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iren2701 [21]
3 years ago
11

What is the value of w in the equation 3/4w+8=w-7

Mathematics
2 answers:
baherus [9]3 years ago
7 0
Step 1. Simplify \frac{3}{4}w to \frac{3w}{4}

\frac{3w}{4} +8=w-7

Step 2. Multiply both sides by 4

3w+32=4w-28

Step 3. Subtract 3w from both sides

32=4w-28-3w

Step 4.  Simplify 4w-28-3w to w-28

32=w-28

Step 5. Simplify 32 + 28 to 60

60=w

Step 6. Switch sides

w=60

Soloha48 [4]3 years ago
5 0
3/4w+8=w-7, add 7 to both sides 3/4w+15=w,subtract 3/4w from each side and you get 15=1/4w 3.75=w
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Factor completely: 3x2 + 12x + 7
zepelin [54]

Answer:

Step-by-step explanation:

Eliminate answer 4 immediately, because (4)(3) is not 7.

Look at answer 2:  7x + 3x = 10x, which does not match the middle term 12x in the original polynomial.  Eliminate answer 2.

Look at answer 1:  1x + 21x = 22x, which does not match the middle term of the original polynomial.   Eliminate answer 1.

All quadratics have solutions.  Let's apply the quadratic formula to 3x^2 + 12x + 7:  Here a = 3, b = 12 and c = 7, so that the discriminant b²-4ac is

12²-4(3)(7), or 144 - 84, or 60.  Being positive, this tells us that the given poly has two real, unequal roots:

      -12 ± √60        -12 + 2√15                     -12 - 2√15

x = ----------------- = -------------------  and   x = --------------------

            3                         3                                     3

Normally, if c is a root, then x - c is a factor.

If we try this here, however, the resulting factors do not at all match any of your answer choices.

Don't be offended...but please ensure you have copied this problem down correctly.

                                                           

3 0
3 years ago
A polling organization asked a nation-wide random sample of 1600 new brides (those who got married in the past 2 years) the foll
iren [92.7K]

Answer:

It has millions of tickets. On each ticket is written a number a dollar amount. The exact average and SD are unknown but are estimated from the sample to be $20,000 and $5,000 respectively.

Step-by-step explanation:

Given that:

sample size n = 1600

sample mean \overline x = 20000

standard deviation = 5000

The objective is to choose from the given option about what most closely resembles the relevant box model.

The correct answer is:

It has millions of tickets. On each ticket is written a number a dollar amount. The exact average and SD are unknown but are estimated from the sample to be $20,000 and $5,000 respectively.

However, if draws are made without replacement, the best estimate of the average amount for the bride will be $20,000

Similarly, the standard error for the sample mean = \dfrac{s}{\sqrt{n}}

= \dfrac{5000}{\sqrt{1600}}

= \dfrac{5000}{40}}

the standard error for the sample mean = 125

4 0
3 years ago
Tia is 8 years younger than her sister Annette. Annette is y years old. Write an algebraic expression that describes Tia’s age.
-BARSIC- [3]
8-y
Hope this helps and please mark brainliest.
6 0
3 years ago
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What is the value of Negative 5 Superscript 6? –15,625 –30 30 15,625
babymother [125]

Answer:

15625

Step-by-step explanation:

Lets use the information to present the question into mathematical form:

(-5)^{6}

so this means -5 is multiplying itself 6 times so this means

value of negative 5 superscript 6 means

(-5)^{6} = -5 x -5 x -5 x -5 x -5 x -5

so the answer is 15625

7 0
2 years ago
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Which inequality represents all values of x for which the product below is defined?
Vedmedyk [2.9K]

Step 1 ) Separate the 4 and x.

\displaystyle\sqrt{4x} * \sqrt{x+2}

↓

\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}

Step 2 ) Simplify the square root of 4.

\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}

↓

\displaystyle\ 2 \sqrt{x} \sqrt{x+2}

Step 3 ) Simplify.

\displaystyle\ 2 \sqrt{x} \sqrt{x+2}

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\displaystyle\ 2 \sqrt{x(x+2)}

This is now in its simplest form, so the final answer is...

\displaystyle\ 2 \sqrt{x(x+2)}

or it could be...

\displaystyle\ 2 \sqrt{x} \sqrt{x+2}

Either one is correct. Only difference is one is in simplest form and one isn't.

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- Marlon Nunez

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3 years ago
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