Answer:
Ms. Dunn bought 7 slices of pie.
Step-by-step explanation:
With the information provided, you can write the following equations:
x+y=24 (1)
0.80x+0.30y=10.70 (2), where:
x is the number of slices of pie
y is the number of cookies
First, you can solve for x in (1):
x=24-y (3)
Next, you have to replace (3) in (2) and solve for y:
0.80(24-y)+0.30y=10.70
19.2-0.80y+0.30y=10.70
19.2-10.70=080y-0.30y
8.5=0.5y
y=8.5/0.5
y=17
Finally, you can replace the value of y in (3) to be able to find the value of x:
x=24-17
x=7
According to this, the answer is that Ms. Dunn bought 7 slices of pie.
Answer:
89
Step-by-step explanation:
it equals 180-91
or 89
<span>2x+3y=7
x-y=1
</span>2x+3y=7
x=1+y
2*(1+y)+3y=7
x=1+y
2+2y+3y=7
x=1+y
5y=5 |(:5)
x=1+y
y=1
x=2
CHECK:
2x+3y=7
x-y=1
2*2 + 3*1 = 7
x-y = 1
2-1 = 1
Answer:
The correct answer is m∠2 = 120°
Step-by-step explanation:
There is a triangle rule that states the outer angle of an angle in a triangle is equal to the sum of the remaining two angles in that triangle, which means that m∠2 = 52° + 68° = 120°. This can be proven correct because the sum of two of the angles in the triangle is 120°, which means the final angle is 60°. Since m∠2 is the outer angle of 60°, that means it will be 180° - 60° or 120°.
Answer:
14 and 8
Step-by-step explanation:
Solution set:
x+y=22
4x=7y
Solving:
4(22-y)=7y
88-4y=7y
88=11y
8=y
8+14=22
