150/4 = 37.5cm. You divide by four because there are four sides on a rectangle. But 37.5 is the cm of a square. Since it says one of the sides is 15cm greater, you subtract 37.5 - 15 = 27.5cm on 2 of the width. While the other 2 lengths are greater than the width by 15 cm, so you add 15 to 37.5 which gives you 52.5cm. So the 2 width are 27.5cm and the length is 52.5cm.
Given that the total profit is <u>$2400.00</u> and he made <u>$30.00</u> in profit for each share.
Number of shares = $2400 ÷ 30 = 80
Answer: He bought 80 shares
-3x + 4y = 12
x - y = 1....x = y + 1
-3(y + 1) + 4y = 12
-3y - 3 + 4y = 12
-3y + 4y = 12 + 3
y = 15
x - y = 1
x - 15 = 1
x = 1 + 15
x = 16
one solution (16,15)
Answer:
see explanation
Step-by-step explanation:
For the equation to have solutions , then
- 1 ≤ cosq ≤ 1
Since cosq = 1.4 ( out with limits )
Then the equation has no solutions
Answer:
The probability that the first card is a Heart and the second card is a Spade is 0.064.
Step-by-step explanation:
A standard deck of 52 cards is shuffled and two cards are drawn without replacement.
The denominations of the cards are as follows:
Spades (S) = 13
Hearts (H) = 13
Diamonds (D) = 13
Clubs (C) = 13
Compute the probability of selecting a Heart first as follows:

Compute the probability of selecting a Spade second as follows:

Since the two cards are selected without replacement the second draw is independent of the other.
Then the probability that the first card is a Heart and the second card is a Spade is:


Thus, the probability that the first card is a Heart and the second card is a Spade is 0.064.