In December yanni’s chocolate shop received 180 telephone orders. In January they received only 72 telephone orders. By what percent did the number of telephone orders decrease from December to January

Answer:

[tex]38[/tex] and [tex]68[/tex].

Step-by-step explanation:

Let [tex]x[/tex] be the smaller one of the two number.

[tex]x[/tex] must be a positive integer. The other number would be [tex](x + 30)[/tex].

The question states that the product of the two numbers is [tex]2584[/tex]. In other words:

[tex]x\, (x + 30) = 2584[/tex].

Rearrange this equation and solve for [tex]x[/tex]:

[tex]x^{2} + 30\, x - 2584 = 0[/tex].

The first root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}[/tex].

Similarly, the second root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}[/tex].

Since the question requires that both numbers should be positive, [tex]x > 0[/tex]. Therefore, only [tex]x = 38[/tex] is valid.

Hence, the two numbers would be [tex]38[/tex] and [tex](38 + 30)[/tex], which is [tex]68[/tex].

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Answer:

  38 and 68

Step-by-step explanation:

Let x represent the average of the two numbers. Then their product is ...

  (x -15)(x +15) = 2584

  x^2 = 2584 +225 = 2809 . . . . . . use relation (x -a)(x +a) = x^2 -a^2; add a^2

  x = √2809 = 53

Then the two numbers are ...

  53 +15 = 68

and

  68 -30 = 38

The two numbers are 38 and 68.

_____

Additional comment

Solving the problem in this way is equivalent to writing the quadratic equation for the smallest (or largest) number and solving that by completing the square. The "solution" x = -53 is not relevant in this problem.

Tables are used to show the relationship between variables in a visual form. The equation of the situation is: [tex]y = 7x[/tex]

The complete table is as follows:

[tex]\left[\begin{array}{cccccc}{Pages}&1&2&4&6&8\\{Photos}&7&14&28&42&56\end{array}\right][/tex]

Given that:

[tex]2\ page = 14\ photos[/tex]

Let:

[tex]y \to pages[/tex]

[tex]x \to photos[/tex]

So, we have:

[tex]2y = 14x[/tex]

Divide by 2

[tex]y = 7x[/tex]

To fill the table, we simply multiply both sides by the same constant.

Multiply by 0.5

[tex]2\ page \times 0.5= 14\ photos \times 0.5[/tex]

[tex]1\ page = 7\ photos[/tex]

Multiply by 2

[tex]2\ page \times 2 = 14\ photos \times 2[/tex]

[tex]4\ page = 28\ photos[/tex]

Multiply by 3

[tex]2\ page \times 3 = 14\ photos \times 3[/tex]

[tex]6\ page = 42\ photos[/tex]

So, the table is as follows:

[tex]\left[\begin{array}{cccccc}{Pages}&1&2&4&6&8\\{Photos}&7&14&28&42&56\end{array}\right][/tex]

Read more about tables at:

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Answer:

12 cookies = 10minutes

200 cookies = x minutes

cross multiply

200×10 = 12x

2000= 12x

divide both sides by 12

X = 166.67 minutes

Step-by-step explanation:

that is 200 cookies will take 166.67 minutes

Answer:

[tex]12 \: cookies \: in \: 10 \: minut \: \\ 1 \: cookie \: in \: \frac{10}{12} = \frac{5}{6} \: minute \\ for \: 200 \: cookies = \frac{5}{6} \times 200 = 166.67 \: minute \\ thank \: you[/tex]

Answer:

1st box: 1

2nd box: 1

Step-by-step explanation:

1: 3 * 7 = 21, so only put the 1 and carry the 2.

2: 5 * 6 = 30, but we have a 1 from the previous answer given so 31, but only put the 1.

I hope this helps :)

Answer:

Step-by-step explanation:

Quantity 3 plus the square root of negative 16 end quantity:

Quantity 6 minus the square root of negative 64 end quantity:

Multiply the two above:

Answer:

A. x≤2; B. wrong unequality after dividing by negative number.

Step-by-step explanation:

9x-18x≥ -18;

-9x≥ -18;

0≥ -18+9x;

18≥9x;

9x≤18;

x≤2.

Answer:

[tex]\frac{3}{50}[/tex]

Step-by-step explanation:

6% = [tex]\frac{6}{100}[/tex]

= 0.06

= [tex]\frac{0.06}{1}[/tex] × [tex]\frac{100}{100}[/tex]

= [tex]\frac{6}{100}[/tex]

= [tex]\frac{3}{50}[/tex]

Answer:

Angle 8=115 degrees

Angle 2= 65 degrees

Angle 6 + angle 7 = 65+65 = 130 degrees

Angle 3 + angle 5 = 180 degrees

Step-by-step explanation:

Answer:

The prime factors are: 2 x 2 x 2 x 3 x 7 x 7 x 13

Step-by-step explanation:

The 10 hypothetical numbers which meets the conditions given on the question may include :

1, 2, 3, 5, 6, 6, 7, 10, 10, 12

The five number summary include the maximum, minimum, lower quartile, Median and upper quartile of a distribution.

The five number summary of the hypothetical data are:

Median: 6

Minimum: 1

Maximum: 12

Lower quartile: 2.75

Upper quartile: 10

Comparing the 5 - number summary of the hypothetical data with that of the given boxplot.

