A shopkeeper orders a special brand of coffee powder to be delivered to
him. A packet of this coffee powder cost $2. These packets are packed into
containers which cost $3 each. Each container can hold 30 packets. A van
delivers 60 containers of this coffee powder to the shop and charges $20 for
transport, How much does the shopkeeper pay altogether?

Answer:

f^-1(x) = (x-3)/4

Step-by-step explanation:

The notation f^-1(x) means that you are finding the inverse of the function f(x). To do this, you'll want to swap the "x" and the "y" in the original function, and then solve for y. Here's how:

First, we take the original function and swap the two variables:

y = 4x + 3

x = 4y + 3

Then we subtract 3 from both sides

x - 3 = 4y

Then to get y on its own, we divide both sides by 4.

y = (x-3)/4

Make sure to note that the whole expression x-3 is divided by 4, not just one part of it.

So your new inverse equation is:

f^-1(x) = (x-3)/4

Answer:

y = (1/4)(x - 3) is the desired inverse function of f(x) = 4x + 3.

Step-by-step explanation:

Here we're finding the 'inverse function' of the given f(x) = 4x + 3.  Follow these steps:

1.  Replace the label  f(x)  with y:  y = 4x + 3

2.  Interchange x and y:  x = 4y + 3

3.  Solve this new equation for y:  4y = x - 3, or y = (1/4)(x - 3

Answer:

sorry there's no results

Step-by-step explanation:

just skip it

Answer:

1 month.

Step-by-step explanation:

When reading a graph, the most important thing is knowing what the axes are. Here, the horizontal x-axis is months, and the vertical y-axis is the number of books read. Those are our 2 variables.

Now, a line on a graph shows the relationship between those 2 variables. At any given point on the line, it'll have an output value of y (books read) for whatever input value of x.

The question gives you the value on the y-axis (books read), so all you need to do is find the value of x that corresponds to that point on the line. I marked that point on the line in the attached image. Look directly below that point on the line, and you can see that 1 month corresponds to 4 books read.

Answer: The answer is 0.

Answer:

ion kno

Step-by-step explanation

ssa

Step-by-step explanation:

Very quick and effortless example of vertical angles in the attached image. When 2 straight lines intersect, the 2 angles opposite each other at that point are vertical angles, and they are always congruent.

I'd say it's the 3rd option:

"Vertical angles are a pair of non-adjacent angles formed by two intersecting lines."

but any of the first three could be technically true really. Adjacent angles are 2 angles that share a side, and vertical angles cannot share one.

Answer:

4

Step-by-step explanation:

Answer:

-1.33 degrees Celsius

Step-by-step explanation:

Divide -16 by 12.

Answer:

106 degrees

Step-by-step explanation:

180 degrees in a triangle divided by three

60 minus 23 equals 37

37 times 2 is 74

180 minus 74 equals 106

Hope it's right :)

Answer:

.

Step-by-step explanation:

.

Answer: I quessed on this with what I learned and we never learned it this way so im not sure if this is correct

It's probably not right

Step-by-step explanation:

Simplifying

13x + 6y = 180

Solving

13x + 6y = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

13x + 6y + -6y = 180 + -6y

Combine like terms: 6y + -6y = 0

13x + 0 = 180 + -6y

13x = 180 + -6y

Divide each side by '13'.

x = 13.84615385 + -0.4615384615y

Simplifying

x = 13.84615385 + -0.4615384615y

Answer:

  -5 ≤ x

Step-by-step explanation:

2(x -3) -5x ≤ 9 . . . . . given

2x -6 -5x ≤ 9 . . . . . . eliminate parentheses

-3x -6 ≤ 9 . . . . . . . . combine like terms

-6 ≤ 9 +3x . . . . . . . add 3x

-15 ≤ 3x . . . . . . . . subtract 9

-5 ≤ x . . . . . . . . . divide by 3

__

The point x=-5 is included in the solution set, so there is a sold dot at that point. The rest of the solution set is values of x that are greater than that value, so the number line is shaded to the right of that point. Your number line should show an arrow at the right end of the graph to indicate it extends that direction indefinitely. (My graphing program doesn't draw arrows easily.)

_____

Additional comment

Perhaps the most straightforward way to solve this would have been to add 6 instead of 3x. That would give ...

  -3x ≤ 15

Then dividing by -3 would give x. That operation would reverse the inequality symbol (because the divisor is negative). Then you would have ...

  x ≥ -5

Either way works. We judge it to be less confusing when we don't have to change the direction of the inequality symbol.

Answer:

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

Part A.

m < RPB = 180 - 115 = 65 degrees.

