Please answer the following questions. What is the slope of the line? How much does the distance increase for each hour since Alan crossed the bridge?

1/5 (x+0.5) +5.24 = 3/2x + 7/10 (x+2.2)

First, apply the distributive property to solve the parentheses

1/5(x)+ 1/5 (0.5) +5.24 = 3/2x + 7/10(x) + 7/10 (2.2)

1/5x +0.1 +5.24 = 3/2x + 7/10 x + 1.54

Combine like terms

1/5x +5.34 = 11/5x +1.54

Move the x terms to the left side of the equation:

1/5x-11/5x = 1.54-5.34

-2x = -3.8

Divide both sides by -2

-2x/-2 = -3.8/-2

x = 1.9

The sampling method used here is systematic sampling.

What is systematic sampling?

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Answer:

Round 1350 to decimal form and your answer should be 1.35 kg.

Answer:

30 km/s

Explanation:

Formula for average speed = Total distance/total time

From the question,

Total distance = 600 km, Total time = 20 seconds

∴ Average speed = 600 km/20 seconds

Average speed = 30 km/s

Answer:

The answer is B.

Step-by-step explanation:

I remember this question.

Answer:

c

Step-by-step explanation:

1. The fraction of the fish has he already consumed is 17/30.

2. The fraction of the garden is left for her to completely cover is 2/15.

3. The oil and gas that affected the ozone layer in the projection is 1 1/5.

4. The fraction of his total salary is allotted to House Rental is 3/10.

1. Mr. Beeg ate 1/6 of the fish for breakfast and 2/5 of the fish over lunch. The fraction already consumed will be:

= 1/6 + 2/5

= 5/30 + 12/30

= 17/30

2. Tita Flan covered 2/3 of the garden on the 1st day, 1/5 of the garden on the 2nd day. the fraction of the garden is left for her to completely cover the mini park with trees will be:

= 1 - (1/5 + 2/3)

= 1 - 13/15

= 2/15

3. It estimated to 2/5 of depletion of the ozone layer and projections revealed that by the year 2050, its effect will have increased three times. This will be:

= 2/5 × 3

= 6/5

= 1 1/5

4. The fraction of his total salary is allotted to House Rental will be:

= House rental / 2

= 3/5 / 2

= 3/10

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We are given a rectangle with the following dimensions;

Also, placed inside the large rectangle, is a smaller shaded rectangle which has the dimensions;

The ratio of both figures can be expressed as follows;

Substituting for the values of both figures, we now have;

The slope of the line will be positive 9. Then the correct option is C.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope is given as,

Slope = m = (y₂ - y₁) / (x₂ - x₁)

Determine whether a line's slope, which represents the linear connection, is positive, negative, zero, or undefined without using a graph. Next, locate the slope. A babysitter may make $9 per hour and $36 per 4 hours.

Slope = (36 - 9) / (4 - 1)

Slope = 27 / 3

Slope = 9

The slope of the line will be positive 9. Then the correct option is C.

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The exponent of x in the expression (x¹⁰)³⁺⁵ is 6.

Exponent rules, commonly referred to as the "laws of exponents" or "properties of exponents," facilitate the task of simplifying exponent-based statements. These rules can help simplify formulas with exponents that are decimals, fractions, irrational numbers, or negative integers.

The mathematical process known as an exponent often indicates the power of a variable.

As of right now, we are aware that under the scenario of

[tex](x^{a})^{b} = x^{ab}[/tex]

Therefore, solve the power by multiplying 10 by 3/5, and we get

10 × (3/5)

=6

Thus, the expression simplified as

(x¹⁰)³⁺⁵ = x⁶

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It is called the slope of the regression line.

The slope of the regression line including the intercept displays the linear relationship between 2 variables and can also be used in estimating an average change rate.

The slope of a regression line depicts the rate of change in the dependent variable as the independent variable alters because the dependent variable y is dependent on the independent variable x.

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Step-by-step explanation:

100% = $250

1% = 100%/100 = 250/100 = $2.50

the price decreased by

250 - 180 = $70

how many % are $70 ?

as many as how many times 1% ($2.50) fits into $70 :

70 / 2.50 = 28%

it changed (decreased) by 28%.

