Create a problem that could be solved by multiplying (−3) × (−6).

1) Let's do it this way in parts. The first one is to add the whole numbers separately:

2) Note that the fractions do not have the same bottom number, so let's take the LCM(3,2) = 6 and then multiply each fraction by the LCM:

So, Ali takes 7 5/6 hours

The answer of the given question based on the percent is , 20.49 trillion is about 52.84% larger than 13.4 trillion.

Percentage is a way of expressing a quantity or value as a fraction of 100. It is a widely used method for describing proportions, rates, changes, and comparisons in various fields such as mathematics, economics, statistics, science, and everyday life. The term "percent" literally means "per hundred", and it is represented by the symbol "%". To convert a number to a percentage, we multiply it by 100 and add the symbol "%".

To find the percent larger that 20.49 trillion is to 13.4 trillion, we can use the following formula:

Percent change = (New value -Old value) /Old value * 100%

Plugging in the values we have:

Percent change = (20.49 trillion - 13.4 trillion) / 13.4 trillion * 100%

= 7.09 trillion / 13.4 trillion * 100%

= 52.84%

Therefore, 20.49 trillion is about 52.84% larger than 13.4 trillion.

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Questions:

1. 6 is not more than z.

2. The value of w is at least 12

3. Josiah plans to complete his 50 minutes of Mappers practice in 5 days and split the practice up evenly. Which inequality can he use to decide how many minutes he must complete each day?

4. Amy has $35.75 for her visit to the zoo. She must pay $7.25 for admission and wants to feed as many animals as she can. Food for the animals costs $1.25 each. What inequality represents the largest number of animal food that Amy can buy?

5. Jacob spent $40 on supplies to make 100 shirts for a baseball team fundraiser. Solve the inequality to help him decode how much to charge for each shirt to make a profit of more than $350.

100t-40 is greater than 350

Answers:

1. 6 is less than or equal to z (2nd option)

2. w is greater than or equal to 12 (1st option)

3. 5x is greater than or equal to 50 (1st option)

4. 1.25x + 7.25 is less than or equal to 35.75 (4th option)

5. t is great than 39 (3rd option)

Answer:

7+3.75i

Step-by-step explanation:

Answer:

It's a complex and imaginary number

Step-by-step explanation:

Because complex numbers always appear in the form (a + bi)

Answer:

48/60=24/30=15/12=4/5 or 4:5

So your final answer is 4/5 or 4:5

Step-by-step explanation:

Using simple interest, the amounts she invested are given as follows:

Simple interest is used when there is a single compounding per time period, usually measured in years.

The amount of money after t periods in is modeled by:

A(t) = P(1 + rt)

The interest accrued after t periods is modeled by:

I(t) = Prt

In which:

She had two investments, investing a total of $4500, hence:

\(P_1 + P_2 = 4500\)

The return for the 9% investment exceeds that from the 6% investment by $180, hence:

Then:

\(I_2 = 0.06(4500 - P_1)\)

\(I_1 - 180 = 0.06(4500 - P_1)\)

\(0.09P_1 - 180 = 0.06(4500 - P_1)\)

\(0.15P_1 = 450\)

\(P_1 = \frac{450}{0.15}\)

\(P_1 = 3000\)

Which is the amount invested at 9%, hence the amount invested at 6%, considering that a total of $4,500 was invested, is given by:

4500 - 3000 = $1,500.

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By answering the presented question, we may conclude that Sales Rep: expression This entity maintains information about sales reps such as SalesRepID and SalesRepName.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematic, and form. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

The ER diagram above depicts the database entities and their connections. Here's a quick rundown of each entity and its characteristics:

Employee: This object contains information on employees such as EmployeeID, Name, DateOfBirth, and Dependents.

ProductID, ProductName, ManufacturingDate, ExpiryDate, and SupplierID are all stored in this object.

Supplier: This entity holds supplier-specific information such as SupplierID, SupplierName, ContactPerson, and ContactNumber.

CustomerID, CustomerName, ContactPerson, and ContactNumber are all stored in the Customer entity.

Sales Rep: This entity maintains information about sales reps such as SalesRepID and SalesRepName.

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Answer:

√52

Step-by-step explanation:

6^2 = 36

4^2 = 16

   a.       b

√36 + √16 = c

c = √52

Step-by-step explanation:

2

\(2 \sqrt{13 } \)

Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

The total height of the three jumps is A = 20.744 feet

Given data ,

1st high jump score: 7.016 feet

2nd high jump score: 5.42 feet

3rd high jump score: 8.308 feet

On adding the scores , we get

7.016 + 5.42 + 8.308 = 20.744 feet

On simplifying the equation , we get

A = 20.744 feet

Hence , Oliver jumped a total of 20.744 feet in the three high jumps

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4. -17/3

5. -20

6. 10

7. -14

8. -11

9. -25

10. -30

11. -25

12. 22

13. 14

14. -15

15. -10

Answer:

x=0,-3

Step-by-step explanation:

x(x+3)(x+3)=0

Using the zero product property

x=0  x+3=0 x+3 =0

x=0  x=-3  x=-3

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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The width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.

