Answer:
Step-by-step explanation:
The shop sold 70 ice cream cones. It means that x + y = 70Small cones cost 3.95 and large cones cost 5.75. The total sales made from the selling 70 ice creams is $370.10. It means that 3.95x + 5.75y = 370.1 - - - - - - - - - -1Substituting x = 70 - y into equation 1, it becomes3.95(70 - y) + 5.75y = 370.1276.5 - 3.95y + 5.75y = 370.1- 3.95y + 5.75y = 370.1 - 276.51.8y = 93.6y = 93.6/1.8y = 52x = 70 - 52x = 18. Ww
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Answer:
1/2 or 0.5
Step-by-step explanation:
To find out what 2/3 is out of 3/4, we just have to multiply them together to get our exact answer.

Our final answer is 1/2 or 0.5.
Answer:
6 feets
Step-by-step explanation:
The triangle described in the question has been sketched in the picture attached below :
From the triangle, we could solve for X, which is the base of the triangle using trigonometry :
Sinθ = opposite / hypotenus
Sin 30° = x / 12
0.5 = x / 12
x = 12 * 0.5
x = 6 feets
Hence base, x = 6 feets
Answer:
$2000 was invested at 5% and $5000 was invested at 8%.
Step-by-step explanation:
Assuming the interest is simple interest.
<u>Simple Interest Formula</u>
I = Prt
where:
- I = interest earned.
- P = principal invested.
- r = interest rate (in decimal form).
- t = time (in years).
Given:
- Total P = $7000
- P₁ = principal invested at 5%
- P₂ = principal invested at 8%
- Total interest = $500
- r₁ = 5% = 0.05
- r₂ = 8% = 0.08
- t = 1 year
Create two equations from the given information:


Rewrite Equation 1 to make P₁ the subject:

Substitute this into Equation 2 and solve for P₂:





Substitute the found value of P₂ into Equation 1 and solve for P₁:



$2000 was invested at 5% and $5000 was invested at 8%.
Learn more about simple interest here:
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Step-by-step explanation:
Find equation
y - y1 = m(x - x1)
y + 9 = -5(x - 2)
y = -5x + 10 - 9
y = -5x + 1 → Equaton