Answer:
1. 169 2. 163 3. 54 4. 221 5. 6 6. 7 7. 11 8. 9
Step-by-step explanation:
Remember the Order of Operations:
Parentheses
Exponents
Multiplication
Division
Addition
Subtract
*But always solve from left to right so there can be times where you either have to do division before multiplication or subtraction before addition
1. 14 + <u>18 ÷ 2 </u>x 18 – 7
14+<u>9 x 18</u>-7
<u>14+162</u>-7
176-7
169
2. <u>15 x 10</u> + 12 ÷ 3 + 9
150+<u>12÷3</u>+9
<u>150+4</u>+9
154+9
163
3. <u>8 x 4</u> + 9 – 9 + 18
<u>36+9</u>-9+18
<u>45-9</u>+18
36+18
54
4. 2 - 1 +<u> 5 x 4 </u>x 11
2-1+<u>20x1</u>1
<u>2-1</u>+220
1+220
221
5. 60 – <u>9 x 8</u> ÷ 8 x 6
60-<u>72÷ 8</u> x 6
60-<u>9x6</u>
60-54
6
6. <u>(10 ÷ 5)</u>3 + 100 – 9 x 11
<u>(2)3</u>+100-9x11
6+100-<u>9x11</u>
<u>6+100</u>-99
106-99
7
7. <u>3 x 8</u> x 2 – 42 + 5
<u>24x2</u>-42+5
<u>48-42</u>+5
6+5
11
8. <u>14 ÷ 2</u> -1 + 3
<u>7-1</u>+3
6+3
9
Answer:
to the fourth power, over 25 = 52 A… Get the answers you need, now! ... B. By simplifying 25 to 52 to make both powers base five and adding the exponents ... was used to simplify the expression is D. By finding the quotient of the ... rules of exponents simplify the expressions below: 2 4 3 0 4 6 4 -3 2 3 2.
Step-by-step explanation:
They aren't independent since the probability uses all the cards in the deck
So at the first deal we have the chance of 26/52 of getting a red card, at the second deal we have the chance of a 25/51 of getting another red card, so they aren't independent
Answer:
115.48
Step-by-step explanation:
This shape can be split into two distinct shapes
Two halves of a semi circle, and a rectangle in between
Circle:
Putting both halves of the semi circle together will give you a full circle. The diameter of the circle is given (7m).
The area of a circle is A = π 
The radius, r, is half of the diameter, so 7 / 2 = 3.5m
A = π 
A = π * 
A = 38.38
Rectangle:
The area of a rectangle is A = h b
The height, h, is known at 7m
The base, b, can be found by removing the length from the dot to the end of the semi circles. This length is the radius of the semi circles, 3.5m
Removing the radius from the total length given
18 - 3.5 - 3.5 = 11m
The base is 11m
A = h b
A = 7 * 11 = 77
Total Area = Circle area + Rectangle area
Total Area = 38.38 + 77 = 115.48