Convert the mixed number to an improper fraction 3 1/3

The sum of the fraction given in decimal will be 3.46.

It should be noted that the information is for us to simply add the values that are given.

This will be:

= 3/20 + ✓10

= 0.3 + 3.16

= 3.46

Therefore, the sum of the fraction given in decimal will be 3.46.

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Answer: 4 Days

Step-by-step explanation:

To drive a 100 miles you would do 0.05*100=5

it cost 37.50 everyday and if you add the 5.00 it would cost to drive the 100 miles you get 42.50-200=157.50

37.50*4=150+42.50=192.50

she could rent the car for 4 days

The 100th term of the sequence is 2130.

a3 = a + 2d = 93

a5 = a + 4d = 135

Compute both equations

(4d - 2d) = (135 - 93)

2d = 42

d = 42/2 = 21

a + 2d = 93

a + 2(21) = 93

a + 42 = 93

a = 94 - 42 = 51

100th term will be:

= a + 99d

= 51 + 99(21)

= 51 + 2079

= 2130

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Cost of Kersey and Jeana is reported. x=6 that is when they each purchase a sweater and six pairs of pants.

Given that,

Kelsey spends $24 on a pullover and $17.95 each on numerous pairs of uniform pants. At a different store, Jeana purchases a sweater for $18 and several pairs of uniform pants for $18.95 apiece.

Cost for Kersey is reportedly;

$17.95 per pair of pants

$24 for each sweater

If there are x pants.

The overall price for Kersey is then;

17.95x + 24

Cost for Jeana, we are informed, is;

$18.95 for each pair of pants

Sweater price: $18

If there are x pairs of pants.

Therefore, Jeana's overall cost is;

18.95x + 18

In the following circumstances, their overall cost will be equal:

17.95x + 24 = 18.95x + 18

18.95x - 17.95x = 24 - 18

x = 6

Therefore, x=6 that is when they each purchase a sweater and six pairs of pants.

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Answer:

No solutions.

Step-by-step explanation:

We are given the inequality 6(x+3) < 3(2x+6), and we want to solve the inequality for x.

We can first do the distributive property on both sides, where we multiply each term on the left side by 6, and each term on the right by 3.

6(x+3) < 3(2x+6)

6x + 18 < 6x + 18

Solving inequalities is a lot like solving equations; we want to isolate the variable by itself on one side.

First, we can subtract 18 from both sides.

6x + 18 < 6x + 18

    -18           -18

____________________

6x < 6x

Now, we can subtract 6x from both sides, to get 6x off the right side.

6x < 6x

-6x   -6x

0 < 0

We now have the inequality 0 < 0. This is never true, as 0 is always equal to 0.

Therefore, there are no values of x that will make this true, because no matter what, we will end up with a false statement. The answer is no solutions.  

The dimensions of the rectangle =  6 ft

Along with arithmetic, geometry is among the oldest subfields of mathematics. It is concerned with spatial characteristics like the separation between objects, their shape and size, and their relative positions. Geometer is the term used to describe a mathematician who specializes in geometry.

At a fundamental level, geometry is essential to understand because it lays the groundwork for learning more complex mathematical concepts. Raj Valli, the founder of Thinkster Math, notes that algebra and geometry frequently overlap. In science and math classes, it introduces crucial formulas like the Pythagorean theorem.

length = 2w - 1

We know that the area:

Area = length * width

Area = 2w - 1 * width

A= 2w^2 -w = 21

2w^2 - w -21 = 0.  Solve for w using quadratic formula.  

[-b±√(b2 - 4ac)]/2a

[1± √((-1)^2 - 4*2*(-21))]/(2*2)

[1± √(1+168)]/4

w = 3.5 ft

length = 2w - 1

= 2*3.5 - 1

= 6 ft

The dimensions of the rectangle =  6 ft.

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the volume of the cone when radius is cm  and height is 13 cm is 340.34 cm³

What are derived units?

Defining a derived unit is the process of deriving a measurement unit from one or more of the seven base units of the International System of Units (SI). There are two types of derived units: dimensionless and the product of base units.

Here, the given data for cone are :

radius of base r = 5 cm = 0.05 m

height of cone h = 13 cm = 0.13 m

Now, the volume V of cone is given by :

V = 1/3 πr²h

Now, finding the volume of cone by substituting the values in above equation :

V = 1/3 πr²h

V = 1/3  π x (5)² x 13

V = 340.34 cm³

Therefore, the volume of the cone is 340.34 cm³

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Using relations in a right triangle, it is found that the length of y is given by:

[tex]y = 2\sqrt{6}[/tex]

The relations in a right triangle are given as follows:

The hypotenuse of both triangles is found as follows:

sin(60º) = 6/x.

