Answer:
$40.00, $30.00, B
Step-by-step explanation:
We can first write an expression for the cost of each plan.
Given x amount of texts and y amount of minutes, plan A costs 15 cents per text sent (so given x amount of texts, plan A costs 15 * x for texts) and 10 cents per minute (so given y amount of minutes, plan A costs 10 * y for minutes). Adding these up, plan A costs 15 * x + 10 * y. Plugging Jaden's 200 texts in for x and 100 minutes in for y, we have
15 * x + 10 * y = 15 * 200 + 10 * 100 = 4000 cents. 100 cents = 1 dollar, and the conversion rate for cents to dollars is divide by 100, so we divide 4000 cents by 100 to get $40.00 as the cost for plan A
For plan B, the flat rate is 15 dollars. To convert from dollars to cents, we multiply by 100, so 15 * 100 = 1500 cents for the flat fee.
Texts cost 5 cents per text, so 5 * x is the cost for texts in cents for plan B. Similarly, 5 * y is the cost for minutes in cents for plan B. Adding these up, we get
1500 + 5 * x + 5 * y
combine like terms
1500 + 5 * (x+y)
plug 200 in for x and 100 in for y
1500 + 5 * (200+100)
1500 + 5 * (300)
1500 + 1500
3000
divide by 100 to convert to dollars
$30.00 is the cost for plan B
$30 < $40, so plan B will be cheaper for Jaden
The probability that it bears a 2 digit no. is 41/50; a perfect square no is; 3/25; a no. divisible by 5 is; 0.2
<h3>How to find the probability?</h3>
We are given;
Number of Discs in box = 50
Type of discs in box = Numbered 1 to 50
i) Number of 2 digit numbers = 41
Thus;
P(2 digit numbers) = 41/50
ii) Perfect square numbers are; 4, 9, 16, 25, 36 and 49. Thus;
P(perfect square number) = 6/50 = 3/25
iii) Numbers divisible by 5 are; 5, 10, 15, 20, 25, 30, 35, 40, 45, 50.
Thus;
P(numbers divisible by 5) = 10/50 = 0.2
Read more about Probability at; brainly.com/question/24756209
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1
Step-by-step explanation:
cos 2x + 2 sin²x
= (1 - 2 sin²x) + 2 sin²x
= 1 - 2 sin²x + 2 sin²x
= 1
Answer:
Each goat gets 3 carrots and there are 4 extra carrots left
Step-by-step explanation:
5*3=15
OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.
5*3.8=19