A DJ has a total of 1075 dance, rock, and country songs on her system. The dance selection is three times the size of the rock selection. The country selection has 105 more songs than the rock selection. How many songs on the system are dance? Rock? Country? Please help! This has to do with substituting linear equations.

Answers

Answer 1

Answer: $D+R+C=1075\nD=3R\nC=R+105\n\n(3R)+R+(R+105)=1075\n5R=970\nR=194\n\nD=3(194)=\nD=582\n\nC=(196)+105=\nC=301$

582 dance songs.
194 rock songs.
301 country songs.

Answer 2

Answer:

Answersub to me melodwybae

Step-by-step explanation:

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What is the volume of a triangular prism with dimensions of 5 cm, 7 cm, and 2 cm?

Answers

Given:
5cm ; 7cm ; 2cm

Since the measurement were not identified, I'll just state the formula for finding the volume of a triangular prism.

Volume of triangular prism = 1/2 * base * height * length
V = 1/2 * 5cm * 7cm * 2cm
V = 1/2 * 70cm³
V = 35 cm³

Volume of a triangular prism is 35cm³

There are 20 million bacteria per square centimeter of coral in a coral reef. The coral reef covers 13000 km^2. How many bacteria are there in the coral reef?

Answers

Answer:

2.6 * $10^(21)$ bacteria

Step-by-step explanation:

We know that there are 20 million bacteria in 1 $cm^2$ of coral reef. Let's write the number of bacteria in scientific notation with powers of 10:

$20,000,000= 2*10^7$

Now let's write 1 $cm^2$ in square meters, knowing that one cm equal 0.01 meter ( $10^(-2)$ meters:

$1 \, cm^2 = 1* (10^(-2)\,m)^2= 10^(-4)\, m^2$

So now we can find how many bacteria there is in one $m^2$ of coral reef:

Number of bacteria in $1\,m^2 = 2 * 10^7* 10^4 = 2 * 10^(11)$ bacteria

we can now express 13000 $km^2$ in $m^2$ knowing that 1 km = 1000 m = $10^3$ m:

$13000\,km^2= 1.3 * 10^4 \,km^2=1.3 * 10^4*(10^3m)^2= 1.3*10^4*10^6\'m^2=$

Since we know the number of bacteria per every $m^2$ of coral reef, the number of bacteria in $1.3*10^(10)\,m^2$ of coral reef will be the product of these two numbers:

Total number of bacteria: $2*10^(11) * 1.3*10^(10)=2.6* 10^(21)$

Eight more than the number of children is 24

Answers

$x-the\ number\ of\ children\n\nx+8=24\ \ \ |subtract\ 8\ from\ both\ sides\n\n\boxed{x=16}$

I need help on the following questions there are 3 files.You may add a file if you prefer.THANKS>

Answers

The first one is 18.5. That was a result of dividing decimals.
Second one is $4.82 because you are trying to find the unit rate.
Third is 2608.75 dollars earned. You multiply the number of memberships with cost, 152. Now you add that with the monthly earnings, resulting in that answer.

Is 3/8 percentage same as 0.375 as a decimal ?

Answers

3/8 is the same amount as 0.375.

3/8 is not percentage.

Yes, yes it is. 8 divided by 3 equals 0.375.

What is the unit rate of 600 miles in 7 hours ?

Answers

The unit rate of 600 miles in 7 hours is 85.71 miles per hour.

Given that, distance= 600 miles and time= 7 hours.

What is the unit rate?

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Here unit rate is

Speed =Distance/Time

= 600/7

= 85.71 miles per hour

Therefore, the unit rate of 600 miles in 7 hours is 85.71 miles per hour.

To learn more about the unit rate visit:

brainly.com/question/11258929.

#SPJ5

85.7 miles per hour. divide 600 by 7 to get a one hour rate

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