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3 years ago

Identify the pattern rule for this sequence: 20, 80, 40, 160, 80, 320…

Mathematics

2 answers:

Elena-2011 [213]3 years ago

8 0

Answer:

multiplies by 4 then divides by 2

Step-by-step explanation:

cupoosta [38]3 years ago

4 0

Answer:

See step by step.

Step-by-step explanation:

20 * 4 = 80

80 / 2 = 40

40 * 4 = 160

160 / 2 = 80

80 * 4 =320

if x is Nth number in the sequence:

if N is odd:

$x = 20 * 4^{(N-1)/2} / 2^{(N-1)/2}$

if N is even:

$x = 20 * 4^{(N)/2} / 2^{(N)/2-1}$

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Someone help w these tw

Bumek [7]

1. The simplified expression is 10x+8y-12.

Combine like terms to simplify the expression.

-6x-12+8y+16x

-6x and 16x are both like terms, so those can be combined.

-6x+16x=10x

10x+8y-12

2. The solution to the equation is x=13.

Solve by adding 17 to both sides of the equation.

-4=-17+x

-4+17=-17+17+x

13=x

8 0

3 years ago

Amount of Fuel. A car uses 20 gallons of gasoline for a trip of 500 miles. How many gallons would be used on a trip of 400 miles

jasenka [17]

Answer:

16 gallons

Step-by-step explanation:

divide

4 0

2 years ago

the contractor demands a working temperature of 82 degrees Fahrenheit. what is the equivalent temperature in degrees Celsius

stiks02 [169]

Answer:

27.8 Celsius

Step-by-step explanation:

The equation to convert Fahrenheit and Celsius is:

F = (9/5)C + 32

82 = (9/5)C + 32 -- subtract 32 from both sides

50 = (9/5)C -- multiply both sides by 5

250 = 9C -- divide by 9

27.777 = C

round up to 27.8 C

7 0

3 years ago

Make sure to explain please! Evan's mother used 1/3 pound of beef, 1/2 pound of shrimp, and 3 pounds of pasta to make dinner for

AVprozaik [17]

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8 0

3 years ago

Lori creates the following design for a T-shirt.

kakasveta [241]

<u>Solution-</u>

From the figure,

AE = 2.4

EB = 2.8

BC = 11.7

Area of rectangle 1 = 8.68 sq.in

$\Rightarrow FH \times HI=8.68$

$\Rightarrow EB \times HI=8.68$ (∵ sides of the rectangle 2)

$\Rightarrow 2.8 \times HI=8.68$

$\Rightarrow HI=3.1$

Area of Triangle 1 = 6.48 sq.in

$\Rightarrow \frac{1}{2}\times AE \times EG= 6.48$

$\Rightarrow \frac{1}{2}\times AE \times (EF+FG)= 6.48$

$\Rightarrow \frac{1}{2}\times AE \times (EF+HI)= 6.48$ (∵ sides of the rectangle 1)

$\Rightarrow EF+3.1= 5.4$

$\Rightarrow EF=2.3$

$\Rightarrow BH=2.3$ (∵ sides of the rectangle 2)

$BC = BH+HI+IC$

$\Rightarrow 11.7= 2.3+3.1+IC$

$\Rightarrow IC=6.3$

The area of Rectangle 2,

$=EB\times BH =2.8\times 2.3=6.44\ sq.in$

The area of Triangle 2,

$\frac{1}{2}\times GI \times IC=\frac{1}{2}\times EB \times IC=\frac{1}{2}\times 2.8 \times 6.3=8.82\ sq.in$

The area of the whole figure = Area of Triangle 1 + Area of rectangle 1 + Area of Triangle 2 + Area of rectangle 2

= 6.48+8.68+8.82+6.44=30.42 sq.in

6 0

3 years ago