Is −1 4 < −3 4 ? Use the number line to explain your answer.

The time and electricians it would take the remaining 3 electricians 8 hours to complete the job if one electrician does not report.

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

If x men take y time for a work,

We can define a constant as "Manpower" needed for doing that specific work.

Let we define:

Manpower needed for a work = y + y + y + .. + y = Time per man × count of men

Manpower needed for a work = xy

We are given that;

Number of electricians= 4

Number of hours= 6

Now,

We can use the formula:

workers × time = work

where "workers" is the number of electricians, "time" is the number of hours they work, and "work" is the amount of work done.

In this case, we know that 4 electricians can complete the job in 6 hours. So:

4 × 6 = work

work = 24

This means that the total amount of work required to complete the job is 24 "units".

Now, if one electrician doesn't show up, we have only 3 electricians to do the work. Let's call the time it takes for the 3 electricians to complete the job "t".

So we have:

3 × t = 24

Dividing both sides by 3, we get:

t = 8

Therefore, by work and time answer will be 3 electricians and 8 hours.

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Answer:

i would say at least a 70

and i hope you do well

hope this helps ;)

On each roll of a 6-sided die, we have 6 possible outcomes.

Then if we roll it twice, we will have 36 outcomes.

The outcomes where the sum is 4 are:

roll 1     roll 2    sum

1             3           4

3            1            4

2           2           4

Son in 3 out of 36 outcomes the sum can be 4, then the probability opf rolling a sum of 4 is given by the quotient:

P = 3/36

P = 1/12

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Answer:

-2 (3x +12 Y -5 -17 X -16 Y +4)

Step-by-step explanation:

omg.. here we go..

-2 (17) i THinK im not sure hope this helped

Answer:

4/17

Step-by-step explanation:

There are 4 suits in the standard deck and 13 cards in each suit. The first pick doesn't matter as it doesn't specify which suit we need. Now that we have picked the first card, it will not be replaced, meaning there are now 51 cards, and importantly, only 12 cards left in the same suit as the one we picked. This means the probability that the next card we pick is in the same suit is 12 out of 51, or 12/51, which can be simplified to 4/17.

Answer:

4/17

Step-by-step explanation:

There are 52 cards in a standard deck.

There are 4 suits and 13 cards of each suit in a deck.

You select the first card, and it will be a card of one of the 4 suits.

Now you need to select a second card. You want it to be the same suit as the first card.

There are 51 cards left in the deck and 12 cards left of the same suit as the first card.

p(same suit) = 12/51 = 4/17

Recall that

\((a+b)^3=a^3+3a^2b+3ab^2+b^3\)

which means

\(\left(r+\dfrac1r\right)^3=r^3+3r^2\left(\dfrac1r\right)+3r\left(\dfrac1r\right)^2+\left(\dfrac1r\right)^3=r^3+3r+\dfrac3r+\dfrac1{r^3}\)

Given that \(r+\frac1r=\sqrt2\), we have

\((\sqrt2)^3=r^3+3\sqrt2+\dfrac1{r^3}\)

\(\implies r^3+\dfrac1{r^3}=2\sqrt2-3\sqrt2=\boxed{-\sqrt2}\)

The time taken by Amy to travel to the place was t = 4 hours.

A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.

In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.

Let the time taken to get back = t + 1.

Now, it took one hour less time to get there thus time = t.

Now, average speed is given as:

average speed = total distance / total time

Substituting the values:

50 km/h = d / t

d = 50t  .........(1)

40 km/h = d / (t + 1)

d = 40(t + 1)......(2)

Setting the value of d as equal we have:

50t = 40(t + 1)

50t = 40t + 40

10t = 40

t = 4

Hence, the time taken by Amy to travel to the place was t = 4 hours.

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The solution set for the inequality is x < -10

The different signs for representing inequalities are;

From the information given, we have that;

−4x−38<2

To solve for the value of x, take the steps;

collect the like terms

-4x> 2 + 38

Add the values

-4x> 40

Divide both sides by the coefficient of x, we have;

x > -10

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The ladder will be able to reach 140.95ft on the building

Data;

To calculate the height of the building, we have to use trigonometric ratios which is SOHCAHTOA because the angle and the wall of the building forms a right angle triangle

Since we have the value of hypothenuse and angle, we can find the opposite side using the sine ratio

\(sin \theta = \frac{opposite}{hypothenuse}\\ sin 70 = \frac{x}{150} \\x = 150sin70\\x = 140.95ft\)

From the calculations above, the height of the building which the ladder will reach is 140.95 ft.

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To determine how the surface area of a rectangular prism changes when all dimensions are quadrupled, we need to compare the original surface area to the new surface area.

The original surface area of the rectangular prism is given by:

SA_original = 2lw + 2lh + 2wh

where l, w, and h represent the length, width, and height of the prism, respectively.

