Find 20 rational numbers between -3/7 and 2/3

The workers would need 3.71 weeks to repair the road.

A generalization of arithmetic in which letters representing numbers are combined using arithmetic rules

Given that the total length of the road is 13km. Workers can repair 3.50 roads per week.

To determine the number of weeks required to repair the road, divide the total by per week. The equation would be:

13 ÷ 3.5

= (13 x 10)/35

= 130/ 35

= 3.71

Therefore the workers would need 3.71 weeks to repair the road.

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Answer:

c = 13

Step-by-step explanation:

1. Pythagorean theorem states that c^2 = a^2 + b^2

2. In this case, a = 5, b = 12. Therefore, the equation is:

c^2 = 5^2 + 12^2

3. c^2 = 25+144 = 169

4. square root both sides

5. c = 13, c = -13

6. c = 13 since a length cannot be negative.

7. Final answer: C = 13

The statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7) is the graph of f(x) translated 7 units right.

The graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them.

According to the question we have

g(x)=f(x−7).

Given that f(x) then f(x + a) represents a horizontal translation of f(x).

If a > 0 then shift units left

If a < 0 then shift units right

Therefore, f(x - 7) represents a shift right of 7 units.

Hence, The statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7) is the graph of f(x) translated 7 units right.

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Answer:

rewrite what as the unit rate?

Step-by-step explanation:

What is the question

Answer:

The measure of angle a is 43 degrees.

Step-by-step explanation:

Angle P is congruent to Angle R. A triangle's angles add up to 180 degrees. 47*2=94. 180-94=86 degrees. 86/2=43 degrees.

Answer: 43°

Step-by-step explanation:

The degree of a triangle adds up to 180. We are given an angle of 47 and there is a right angle of 90

We now have 90 + 47 + a = 180

137 + a = 180

a = 43

Answer:

1 : 64

Step-by-step explanation:

We require the dimensions to be the same units

1 foot = 12 inches , then

85 \(\frac{1}{3}\) feet = \(\frac{256}{3}\) × 12 = 256 × 4 = 1024 inches

Scale is then

16 in : 1024 in ( divide both parts by 16 )

= 1 : 64

Answer:

Step-by-step explanation:

Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)

Given P = 30ft, on substituting P = 30 into the expression;

30 = 2(x+y)

x+y = 15

y = 15-x

Also since the area of the rectangle is xy;

A = xy

Substitute y = 15-x into the area;

A = x(15-x)

A = 15x-x²

The function that models its area A in terms of the length x of one of its sides is A = 15x-x²

The side of length x yields the greatest area when dA/dx = 0

dA/dx = 15-2x

15-2x = 0

-2x = -15

x = -15/-2

x = 7.5 ft

Hence the side length, x that yields the greatest area is 7.5ft.

Since y = 15-x

y = 15-7.5

y = 7.5

Area of the rectangle = 7.5*7.5

Area of the rectangle = 56.25ft²

Answer:

3017.54

Step-by-step explanation:

3.14 x radius(squared)

31 squared =961

3.14 x 961=

The amount of money are auggie and his friend johnny gonna have by the end of the party is $110

Cost of getting into the party = $10

Number of adults at the party = 4

Number of friends at the party= 9

Total number of people at the party = Number of adults at the party + Number of friends at the party

= 4 + 9

= 11

Total money are auggie and his friend johnny gonna have by the end of the party = Total number of people at the party × Cost of getting into the party

= 11 × $10

= $110

Hence, auggie and his friend johnny will have $110 at the end of the party.

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9514 1404 393

Answer:

  use a spreadsheet or graphing calculator

Step-by-step explanation:

First of all, you need to understand what it is you're graphing.

The given expressions are nonsense, as it is quite clear, for example, that 0=200 is a false statement.

Perhaps you're intending to graph ordered pairs, such as (0, 200) or (2, 241.1208).

You can enter these numbers with their 7-significant-figure precision into your calculator or spreadsheet, but nobody will be able to read more than about 3 (at most, 4) significant digits from any resulting graph.

Graphed as ordered pairs of the sort shown above, the graph will look something like the one attached.

The height of Jeremy is 159 cm.

