The ratio of boys to girls in a camp is 6 to 8. How many girls are there in the camp if there are 96 boys in the camp?

Answer:

2000007

Step-by-step explanation:

Answer:

8.5

Step-by-step explanation:

Step-by-step explanation:

square root of 26

becoz √26=5.099

=5.1

Answer:

square root of 26

Step-by-step explanation:

this is because when 26 is squared it equals 5.09902, so 5.1 is greater than 5

9514 1404 393

Answer:

  yes, the lines are perpendicular

Step-by-step explanation:

A graph of the line through the points (8, -4) and (3, 6) shows it has a slope of -2. That is the opposite reciprocal of the slope of 1/2 that the given line has.

When two lines have opposite reciprocal slopes, they are perpendicular.

The lines are perpendicular.

__

If you like you can compute the slope using the slope equation:

  m = (y2 -y1)/(x2 -x1)

  m = (6 -(-4))/(3 -8) = 10/-5 = -2

Answer:

C

Step-by-step explanation:

Given the 2 equations

y = [tex]\frac{1}{3}[/tex] x + 2 → (1)

- x + 3y = 6 → (2)

Substitute y = [tex]\frac{1}{3}[/tex] x + 2 into (2)

- x + 3([tex]\frac{1}{3}[/tex] x + 2) = 6 ← distribute left side

- x + x + 6 = 6, that is

6 = 6 ← True

This statement indicates the system has infinitely many solutions

The given system of equations has infinitely many solutions.

We have the following system of equations -

y = 1/3x + 2

–x + 3y = 6

We have -

- x + 3y = 6

x = 3y - 6

Then -

y = 1/3(3y - 6) + 2

y = y - 2 + 2

y = y

Therefore, the given system of equations has infinitely many solutions.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Answer:

you would use division to change bigger units into smaller ones as a form of cancellation

Step-by-step explanation:

sin90 = sinx

19 17

sin x=0.8947

x=63.47°

Answer:

Tess = 71 y/o

Nina = 63 y/o

Katy = 55 y/o

Step-by-step explanation:

First step: divide their age equally.

189÷3 = 63 years old / person

Second step: calculate the different between their age.

Tess>Nina>Katy

Different between:

Katy and Tess

= 16 years

Nina and Katy

= 8 years

Tess and Nina

= 16–8

= 8 years

Third step: Calculate their age.

Tess = 63+8

= 71 years old (because she is 8 years older than Nina and 16 years older than Katy)

Nina = 63 years old ( it doesn't change because she is in the middle)

Katy = 63–8

= 55 years old (because she is 8 years younger than Nina and 16 years younger than Tess)

To confirm, you can sum their age and check the age differences like what have been told in the question either it is correct or not.

71+63+55

= 189 years

Answer:

You would earn $637

Equation: (4,800x6.5%)+325

Step-by-step explanation:

6.5%= 0.065

So 4800 times 0.065 is 312.

Then you add 312 to the weekly salary of 325

325+312= 637

Answer:

One Solution:

No Solution:

Infinity many solutions:

Step-by-step explanation:

We will see the system of equations one by one.

First system of Equation:

[tex]y = 0.5x-2\\y=-0.5x+4[/tex]

It can clearly be seen that the two lines formed by the given equations are in opposite direction and they will have one intersection point so only one solution

Second System of Equation:

[tex]y=0.5x+5\\y=0.5x+1[/tex]

This system also has no solution as the equations represent parallel lines and if we try to solve them we will get the solution in the form 0 = constant.

Third System of Equations:

[tex]y =2x+1\\y = -4x+1[/tex]

The given equations will have a unique solution because the lines have different slopes or when graphed, they will have an intersection point.

Fourth System of Equations:

[tex]y=3x+2.5\\y=3x+2.5[/tex]

The lines formed by these lines will overlap each other so there will be infinity many solutions.

Fifth System of Equations:

[tex]y=-x-3\\y=-x+3[/tex]

These equations represent parallel lines so there will be no solution.

Sixth System of Solution:

[tex]y=-x-2\\y=-x-2\\[/tex]

The system will have infinite number of solutions

Hence,

One Solution:

No Solution:

Infinity many solutions:

Answer:

the first answer is correct

Step-by-step explanation:

Step-by-step explanation:

Step one:

mass of Freight car=25tons

the rate of filling is 1/3 ton per minute

let the time taken to fill the freight car be x

and the total mass after x minute be y

Hence the mass as a function of time is expressed as

y=25+1/3x----------1

mas of dump truck=55tons

rate of being emptied= 1/6 tons per minute

let the time taken to empty the dump truck be x

and the total mass after x minute be y

Hence the mass as a function of time is expressed as

y=55-1/6x----------2

Step two:

equating equations 1 and 2,

1. The tucks will weigh the same in

55-1/6x=25+1/3x

collect like terms

55-25=1/3x+1/6x

30=(2+1/6)x

30=3/6x

30=1/2x

30=0.5x

x=30/0.5

x=60min

or

1 hour

The tucks will weigh the same in  60minutes(1 hour)

2. How much coal will be in each truck when they weigh the same?

For the  train freight car, the weight after 60 minutes is

y=25+1/3(60)

y=25+20

y=55tons

55-25=20tons

There will be 20tons

For the  dump truck, the weight after 60 minutes is

y=55-1/6(60)

y=55-10

y=45tons

55-45=10tons

There will be 10tons

Answer:

3x+5 ????

