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inna [77]
3 years ago
13

Mrs. Rodriguez wants to pay her restaurant bill which is $24.00. A 6% tax is added by the waitress. If Mrs. Rodriguez wants to l

eave a 20% tip on the total including the tax, how much should she pay? $20.35 $25.44 $30.53 $35.62
Mathematics
2 answers:
Elis [28]3 years ago
6 0

Answer:

30.53

Step-by-step explanation:

24 x 1.06 = 24.44 (6% tax added to 24)

24.44 x 1.20 = 30.53 (20% tip added on top)

MissTica3 years ago
4 0

Answer:

30.53

Step-by-step explanation:

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Ostrovityanka [42]

Answer:

4

Step-by-step explanation:

I don't know if u want the explanation

8 0
3 years ago
Read 2 more answers
A lab technician needs 60mL of 25% acid solution for a certain experiment , but he has only 10% solution and 40% solution. How m
V125BC [204]

Answer:

  • 10%: 30 mL
  • 40%: 30 mL

Step-by-step explanation:

The needed concentration is exactly halfway between the available concentrations, hence they must be mixed equally.

He should mix 30 mL each of the 10% and 40% solutions.

_____

The first step in solving any problem is to look at the given information, and at what is being asked for. Here, the mix that is being asked for is exactly halfway between the given concentrations, so you know without any further contemplation that the mix will be 50%/50% of each.

__

If the mix were something else, there are several ways the problem can be solved. I like to use a diagram that puts the available concentrations on the left in a column with the highest on top, the needed concentration in the next column in the middle, and the differences of these numbers on the diagonals in the right column.

<u>Example</u>: if the needed mix is 15%, the diagram would look like ...

   40            5

          15

   10           25

The numbers on the right tell you the proportions required (5:25 = 1:5). For this example, you need 1 part 40% solution and 5 parts 10% solution to make a mix that is 15%. That's a total of 6 parts, so each "part" is 10 mL for 60 mL of solution.

We chose this example so every number in the diagram is different, so you could see how the instructions for use apply.

__

Another way to solve this is to let a variable represent the amount needed of <em>the highest concentration</em>. If we let that variable be x, for the given problem, we can write the equation for the amount of acid in the mix as ...

  40%(x) + 10%(60 -x) = 25%(60)

  0.30x = 9 . . . . . . . . subtract 6, simplify

  x = 9/0.30 = 30 . . . . . mL of 40% solution

6 0
3 years ago
If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a
Vikki [24]

If f(x) is an even function, then f(x)=f(-x). In this case, f(6)=8=f(-6).


This is because an even function is symmetric about the y-axis. Hence the outputs of a negative x-value and a positive x-value are the same.


The correct option is the first option.

Since the graph is even, the outputs of a negative x-value and a positive x-value are the same.


4 0
3 years ago
List the integers from least to greatest: -22 , 0, 7 , -5, 3, -6, 10
Vladimir [108]

Answer:

-22,-6,-5,0,3,7,10

Step-by-step explanation:

It would be the highest negative integers in front, so going down, you'd reach 0. Then go up positive number 3,7,10.

3 0
3 years ago
How many solutions does the system have? \begin{cases} 3x+y=8 \\\\ 2x+2y=8 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 3x+y=8 2x+2y=8 ​ Choose 1
ELEN [110]

Answer:

This system has one solution (x=2 and y=2), then the answer is A.

Step-by-step explanation:

The system of equations is:

3x+y=8 (1)

2x+2y=8 (2)

Let's multiply the first equation by 2 and subtract it to the second equation  

6x-2x+2y-2y=16-8

4x=8  

x=2

Using this value in (1) we can find y.

3(2)+y=8

6+y=8

y=2

Therefore, this system has one solution (x=2 and y=2), the answer is A.

I hope it helps you!

3 0
3 years ago
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