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3 years ago

A music store marks up the instruments it sells by 30%

Mathematics

1 answer:

Nat2105 [25]3 years ago

3 0

Answer:

A. $58.50, B. $80

Step-by-step explanation:

mark up percentage $\frac{store price - actual price}{actual price}$ x 100

30 x 45 = 100SP - 4500

5850 = 100SP

Store Price > therefore, $ 58.50

A. $58.50

Actual Price :

130 AP = 10400 - 100AP

AP > $80

B. $80

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3 years ago

Alyssa fed her dog 2/3 cup of dog food in the morning and another 5/8 cup in the evening. How much did her dog eat over the cour

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3 years ago

Read 2 more answers

Find the value of x:

slega [8]

Answer:

x = 20

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Using ΔAHC , then

∠ACH = 180 - (2x + 100) = 180 - 2x - 100 = 80 - 2x

∠ECD = ∠ACB ( vertical angles are congruent ), thus

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7 0

4 years ago

The linear function f i with values f(-1) = 10 and f(5) = -1 is f(x)

zhenek [66]

Answer:

Use the two points to compute the slope, m, then use one of the points in the form y=m(x)+b to find the value of b.

Explanation:

The equation for the slope, m, of a line is:

m=y1−y0x1−x0 [1]

The equation f(2)=−1 tells us that x0=2andy0=−1; substitute this into equation [1]:

m=y1−−1x1−2 [2]

The equation f(5)=4 tells us that x1=5andy1=4; substitute this into equation [2]:

m=4−−15−2 [3]

m=53

Substitute 53 for m into the equation y=m(x)+b

y=53x+b [4]

Substitute 2 for x and -1 for y and the solve for b:

−1=53(2)+b

b=−133

Substitute −133 for b in equation [4]:

y=53x−133 [5]

Check:

−1=53(2)−133
4=53(5)−133

−1=−1
4=4

Hope this helps

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3 years ago

The lifetimes of 10,000 watch batteries are normally distributed the mean lifetime is 500 days the standard deviation is 60 days

Lelu [443]

Given:
μ = 500 days, the population mean
σ = 60 days, the population standard deviation

Therefore
μ + σ = 560
μ - σ = 440
μ + 2σ = 620
μ - 2σ = 380
μ + 3σ = 680
μ - 3σ = 320

The figure shown below illustrates the normal distribution
About 68% of the total area lies in x = (μ-σ, μ+σ)
About 95% of the total area lies in x = (μ-2σ, μ+2σ)
About 99.7% of the total area lies in x = (μ-3σ, μ+3σ).

7 0

4 years ago