1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kryger [21]
3 years ago
10

pasha is thinking of a number such that when twice the number is added to three times one more than the number she gets the same

result as when she multiplies four times one less than the number. what number is pasha thinking about?
Mathematics
2 answers:
Lelechka [254]3 years ago
5 0
<span>This is the equation made from the problem where x=mystery number
</span><span>2x+3(x+1)=4(x-1)</span><span>

</span><span>Now let's solve for x!
</span><span>
</span><span>We start by distributing 3 into (X+1)
</span><span>
</span><span>3(x)=3x  and 3(1)=3
</span><span>
</span><span>Now our equation is 2x+3x+3=4(x-1)
</span><span>
</span><span>Let's combine both x values on the left side of the equation: 2x + 3x=5x
</span><span>
</span><span>We now have 5x+3=4(x-1)
</span><span>
</span><span>Let's distribute 4 into (x-1)
</span><span>
</span><span>4(x)=4x  and 4(-1)=-4
</span><span>
</span><span>Now our equation is 5x+3=4x-4
</span><span>
</span><span>subtract 3 form both sides
</span><span>
</span><span>5x=4x-7
</span><span>
</span><span>subtract 4x from both sides
</span><span>
</span><span>x=-7
</span><span>
</span><span>Yay! So the number she is thinking of is -7!</span><span>








</span>
Agata [3.3K]3 years ago
5 0

Answer:

The number is -7.

Step-by-step explanation:

Let the number be = x

when twice the number is added to three times one more than the number. Mathematically, we can denote this as:

2x+3(x+1)  

She gets the same result as when she multiplies four times one less than the number.

4(x-1)

Now, both the results are same, so we will equate them same.

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

=> 2x+3x+3=4x-4

=> 5x+3=4x-4

=> 5x-4x=-4-3

This gives x = -7

So, the number Pasha was thinking was -7.

We can check this:

2(-7)+3(-7+1)=4(-7-1)

=> -14+3(-6)=4(-8)

=> -14-18=-32

=> -32=-32   (checked)

You might be interested in
Help me plz and explain how u got it
mario62 [17]
The baskets that DO have eggs in the baskets are  2 3 4 26 34 46 
i am not 100% sure if its right but i think it is 
hope i helped
5 0
3 years ago
Read 2 more answers
Answer please I’m dying from math
charle [14.2K]

Answer:

\huge\boxed{\text{D)} \  15x^4 + 2x^3 - 8x^2 - 22x - 15}

Step-by-step explanation:

We can solve this multiplication of polynomials by understanding how to multiply these large terms.

To multiply two polynomials together, we must multiply each term by each term in the other polynomial. Each term should be multiplied by another one until it's multiplied by all of the terms in the other expression.

  • <em>We can do this by focusing on one term in the first polynomial and multiplying it by </em><em>all the terms</em><em> in the second polynomial. We'd then repeat this for the remaining terms in the second polynomial.</em>

Let's first start by multiplying the first term of the first polynomial, 3x^2, by all of the terms in the second polynomial. (5x^2+4x+5)

  • 3x^2 \cdot  5x^2 = 15x^4
  • 3x^2 \cdot 4x = 12x^3
  • 3x^2 \cdot 5 = 15x^2

Now, we can add up all these expressions to get the first part of our polynomial. Ordering by exponent, our expression is now

  • \displaystyle 15x^4 + 12x^3 + 15x^2

Now let's do the same with the second term (-2x) and the third term (-3).

  • -2x \cdot 5x^2 = -10x^3  
  • -2x \cdot 4x = -8x^2
  • -2x \cdot 5 = -10x
  • Adding on to our original expression: \displaystyle 15x^4 + 12x^3 - 10x^3 + 15x^2 - 8x^2 - 10x

  • -3 \cdot 5x^2 = -15x^2
  • -3 \cdot 4x = -12x
  • -3 \cdot 5 = -15
  • Adding on to our original expression: \displaystyle 15x^4 + 12x^3 - 10x^3 + 15x^2 - 8x^2 - 15x^2 - 10x - 12x - 15

Phew, that's one big polynomial! We can simplify it by combining like terms. We can combine terms that share the same exponent and combine them via their coefficients.

  • 12x^3 - 10x^3 = 2x^3
  • 15x^2 - 8x^2 - 15x^2 = -8x^2
  • -10x - 12x = -22x

This simplifies our expression down to 15x^4 + 2x^3 - 8x^2 - 22x - 15.

Hope this helped!

7 0
2 years ago
Read 2 more answers
Find the residual values, and use the graphing calculator tool to make a residual plot. A 4-column table with 5 rows. The first
Svetlanka [38]

The best answer from the options that proves that the residual plot shows that the line of best fit is appropriate for the data is: ( Statement 1 ) Yes, because the points have no clear pattern

X         Given     Predicted     Residual value

1            3.5           4.06             -0.56

2           2.3           2.09             0.21

3            1.1            0.12               0.98

4           2.2           -1.85              4.05

5          -4.1            -3.82            -0.28

The residual value is calculated as follows using this formula: ( Given - predicted )

1) ( 3.5 - 4.06 ) = -0.56

2) ( 2.3 - 2.09 ) = 0.21

3) ( 1.1 - 0.12 ) = 0.98

4) (2.2 - (-1.85) = 4.05

5) ( -4.1 - (-3.82) = -0.28

Residual values are the difference between the given values and the predicted values in a given data set and the residual plot is used to represent these values .

attached below is the residual plot of the data set

hence we can conclude from the residual plot attached below that the line of best fit is appropriate for the data because the points have no clear pattern ( i.e. scattered )

learn more about residual plots : brainly.com/question/16821224

5 0
2 years ago
Lucy took out a $15,000 to buy her new car. The bank charged her 8% simple interest rate for the term of 5 years. What is the en
MA_775_DIABLO [31]

Answer:

<h2>$21000</h2>

Step-by-step explanation:

This problem is on simple interest calcultion

A=P(1+r*n)

 where

A=accumulated amount (final)

P= principal amount (initial), $15,000

r=interest written as decimal, 8% = 8/100= 0.08

n=number of years, 5years

Substituting into the expression we have

A=15000(1+0.08*5)

A= 15000(1+0.4)

A=15000(1.4)

A=$21000

<h2>Hence the ending balance that lucy would pay is $21000</h2>
5 0
3 years ago
Need help please ASAP
Ostrovityanka [42]

Answer:

D

Step-by-step explanation:

You have 4 chairs originally, added 2 and if you separate the tables you would get T=whatever the number is. i think

4 0
2 years ago
Other questions:
  • For vectors t, u, v, and w defined as shown, select the TRUE equation.
    7·1 answer
  • PLEASE QUICK!!
    15·2 answers
  • A drum of oil has a height of 4 feet and a radius of 1.2 feet. the oil cost $22 per cubic feet.
    12·2 answers
  • Solve 14n+6p-8n=18p for n
    12·1 answer
  • Please help I'll give you brainliest and a lot of points
    9·1 answer
  • 3) 150% of what number is 63?
    14·2 answers
  • Determine whether each relationship is a function
    9·1 answer
  • Someone help will mark rbainliest
    11·1 answer
  • Use the benchmark 1/2 to compare 5/8 and 2/7
    10·1 answer
  • 66
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!