Solution:
we are given that
In a certain grocery store, strawberries cost $6.40 per pound ( 6.40 dollars/lb ).
we have been asked to find the cost per ounce?
As we know that
16 oz=1 lb
so we will divide by 16 to get the cost per ounce.
strawberries cost $6.40 per pound so for 1 oz it will cost $
Hence cost per ounce is 0.40 $
Emily- Jellyfish, Kite, Lolly
Ryan- Starfish, Football, Ice Cream
Tyler-Crab, Cricket, Hot Dog
So the rule with dividing exponents of the same base is to just subtract the exponents. Using this rule, we solve the equation as such:
Next, assuming that you only want positive exponents, to get from a negative exponent to a positive one the rule is . Using this rule, your final answer is going to be
Answer:
M (-3, -5/2)
N (3, -1)
Step-by-step explanation:
Solve the first equation for x.
4y = x − 7
x = 4y + 7
Substitute into the second equation.
x² + xy = 4 + 2y²
(4y + 7)² + (4y + 7)y = 4 + 2y²
Simplify.
16y² + 56y + 49 + 4y² + 7y = 4 + 2y²
18y² + 63y + 45 = 0
2y² + 7y + 5 = 0
Factor.
(y + 1) (2y + 5) = 0
y = -1 or -5/2
Plug back into the first equation to find x.
x = 4(-1) + 7 = 3
x = 4(-5/2) + 7 = -3
M (-3, -5/2)
N (3, -1)
The plane must descend at an angle of 7.25319°.
Step-by-step explanation:
Step 1; The plane is 44km away from the control tower and is flying at a height of 5.6 km. So a right-angled triangle can be formed using these measurements. The triangle's adjacent side measures 44 kilometers while the opposite side measures 5.6 kilometers. We need to find the angle of the triangle.
Step 2; Since we have the length of the opposite side and the length of the adjacent side we can determine the tan of any unknown angle. Assume the angle of the triangle is x°.
tan x° = = = 0.127272, x° = (0.127272) = 7.25319°.
So the plane's angle of descent must be 7.25319° to land near the control tower.