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1 year ago

3x-3(4+x)=3/4(3x+2)-1 PLEASE FIND X

Mathematics

1 answer:

Llana [10]1 year ago

5 0

The value of x is 46/9.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

When both sides of an equation are same then the equation has infinitely many solutions.

We have been given equation as;

3x - 3(4 + x) = 3/4(3x + 2) - 1

LEts simplify the both hand side.

3x - 12 + -3x = 9x/4 + 3/2 - 1

12 = 9x/4 + 1/2

12 - 1/2 = 9x/4

Simplify;

23/2 = 9x /4

23(2) / 9 = x

x = 46/9

Hence, the value of x is 46/9.

Learn more about equations here;

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Suppose a family drives at an average rate of 60 mi/h on their way to visit relatives and then an average rate of 40 mi/h on the

hammer [34]

Answer:

Part A) 2 hours

Part B) d/60 hours

Part C) 48 miles/hour

Step-by-step explanation:

Part A) Let "d" be the distance in miles the family traveled to visit their relatives. How many hours did it take to drive there?

we know that

Let

x ----> the time it take on their way to visit relatives in hours

y ---> the time it take on the way back in hours

we know that

The distance of the way to visit is equal to the distance of the way back

The speed multiplied by the time is equal to the distance

60x=40y -----> equation A

y=x+1 -----> equation B

substitute equation B in equation A and solve for x

60x=40(x+1)

60x=40x+40

20x=40

x=2 hours

Find the value of y

y=2+1=3 hours

d=60x

The time it take on their way to visit relatives is 2 hours

The time it take on the way back is 3 hours

Part B) In terms of "d," how many hours did it take to drive there?

we have that

The distance is equal to the speed multiplied by the time

d=60x

Solve for x

x=d/60 hours

Part C) Write and solve an equation to determine the distance the family drove to see their relatives. What was the average rate for the entire trip?

To find the average rate for the whole trip we will need the total distance and the total time

The distance of the way to visit is

d=60x

substitute the value of x

d=60(2)=120 miles

The total distance is

120(2)=240 miles

we know that the total time is

2 + 3 =5 hours

The average rate for the complete trip is

240/5=48 miles/hour

5 0

3 years ago

Read 2 more answers

Plz HELP will give extra points

jekas [21]

The mode is 44
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2 years ago

In triangle A B C, which angle is the included angle between segment A B and segment B C?

Papessa [141]

Answer:

Step-by-step explanation:

4 0

3 years ago

PLZ HELP ME!!!<br><br> which expression represents the area of the storage facility in square feet?

WITCHER [35]

Area = (5x + 4)(4x - 4)
= 20x^2 - 20x + 16x - 16
= 20x^2 - 4x - 16 Answer

Its G

7 0

3 years ago

What is the equation for this graph’s lone of best fit. <br> this is due today pls help

Natasha2012 [34]

Answer:

I don't know if your question is multiple choice or not but here's a close estimate to what it should be.

y = $\frac{3}{4} x$

Step-by-step explanation:

Obviously at a drop of 0 height there would be 0 rebound height so your y-intercept has to be 0.

As for the slope of the line I used the point at 2.5 and 3.

Here are the coordinates (2.5, 1.25) and (3, 1.625)

Find the average rate of change as you see below

1.625 - 1.25 = .375

3 - 2.5 = .5

.375 / .5 = .75 or 3x/4

The points aren't exactly on the line and the graph isn't 100% linear so obviously the equation is not 100% precise. The slope should very close to 0.75 or 3/4.

3 0

3 years ago