All we have to do here is divide how much she paid ($1.15) by how many pounds of dried fruit she bought (2.5 pounds)
1.15 ÷ 2.5 = 0.46
Therefore each pound costs $0.46
Hope this helps
-AaronWiseIsBae
Answer:
The length of the circular arc is 8.64 inches
Step-by-step explanation:
Length of circular arc (L) = central angle/360° × 2πr
central angle = pie/4 = 45°, r (radius) = 11 inches
L = 45°/360° × 2 × 3.142 × 11 = 8.64 inches (to two decimal places)
Answer:
3y^2 - (y + 2) (y - 2) = 0
<=> 3y^2 - (y^2 - 4) = 0
<=> 2y^2 + 4 =0
<=>y^2 + 2 = 0
=> Because y^2 is always equal or larger than 0, there is no real solution.
Hope this helps!
:)
Answer:
The correct answer is: She bought 2 dress shirts and 5 t-shirts
Step-by-step explanation:
Let's marked dress shirts with x and t-shirts with y.
Now we will make equations to solve this problem:
x + y = 7 => y = 7 - x
40 x + 8 y = 120
When we replace y = (7 - x) in the previous equation we get:
40 x + 8 (7 -x) = 120 40 x + 56 - 8 x = 120 => 32 x = 120 - 56 =>
32 x = 64 => x = 64/32 = 2 => x = 2
y = 7 - x = 7 - 2 = 5 => y = 5
x = 2 dress shirts
y = 5 t-shirts
God with you!!!
From the description given for the triangle above, I think the type of triangle that is represented would be a right triangle. This type of triangle contains a right angle and two acute angles. In order to say or prove that it is a right triangle, it should be able to satisfy the Pythagorean Theorem which relates the sides of the triangle. It is expressed as follows:
c^2 = a^2 + b^2
where c is the hypotenuse or the longest side and a, b are the two shorter sides.
To prove that the triangle is indeed a right triangle, we use the equation above.
c^2 = a^2 + b^2
c^2 = 20^2 = 10^2 + (10sqrt(3))^2
400 = 100 + (100(3))
400 = 400
