When an integer is subtracted from 2 times the next consecutive integer, the
difference is 5. Find the value of the lesser integer.

Answer:

w=5

Step-by-step explanation:

3(w-2)=9

3w-6=9

w=5

Answer:

w = 5

Step-by-step explanation:

The equation is 3(w - 2) = 9
1st : Distribute 3 to w and -2
    Should equal 3w and -6
2nd : Add 6 on both sides
    Should equal 3w = 15
3rd : Divide 3 on both sides
    Should equal w = 5

Hope this helps!
--Blu

Answer:

Step-by-step explanation:

5

2

−9x−10

Calculate 5 to the power of 2 and get 25.

25−9x−10

1

Calculate 10 to the power of 1 and get 10.

25−9x−10

Subtract 10 from 25 to get 15.

15−9x

answer: 7,602

explanation: 2×3×7×181

Answer:7602

Step-by-step explanation:First line up the numbers vertically and match the places from the right like this.

181

942

* ​____

​

Now multiply the first number with the 1 st  digit in 2 nd

 number to get intermediate results. That is Multiply 181 with 2. Write the result 362 at the end leaving 0 spaces to the right like this.

181

42

*​_____

362

​

Now multiply the first number with the 2nd digit in 2nd

 number to get intermediate results. That is Multiply 181 with 4. Write the result 724 at the end leaving 1 spaces to the right like this.

181

42

*______

362

724

​______-

Now add the intermediate results to get final answer.

181

42

*_____

362

724

______

​7602

​

Answer:

x = -1, y = 1

Step-by-step explanation:

Solve the following system:

{y = 3 x + 4 | (equation 1)

y = x + 2 | (equation 2)

Express the system in standard form:

{-(3 x) + y = 4 | (equation 1)

-x + y = 2 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{-(3 x) + y = 4 | (equation 1)

0 x + (2 y)/3 = 2/3 | (equation 2)

Multiply equation 2 by 3/2:

{-(3 x) + y = 4 | (equation 1)

0 x + y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{-(3 x) + 0 y = 3 | (equation 1)

0 x + y = 1 | (equation 2)

Divide equation 1 by -3:

{x + 0 y = -1 | (equation 1)

0 x + y = 1 | (equation 2)

Collect results:

Answer: {x = -1, y = 1

The gymnasts average score is 9.07

The scores are given as

8.9, 9.2, 9.15, 9.03

The gymnasts average score is calculated using'

Average = Sum/Count

So, we have

Average = (8.9 + 9.2 + 9.15 + 9.03)/4

Evaluate

Average = 9.07

Hence, the gymnasts average score is 9.07

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[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{-3})\hspace{10em} \stackrel{slope}{m} ~=~ 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{ 3}(x-\stackrel{x_1}{(-3)}) \implies y +3= 3 (x +3) \\\\\\ y+3=3x+9\implies {\LARGE \begin{array}{llll} y=3x+6 \end{array}}[/tex]

Answer:

Simplify

x

=

35.99

dollar

11.33

dollar

.

x

=

3.1765225

Step-by-step explanation:

Answer: 19

Step-by-step explanation:

The geometric mean between -32 and i is given by:

[tex]\sqrt{-32i}[/tex]

The geometric mean between n values is given by the nth root of the multiplication of these values.

For this problem, we have that:

Due to the two values, we take the square root, hence, the geometric mean between -32 and i is given by:

[tex]\sqrt{-32i}[/tex]

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Answer:

1.33

Step-by-step explanation:

14÷10 1/2= 1.33

Answer: use a picture math thing

Step-by-step explanation:0.0038 x 105=0.399 so move the decimal point over 1 then it should look like 0.038 x 10.5=0.399 then repeat.

Answer:

3/4 of the members.

