What is 12 divided by 9.6

The correct expressions are as follows:

[tex]7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}[/tex] Equivalent [tex]343[/tex]

[tex]7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}[/tex] Not Equivalent [tex]49[/tex]

[tex]7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}[/tex] Equivalent [tex]7^{\frac{1}{5}} \cdot 7^{\frac{14}{5}}[/tex]

[tex]7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}[/tex] Not Equivalent [tex]49^{\frac{2}{10}} \cdot 7^{\frac{1}{5}}[/tex]

[tex]\texttt{ }[/tex]

Let's recall following formula about Exponents and Surds:

[tex]\boxed { \sqrt { x } = x ^ { \frac{1}{2} } }[/tex]

[tex]\boxed { (a ^ b) ^ c = a ^ { b . c } } [/tex]

[tex]\boxed {a ^ b \div a ^ c = a ^ { b - c } }[/tex]

[tex]\boxed {\log a + \log b = \log (a \times b) }[/tex]

[tex]\boxed {\log a - \log b = \log (a \div b) }[/tex]

Let us tackle the problem!

[tex]\texttt{ }[/tex]

[tex]7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{1}{5}} \cdot (7^2)^{\frac{7}{5}}[/tex]

[tex]7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{1}{5}} \cdot (7)^{2\times \frac{7}{5}}[/tex]

[tex]7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = \boxed{7^{\frac{1}{5}} \cdot 7^{\frac{14}{5}}}[/tex]

[tex]7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{1}{5} + \frac{14}{5}}[/tex]

[tex]7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{15}{5}}[/tex]

[tex]7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{3}[/tex]

[tex]7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = \boxed{343}[/tex]

[tex]\texttt{ }[/tex]

From the results above, it can be concluded that the correct statements are:

[tex]7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}[/tex] Equivalent [tex]343[/tex]

[tex]7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}[/tex] Not Equivalent [tex]49[/tex]

[tex]7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}[/tex] Equivalent [tex]7^{\frac{1}{5}} \cdot 7^{\frac{14}{5}}[/tex]

[tex]7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}[/tex] Not Equivalent [tex]49^{\frac{2}{10}} \cdot 7^{\frac{1}{5}}[/tex]

[tex]\texttt{ }[/tex]

Grade: High School

Subject: Mathematics

Chapter: Exponents and Surds

Keywords: Power , Multiplication , Division , Exponent , Surd , Negative , Postive , Value , Equivalent , Perfect , Square , Factor.

Answer:

equivalent

not equivalent

equivalent

not equivalent

-step explanation:

 (x - 4)(x - 3) + (2 - x)(x - 1)

= x² - 3x - 4x + 12 + 2x - 2 - x² + x

= x² - x²     -3x - 4x + 2x + x     +12 - 2  

=     0                   -4x                    +10

Answer: -4x + 10

12.8 * 1.35 =17.28

Therefore Marissa spent $17.28 on potatoes.

Hope you have a good day!!! Cant wait until friday lol

She spent 17.28$, all you have to do is 12.8 x 1.35 = 17.28, hope this helps :D

Correct answer is option(2).

Isaac can add the ordered pair (1, 3) to the set to keep it a function.

A function is a relation where each input (or domain element) is associated with exactly one output (or range element).

This means that in the set of ordered pairs representing a function, no two pairs can have the same first element (input) but different second elements (outputs).

Given the function defined as : {(0,1),(2,3),(5,8),(7,2)},

we need to add one more ordered pair without violating the property that each input maps to exactly one output.

Let's examine each option:

1.) (0, 2) : This pair has the same first element as (0, 1). Adding (0, 2) would imply that the input 0 maps to both 1 and 2, which is not allowed in a function because each input must map to exactly one output.

2.) (1, 3) : This pair has a first element of 1, which is not present in the original set of ordered pairs. Therefore, adding (1, 3) does not create any conflicts. The input 1 is not repeated, so each input still maps to exactly one output. This maintains the function property.

3.) (5, 3) : This pair has the same first element as (5, 8). Adding (5, 3) would imply that the input 5 maps to both 8 and 3, which violates the definition of a function.

4.) (7, 0) : This pair has the same first element as (7, 2). Adding (7, 0) would imply that the input 7 maps to both 2 and 0, which also violates the definition of a function.

Therfore , Only the pair (1,3) can be added to the set without violating the function property. This pair introduces a new input that does not conflict with the existing inputs in the set.

x+9=18+-2x

divide 2x from both sides

which makes it 3x+9=18

subtract 9 from the 18

which is 3x=9

divide 3 from both sides

which gives you x=3

x+9=18+(-2x) add the 2x to the x and you should get 3x+9=18. Then you would subtract the 9 from the 18 and should get 3x=9. Then just divide the 9 by the 3 and get x=3 which is your answer. Hope this helps!

You can draw a triangle or a quadrilateral since they have at least three angles. For the second part, any angle can be named with three letters. After naming each corner/angle of the figure, name an angle so that the actual angle letter is the middle letter, surrounded by the letters of the corners that is just next to it.

There are Infinite number of figure , that contains at least three angles and requires three letters to name each angle

1.Any of the Triangle, either Acute, Obtuse, Right, Scalene, Isosceles, or Equilateral.

