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
Y = 6 + x
We can use this equation to find the total amount of flour that Otto used in the recipe.
The constraints on 'x' and 'y' are that they must both be positive, because we cannot have a negative amount of flour.
<span>And a restraint something like 50 cups of flour total because one person making a recipe won't use that many cups of flour.</span>
Answer:
x = 10
y = 40
Step-by-step explanation:
60° + (2x + 7y)° = 180° because these two angles are supplementary
So 2x + y would be equal to 60°
60° + (2x + 7y)° = 180° subtract 60 from both sides
2x + 7y = 120 and
2x + y = 60 multiply second equation by -1 and it will be -2x -y = -60 now add it to first equation
2x + 7y -2x - y = 120 - 60 -2x will eliminate 2x
6y = 60 divide both sides by 6
x = 10
if 2x + y = 60 the we need to replace x with the value we found
2×10 + y = 60
y = 40