Step-by-step explanation:

4/12 simplifies to 3/4

Area of the floor of the bandstand in regular octagon is  1931.2 ft²

dimensions of a square bandstand with the same area as the octagon is 43.94 ft

square bandstand has largest perimeter.

floor has the shape of a regular octagon

Area of a regular octagon = 2a²(1+[tex]\sqrt{2}[/tex])

a = length of the side of the octagon

here a = 20 ft

Area = 2a²(1+[tex]\sqrt{2}[/tex]) = 2(20)(20)(1+[tex]\sqrt{2}[/tex])

                           = 800(1+1.414)

                           = 800(2.414)

                           = 1931.2 ft²

square bandstand with the same area as the octagon

Area of square = b²

b = length of the side of the square

1931.2 = b²

b = 43.94 ft

Perimeter of regular octagon = 8a

                                                = 8(20)

                                                = 160ft

Perimeter of Square = 4b

                                  = 4(43.94)

                                  = 175.78ft

area of the floor of the bandstand in regular octagon is  1931.2 ft²

dimensions of a square bandstand with the same area as the octagon is 43.94 ft

square bandstand has largest perimeter.

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The value of x from the given linear equation x/3-3=x/9+3 is 27.

What is linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

Given equation

x/3-3=x/9+3

=> x/3-x/9=3+3

=>(3x-x)/9=6

=>2x/9=6

=> x=9*6/2

x=27.

Therefore, the value of x from the given linear equation is 27.

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Answer:

Step-by-step explanation:

If 8 panes cost 1880

then 1 pane cost 1880 divided by 8

1 pane = $ 235

3 pane = $235 x 3

            = $ 705

$1715 + $705 = $ 2420

Answer: The answer is <

Step-by-step explanation:

Really can explain sorry

The expression is completely simplified to give 13√7

Surds are defined as square root values that cannot be further decreases to integers or whole numbers.

Another name for surds are irrational numbers.

Given the surd forms;

5√28 + √63

Now, let's find the factors of the value 28 with perfect squares.

√28 = √4 × 7

The factors of 63 with perfect squares

√63 = √9 × 7

Now, let's substitute the values

5√4 × 7 + √9 × 7

Find the perfect squares

5 × 2√7 + 3√7

Multiply through

10√7 + 3√7

Since the values have common roots, add the coefficient and keep the root the same.

We have;

13√7

Thus, the expression is completely simplified to give 13√7

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The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

                             ( -∞ , ∞ )

Set-Builder Notation:

                                  { x | x ∈ R }

The range is the set of all valid  y  values. Use the graph to find the range.

Interval Notation:

                               ( -∞ , ∞ )

Set-Builder Notation:

                                 { y | y ∈ R }

Determine the domain and range.

Domain:  ( −∞ , ∞ ), { x | x ∈ R }

Range:  ( −∞ , ∞ ), { y | y ∈ R }

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The scatter plot is shown in attached images and the line of best fit for the data set is y=1.9821x+2.1937.

The given data set is (0,2),(1,4),(2,6.5),(3,8.5),(4,10),(5,12),(6,14).

Plot the points on a coordinate plane.

Calculate the means of the x -values and the y -values.

[tex]\begin{aligned}\bar{X}&=\frac{0+1+2+3+4+5+6}{7}\\ &=\frac{21}{7} \text{ or } 3\\ \bar{Y}&=\frac{2+4+6.5+8.5+10+12+14}{7}\\ &=\frac{57}{7}\text{ or }8.14\end[/tex]

Now, we will calculate the [tex]\sum_{i=1}^{n}(x_{i}-\bar{X})(y_{i}-\bar{Y})[/tex] and [tex]\sum_{i=1}^{n}(x_{i}-\bar{X})^{2}[/tex], we get

[tex]\sum_{i=1}^{n}(x_{i}-\bar{X})^{2}=28[/tex]

and [tex]\sum_{i=1}^{n}(x_{i}-\bar{X})(y_{i}-\bar{Y})=55.5[/tex]

Calculate the slope.

