7. 4x+y=8 ----- first equation
(+)
-3x-y=0
_______
x = 8 ---- second equation
substitude second equation into first equation
4(8) + y = 8
32 + y = 8
y = 24
8. 2x+5y=20 ---- first equation
(-)
2x-5y =3
________
10y = 17
y = 17/10 ---- second equation
substitude second equation into first equation
2x + 5(17/10) = 20
2x + 17/2 = 20
4x + 17 = 40
4x = 23
x = 23/4
9. 3x+2y=-10 (×2) ---- first equation
2x-5y=3 (×3)
6x + 4y = - 20
(-)
6x - 15y = 9
___________
19y = - 29
y = - 29/19 ---- second equation
substitude second equation into first equation
3x + 2(-29/19) = - 10
3x - 58/19 = - 10
3x = - 132/19
x = - 44/19
Answer:
36
Step-by-step explanation:
we know that the interior angles equal 180 and that the triangles are congruent so, 66 + 78 = 144 so then we have to subtract 180 - 144 and that gives us 36
Hope I helped :)
(4 1/4 cups of flower)* (1 batch of cookies/ 1 2/3 cups of flour)= 2 11/20 batches of cookies.
Because Yolanda can't make 3 batches of cookies ( with 4 1/4 cups of flower she can only makes 2 11/20 batches of cookies) and the number of batches of cookies has to be a natural number, she can only make 2 batches of cookies.
Hope this helps~
Answer:what is 3/4÷1/2?
3/2 also know as 1 1/2
Step-by-step explanation:
Answer:
Your answer is D. 16 3/4
Step-by-step explanation:
10 1/12 + 6 2/3 = 67
4
= 16 3/4
= 16.75
Calculation steps
Conversion a mixed number to a improper fraction: 10 1/12 = 10 · 12 + 1/12
= 121/12
Conversion a mixed number to a improper fraction:
6 2/3 = 6 · 3+2/3
= 20/3
Add: 121/12 + 20/3 = 121/12 + 20 · 4/3 · 4 = 121/12 + 80 12 = 121 + 80/12 = 201/12 = 67/4