[tex]\frac{\sqrt{3}}{2} = \frac{6}{x}[/tex]

[tex]x = \frac{12}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]x = 4\sqrt{3}[/tex]

Hence length y is found as follows:

[tex]\cos{45^\circ} = \frac{y}{4\sqrt{3}}[/tex]

[tex]\frac{\sqrt{2}}{2} = \frac{y}{4\sqrt{3}}[/tex]

[tex]2y = 4\sqrt{6}[/tex]

[tex]y = 2\sqrt{6}[/tex]

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Hence , equation of the line that is perpendicular to the line y = 6 and passes through the point (-4,-3) is x = -4 which is option (a) .

The line y = 6 could be a horizontal line through the purpose (0,6) on the coordinate axis. A line perpendicular thereto are vertical and thru the coordinate axis. this suggests its equation are x = a wherever a is that the x-coordinate. Since it should experience the purpose (-4,-3) then the equation is x =  -4.

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Number of beats play by in 4[tex]\frac{1}{2}[/tex] minutes = 495 beats

The number of beats per minute is 110 beats.

The number of beats in 1 minute = 110

The number of beats in 4[tex]\frac{1}{2}[/tex] minute= 110×[tex]4\frac{1}{2}[/tex]

                                                       = 110 × 9/2

                                                       = 495 beats

Therefore we have total of 495 beats in [tex]4\frac{1}{2}[/tex] minutes.

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Answer:

No.

Step-by-step explanation:

Rational numbers can be written as a fraction.

The simplified value of the maximum weight is 9.62 and the minimum weight is 9.18. Also the function for the maximum and minimum weight is y + x and y - x

Here,

Given that, A package with a labeled weight of 9.4 pounds can have an actual weight plus or minus 0.22 pounds.
Let the weight labeled be y and the actual weight be x
Weight = y ± x
Maximum weight = y + x
Minimum weight = y - x

Weight = 9.4 ± 0.22
Now,
Maximum weight = 9.4 + 0.22 = 9.62 pounds
Minimum weight = 9.4 - 0.22 = 9.18 pounds

Thus, the simplified value of the maximum weight is 9.62 and the minimum weight is 9.18. Also, the function for the maximum and minimum weight is y + x and y - x

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Answer:

can you resend the picture again because its not clear plss

An absolute value inequality that represents the acceptable amounts of sodium is; 35 ≤ A ≤ 45

We are told that a can of soda can have a minimum of 35 milligrams of sodium and a maximum of 45 milligrams of sodium.

Now, an absolute value inequality that represents this expression would be written as;

35 ≤ A ≤ 45

Thus, we conclude that an absolute value inequality that represents the acceptable amounts of sodium is; 35 ≤ A ≤ 45

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Answer:

2x)\9

Step-by-step explanation:

Answer:

X+3/6=

Step-by-step explanation:

From the given scatter-plot, we have that:

A scatter plot shows a series of points (x,y), relating the input x to the output y.

For the scatter-plot in this problem, we have that:

The points are given as follows:

(10, 155), (30, 120), (50, 80), (70, 25), (80, 18).

When x = 25, y = 125, meaning that the monthly home heating bill was of $125 for a month with average temperature was of 25ºF.

From the points in the scatter plot, when x increases, y decreases, which is the answer for the second item of the question. It makes sense, as when it is hotter, the spending in heaters is unnecessary.

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The probability is 0.1932 that a randomly selected man considers himself a professional fan.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

We have been given data as:

The number of randomly selected men, n = 10.

Probability of success, that a randomly selected man considers himself a professional fan, p = 61% or 0.61

Probability of failure, that a randomly selected man does not consider himself a professional fan is:

⇒ q = 1 − p = 1 − 0.61= 0.39

The probability that the number of men who consider themselves professional fans is:

⇒ ⁿcₓpˣqⁿ⁻ˣ

Substitute exactly x = 5

⇒ ¹⁰c₅(0.61)⁵(0.39)¹⁰⁻⁵

⇒ ¹⁰c₅(0.61)⁵(0.39)⁵

⇒ 0.1932

Therefore, the required probability is 0.1932.

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Answer:

y = 25m + 350

Step-by-step explanation:

She already has 350 and every month she will add an additional 25

Answer:

Anna saving her money from m months is 375

The original amount is 12000

Fraction to daughter = 1/2

Fraction to son = 1/2 × 1/2 = 1/4

Brother = 1/6

The remainder is 1000. The fraction for the remainder will be:

= 1 - (1/2 + 1/4 + 1/6)

= 1 - (6/12 + 3/12 + 2/12)

= 1 - 11/12

= 1/12

Therefore, let the original amount be x

1/12x = 1000

x = 12 × 1000

x = 12000

The original amount is 12000.

