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Black_prince [1.1K]
2 years ago
6

Serenity needs to lease out a music studio to record her new album the studio charges an initial studio use fee of 400 plus an h

ourly fee of 150 write an equation for p in terms of t representing the amount of money serenity would have to pay to use the studio for t hours
Mathematics
1 answer:
Alexandra [31]2 years ago
3 0

Answer:

Step-by-step explanation:

P= 150t + 400

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Are the ratios 25/45 and15/27 proportional?
AleksAgata [21]

Answer:

Yes.

Step-by-step explanation:

Reduce each one to lowest terms:

25/45 = 5/9  (dividing top and bottom by 5).

15/27 = 5/9   (dividing top and bottom by 3)

8 0
3 years ago
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An experiment has four equally likely outcomes: E1, E2, Es, and E.Round your answers to three decimal places. a. What is the pro
V125BC [204]

Answer:

a. 0.25

b. 0.50

c. 0.75

Step-by-step explanation:

P(E1) = 0.25

P(E2) = 0.25

P(Es) = 0.25

P(E) = 0.25

a. Since there are 4 outcomes with the same probability of occurring, the probability of E occurring is:

P(E) = \frac{1}{4}=0.25

b. The probability of any two outcomes occurring is twice the probability of a single outcome occurring

P(two\ outcomes) = 2*P(one\ outcome) = \frac{2}{4}=0.50

c. The probability of any three outcomes occurring can be written as 100% minus the probability of the remaining outcome occurring

P(three\ outcomes) = 1-P(one\ outcome) = 1-\frac{1}{4}=0.75

6 0
3 years ago
Se lanza un objeto desde una plataforma.
jasenka [17]

Answer:

6 seconds

Step-by-step explanation:

<u><em>The question in English is</em></u>

An object is thrown from a platform.

Its height (in meters), x seconds after launch, is modeled by:

h(x)=-5x^2+20x+60

How many seconds after the launch does the object reach the ground?

Let

x ----> the time in seconds

h(x) ---> the height of the object

we have

h(x)=-5x^2+20x+60

we know that

When the object hit the ground the height is equal to zero

so

For h(x)=0

we have

-5x^2+20x+60=60

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-5x^2+20x+60=60

so

a=-5\\b=20\\c=60

substitute in the formula

x=\frac{-20\pm\sqrt{20^{2}-4(-5)(60)}} {2(-5)}

x=\frac{-20\pm\sqrt{1,600}} {-10}

x=\frac{-20\pm40} {-10}

x=\frac{-20+40} {-10}=-2

x=\frac{-20-40} {-10}=6

The solution is x=6 sec

The he object reach the ground at x=6 seconds

7 0
3 years ago
Suppose Cone A is similar to Cone B and the scale factor between the solids is 3:2, respectively. If the height of Cone A is 15
blondinia [14]

Answer:

10\ inches

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

x----> the height of cone B

using proportion

\frac{3}{2}=\frac{15}{x} \\ \\x=2*15/3\\ \\x=10\ in

4 0
3 years ago
The product of x and 9 equals 45
adell [148]

Answer:

5

Step-by-step explanation:

because ?*9=45

45÷9=5

4 0
3 years ago
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