[tex]\begin{aligned}m&=\frac{\sum_{i=1}^{n}(x_{i}-\bar{X})(y_{i}-\bar{Y})}{\sum_{i=1}^{n}(x_{i}-\bar{X})}\\ &=\frac{55.5}{28}\\ &=1.9821\end[/tex]

Calculate the y -intercept.

Use the formula to compute the y -intercept.

[tex]\begin{aligned}b&=\bar{Y}-m\bar{X}\\ &=8.14-(1.9821\times3)\\ &=8.14-5.9463\\ &=2.1937\end[/tex]

Use the slope and y -intercept to form the equation of the line of best fit.

The slope of the line is 1.9821 and the y -intercept is 2.1937 .

Therefore, the equation is y=1.9821x+2.1937 .

Draw the line on the scatter plot.

Hence, the scatter plot is shown in attached image and the line of best fit for given data set (0,2),(1,4),(2,6.5),(3,8.5),(4,10),(5,12),(6,14) is y=1.9821x+2.1937.

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If the expression is log₄ 5x+log₄3x, then the expression in single logarithm form looks like [tex]log_{4} 15x^{2}[/tex].

Given that the expression is log₄ 5x+log₄3x.

We have to express the expression in single logarithm.

Product property of logarithm says that the logarithm of a product is equal to a sum of logarithms. Because logs are exponents which we have to multiply like bases, we can add the exponents.

The expression is log₄ 5x+log₄3x.

log₄ 5x+log₄3x=[tex]log_{4} 15x^{2}[/tex]     (We are not required to change the base)

Hence if the expression is log₄ 5x+log₄3x, then the expression in single logarithm form looks like [tex]log_{4} 15x^{2}[/tex].

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The solutions are;

1. U = {a, d, e, i, l, n, o, p, y}

2. E ∪ I = {a, d, e, i, l, n, o, p, y}

3. E ∩ I = { }

4. J' = {a, d, e, l}

5. I ∪ J = {p, i, n, a, o, y}

6.( J ∩ I ) ∪ E = {d, o, l, e, p, i, n, y}

7. E' = {a, i, n, p, y}

8. I' ∪ J = {d, e, l, o, p, i, n, y}

9. (E ∩ I) ∩ (I ∪ J) = { }

10. (J ∪ I)' = {d, e, l}

What is Union of the set?

Union of two or more set is the set containing all the elements of the given set.

Here, U is the universal set, which is the set of all elements of the three given sets.

And, Three sets are;

⇒ E = {d, o, I, e},     I = {p, i, n, a, y},     J = {p, i, n, o, y}

Now, We find the universal set as;

1. U = {{a, d, e, i, l, n, o, p, y}

2. And, E ∪ I =  {d, o, I, e} ∪ {p, i, n, a, y}

                = {a, d, e, i, l, n, o, p, y}

Hence, E ∪ I = {a, d, e, i, l, n, o, p, y}

3.  E ∩ I =  {d, o, I, e} ∩ {p, i, n, a, y}

Since, It cannot contain any common elements.

So, Intersection of E and I is null set.

Hence, E ∩ I = { }

4. Since, J' = U - J

J' = {a, d, e, i, l, n, o, p, y} - {p, i, n, o, y}

J' = {a, d, e, l}

Hence, J' = {a, d, e, l}

5. I ∪ J = {p, i, n, a, y} ∪ {p, i, n, o, y}

           = {p, i, n, a, o, y}

Hence,  I ∪ J = {p, i, n, a, o, y}

6. ( J ∩ I ) ∪ E = ({p, i, n, o, y} ∩ {p, i, n, a, y}) ∪ {d, o, I, e}

                     = {p, i, n, y} ∪ {d, o, I, e}

                     = {d, o, l, e, p, i, n, y}

Hence, ( J ∩ I ) ∪ E = {d, o, l, e, p, i, n, y}

7.  E' = U - E

       = {a, d, e, i, l, n, o, p, y} - {d, o, I, e}

       = {a, i, n, p, y}

Hence, E' = {a, i, n, p, y}

8.  I' ∪ J = (U - I) ∪ J

            = ( {a, d, e, i, l, n, o, p, y} - {p, i, n, a, y}) ∪ {p, i, n, o, y}

            = {d, e, l, o} ∪ {p, i, n, o, y}

            =  {d, e, l, o, p, i, n, y}

Hence, I' ∪ J = {d, e, l, o, p, i, n, y}

9. (E ∩ I) ∩ (I ∪ J) = ( {d, o, I, e} ∩ {p, i, n, a, y}) ∩ ({p, i, n, a, y} ∪ {p, i, n, o, y})

