5.175 into a fraction

Answer:

15n

Step-by-step explanation:

3n* 5

15n

Answer:

n has no value.

There is no solution to this equation

Step-by-step explanation:

let n be the number

In pieces:

sum of the number and 1: (n + 1)

8 times the sum: 8(n + 1)

-7 times a number: -7n

sum of -7 times and...: -7n + 8(n + 1)

number minus 7: n - 7

the same as: =

All together:

-7n + 8(n + 1) = n - 7

-7n + 8(n+1)=n-7

-7n + 8n+8=n-7

0=-15

Answer:

\(5x+11\)

Step-by-step explanation:

Step 1: Distribute

\(3x+6+2x+5\)

Step 2: Add like terms

\(5x+11\) < your answer

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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Answer:

D

Step-by-step explanation:

The equation is like this :

Popcorn + 5(Price of each juice bottle) = total cost

1.59 + 5j = 13.34

Subtract both sides with 1.59

5j = 11.75

A and C are obviously wrong

B is wrong because there is only one of the juice bottle in the diagram

The answer is D

The expression is equivalent to 1/3(9x + 12) + 4x + 6 will be 7x + 10. Then the correct option is B.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 1/3(9x + 12) + 4x + 6

Simplify the expression, then we have

⇒ 1/3(9x + 12) + 4x + 6

⇒ 3x + 4 + 4x + 6

⇒ 7x + 10

The expression is equivalent to 1/3(9x + 12) + 4x + 6 will be 7x + 10. Then the correct option is B.

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The first table A shows the relationship between the number of sets of markers bought by the teacher and the total cost of the markers.

From given question, the cost per set of markers = $3

The teacher had a $2-off coupon to use toward the total cost of the markers bought.

It is given that the number of sets of markers bought by the teacher is x, and y is the total cost of the markers.

so, we get a linear equation as:

3x - 2 = y

From table A we can see that the data satisfied the given equation,

3x - 2 = y

when x = 3, y = 3(3) - 2 = $7

when x = 9, y = 3(9) - 2 = $25

when x = 12, y = 3(12) - 2 = $34

when x = 24, y = 3(24) - 2 = $70

Therefore, the first table A shows the relationship between the number of sets of markers bought by the teacher and the total cost of the markers.

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The tables which shows a proportional relationship between x and y are table 3 and table 4.

Using ratio to find the proportional relationship

Table 1

x : y = 8 : 8

= 1 : 1

x : y = 12 : 10

= 6 : 5

Not proportional

Table 2:

x : y = 2 : 3

x : y = 3 : 8

Not proportional

Table 3:

x : y = 5 : 3

x : y = 10 : 6

= 5 : 3

Proportional

Table 4:

x : y = 4 : 1

x : y = 16 : 4

= 4 : 1

Proportional

Ultimately, table 3 and table 4 shoes a proportional relationship between x and y.

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The solution of the given system of equations is (-1, -2).

We are aware that a linear system of equations can be solved using a substitution method.

The intersection of the two lines represents the system's solution.

The given equations are-

y = 3x+1 ...eq 1

y = -2x-4  ...eq 2

Put the value of eq 1 in eq2 .

3x+1  = -2x-4

3x + 2x = -4 - 1

5x = -5

x = -5/5

x = -1

Put the x in eq 1.

y = 3(-1)+1

y = -2

Thus, the solution of the given system of equations is (-1, -2).

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The complete question is-

What is the solution to the system of equations-

y=3x+1 ;

y=-2x-4

Answer:

Step-by-step explanation:

If the right side of the equation is x times 2.2, then divide both sides by 2.2:

6/2.2 > x2.2/2.2

30/11 > x

The answer is:

x > 2.7

Work/ explanation:

To solve this inequality, divide each side by 2.2:

\(\bf{2.2x < 6}\)

\(\bf{x > 2.7}\)

Hence, the answer to this inequality is 2.7.

Answer:

No

Step-by-step explanation:

10 is not less than 6, so 10 < r when r=6 is not true.

The expression for the sum of 1 cubed, 2cubed and 3 cubed is 1² + 2³ + 3³ and the value is 36.

It should be noted that the information is to find the expression for the sum of 1 cubed, 2cubed and 3 cubed.

This will be:

= 1³ + 2³ + 3³

= 1 + 8 + 27

= 36

Therefore, the correct answer is 36.

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The expression that is equivalent to complex fraction  \(\frac{1 - \frac{1}{x}}{2}\) is  \({\frac{x - 1}{2x}}\)

To answer the question, we need to know what fractions are

Fractions are rational numbers written in the form a/b where

where

To find the expression similar to the complex fraction \(\frac{1 - \frac{1}{x}}{2}\), we simplify the fraction.

