5. The sum of three consecutive integers is
147. Which equation represents how to
find the least integer?
A. n+ (m + 1) + (n+ 2) = 147
B. 3n = 147
C. n + 2n + 3n = 147
D. 3n - 3 = 147

Answer:

C

Step-by-step explanation:

legislative risk is when the government could significantly alter the business prospects of one or more companies.

Answer: 4-6x^2

Step-by-step explanation:

f•g = f(g(x))

f(g(x)) = 4-2(3x^2) = 4-6x^2

Answer:

2/5

Step-by-step explanation:

first select the line that is positive which is the purple one

slope = change in y / change in x

two clear points are (0,2) and (5,4)

so you do y2-y1 / x2-x1

=(4-2)/(5-0)

=2/5

so the slope is 2/5

Answer:

3490

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Positive in the X-axis is always to the right and negative is left and in the Y-axis positive is up and negative is down  

Answer:

0.094

Step-by-step explanation:

I hope this helps!

See attachment for math work and answer.

Answer:

theirs many  1, 3, 5, 7, or 9.

Step-by-step explanation:

Answer:

1, 3, 5, 7, 9, 11

Step-by-step explanation:

I Hope That This Helps! :)

Answer:

21

Step-by-step explanation:

Let the three consecutive integers be;

    x , x + 1 and x + 2:

The sum of squares of the two smaller numbers:

  The two smaller numbers are x and x+ 1

Sum of their squares:

           x² + (x+1)²;

        x² + x² + 2x + 1 = 2x² + 2x + 1

It is 45 more than the square of the larger number:

    Larger number = x + 2

        (x+2)² = x² + 4x + 4

 45 more;

        x² + 4x + 4 + 45  = x² + 4x + 49

Both are equal:

 2x² + 2x + 1 =  x² + 4x + 49  

  2x² - x² + 2x - 4x + 1 - 49 = 0

      x² - 2x - 48 = 0

      x² - 6x + 8x - 48 = 0

      x(x - 6) + 8(x - 6) = 0

      (x + 8)(x-6) = 0

      x + 8 = 0 or x - 6 = 0

      x  = -8 or x = 6

We choose x = 6 because it makes the solution true as a positive integer

  Sum of the three numbers:

     x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21

Answer:

The answer would be B.

Step-by-step explanation:

This is because the total cost is $30 so it can't be c or d. A shows that Annie can only have at least $30. this means that B is the only option left.

If this answer is wrong, I deeply apoligize. I hope you have a great day.

Answer:

30

Step-by-step explanation:

59 divided by 1/2 or 2 is 29.5 which round up to 30

The round-off to the number 59 is 59.5 to the nearest half.

When a number is rounded off, it is approximated to a specific level of precision or place value. You may simplify or make a number easier to work with while still retaining a fair degree of precision by rounding it off.

To round a number to the nearest half, find the nearest half-number (0.5, 1.0, 1.5, etc.). The decimal place immediately to the right of the half is taken into account since we are trying to get the closest half in this situation.

The digit after the decimal point in the number 59 is 9. We round up since 9 is larger than 5, not 5. Consequently, the outcome is 59.5 after rounding 59 to the closest half.

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Answer:

9y= -9-2x

y=-(2/9)x-1

Step-by-step explanation:

Answer:

x=1/2

Step-by-step explanation:

98+29x=96+33x

Step 1: Simplify both sides of the equation.

29x+98=33x+96

Step 2: Subtract 33x from both sides.

29x+98−33x=33x+96−33x

−4x+98=96

Step 3: Subtract 98 from both sides.

−4x+98−98=96−98

−4x=−2

Step 4: Divide both sides by -4.

−4x

−4

=

−2/−4

x=1/2

9514 1404 393

Answer:

  range: 5 ≤ f(x) ≤ 205

Step-by-step explanation:

You can put the extreme values of x in this linear function to see its range:

  f(0) = 4·0 +5 = 5

  f(50) = 4·50 +5 = 205

The range is 5 ≤ f(x) ≤ 205.

Answer:

The minimum sample size required is 1068.

