Which fractions are equivalent to 2/12 + 4/12

Answer:

20 builders

Step-by-step explanation:

Answer: 20 builders.

Step-by-step explanation: For 10 builders to build a house in 20 days, the ratio is 1:2. For builders to build a house in 10 days, the ratio is x:10. You then cross multiply 1:2 and x:10. Then x=20 so 20 builders.

Answer:

y = 3x + 11

Step-by-step explanation:

Substitute the information into the point-slope form equation.

Point-slope form: y - y₁ = m(x - x₁)

y - 2 = 3(x - (-3))

y - 2 = 3(x + 3)

y - 2 = 3x + 9

y = 3x + 11

Answer:

Even if a right solid became oblique, the volume would not change, because the cross sectional area and height would remain the same. Therefore, by Cavalieri's principle, the volume is the same as the original solid.

Step-by-step explanation:

sample answer

Step-by-step explanation:

ok so its basically like addition the top + the bottom.

3x + 3y = 12

6x + 11y = 14

9x + 15y = 26

now u wat to cancel out

9x + 15y = 26

9                

15y = 26     y = 1.7

9x = 26      x = 2.8

i think this is right i hopw this helps

Answer:

y= -2

x= 6

there you go

I used elimination method!

Hope It Helps!!!!

Answer:

f(2) = - 1 and f(4) = 3

Step-by-step explanation:

To evaluate f(2), substitute x = 2 into f(x), that is

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

To evaluate f(4), substitute x = 4 into f(x)

f(4) = - 3(4) + 15 = - 12 + 15 = 3

Answer:

The solution of the system is (5, 20).

Step-by-step explanation:

y = 4x and 3x + 2y = 55 are simultaneous equations. To find the unknowns, we have to solve these equations simultaneously.

The first can be rewritten as

4x – y = 0.

Therefore, we have:

4x – y = 0

3x + 2y = 55

Multiplying the first equation by 2 all through, we have

8x – 2y = 0.

So we can now combine the second equation with the first multiplied by 2.

8x – 2y = 0

3x + 2y = 55

Adding these equations we have:

11x = 55

Divide both sides by 11 and we have

x = 5

Substitute x = 5 in equation 1, we have

4(5) – y = 0

y = 20.

Therefore, x = 5 and y = 20.

The solution of the system is (5, 20).

Answer:

x = 14[tex]\sqrt{2}[/tex]

y = 14

z= 14[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.

The given equation can be solved to obtain x = 40.

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

The given linear equation can be solved as follows,

0.2(x - 20) = 44 - x

=> 0.2x + x = 44 + 0.2 × 20

=> 1.2x = 48

=> x = 48/1.2

       = 40

Hence, the value of x for the given equation is found to be 40.

To know more about Linear equation click on,

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Answer:

−4x3+6x2−x

Step-by-step explanation:

(−x)(4x2−6x+1)

=(−x)(4x2+−6x+1)

=(−x)(4x2)+(−x)(−6x)+(−x)(1)

=−4x3+6x2−x

Answer:

y = 3x + b

Step-by-step explanation:

The slope of y=mx+3 that passes through (-3,4) is found like this:

1. Substitute the y and x values in (4 = m*(-3) + 3).

2. Simplify by subtracting 3 from each side (1 = m*(-3)).

3. Simplify by dividing each side by -3 (-1/3 = m).

Since the slope of perpendicular lines are negative reciprocals, the slope of the perpendicular line is 3.  The y-intercept can be anything and it will still be perpendicular.

Answer: x = 250

Step-by-step explanation:

-17 + x/5 = 33

+17 on each side to get rid of the 17

x/5 = 50

Multiply each side by 5 to cancle out the 5 and isolate the variable

x = 250

Answer:

A

Step-by-step explanation:

might be wrong

Answer:

C. 5.8

Step-by-step explanation:

We use the Pythagoras theorem here. which is a²+b²=c².

a and b are the replacements for the 5miles and  3miles here.

They are a and b because a  and b are always on the right angle side.

