A bakery makes fruit pies and cream pies.
Twelve out of every 20 pies baked are fruit
pies. What is the ratio of cream pies to fruit
pies?

Answer:

8a(3a + 1)

Step-by-step explanation:

24a² + 8a

8a(3a + 1)

I hope this helps!

answer is here

some drawing:

cool

∉343

Answer: Need a math question

Step-by-step explanation:  x3+y3+z3= ?

If Zeke learned that he could earn another $2000 a year if he become fluent in Spanish and he intended to learn the language and work another 10 years at that job, then the amount is learning Spanish worth to him is $20000

The extra amount he could make if he learn Spanish = $2000

The number of years he works = 10 years

To find the extra amount, we have to use multiplication

The extra amount he could make if he learn Spanish = The extra amount he could make if he learn Spanish × The number of years he works

Substitute the values in the equation

= 2000×10

Multiply it

= $20000

Hence, if Zeke learned that he could make another $2000 a year if he become fluent in Spanish and he intended to learn the language and work another 10 years at that job, then the amount is learning Spanish worth to him is $20000

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The product of (1 + 3i)(1 – 3i) is a real number.

Complex Numbers in Math. Complex numbers are the numbers that are expressed in the form of a+ib where, a, b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).

We know that,

[tex]i^{2} = -1[/tex]

case A) [tex](1+3i)(6i)[/tex]

applying distributive property

[tex]6i+18i^{2}[/tex]

[tex]6i-18[/tex]

This is not a real number.

case B) (1+3i) (2-3i)

applying distributive property

[tex]2-3i+6i-9i^{2}[/tex]

[tex]11+3i[/tex]

This is also not a real number.

case C) [tex](1+3i) (1-3i)[/tex]

applying difference of square

[tex]1-9i^{2}[/tex]

1+9 = 10

This is a real number.

case D) [tex](1+3i) (3i)[/tex]

applying distributive property

[tex]3i+9i^{2}[/tex]

[tex]3i-9[/tex]

This is not a real number.

Hence, The product of (1 + 3i)(1 – 3i) is a real number

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A = amount of sales

so hmmm The Furniture Barn gives only 5% of "A" then, that means

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of A}}{\left( \cfrac{5}{100} \right)A}\implies 0.05A[/tex]

whilst The Furniture Warehouse gives you 350 bucks per week and only 1% of "A", well, that means you gross pay there will 350 + 0.01A.

hmmm how much will "A" be for both offers to pay the same amount?

[tex]\stackrel{Furniture~Barn}{0.05A}~~ = ~~\stackrel{Furniture~Warehouse}{350 + 0.01A} \\\\\\ 0.04A=350\implies A=\cfrac{350}{0.04}\implies \boxed{A=8750}[/tex]

Your answer is correct.

Answer:

Step-by-step explanation:

d

The function f(x) = 2x² - x + 3 equals to 9 when x is equal to 2.

What is function in mathematics?

In mathematics, a function is an expression, rule, or law that establishes the connection between an independent variable and another variable (the dependent variable). In mathematics, functions exists everywhere, and they are crucial for constructing physical links in the sciences.

The function given in the question is:

f(x) = 2x² - x + 3

We have to find f(x) when x = 2,

We are replacing x with 2 in given function, we get:

f(x) = 2(2)² - 2 + 3

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

f(x) = 8 -2 +3

f(x) = 9

Hence the given function equals to 9 when x is equal to 2.

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Complete question

Given f(x) = 2x² -x+3

Find f(x) when x = 2

The equation of the line perpendicular to the line −7x+2y=3 having the same y-intercept as 9x+3y=−2 is  y = - 2 / 7x - 2 / 3

The equation of a line can be represented as follows:

y = mx + b

where

Therefore, the equation of the line is perpendicular to  −7x+2y=3.

−7x+2y=3

2y = 7x + 3

y = 7 / 2 x + 3 / 2

Perpendicular lines follows the rule below:

m₁ m₂ = -1

7 / 2 m₂ = -1

7m₂ = -2

m₂ = - 2 / 7

Therefore, the equation of the line also haver the same y-intercept as

9x + 3y = −2.

3y = - 9x  - 2

y = -3x - 2  /3

The y-intercept of the equation is - 2 / 3.

Hence

the equation of the line is y = - 2 / 7x - 2 / 3

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Integer - 19 (1/8)inch board would be left after cutting from 34(1/4) inch board

What is an Integer ?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. When expressed in mathematical terms,

34 (1/4) inch board = 137/4 ----(1)

Cut piece = 14 3/4 = 59/4 ----(2)

saw cut 3/8 = 3/8 --------(3)

To calculate the board which is left after cutting will be

                                                          = 137 / 4 - 59 / 4 - 3/8

                                                          = 137 - 59 / 4 - 3 / 8

                                                          = 39 / 2 - 3 / 8

                                                          = 312 - 6 / 8

                                                          = 306 / 16

                                                          = 153 / 8

or,                                                       = 19 (1/8)inch

Hence, 19(1/8)inch board will be left after cutting

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The actual area of the park when a scale drawing of the park had a scale of 1 cm = 100 m is 4879m².

From the information, the scale drawing of a rectangur park had a scale of 1 cm = 100 m.

It should be noted that the dimensions are given as 4.1 cm and 11.9cm. The area of the scale will be:

= 4.1 × 11.9

= 48.79cm²

Therefore, the actual area of the park will be:

= 48.79 × 100

= 4879m²

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1km = 1000 m

12.03 km = 12.03 x 1000

12.03 km = 12030 m

1km = 100000 m

12.03 km = 12.03 x 100000

12.03 km = 1203000 cm

The values coming in the interval (-3,1] are -2, -1, 0, and 1.

