5. Which of the following is a rational number that can be written as a decimal in which one or more nonzero digits repeat? ​

The baker can put all the 576 muffins in the box that contains exactly 9 muffins with none left over.

In order to determine if the baker can put all the 576 muffins in the box that contains exactly 9 muffins with none left over, divide 576 by 9. If 9 perfectly divides 576, then there would be no remainder.

Division is the process in mathematics that is used to group a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations. Other operations in mathematics are addition, subtraction and multiplication.

Number of boxes needed = number of muffins / capacity of each box

576 / 9 = 64

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Answer:

21 Degrees.

Step-by-step explanation:

It was 22 degrees by noon, by then the temperature had already risen by
eight degrees, but since we are going back in time, we would subtract the eight degrees.

22 - 8 = 14.

Now we are at 9 A.M, it is 14 degrees. But, the temperature had doubled from 5-9 A.M, so we would divide our fourteen by two in order to half it.

14 ÷ 2 = 7.

Now we are at 5 A.M.

From midnight to 5 A.M the temperature dropped fourteen degrees so we would add that fourteen back into the equation.

7 + 14 = 21.

Hope this helped!!

Answer: Around 141 guests can be invited

Explanation: 423 divided by 3/4 is 141, and 141 x 3/4 is 423

If Gabriella has 3 more nickels than dimes and they have a combined value of 90 cents, The number of coin she have is; 4 nickels and 7 dimes.

x =  number of nickels that Gabriella has

x +3 =number of dimes that Gabriella

Hence,

0.05x  + 0.10 ( x + 3 ) = 0.9

Solving for x

Multiply both sides of the equation by 100 so as to eliminate two  decimal places

5x + 10x + 30 = 90

Collect like terms

15x  = 60

Divide both side by 15x

x = 60/15

x = 4 nickels

So,

x + 3 where x = 4

4 + 3 =7 dimes

Therefore she has 4 nickels and  7 dimes.

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The translation of the phrase into an algebraic expression which is the sum of 6 and b is 6+b.

It should be noted that an algebraic expression is used in Mathematics to show the relationship between the terms that are given. The concept of utilizing letters or alphabets to convey numbers without defining their exact values is known as algebraic expressions.

We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

In this case, we want to translate the phrase into an algebraic expression. The phrase is the sum of 6 and b. This will simply be:

= 6 + b

Therefore, the expression is 6+b.

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The final expression that represent the total owed is 3c  + 25

He owed 3 months cable at a price of c dollars for each month, plus a one-time equipment fee of $25,

Therefore, the situation can be expressed as follows:

For a single month he pays c dollars

Hence, 3 month will be 3 × c.

Recall he also needs to pay a one time fees of 25 dollar.

Therefore, the final expression that represent the total owed is as follows:

total owed  =  3c  + 25

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Answer:

33

Step-by-step explanation:

Answer:

It is a function because circles are functions

Step-by-step explanation:

the formula for a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h,k) = center

r=radius

radius is 4 because diameter is 8

Center is (2,1)

plug it into the equation:

[tex](x-2)^2+(y-1)^2=16[/tex]

Answer:

Step-by-step explanation:

it should be 180

9 1/4 to 9

20 stays the same

The domain and range are the set of all real numbers, so:

Domain: x ∈ R

Range: x ∈ R

Thus, the correct option is  the second one

For any function y = f(x), we define the domain as the set of the possible values of x (the ones on the horizontal axis) and the range is the set of the possible values of y (vertical axis).

In this case, we have a linear equation (you can see that the lines extend to the bottom left and the top right)

So both domain and range are the sets of all real numbers.

Thus, the correct option is  the second one.

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Answer:

Rounds down to 7000.

Step-by-step explanation:

After solving some mathematical operations we can conclude that the cashier has 16 bills of $10 and 18 bills of $20.

So, the total value of money by 35 bills is $0, and $20 is $520.

Therefore, after solving some mathematical operations we can conclude that the cashier has 16 bills of $10 and 18 bills of $20.

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Answer: $24.85

Step-by-step explanation:

10.95+14.20= 25.15

25.15+24.85= 50

Answer:

24.35

Step-by-step explanation:

Add 10.95 to 14.20:

10.95+14.20=25.15

Then subtract the answer 25.15 from 50

50-25.15=24.35

To determine the missing number:

collect like terms

Therefore the missing number = -1

14/4 = ?

There are 4x5 = 20 squares

Then 14/4 = 3 + 2/4

also 14/4 = 70/20 = 7/2

Take 14 squares, from figure

Now graph portion shade

The  volume of the cube is  2744 cm³.

There are different quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example,  in a square all angles are 90° and all sides present the same value.

