The line plots represent data collected on the travel times to school from two groups of 15 students. A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10,16,20, and 28. There are two dots above 8 and 14. There are three dots above18. There are four dots above 12. The graph is titled Bus 14 Travel Times. A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9,18, 20, and 22. There are two dots above 6, 10, 12,14, and 16. The graph is titled Bus 18 Travel Times. Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer. Bus 14, with an IQR of 6 Bus 18, with an IQR of 7 Bus 14, with a range of 6 Bus 18, with a range of 7

PLEASE HELP I NEED TO SUBMIT BY 11:15 am today

There are 719 integers between 1 and 1000 that are not divisible by 3, 5, or 7.

1. 1000/3 = 333.333 (333 integers divisible by 3)

2. 1000/5 = 200 (200 integers divisible by 5)

3. 1000/7 = 142.857 (142 integers divisible by 7)

4. 1000 - (333 + 200 + 142) = 325

5. 1000 - 325 = 675

6. 675 + 333 + 200 + 142 = 1350

7. 1350 - 1000 = 350

8. 350/3 = 116.667 (116 integers divisible by 3 and 5)

9. 350 - 116 = 234

10. 234/7 = 33.429 (33 integers divisible by 7 and 5)

11. 234 - 33 = 201

12. 201/5 = 40.2 (40 integers divisible by 5 and 7)

13. 201 - 40 = 161

14. 161/3 = 53.667 (53 integers divisible by 3 and 7)

15. 161 - 53 = 108

16. 108/7 = 15.429 (15 integers divisible by 3 and 5 and 7)

17. 108 - 15 = 93

18. 1000 - (333 + 200 + 142 + 116 + 33 + 40 + 53 + 15) = 719

19. 719 number's between 1 to 1000 are not divisible by 3 or by 5 or by 7

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Answer:

m = 1/3

b = 1

Dashed

Below

Step-by-step explanation:

The equation of line p is y = ax + b then y = -2ax + b + 3 could be only the equation of line q out of the given options.

Therefore, the answer is C) y = -2ax + b + 3.

The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. So in case of line p, a is the slope and b is the y-intercept. Let equation of q by y = m'x + b'.

From the figure it is evident that line p has a positive slope while line q has a negative slope. So slope of q is negative of slope of line q multiplied by a positive constant, say c, then

m' = -2ac

From figure we can observe that y-intercept of p is 0 and q has a positive y-intercept, so

b' = b + k, k is a positive constant

So equation of q is y = -2acx + b + k, where c and k are positive constants. So only option C is of this format.

--The question is incomplete, answering to the question below--

"The equation of line p is y = ax + b. Which of these could be the equation of line q?

A. y = -2a(x + 3) + b

B. y = -2ax + b

C. y = -2ax + b + 3

D. y = -2ax + b - 3"

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The correct value of the expression is, 10.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

⇒ 5/8 × 16

Now,

Simplify the expression as;

⇒ 5/8 × 16

⇒ 5 × 2

⇒ 10

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The solution is Option D.

The inequality equation is x < -7

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

-6x > 42   be equation (1)

On simplifying the equation , we get

Divide by -1 on both sides of the equation , we get

6x < -42

Divide by 6 on both sides of the equation , we get

x < -42/6

On further simplification , we get

x < -7

So , the values of x are all integers which are less than -7 but not including -7

So , the values of x are = { -8 , -9 , -10 , ..... }

Therefore , the values of x are integers less than -7

Hence , the inequality equations is x < -7

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The equation of the line will be 8x+10y=0

The equation of a line when two points are given is

y-y₁=m(x-x₁)

where,m=(y₂-y₁)/(x₂-x₁)

Here, m=(4--4)/(-5-5)

            =8/-10

Now,

 y-(-4)  = (8/-10)(x-5)

-10y-40=8x-40

8x+10y=0

The equation is 8x+10y=0

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The approximate difference in the lengths of the two segments is given as follows:

3.2 units.

The coordinates of the points have the following format:

[tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex]

Hence the distance is given as follows:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The length of a segment is given by the distance between it's two endpoints.