2. Any of the Quadrilateral, Parallelogram,Rectangle, Square, Trapezoid, and Kite.

→Or In General

Any of the Polygon whether it is Regular or Irregular.

→Because, A polygon is defined as ,a simple closed figure made up of three or more line segment.

To convert 1.8499 × 10^9 by moving the decimal nine places to the right, you get 1,849,900,000. This is achieved by shifting the decimal point and adding zeros as needed.

To move the decimal nine places to the right for the number 1.8499 × 10^9, you follow these steps:

Thus, 1.8499 × 10^9 in standard notation becomes 1,849,900,000.

length times width............

given 4y = 2x - 10 and y = 6, then

2x - 10 = 24 ( add 10 to both sides )

2x = 34 ( divide both sides by 2 )

x = [tex]\frac{34}{2}[/tex] = 17

This is fast and easy, hope this helps :)

The quotient of 4 divided by 28 is 0.142857.

To perform long division for 4 divided by 28, follow these steps:

1. Write 4 as the dividend and 28 as the divisor.

        ___

28 | 4

2. Determine how many times 28 can be divided into 4 without exceeding it. In this case, 28 cannot be divided into 4, so we write 0 above the division line.

        0

        ___

28 | 4

3. Multiply the divisor (28) by the quotient (0), and write the product below the dividend.

        0

        ___

28 | 4

        0

4. Subtract the product from the dividend. In this case, 4 minus 0 is 4.

        0

        ___

28 | 4

        0

       ----

        4

5. Bring down the next digit from the dividend, which is 0.

        0

        ___

28 | 4

        0

       ----

        40

6. In this case, 28 can be divided into 40 once, so we write 1 above the division line.

        01

        ___

28 | 4

        0

       ----

        40

7. Multiply the divisor (28) by the quotient (1), and write the product below the 40.

        01

        ___

28 | 4

        0

       ----

        40

       28

8. Subtract the product (28) from the 40.

        01

        ___

28 | 4

        0

       ----

        40

       28

       ----

        12

9. The final quotient is 0.142857.

Therefore, 4 divided by 28 equals 0.142857.

Learn more about Long Division here:

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To answer this question, we know that 1km equals 1000m

and 1 hour is equal to 60 minutes. In the same way 1 minute equals 60 sec onds

So we have to change the units of elephant speed to km per hour.

For this we do the following procedure:

1) we multiply 6.9 m / s by the conversion factor from meters to kilometers (1 km / 1000m)

[tex]6.9 \frac{m}{s} *\frac{1 km}{1000 m}=0.0069\frac{km}{s} \\[/tex]

2) The result obtained is multiplied by the conversion factor from seconds to minutes (60s / 1min)

[tex]0.0069 \frac{km}{s} *\frac{60 s}{1 min}=0.414 \frac{km}{min}\\[/tex]

3) The result obtained is multiplied by the conversion factor from minutes to hours (60min / 1hr)

[tex]0.414\frac{km}{min}*\frac{60 min}{1 h}= 24.84\frac{km}{h} \\[/tex]

The answer is 24.84 km / h

 You can skip step 2) multiplying 0.0069 km / s by the conversion factor from seconds to hours (3600 s / 1h)

1: Thirty subtracted from four times a number is greater than the opposite of ten.

Let the number be x, so equation becomes : [tex]30-4x>-10[/tex]

2: Given equation is  [tex]27-2b\leq-6[/tex] this states that the result of 27-2b is less than equal to opposite of six.

24 cans in total is your answer

6 times 4

6 · 4 = 24

24 cans in total

[tex]|x-2|-5 <-2 \\\\|x-2|<3\\\\x-2<3 \wedge x-2>-3\\\\x<5 \wedge x>-1\\\\x\in(-1,5)[/tex]

Jordan and Sharla are saving money to go on a study abroad trip. They must provide a down payment of $650 to sign up for the trip, and they can pay the remaining balance later. Jordan raises money by mowing lawns in his neighborhood and charges $25 per lawn. Sharla raises money by selling handmade necklaces for $15 each. Sharla raises less money than Jordan does because Sharla 3. only has enough materials to make 40 necklaces. (A) write two constraints to model the problem. Let x represent the number of lawns Jordan mows and y represent the number of necklaces Sharla sells. (B) can Sharla afford the down payment with the money she earns selling her necklaces? Explain your answer    

this is the wrong subject

A) 25x+15y=650

25x+15(40)=650

Or it could be 25x=650 and 15y=650

B) No because she makes $15 for every necklace which she only has 40 necklaces 15x40=600

To expand and simplify the expression (3x-1)(2x+5), use the distributive property of multiplication over addition/subtraction. Multiply each term in the first parentheses with each term in the second parentheses, and then combine like terms to simplify the expression. The result is 6x^2 + 13x - 5.

To expand and simplify the expression (3x-1)(2x+5), you can use the distributive property of multiplication over addition/subtraction. Start by multiplying the first term in the first parentheses with each term in the second parentheses, and then do the same for the second term in the first parentheses. Finally, combine like terms to simplify the expression.

