4(9 + 4) – 6(9+2)
Pleaseeeeeeee helllppppp

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:

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:

3x+5 ????

Step-by-step explanation:

Answer: Php 628

Step-by-step explanation:

Nina got two bags but paid for the price of one according to the sale.

The cost of each bag will therefore be the total price divided by 2 which is;

= 1,256/2

= Php 628

Answer:

38:90, or if simplified  19:45.

Answer:c

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

225 divided by 25 is 9.

Answer:

whole number

Step-by-step explanation:

its not a decimal and its not a fraction

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:

4/4=1

Step-by-step explanation:

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:

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:

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:

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:

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:

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: a reflection could i think

Step-by-step explanation:

Answer: A & C

Step-by-step explanation:

Answer:

8.09

9.1 is obviously greater than 8.9, when you compare the numbers.

And the other numbers are all 8 in the ones place (to the left of the decimal). So, you have to look at the number in the tenths place (to the right of the decimal). 8.09 has a "0" in the tenths place, & 8.9 has a "9" in the tenths place, making 8.09 less than 8.9.

If you compared the 2 remaining numbers 8.91 & 8.99, they would both be greater, because since they all have the same number in the tenths place, you have to move on to comparing the next number, which would be in the hundreths place (2 digits to the right of the decimal).

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

Step-by-step explanation:

sin90 = sinx

19 17

sin x=0.8947

x=63.47°

Answer:

3,000

Step-by-step explanation:

Just multiply every decagram by 1,000

Answer:

charlie is the one,im pretty sure

Answer:

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

Answer:

7) B, C

8) D

Step-by-Step-Explanation:

The first thing you need to solve for is the the parenthesis

the second one simplifies to x ≤ -7

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

Answer:

B. 400

Step-by-step explanation:

4×4 =16

5^2 = 25

25×1= 25

16×25= 400

Answer:

The answer is C 100

Step-by-step explanation:

Answer:

Nope! Thats as simplified as it gets!

Answer:seems like it cant

Step-by-step explanation:

Sure whats the problem?

The value of the expression 5³ is 125.

We have,

The concept used in calculating the value of 5 raised to the power of 3 is exponentiation.

In mathematics, exponentiation is an operation that involves raising a base number to a certain power.

The base number (in this case, 5) is multiplied by itself repeatedly, where the number of times it is multiplied is determined by the exponent (in this case, 3).

When we raise 5 to the power of 3, we can interpret it as multiplying 5 by itself three times:

5³ = 5 x 5 x 5  = 125

So, the concept of exponentiation allows us to quickly calculate the result of multiplying a number by itself multiple times, where the exponent indicates the number of repetitions.

Thus,

The value of the expression 5³ is 125.

Learn more about expressions here:

https://brainly.com/question/3118662

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The complete question:

What is the value of 5 raised to the power of 3?

Answer:

8.5

Step-by-step explanation: