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3 years ago

Select all equations which are equivalent to 2(x +3) =20

Mathematics

2 answers:

OleMash [197]3 years ago

8 0

2x + 3 = 20
Subtract 2 from both sides
2x= 27
X= 13.5

notka56 [123]3 years ago

8 0

1 and 5.. because on 1 you decide by 2 by everything...and on 5 you distribute

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1011+111 in binary form

Ann [662]

Answer:

10010

Step-by-step explanation:

$1011=1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$111=1(2)^2+1(2)^1+1(2)^0$

So $1011+111$ gives us:

$1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$+$

$1(2)^2+1(2)^1+1(2)^0$

-----------------------------------------------------

Combine like terms:

$1(2)^3+(0+1)(2)^2+(1+1)(2)^1+(1+1)(2)^0$

$1(2)^3+1(2)^2+(2)(2)^1+(2)(2)^0$

We aren't allowed to have a coefficient bigger than 1.

I'm going to replace $2^0$ with 1 and $2$ with $(2)^1$ :

$1(2)^3+1(2)^2+(2)^2+(2)^1(1)$

I want a $2^0$ number:

$1(2)^3+1(2)^2+1(2)^2+1(2)^1+0(2)^0$

Combine like terms:

$1(2)^3+2(2)^2+1(2)^1+0(2)^0$

$2(2)^2=2^3$ :

$1(2)^3+2^3+1(2)^1+0(2)^0$

Combine like terms:

$2(2)^3+1(2)^1+0(2)^0$

We can rewrite the first term by law of exponents:

$2^4+1(2)^1+0(2)^0$

$1(2)^4+1(2)^1+0(2)^0$

So the binary form is:

$10010$

Maybe you like this way more:

Keep in mind 1+1=10 and that 1+1+1=11:

Setup:

1 0 1 1

+ 1 1 1

------------------------------

(1) (1) (1)

1 0 1 1

+ 1 1 1

------------------------------

1 0 0 1 0

I had to do some carry over with my 1+1=10 and 1+1+1=11.

8 0

3 years ago

How do you rotate the coordinate (9,-6) 270 degrees counterclockwise?

GalinKa [24]

Since this point is located in the fourth quadrant you have to rotate it 270 degrees counterclockwise which would end up being in third quadrant. which means the new point would be (-6,-9)

6 0

3 years ago

Felipe picked a pumpkin that weighed three times the weight of Meg's pumpkin Meg's pumpkin with half the weight of Ryan's pump R

Xelga [282]

Answer:

21 lb

Step-by-step explanation:

Divide the amount of Ryan's pumpkin by 2 then multiply it by 3. Ryan's pumpkin weighs 14 lb divided by 2 is 7 then 7 multiplied by 3 is 21.

6 0

3 years ago

Carolyn Mills does maintenance work at a golf course. She worked these hours last season: April, 150; in each of the next four m

GalinKa [24]

Answer:

$11,025

Step-by-step explanation:

April: 150hrs

May-August: 200hrs x 4 = 800 hrs

September: 100 hrs

$10.50/hr pay rate

150+800+100 = $1,050

$1,050 x $10.50 = $11,025

*Gross pay is the amount of money made before tax

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2 years ago

A pizza restaurant sells containers of juice that it marks up 75 percent above its wholesale cost. If the restaurant marks up ea

Len [333]

75% of what is 0.90
0.75x = 0.90
x = 0.90/0.75
x = 1.20 <== restaurant pays $ 1.20 wholesale

4 0

3 years ago

Read 2 more answers