To find the height of Jeremy:

So,

Then, Jeremy = 135 + 24 = 159 cm.

Therefore, the height of Jeremy is 159 cm.

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9514 1404 393

Answer:

  c) 5n +25q = 365

     2q -4 = n

Step-by-step explanation:

The number of nickels (n) is 4 less than twice the number of quarters (q), so one of the equations is ...

  2q -4 = n

The face value is 365 cents, so another equation is ...

  5n +25q = 365

These equations seem to match choice C.

When one set of numbers in a measurement goes up as another set of numbers goes down, the two sets of numbers exist in an inverse relationship.

An inverse relationship occurs when there is a consistent pattern between two sets of numbers, where one set increases while the other decreases. This relationship can be observed in various scenarios and is often represented graphically as a downward-sloping line. In mathematics, this relationship is expressed using negative correlation coefficients or negative slopes. It implies that as one variable increases, the other variable decreases at a corresponding rate.

For example, consider the relationship between the price and demand for a product. As the price of a product increases, the demand for that product tends to decrease. This is known as the law of demand in economics. Similarly, in physics, the relationship between speed and time can exhibit an inverse relationship. As time decreases, speed tends to increase.

Overall, an inverse relationship between two sets of numbers indicates that they move in opposite directions. When one set of numbers increases, the other set decreases, and vice versa.

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The inequality expression that matches the solution of the number line is 6/2x + 1 > 7

The given parameter is the number line

On the number line, we have

Start position = 2 with an open circle

Arrow direction = Right

The above means that the inequality expression is x > 2

A possible equivalent expression is

3x + 1 > 7

Express 3 as 6/2

So, we have

6/2x + 1 > 7

Hence, the inequality is 6/2x + 1 > 7

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Increase the accuracy of your measurements by using a more precise instrument or tool, such as a protractor or ruler.

The accuracy of the intersection of your three circles may not have been exact due to imprecise measurements taken. To improve the results, you could use a more precise instrument or tool, such as a protractor or ruler. With a protractor , you can measure the angle of the intersection of the circles more accurately. If a ruler is used, make sure that it is a straight edge, and measure the distance between the circles to ensure they intersect at the same point . Once the measurement is taken, draw the circles and their intersection accordingly. Doing this will help improve the accuracy of the intersection of the three circles and yield better results.

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The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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The type of transformation represented is rotation

Transformation techniques is the process of changing the position of an object on the xy-plane.

The transformation technique that we have include;

From the diagram, you can see that the vertices ABC rotates clockwisely to generate the position A'B'C'. Hence the type of transformation represented is rotation

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In the wοrd prοblem , the difference between their jump is C) 1 yard.

Wοrd prοblems are οften described verbally as instances where a prοblem exists and οne οr mοre questiοns are pοsed, the sοlutiοns tο which can be fοund by applying mathematical οperatiοns tο the numerical infοrmatiοn prοvided in the prοblem statement. Determining whether twο prοvided statements are equal with respect tο a cοllectiοn οf rewritings is knοwn as a wοrd prοblem in cοmputatiοnal mathematics.

Here Height of Natalie jumped = \(2\frac{5}{6}\) yards

Height of Mia jumped = \(1\frac{7}{8}\) yards

Now the difference between their jumps is ,

=> \(2\frac{5}{6}-1\frac{7}{8}\)

=> \(\frac{12+5}{6}-\frac{8+7}{8}\)

=> \(\frac{17}{6}-\frac{15}{8}\)

=> \(\frac{136-90}{48}\)

=> \(\frac{46}{48} = \frac{23}{24}\) yards \(\sim 0.95 = 1 yard\)

Hence the difference between their jump is C) 1 yard.

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Answer:<EBA=103

Step-by-step explanation:

72+31=103

Answer:

\(\boxed {\tt C. \ m \angle EBA=103}\)

Step-by-step explanation:

∠EBA is made up of 2 angles: ∠ABC and ∠EBC

If we want to find the measure of ∠EBA, we should add the measure of ∠ABC and ∠EBC.

m∠EBA= m∠ABC+m∠EBC

The measure of angle ABC is 72. The measure of angle EBC is 31. (m∠ABC=72 and m∠EBC=31)

m∠EBA= 72 + 31

Add.

m∠EBA=103

The measure of angle EBA is 103 and choice C is correct.

