Solve the perimeter of the plot that is 2(x-1) + 2(3x + 2)

Answers

Answer 1

Answer: $2(x-1) + 2(3x + 2)$

$2x-2+6x+4$ $Expand$

$(2x+6x)-2+4$ $\ Gather \ like \ terms$

$8x-2+4$

$8x+2$

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The air in a tire pump has a volume of 1.50 L at a temperature of 5.00ºC. If the temperature is increased to 30.0 ºC and the pressure remains constant, what is the new volume? Do not forget to convert ºC to K.

Answers

Answer:

The new volume is 1.63 L

Step-by-step explanation:

A tire pump has a volume of 1.5 L, while the temperature is 5 °C When the temperature changes to 30 °C, the volume will change as well.

The pressure remains constant.

Since the pressure is constant we can use the following formula:

V1/T1 = V2/T2

V1 = the initial volume = 1.5L

T1 = the initial temperature = 5 °C = 273.15 + 5 = 278.15 K

V2 = the final volume = TO BE DETERMINED

T2 = the final temperature = 30 °C = 273.15 + 30 = 303.15 K

1.5L/ 278.15 Kelvin = V2/303.15 K

V2 = (1.50L * 303.15 Kelvin) / 278.15 Kelvin = 1.63 L

When the temperature increased from 5°C to 30°C, the volume will change to 1.63 L

how do you write 3.04 as a mixed number?

Answers

it would be 3 4/100 or 3 2/50 or 3 1/25

i think it would be 3 4/100 or 3 2/50 because 3 is 3 and and .04 is 4/100 and if you reduce that it will be 2/50 hope that helps!

The distance from a driveway to the closest house is 12,672 feet. How far is that in miles?A) 2.2 miles
B) 2.4 miles
C) 4.2 miles
D) 12 miles

Answers

The answer is B.2.4 miles

The distance is 2.4 Miles

A box of uncooked spaghetti costs $0.1369 per ounce. How much is this cost to the nearest cent?

Answers

$0.14, because the number to the right of the 3, which is 6, will round up because it's greater than 5

For which of the following possible values of n will the expression the smallest value? (5n)/4 have the smallest value?A. -8
B. -4
C. 4
D. 8

Answers

Answer:

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

PLEASE HELP!!!!!!!!!Let x^2+bx+c = 0 be a quadratic whose roots are each two more than the roots of 3x^2-5x-7. What is c?

Answers

Let $x_1 , x_2$ be the roots of the equation $3x^2-5x-7$ . By the Viet theorem you have that $\left \{ {{x_1+x_2=- (5)/(3) } \atop {x_1x_2= (-7)/(3) }} \right.$ .

For the equation $x^2+bx+c = 0$ you'll have that $c=(x_1+2)(x_2+2)=x_1x_2+2(x_1+x_2)+4=(-7)/(3)+2\cdot(- (5)/(3) )+4$
That is $(-7)/(3)- (10)/(3) +4=- (5)/(3)$ .

Answer: $- (5)/(3)$

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