Do you use the greatest common factor or the least common multiple to add to fractions? In this example what is it? 4/15+5/6

Answer:

a) x = 5

b) x = 4

Step-by-step explanation:

a) 4x - 3 = 2x + 7                                      collect like terms

   4x - 2x = 7 + 3                                    

   2x = 10                                                 divide both sides by the coefficient of x

   x = 5

b) 2x + 6 = 7x - 14                                     collect like terms

   2x - 7x = -14 - 6

   -5x = -20                                        divide both sidess by the coefficient of x

   x = 4

Answer:

x = 0 or x = 4

Step-by-step explanation:

x² + y² = 25 and y = -2x + 5

Here,

x² + y² = 25 ...(1)

Now,

Put the value of y = -2x + 5 in equation (1)

we get,

x² + (-2x + 5)² = 25

x² + {(-2x)² + 2(-2x) (5) + (5)²} = 25

x² + {4x² - 20x + 25} = 25

x² + 4x² - 20x + 25 = 25

5x² - 20x = 25 - 25

5x² - 20x = 0

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0/5 or x = 4

x = 0 or x = 4

Answer:

x = 0, x = 4

Step-by-step explanation:

I hope its helpful

Answer:

64+24x

Step-by-step explanation:

first multiply 2 and 4

(inside the parenthesis)Combine like terms, 4 &4

Distribute the outside 8 to 8 and 3x

8(8)= 64

3(3x)=24x

Answer: 4x^6+6x^5+8x^4

Step-by-step explanation:

2x^4 (2x^2+3x+4)

=(2x^4)(2x^2+3x+4)

=(2x^4)(2x^2)+(2x^4)(3x)+(2x^4)(4)

=4x^6 + 6x^5 +8x^4

Answer:

y= 2x -8

Step-by-step explanation:

To find  the equation of a line passing through (5,2) and parallel to the line represented by the equation y= 2x + 1, we will follow the steps below;

since the line is parallel to y=2x + 1, then the will have the same slope. That is; m₁ = m₂

comparing  y = 2x + 1 to y = mx + c

m= 2

we will substitute m= 2 x= 5  and y = 2  into y = mx + c and then solve for c

y = mx + c

2 = 2(5) + c

2 = 10 + c

subtract 10 from both-side of the equation

2-10 = 10 -10 + c

-8 = c

c=-8

To find our equation, we will substitute m = 2  and c=-8 into y=mx + c

y = 2x - 8

Therefore, the equation of a line passing through (5,2) and parallel to the line represented by the equation y= 2x + 1      is    y= 2x -8

Answer:

see below

Step-by-step explanation:

The line segment is the hypotenuse of a right triangle with legs 1 and 3 so using Pythagorean Theorem its length is √10.

Answer:

Step-by-step explanation:

(-2, -2 )  ;   (-3, - 5)

[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\\\=\sqrt{(-5-[-2])^{2}+(-3-[-2])^{2}}\\\\=\sqrt{(-5+2)^{2}+(-3+2)^{2}}\\\\ =\sqrt{(-3)^{2}+(-1)^{2}} \\=\sqrt{9+1}\\\\=\sqrt{10}[/tex]

Answer: 12 inches

Step-by-step explanation:

Vol = 1/3 x b x h

240 = 1/3 x b x 15

b = 240/5 = 48 in = area of triangle base

Area = 1/2 x b x h

48 = 1/2 x 8 x h

h = 48/4 = 12 inches

Answer:

y = 4.8

Step-by-step explanation:

I set up a proportion to solve this. I divided 9.6 by 8 to find the ratio. Then, with the ratio as 1.2, I multiplied 1.2 and 4 together to get 4.8, which is y.

Answer:

if you use m.a.t.h w.a.y you can find your answer its a math

Step-by-step explanation:

graph the line using the slop and y intercept 2 points

slope -8

y intercept 0

x=y

0=0

1=-8

Answer:

Step-by-step explanation:

In circle C, RT= 6, RS = 10, and QT= 3. What is the length of line segment PQ?

In circle C, RT= 6,

RS = 10, and

QT= 3.

What is the length of line segment PQ?

[tex](RT) (RS) = (QT) (PQ)[/tex]

so plug that in

[tex](6)(10)=(PQ)(3)[/tex]

[tex](6)(10)=(PQ)(3) \\\\60=(PQ)(3)\\\\PT=\frac{60}{3} \\\\PQ=20[/tex],

Answer:

The surface area should be 335

Step-by-step explanation:

Separate each rectangle and square and find the area of each. Don't forget the ones on the back

Answer:

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Answer: B

Step-by-step explanation:

If there is a change in something it normal means you subtract 1 number from another.

In this case the two values were 5 and -11.

At midday for answer b, it was 5  and at midnight it -11. It then wants to know the change in temperature which would result in an expression of 5-(-11).

Answer:

Step-by-step explanation:

1/4

0.75 = 75/100 = 3/4

-3=12/4

Answer:

X=20

70 x 2 for the other side = 140

every triangle has 180 degrees

180-140=40

There are 40 remaining degrees

there are two x's so we divide by 2

40 = X2

20 = X

Hope this helps

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because energy takes up the same inside the box?

Answer:

The equality is false.

Step-by-step explanation:

[tex]3(24-1) - 20= 4(0-2) + 5[/tex]

[tex]3(23) - 20= 4(-2) + 5[/tex]

[tex]69 - 20= -8 + 5[/tex]

[tex]49= -3[/tex]

[tex]49\neq -3[/tex]

Answer:

95%

Step-by-step explanation:

it's within 2 empirical jumps

Answer:

A) 6 < c < 18

Step-by-step explanation:

A triangle is known to have 3 sides: Side a, Side b and Side c.

For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).