The longest side of this triangle is called a hypotenuse which is the c in this case.

the other sides (a and b) are called the adjacent and the opposite.

it doesn't matter if you use adjacent or opposite for a and b in this case.

the only important thing is the hypotenuse here.

So it's a²+b²=c², which is 5²+3²=c².

5² is 25 and 3² is 9, so we add them and we get 34.

so c²=34, we don't want the square on c  so we send it to 34 which becomes √34.

√34 gives us 5.8 miles which is up to just only one decimal place.

You might need to use calculators for square roots because they take long to calculate.

Answer:

The value of d that balances the equation is d=15

Step-by-step explanation:

Equations

We are given an image with a hanger that represents a balanced equation.

If the equation is balanced, then the 'weights' of each side should be equal.

On the right side, there is 21 and on the left side, there are 6 and d.

Adding both, we have 6+d on the left side.

Equating both sides:

6 + d = 21

To find d, we subtract 6 on both sides:

d = 21 - 6

d = 15

The value of d that balances the equation is d=15

Answer:

d=15

Step-by-step explanation:

6+d=21

so that means d=15

6+15=21

hope this helped! :)

Answer:

14.5 ft or 14 1/2 ft

Step-by-step explanation:

36in= 1 yard

9x36= 324in (I'm guessing this is the length)

324in (length) -150in (width)= 174in

12 in= 1 ft

174/12= 14 ft 6 in

6 inches is half a foot

14.5 ft or 14 1/2 ft

Answer:

(4, 22)

Step-by-step explanation:

y = 5x + 2

y  = 3x + 10

Since both equations are equal to y, we can have both equations equal to each other).

5x + 2 = 3x + 10

5x + 2 - 3x - 2 = 3x + 10 - 3x - 2

5x - 3x = 10 - 2

2x = 8

2x/2 = 8/2

x = 4

(Substitute the x value to any equation to solve for y).

y = 5x + 2

y = 5(4) + 2

y = 20 + 2

y = 22

So, the answer is (4, 22).

Hope this helped! <3

Answer:

the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)

Step-by-step explanation:

1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle

Answer:

it is C

Step-by-step explanation:

Its c because i had the exact same problem

Answer: Slope = 2; 3-intercept=-1

Step-by-step explanation:

Answer:

1. ABP and ACQ

2. SSS Postulate

3. SAS Postulate

4. HL theorem

Answer:

first things first nice picture, second i don't know what a yubu is, and third what is " re again xx"?

Step-by-step explanation:

Answer: D. 2

Step-by-step explanation:

-3t + 6 = 0

1. Subtract 6 from each side

-3t + 6 - 6 = 0 - 6

-3t = -6

2. Divide each side by -3 to isolate t and get the answer to the equation

-3t/-3 = -6/-3

t = 2

You can check your answer by plugging your calculated value back into the equation and evaluating to find that 0 = 0.

Answer: 6,656 rabbits.

Step-by-step explanation:

The initial number of rabbits is 26.

We know that every 30 days, this number is doubled.

Then after 30 days, the population of rabbits is: 2*26

After other 30 days, the population will be: 2*(2*26) = 26*(2)^2

After another 30 days, the population will be: 2*26*(2)^2 = 26*(26)^3

The equation for this population can be written as:

P = A*(1 + 1)^(d/30)

where:

A is the initial population, in this case, 26

d is the number of days that have ben passed.

the denominator of 30 is because the population doubles every 3 days, so when d = 30, we will have that d/30 = 1, this is the first time that the population is doubled. When d = 60, d/30 = 2, this is the second time that the population is doubled, and so on.

Then our equation is:

P(d) = 26*(2)^(d/30)

The population after 240 days will be:

P(240) = 26*(2)^(240/30) = 6,656

So after 240 days, there will be 6,656 rabbits.

Answer: $45

Step-by-step explanation: 10 for the hour she scrubbed the floor half of that which is 5 for the half hour she scrubbed so that would be $15, then 7.50 times 4 for the hours she dusted which would be 30, and 30 plus 15 is 45

Answer:

x<-2

Step-by-step explanation:

4x-2x2=-16 so it must be anything less than -16

Negatives get smaller the more digits, so x is less than -2