87; If he gave two thirds of his remaining cards to Elaine, then he had one third left. If one third of his remaining cards is 25, then 25 x 3 will give you what he had after trading with Tommy. When he finished trading with Tommy he had 75 cards. if he gave away 15 cards, but got three back, then he must have had 87 cards to begin with.
Check your answer:
87-15 = 72
72+3 = 75
2/3 of 75 = 50
75-50 = 25
Great!
Answer:
Step-by-step explanation:


In exponent multiplication, if two numbers have same base, just add the exponents
In exponent division, if two numbers have same base, just subtract the exponents
Prime factorize 4 = 2*2 = 2²
4⁻¹ *(2³÷ 4⁻² )= (2²)⁻¹ * ( 2³÷ (2²)⁻²
= (2⁻²)* (2³ ÷2⁻⁴)
![= 2^{-2} * (2^{3-[-4]})\\\\= 2^{-2} * (2^{3+4})\\\\= 2^{-2} * 2^{7}\\\\= 2^{-2+7}\\\\= 2^{5}\\\\= 2 * 2 * 2 * 2 * 2\\\\= 32](https://tex.z-dn.net/?f=%3D%202%5E%7B-2%7D%20%2A%20%282%5E%7B3-%5B-4%5D%7D%29%5C%5C%5C%5C%3D%202%5E%7B-2%7D%20%2A%20%282%5E%7B3%2B4%7D%29%5C%5C%5C%5C%3D%202%5E%7B-2%7D%20%2A%202%5E%7B7%7D%5C%5C%5C%5C%3D%202%5E%7B-2%2B7%7D%5C%5C%5C%5C%3D%202%5E%7B5%7D%5C%5C%5C%5C%3D%202%20%2A%202%20%2A%202%20%2A%202%20%2A%202%5C%5C%5C%5C%3D%2032)
Answer:
The scale factor is equal to 1/2
The dimensions of each channel when splits the screen is 46 in x 38 in
Step-by-step explanation:
we know that
The dimensions of the new television is 92 in x 76 in
Remember that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
A1 -----> the area of the new television
A2 ----> the area of each channel when splits the screen
z-----> the scale factor

we have that
The area of the new television is 4 times the area of each channel



-----> the scale factor
so
When splits the screen, the dimension of each channel is equal to
92/2 in x 76/2 in
so
46 in x 38 in
Remember, if two figures are similar then the scale factor is equal to the ratio of their corresponding sides
<em>Verify the value of the scale factor</em>
92/46=1/2
or
76/38=1/2
Answer:
12
Step-by-step explanation:
3x+7 = 12
Answer:
Bobby's economic profits for the day is $0.60.
Step-by-step explanation:
Bobby sells 20 glasses of lemonade for $0.20 per cup.
Amount earned =
dollars
The average total cost is $0.17.
So, difference in selling amount and average =
dollars
Therefore, Bobby's economic profits for the day is =
dollars
Hence, the answer is $0.60.