Hence the length of segment LF is given as follows:

[tex]D_{LF} = \sqrt{(3 - (-2))^2+(1 - 3)^2}[/tex]

[tex]D_{LF} = \sqrt{29}[/tex]

[tex]D_{LF} = 5.4[/tex]

The length of segment JR is given as follows:

[tex]D_{JR} = \sqrt{(-3 - (-1))^2+(2 - 1)^2}[/tex]

[tex]D_{JR} = \sqrt{5}[/tex]

[tex]D_{JR} = 2.2[/tex]

Hence the distance is of:

5.4 - 2.2 = 3.2 units.

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In 7th-grade math, you can use  methods like using a protractor, angle addition, and subtraction, angle bisectors,complementary and supplementary angles, properties of parallel lines, and using triangles to find angles:

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Answer:

65 Adults and 106 children

Step-by-step explanation

a= adults

c= children

2.5a+1.5(171-a) =321.5

a=65

now we have the number of adults we minus that by the amount of people (171) to give us for the number of children and we get 106.

By using Pythagorean theorem to find the length of the hypotenuse, we get the answer as hypotenuse of 115

A Pythagorean triple is a set of three positive integers a, b, and c that satisfy the equation a^2 + b^2 = c^2, where c is the length of the hypotenuse and a and b are the lengths of the legs of the right triangle.

In a right triangle, the hypotenuse is the side that is opposite the right angle. It is the longest side of the triangle and it is always opposite the 90-degree angle. The other two sides of the right triangle are called the legs, and they form the right angle.

we can use the Pythagorean theorem to find the length of the hypotenuse:

a^2 + b^2 = c^2

82^2 + 80^2 = c^2

6724 + 6400 = c^2

c = √(6724 + 6400) = √13124

c = 114.74

Since all three sides of the triangle have to be integers and the hypotenuse is the one that should have the largest value, we can round the value of c up to 115

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The principal money that will be deposited to accumulate 100,000 is 1 000 000 at 1% simple interest for 10 years

The principal is calculated using the simple interest formula

The formula is stated as

Simple interest = Principal *  time *  rate / 100

In the problem the give data include

principal = ?

rate= 1%

time = 10 years

plugging in the values

Simple interest = Principal *  time *  rate / 100

100 000 =  P * 10 * 1 / 100

10 000 000 =  P * 10

P = 1000 000

The principal is 1 000 000

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Answer:

x = 9

Step-by-step explanation:

8 = 12k  Divide both sides by 12

k = 2/3

6 = 2/3 x  Multiply both sides by 3/2

x = 9

The 40th term of the sequence is 35 if the nth term is given as -5 + n.

Given,

nth term, aₙ = - 5 + n or n - 5

For 40th term n = 40

or 40th term = a₄₀ = 40 - 5

a₄₀ = 35

Therefore, the 40th term of the sequence is 35, if the nth term is given as -5 + n.

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To solve an exponential equation, you need to find the values of the variables that make the equation true. Here are some steps you can follow:

Identify the base of the exponential function. This will usually be denoted by a letter such as "b" or "a".

Move all the terms that do not contain the exponential function to one side of the equation.

Isolate the exponential function on the other side of the equation.

Use the properties of exponential functions to simplify the equation. For example, you can use the fact that b^x * b^y = b^(x+y) when b is the same in both exponents.

Solve the equation by finding the values of the variables that make the equation true.

For example, consider the equation 3^x = 9. To solve this equation:

The base of the exponential function is 3.

Move the 9 to the right side of the equation: 3^x - 9 = 0

Isolate the exponential function on the left side: 3^x = 9

Use the property of exponential functions to simplify: 3^2 = 9

Solve for x: x = 2

The solution to the equation is x = 2.

To solve an exponential equation, you need to first identify what the base and the exponent are. The base is the number being multiplied by itself and the exponent is the number of times it is being multiplied.