So,  \(\frac{1 - \frac{1}{x}}{2}\)

Taking L.C.M of x in the numerator, we have

\(\frac{1 - \frac{1}{x}}{2} = \frac{\frac{x - 1}{x}}{2} \\\)

Simplifying, we have

\(\frac{1 - \frac{1}{x}}{2} = \frac{\frac{x - 1}{x}}{2} \\= {\frac{x - 1}{2x}}\)

So, the expression that is equivalent to the complex fraction  \(\frac{1 - \frac{1}{x}}{2}\) is  \({\frac{x - 1}{2x}}\)

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Answer:

-6 1/3 is greater

Step-by-step explanation:

-6 1/3 = -6.3333333333

-6.375 = -6.375

Step-by-step explanation:

-6 1/3=-20.3333..

-6.375

So -6.375 is greater than -6 1/3

hope it helps you

have a nice day

Answer:

Rick: 2 miles

Tina: 1,5

Step-by-step explanation:

60mn=1h

reck: 1/2x60÷15=2

tina: 1/4x60÷10=1,5

The distance each hiked in 1 hour is for Tina 3/2 miles and for rick 1/2 miles.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

Rick hiked 1/2 mile every 15 minutes or 1/4 hour.

Tina 10 minutes to hike 1/4 mile.

We have to find the distance each hiked in 1 hour.

According to given question we have

Rick:

1/2 miles= 15 minutes or 1/4 hour

1 miles=  1/4*2=2 hour

2 hour =1 miles

1 hour=1/2 miles

Tina:

1/4  miles = 10 minutes or 10/60=1/6 hour

1 miles=  =1/6*4=2/3 hour

2/3 hour=1 miles

1 hour = 1*3/2=3/2 miles

Therefore, the distance each hiked in 1 hour is for Tina 3/2 miles and for rick 1/2 miles.

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Answer: \(10,724.28\)

Step-by-step explanation:

Given

Distance traveled on each consecutive day is given as

\(10150,10211,10424,10769,10884,11155,11477\)

Mean is given by the sum of the observations divided by the total no of observations.

There are 7 observations in total, so the mean is

\(\Rightarrow \mu =\dfrac{10150+10211+10424+10769+10884+11155+11477}{7}\\\\\Rightarrow \mu=\dfrac{75,070}{7}\\\\\Rightarrow \mu =10,724.28\)

thus, the mean is \(10,724.28\)

The mean distance Ling travels each day is \(10724.28 \: \rm miles\) approximately.

The mean value of the data set is the ratio of sum of data set's values to number of values it has.

If the data set consists of values \(x_1, x_2, ..., x_n\), then we get the mean value as:

\(\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}\)

For this case, we have to find the average distance(in miles) from the distance Ling traveled for 7 days.

Thus, we get the average distance he traveled as:

\(\overline{d} = \dfrac{10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477 }{7}\\\\\overline{d} = \dfrac{75070}{7} \approx 10724.28 \: \rm miles\)

Thus, the mean distance Ling travels each day is \(10724.28 \: \rm miles\) approximately.

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Answer:

from the graph we can see that

for 2 gallones - it can travell 70 miles

4 gallones - 140 miles

we will take the first case

2 gallones - 70 miles

17 gallones - ? miles

cross multiply

\( \frac{17 \times 70}{2} \)

= 595 miles

Answer:

x=-7

Step-by-step explanation:

For equations, our main goal is to isolate the variable, and we do that by performing reverse operations on both sides of the equation to cancel values out.

2x+3=x-4

Subtract both sides by 3

2x+3-3=x-4-3

2x=x-4-3

2x=x-7

Subtract both sides by x

2x-x=x-7-x

x=-7

I hope this helps!

Answer: 2x2 + 1000 x 1000 = 1000004

Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also

Answer:

1000004

Step-by-step explanation:

First we do can separate it into the parentheses: (2*2) + (1000*1000)

= 4 + 1000000

= 1000004

Answer:

30244

Step-by-step explanation:

Step-by-step explanation:

The formula is given by :

\(s=\dfrac{m}{360}\times 2\pi r\)

We have,

m = 19° and d = 9 cm

So,

\(s=\dfrac{19}{360}\times 2\pi \times \dfrac{9}{2}\\\\s=1.49\)

Hence, this is the required soltion.

Answer:

The null hypothesis should be \(H_0: \mu = 12\)

The alternate hypothesis should be \(H_1: \mu \neq 12\)

Step-by-step explanation:

You wondered if the sugar content in energy drinks is really the same as labeled in the products. The disclosure on Red Bull 12 oz.

At the null hypothesis, we test if the sugar content is the same labeled, that is:

\(H_0: \mu = 12\)

At the alternate hypothesis, we test if the sugar context is different from the labeled, that is, different of 12.

\(H_1: \mu \neq 12\)

Three ordered pairs that could represent the location of another vertex of the square are (7, 2), (-5, 2), (1, 8).

To find the possible locations of the other vertices of the square, we need to determine the distance from point K to any other vertex of the square. Since the perimeter of the square is 20 units, each side of the square has a length of 20/4 = 5 units.

One way to find the other vertices is to draw a circle with center at K and radius 5 units, and then look for points on the circle that have integer coordinates. Alternatively, we can use the distance formula to calculate the distance from K to another point (x, y), which must be 5 units, and then solve for y in terms of x.

