Erika is painting a rectangular painting. The painting has a length of 12 and a width of 10 inches. Use the Distributive Property to decompose the factor 12. Then find the area of the painting.

Answers

Answer 1

Given:

Length of the painting = 12 inches

Width of the painting = 10 inches

To find:

The area of the rectangular painting by using Distributive Property to decompose the factor 12.

Solution:

The area of a rectangle is

[tex]A=length\times width[/tex]

So, the area of the rectangular paining is

[tex]A=12\times 10[/tex]

Using Distributive Property to decompose the factor 12, we get

[tex]A=(10+2)\times 10[/tex]

[tex]A=(10\times 10)+(2\times 10)[/tex]

[tex]A=100+20[/tex]

[tex]A=120[/tex]

Therefore, the area of the rectangular painting is 120 square inches.


Related Questions

After sales tax, an $81 cell phone costs $84.24. What is the sales tax percentage?​

Answers

Answer:

4%

Step-by-step explanation:

find the value of x please :)

Answers

Answer:

48

Step-by-step explanation:

180-(90+42)

Factor 9-4y^2

pls help... again

Answers

Answer:

9-16y

Step-by-step explanation:

Answer:

(3 + 2y)(3 - 2y)

Step-by-step explanation:

Use formula:

a² - b² = (a + b)(a - b)

Factor:

9 - 4y² = 3² - (2y)² = (3 + 2y)(3 - 2y)

What is the exact volume of the cone? A. 40n cm3 B. 80/3 n cm3 C. 160/3 n cm3 D. 160n cm3​

Answers

Answer:

167.55

Step-by-step explanation:

Formula - V = [tex]\pi r^2\frac{h}{3}[/tex]

V = [tex]\pi (4)^2\frac{10}{3}[/tex]

V = 167.55


I’m so confused & I don’t get this at all. Can someone please help me. I’ll give brainliest!

Answers

Answer:

So, basically AB goes through (bisects) CAD, which CAD is the kite-like shape you see. So line AB goes through line CAD. Now what they what you to do is prove if lines AB and lines AC are equal.

Tony and Edwin each built a rectangular garden. Tony's garden is 4 feet longer and 5 feet wider than Edwin's garden. If the perimeter of Edwin's garden is 36 feet, what is the perimeter of Tony's garden?

Answers

Answer:

54 feet

Step-by-step explanation:

Perimeter of a rectangle = 2 × (length + breadth)

The perimeter of Edwin's garden is 36 feet :

36 = 2 x (length + breadth)

divide both sides by 2 to determine the sum of the length and breadth of Edwin's garden

36/2 = (length + breadth)

18 = (length + breadth)

Tony's garden is 4 feet longer and 5 feet wider than Edwin's garden

The dimensions of Tony's garden is :

(4 + l) + (5 + w) = 9 + l + w

Where :

l = length

w = width

The sum of the length and breadth of Tony's garden would be 9 feet more than that of Edwin

Sum of Edwin's garden = 9 + 18 = 27

Perimeter of Edwin's garden = 27 feet x 2 = 54 feet


Enter the difference as a mixed number,
10
Pls help me

Answers

Answer:

4 4/5

Step-by-step explanation:

6 5/10 - 1 7/10

= (6 - 1) + (5/10 - 7/10)

= 5 + 5 - 7/10

= 5 + -2/10

= 5 + -2 ÷ 2/10 ÷ 2

= 5 + -1/5

= 4 4/5

Extra:

Can i hav brainliest plz it would help alot :D

8. If the figure has rotational symmetry, find the
angle of rotation about the center that results in
an image that matches the original figure.
A. 90°
B. 120°
C. 210°
D. no rotational
symmetry

Answers

B. 120

Because there is 3 ways you could turn it for it to be symmetrical, so 306/3 = 120

Answer:

120

Step-by-step explanation:


Help me pls and thank you

Answers

just chose the last one 75% are stars

W/20=-2.5? What it the w?

Answers

Answer:

w=-50

(negative fifty)

Step-by-step explanation:

W would equal -50 hard to explain but if you enter it in for w will fit!