Answer:

42

Step-by-step explanation:

Answer: D. 42°

Step-by-step explanation: RIGHT ON EDGE 2023

the probability that response time is more than 10 minutes is 0.7324.

The given normal distribution has:

Mean, μ = 83

Standard deviation, σ = 20

Probability,

Density Function of a normal distribution is given by:

\Large f(x) = \frac{1}{\sqrt{2\pi}\sigma}\space e^{\frac{-(x-\mu)^2}{2\sigma^2}}

a) Find the probability that x is more than 60.

P(x > 60) = 1 - P(x < 60).

Now, calculate the z-score. z = \frac{x-\mu}{\sigma} = \frac{60-83}{20} = -1.15

Using a normal distribution table or calculator, we get the probability value as 0.8749.

Hence, P(x > 60) = 1 - P(x < 60) = 1 - 0.8749 = 0.1251.

Therefore, the probability that x is more than 60 is 0.1251.

b) Find the probability that x is less than 110.

Now, calculate the z-score. z = \frac{x-\mu}{\sigma} = \frac{110-83}{20} = 1.35

Using a normal distribution table or calculator, we get the probability value as 0.9115.

Hence, P(x < 110) = 0.9115

Therefore, the probability that x is less than 110 is 0.9115.

c) Find the probability that x is between 60 and 110.

Now, calculate the z-score.

For x = 60, z_1 = \frac{60-\mu}{\sigma} = \frac{60-83}{20} = -1.15

For x = 110, z_2 = \frac{110-\mu}{\sigma} = \frac{110-83}{20} = 1.35.

Using a normal distribution table or calculator, we get the probability value as 0.8617 for z = -1.15 and 0.9115 for z = 1.35.

Hence, P(60 140) = 0.0021

Therefore, the probability that x is greater than 140 is 0.0021. 

The given normal distribution has: Mean, μ = 9.0, Standard deviation, σ = 1.6a)

Find the probability that response time is between 5 and 10 minutes. Now, calculate the z-score.

For x = 5, z_1 = \frac{5-\mu}{\sigma} = \frac{5-9}{1.6} = -2.50

For x = 10, z_2 = \frac{10-\mu}{\sigma} = \frac{10-9}{1.6} = 0.625.

Using a normal distribution table or calculator, we get the probability value as 0.8871 for z = 0.625 and 0.0062 for z = -2.50.

Hence, P(5 10) = 1 - P(x < 10) = 1 - 0.2676 = 0.7324.

Therefore, the probability that response time is more than 10 minutes is 0.7324.

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The sentence that correctly combines them without changing the original meaning is option (D) Our house needs to be repainted, so we want it to sell more quickly

The correct answer is D because it combines the two sentences in a logical and clear way without changing the original meaning. It effectively shows that the reason why they want to repaint the house is because they want to sell it more quickly.

The conjunction "so" makes the relationship between the two sentences clear and shows that the first sentence is the cause and the second sentence is the effect. The other options either change the meaning or structure of the original sentences.

Therefore, the correct option is (D) Our house needs to be repainted, so we want it to sell more quickly

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Answer:

123+478= 601

Step-by-step explanation:

u r from south korea ,cool. !

Answer:

601

Step-by-step explanation:

Answer:

\(x = - 3\)

Step-by-step explanation:

Reason

\(3( - 2 + 1) + 5 = 3x - 4 - 5x \\ open \: the \: bracket \: at \: the \: lhs \\ - 6 + 3 + 5 = 3x - 4 - 5x \\ 2 = 3x - 4 - 5x \\ collect \: like \: terms \\ 2 + 4 = 3x - 5x \\ 6 = - 2x \\ 2x = - 6 \\ divide \: both \: sides \: by \: 2 \\ \frac{2x}{2} = \frac{ - 6}{2} \\ x = - 3\)

Answer:

1904.60

Step-by-step explanation:

pv=1500

interest=4/4

interest=1

n=6*4

n=24

Fv?

fv=pv(1+r/n)^nt