Answer:
Jersey cost $8 and pair of shorts $5
Step-by-step explanation:
There are several ways to solve this, but I will find the solution using the system of equations.
Let's mark price of jersey with x, and price of pair of shorts with y. That means:
12x + 12y = 156
4x + 6y = 62
Now, we can multiply the second equation with -2 to cancel out y:
12x + 12y = 156
-8x - 12y = -124
That only leaves us with:
12x - 8x = 156 - 124
4x = 32
x = $8
Now we plug the value for x into any equation to find y:
4x + 6y = 62
32 + 6y = 62
6y = 30
y = $5
Answer:
4 inches. if the volume is 64, then the length, width, and height are all 4 inches. 4 x 4 x 4 = 64. hope this helps
Step-by-step explanation:
- Zombie
Answer:
The perimeter of triangle PQR is 17 ft
Step-by-step explanation:
Consider the triangles PQR and STU
1. PQ ≅ ST = 4 ft (Given)
2. ∠PQR ≅ ∠STU (Given)
3. QR ≅ TU = 6 ft (Given)
Therefore, the two triangles are congruent by SAS postulate.
Now, from CPCTE, PR = SU. Therefore,
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Now, side PR is given by plugging in 3 for 'y'.
PR = 3(3) - 2 = 9 - 2 = 7 ft
Now, perimeter of a triangle PQR is the sum of all of its sides.
Therefore, Perimeter = PQ + QR + PR
= (4 + 6 + 7) ft
= 17 ft
Hence, the perimeter of triangle PQR is 17 ft.
Answer
1.4 cups
when you divide 7/5 you get 1.4 cups
1.4 lies between 1 and 2
so:
1-------1.4------2
Answer:
4 consecutive goals
Step-by-step explanation:
If 3 of last 10 field goals = 30%
Which is equivalent to
(Number of goals scored / total games played) * 100%
(3 / 10) * 100% = 30%
Number of consecutive goals one has to score to raise field goal to 50% will be:
Let y = number of consecutive goals
[(3+y) / (10+y)] * 100% = 50%
[(3+y) / (10+y)] * 100/100 = 50/100
[(3+y) / (10+y)] * 1 = 0.5
(3+y) / (10+y) = 0.5
3+y = 0.5(10 + y)
3+y = 5 + 0.5y
y - 0.5y = 5 - 3
0.5y = 2
y = 2 / 0.5
y = 4
Therefore, number of consecutive goals needed to raise field goal to 50% = 4