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3 years ago

Which situation could be represented by the equation 15.5 = x/2

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

4 0

Answer:

C. Julie drive 15.5 miles from her home to the grocery store. Julie drives the same path going back home. What is x, the total amount of miles traveled to the grocery store and back home?

Step-by-step explanation:

The situation in the 3rd option represents the equation, 15.5 = x/2.

Distance driven by Julie to the grocery store = 15.5 miles

Distance driven by Julie back home following the same path = 15.5 miles

Total amount of miles travelled to and fro the store, x, = 2*15.5

This means, the mile's covered going to the store or coming back home can be expressed as ½ the total amount of miles, x, covered. Which is: 15.5 = ½x

Therefore, the third option represents the equation, 15.5 = x/2.

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Suppose that f(x)=x2 and g(x) =4/5x2. Which statement best compares the graph of f(x)?

Roman55 [17]

Answer:

See below.

Step-by-step explanation:

Are f(x)=x2 and g(x) =4/5x2 correctly written?

This answer assumes they are supposed to be:

f(x)=x^2 and g(x) = (4/5)x^2

If these revisions are correct, g(x) would produce values that are (4/5) of f(x).

See attached graph.

I don't see any of the options for "best statement."

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2 years ago

Jonathan bought a calculator for X$. Cindy bought the same calculator for 3 times more than Jonathan paid for his calculator. Wh

Andrej [43]

Answer:

3x or 3*x

Step-by-step explanation:

5 0

3 years ago

At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 18 m

Colt1911 [192]

Answer:

99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 4 minutes

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Empirical Formula:

Almost all the data lies within three standard deviation from the mean for a normally distributed data.
About 68% of data lies within one standard deviation from the mean.
About 95% of data lies within two standard deviations of the mean.
About 99.7% of data lies within three standard deviation of the mean.

Thus, 99.7% of the customers have to wait:

$\mu -3\sigma = 18-3(4) = 6\\\mu +3\sigma = 18+3(4) = 30$

Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

3 0

3 years ago

4 times a number is 32 less than the square of that number. Find the negative solution.

zvonat [6]

Answer:

The negative solution is -4

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = a number

4x = x² - 32 (4 times a number is 32 less than the square of that number)

2. Let's solve for x and find the negative solution:

4x = x² - 32

-x² + 4x + 32 = 0

x² - 4x - 32 = 0 (Multiplying by - 1)

(x - 8) (x + 4) = 0

(x₁ - 8) = 0

(x₂ + 4) = 0

x₁ = 8

x₂ = -4

The negative solution is -4

3 0

2 years ago

Solve the formula A=12bh for h when A=90 and b=15. Write the answer in decimal form.

ohaa [14]

Answer:

Given,

A=90

b=15

A=12bh

Now,

Step-by-step explanation:

Put the given value in the formula

A=12bh

90=12*15*h

90=180h

90/180=h

Hence, h=0.5

4 0

2 years ago