If a large factory sells its new gadgets for $5 each, it can sell 1050 per month, and if
it sells the same gadgets for $9, it will sell 900 per month. To the nearest whole
number, how many gadgets could be sold per month, if the price was $12?

Answers

(5, 1050), (9, 900), (12, y)
For linear relation,
(y-1050)/(12-5) = (900-1050)/(9-5)
Solve for y,
y = 787.5

Round to the nearest whole number which will be 788

jahajdnnsnekwkwkdnsnjwlqkwnwndnns

Answers

Answer:

msdnvqkyfhcjavnyoqrudfn fn,bq2yor78DHCBN

The first of two numbers added to two times the second equals 9. The first number decreased by the second equals 3. Find the numbers.

Answers

Answer:

18 and 6

Step-by-step explanation:

i know this because all you have to do is multiply the tow numbers by 2

Can someone help me with this question please? Many thanks in advance.
Jack, Alex and Amir jumped a total of 12.69 m in a long

jump competition.

Alex jumped exactly 200 cm further than Jack.

Amir jumped exactly 2,000 mm further than Alex.

What distance did they all jump?

Give your answers in metres.​

Answers

Answer:

Step-by-step explanation:

The distances they jumped were

x,y,z

y=x+2

z=x+2+2=x+4

x+y+z=12.69

x+x+2+x+4=12.69

3x+6=12.69

3x=6.69

x=2.23

So Jack jumped 2.23m, Alex jumped 4.23m, and Amir jumped 6.23m.

2/5+3/8= i will give brainliest

Answers

so first we should make the denominators the same so find a multiple that 5 and 8 share: they share a multiple of 40, so whatever you do to the denominator you do to the numerator. So the equation should now look like 16/40+15/40 and the answer is 31/40!!

what is the m<2 = ?

Answers

Answer:

m∠2=9

Step-by-step explanation:

Hello There!

The problem states that the angles are complementary angles

Complementary angles are angles that have measures that add up to equal 90

So given one of the angles we can find the missing angle by subtracting the known angle from 90

90 - 81 = 9

so we can conclude that the measure of angle 2 is 9

Twice one number added to another umber is 18. If the second number is equal o 12 less than 4 times the first number, find the two numbers.

Answers

The answer is 12 and 6 because twice the number which is 6 is 12

Find the radius of a circle that has a circumference of 16
The formula for the circumference of a circle is C = 2.
where r is the radius and C is the circumference. The
TE
equation solved for r is r =
27
O r=4
O r= 8
O r= 12
O r= 16

Answers

Answer:

The circumference of a circle is equal to π , which is a number ≈3.14 , multiplied by the diameter of the circle. Therefore ... We also know that the diameter has twice the length of the radius. In equation form: 2r=d. 2r=16. r=8. Note that since 2r=d , the equation C=2πr holds and can be used in place of C=πd .

Step-by-step explanation:  The circumference of a circle is equal to π , which is a number ≈3.14 , multiplied by the diameter of the circle. Therefore ... We also know that the diameter has twice the length of the radius. In equation form: 2r=d. 2r=16. r=8. Note that since 2r=d , the equation C=2πr holds and can be used in place of C=πd .

The radius of a circle that has the circumstance of 16: r= 8

Can you guys pls pls help me

Answers

Answer:

21:  37

They are the opposite side exterior angles

22: 40

23:  126

They are the opposite side exterior angles

24: 1

25: 12

90 - 48 = 42

42 = 3x + 6

36 = 3x

12 = x

26:   41

180 - 139 = x

41 = x

27:   140

180 - 40 = 140

28: 68

90 - 22 = 68

29: False

Complementary angles add up to 90 degrees

Hope this helps!

Find the slope of the linear function. Helpp

Answers

I think it is 0x+-4

PLEASE HELP !!!!
The original price of a sofa is $500.
a. If the sofa price decreased by 20%, what is the new price?
b. The company can’t sell the sofa after 3 weeks so they reduce the price to $320. What is the percent decrease?
c. If the company reduces the price in week 4 to $290, what is the percent decrease?