Next, you will need to use the property of exponents that states that if the bases are the same, you can set the exponents equal to each other. For example, if you have the equation 3^x = 9, you can set the exponents equal to each other and solve for x by dividing both sides by 3. This gives you x = 2.

If you have an equation with different bases, you will need to use logarithms to solve it. Logarithms are the inverse of exponents, meaning that if you take the logarithm of an exponential equation, it will turn it into a linear equation that you can solve using algebra.

For example, if you have the equation 2^x = 8, you can take the logarithm of both sides to get x = (2^x) = (8). Since (2) = 0.301, and (8) = 0.903, you can solve for x by dividing both sides by (2) to get x = 3.

Overall, solving exponential equations requires a combination of understanding the properties of exponents and using logarithms to turn the equation into a form that you can solve using algebra.

Answer:

See picture

Step-by-step explanation:

The linear function is a = -16d + 84

You do not have enough money to buy the​ sweatshirt.

The general form of a linear function is y = mx + b

where m is the rate of spending and b is the starting money

Given that: you go on a 4​-day vacation and bring ​$84 for spending money. You spend ​$16 each of the first 3 days.

m = -16 (negative because spending means decrement), b = 84, y = a (amount of​ money left) and x = d (days).

Thus, the linear function will be:

a = -16d + 84

On the last day, d = 4. Thus, the amount left will be:

a = -16d + 84

a = -16(4) +84

a = -64 + 84

a = $20

The amount left is $20 (which is less than $38). Therefore, you do not have enough money to buy the​ sweatshirt.

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The total number of miles will Samantha have covered when Anthony catches her is 75 miles.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

The distance that Samantha covers before Anthony starts = Rate * Time

So, 12 * (1 + 1/4)hrs =12 * (1.25)  =  15 miles

And each hour the distance that he closes on Samantha =  15 - 12  =  3 miles

Thus, the time it will take to catch her =

Distance Samantha is ahead  /  Distance Anthony closes per hour  = 15/3 = 5 hours

Thus, the total number of miles will Samantha have covered when Anthony catches her is 15*5 = 75 miles.

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Samantha have covered the distance of 15 miles when Anthony catches her.

Here we have given that Samantha begins biking at 12 mph from the center of town towards the ocean at 12:00 noon.

Here we also know that later that day, at 1:15 pm, the person called Anthony begins biking along the same route as Samantha at 15 mph.

Here we have to note that the distance that Samantha covers before Anthony starts,

Then it can be written as,

=> Rate * Time

When we apply the values on it, then we get

=> 12 * (1 + 1/4) hours

When we simplify this one then we get

=> 12 * (1.25)  =  15 miles

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The set of vertices A(-1, 1), B(2, 2), C(5, 1), D(4,1) forms a parallelogram.

What is a parallelogram?

A parallelogram is a four-sided polygon with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other, and the opposite angles are also equal. In a parallelogram, opposite sides are also congruent, opposite angles are also congruent and consecutive angles are supplementary.

B. A(-1, 1), B(2, 2), C(5, 1), D(4,1) forms a parallelogram.

In a parallelogram, opposite sides are parallel and equal in length. In this case, AB is parallel to CD and has the same length, and AD is parallel to BC and also has the same length. This means that all the conditions for a parallelogram are met and therefore, the set of vertices A(-1, 1), B(2, 2), C(5, 1), D(4,1) forms a parallelogram.

Hence, The set of vertices A(-1, 1), B(2, 2), C(5, 1), D(4,1) forms a parallelogram.

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Answer:

x=20

Step-by-step explanation:

6x-5+x+8+2x-3=180

6x+x+2x-5+8-3=180

9x=180

x=20

Answer:

x=20

Step-by-step explanation:

1. Add all like terms together.

(9x=180)

2. Then divide 9 to isolate the variable.

(x=20)

The probability that Mark would hit the target with every shot when he fires 1 arrow is 0. 914 arrows.