A square is a 2D figure, when the square is associated a 3D figure, the figure is called a cube. The cube presents 6 faces with length (l) , height (h) and width (w) equal. Thus, the cube presents congruent edges.

The volume is given from the formula V=a³, where a is a congruent edge.

The question gives:

Therefore,

V=a³

V=14³

V=14*14*14

V=2744 cm³

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Answer:

10 cups

Step-by-step explanation:

6 divided by 4 is 1.5 and if you take 15 divided by 1.5 it'd be 10

Answer:

10 cups of sugar

Step-by-step explanation:

you can easily make it into a ratio.... ( the amountof sugar needed to make 15 batches of cookies is x)

x/15 = 4/6

when you multiply you get 6x = 4 × 15

6x = 60, then you divide by 6

giving you x=10

m = 15/8 and yes it dep

Here, we want to find the slope from the given table

Mathematically, that could be calculated using the formula;

Now, we want to find out if it differs if we use any other random two points

Let us select the 1st and the 3rd point

Mathematically, the slope here would be;

From these, we can see that the value of the slope obtained depends on the two points that are selected

Answer: $108

Step-by-step explation:

Answer:

the answer is -5.0

Step-by-step explanation:

Tom subtracted -1.1 from -3.9 instead of adding them together

The two approximations of the region's area between the graph of the function and the x-axis over the given interval are 14.31 < AREA < 17.01

We have :
f(x) = 9 -x [ 2, 4 ], 6 rectangles.

Here, a = 2 and b = 4 , n = 6

The width of the rectangles will be

x' = [tex]\frac{b-a}{n}[/tex]

x' = [tex]\frac{4-2}{6} = \frac{2}{6} = \frac{1}{3} = 0.33[/tex]

Now, The given function is f(x) = 9 -x

[tex]f(x_{i}) = x_{i} - 9[/tex]

For [tex]x_{0} = 0[/tex], [tex]f(x_{0} ) = 9[/tex]

For  [tex]x_{1} = 0.3[/tex], [tex]f(x_{1} ) = 9 -0.3 = 8.7[/tex]

For [tex]x_{2} = 0.6[/tex], [tex]f(x_{2} ) = 9 -0.6 = 8.4[/tex]

For [tex]x_{3} = 0.9[/tex], [tex]f(x_{3} ) = 9 -0.9 = 8.1[/tex]

For [tex]x_{4} = 1.2[/tex], [tex]f(x_{4} ) = 9 -1.2 = 7.8[/tex]

For [tex]x_{5} = 1.5[/tex], [tex]f(x_{3} ) = 9 -1.5 = 7.5[/tex]

For [tex]x_{6} = 2.1[/tex], [tex]f(x_{3} ) = 9 -2.1 = 7.2[/tex]

Now, The area by using an approximation using 6 approximating rectangles and right endpoints is given by.

A = Sum of [tex]f_{i}x'[/tex] = [tex](f_{1} + f_{2} + f_{3} + f_{4} + f_{5} + f_{6})x'\\[/tex]

A = (8.7 + 8.4 + 8.1 + 7.8 + 7.5 + 7.2)*0.3

A = 47.7*0.3 = 14.31

The area by using an approximation using 6 approximating rectangles and left endpoints is given by:

A = Sum of [tex]f_{i}x'[/tex] = [tex](f_{0} + f_{1} + f_{2} + f_{3} + f_{4} + f_{5} + f_{6} } )x'\\[/tex]

A = (9+8.7 + 8.4 + 8.1 + 7.8 + 7.5 + 7.2)*0.3

A = 17.01

Thus  14.31 < AREA < 17.01

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The answer of (7 ×5) ×2 using associative property is 70.

What is associative property?

(a ×b) ×c = a ×(b ×c) and (a+b)+c = a+(b+c)

Addition and multiplication are supported by the associative property but not division and subtraction.

Using associative property ,

(7 ×5) ×2 = 7×(5 ×2)

(7 ×5) ×2  =  7×10

(7 ×5) ×2  =  70

Therefore, the answer of (7 ×5) ×2 using associative property is 70.

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Answer:

(3, 0)

Step-by-step explanation:

I assume this means a clockwise rotation.

let's think this through logically :

the last option (0, 3) cannot be right, because that is F before the rotation. to go back to the original position requires a full rotation of 360° (remember, a circle has 360°, and that means to travel one complete time around the circle).

(0, -3) cannot be right, because this is just mirrored down, and would represent a turn of 180° (a half-circle).

for the other options imagine you use a math compass, put the pin on the origin, and the writing arm on F. and the you draw a circle through F.

(3, 0) is the result of the clockwise (right) turn of 90°, (-3, 0) would be the result of a counterclockwise (left) turn of 90°.

so, if my assumption above is incorrect, please pick (-3, 0) for the counterclockwise solution.