An area is a unit of measurement used to describe the size of a region on a planar or curved surface. While a plane region or area refers to the area of a shape or planar lamina, a surface region or plane area refers to the area of an open surface or the boundary of a three-dimensional object.

Given:

The initial length of the image, l = 6 inches,

The initial width of the image, w = 4 inches,

The reduced length of the image, L = 4 inches,

The area of the initial image = The area of the reduced image,

l × w = L × W

Here W is the reduced width.

Substitute the values,

6 × 4 = 4 × W

W = 6 inches,

Therefore, the width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.

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The monthly Payment of a 2-year loan of $1590 with 9% interest that needs to be repaid in 254 equal monthly installments is approximately $11.92.

The monthly payment of a 2-year loan of $1590 with 9% interest which needs to be repaid in 254 equal monthly installments, we need to use the loan repayment formula. The formula is given as:

Monthly Payment = (Loan Amount x Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Here,

Loan Amount = $1590

Interest Rate = 9% per annum

Time = 2 years = 24 months

number of Months = 254 (as there are 254 monthly installments)

First, we need to calculate the Monthly Interest Rate using the following formula:

Monthly Interest Rate = Annual Interest Rate / 12

The Annual Interest Rate is 9%,

so the Monthly Interest Rate is:  Monthly Interest Rate = 9 / 12 = 0.75%Putting the given values into the loan repayment formula,

we get: Monthly Payment = (1590 x 0.0075) / (1 - (1 + 0.0075)^(-254))= 11.92 (approx)

Therefore, the monthly payment of a 2-year loan of $1590 with 9% interest that needs to be repaid in 254 equal monthly installments is approximately $11.92.

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Answer:

x=1.57 and x=-0.77

Step-by-step explanation:

5x^2-4x-6=0

using -b±√b^2-4ac/2a

where a=5,b=-4,c=-6

abd substitute it into the equation

Answer: Vertex:

(

(

2

,

3

)

)

f

(

x

)

-intercept:

15

x

-intercepts: (no Real intercepts); Complex intercepts

2

±

i

Explanation:

To find the vertex convert the given equation into vertex form.

f

(

x

)

=

3

x

2

−

12

x

+

15

XXX

f

(

x

)

=

3

(

x

2

−

4

x

)

+

15

XXX

f

(

x

)

=

3

(

x

2

−

4

x

+

4

)

+

15

−

3

×

4

XXX

f

(

x

)

=

3

(

x

−

2

)

2

+

3

which is the vertex form for a parabola with vertex at

(

2

,

3

)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The

f

(

x

)

-intercept is the value of

f

(

x

)

when

x

=

0

Using the original form of the equation we can see that

XXX

f

(

x

)

=

15

when

x

=

0

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The

x

-intercept(s) is/are the value of

x

when

f

(

x

)

=

0

.

Using the vertex form we derived

XXX

0

=

3

(

x

−

2

)

2

+

3

XXX

→

(

x

−

2

)

2

+

1

=

0

XXX

→

(

x

−

2

)

2

=

−

1

Since the square of any Real number is greater than or equal to zero

we can see that this equation has no Real solutions.

However if Complex solutions are permitted

XXX

x

−

2

=

±

√

−

1

=

±

i

XXX

→

x

=

2

±

i

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Step-by-step explanation:

Answer:

x = 1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

x + 18/4 = 5

Step 2: Solve for x

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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The common factor is x ^ 3

So that gives you x ^ 3 = (4+ 7  / x + 4 / x ^ 2 + 7 / x ^ 3)

Because we therefore simplify x ^ 3 = (4 + (7x ^ 2 / x ^ 3) + (4x / x ^ 3) + 7 / x ^ 3)

Answer:

The percentage of beads on clearance that are plastic is 90%

Step-by-step explanation:

9/10 = 90/100

The answer has to be out of 100. So, you would multiply 9 times 10 to get 90 and 10 times 10 to get 100

90/100 = 90%

Hope this helps :)

For the given figure,   x = 23°  and      y = 129°

Parallel lines:

                        Parallel lines are lines that always stay the same distance apart and never meet.

Transversal line :

                             A transversal is a line that crosses two or more other lines.

given,

     ∠TLN = (3x - 18)°

    ∠MZQ = (5x + 14)°

    ∠NLM = y°

Now,

         ∠MZP + ∠MZQ = 180°  (Linear Pair)

        ∠MZP  = 180° - ∠MZQ  ...........(I)

again,

          ∠NLM + ∠TLN  =180°  ...........(II)      (Linear Pair)

  As,         ∠TLN = ∠MZP  (Corresponding Angle)

             (3x - 18)° =  180° - ∠MZQ  

           (3x - 18)° = 180° - (5x + 14)°

         3x + 5x  = 180° - 14° + 18°

           8x = 184°

           x = 184 / 8

          x = 23°

      From (II),

      ∠NLM + ∠TLN  =180°

    y° + 3x - 18° = 180°

 y = 180 - 3x + 18

     = 180 - 3* 23 + 18

      = 180 - 69 +18

     y = 129°

For the given figure,

                                     x = 23°  and      y = 129°

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