prove that 151^3-25^3 is divisible by 126

Answer:

y=-3x+6

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The system of equations can be written ...

  n + d = 20 . . . . . . . . coins in the jar

  5n +10d = 130 . . . . . value in cents

_____

Using the first equation, we can write an expression for n:

  n = 20 -d

We can substitute this into the second equation:

  5(20 -d) +10d = 130

  100 +5d = 130 . . . . . . simplify

  5d = 30 . . . . . . . . . . . . subtract 100

  d = 6 . . . . . . . . . . . . divide by 5

  n = 20-d = 14

The jar contains 14 nickels and 6 dimes.

Answer:

It will take Jamie 3 hours to complete it

Step-by-step explanation:

3/4 * 4/1 = 12/4 = 3 hours

Answer:

3 hours

Step-by-step explanation:

3/4x4/1=12/4

12/4=3

Answer:

y=3x+1

Step-by-step explanation:

x is the weeks and y is the final product

Answer:

1+(3x7) she has 22 dollars

Step-by-step explanation:

Answer:

51/110

Step-by-step explanation:

No: of bags with buttons but no zips  = 46

No: of bags that have both buttons and zipz = 110-(46+20+39)  =  5

No: of bags with buttons = 46+ 5 = 51

Total no: of bags = 110

Probabilty = 51/110

I hope im right!!

Answer:

21.6

Step-by-step explanation:

Answer:

0dh 8/6

Step-by-step explanation:

Answer:

-8/27

Step-by-step explanation:

First, make all fractions an improper fraction.

-2/3 / 9/4

Flip the right fraction over.

-2/3 * 4/9

multiply

and you get -8/27

Answer: i think its 7 cm pretty sure

Answer:

B

C

D

Step-by-step explanation:

Answer:

B, C, D

Step-by-step explanation:

One major arc is Arc G H E.

Arc FE is a minor arc.

The measure of Arc F E is 41°.

Answer:

m=76

Step-by-step explanation:

Given:

The vertices of the quadrilateral ABCD are A(3,8), B(6,5), C(5,4), and D(2,7).

To find:

Whether the given quadrilateral is a rectangle, a rhombus or a square.

Solution:

Distance formula: The distance between two points is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, the side lengths are:

[tex]AB=\sqrt{\left(6-3\right)^2+\left(5-8\right)^2}[/tex]

[tex]AB=\sqrt{\left(3\right)^2+\left(-3\right)^2}[/tex]

[tex]AB=\sqrt{9+9}[/tex]

[tex]AB=\sqrt{18}[/tex]

[tex]AB=3\sqrt{2}[/tex]

Similarly,

[tex]BC=\sqrt{\left(5-6\right)^2+\left(4-5\right)^2}=\sqrt{2}[/tex]

[tex]CD=\sqrt{\left(2-5\right)^2+\left(7-4\right)^2}=3\sqrt{2}[/tex]

[tex]AD=\sqrt{\left(2-3\right)^2+\left(7-8\right)^2}=\sqrt{2}[/tex]

The length  of diagonals are:

[tex]AC=\sqrt{\left(5-3\right)^2+\left(4-8\right)^2}=2\sqrt{5}[/tex]

[tex]BD=\sqrt{\left(2-6\right)^2+\left(7-5\right)^2}=2\sqrt{5}[/tex]

From the above calculation, we conclude that the given quadrilateral has two pairs of congruent opposite sides and equal diagonals.

Opposite sides of a rectangle are equal and its diagonals are also equal.

Therefore, the given quadrilateral ABCD is a rectangle.

Answer:

Step-by-step explanation:

Add up all three side lengths

Answer:

Add up all the side lengths (3) of the triangle.

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Answer:   A = y=-3x+1

Step-by-step explanation:  If you plug in -2 and use 7 from Y

              7 = -3(-2) +1

             7= 6+1

               7 = 7

Hope this helps pls mark me brainliest. :)

Answer:

700$ at 2% 800$ at 4%

Step-by-step explanation:

x+y=1500 This is because the total is 1500 dollars into 2 different accounts, x and y.