In this case, the dimensions of the original box are:

Length (l) = 3 ft

Width (w) = 6 ft

Height (h) = 5 ft

Substituting these values into the formula, we have:

SA_original = 2(3)(6) + 2(3)(5) + 2(6)(5)

            = 36 + 30 + 60

            = 126 square feet

Now, if we quadruple all the dimensions of the box, the new dimensions would be:

Length (l_new) = 4(3) = 12 ft

Width (w_new) = 4(6) = 24 ft

Height (h_new) = 4(5) = 20 ft

The new surface area of the enlarged box is given by:

SA_new = 2(l_new)(w_new) + 2(l_new)(h_new) + 2(w_new)(h_new)

       = 2(12)(24) + 2(12)(20) + 2(24)(20)

       = 576 + 480 + 960

       = 2016 square feet

Comparing the original surface area (SA_original = 126 sq ft) to the new surface area (SA_new = 2016 sq ft), we can see that SA_new is 16 times greater than SA_original.

Therefore, the correct answer is:

1. The new surface area would be 16 times the original surface area.

Answer:

a. 5000 kg

b. 300 ml

c. 9 hours

Answer:

Step-by-step explanation:

This is not proportional.

There are two ways you can tell

Examples

x = 3

y = 18

y/x = 6

x = 2

y = 11

y/x = 11/2 = 5.5

Myiah rides her bike from home to the park so there is a distance from home, then she and her friends stay some time at the park, then the distance vs time is a horizontal line because they don't move while the time is moving. Finally, she rides her bike home at a slower rate, so she takes more time to get home.

In conclusion, the graph that represents this situation is the third.

The other answer is just wrong.

There are 9•9•8 = 648 distinct 3-digit codes. The first digit can be any numeral from 1-9, the next digit can be any from 0-9 minus the one used in the first position, and the last digit can be any from 0-9 minus both the numerals used in the first two positions.

But that doesn't even account for the divisibility constraint.

Let the code be \(abc\). We can expand this as

\(100a + 10b + c\)

In order for this to be divisible by 4, we observe that

\(100a + 8b + 2b + c = 4 (25a + 2b) + (2b+c)\)

so we only need \(2b+c\) to be divisible by 4.

The last digit must be even, so there are only 5 choices for the last digit. I list the possibilities and outcomes below. For some integer \(k\), we need

\(c=0 \implies 2b=4k \implies b=2k\)

\(c=2 \implies 2b+2=4k \implies b = 2k-1\)

\(c=4 \implies 2b+4 = 4k \implies b = 2(k-1)\)

\(c=6 \implies 2b+6 = 4k \implies b = 2k-3\)

\(c=8 \implies 2b+8=4k \implies b = 2(k-2)\)

Ignoring \(a\) for the moment, in the cases of \(c\in\{0,4,8\}\), \(b\) is also even. This leaves 3 choices for \(c\) and 2 choices for \(b\).

Likewise, in the cases of \(c\in\{2,6\}\), \(b\) is odd. This leaves 2 choices for \(c\) and 5 choices for \(b\).

Now taking into account the choice for \(a\), we have the following decision tree.

• If \(a\in\{2,6\}\) and \(c\in\{0,4,8\}\), then \(b\in\{0,2,4,6,8\}\setminus\{a,c\}\) - a total of 2•3•3 = 18 codes.

• If \(a\in\{4,8\}\) and \(c\in\{0,4,8\}\setminus\{a\}\), then \(b\in\{0,2,4,6,8\}\setminus\{a,c\}\) - a total of 2•2•3 = 12 codes.

• If \(a\in\{2,6\}\) and \(c\in\{2,6\}\setminus\{a\}\), then \(b\in\{1,3,5,7,9\}\setminus\{a,c\}\) - a total of 2•1•5 = 10 codes.

• If \(a\in\{4,8\}\) and \(c \in\{2,6\}\), then \(b\in\{1,3,5,7,9\}\) - a total of 2•2•5 = 20 codes.

• If \(a\in\{1,3,5,7,9\}\) and \(c\in\{0,4,8\}\), then \(b\in\{0,2,4,6,8\}\setminus\{c\}\) - a total of 5•3•4 = 60 codes.

• If \(a\in\{1,3,5,7,9\}\) and \(c\in\{2,6\}\), then \(b\in\{1,3,5,7,9\}\setminus\{a\}\) - a total of 5•2•4 = 40 codes.

Hence there are a total of 18 + 12 + 10 + 20 + 60 + 40 = 160 codes.

Answer:

Let's assume that 225 is 3/4.

225/3 = 75

75 x 4 = 300

Step-by-step explanation:

Hope this helped! Have a great day!

Answer:

-3

Step-by-step explanation:

Parallel lines always share the same slope.

Hope it helps!

