Answer:
Area of the smaller square is x * x, which is x^2
Area of the larger square is (x + 7)(x + 7), which is x^2 + 14x + 49
The area of the shaded area = Area of the larger square - Area of the smaller square
Area of the shaded region = x^2 + 14x + 49 - x^2
Area of the shaded region is 14x + 49.
Answer:
x = 4
Step-by-step explanation:
To solve, simplify the expression then use inverse operations to isolate x.
Answer:
B. In step 2, marquis should have interpreted the results as x _< - 9.2, which means that x is less than or equal to -9.2
Step-by-step explanation:
Step 1 is correct.
Step 2.
-9.2 >= x
Subtract x from both sides.
-x - 9.2 >= 0
Add 9.2 to both sides.
-x >= 9.2
Divide both sides by -1. When you multiply or divide both sides of an inequality, the inequality sign changes direction.
x <= -9.2
The first error is in Step 2.
Answer:
B. In step 2, marquis should have interpreted the results as x _< - 9.2, which means that x is less than or equal to -9.2
Answer:
2
Step-by-step explanation:
Total costs = 4 + (3 * 2) + 5 + 15
Total costs = 4 + 6 + 5 + 15
Total costs = $ 30
Substituting values we have:
Total change = 32 - 30
Total change = 2 $
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.
