X - price per pound of cheddar cheese;
y - price per pound of chicken loaf;
2 x + 3 y = 26.35 / * 2
1.5 x + 2 y = 18.35 / * ( - 3 )
---------------------------------
4 x + 6 y = 52.7
+
-4.5 x - 6 y = - 55.05
-----------------------------
- 0.5 x = - 2.35
x = 2.35 : 0.5
x = $4.7
6 y = 52.7 - 18.8
6 y = 33.9
x = 33.9 : 6
y = $5.65
Answer: Cheddar cheese costs $4.7 per pound and chicken loaf costs $5.65 per pound.
Answer: 5 cm
Step-by-step explanation:
h = 22
l = 7
b = 5
volume of cuboid = lbh
= 22x7x5
=770 cm3
r = 7
770 = pi r^{2} h
770 = 22/7 x 49 x h
770 = 22 x 7 x h
110 = 22 x h
h = 5 cm
Answer:
A, C, E
Step-by-step explanation:
Substitute the x- coordinate of the points into the equation and if the result is equal to the y- coordinate of the point then it is a solution.
A (- 2, 5 )
y = 2² + 1 = 4 + 1 = 5 → (- 2, 5 ) is a solution
B (- 1, 0 )
y = (- 1)² + 1 = 1 + 1 = 2 ≠ 0 ← not a solution
C (1, 2 )
y = 1² + 1 = 1 + 1 = 2 → (1, 2 ) is a solution
D (2, 4 )
y = 2² + 1 = 4 + 1 = 5 ≠ 4 ← not a solution
E (3, 10 )
y = 3² + 1 = 9 + 1 = 10 → (3, 10 ) is a solution
Step-by-step explanation:
every flip has 2 possible outcomes.
1 flip has 2.
2 flips have 2×2 = 2² = 4
3 flips have 2×2×2 = 2³ = 8
and so on.
the number of possible combinations flipping a coin n times is
C(n) = 2^n
for 10 flips
C(10) = 2¹⁰ = 1024
possible outcomes or combinations.
Answer:
The hawk reaches the rabbit at t=4.3 sec
Step-by-step explanation:
Let
h ----> is the height in feet
t ----> is the time in seconds
v ---> the initial velocity in feet pr second
s ----- is the starting height
we have
![h=-16t^{2} +vt+s](https://tex.z-dn.net/?f=h%3D-16t%5E%7B2%7D%20%2Bvt%2Bs)
when the hawk reaches the rabbit the value of h is equal to zero
we have
![v=55\ ft/sec](https://tex.z-dn.net/?f=v%3D55%5C%20ft%2Fsec)
![s=60\ ft](https://tex.z-dn.net/?f=s%3D60%5C%20ft)
substitute
![0=-16t^{2} +55t+60](https://tex.z-dn.net/?f=0%3D-16t%5E%7B2%7D%20%2B55t%2B60)
Solve the quadratic equation by graphing
The solution is t=4.3 sec
see the attached figure