Using the distance formula, we get:

\(\sqrt{(x-1)^{2} +(y-1)^{2} }\) = 5

Simplifying and squaring both sides, we get:

(x-1)^2 + (y-2)^2 = 25

Expanding the left side and simplifying, we get:

\(x^{2}\) - 2x + \(y^{2}\) - 4y + 20 = 0

Completing the square for x and y, we get:

\((x-1)^{2}\)  + \((y-1)^{2}\)  = \(6^{2}\)

This is the equation of a circle with center at (1, 2) and radius 6 units. Any point on this circle that has integer coordinates could be a vertex of the square, since it will be exactly 5 units away from K.

Using this method, we can find several possible locations of the other vertices of the square. Three of them are:

(7, 2), (-5, 2), (1, 8)

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120 many combinations are possible.

The number of possible ways to choose items from a collection when the order of choice is irrelevant is determined using the combination formula. Combination, to put it simply, is the process of choosing items or things from a bigger group where order is irrelevant.

Consider a collection of three integers P, Q, and R. The number of ways that we may choose two numbers from each group is thus determined by combination.

It is represented as: \(^nC_r\)

where, n = total number of objects in the set

r = number of choosing objects from the set

Given that,

Cell Phone Models A particular cell phone company offers:

4 models of phones

each in 6 different colors

each available with any one of 5 calling plans

Thus, possible combination numbers are:

= (No. of models) × (No. of colors) × (No. of calling plans)

= (4)× (6)× (5)

= 120 possibilities

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The table for the sales data is missing, so i have attached it.

Also, the last part of the question is incomplete.

The complete part 3 is;

3) How many repair records should be sampled if the research firm wants the population men's number of miles drive until, the transmission failure to be estimated with a margin of error of 5,000 miles? Use 95% confidence.

Answer:

A) (66438.35, 80241.65)

B) there's very likely to be a genuine case of early transmission failures, that needs be further investigated.

C) N = 96

Step-by-step explanation:

From the table, the values of the miles driven are;

85092

39323

64342

74276

74425

37831

77539

32609

89641

61978

66998

67202

89341

88798

59465

94219

67998

40001

118444

73341

77437

116803

59817

72069

53500

85288

32534

92857

101769

25066

79294

138114

64090

63436

95774

77098

64544

53402

32464

65605

121352

69922

86813

85586

59902

85861

69568

35662

116269

82256

There are 50 number (n) of miles driven.

Thus;

Mean = sum of all miles driven/50

Sum of all miles driven = 85092 + 39323 + 64342 + 74276 + 74425 + 37831 + 77539 + 32609 + 89641 + 61978 + 66998 + 67202 + 89341 + 88798 + 59465 + 94219 + 67998 + 40001 + 118444 + 73341 + 77437 + 116803 + 59817 + 72069 + 53500 + 85288 + 32534 + 92857 + 101769 + 25066 + 79294 + 138114 + 64090 + 63436 + 95774 + 77098 + 64544 + 53402 + 32464 + 65605 + 121352 + 69922 + 86813 + 85586 + 59902 + 85861 + 69568 + 35662 + 116269 + 82256 = 3667015

Mean;x' = 3667015/50 ≈ 73340

From online calculations, standard deviation; s ≈ 24899

Now, margin of error is given by;

E = zs/√n

We are told confidence interval is 95%. z - value at that is 1.96 from online sources.

Thus;

E = (1.96 × 24899)/√50

E = 6901.65

Now the 95% confidence interval is given by;

(x' - E), (x' + E)

This gives;

(73340 - 6901.65), (73340 + 6901.65) = (66438.35, 80241.65)

B) From the miles driven, the median is;

(53500 + 85288)/2 = 69394

This value is less than the mean of 73340. Thus, half of the transmission failures already happened before the average running miles. Therefore, there's very likely to be a genuine case of early transmission failures, that needs be further investigated.

C) we are told to use 5000 miles and 95% confidence interval.

Thus; E = 5000 and s remains 24899

The required sample size is given by;

N = (z•s/E)²

N = (1.96 × 24899/5000)²

N ≈ 96

The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.

The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:

Output = (6 * x) - 80

The problem states that the input and output are the same. Therefore, we can set up the equation:

x = (6 * x) - 80

To solve for x, we'll rearrange the equation and isolate the variable:

x - 6 * x = -80

Combine like terms:

-5 * x = -80

Divide both sides by -5:

x = (-80) / (-5)

Simplifying the division:

x = 16

Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.

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Answer:

x = 6

Step-by-step explanation:

1) Subtract 13 from both sides.

\(x = 19 - 13\)

2) Simplify 19 - 13 to 6.

\(x = 6\)

Therefor, the answer is option D. x = 6.

The required number of litres of pure and 85% maple syrup required to produce 150 litres of 96% maple syrup is 40 litres and 110 litres respectively.

Let :

Amount of pure (100%) maple syrup = a

Amount of 85% map’e syrup = b

Creating a system of equation :

From (1)

Substitute a = 150 - b into (2)

From (1)

Therefore, 40 litres of pure maple syrup and 110 litres of 85% maple syrup will be used.

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