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Verdich [7]
3 years ago
11

Mathemat

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
7 0
First 168 is with the discount
The tax is 11.76
168+ 11.76 is 179.76
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43. Can you place ten lumps of sugar in three empty cups so that
erma4kov [3.2K]

Answer: No.

Step-by-step explanation:

We have 10 lumps of sugar, and we want to divide them into 3 cups, in such a way that there is an odd number of lumps in each cup.

This only can happen if we have 3 odd numbers such that the addition is equal to 10.

Now 10 is an even number, remember that even numbers can be written as:

2*k

where k is an integer number.

And odd numbers can be written as:

2*n + 1

where n is an integer.

Then we have 3 odd numbers, let's call them:

(2*n + 1), (2*k + 1) and (2*p + 1).

Now let's add them:

(2*n + 1) + (2*k + 1) + (2*p + 1).

2*(n + k + p) + 1 + 1+ 1

2*(n + k + p) + 2 + 1 =

2*(n + k + p + 1) + 1.

Now, the number n + k + p + 1 is an integer number, let's call it X, then we have that the addition of the 3 odd numbers is:

2*X + 1

This is an odd number

So for any 3 odd numbers that we add together, the result will always be an odd number.

Then is impossible to add 3 odd numbers and get 10 as the result (Again, 10 is an even number).

Then is not possible to have an odd number of lumps in each cup.

5 0
3 years ago
2 members of the 5-member math study group will present their project to the class. How many combinations of 2 members are possi
klio [65]

Answer:

2

Step-by-step explanation:

(,)=?

(,)=(5,2)

=5!(2!(5−2)!)

=5!2!×3!

= 10

4 0
3 years ago
Parker wants to ride his bicycle 34 miles this week. He has already ridden 10 miles. If he rides for 5 more days, how many miles
vazorg [7]

Answer: He rode 4.8 miles each day.

Variable: x = Constant distance distance traveledd each day.

Equation : 10+5x=34

Step-by-step explanation:

Total distance needs to travel = 34 miles

Distance already traveled = 10 miles

He will ride bicycle for 5  more days.

Let x = Constant distance distance traveledd each day.

Total distance = 10+5x

i.e.

10+5x=34\\\\\Rightarrow\ 5x=24\\\\\Rightarrow\ x=4.8

Hence, he rode 4.8 miles each day.

7 0
3 years ago
BRAINLIEST ANSWER THIS IS URGENT PLEASE HURRY. ANSWER ALL THE BLANK BOXES.
shusha [124]

The answers are:

1) x

2) x

3) \frac{ln(x+4)}{2}

The explanation for this answer is shown below.

1. To solve this problem you must apply the following proccedure:

2. You have the function f(x)=e^{2x}-4\\  y=e^{2x}-4

3. You must switchx and y and then solve forx:

x=e^{2y}-4\\ x+4=e^{2x}\\ ln(x+4)=2y\\ y=\frac{ln(x+4)}{2}

4. Finally, you obtain:

f^{-1}(x)=\frac{ln(x+4)}{2}

7 0
3 years ago
What is the answer???
lisov135 [29]

Answer:

The answer is A.) 1

=) Hope this helps (=

5 0
3 years ago
Read 2 more answers
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