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Marrrta [24]
2 years ago
7

10. Use the following information to answer the questions: Today, everything at the mall is on sale. The store offers a 10% disc

ount.
a. The regular price of a T-shirt is $27. What is the discount price?

b. If the regular price of an item is x dollars, what is the discount price in dollars? Write an equation

c. The discount price of a socks is $13.50. What is the regular price?
Mathematics
1 answer:
Pie2 years ago
3 0

Answer:

a. The T-shirt on discount is $24.30

b. x = 0.9r

c. The regular price of the socks is $15

Step-by-step explanation:

If everything in the mall is at a 10% discount then you must multiply every regular sale by 0.9(90%). To get the regular price of the socks, you must divide by 0.9(10%).

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That’s pretty easy you just have to basically y=mx+b
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2 years ago
DESCRIBE DOMAIN WITH ALGEBRA in my screenshot (sorry caps)
bogdanovich [222]

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

3 0
2 years ago
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PLEASE HELP 40 POINTS
irinina [24]
(A) The value of x is 90 degrees. (B) The angle is a right angle.
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2 years ago
The half life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial am
Veronika [31]

Using an exponential function, it is found that:

a) N(t) = 75(0.5)^{\frac{t}{3.8}}

b) 37.5 grams of the gas remains after 3.8 days.

c) The amount remaining will be of 10 grams after approximately 11 days.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

Item a:

We start with 75 grams, and then work with a half-life of 3.8 days, hence the amount after t daus is given by:

N(t) = 75(0.5)^{\frac{t}{3.8}}

Item b:

This is N when t = 3.8, hence:

N(t) = 75(0.5)^{\frac{3.8}{3.8}} = 37.5

37.5 grams of the gas remains after 3.8 days.

Item c:

This is t for which N(t) = 10, hence:

N(t) = 75(0.5)^{\frac{t}{3.8}}

10 = 75(0.5)^{\frac{t}{3.8}}

(0.5)^{\frac{t}{3.8}} = \frac{10}{75}

\log{(0.5)^{\frac{t}{3.8}}} = \log{\frac{10}{75}}

\frac{t}{3.8}\log{0.5} = \log{\frac{10}{75}}

t = 3.8\frac{\log{\frac{10}{75}}}{\log{0.5}}

t \approx 11

The amount remaining will be of 10 grams after approximately 11 days.

More can be learned about exponential functions at brainly.com/question/25537936

4 0
2 years ago
Thuy wrote the system of equations. 24 x + 36 y = 72. Negative 16 x + 8 y = 80. If the second equation is multiplied by 3, what
Irina-Kira [14]

Answer:

multiply the first equation by 2

Step-by-step explanation:

24x + 36y = 72

-16x + 8y = 80

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y = 4

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24x + 144 = 72

24x = -72

x = -3

(-3, 4)

7 0
3 years ago
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