The quotient of 581 and 14 has a value of 40.07

The quotient expression is given as

581/14

Next, we express 581 as the sum of a multiple of 14 and another number

Say 581 = 280 + 280 + 1

So, we have the following equation

581/14 = (280 + 280 + 1)/14

Expand the bracket

So, we have the following equation

581/14 = 280/14 + 280/14 + 1/14

Evaluate the quotients

581/14 = 20 + 20 + 0.07

Evaluate the sum

581/14 = 40.07

Hence, the value of the quotient expression is 40.07

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Graph (D) shows a complex number with an imaginary component, i.

So, we are aware that a complex number is shown as:

Where x stands for a number's real value and y for a number's imaginary value.

As a result, the number I is written as:

This indicates that the symbol for the number I is a point (0,1).

Therefore, graph (D) shows a complex number with an imaginary component, i.

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The complete question is given below:

Which graph depicts a complex number with i as the imaginary part?

Simplify the integrand.

[tex]\displaystyle \frac{x^3-x^2-1}{x^2-x-1} = x + \frac{x-1}{x^2-x-1}[/tex]

Expand into partial fractions, recalling that [tex]\phi[/tex] and [tex]-\frac1\phi[/tex] are roots to the quadratic in the denominator.

[tex]\dfrac{x-1}{(x - \phi) \left(x + \frac1\phi\right)} = \dfrac1{1+\phi^2} \left(\dfrac1{x-\phi} + \dfrac{\phi^2}{x + \dfrac1\phi}\right)[/tex]

Then the integral is

[tex]\displaystyle I = \int_0^1 \frac{x^3-x^2-1}{x^2-x-1} \, dx \\\\ ~~~~ = \int_0^1 x \, dx + \frac1{1+\phi^2} \int_0^1 \left(\frac1{x-\phi} + \frac{\phi^2}{x+\frac1\phi}\right) \, dx \\\\ ~~~~ = \frac12 + \frac{1}{1+\phi^2} \left(\ln|1-\phi| + \phi^2 \ln\left|1 + \frac1\phi\right| - \ln|-\phi| - \phi^2 \ln\left|\frac1\phi\right|\right)[/tex]

and this reduces significantly, when we recall that [tex]\phi = 1 + \frac1\phi[/tex], to

[tex]\displaystyle I = \boxed{\frac12 + \frac{2\phi}{1 + \phi^2} \ln(\phi)}[/tex]

Applying the Chain Rule, the derivatives are given as follows:

The function Z is defined as follows:

z = x^7y^7.

The variables x and y are functions of variables s and t, as follows:

Hence the derivative of z as a function of s is given as follows:

∂z/∂s = (dz/dx)(dx/ds) + (dz/dy)(dy/ds).

Hence, applying the derivative rules for the exponents, and for the exponents, we have that:

[tex]\frac{\partial z}{\partial s} = 7x^6y^7\cos{(t)} + 7y^6x^7\sin{(t)} = 7x^6y^6(y\cos{t} + x\sin{t})[/tex]

Replacing the values of x and y, we have that:

[tex]\frac{\partial z}{\partial s} = 7(s\cos{t})^6(s\sin(t))^6(y\cos{t} + x\sin{t})[/tex]

We follow the same logic as above, only that now the inside derivatives, that is, the derivatives of x and y, are as function of t and not of s, hence:

∂z/∂t = (dz/dx)(dx/dt) + (dz/dy)(dy/dt).

Then:

[tex]\frac{\partial z}{\partial t} = -7x^6y^7s\sin{(t)} + 7y^6x^7s\cos{(t)} = 7sx^6y^6(-y\sin{t} + x\cos{t})[/tex]

Then, replacing x and y as functions of s and t, we have that:

[tex]\frac{\partial z}{\partial t} = -7x^6y^7s\sin{(t)} + 7y^6x^7s\cos{(t)} = 7s(s\cos{t})^6(s\sin{t})^6(-y\sin{t} + x\cos{t})[/tex]

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Answer:

The value of x is 3 cm

Step-by-step explanation:

x is 3 cm because we can take 3/2 and make it easier for us and turn it into 1 and 1/2. As you can see 6, is 1 and 1/2 of 4, so all we have to do is find out what x equals by finding out what is 1 and 1/2 of 2. 2 is already 1, so we take half of 2 and add it and we get our answer 3 cm.

Answer:

Step-by-step explanation:

Answer:

v=20m/s ,u= 0m/s( from rest) a=1.25m/s Distance s=?

V²= UT +2as

make s subject

2as=v²-u²

S= v²-u²/2a

S =20²-0²/2*1.25

S=400/2.5

S= 160m