Answer:
Step-by-step explanation:
Let x represent the cost of one white chocolate pretzel.
Let y represent the cost of one dark chocolate pretzel.
Rico bought 4 white chocolate pretzels and 6 dark chocolate pretzels for $10.50. This means that
4x + 6y = 10.5 - - - - - - - - - - -1
Holden bought 8 white chocolate and 3 dark chocolate pretzels for $9.75. This means that
8x + 3y = 9.75 - - - - - - - - - 2
Multiplying equation 1 by 8 and equation 2 by 4, it becomes
32x + 48y = 84
32x + 12y = 39
Subtracting, it becomes
36y = 45
y = 45/36 = $1.25
Substituting y = 1.25 into equation 1, it becomes
4x + 6 × 1.25 = 10.5
4x + 7.5 = 10.5
4x = 10.5 - 7.5 = 3
x = 3/4 = $0.75
the total cost for 6 white chocolate pretzels and one dark chocolate pretzel would be
6 × 0.75 + 1 × 1.25 = 4.5 + 1.25 = $5.75
Answer:
x = 86
y = 67
z = 94
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
38 + 56 + x = 180
94 + x = 180 subtract 94 from both sides
x = 86
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the value of z:
56 + 38 = 94
again the sum of interior angles in a triangle is equal to 180:
19 + z + y = 180 we found z as 94
19 + 94 + y = 180
113 + y = 180 subtract 113 from both sides
y = 67
Let m the tens digit and n the ones
the Original number is 10m+n
7(m+n) =10m+n
7m+7n=10m+n
6n=3m
Reversing the number 10n+m
10n+m=18+n+m
9n=18
n=2
6n=3m
6(2)=3m
3m=12
m=4
the number is 10m+n=10(4)+2=42
It’s 2 and 3 bc 6a+12 and then 3(2a+4) and you need to distribute for that so 3 times 2a equals 6a and 3 times 4 equals 12 so you get 6a+12