0.02x+0.04y=44 This is because it says 2 percent interest in one account and 4 percent in the other, and the totals add up to 44 dollars.

Now use elimination method.

x+y=1500(-0.02)=-0.02x+-0.02y=-30

0.02x+0.04y=44

Now you end up with 0.02y=14, solve for y and you get 700. That's the value of y which now you can then subtract from 1500 and get 800 which is the value of x.

Answer:

352.05

Step-by-step explanation:

I don't know how to interpret the equation you wrote and so I just used annuities

I have attached my work below

the monthly payment for a $14,790 auto loan over four years at 6.9% annual interest is $353.95.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given,  a $14,790 auto loan over four years at 6.9% annual interest.

To calculate the monthly payment for a $14,790 auto loan over four years at 6.9% annual interest,

we can use the formula for the monthly payment of a loan:

M = P * (r/12) * (1 + r/12)ⁿ / ((1 + r/12)ⁿ¹)

where:

M = monthly payment

P = principal amount (loan amount)

r = annual interest rate (as a decimal)

n = total number of payments (number of years * 12)

Plugging in the given values, we get:

P = $14,790

r = 0.069 (6.9% expressed as a decimal)

n = 4 * 12 = 48 (4 years with 12 payments per year)

M = $14,790 * (0.069/12) * (1 + 0.069/12)⁴⁸ / ((1 + 0.069/12)⁴⁸⁻¹)

M = $353.95

Therefore, the monthly payment for a $14,790 auto loan over four years at 6.9% annual interest is $353.95.

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ2

Answer:

100 x 4 = 400 - 91 = 309

Step-by-step explanation:

Answer:

100= 4 + 3 (100-1)

4+3 (99)

4 + 297 is 301

Step-by-step explanation:

The first row starts with 4 toothpicks, and they increase by +3 in each row.  The first tree is already accounted for which makes the 4 + 3, and why I have 100-1.  The teacher said the answer was correct but I doubted the equation.  Can you tell me if this is correct?

yes i think because i think so

Answer:

Yes

Step-by-step explanation:

Their sides are similar proportionally and the 60 degrees + 120 degrees makes 180 degrees meaning the OTHER angles match

Answer:

75

Step-by-step explanation:

Look for where the line passes through the y-axis. If the line doesn't go through the y-axis, like in this case, look for where the line starts on the y-axis.

Answer:

The answer is 3/100 I hope this helps :)

Step-by-step explanation:

the answer is 3/100

Answer:

Its going to be 22

Step-by-step explanation:

Answer:

7.35

Step-by-step explanation:

5 pounds -> 5.25

1 pound -> 1.05

7 pounds-> 7.35

B is equivalent to the equation

Answer:

7 1/24

Step-by-step explanation:

I) Use common denominator:

8 x 3 = 6 x 4 = 24

9 7/8 = 9 21/24

2 5/6 = 2 20/24

II) Subtract:

9 21/24 - 2 20/24 = 7 1/24

Answer:

Here are the properties of the rhombus, rectangle, and square. Note that because these three quadrilaterals are all parallelograms, their properties include the parallelogram properties.

The rhombus has the following properties:

All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary).

All sides are congruent by definition.

The diagonals bisect the angles.

The diagonals are perpendicular bisectors of each other.

The rectangle has the following properties:

All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other).

All angles are right angles by definition.

The diagonals are congruent.

The square has the following properties:

All the properties of a rhombus apply (the ones that matter here are parallel sides, diagonals are perpendicular bisectors of each other, and diagonals bisect the angles).

All the properties of a rectangle apply (the only one that matters here is diagonals are congruent).

All sides are congruent by definition.

All angles are right angles by definition.

Step-by-step explanation:

https://mathstat.slu.edu/escher/index.php/Squares,_Rectangles,_Parallelograms_and_Other_Polygons

Answer:

addison all the way

Step-by-step explanation:

Answer:tic tok

Step-by-step explanation: