Answer:
x = -2, y = 3
Step-by-step explanation:
2x + 3y = 5
5x - 2y = -16
In order to find the value of a variable, we must eliminate the other variable by multiplying the equations to get the same coefficient.
We can multiply the first equation by 5 and the second one by 2 to get the same coefficient for x, the equations then become:
10x + 15y = 25
10x - 4y = -32
Now we can subtract:
19y = 57
y = 3
Since we know the value of y, we can substitute it into one of the original equations:
2x + 3(3) = 5
2x + 9 = 5
2x = -4
x = -2
Hello!
To find how much batches of cookies the factory made, we need to divide the total number of bags of flour used by how many bags of flour are needed for one batch of cookies.
Before dividing, we need to convert the complex fraction into an improper fraction.
1 1/5 → 5 × 1 + 1 = 6/5
7 1/5 → 5 × 7 + 1 = 36/5
For every batch of cookies, the factory uses 6/5 bags of flour. Yesterday, the factory used 36/5 bags of flour.
Remember when dividing by a fraction, it is like multiplying its reciprocal. This means that the second fraction is flipped, then which it can be multiplied together.
→ 
Therefore, the cookie factory made 6 batches of cookies yesterday.
Answer:
-6
Step-by-step explanation:
2 - [6 ÷ 2 + {6 × 1/2 + (7/2 - 3/2)}] =
Follow the correct order of operations.
Do one step at a time and copy everything else each time, so you don't lose track of any operation.
= 2 - [6 ÷ 2 + {6 × 1/2 + 4/2}]
= 2 - [6 ÷ 2 + {6 × 1/2 + 2}]
= 2 - [6 ÷ 2 + {3 + 2}]
= 2 - [6 ÷ 2 + 5]
= 2 - [3 + 5]
= 2 - 8
= -6
Answer:
∠1 = ∠3 = 54°; ∠2 = 36°
Step-by-step explanation:
Each of the triangles is isosceles. Triangles opposite each other are congruent, so ∠2 is congruent to 36°.
∠2 and ∠3 are complementary, so ∠3 is 54°. Since ∠3 is congruent to ∠1, it, too, is 54°.
The children's ticket would be $7 each and the adult ticket would be $9.