From the given  boxplot shown :

Minimum value = 1

Maximum value = 12

Median = 6

LOWER QUARTILE, Q1 = 4

UPPER QUARTILE, Q3 = 8

IQR = (Q3 - Q1) = 8 - 4 = 4

THE 10 made up numbers :

1, 2, 3, 5, 6, 6, 7, 10, 10, 12

The five number summary for the made up data :

Median = 1/2(n+1)th term = 5.5th term = (6+6)/2 = 6

Minimum: 1

Maximum: 12

First quartile = 1/4(n+1)th = 2.75th term = (2+3)/2 = 2.5

Third quartile: 3/4(n+1)th term = 8.25 = (10+10)/2 = 10

Interquartile Range: (10 - 2.5) = 7.5

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answer: 9

Step-by-step explanation:

x = - 4; y = 3; z = 2;2 x² - 2 z^4 + y² - x² + z^4 = = 2 * (-4)² - 2 * 2^4 + 3² - ( -4)² + 2^4 == 2 * 16 - 2 * 16 + 9 - 16 + 16 = = 32 - 32 + 9 - 16 + 16 = 9

Power Walking has been at the top of a natural range to walk with such a speed. A walk defines as a walking journey, and the further discussion can be defined as follows:

Given:

Power walking by the Gabriella by every 3 days  

Walking by the Mona by every 5 days  

Both walk on Monday then They both walked together,

after taking LCM of 5 and 3 that is = 15 days

For question a:

When both walk again after the same day is = 15 days

For question b:

"Tuesday" is the weekday that will it be when they walk again on the same day.

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Answer:

Three axis given

[tex]\\ \sf\longmapsto \overleftrightarrow{HI}[/tex]

[tex]\\ \sf\longmapsto \overleftrightarrow{EF}[/tex]

[tex]\\ \sf\longmapsto \overleftrightarrow{GJ}[/tex]

Now

All are intersected at one point G

Hope thia help u!!!!!...:/)

Answer:

Step-by-step explanation:

Answer: 0.86

Step-by-step explanation:

Answer:

5 + 8 × 4

Assuming "five and eight" means 5 + 8

Answer:

because P(x) has factors of (x-2) and (x+1) => x = 2 and x = -1 are the solutions of P(x)

so we have:

[tex]\left \{ {{2^{4}+2^{3}a-2^{2}+2b-12 =0} \atop {1-a-1-b-12=0}} \right.\\=>\left \{ {{8a+2b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{4a+b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{a=4} \atop {b=-16}} \right.[/tex]

=> [tex]P(x)=x^{4} + 4x^{3}-x^{2} -16x-12[/tex]

With P(x) = 0

=> [tex]x^{4}+4x^{3}-x^{2} -16x-12 = 0[/tex]

=> ........

Step-by-step explanation:

Answer:

give brainliest please I need it to level up

Step-by-step explanation:

20 + 8

4(5 + 2)

100 + 75

25(4 + 3)

49 + 28

7(7 + 4)

32 + 24

8(4 + 3)

Answer:

Ans; 8 +20 —> 4(2+5)

Ans; 75+100 —> 25(4+3)

Ans; 28+49 —> 7(4+7)

Ans; 24+32 —> 8(3+4)

I hope I helped you^_^

The GCF of 10 and 6 is 2. May this will help you.

The correct option is (a) i.e. Regression equations are usually used to predict values of unavailable data. If the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. The more closely data fit a model, the more accurate predicted values will be.

What is Regression analysis?

A collection of statistical techniques known as regression analysis is used to estimate the associations between a dependent variable and one or more independent variables. It can be used to simulate the long-term link between variables and gauge how strongly the relationships between them are related.

Although there are non-linear regression techniques for more complex data and analysis, simple linear regression and multiple linear regression are the two fundamental types of regression. While multiple linear regression employs two or more independent factors to predict the outcome, simple linear regression just uses one independent variable to explain or predict the outcome of the dependent variable Y. (while holding all others constant).

Professionals in other industries, including banking and investment, might benefit from regression. Regression can also aid in predicting sales for a business based on external factors like the weather, past sales, GDP growth, and other variables. A popular regression model in finance for valuing assets and calculating capital expenses is the capital asset pricing model (CAPM).

To learn more about Regression analysis, visit the link :

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#SPJ1

Answer:

-1/2

Step-by-step explanation:

3(y+13 )=36

y+13=12

y=-1

(1/2) x -1 = -1/2

3(y + 13) = 36

Distribute the 3

3y + 39 = 36

Subtract 39 from both sides.

3y = -3

Divide both sides by 3

y = -1

1/2y = 1/2(-1) = -1/2

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Answer:

  D.  G(x) = (x+3)² -2

Step-by-step explanation:

G(x) is translated left 3 and down 2 from F(x). The transformation ...

  G(x) = F(x -h) +k

is a translation right h units and up k units. We have h=-3 and k=-2, so the function of interest is ...

  G(x) = F(x +3) -2

  G(x) = (x +3)² -2

Answer:

3rd, y=-1/5x

Step-by-step explanation:

Answer:

3x + 57 ≤ 90

Step-by-step explanation:

Answer:

3x+57<90

Step-by-step explanation:

Have a good day :)

Answer:

ffffgggghhhuukufgnjsdhn

Answer:

∞

Step-by-step explanation:

since cos(0) = 1, you have 1/0

Answer:

Step-by-step explanation:

First we have to match these two terms

g(x)= g(-3)

Now we just replace the -3 with the x

-3^2 - 4

9-4

5 ----> the final answer

(btw the negative turned positive because it is squared)

Answer:

Step-by-step explanation: