at a neighboring school, the ratio from boys to girls is 6:5. There are 209 students in the school. How many are girls?

Answers

Answer 1
Answer: There are several important information's already given in the question. Based on those given information's the answer to the question can be easily deduced.
Total number of students in the school = 209
Ration of the boys to girls in the school = 6:5
Let us assume the common ratio to be = x
Then
6x + 5x = 209
11x = 209
x = 209/11
   = 19
Then
The number of girls in the school = 19 * 5
                                                      = 95
So there are a total of 95 girls in the school that has a total of 209 students.

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Solve the equations in two different ways:6p=0.6(5p+15)

Answers

Answer:

Step-by-step explanation:

1st way:

Solve directly

6p=0.6(5p+15)

Open bracket

6p = 3p + 9

Collecting like terms

6p - 3p = 9

3p = 9

Dividing by 3

p = 9/3

p = 3

2nd way:

6p=0.6(5p+15)

Convert the decimal to fraction

6p= 6/10(5p+15)

6p= 3/5(5p+15)

6p= 3/5(5p) +3/5(15)

6p = 3p + 9

Collecting like terms

6p - 3p = 9

3p = 9

Dividing by 3

p = 9/3

p = 3

Lusia ran 3 2/3 kilometers in 1/3 of an hour. If speed is distance over time, calculate lusia's speed.

Answers

In the question, they give you the formula for speed...

speed = distance / time

They also give you the distance and the time, so all we have to do is stick them into the equation...

speed =  3 2/3 Km / 1/3 hour
speed = 3 2/3 / 1/3

To divide the fractions, first we need to convert 3 2/3 into an improper fraction

3 2/3 = 11/3

now we multiply 11/3 x the reciprocal of the divisor 1/3.  The reciprocal just means flip the numerator and denominator

speed = 11/3 x 3/1
speed = 33/3
speed = 11 Km/hour

Joan had a garden 10.1 m long and 4.2 m wide. She decides to fence it in to keep out the deer. The dimensions of the fence are 11.2 m long and 5.0 m wide. What is the area between the fence and the garden?

Answers

Answer:

14.08 m

Step-by-step explanation:

Start by finding the area of the fence and the area of the garden. Garden- 10.1*4.2=42.42   Fence-11.3*5=56.5

Now subtract the two values. 56.5-42.42=14.08

Which is more 0.02 or 0.1 ?

Answers

0.1 is the same as 0.10. If you forget the decimal it is 02 and 10 which is the same as 2 and 10. 10 is bigger than 2 so the answer is 0.1
.1 because if you change .1 to = .02 it is .10 and .10 is bigger than .2

At an animal shelter there are 15 dogs 12 cats 3 snakes and 5 parakeets which animal has 80% of the number of another animal

Answers

12 times 100 divided by 15 equals 80
So the answer is cats

two high speed trains are 480 miles apart and traveling towards each other. they meet in 3 hours. if one trains speed is 5 miles per hour faster than the other, find the speed of each train

Answers

Answer:

77.5 mph and 82.5 mph

Step-by-step explanation:

Let's say the speeds of the trains are x and x + 5.

The combined distance traveled by the trains is 480 miles.

480 = x × 3 + (x + 5) × 3

480 = 3x + 3x + 15

480 = 6x + 15

465 = 6x

x = 77.5

The speeds of the trains are 77.5 mph and 82.5 mph.

We can model the problem as follows: on a number line we put train A, with positive speed v_A, at the origin x=0.

At x=480 we put train B, with negative speed v_B.

So, the equations for the positions of the two trains are

\begin{cases}x_A = v_At\nx_B=480-v_Bt\end{cases}

We know that v_A=v_B+5, so we can rewrite the first equation:

\begin{cases}x_A = (v_B+5)t\nx_B=480-v_Bt\end{cases}

The two trains meet when they are at the same position:

x_A=x_B \iff (v_B+5)t=480-v_Bt

We know that this happens after 3 hours, i.e. when t=3:

3(v_B+5)=480-3v_B \iff 3v_B+15=480-3v_B \iff 6v_B = 465 \iff v_B=77.5

And since train A was 5 mph faster, we have

v_A=77.5+5=82.5