The equation of the line that passes through point (-5,3) and perpendicular to y=5x-3 is y = -(1/5)x + 2.

The point-slope formula is expressed as

y - y₁ = m( x - x₁ )

Given the data in the question;

First, determine the slope of the initial line using the slope intercept-form. y = mx + b

y = 5x - 3 compared with the slope intercept form,

Slope m = 5

Now, for the equation of line perpendicular to the initial line, its slope must be a negative reciprocal of the initial slope.

Hence, slope of the perpendicular line is;

Slope m = -1/5

Next, find the equation of the perpendicular line, by using the point slope formula.

y - y₁ = m( x - x₁ )

Plug in the slope m ( -1/5 ) and point (-5,3).

y - y₁ = m( x - x₁ )

y - 3 = -1/5( x - (-5) )

y - 3 = -1/5( x + 5 )

y - 3 = -1/5(x) -5/5

y - 3 = -1/5(x) - 1

y = -1/5(x) - 1 + 3

y = -(1/5)x + 2

Therefore, the equation of the perpendicular line is y = -(1/5)x + 2.

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The probability that the mean daily revenue for the next 30 days will be less than $7000 IS 0.7333

Standard deviation of the sample is equal to the population's Standard Deviation divided by the square root of the sample's item count.

Standard Deviation of the sample = [tex]1200/\sqrt{30} = 219.09[/tex]

SD of the sample is equal to the population's Standard Deviation divided by the square root of the sample's item count.

To reach a result of 300, divide 7500 by the mean of 7200. 300 divided by the sample's SD (219.09) yields a result of 1.37. A z-table search for +1.37 returns a result of 0.9147. Accordingly, there is a 0.9147 percent chance that the average daily revenue over the following 30 days will be less than $7500.

To get a result of -200, divide 7000 by the mean of 7200. Divide -200 by the sample's standard deviation (219.09), and you'll get -0.91. search for -0.91 in a z-table receive a score of 0.1814. The likelihood that the mean daily revenue for the following 30 days would be less than $7000 is therefore 0.1814.

Simply subtract the likelihood that the mean daily revenue is less than $7000 (0.1814) from the likelihood that the mean daily revenue is less than $7500 (0.9147) to arrive at the probability that the mean daily revenue for the upcoming 30 days will be between $7000 and $7500. This yields a result of 0.7333.

There is a 73.33% chance that the average daily income over the following 30 days will be less than $7000.

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The width of the rectangular garden is 40feet. The equation that represents the garden's perimeter is 2(60 + w) = 200.

A rectangular garden has a length of 60 feet (ft)

a width of w ft

and a perimeter of 200 ft.

The formula of perimeter of a rectangle is 2(lenght + width)

The equation that represents the garden's perimeter is 2(60 + w) = 200

2(60 + w) = 200

120 + 2w = 200

2w = 200 - 120

2w = 80

w = 40

Therefore, width of the rectangular garden is 40feet. The equation that represents the garden's perimeter is 2(60 + w) = 200

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[tex]p =( 1.5x - 3) + (1.5x - 3) + (0.75x - 1) \\ = 1.5x + 1.5x + 0.75x - 3 - 3 - 1 \\ p= 3.75x - 7[/tex]

ABOVE IS THE SIMPLIFIED PERIMETER OF THE TRIANGLE.

Answer:

x = 7.2

Step-by-step explanation:

[tex]5(x - 3) = 21[/tex]

[tex]x - 3 = 4.2[/tex]

[tex]x = 7.2[/tex]

The weight of Brad is 70 lb and the weight of Sean is 150 lb now.

According to the question,

We have the following information:

Sean weighs 10 lb more than twice Brad’s weight. If Brad gains 10 lb, together they will weigh 230 lb.

Now, let's take Brad's weight to be x lb.

So, we have:

Sean's weight = (10+2x) lb

Now, when Brad gains 10 lb, we have the following expression:

(x+10)+(10+2x) = 230

3x+20 = 230

3x = 230-20

3x = 210

x= 210/3

x = 70 lb

Now, Sean's weight = (10+2x) lb

Putting the value of x:

Sean's weight = 10+2*70

Sean's weight = 10+140

Sean's weight = 150 lb

Hence, the weight of Brad is 70 lb and the weight of Sean is 150 lb now.