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When he walked a constant 4 miles per hour on the level road, 3 mph on uphill and 6 mph on downhill, then he walked 20 miles

Given,

A man walked for five hours

First he walked along a level road, then up a hill, then he returned around and walked back to his starting place along the same route.

We know,

Speed = Distance/ Time

Time = Distance / Speed

The speed when he walked on the level road = 4 miles per hour

Distance traveled on the level road = A

Time taken = [tex]\frac{A}{4}[/tex]

The speed when he walked on uphill = 3 miles per hour

Distance traveled on the level road = B

Time taken = [tex]\frac{B}{3}[/tex]

The speed when he walked on downhill = 6 miles per hour

Time taken = [tex]\frac{B}{6}[/tex]

Then he walked level road again

Total time taken = Time taken on level road+ Time taken on uphill+ Time taken on downhill+ Time taken on level road

[tex]\frac{A}{4}+\frac{B}{3}+\frac{B}{6}+\frac{A}{4}=5\\ \frac{3A+4B+2B+3A}{12}=5\\[/tex]

6A+6B=60

2A+2B=20

Hence,  when he walked a constant 4 miles per hour on the level road, 3 mph on uphill and 6 mph on downhill, then he walked 20 miles

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Answer:

1, 2, 3, 4, 8

Step-by-step explanation:

The 8 factors of 24 are:

1, 2, 3, 4, 6, 8, 12, 24

The factor pairs of 24 are:

1 × 24 = 24

2 × 12 = 24

3 × 8 = 24

4 × 6 = 24

I just need the points gggggggg

The result for the research is given as

Statistics is the survey as well as manipulation of data, which includes methods for gathering, reviewing, analyzing, and drawing conclusions from data.

Now, as per the given question.

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The complete question is -

A researcher wishes to estimate the proportion of all adults who own a cell phone. he takes a random sample of 1,572 adults; 1,298 of them own a cell phone, hence 1298∕1572 ≈ .83 or about 83% own a cell phone.

1. what is the population of interest?

2. what is the parameter of interest?

3. what is the statistic involved?

4. based on this sample, do we know the proportion of all adults who own a cell phone?

The number of movies that will give same cost is 14 movies.

From the information, the cable company charges its customers $4 to rent a movie and an online membership costs $21 and members pay only $2.50 to rent a movie.

Let the number of movies for same cost be represented by x. This will be:

(4 × x) = 21 + (2.50x)

4x = 21 + 2.50x

Collect like terms

4x - 2.50x = 21

1.50x = 21

Divide

x = 21/1.5

x = 14

The number of movies will be 14

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Answer:

10[tex]\sqrt{15}[/tex] + 21[tex]\sqrt{10}[/tex]

Step-by-step explanation:

-\sqrt{15}(-10-7\sqrt{6})

−

15

​

(−10−7

6

​

)

expand -sqrt15(-10-7sqrt6)

1 Expand by distributing terms.

-(-10\sqrt{15}-21\sqrt{10})

−(−10

15

​

−21

10

​

)

2 Remove parentheses.

10\sqrt{15}+21\sqrt{10}

10

15

​

+21

10

​

The cost of the trainers in pounds which is $60 in the USA is £44.94

What is exchange rate?

The exchange rate between the dollar and the pound sterling is the amount at which both currencies exchange hands, I mean the amount of pound sterling that is given in lieu of $1, in this case, for every $1, the amount of pound sterling that is equivalent to it is £0.749, which means that on the basis of the exchange rate the value of trainers in pounds can be determined as shown in details below:

$1 = £0.749

$60=60*£0.749

$60=cost a pair of trainers=£44.94

In short, a pair of trainers selling for $60 in the USA should cost £44.94 based on the exchange rate of $1 = £0.749

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Answer:

The answer would be to flip figure F across the y axis then across the x axis. It would then lie on figure G.

Step-by-step explanation:

the speed and direction of the child relative to the surface of the water. 6.04. m/h

It implies that every object's motion is characterized in relation to Earth's motion. It implies that the motion of every item is explained in relation to every other object's motion. Motion is therefore independent of the frame of reference.

The child is walking East and the ship is moving north.

The relative motion of the child to the water is found using vector addition.

This means the speed of the child to the water is

N= √4^2 + √5^2

  =✓16+25

  =✓41

 =6.04 m/h

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Answer:

4.550.

Step-by-step explanation:

Converting to decimal form:

9/2 = 4.5

4 1/2 = 4.5

4.505

4.550

The largest is 4.550.