Step-by-step explanation:

The complete question is:

A researcher wishes to​ estimate, with 95​%  confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 3​%  of the population proportion.

​No preliminary estimate is available. Find the minimum sample size needed.

Solution:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this interval is:

[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

[tex]MOE=0.03\\\text{Confidence level}=95\%[/tex]

Assume that the sample proportion is 50%.

The critical value of z is, 1.96.

Compute the minimum sample size required as follows:

[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

      [tex]n=[\frac{z_{\alpha/2}\cdot \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}[/tex]

         [tex]=[\frac{1.96\times\sqrt{0.50(1-0.50)}}{0.03}]^{2}\\\\=1067.1111\\\\\approx 1068[/tex]

Thus, the minimum sample size required is 1068.

Answer:

Step-by-step explanation:

1, 5, 25 are the factor pairs and the multiples are 50.

Factor pairs of 25 :

1 , 5, 25

Given ,

Factors of 25 .

Now,

Factor is a number that divides the given number completely and remainder will be zero .

So,

25 = 5*5

25 = 5²

And,

1 and the number itself is an universal factor of any number .

Thus the factors of 25 are:

1, 5 , 25 .

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Answer:

b

Step-by-step explanation:

because air is cooler in the mountains so it'll be cold not humid

Answer:

imma say 184 rpm

Step-by-step explanation:

Answer:

inequality form:

x<17

interval notation:

(-∞,17]

Step-by-step explanation:

Answer:

thanks

Step-by-step explanation:

Answer:

The formula you'll need is:

Years = ln (total / principal) / rate

ln means natural log

Years = ln (2,000 / 1,000) / .045

Years = ln (2) / .045

Years = 0.69314718056 / .045

Years = 15.4033

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

There are 4 quarters in the box of coins.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A box of coins contains nickels, dimes and quarters.

The value of the coins is $4.00.

And, There were 3 times as many nickels, half as many dimes, and 6 more quarters, the value of the coins would be $5.50.

Now,

Let number of nickels in a box = n

Number of dimes = d

Number of quarters = q

Here, The value of the coins is $4.00.

Hence, We get;

⇒ 5n + 10d + 25q = 400 cents   .... (i)

And, There were 3 times as many nickels, half as many dimes, and 6 more quarters, the value of the coins would be $5.50.

Hence, we get;

⇒ 3(5n) + 5d + 25(q+6) = 550 cents

⇒ 15n + 5d + 25q + 150 = 500

⇒ 15n + 5d + 25q = 350   .. (ii)

After solving equation (i) and (ii), we get;

Number of nickels in a box = n = 12

Number of dimes = d = 24

Number of quarters = q = 4

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Answer:

233

Steps:

427-62=365

365-78=287

287-54=233

here is the correct answer

Answer:

X = 6

Step-by-step explanation:

150 - 3x = 120 + 2x

150 = 120 + 5x

30 = 5x

6 = x

x = 6

The solution to the equation is x = 6.

To solve this equation 150 - x - 2x = 120 +2x , we need to isolate the variable x.

To simplify the equation ;

Distribute the negative sign to the terms inside the parentheses:

150 - x - 2x = 120 + 2x

150 - 3x = 120 + 2x

Combine like terms on both sides of the equation:

-3x - 2x = 120 - 150

-5x = -30

Divide both sides of the equation by -5 to solve for x:

-5x / -5 = -30 / -5

x = 6

Therefore, the solution to the equation is x = 6.

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9514 1404 393

Answer:

  10, 12, 14   and maybe {8, 10, 12} and {12, 14, 16}, depending on the meaning of the question

Step-by-step explanation:

If x is the middle one, then their sum is 3x. You want ...

  15 < 3x/2 < 21 . . . . assuming "between 15 and 21" does not include 15 or 21

  30 < 3x < 42

  10 < x < 14

The only even integer in that range is 12, so the three integers are ...

  10, 12, 14 . . . . . half their sum is 18

__

We have used <, rather than ≤ in the above solution. This assumes that "between" does not include the values at the end of the range. If those values are included, then two additional solutions are possible: {8, 10, 12} and {12, 14, 16}. For the first set, the half-sum is 15; for the second set, the half-sum is 21.