainly.com/question/1972490

#SPJ1

Answer:

The linear function would be:

C = 10t + 2

where C is the cost and t is time in months

Step-by-step explanation:

Answer:

10/3

3.333333

3  1/3

Step-by-step explanation:

hope this helps

Answer:

y= 0, .4

x= .3, 0

Step-by-step explanation:

and thats the way the cookie crumbles.

Answer:

By moving the decimal at the end of the number to the correct amount of places for x 10 you move it once to the right for x 100 you move it right twice.

Step-by-step explanation:

Answer:

The inverse of f(x)=3x+1 is f(x)−1=13x−13

Step-by-step explanation:

Answer:

[tex]f(x)^{-1} = \frac{1}{3}x - \frac{1}{3}[/tex]

Step-by-step explanation:

Inverse means the opposite of the original function.

Dividing both into this (15 x 32) below.

15=10+5

32=30+2 and both of the equations will give you the result of 4 partial products.

10x30=300

5x30=150

10x2=20

 5x2=10

Answer:

5 feet and .16667 inches

Step-by-step explanation:

if you where to simplify the inches it would be 2 inches because the 6 next to the 1 is greater then five making the 1 a 2

Answer:

I think its B

Step-by-step explanation:

Forgive me if I am wrong, give me brainliest if I am right!

Answer:

-3.21

Step-by-step explanation:

If you pay close attention the numbers are 5 points away from each other, so after -3.2 is -3.21! Hope that helped love :)

Answer:

umm i think so

Step-by-step explanation:

Answer:

[tex]y=5[/tex]

Step-by-step explanation:

[tex]11y=2y+45[/tex]

Start by subtracting [tex]2y[/tex] from both sides of the equation:

[tex]9y=45[/tex]

Divide by the coefficient of [tex]y[/tex], which is [tex]9[/tex]:

[tex]y=5[/tex]

_

Check your work by substituting the solved [tex]y[/tex] value ([tex]5[/tex]):

[tex]11(5)=2(5)+45[/tex]

[tex]55=10+45[/tex]

[tex]55=55[/tex]

Since both sides of the equation are equal, our answer is correct!

Answer:

y = 5

Step-by-step explanation:

Solving the equation for y means finding the value of that variable that makes the equality true.

11y = 2y + 45

Subtract 2y from both sides.

11y - 2y = 45

9y = 45

Divide both sides by 9.

y = 5

Answer:

5 km

Step-by-step explanation:

to convert m to km you have to divide by 1000.

5000/1000=5

hope this helps!

Answer:

n=7/5 m= 5

Step-by-step explanation:

Answer:

18 hours. For 1 hour you packed 10 boxes.

Step-by-step explanation:

Answer:

12 girls =)

Step-by-step explanation:

Make a table labeled girls and boys like this

2|3

4|6

6|9

8|12

Multiply until you get to 8 boys

Answer:

Step-by-step explanation:

Where’s the number line