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Hello

To expand this, we will multiply the value outside the bracket with the one inside the bracket.

The answer to this question is -8x +17

value outside the bracket with the one inside the bracket.

Answer:negative

Step-by-step explanation:

Because it should be on the bottom left corner if you are using a graph it is different in each corners of the graph. There is four sides for the graph.

2.69%, is the required maximum percent error among the predictions.

Given,

The predicted winning time in 200 meter sprint shows in the dot plot

The winner finished the race in 22.3 seconds

We have to find the greatest percent error among the predictions;

Here,

The actual time to complete is 22.3 seconds.

22.9 seconds is the prediction that is the most off.

The difference is, 22.9 - 22.3 = 0.6 seconds

To obtain a prediction, divide this by the actual time value.

= 0.6/22.3 = 0.0269 = 2.69

Therefore, 2.69%, is the required maximum percent error among the predictions.

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The dimensions of the left triangle are equal to the right triangle's dimensions times 1/3.

Given,

The right triangle on the right is a scaled copy of the right triangle on the left.

The measure of first triangle = 3,4

The measure of second triangle = 2, 3/2

We have to find the scale factor

The figure indicates that the right triangle on the left would be three times larger than the right triangle on the right. In this case, the right triangle's dimension is one third of the left triangle's dimension.

The left one is three times bigger than the right one. In other words, the dimensions of the left triangle are equal to the right triangle's dimensions times 1/3.

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Answer:

Step-by-step explanation:

the answer would be the second option

Answer:

4(4x + 7)

Step-by-step explanation:

To answer this question you need to understand what GCF is

GCF is Greatest Common Factor

GCF is the highest number that divides exactly into two or more numbers.

The expression is 16x + 28

The highest number that can divide 16 and 28 is 4

Dividing 16x + 28 gives => 16x/4 + 28/4 => 4x + 7

So the factored expression is

4(4x + 7)

We know that the length of a rectangle is twice its width. Then:

The area of a rectangle is the product of its width and length. Then:

Additionally, we know that the area is 162 in². Using the expression above we can obtain the value of x:

Finally, the perimeter (2P) is just twice the sum of the width and the length of the rectangle:

Given equation of the line is

Dividing both sides of the above equation by -18, we get

The line cuts the x axis at (-9,0) and the y axis at (0,-3).

Therefore, the x intercept is -9 and the y intercept is -3.

The graph of the line is shown below.

Using the concept of inequality, it can be concluded that;

a) Maximum number of cargo boxes the forklift can carry is 16.

b) Maximum number of cargo boxes the forklift can carry when the carrying case is used is 14.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to contrast two numbers on the number line based on their sizes.

Let the no. of cargo box be x.

So the equation is 60x≤960

x≤960/60

x≤16

Now the 120 pound additional weight is needed so the equation is:

120 + 60x≤960

60x≤840

x≤14

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Given

Points (4,2) and (2,1)

Find

Slope of the line

Explanation

Slope of line is given by

so ,

Final Answer

Hence , the slope of line is m = 1/2

The number of feet from the tent pole to the rope along the ground will be 12 Feet.

Let:

        RQ = x

According to Pythagoras Theorem:

[tex]Hypotenuse^{2} = Perpendicular^{2} + Base^{2} \\PQ^{2} = PR^{2} + RQ^{2} \\15^{2} = 9^{2} + x^{2} \\225 = 81 + x^{2} \\x^{2} = 225 - 81\\x^{2} = 144\\x = 12[/tex]

Therefore, the number of feet from the tent pole to the rope along the ground will be 12 Feet.

Pythagoras Theorem is widely used to establish the relation between the three sides of a right-angled triangle. The applications of Phythagoras Theorem are the angle of depression, angle of elevation, etc. Even the Eiffel tower is one of its applications.

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Answer:

35

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 = 9 parts

divide 63 by 9 to find the value of 1 part of the ratio

63 ÷ 9 = 7 , then

4 parts = 4 × 7 = 28

5 parts = 5 × 7 = 35 ← larger share