All categories

3 years ago

Given that (3.1418)17.5=3.14(3p17.5).Find the value of p

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

5 0

Answer:

The value of p = 6.

Step-by-step explanation:

Given the expression

$\left(3.14\cdot \:18\right)\cdot \:17.5=3.14\left(3p\cdot \:17.5\right)$

Solving for p

$\left(3.14\cdot \:18\right)\cdot \:17.5=3.14\left(3p\cdot \:17.5\right)$

switch sides

$3.14\left(3p\cdot \:17.5\right)=\left(3.14\cdot \:18\right)\cdot \:17.5$

Remove parentheses: (a) = a

$3.14\left(3p\cdot \:17.5\right)=3.14\cdot \:18\cdot \:17.5$

Multiply the numbers: $3.14\cdot \:18\cdot \:17.5=989.1$

$3.14\left(3p\cdot \:17.5\right)=989.1$

Multiply both sides by 100

$3.14\cdot \:3p\cdot \:17.5\cdot \:100=989.1\cdot \:100$

Refine

$16485p=98910$

Divide both sides by 16485

$\frac{16485p}{16485}=\frac{98910}{16485}$

Simplify

$p=6$

Therefore, the value of p = 6.

You might be interested in

Find the quotient −12.73 /−1.9

BlackZzzverrR [31]

The answer would be 6.7

5 0

3 years ago

When simplifying 4x^3-10x^2+6x/2x^3+x^2-3x, what are the term(s) that can be cancelled

brilliants [131]

Answer:

x can be cancelled

Step-by-step explanation:

we are given

$\frac{4x^3-10x^2+6x}{2x^3+x^2-3x}$

Firstly, we will factor numerator and denominator

and then we can factor it

$4x^3-10x^2+6x=2x(2x^2-5x+3)$

$4x^3-10x^2+6x=2x(2x+1)(x-3)$

now, we can factor denominator

$2x^3+x^2-3x=x(2x^2+x-3)$

$2x^3+x^2-3x=x(x-1)(2x+3)$

now, we can replace it

$\frac{4x^3-10x^2+6x}{2x^3+x^2-3x}=\frac{2x(2x+1)(x-3)}{x(x-1)(2x+3)}$

we can see that

both terms are having x common

so, x can be cancelled

So,

x can be cancelled

3 0

4 years ago

You are hiking in the woods at a rate of 3 mph. The function y=3x describes how many miles y you walk in x hours. create an inpu

Finger [1]

Answer:

x ---- y

1 ---- 3

4 ---- 12

6 ---- 18

Step-by-step explanation:

Given

$y = 3x$

Required

Create a table that represents this scenario

Because x represents time, x can not be negative. So, the domain of x is:

$x \geq 0$

Assume $x = 1$

$y = 3 * 1 = 3$

Assume x = 4

$y=3*4 = 12$

Assume x = 6

$y=3*6 = 18$

Hence, the table is:

x ---- y

1 ---- 3

4 ---- 12

6 ---- 18

4 0

3 years ago

1. Four bags of chips cost $6. 1. What is the cost per bag? 2. At this rate, how much will 7 bags of chips cost?

77julia77 [94]

Answer:

$1.50 dollars per bag and at that rate it would be $7.50 for 6 bags of chips

Step-by-step explanation:

8 0

3 years ago

Parabolas in geometry. i need help please

natali 33 [55]

Answer:

OPtion B

Step by step explanation:

Lets plug in a random value for x.

Lets say 5 is x

-8(-5-5)=(y+1)^2

5-5 = 0

-8(0) = 0

0 = (y+1)^2

Square root of both sides

0 = y+1

subtract one from both sides

-1 = y

that means the x is 5 and the y is -1. Option B illustrates exactly that!

7 0

3 years ago

Given that (3.14*18)*17.5=3.14*(3p*17.5).Find the value of p

Given that (3.1418)17.5=3.14(3p17.5).Find the value of p