Step-by-step explanation:
4 servings = 2/3 cups of flour
=> 20 servings = 2/3 * (20/4) = 10/3 cups of flour.
Hence we need 10/3 cups of flour.
The difference between 9 thirty- sevens and 8 thirty sevens is 37
Step-by-step explanation:
We need to solve the difference between 9 thirty- sevens and 8 thirty sevens
It can be written in mathematical expression as:
Now solving:
So, The difference between 9 thirty- sevens and 8 thirty sevens is 37
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More information about algebraic expression can be found at:
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Keywords: Difference, Algebra, algebraic expression
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Revenue = 7.5x - 100
Operation Costs = 5.8x + 79.86
To break even, operation cost = Revenue
⇒ 7.5x - 100 = 5.8x + 79.86
7.5x = 5.8x + 179.86 (Add 100 to both sides)
7.5x - 5.8x = 179.86
1.7x = 179.86
x = 105.8
This implies that the company will need to sell at least 106 items to make a profit.
The inequality that will determine the number of items at need to be sold to make a profit is x ≥ 106
The solution to the inequality is as follows
Revenue = 7.5x - 100
if x =106
Revenue = 7.5(106) - 100
Revenue = 695
Operational Cost = 5.8x + 79.86
if x = 106
Operational Cost = 5.8(106) + 79.86
Operational Cost = 694.66
Profit ≥ (695 - 694.66)
Profit ≥ 0.34
The company must sell at least 106 items to make a profit.
Answer: 88 inches
Step-by-step explanation:
We know that the formula to find the circumference of circle is given by :-
, where r is the radius of the circle.
Given : Diameter of circle = 28 inches
Also, diameter is twice of radius.
i.e. 2r=28
Therefore, the circumference of circle will be :-
Hence, the circumference of circle is 88 inches.
Answer:
D) 55/73
Step-by-step explanation:
The question is on trigonometry. Sine of an angle is obtained using the SOH of SOHCAHTOA formula of trigonometry. SOH is an acronym for sine, opposite and hypotenuse. Sine of an angle is obtained from the ratio of opposite and hypotenuse of a given triangle. Thus, SOH
is denoted as stated below.
Hence, given the above triangle,
Therefore, the sine of angle u = 55/73 (D)