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Nat2105 [25]
3 years ago
10

Explain the steps that are necessary to solve 4x - 2(x + 3) = x + 1

Mathematics
2 answers:
Sidana [21]3 years ago
8 0
So you would distribute what's in the parenthesis and end up with 4x-2x-6=x+1, then you combine like terms and end up with 2x-6=x+1, now you can add 6 to both sides or subtract 1 both sides (basically anything goes for this step just make sure you apply the same thing on both sides) so I'll add 6 and continue just to show you... then you end up with 2x=x+7 then you subtract 1x on both sides to get x=7. sorry it's a lot hopefully you get it know!
juin [17]3 years ago
4 0
First distribute
4x-2x-6=x+1
Then combine like terms
2x-6=x+1
Subtract one from both sides
2x-7=x
Subtract the 2x
-7=-x
Divide both side by negative 1
7=x
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At a restaurant, four people ordered fried crab cakes and four people ordered a cup of gumbo, with a total of $31. If only two p
ruslelena [56]

Answer:

Fried crab cakes = $4.50

Cup of gumbo = $3.25

Step-by-step explanation:

Let's make the price of fried crab cakes = x and the price of a cup of gumbo = y. Set up two equations for x and y and solve for each variable.

<h3><u>Setting up the equations:</u></h3>

4 people ordered x and 4 people ordered y for a total of 31 dollars, so this equation would look like: 4x + 4y = 31

2 people ordered x and 1 person ordered y for a total of $12.25, so this equation would look like: 2x + y = 12.25

<h3><u>Substitution method:</u></h3>

Now you have your two equations-- solve for a variable in one of the equations and substitute that value into the other equation.

The easiest way to start would be to solve for y in the second equation by subtracting 2x from both sides.

y = 12.25 - 2x

Substitute this value into the first equation.

4x + 4(12.25 - 2x) = 31

Now solve for x-- start by distributing 4 inside the parentheses.

4x + (49 - 8x) = 31

Combine like terms.

-4x + 49 = 31

Subtract 49 from both sides.

-4x = -18

Divide both sides by -4.

x = 4.5

Substitute this value of x into our starting equation for which we solved for y.

2(4.5) + y = 12.25

Multiply 2 and 4.5 together.

9 + y = 12.25

Subtract 9 from both sides.

y = 3.25

Each order of fried crab cakes is worth the x-value [$4.50] and each cup of gumbo is worth the y-value [$3.25].

7 0
3 years ago
MATH QUESTION HELP PLZ
Phantasy [73]

Answer:

Step-by-step explanation:

You have to first enter these values into a table.  You find that table on your calculator at "stat" then "edit".  In L1, enter all the x values, hitting "enter" after each entry.  Then arrow over to L2 and enter all the y values.  When you are done, hit "stat" again, then "calc" and choose 4 LinReg, then hit enter.  If you do not see the r and r-squared values, then you need to turn on your diagnostics.  To do this, hit 2nd, then 0 to pull up your catalog.  Hit the x^{-1} button and that brings up all the D's in your catalog.  Arrow down til you see "DiagnosticsOn" and hit enter.  Then hit enter again.  Go back to "stat", "calc", "4 LinReg" and hit either enter or calculate (it depends upon which calculator you have.  The TI 83 just needs the "enter" button, while the TI84 family requires that you scroll down to the word "calculate" and hit "enter").  Then when the linear regression equation comes up, you will see underneath it both the correlation coefficient (r) and the coefficient of determination (r-squared).  You should see that your r value is .84 for this data set.  Just so you know, r can be negative, but r-squared never will be.

5 0
3 years ago
Leon wrote an expression that is equivalent to (30 + 6) ÷ 12. Which expression could be the one Leon wrote?
lesya [120]

Answer:

36/3*4

Step-by-step explanation:

Brainliest please!

8 0
3 years ago
Find the value of x
Doss [256]

Answer:

x = 40

Step-by-step explanation:

The three angles in a triangle add to 180 degrees

x + 30 + (3x-10) = 180

Combine like terms

4x +20 = 180

Subtract 20 from each side

4x+20-20 = 180-20

4x= 160

Divide each side by 4

4x/4 =160/4

x = 40

8 0
3 years ago
How many edges does a polyhedron with 28 faces and 40 vertices have calculator?
emmasim [6.3K]
Hey user!

your answer is here..

we know about EULER'S FORMULA, it is a formula used to verify a polyhedron or to calculate the number of faces, vertices or edges.

Euler's formula = F + V - E = 2

given :-

faces = 28, verticies = 50 and edge = ?

we know that F + V - E = 2

therefore 28 + 40 - E = 2

==> 68 - E = 2

==> - E = 2 - 68

==> - E = - 66

==> E = 66

hence, the number of edges of the polyhedron is 66.

cheers!!
6 0
3 years ago
Read 2 more answers
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