Answers

Answer:

A. $400

b. %36

c. %42

Step-by-step explanation:

Answer:

A. $400

b. %36

c. %42

Step-by-step explanation:

Work out the value of angle x.
Х
62°​

Answers

Answer:

62 grados x

Step-by-step explanation:

Answer:

because the first side equal for the second side this means that this triangle is isosceles

so 62+62=124

sum of the angles of any triangle =180

180°-124=56degree

Ecuacion de la recta que pasa por el punto donde se cortan las rectas X+4Y=0 y X-3Y-7=0 y que tiene como pendiente -6

Answers

Answer:

La ecuación de la recta es [tex]y = -6\cdot x +23[/tex].

Step-by-step explanation:

Para construir la ecuación de la recta podemos utilizar un punto contenido en la recta y su pendiente. En primer punto, hallamos el punto con la resolución del siguiente sistema de ecuaciones lineales:

[tex]x+4\cdot y = 0[/tex] (1)

[tex]x-3\cdot y = 7[/tex] (2)

La solución del sistema de ecuaciones es [tex](x,y) = (4,-1)[/tex].

Por Geometría Analítica, sabemos que la Ecuación de la Recta en su forma explícita es:

[tex]y = m\cdot x + b[/tex] (3)

Donde:

[tex]x[/tex] - Variable independiente.

[tex]y[/tex] - Variable dependiente.

[tex]m[/tex] - Pendiente.

[tex]b[/tex] - Intercepto.

Si sabemos que [tex](x,y) = (4,-1)[/tex] y [tex]m = -6[/tex], entonces el intercepto de la recta es:

[tex]b = y-m\cdot x[/tex]

[tex]b = 23[/tex]

Ahora, la ecuación de la recta es [tex]y = -6\cdot x +23[/tex].

(5y+1)²-4(y-1)² how to solve it​

Answers

Answer:

[tex](5y + 1)^{2} - (2(y - 1))^{2} [/tex]

Step-by-step explanation:

1) Rewrite it in the form a² - b², where a = 5y + 1 and b = 2(y - 1 ).

[tex](5y + 1) ^{2} - (2(y - 1)) ^{2} [/tex]

2) Use multiplication Distributive Property: (xy)^a = x^a y^a.

[tex](5y + 1)^{2} - {2}^{2} (y - 1 {)}^{2} [/tex]

3) Simplify 2² to 4.

[tex](5y + 1 {)}^{2} - 4(y - 1 {)}^{2} [/tex]

4) Rewrite it in the form a² - b², where a = 5y + 1 and b = 2(y-1).

[tex](5y + 1 {)}^{2} - (2(y - 1))^{2} [/tex]

Therefor, the answer is ( 5y + 1 )² - (2( y - 1 ))².

On weekends Mike earns $15 per hour, or 1.5 times his regular wages. Which of the equations below could be used to find Mike's regular hourly wage (w)?
A $15w = 1.5
B 1.5w = $15
C. 1.5 / w = $15
D. w/1.5 = $15
E. $15 - w =1.5

Answers

Answer:

THE ANSWER IS B

Step-by-step explanation:

he earns 15$  or as the question states

1.5xw=15 or 1.5w=15

Answer:

b

Step-by-step explanation:

1.5 multiplied by the w = 15 (his current wage)

With instructions too please

Answers

Answer on pic above

Hope this helps

(-2x^-4)^-4 * (2^2)^0 solve the integer equation

Answers

Answer:

= 1/16x^16

Step-by-step explanation:

Hey, this is an ape3x question id really appreciate it if someone could help me on this..

Answers

Answer:

<4 and <8 are corresponding angle

PLEASE HELP ASAP PLEASE WILL GIVE BEST RATE AND BRAINLEST PLEASE​

Answers

Answer:

I think it's 145.225 sq in.

Step-by-step explanation:

2.5 x 2 x 3.14 = 15.7

15.7 x 9.25 = 145.225

Answer:

its the second one

Step-by-step explanation:

2.5 x 2 x 3.14 = 15.7 because 3.14 is pi

and then do

15.7 x 9.25 = 145.225 so there you go

On a map 3 cm represents 21 km. What is the
length of a road in cm if the actual length of the
road is 105 km?

Answers

Answer:

`5 centemeters.

Step-by-step explanation:

Just divide the KM by 7 since 21 divided by 3 is 7. So dividing 105 by 7 gives you 15. HOPE THIS HELPS! :)

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