Answers:
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Explanation:
7+6 = 13. Divide this over 5 to get 13/5 = 2 remainder 3. The quotient 2 is something we don't care about. <u>We only worry about the remainder</u>. Therefore 7+6 = 3 (mod 5)
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2+1 = 3 (mod 5) for similar reasoning as above. 3/5 = 0 remainder 3.
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20 = 9 (mod 11) since 20/11 = 1 remainder 9. Imagine you had 20 cookies and 11 friends. Each friend would get 1 whole cookie (quotient) and there could be 9 left over (remainder).
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35/11 = 3 remainder 2
Or you could use repeated subtraction like so to find the remainder
35-11 = 24
24-11 = 13
13-11 = 2
The last result (2) is smaller than 11, so we stop here and this is the remainder.
Therefore, 35 = 2 (mod 11)
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Here's another way to think of it. Consider you have $35 in your pocket. Let's say a store is selling trinkets for $11 each. We can pose these key questions:
- What is the most number of trinkets you can buy?
- If you buy that max amount, how much will you have left over?
The answer to the first question is 3 trinkets because 3*11 = 33 dollars is under the budget of $35. The amount left over is 35-33 = 2 dollars which is the remainder. It's not larger than 11, so we cannot buy any more trinkets at this point.
Answer:
First you need to set up an equation y = mx + b. m would be the monthly charge and b would be the one time fee. x represents the number of months.
To solve for the number of months with a total price of 240 we substitute 240 in for y and solve for x.
240 = 25x + 40
subtract 40 from each side
200= 25x
divide by 25
8 = x
8 months
10 + 7r = 45
7r = 35
r = 5
5 milesStep-by-step explanation:
Answer:
The area of the park is calculated through the equation,
A = 0.5ab(cos C)
Substituting the given above,
A = 0.5(533 ft)(525 ft)(cos 53°)
A = 84201.44 ft²
2. We find the radius of the second figure by the equation,
r = C / 2π
Substituting,
r = (30 in) / (2π) = 4.77 in
The radius of the first one is 9 inches. Getting the difference of these two figures will give us an answer of 4.225 inches.
Thanks Useless
ansverwinterblanco
Diameter of the basketball rim = 18 inches
Circumference of the basketball = 30 inches
You would have to fin the area so= pi*r^2
Basketball rim = 3.14 * (18/2)^2 = 3.14 * 9^2 = 3.14 * 81 = 254.34 in^2
The find the Circumference so= 2*pi*r
30 = 2*3.14*r
r = 30 / (2*3.14) = 30 / 6.28 = 4.78 inches
basketball = 3.14 * (4.78)^2 = 3.14 * 22.85 = 71.75 in^2
254.34 - 71.75 = 182.59 in^
<span> 3h2 • (h + 7) • (h + 1) is the simplified version.</span>
