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HACTEHA [7]
2 years ago
11

Solve the equation 3(x+1)+2x=1/2(10x-14) Plz show the steps

Mathematics
2 answers:
Umnica [9.8K]2 years ago
8 0

Answer:

x=-2

Step-by-step explanation

1) Remove () and Rewrite

  • 13x+13+2x=1/2x2(5x-7)

2) Collect Like Terms

  • 15x+13=5x-7

3) Move Terms

  • 15x-5x=-7-13

4) Divide Both Sides

  • 10x=-20

ANSWER IS x=-2

IrinaK [193]2 years ago
8 0

Answer:

0=−20

Step-by-step explanation:

Distribute

Combine like terms

Combine multiplied terms into a single fraction

Multiply by 1

Subtract from both sides of the equation

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A pizza chain wants to send codes for $2 off a large pizza to the subscribers of its e-mail list. Each coupon code will have thr
kati45 [8]

Answer:

438,012 ways.

Step-by-step explanation:

We have been given that each coupon code will have three letters followed by two digits. The letters M, N, and O and the digits 1, 3, 5, and 7 will not be used. So, there are 23 letters and 6 digits that will be used.

Since the letters and digits can be repeated, so we will use fundamental principal of counting.

For first place, we can use 23 letters, for 2nd and 3rd place we can use 23 letters.

We can use 6 digits for 1st digit place and 6 digit for 2nd digit place as repetition is allowed.

So we can choose coupon code is following ways:

23\cdot 23\cdot 23\cdot 6\cdot 6=438012

Therefore, we can choose coupon codes in 438,012 ways.

3 0
3 years ago
Two integers, a and b, have a product of 36. What is the least possible sum of a and b?
Minchanka [31]
<h3>Answer:  12</h3>

==============================================================

Explanation:

The two integers multiply to 36, so,

ab = 36

which solves to

a = 36/b

Then we want to add the numbers such that we get the smallest possible result.

a+b = (36/b)+b

So we want (36/b)+b to be as small as possible.

Let's say we replace b with x and we consider this function

f(x) = (36/x) + x

The goal is to find when f(x) is smallest, ie, we want to minimize the function.

If we were to graph out the function, we get the curve shown below.

To make things easier, we'll only focus on positive values of x.

The lowest part of the curve is what we're after. Using the "minimum" function/feature on the graphing calculator, we would then find the lowest point occurs at (6,12). This point is considered a local minimum because it's the lowest point in that given neighborhood of x values.

So the input x = 6 leads to the smallest output f(x) = 12.

This in turn means b = 6 is going to pair with a = 36/b = 36/6 = 6.

In short, a = 6 and b = 6.

----------------------

As a check,

a*b = 6*6 = 36

a+b = 6+6 = 12

We can make a table of various values to help confirm that 12 is the smallest sum.

Side note: If you're not allowed to use a graphing calculator, then you'll need to use calculus.

8 0
2 years ago
if a real estate company gives 3% commission on to it's agents. if an agent sold a piece of land for 12,50,000, how much cccommi
liubo4ka [24]

Answer:

37500

Step-by-step explanation:

3% of 1250000

That is (3/100)*1250000

The answer is 37500

4 0
3 years ago
Which expression has the same value as 4x – 3y?
coldgirl [10]

Answer:

4x+(-3y)

Step-by-step explanation:

\\ \rm\longmapsto 4x+(-3y)

  • (-)(-)=(+)
  • (+)(-)=(-)
  • (-)(+)=(-)
  • (+)(+)=(+)

\\ \rm\longmapsto 4x-3y

5 0
2 years ago
Can someone help me with the questions in the picture?
jolli1 [7]

Answer:

1. x= -4

2. x= 18

3. x= -15

4. x = 6

Step-by-step explanation:

Use relationship of angles to create equations and solve for x

6 0
3 years ago
Read 2 more answers
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