<span>Brittany's mom should get two packages of hot dogs and three packages of buns to get the equal number of hot dogs to buns. In order to determine this, I multiplied 24 by 2 and got 48. I multiplied 16 by 3 and also got 48. The least asmount of packages she should buy are two packages of hot dogs and three packages of buns so she has an equal amount of both.</span>
Answer:
a) (2x+7)(x-4)
b) x = -7/2 and x = 4
Step-by-step explanation:
a) (2x ?)(x ?)
set up the above and considered factors of 28 that, when paired with 2, would give me -1x and -28 → (1·28, 2·14, 4·7)
after trial-and-error, found that 4 and 7 worked (used un-FOIL)
b) 2x + 7 = 0
2x = -7
x = -7/2
*********
x-4 = 0
x = 4
Answer: 37/66
Step-by-step explanation:
1. 148/264 = .560
2. convert to fraction 37/66
Answer:
1 - G;
2 - R;
3 - E;
4 - D;
5 - T;
6 - J;
7 - O;
8 - B;
Step-by-step explanation:
The formula for calculating the sum of interior angles is ( n − 2 ) * 180 ∘ where n is the number of sides.
1) (4 - 2) * 180 = 360 therefore X + 100 + 118 + 53 = 360 => X = 360 - 100 - 118 - 53 = 89 => X = 89
2) (5 - 2) * 180 = 540 => 90 + 90 + X + 128 + X = 540 => 2*X = 540 - 90 - 90 - 128 = 232 => X = 116
3) (6 - 2) * 180 = 720 => 101 + 126 + X + 96 + 147 + 135 = 720 => X = 720 - 101 - 126 - 96 - 147 - 135 = 115 => X = 115
4) (9 - 2) * 180 = 7 * 180, since all angles are equal the answer is 7 * 180 / 9 = 7 * 20 = 140 => X = 140
5) (5 - 2) * 180 = 540 => 90 + 131 + 102 + X + 145 = 540 => X = 540 - 90 - 131 - 102 - 145 = 72 => X = 72
6) Since the sum of the linear pair angles equal 180, X = 180 - 70 = 110 => X = 110
7) (4 - 2) * 180 = 360; Linear pair angle for 73 is 180 - 73 = 107, that means X + 102 + 39 + 107 = 360 => X = 360 - 102 - 39 - 107 = 112 => X = 112
8) (5 - 2) * 180 = 540; Linear pair angle for 84 is 180 - 84 = 96; Linear pair angle for 79 is 180 - 79 = 101; Linear pair angle for 34 is 180 - 34 = 146; so X + 90 + 96 + 101 + 146 = 540 => X = 540 - 90 - 96 - 101 - 146 = 107 => X = 107
Answer:
4r² - 5r - 15 / r(r+3)
Step-by-step explanation:
To solve this problem, we will proceed the following way, writing down the common multiple of the denominators.
Thus, the answer is 4r² - 5r - 15 / r(r+3)