The given interval notation is;

(-3,1], it is the case of half open half close.

-3 comes with the open interval, it means its value will not be included in the interval.

1 is with the closed interval, it means its value will be included in the interval.

Thus, the values lying between the interval (-3, 1] are  -2, -1, 0, and 1.

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The equation of the line will be equal to 3y = -x + 21.

A line may be defined as the straight figure drawn which has no end points. The equation of a line can be written in slope intercept form as y = mx + c where m is the slope of line, c is y intercept an x and y are independent and dependent variables. If a point (x₁, y₁) is given then equation of line is (y - y₁) = m (x - x₁). The slope of line which is perpendicular to a given line having slope m is equal to -1/m.

Now, equation of line is y = 3x + 3. If we compare with slope intercept form then, m = 3. Now, slope of line perpendicular to this line is equal to -1/3. Now, equation of line passing through point (-6, 9) is given as

(y - 9) = -1/3 (x + 6)

3y - 27 = -x - 6

=> 3y = -x + 21 which is the required equation of line.

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Answer:

See picture

Step-by-step explanation:

The probability that the sum of the number's digit is odd is 1/5.

Probability is used to determine how likely it is that a random event would happen.

An odd number is a number that is not perfectly divisible by 2. Examples of odd numbers include 1, 3, 5.

Sum of the number's digits:

1 + 0 = 1 (odd number)

1 + 7 = 8

1 + 9 = 10

2 + 2 = 4

2 + 4 = 6

2 + 8 = 10

3 + 2 = 5 (odd number)

3+ 9 = 12

4 + 2 = 6

4+ 4 = 8

4 + 4 = 8

4 + 6 = 10

5 + 1 = 6

5 + 4 = 9 (odd number)

5 + 7 = 12

6 + 0 = 6

6 + 4 = 10

6 + 6 = 12

7 + 1 = 8

7 + 4 = 11 (odd number)

7 + 7 = 14

7 + 9 = 16

8 + 4 = 12

9 + 3 = 12

9 + 7 = 16

9 + 8 = 17 (odd number)

The probability that the sum of the digits is odd = number of odd digits / total number

5 / 25 = 1/5

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By algebra properties, the rational expression [(- 2 / 3) · (- 5 / 7)] · (- 9 / 4) is equivalent to the following rational expression in simplest form: - 15 / 14.

In this problem we find a product of three rational numbers, which we must simplify by using algebra properties, especially those of related to rational numbers:

[(- 2 / 3) · (- 5 / 7)] · (- 9 / 4)                               Given

[(2 / 3) · (5 / 7)] · (- 9 / 4)                                   (- a) · (- b) = a · b

(10 / 21) · (- 9 / 4)                                              Multiplication of fractions

- [(10 / 21) · (9 / 4)]                                            (- a) · b = - a · b

- 90 / 84                                                          Multiplication of fractions

- 45 / 42                                                          Simplification of fractions

- 15 / 14                                                            Simplification of fraction / Result

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Answer:

200

Step-by-step explanation:

Multiplying by 5, we get 200 cars can be produced in 40 hours.

A) g(x)= (x-5)(x-9)

This is the answer because basically you need to find the roots of the function, since the function g intersects the x-axis at x=5 and x=9 you can conclude easily that those are the roots.

If:

x=5

g(5)=(5-5)(5-9)=0(-4)=0

and

If:

x=9

g(9)=(9-5)(9-9)=(4)(0)=0

Answer:

the answer has to be b

Step-by-step explanation:

The radius of sphere is r = 4 cm.

Substitute the value in the formula to determine the surface area of sphere.

So answer is S.A = 201.1

answer:

the y-intercept is 15 which is the initial total depth of the snow at t=0 hours.

The rate of melting is 1.5inches per hour. It will take 10 hours at the melting rate given of 1.5 to melt all the snow.

Step-by-step explanation:

the y-intercept is 15, and it might mean that the total depth of the snow is 15 inches.

The rate of melting is 1.5inches per hour.

At time = 0, S=15 - 1.5t = 15 - 1.5(0) = 15 inches to start

At time = 10, S=15 - 1.5t = 15 - 1.5(10) = 0 inches; meaning all snow has melted and it took 10 hours.

The first number is 8.33 percent more than the second number.

Let m be the first number, n be the second number and p be the third number.

Two numbers are respectively twenty percent and ten percent more than a third number.

m = (100 + 20)% of p

m = 120 percent of p

m = 120 % of p

m = (120 / 100) × p

m = 1.2 p

And the second number would be,

n = (100 + 10)% of p

n = 110 percent of p

n = (110 / 100) × p

n = 1.1 p

We need to find by how much number the first number more than the second.

Consider the difference,

1.2 p - 1.1p = 0.1 p

So the required percentage noting but the difference is what percent of the first number.

(0.1 p / 1.2 p) × 100 = 8.33%

Therefore, the first number is 8.33 percent more than the second number.

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Answer: See attached.

Step-by-step explanation:

       We can look at the values given in the equation to graph it.

➜ The -3 shows the line will intercept the y-axis at -3.

➜ The equation has a slope of -4, so for everyone right we move four down.

Solution:

Given:

This is an arithmetic sequence because it has a common difference.

From the nth term of an arithmetic sequence,

The sum of an arithmetic sequence is given by;

herefore, the sum oft the sequence is 1968