So the m < x =  180 - 65 - 62

= 53 degrees.

Part B.

First line of Part A:

M < RPB + m < PRD = 180 degrees ( Internal angle between 2 parallel lines are equal).

Second line:

The 3 angles x, 62 and 65 degrees  are all on the same straight line (AB), so they sum to 180 degrees.

Answer:

1, 3

Step-by-step explanation:

// Solve equation [2] for the variable  y  

  [2]    y = x - 2

// Plug this in for variable  y  in equation [1]

[1]    (x -2) + x = 4

  [1]    2x = 6

// Solve equation [1] for the variable  x  

[1]    2x = 6  

[1]    x = 3  

// By now we know this much :

y = x-2

x = 3

// Use the  x  value to solve for  y  

 y = (3)-2 = 1

Answer:

13

Step-by-step explanation:

Sorry no one answered in time, but you had it correct up to 26/2. 26/2 is correct (26 minutes for 2 people) but you need for 1 person so you divide by 2 to get 13 minutes per 1 person.

Answer:

y=49/9

Step-by-step explanation:

Distribute 3 with 3y and -5

3 times 3y is 9y

3 times -5 is -15

So the equation now looks like this:

9y-15=34

Add 15 on both sides:

9y=49

Divide 9 on both sides

So y=49/9

Since there is no common value to divide by y is 49/9

If you want the decimal version it is 5.44=> (=> meaning continuing forever)

Hope this helps!

Answer: If you roll two fair six-sided dice, the probability that the sum is 5 or lower is 5/18.

Explanation: Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x

Let ‘x’ be the number on the first dice.

‘Y’ be the number on second dice.

We have to find the probability that the sum is 5 or lower i.e. (x + y) <= 5.

Total number of possible results from two six-sided dice is 6 × 6 = 36.

The possible results that the sum is lower than 4 is (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2) and (4,1).

Number of possible results for the sum is 5 or lower is 10.

The probability that the sum is 5 or lower = 10/36

=5/18

Therefore, the probability that the sum is 5 or lower is 5/18.

Answer: Score on a science test, D, Average temperature

Step-by-step explanation:

A: Score on a science test(dependent variables are the "effects" of the independent variable, and number of hour studied results in the score on the science test)

B: D (the input will always remain the same but the output is dependent on the independent variable, so in this case the input is the independent variable)

C:Average temperature( the temperature depends on how far it is from the equator, thus making it the dependent variable in this relationship)

Hope it helps!

:)

Answer:

y=x

Step-by-step explanation:

y=mx+b

m is the slope

b is the y-intercept

Since the y-intercept is at the 0 axis, the y-intercept will be zero

So now the equation is looks like this:

y=mx (Since y=mx+0 doesn't make a difference)

Now find the slope

Which is 1

Thus y=x

Hope this helps!

Answer:

given slope of 2 and a y intercept of 0

f(x) = 2x

Answer:

48350.06

Step-by-step explanation:

nvm I'm wrong is there a way to delete answer

Use the simple interest formula:

Total = start value x( 1+ (interest rate x time In years))

Total = 48350 x (1+(0.03 x 2))

Total = 48350 x 1.06)

Total = $51,251

Answer:

1. 2/6

2. 1/3

3. 3/9

Step-by-step explanation:

I've learned this before

Answer:

3,700

Step-by-step explanation:

I know it's black because I did it in my head

Answer:

20 cups

Step-by-step explanation:

Michelle: 10 3/5 cups made

Leslie: 9 2/5 cups made

Steps:

First, let's turn each number into decimal form.

10 3/5 = 10.6

9 2/5 = 9.4

Then, add

9.4 + 10.6 = 20

Conclusion

They made 20 cups in all

Note:

Hope this helped :)

Have a nice day

Reply with any questions or concerns please :D

Answer:

y =47.5.

Step-by-step explanation:

First eliminate the fractions by multiplying through by the LCM of 7 and 3 which is 21:

21* 6[y-2]/7-21*12 = 21*2[y-7]/3

18(y - 2) - 252 = 14(y - 7)

18y -36 - 252 = 14y - 98

18y - 14y = -98 + 36 + 252

4y = 190

y = 190/4

y = 47.5.

Answer:

There is only one shape who is similar to A which is the pink one.

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-3-(-10)/-2+1

-3-5+1

-8+1

-7

Answer:

Step-by-step explanation:

Expert-Verified Answer

1 person found it helpful

author link

jayilych4real

Some useful tips to help you write a five-paragraph essay are:

Choose a topic

Make suitable claims

Make use of supporting details

Make use of rhetorical appeals

Make use of counterclaims and rebuttals

Restate your main points

Conclude.