Answer: the cost of one package of macadamia nut chip cookie dough is $1.5
the cost of one package of triple chocolate cookie dough is $2.5
Step-by-step explanation:
Let x represent the cost of one package of macadamia nut chip cookie dough.
Let y represent the cost of one package of triple chocolate cookie dough.
Mrs. Julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $112.50. This means that
25x + 30y = 112.5 - - - - - - - - - - - - -1
Mrs. Castillejo’s class sold 8 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $124.50. This means that
8x + 45y = 124.5 - - - - - - - - - - -2
Multiplying equation 1 by 8 and equation 2 by 25, it becomes
200x + 240y = 900
200x + 1125 = 3112.5
Subtracting, it becomes
- 885y = - 2212.5
y = - 2212.5/- 885
y = 2.5
Substituting y = 2.5 into equation 1, it becomes
25x + 30 × 2.5 = 112.5
25x + 75 = 112.5
25x = 112.5 - 75 = 37.5
x = 37.5/25 = 1.5
The method used is the elimination method. It is more convenient to use.
Answer:
(There's a confusion here, is x 2 x times 2? The answer and explanation are based on x multiply by 2)
y = -8
Step-by-step explanation:
Substitution Method-
y = x 2 - 4
x = -2
y = (-2) 2 - 4
PEMDAS - parentheses; exponents; Multiplication & Division; Addition & Subtraction
we are going to multipl -2 and 2 together ---> -4
y = -4 - 4
Same sign add, different sign subtract.
Same sign keep the sign, different sign keep the larger.
y = -8
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No it’s is not greater because 1.8x10-4= 14 and 7.2x10-1=71
Answer:
see explanation
Step-by-step explanation:
Both figures are cuboids whose volume (V) is calculated as
V = lbh ( l is the length, b is the width and h the height )
(8)
V = 6 × 6 × 10 = 36 × 10 = 360 ft³
(9)
V = 11 × 14 × 4 = 616 in³
1. angles 2 and 5 are supplementary, reason : it's given
2. 3 and 2 are congruent reason: they are vertical
3. 3 and 5 are supplementary reason : substitution prop. (i think so)
4. I don't know this one but are their any options?