Step-by-step:

Therefore, the expanded and simplified form of (3x-1)(2x+5) is 6x^2 + 13x - 5.

To round 39,189 to the nearest thousand, we need to look at the digit in the hundreds place. If the digit in the hundreds place is 5 or greater, we round up, if it is less than 5, we round down. In this case, 1 is less than 5, so we round 39,189 down to 39,000.

To round 39,189 to the nearest thousand, we need to look at the digit in the hundreds place. In this case, it is 1. If the digit in the hundreds place is 5 or greater, we round up to the next thousand. If it is less than 5, we round down to the current thousand. Since 1 is less than 5, we round 39,189 down to 39,000.

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Final answer:

The statement that the sum of two linear expressions is always a linear expression is correct, due to properties such as additivity and commutativity. Adding like terms and constants of two linear expressions together will yield another linear expression. This principle applies to linear equations and functions as well.

Explanation:

Your friend's assertion that the sum of two linear expressions is always a linear expression is correct. A linear expression is generally of the form αx + β, where α and β are constants and x is the variable. When adding two linear expressions, say αx + β and γx + δ, the result is (α+γ)x + (β+δ), which is also a linear expression. This is due to the additive property, which states that like terms can be added and constants can be added separately. Also, considering the commutative property of addition, which implies A+B = B+A, we can see that the order of addition does not affect the linearity of the expression.

Examples or specific cases also illustrate this concept. For instance, if one linear expression is 3x + 2 and the other is 5x + 4, adding them together yields (3+5)x + (2+4), which simplifies to 8x + 6, clearly a linear expression. The linear nature of the sum is further illuminated by considering functions or equations that involve only constants. If one function equals a constant and another equals a constant, their sum is also constant, preserving linearity.

In the context of linear differential equations, the principle that linear combinations of solutions are also solutions applies. This means that if we have two functions that are solutions to a linear differential equation, their sum (a linear combination) will also be a solution to the same linear differential equation. This indicates that linearity is preserved when combining linear items, whether they are expressions, functions, or equations.

Answer:

The answer is 4) A unit rate always relates quantities with the same units.

Step-by-step explanation:

It cannot be 1 because a unit rate relates a quantity to 1. Hence the word unit which means single or undivided whole.

It cannot be 2 because you can indeed use unit rates to compare two rates. In fact we do all the time in math! Just like comparing fractions.

It cannot be 3 because the rate has to be equivalent to its unit rate or else its wrong.

Thus making it four!

Hope this helped! If it did please consider marking this as brainliest! :)

Option D is not true about unit rates.

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the answer is a add -19w and dont forget to do it on each side

You should put brainliest to the other person that answered this question.

Product is multiplication.

Let the number = x

3 *( X+7) = -36

Use distributive property:

3x +21 = -36

Subtract 21 from each side:

3x = -57

Divide both sides by 3:

x = -57 /3

x = -19

Check: 3 * (-19 +7) = 3 * -12 = -36

The number is -19

(a) Lily: 5 * 2 - 12 + 3 = 1 pt

(b) Rose: -3 * 2 -1 + 6 + 7 = 6 pts

(c) Rose

The answer would be 108 because you multiply the 9 and the 12 together and get 108. I hope this helps.

Multiply the original price by .25, then subtract that answer from the original price.

Hope I could help! :)

Given that a student works no more than 25 hours per week, and that work is performed every day of a 7-day week, the maximum number of hours they can work per day is approximately 3.57, making it fair to say they can work up to 3 hours each day. This scenario can be represented by the inequality h ≤ 3.

To answer your question, we need to find an inequality that represents how many hours the student can work each day given they work no more than 25 hours every week.
If we assume a typical week encompasses 7 days, and the student works every day of the week, then we should distribute the maximum hours worked per week over these seven days.
This results in 25 hours ÷ 7 days ≈ 3.57 hours/day. However, since you can't work a fraction of an hour, the student can work up to 3 hours a day.
The inequality representing this scenario would be h ≤ 3, where 'h' represents the number of hours the student can work each day.

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The answer would be -30.75 hope this helps !!

Answer:

Diameter of circle while measuring vertically=3.5 cm

Diameter of circle while measuring Horizontally=3.6 cm

As you have not written by which instrument from geometry box you have measured the length of diameter.

1. By Scale i.e ruler 2. By Divider  Or 3. By mere Observation i.e by comparing length

1.If you have done measurement by simply observation there are maximum possibility of having error.  

2. Then if you have measured these lengths by scale or ruler there is very less chances of getting error in measurement of length because sometimes divison in scale varies i.e if a point lies between 4.5 to 4.6 we can't say exactly whether it is 4.5 or 4.6.

3. So it is better to compare line segments by Divider.There is no chances of getting error.

Most probably you have measured Diameter by ruler, Due to that you have faced the problem.  

Answer:

The possible reasons are shown below:

Step-by-step explanation:

Consider the provided information.

lin measured the diameter of a circle in two different directions. Measuring vertically, she got 3.5 cm, and measuring horizontally, she got 3.6 cm.

The diameters of a circle should have the same length, If the length are not same then the reasons can be:

No equation is given .