A.
If:
j - the price of a glass of juice
p - the price of a pancake special
Then:
3j + 5p = 7.60
j + 2p = 2.90
b.
If:
j + 2p = 2.90
Then:
j = 2.90 - 2p
We can substite j in the first equation.
<span>If:
3j + 5p = 7.60
</span><span>j = 2.90 - 2p
</span>Then:
3×(2.90-2p) + 5p = 7.60
8.70 - 6p + 5p = 7.60
8.70 - p = 7.60
⇒ p = 8.70 - 7.60
⇒ p = 1.10
If:
<span>j = 2.90 - 2p
</span><span>p = 1.10
</span>Then:
j = 2.90 - 2×1.10
j = 2.90 - 2.20
j = 0.70
Thus, the price of a glass of juice is $0.70 and <span>the price of a pancake special is $1.10.
c.
If:
p = 1.10
j = 0.70
Then:
j + p = 1.10 + 0.70 = 1.80
Thus, </span><span>the bill for 1 glass of orange juice and 1 pancake special is $1.80.</span>
Answer: 26
Step-by-step explanation: You would order the numbers from least to greatest, then find the middle number of the set.
14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34
Answer:
64 degrees
Step-by-step explanation:
All angles in a triangle plus each other equals 180. First find the missing angle of the triangle with 2 given angles. The missing angle is 64 degrees because 68 plus 48 is 116 and 180 - 116 is 64. Vertical angles are always congruent and the missing angle is vertical to the missing angle on the first triangle.
Answer:
5.3 divided by 0.25 is 21.2
Answer:
x ≈ -7.73 , - 4.27
Step-by-step explanation:
x² + 12x + 33 = 0 ( subtract 33 from both sides )
x² + 12x = - 33
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(6)x + 36 = - 33 + 36
(x + 6)² = 3 ← take square root of both sides )
x + 6 = ± ( subtract 6 from both sides )
x = - 6 ±
Then
x = - 6 - ≈ - 7.73 ( to the nearest hundredth )
x = - 6 + ≈ - 4.27 ( to the nearest hundredth )