Answer: She had 200 cards to start with
Step-by-step explanation:
Let x = the amount of cards she had initially. This means she had x cards to start with.
She gave half of the cards she had to a friend. This means she gave her friend x/2 cards. She is left with with (x-x/2) = x/2 cards.
She also gave 1/4 of the remaining cards to her brother. This means that she gave (1/4 × x/2) = x/8 cards to her brother.
Remaining number of cards will be x/2 - x/8 = (4x-x)/8 = 3x/8
She still has 75 cards left. This means
3x/8 = 75
Cross multiplying with 8, it becomes
3x = 75×8 = 600
x = 600/3 = 200
She had 200 cards to start with.
Answer:
Yes
Step-by-step explanation:

Answer:
$1407.15
Step-by-step explanation:
$1,770.00*0.25= $442.5
$1.770-$442.50 = $1327.5
$1327.5*0.06 = $79.65
$1327.50+$79.65 = $1407.15
<u>Given</u>:
Given that the side length of the cube is 1.8 cm
We need to determine the lateral surface area of the cube.
<u>Lateral surface area of the cube:</u>
The lateral surface area of the cube can be determined using the formula,

where a is the side length.
Substituting a = 1.8 in the above formula, we get;

Squaring the term, we get;

Multiplying, we get;

Thus, the lateral surface area of the cube is 12.96 cm²