Answer:
Therefore, the burritos cost $3.50 each and the tacos cost $2.50 each.
I hope this helps!
Step-by-step explanation:
Let x denote the price of the burrito and y denote the price of the taco.
Note that two burritos and five tacos cost 2x + 5y and five burritos and two tacos cost 5x + 2y. Since, they cost $19.50 and $22.50, respectively:
2x + 5y = 19.5. . . . . . . . . . . . . . . . . . . . .(1)
5x + 2y = 22.5. . . . . . . . . . . . . . . . . . . . .(2)
Multiplying (1) by 5:
5(2x + 5y) = 5(19.5)
==> 10x + 25y = 97.5. . . . . . . . . . . . . . . . .(3)
Multiplying (2) by 2:
2(5x + 2y) = 2(22.5)
==> 10x + 4y = 45. . . . . . . . . . . . . . . . . . .(4)
Subtracting (4) from (3):
(10x + 25y) - (10x + 4y) = 97.5 - 45
==> 21y = 52.5
==> y = 2.5.
Substituting y = 2.5 in (4) gives:
10x + 10 = 45 ==> x = 3.5.
Answer:
Vertex: (1, -4)
intercept: (-3, 0)
Step-by-step explanation:
lets be real, you don't care about an explanation you just want the answer.
BUT... the vertex is the Y line and the Intercept is the X line
Answer:
Jessica scored 835 points,
and Tina scored 717 points.
Step-by-step explanation:
Let $j$ stand for Jessica Bradley, and let $t$ stand for Tina Harner. By turning the words of this problem into equations, we get:
j - 118 = t
and, j + t = 1552.
Now that we have a system of equations, all we have to do now is to solve it.
By substituting the value of t (first equation) into the second equation, we get:
j + (j - 118) = 1552.
Get rid of the parentheses:
j + j - 118 = 1552
Simplifing:
2j - 118 = 1552
2j = 1670
j = 835.
Now that we know how many points Jessica scored, we can easily find out how many points Tina scored. By sticking in the value of Jessica's score into the first equation.
835 - 118 = t
t = 717.
So, the answer to this problem is (j, t) = (835, 717).
Answer: 17 containers
Step-by-step explanation:
Debbie bought 8 1/2 lb of ground turkey and she packed the turkey in 1/2 lb containers before put the turkeys in the freezer.
To calculate the number of containers she used for packing the turkey, we divide 8 1/2lb by 1/2 lb.
= 8 1/2 ÷ 1/2
We change 8 1/2 to improper fraction
= 17/2 ÷ 1/2
= 17/2 × 2/1
= 17
Debbie would need 17 containers to pack the turkey.
3323.5 because if you times the number left by the 15 percent this is the answer.