To solve the above question, we would be using the Triangle Inequality Theorem.

The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.

Side a + Side b > Side c

Side a + Side c > Side b

Side b + Side c > Side a

For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,

side (a) = 6

side (b) = 12

Let's represent the third side as c

To solve for the above question,we would be having the following Inequality.

= b - a < c < b + a

= 12 - 6 < c < 12 + 6

= 6 < c < 18

Therefore, the possible side lengths for the triangle is the above question is Option A) 6 < c < 18

Step-by-step explanation:

======> Mathematics <=======

Step-by-step :

The angle of 1,2,3 is same, So =>

<1 = 180° - 120°

= 60°

<1 = <2 = <3

60° = 60° = 60°

The answer is 60°

Answer:

[tex]y=ax^2+bx+c[/tex]

Step-by-step explanation:

[tex]y=ax^2+bx+c[/tex] because in a quadratic, there is a exponent 2, 1, and 0

Answer:

Step-by-step explanation:

Can you label like which one is which please.

Answer:

Step-by-step explanation:

Elevators are a safer way that using a ladder, or any other option, because it has really good foundations, so you won't fall, and it has a floor which you can stand on safely.

Stairs are also safer than ladders, because you can have more estability on the surface, preventing any falls.

At last, ramps are also safer than ladders, but less safe than elevators or stairs, because they have an inclined surface, so you can slide.

Now, if we analyse these four options, we can say that their difference is about the frictional surface each of them have, and the null slope some of them have. For example, a ladder is dangerous, because you don't enough surface to step on, also, the friction of its surface is lower, that means you can easily fall. But, elevators, stairs and ramps have greater coefficient of friction on their surface, and also, they have a greater surface area.

Answer: A dilation is a transformation that produces an image that is the same shape as the original one,but in in different size. A dilation of a figure can make the figure bigger or smaller in the coordinate plane.

Step-by-step explanation:

Answer:

A dilation is a type of transformation in which an image is enlarged or shrunk. This does not change the shape other than the fact that it is bigger or smaller.

Step-by-step explanation:

Think of it this way: When Ant Man grows or shrinks, his hair doesn't change color or he isn't missing an arm or anything. Nothing about his body shape is changed- He is just smaller or bigger. That's essentially how a dilation works. Hope this helped!

Answer:

It seems to be D)9 from intervals 1 to 3...

Step-by-step explanation:

Can't really explain that well, but the rate of change in an exponential function should always be decreasing or increasing. Instead of it being constant like a linear equation.

I.E. Not additive, instead to find it we need to divide.

[tex]\frac{27}{3} =9[/tex]

So, it should be 9. However, It does not seem to be maintained for the values after 3. Oh well!

Hope this helps!

The average rate of change of the function is 12.

The rate of change function represents the rate at which one quantity changes in relation to another. Simply put, the rate of change is the difference between the amount of change in one item and the comparable amount of change in another.

Rate of change = [ y₂ - y₁ ] / [ x₂ - x₁ ]

The rate of change for x₁ = 1 to x₂  = 3 at x₁ = 1 ,y₁ = 3 and at x₂= 3, y₂ = 27.

Rate of change =  [ y₂ - y₁ ] / [ x₂ - x₁ ]

                          = [ 27 - 3 ] / [ 3 - 1 ]

                          = [ 24 / 2 ]

                          = [ 12 ]

Hence, the correct option is A.

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Answer:

parallelogram&Rectangle

Step-by-step explanation:

.

The given figure is a parallelogram and a rectangle.

Options A and C are the correct answer.

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

The given figure has two pairs of parallel sides.

A rectangle is a quadrilateral that has two pairs of parallel sides.

A parallelogram is a quadrilateral that has two pairs of parallel sides.

Thus,

The given figure is a parallelogram and a rectangle.

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Answer:

E!

Step-by-step explanation:

Every new circle throughout the pattern adds one more section & moves down one section. Not sure if that explanation makes sense, but it does in my head.

Answer:

(new - original) / original * 100 %

Step-by-step explanation:

To find a percent loss,

Take the new amount

Subtract the original amount

(new - original)

Then divide by the original

(new - original) / original

Multiply by 100 percent

(new - original) / original * 100 %

That is the percent loss

find a percent loss,

Take the new amount

Subtract the original amount Divide by original multiply by 100

Answer: $ 272.49

Step-by-step explanation:

Please see attached formula

The monthly payments to pay off the loan is $1528.3

A loan is a form of debt incurred by an individual or other entity. The lender—usually a corporation, financial institution, or government.

Given that, you took a loan, of $15,000, $2,250 down and finance the rest to pay off the loan in 5 years at 12% true annual interest.

Interest will be on = 15000 - 2250 = 12750

Formula to be used :-

PV = PMT / i [1-1/(1+i)ⁿ]

12750 = PMT / 0.12[1-/(1+0.12)⁶⁰]

12750 = PMT / 0.1198

PMT = 1528.29622

Hence, the monthly payments to pay off the loan is $1528.3

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Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (4, 2) ← 2 points on the line

m = [tex]\frac{2-0}{4-0}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] → C

The slope indicates the rate of change.

Thus the water is flowing at [tex]\frac{1}{2}[/tex] gallon per minute

Answer:

C

Connor is not correct because the rate of water flowing is equal to the slope. Water is flowing at a rate that is less than 2 gallon per minutes

Step-by-step explanation:

Part A

from the graph we can see (0, 0), (2, 1), (4, 2)

y=1/2x, slope is 1/2

option C

Part B

Connor is not correct because the rate of water flowing is equal to the slope. Water is flowing at a rate that is less than 2 gallon per minutes ​

Answer:

The beachside villa

Step-by-step explanation:

122*239=$29,158

62*499=$30,938

The beachside villa has a higher profit margin per night.