                          = { } ∩ {p, i, n, a, o, y}

                          = { }

Hence,  (E ∩ I) ∩ (I ∪ J) = { }

10. (J ∪ I)' = U - (J ∪ I)

              = {a, d, e, i, l, n, o, p, y} - ({p, i, n, a, y} ∪ {p, i, n, o, y})

              = {a, d, e, i, l, n, o, p, y} - {p, i, n, a, o, y}

              =  {d, e, l}

Hence,  (J ∪ I)' = {d, e, l}

So, The solutions are;

1. U = {a, d, e, i, l, n, o, p, y}

2. E ∪ I = {a, d, e, i, l, n, o, p, y}

3. E ∩ I = { }

4. J' = {a, d, e, l}

5. I ∪ J = {p, i, n, a, o, y}

6.( J ∩ I ) ∪ E = {d, o, l, e, p, i, n, y}

7. E' = {a, i, n, p, y}

8. I' ∪ J = {d, e, l, o, p, i, n, y}

9. (E ∩ I) ∩ (I ∪ J) = { }

10. (J ∪ I)' = {d, e, l}

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Answer:

Personally, I think it depends on the amount of the product you’re buying. If the product is expensive, you should go the store with a percentage-off discount. If the product is not expensive, you should go to the store with coupon savings.

Step-by-step explanation:

For example, if you’re buying a $5 toy with a $1 coupon and 10% off, you should chose the coupon. Because if you chose the discount, it doesn’t change a lot of things. However, if you’re buying a million dollar airplane(just kidding), then you should definitely chose the discount. Because a million dollar minus 1 changes nothing. But a 10% discount can decrease the cost by 1 hundred thousand! Isn’t that surprising? Hope you understand it.

Answer:1133.5 mm²

Step-by-step explanation:

area= πr² where r is the radius

3.14x19²= 1133.5 mm²

Answer:

58

Step-by-step explanation:

2-2x-3y5

2-2(2)-3(-4)5

-2+60

58

1 apple contains a number of times calories = 95

In contrast to functions defined for other values, an arithmetic function is any mathematical function defined for integers (..., 3, 2, 1, 0, 1, 2, 3,...) and relies on the qualities of the integer itself as a number (real numbers, complex numbers, or even other functions)

Based on the given conditions, formulate: 20+6 * x = 590

Rearrange unknown terms to the left side of the equation: 6x = 590 - 20

Calculate the sum or difference:6x = 570

Divide both sides of the equation by the coefficient of variable: x = 570/6

Cross out the common factor: x = 95

get the result: x = 95

1 apple contains a number of times calories = 95.

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The values for f(x)-2 g(x) = -2x² + 8x - 1

Given :  f(x)=2 x+5

            g(x)=x²-3 x+2

Solution:

            2g(x)=2x²-6x+4

            f(x)-2 g(x) = 2 x+5 - (2x²-6x+4)

            f(x)-2 g(x) = 2 x+5 - 2x² + 6x - 4

            f(x)-2 g(x) = -2x² + 8x - 1

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Answer:

(8,-14)

Step-by-step explanation:

mid piont is (4,-5) So let us consider that S(x,y)

Now,

from mid point formula,

[tex]4 = \frac{x + 0}{2} \\ x = 8[/tex]

[tex] - 5 = \frac{y + 4}{2} \\ - 10 = y + 4 \\ y = - 10 - 4 \\ y = - 14[/tex]