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3 years ago

What is 5PX7P^3 simplified?

Mathematics

1 answer:

morpeh [17]3 years ago

5 0

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

Here's the solution ~

$\qquad \sf \dashrightarrow \: 5P \times 7 {P}^{3}$

$\qquad \sf \dashrightarrow \: (5 \times 7)(P \times P {}^{3} )$

$\qquad \sf \dashrightarrow \: 35(P {}^{ 1 + 3} )$

$\qquad \sf \dashrightarrow \:35 P {}^{4}$

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Just number 3 is fine please but if you could also 4

PIT_PIT [208]

Answer:

3. r = -8

4. x = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

2(-5r + 2) = 84

Step 2: Solve for r

Divide 2 on both sides: -5r + 2 = 42
Subtract 2 on both sides: -5r = 40
Divide -5 on both sides: r = -8

Step 3: Check

Plug in r into the original equation to verify it's a solution.

Substitute in r: 2(-5(-8) + 2) = 84
Multiply: 2(40 + 2) = 84
Add: 2(42) = 84
Multiply: 84 = 84

Here we see that 84 does indeed equal 84.

∴ r = -8 is a solution of the equation.

Step 4: Define equation

264 = -8(-8 + 5x)

Step 5: Solve for x

Divide both sides by -8: -33 = -8 + 5x
Add 8 to both sides: -25 = 5x
Divide 5 on both sides: -5 = x
Rewrite: x = -5

Step 6: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 264 = -8(-8 + 5(-5))
Multiply: 264 = -8(-8 - 25)
Subtract: 264 = -8(-33)
Multiply: 264 = 264

Here we see that 264 does indeed equal 264.

∴ x = -5 is a solution of the equation.

8 0

3 years ago

The digits 1,2,3,4,5,6,7 and 8 are arranged randomly to form a three-digit number find the probability that the number is even a

Korvikt [17]

So each digits can only be selected once.

Let's start counting desired outcome.

Hundred position need to be at least 8. There is only one possible digits. So we will go with 8 and then there are 7 remaining digits.

One position can only be 2,4,6. because we need number to be even. So that's 3 possible digits. We will take one. 6 digits remaining.

Ten position can be anything so that would be 6 possible digits.

So the number of desired outcomes is 3·6 = 18.

Now count all outcomes.

Hundred, ten, and one position can get any digits

So that's 8·7·6 = 336

So the probability would be 18 / 336 = 3 / 56 ≈ 0.0536

Hope this helps.

4 0

3 years ago

Read 2 more answers

The average of three numbers is 15. What is two times the sum of the the three numbers?

lesya [120]

Average is the sum divideided by the number of numbers added together

so avarage of 3 number is 15 means
three numbers represented as x+y+z so
$\frac{x+y+z}{3}$ = 15
(x+y+z)/3=15
multiply both sides by 3 to clear fraction
x+y+z=45
45 is the sum of the 3 numbesr
double of that is
45 times 2=90

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4 years ago

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Hi gyes what is your favourite subject tell me.My math

valina [46]

Me too!

My other favourite subject is science.

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3 years ago

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What is the answer to, - (-x - 3)?

bekas [8.4K]