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Olin [163]
3 years ago
6

On Thursday, a local hamburger shop sold a combined total of 327 hamburgers and cheeseburgers. The number of cheeseburgers sold

was two times the number of hamburgers sold. How many hamburgers were sold on Thursday?
Mathematics
1 answer:
jeka943 years ago
5 0

Answer:

The number of hamburgers is 109.

Step-by-step explanation:

Let h = number of hamburgers

Let c = number of cheeseburgers

The total number sold gives us the equation below.

h + c = 327

"The number of cheeseburgers sold was two times the number of hamburgers sold.

This gives us the equation

c = 2h

Now we substitute c with 2h in the first equation and solve for h.

h + 2h = 327

3h = 327

h = 109

The number of hamburgers is 109.

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Add: -5g^2+(-9g^2-8)
Amiraneli [1.4K]

Answer:

\boxed{-14g^2 - 8}

Step-by-step explanation:

-5g^2 + (-9g^2 - 8)

= - 5g^2 - 9g^2 - 8

= -14g^2 - 8

3 0
3 years ago
Pleaseee help!
user100 [1]

Step-by-step explanation:

f(3)=?

f(x)=2x+5

put x=3,

f(3)=2(3)+5=6+5=11

------------

g(2)=?

g(x)=x^2-3

put x=2,

g(2)=2^2-3=4-3=1

-----------------

g(f(-1))=?

g(x)=x^2-3

and f(-1)=2(-1)+5= -2+5=3

so g(f(-1))=3^2-3=9-3=6

----------------

f(g(-1))=?

f(x)=2x+5

g(x)=g(-1)=(-1)^2-3=1-3= -2

f(g(-1))=2(-2)+5= -4+5=1

----------------

g(f(x))=?

g(x)= x^2-3

put x=f(x),

g(f(x))=f(x)^2-3=(2x+5)^2-3=4x+25+20x-3=24x+25

7 0
3 years ago
"the life length x (in years) of a dvd player" is exponentially distributed with mean 5 years. what is the probability that a mo
loris [4]
The exponential distribution is:
\lambda e^{- \lambda x}
where \lambda = \frac{1}{mean}=\frac{1}{5}

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.
P(A|B) = \frac{P(A and B)}{P(B)}
where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:
P(x \ \textgreater \ N) = \int_N^{\infty} \frac{1}{5} e^{-x/5} dx = e^{-N/5}

Sub into conditional probability formula:

P(x \ \textgreater \ 8 | x\ \textgreater \ 5) = \frac{P(x\ \textgreater \ 8)}{P(x\ \textgreater \ 5)} = \frac{e^{-8/5}}{e^{-5/5}} = e^{-3/5} = 0.549

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%
3 0
3 years ago
these are typical bowling scores for 16-20 year olds: 74, 88, 89, 95, 99, 100, 101, 106. What is the mean for the data?
kakasveta [241]
Mean is 94.
Add all of them and then divide with add numbers and medain
3 0
3 years ago
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Expand to write an equivalent expression: -1/4(-8x+12y)
dalvyx [7]

Answer:

 

8x -12

Step-by-step explanation:

Use the distributive property. 16 outside wishes to go inside and multiply each term; you get 16x/2 which is 8x minus ¾ of 16 which is 12.

 

3 0
3 years ago
Read 2 more answers
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