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3 years ago

What is the value of p so that the expression 6x+3−(8x−5) is equivalent to (px+8) ?

Mathematics

1 answer:

Harman [31]3 years ago

8 0

6x+3-(8x-5)
=
-2x(x-4)
=
2x+8
=
p = 2

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When they are both racing on hoverboards, Victoria is 3 times as fast as her brother Max. When she is on foot, she is 3 times sl

NARA [144]

Answer:

Race completed in 48 minutes.

Step-by-step explanation:

Let the speed of Max on hoverboard is = x

Then as per question speed of Victoria on hoverboard = 3x

Now it has been given in the question that speed of Victoria on foot is 1/3 of the speed of Max on hoverboard that will be = x/3

Now we will form the equation.

As we know the formula speed = distance/time

Let the time taken by both to complete the race be t minutes.

Distance covered by Victoria in 12 minutes + Distance covered by Victoria on foot = distance covered by Max on hoverboard

Then the equation will be

12(3x)+(1/3)x(t-12)=xt

$36x+\frac{xt}{3}-4x=xt$

$x(36+\frac{t}{3}-4)=xt$

$36+\frac{t}{3}-4=t$

$32=t-\frac{t}{3}$

$\frac{2t}{3}=32$

$t=\frac{(32)3}{2}=48$

So 48 minutes it took to complete the race.

4 0

2 years ago

Read 2 more answers

The circumference is 1 mile. What is the diameter?

iren2701 [21]

Answer:

Step-by-step explanation:

circumference = 2* pi * radius = 1

-> radius = 0.1592 mile

> diameter = 2* radius = 0.31847 mile

8 0

3 years ago

The average adult in Bell Town makes $40,000

valkas [14]

I think the correct answer is A.

6 0

1 year ago

The population of a certain country is approximated by the following equation, where x is the number of years since 1980 and P i

marissa [1.9K]

Answer:

In 2010 the population become 206,123,000.

Step-by-step explanation:

Consider the provided equation.

$P=2.748x + 126.199$

Where P represents the population in millions.

We need to determine the year in which the country had population of 206,123,000.

As P is in millions so divide 206,123,000 by one million.

$\frac{206,123,000 }{1,000,000}= 206.123$

Substitute P = 206.123 in above equation.

$206.123=2.748x + 126.199$

$79.924=2.748x$

$x=\frac{79.924}{2.748}$

$x=29.08$

30 year from 1980 the population become 206,123,000.

In 2010 the population become 206,123,000.

6 0

2 years ago

What is theoretical vs experimental probability? Please help!

mrs_skeptik [129]

Answer:

See down below.

Step-by-step explanation:

Theoretical probability is what we expect to happen. For example, we do a test of flipping a coin. You know that its either gonna be heads or tails.

Experimental probability is what actually happens when we try it out. It occurs when we are doing an experiment and then something happens.

Hope this helps!

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3 years ago