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2 years ago

Simplify the expression 8x-2x+12x-3

Mathematics

1 answer:

aev [14]2 years ago

7 0

Answer:

18x - 3

Step-by-step explanation:

Add all the X values

8x + -2x + 12x = 18x

Put the final numbers on the side.

-3

18x-3

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When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is f

valkas [14]

Answer:

The new pressure of the gas is 42 pounds per square inches.

Step-by-step explanation:

When the temperature remains constant, the volume of a gas is inversely proportional to the pressure of the gas.

$V\propto \frac{1}{P}$

We can rewrite the above equation is

$\frac{V_1}{V_2}=\frac{P_2}{P_1}$ [at constant temperature]

At a pressure of 14 pounds per square inches, a balloon is filled with 93 cubic inches of gas.

The volume of the gas is decreased to 31 cubic inches.

Here,

$V_1$ = 93 cubic inches, $P_1$ = 14 pounds per square inches,

$V_2$ =31 cubic inches, $P_2$ = ?

$\frac{V_1}{V_2}=\frac{P_2}{P_1}$

$\Rightarrow \frac{93}{31}=\frac{P_2}{14}$

$\Rightarrow \frac{P_2}{14}=\frac{93}{31}$

$\Rightarrow {P_2}=\frac{93}{31}\times 14$

$\Rightarrow {P_2}=42$ pounds per square inches

The new pressure of the gas is 42 pounds per square inches.

4 0

3 years ago

Construction This section of a concrete skateboard ramp has the shape of a triangular prism. Find the volume

irina [24]

Answer:

volume = 73.3ft³

value = $194.4

Step-by-step explanation:

volume of prism = (½bh)l

=(½×4×4)×9.2

=73.6ft³

value of concrete

1ft³ : $4.00

73 .6ft³ : X

X : (73.6ft³ × $4.00) ÷ 1ft³

X : $294.4

7 0

2 years ago

Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are in

dem82 [27]

There is no b unfortunately

Find inverse of x+a

x+a=y

interchAnge

y+a=x
y=x-a

Inverse is

f^{-1}x=x-a

Now

x-a=cx-d
x-cx=a-d
x(1-c)=a-d
x=a-d/1-c

You can have any number according to this but

c must not be 1
a and d must not be equal .
All three should belongs to integers set

Note:-

As there is no b given in question (May be missed in typing) Part-2 's equation can't be executed and part 3 also

5 0

2 years ago

Chose one value for x and substitute the value in the equation to get your answer pick x=15 or x=12 or x=10 2x+13

lora16 [44]

If I pick 10, then 2(10)+13=33
If I pick 15, then 2(15)+13=43
If I pick 12, then 2(12)+13=37

8 0

3 years ago

Read 2 more answers

Sajia has 30 Books in her library. she sold 9 books at the thrift store on Saturday. Write and solve and inequality to determine

ELEN [110]

Sajia can sell 21 books she can sell if she comes back on sunday and the required inequality is $9 + x \leq 30$

Solution:

Given that Sajia has 30 Books in her library

She sold 9 books at the thrift store on Saturday

To find: We have to write and solve an inequality to determine number of more books she can sell if she comes back on sunday

Let "x" be the number of more books she can sell if she comes back on sunday

We can write a inequality as:

$\text{ books already sold } + \text{ number of books remaining } \leq \text{ total number of books she has }$

$9 + x \leq 30$

Now moving 9 from L.H.S to R.H.S we get,

$x \leq 30 - 9$

On solving 30 - 9 = 21,

$x \leq 21$

So Sajia can sell 21 books she can sell if she comes back on sunday

6 0

2 years ago