No, his answer is not correct because each of the smaller divisions represents 1/6, not 3.

Mark's answer is not correct.

When dividing a number line into equal sections, the value of each section represents a fraction of the whole.

In this case, Mark divided the number line from 0 to 1 into 3 equal sections and then divided each of those sections into 2 equal parts.

Initially, the whole number line from 0 to 1 represents the number 1. When Mark divided it into 3 equal sections, each section represents 1/3 (one-third) of the whole.

So far, this is correct.

However, when Mark further divided each of the 1/3 sections into 2 equal parts, each part represents 1/2 (one-half) of the 1/3 section.

So, each of these smaller divisions represents 1/2 \(\times\) 1/3 = 1/6 (one-sixth) of the whole.

Therefore, the correct representation of each of the smaller divisions is 1/6, not 3.

Mark made an error by mistakenly assuming that each smaller division represents the number 3.

In summary, Mark's answer of 3 is incorrect because each of the smaller divisions represents 1/6, not 3.

The correct representation for dividing the number line as described is 1/6.

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From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

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Answer:

1/8

Step-by-step explanation:

Sara: 3/8+1/4=5/8

Jon: 1/2+1/4=6/8

6/8-5/8=1/8

1/8 more pizza Jon ate than Sara

Answer: 20

Step-by-step explanation:

Multiply 2.4*10-4

Calculate 24-4

the answer is (12x^10000)/5

5.5lb - --------------------------------> $25.85

8.8lb-----------------------------------> $x

Using cross multiplication:

8.8lb will cost $41.36

Answer:

Area is 648

Step-by-step explanation:

Each of the 6 triangles has base RI = 18 and height of ED/2 = 24/2 = 12

Area of each triangle is 18*12/2 = 108

And we have 6 triangles, for a total of 108*6 = 648

a discrete random variable.

Discrete variables are countable in a finite amount of time

Continuous variables would take forever to count. Hopefully we do not have that many accidents. Continuous variables would be like time.

Discrete things are things we can count and thats it, like the amount of change in your pocket, or the number of tic tacs in the container.

They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

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The type of distribution pictured in this histogram is skewed.

A skewed distribution is a statistical distribution that is not symmetrical around its mean or median.

In a skewed distribution, the tail of the distribution is pulled in one direction or the other, resulting in a longer tail on one side than the other.

There are two types of skewed distributions: positively skewed and negatively skewed.

The distribution in the image is positively skewed as its is pulled towards the left.

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Answer:

z = 3/31

Step-by-step explanation:

5z + 3 = 36z

subtract 5z on both sides

3 = 31z

divide by 31 on both sides

z = 3/31

Answer:

The first factor of the mass of an average grain of rock salt 120 is 40 times the first factor of the mass of an average grain of table salt 3.

Step-by-step explanation: Answer from edmentum Hope it helped!

Answer:

From part D, the mass of an average grain of rock salt is 120 x 10^-4. The first factor is 120.

The mass of an average grain of table salt is 3 x 10^-4. The first factor is 3. Let x times the first factor of the mass of an average grain of table salt be equal to the first factor of the mass of an average grain of rock salt.

3x = 120

x = 120/3

x = 40

So, the first factor of the mass of an average grain of rock salt (120) is 40 times the first factor of the mass of an average grain of table salt (3).

Step-by-step explanation:

Exact edmentum answer

hope this helps :)

Answer:The picture did not load

Step-by-step explanation:Sorry

Answer: a) Write an equation that represents the amount of water in the first pool after t minutes, assuming water is only being added and not removed.

We can use the formula for uniform motion to represent the amount of water in the first pool after t minutes:

amount of water = initial amount + rate * time

The initial amount of water in the first pool is 872 liters. The rate at which water is being added to the first pool is 18.25 liters per minute. Therefore, the equation that represents the amount of water in the first pool after t minutes is:

A(t) = 872 + 18.25t

b) Write an equation that represents the amount of water in the second pool after t minutes, assuming water is only being added and not removed.

Similar to part (a), we can use the formula for uniform motion to represent the amount of water in the second pool after t minutes:

amount of water = initial amount + rate * time

The initial amount of water in the second pool is 0 liters, since it is initially empty. The rate at which water is being added to the second pool is 45.5 liters per minute. Therefore, the equation that represents the amount of water in the second pool after t minutes is:

B(t) = 0 + 45.5t

c) How long will it take until the two pools have the same amount of water?

To find the time when the two pools have the same amount of water, we can set the two equations from parts (a) and (b) equal to each other:

A(t) = B(t)

872 + 18.25t = 45.5t

Subtracting 18.25t from both sides, we get:

872 = 27.25t

Dividing both sides by 27.25, we get:

t ≈ 32 minutes

Therefore, it will take approximately 32 minutes until the two pools have the same amount of water.

Step-by-step explanation: