<img src="https://tex.z-dn.net/?f=6%20%5Ctimes%2010%20%20%2B%204%20%5Ctimes%2010%20%20%2B%203%20%5Ctimes%2010%20%20%2B%207%20%5C

All categories

3 years ago

times%2010%20%2B%202%20%5Ctimes%2010%20" id="TexFormula1" title="6 \times 10 + 4 \times 10 + 3 \times 10 + 7 \times 10 + 2 \times 10 " alt="6 \times 10 + 4 \times 10 + 3 \times 10 + 7 \times 10 + 2 \times 10 " align="absmiddle" class="latex-formula">
change in expanded forms

Mathematics

1 answer:

weeeeeb [17]3 years ago

3 0

Step-by-step explanation:

$6 \times 10 + 4 \times 10 + 3 \times 10 + 7 \times 10 + 2 \times 10$

$=(6+4+3+7+2)\cdot 10$

$=22\cdot10$

$=(2\cdot10+2)\cdot10$

$=2\cdot10^2+2\cdot10$

You might be interested in

Kyle, Meg & Dan share some money in

lys-0071 [83]

Answer: 1/5 of the money

Step-by-step explanation:

The ratio shows that Kyle gets 3 parts of the money, Meg gets 2 parts of the money, and Dan gets 7 parts of the money. Simple addition lets us know there are 10 parts of the money, and because Meg got 2 of them, she has 2/10ths of the money, or 1/5.

Hope it helps :) and let me know if you want me to elaborate.

8 0

3 years ago

Point P is the center of the circle in the figure above. What is the value of x?

LenaWriter [7]

Answer:

x = 80°

Step-by-step explanation:

To find x, we need to create an equation.

Recall that the sum of all the 4 interior angles of a quadrilateral = 360°.

Therefore:

m<B + m<A + m<C + m<P = 360°

m<B = 20° (given)

m<C = 20° (given)

m<A = ½*x = x/2 (inscribed angle theorem)

m<P = (360 - x)°

Plug in the values and solve for x

$20 + \frac{x}{2} + 20 + (360 - x) = 360$

$20 + \frac{x}{2} + 20 + 360 - x = 360$

Collect like terms

$20 + 20 + 360 + \frac{x}{2} - x = 360$

$400 + \frac{x}{2} - x = 360$

Subtract 400 from each side 

$400 + \frac{x}{2} - x - 400 = 360 - 400$

$\frac{x}{2} - x = -40$

$\frac{x - 2x}{2} = -40$

$\frac{-x}{2} = -40$

Multiply both sides by 2

$\frac{-x}{2} \times 2 = -40 \times 2$

$-x = -80$

Divide both sides by -1

$\frac{-x}{-1} = \frac{-80}{-1}$

$x = 80$

3 0

3 years ago

Find the coordinates of the intersection of the diagnosis of the parallelograms (-2,-1) (1,3) (6,3) and (3,-1)

iren [92.7K]

Answer:

$M = (2,1)$

Step-by-step explanation:

Represent the diagonals as:

$A =(-2,-1)$

$B =(1,3)$

$C =(6,3)$

$D = (3,-1)$

Required

Determine the coordinate of the intersection

To do this, we simply calculate the midpoint of AC or BD.

For AC:

$(x_1,y_1) = (-2,-1)$

$(x_2,y_2) = (6,3)$

The midpoint is:

$M = \frac{1}{2}\{(x_1+x_2),(y_1+y_2)\}$

This gives:

$M = \frac{1}{2}\{(-2+6),(-1+3)\}$

$M = \frac{1}{2}\{(4),(2)\}$

$M = (\frac{1}{2} * 4,\frac{1}{2} * 2)$

$M = (2,1)$

For BD:

$(x_1,y_1) = (1,3)$

$(x_2,y_2) = (3,-1)$

The midpoint is:

$M = \frac{1}{2}\{(x_1+x_2),(y_1+y_2)\}$

This gives:

$M = \frac{1}{2}\{(1+3),(3-1)\}$

$M = \frac{1}{2}\{(4),(2)\}$

$M = (\frac{1}{2} * 4,\frac{1}{2} * 2)$

$M = (2,1)$

Notice the midpoints are the same:

$M = (2,1)$

Hence, the coordinates of the intersection is (2,1)

8 0

3 years ago

A graphic designer wants to translate rectangle DEFG using T–1, 2(x, y). The pre-image has coordinates D(–1, 3),

anygoal [31]

Answer:

D'(-2, 5), E'(3, 5), F'(3, 3), G'(-2, 3)

Step-by-step explanation:

Adding (-1, 2) to each of the coordinates gives ...

D +(-1, 2) = (-1-1, 3+2) = D'(-2, 5)

E +(-1, 2) = (4-1, 3+2) = E'(3, 5)

F +(-1, 2) = (4-1, 1+2) = F'(3, 3)

G +(-1, 2) = (-1-1, 1+2) = G'(-2, 3)

8 0

3 years ago

Read 2 more answers

a shoe store uses a 60% markup for all the shoes it sells what would be the selling price of a pair of shoes as a wholesale cost

Naddik [55]

Step-by-step explanation:

60+55 equal 65 that my explain

6 0

3 years ago