The probability that Mark would hit the target with every shot when he fires 2 arrows is 1. 8 arrows

The probability that Mark would hit the target with every shot when he fires 3 arrows is 2. 7 arrows

To find the probability that Mark is able to hit the target, look at the probability from when 500 arrows were fired :

= 457 / 500

= 0. 914

= 91. 4 %

If Mark fires 1 arrow, the probability that he hits the target is 0. 914 arrows:

If Mark fires 2 arrows, the probability that he will hit the target is 1. 828 arrows:

= 0. 914 x 2

= 1. 828

If Mark fires 3 arrows, the probability that he will hit the target is 2. 7 arrows:

= 0. 914 x 3

= 2. 7 arrows

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All the possible values of each expression is given as an inequality as;

1 < a/b < 5

We are given the inequalities of the domain and range as;

2 < a < 5

1 < b < 2

Thus, we can say that the maximum value of a/b will be the division of  the maximum value of a by the minimum value of b to give;

(a/b)max = 5/1

(a/b)max = 5

Similarly, minimum value of a/b will be the division of  the minimum value of a divide by the maximum value of b to give;

(a/b)min = 2/2

(a/b)min = 1

Thus, all possible values would be expressed as;

1 < a/b < 5

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c. Seismic waves are refracted and reflected at two distinct boundaries within the Earth.

d. The mantle contains sixty-seven percent of the Earth's mass and eighty percent of its volume

e. A Dan/ish scientist studying earthquake waves generated in inner core discovered that coming  P' waves directly through the Earth speed up at a depth of 5140 kilometers.

f. The mantle is composed of iron, calcium, sodium, potassium aluminum, silicon and oxygen compounds.

g. Sir Isaac Newton's explanation of force of gravity helped him determine that the rocks inside the Earth were denser than the rocks on the surface of the Earth.

h. Scientists found that the travel time of earthquake waves differ greatly from predicted travel times if the Earth were of homogenous composition.

i. The mantle lies between the crust and the core and is divided into three regions.

j. When the Earth was forming the dense materials sank into the core and the lighter materials rose toward the surface

Material suddenly moving within the Earth, such as when an earthquake causes a fault to slip, produces seismic waves.

Landslides, volcanic eruptions, explosions, and so on are instances of movement of materials which results to seismic waves

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The unit price at Snacks and Healthy are $5.25 and $5.4 respectively.

Generally speaking, a unit price can be defined as the price that is being charged by a seller for the sale of a single unit of product.

In order to determine the unit price, we would determine the unit rate for the cost per pound bag of mixed nut by using the following mathematical expression;

Unit price = Cost of a pound bag of mixed nuts/number of nuts

Substituting the given parameters into the unit price formula, we have the following;

Unit price for Snacks = 15.75/3

Unit price for Snacks = $5.25.

Unit price for Healthy = 13.50/2.5

Unit price for Healthy = $5.4.

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Complete Question:

Snacks and more sells a 3-pound bag of mixed nuts for $15.75. Healthy snacking sells a 2.5-pound bag of mixed nuts for $13.50. What is the unit price at Snacks and Healthy?

Answer:

the first answer is 18, the second is -16, the third answer is 26, and the last is 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

something

Answer:

X = 3

Step-by-step explanation:

this is a vertical line passing through x = 3.

Answer:

Step-by-step explanation:

52496 + 44929 + 35824 = 133,249 people

Answer:

$109.23

Step-by-step explanation:

Discount = 128.5 × 15/100

Discount = 128.5 x 0.15

You save = $19.28

Final Price = Original Price - Discount

Final Price = 128.5 - 19.275

Final Price = $109.23

The value of s, considering that quadrilateral DEFG is a rhombus, is given as follows:

s = 55.

To obtain the value of S, we must consider triangle CED, and the fact the sum of the measures of the internal angles of a triangle is of 180º.

The measures of the internal angles of triangle CED are given as follows:

As the sum of the measures of the internal angles of a triangle is of 180º, the measure of angle E is given as follows:

90 + 60 + <E = 180

150 + <E = 180

<E = 30º.

As <E = s - 25, the value of s is obtained as follows:

s - 25 = 30

s = 30 + 25

s = 55.

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