Step-by-step explanation:

Answer:

I think the answer is 136

Answer:

Step-by-step explanation:

First, we subtract 133-65 to find out how many new necklaces she need to buy

The answer is 68

Now, two necklaces costs $1, meaning one necklace costs ¢50, or $0.50.

So, we just multiply the number of necklaces (68) by the cost per necklace (0.5)

68×0.5=34

she will need to spend $34 to have a total of 133 necklaces

Answer:

3.14

Step-by-step explanation:

Answer:

= $28.90

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

225 divided by 25 is 9.

Answer:

B. 400

Step-by-step explanation:

4×4 =16

5^2 = 25

25×1= 25

16×25= 400

Answer:

[tex]3\sqrt{3} + 72[/tex]

Step-by-step explanation:

I attached an image to aid the understanding of the question.

Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:

[tex]9 \times 8 = 72ft^{2}[/tex]

It remains the area of the shaded square with side S.

From the question, we have the following ratio:

[tex]\frac{9}{S} = \frac{S}{T}[\tex]

But

[tex]\frac{9}{S} = \frac{S}{3}[\tex]

Multiplying through by 3S we have

27 = S² and this gives:

[tex]S = \sqrt{27} = 3\sqrt{3}[/tex]

I did not add ± because length is always positive, so the case of negative is eliminated.

Now the areas of S is [tex]3\sqrt{3}[/tex]

Therefore, the total area of the shaded squares is

[tex]3\sqrt{3} + 72[/tex]

Answer:

17

Step-by-step explanation:

We are given that [tex]$\frac{9}{\text{S}}=\frac{\text{S}}{\text{T}}=3.$\[\frac{9}{\text{S}}=3\][/tex]gives us S=3, so[tex]\[\frac{\text{S}}{\text{T}}=3\][/tex]gives us T=1. There are 8 shaded squares with side length [tex]$\text{T}$[/tex] and there is 1 shaded square with side length [tex]$\text{S},$[/tex] so the total shaded area is [tex]$8\cdot(1\cdot1)+1\cdot(3\cdot3)=8+9=\boxed{17}.$[/tex]

Answer:

- 4 < x ≤ 5

Step-by-step explanation:

The line is from - 4 to 5

The open circle at - 4 indicates that x cannot equal - 4

The closed circle at 5 indicates that x can equal 5

The inequality is then

- 4 < x ≤ 5

Answer:

The answer is C 100

Step-by-step explanation:

Answer:

3,000

Step-by-step explanation:

Just multiply every decagram by 1,000

Answer:

charlie is the one,im pretty sure

Answer:

80°

Step-by-step explanation:

because a straight parallel line is 180°

Answer:

x=100°

because line AD//EH

therefore alternate angle are equal

so x=100°

Answer:

whole number

Step-by-step explanation:

its not a decimal and its not a fraction

Answer:

Value of what?

Step-by-step explanation:

Put your question DB and I'll answer!

Answer:

x = 15

Step-by-step explanation:

x = 15 means that if you have 1 + x and plug in the 15 for x, 1 + 15 you will get 16.

Note: I'm not quite sure what the question is on this one, but I hope I could help.

Answer:

miles driven by sam =215 miles

Miles driven by Tony =  305 miles.

Step-by-step explanation:

Let the miles driven by sam is x

given that Tony drove 90 miles more than sam

miles driven by Tony  = miles driven by sam + 90 = x + 90

Total miles driven by them together

= miles driven by Tony + miles driven by sam = x + 90 + x = 2x + 90

given

Tony and Sam are sharing the driving on a 520-mile trip

2x + 90  = 520

2x = 520 - 90 = 430

x = 430/2 = 215

Thus,

miles driven by sam = x = 215 miles

Miles driven by Tony = x + 90 = 215 + 90 = 305 miles.

Answer: a reflection could i think

Step-by-step explanation:

Answer: A & C

Step-by-step explanation:

Answer:

give me brainliest please

Step-by-step explanation:

To find the equation of a line that passes through two points, use point-slope form.

[tex]y-y_{1} = m(x-x_{1})[/tex] ...

where [tex](x_{1}, y_{1})[/tex] is the first point, and [tex]m[/tex] is the slope.

Start with the slope (m). To find the slope, you find the change in y over change in x, or  [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] = [tex]\frac{-6-3}{1-4}[/tex] = [tex]\frac{-9}{-3}[/tex] = 3

[tex]m=3[/tex]

Then, put the values into point-slope equation.

[tex]y-y_{1} = m(x-x_{1})[/tex]  =  [tex]y-3 = 3(x-4)[/tex]  =  [tex]y-3 = 3x-12[/tex]  =  [tex]y = 3x-9[/tex]

Answer:

38:90, or if simplified  19:45.