9. Is the relationship shown by the data linear? If so, model the
data with an equation.

Answer:72 miles

Step-by-step explanation:

You have to divide 5 by 1 then 360 by 5 and then get 72

The answer would be {3, 5, 7, 9, 11, 13, 15}.

Answer:

The other answer is wrong the correct answer is {3, 5, 7, 9, 11, 13}

Step-by-step explanation:

Odyssey

Answer:

5/6 + 4/9 = 23 / 18

= 1 5/18

Step-by-step explanation:

Answer:

His car's speed rate to the nearest thousandth of an hour is 100.489

Step-by-step explanation:

First: This is the only step, round the speed rate to the nearest thousandth:

When rounding always look at the place value they're telling you to round to and the place value to the right of it. Since, the question wants us to round to the nearest thousandth, look at the thousandths place but more specifically the place value to its right. The thousandths is the third digit behind the decimal point and the one to its right would be the fourth.

100.4893

So, if the number to the thousandths' right is less than 5 turn that number into a zero and keep the rest of the number the same. If the number is greater than or equal to 5 round up by making the number in the thousandths place a digit bigger.

Since 3 is smaller than 5, we'll turn the 3 into a zero and keep the rest the same.

100.4890

Since the zero is behind the decimal point and it is the number farthest to the left we can take it out.

100.489

Thank you for reading

Topic: Rounding, Place Value

Answer:85.15

Step-by-step explanation:

Answer:

Any number plus 0 is the same as the first number.

Step-by-step explanation:

6 + 0 = 6, 8 + 0 = 8,9+ 0 = 9, 100 + 0 = 100.

Conclusion: Any number plus 0 is the number.

For example: x + 0 = x

x is the number.

Answer: 0

Step-by-step explanation:

100+0=100.

Just basic addition too. 100+0=100. That simple.

No other number can give off 100 like 0 can. 100 plus 0 just gives it the number itself.

Just like how 6+0=6. 6 is just being added to itself.

So, your answer for this is 0. No other number can give off a better answer than the 0 for this problem.

Bada bing bada boom! I hope this helps you!

Answer:

A=78

B=102

C=78

Step-by-step explanation:

A= a and 102 are on a straight line so they add up to 180. 180-102=78. The same goes for C

B= the vertical angle for 102, or the same thing with a and c, just flipped around

Answer:

$159.95

Step-by-step explanation:

Let price of trumphet be defined by [tex]x[/tex]

price of clarinet = $139.95

Number of clarinets sold = 19

Earning through clarinets' sale = [tex]19*139.95 = 2659.05[/tex]

Total earning of store = $4578.45

Earning through trumphets' sale = [tex]4578.45 - 2659.05 = 1919.40[/tex]

price of one trumohet = [tex]\frac{1919.40}{12} = 159.95[/tex]

price of clarinet = $159.95

The unit of measure that is more accurate for measuring the height of a door in feet and inches is inches.

The unit of measure that is more accurate for measuring the height of a door in feet and inches would be inches. This is because inches provide a smaller unit of measurement, allowing for more precise measurements. To convert the height of a door from feet and inches to inches, you can multiply the number of feet by 12 and add the number of inches. For example, if a door is 6 feet 2 inches tall, you would multiply 6 by 12 to get 72 inches, and then add 2 inches to get a total height of 74 inches.

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Answer: zero and zero nineteenth thousandths

Step-by-step explanation:

The number 0.019 in expanded form is written as 0.010 + 0.009, which represents one-hundredth and nine-thousandths respectively.

The student is asking for the number 0.019 to be written in expanded form. Expanded form is a way to break down a number to show the place value of each digit. The number 0.019 in expanded form can be written as:

0.010 + 0.009

The first 0.010 represents one-hundredth and the second 0.009 represents nine-thousandths.

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Step-by-step explanation:

Example: (1,4) (2,5) (3,4) triangle

Stretch by 1/3, shift up 4, and left 5

Find the area of the triangle/square/shape.

Multiply by 1/3

Move the answer by 4 spaces up.

Then, to the left.

Answer:

Possibly 17 and 22.

Step-by-step explanation:

17 plus 22 equals to 39.

22 is five more than 17.

The two numbers are 17 and 22 whose sum is 39.

A numerical expression is in form of numbers and variables separated by the operation of addition and subtraction.

Given that the sum of two numbers is 39.

Also given that the larger number is 5 more than the smaller number.

Assuming the smaller number to be 'n'.

∴ The larger no. is (x+5).

So, the given statement can be written as,

x + (x+5) = 39.

2x + 5 = 39.

2x = 39 - 5.

2x = 34.

x = 34/2.

x = 17.

So, the larger number is (5+17) = 22.

learn more about numerical expression here :

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Answer:

x = -7

Step-by-step explanation:

-6(8 + 7x) = -342

-48 + 42x = -342

42x = -294

x = -294/42

x = -7

Answer is provided in the image attached.

Answer: No solution

Step-by-step explanation:

9-(-8)=20             given

9+8=20                the two negatives cancel out, making the eight positive

17=20                   this statement is not correct, so the answer is no solution

no solution

I'm not sure if there was supposed to be a variable in there somewhere, but I did my best to explain. Hope this helps!

Answer:

9 -( -8)= 9 + 8= 17 not 20

17 is the solution

Answer:

c

Step-by-step explanation:

72

Final answer:

The angle of rotation for rotational symmetry of a regular pentagon is 72°, which is found by dividing the full rotation of 360° by the number of sides (5).

Explanation:

The angle of rotation for rotational symmetry of a regular pentagon is the angle you rotate the pentagon until it looks exactly the same as it did before the rotation. A regular pentagon has five sides that are all of equal length, and the amount of rotation required to bring one vertex to the position of the next is 360° divided by the number of sides. Therefore, the angle of rotation for a regular pentagon is 360°/5, which equals 72°.

Represent it as N+3/2.

☺Happy to help!

Answer:

z=2x+3

z-3=2x

x=z-3/2

Answer:

[tex]\large\boxed{x=\dfrac{2}{5}=0.4}[/tex]

Step-by-step explanation:

[tex]x:6=10:150\\\\\dfrac{x}{6}=\dfrac{10}{150}\qquad\text{cross multiply}\\\\150x=(6)(10)\\\\150x=60\qquad\text{divide both sides by 150}\\\\\dfrac{150x}{150}=\dfrac{60}{150}\\\\x=\dfrac{60\!\!\!\!\diagup}{150\!\!\!\!\diagup}\\\\x=\dfrac{6:3}{15:3}\\\\x=\dfrac{2}{5}=0.4[/tex]

Answer: 9.25

Step-by-step explanation:

Answer:

−9.25

Step-by-step explanation:

Since the fraction is negative, the decimal equivalent is negative, too. Divide 74 by 8. The answer is −9.25.

Answer:

5x^4 - 37x^3 - 6x^2 + 41x - 6

Step-by-step explanation:

Answer:

The change in the index is - 69/50

Step-by-step explanation:

* Lets explain what is the rational number

- A rational number is a number that can be expressed as a fraction

 a/b where a and b are integers and b ≠ 0

- A rational number have numerator and denominator

- Whole numbers, integers, fractions, terminating decimals and

 repeating decimals are all rational numbers

- The rational numbers includes all positive numbers, negative

  numbers and zero that can be written as a fraction

- To convert a Decimal to a Fraction follow these steps:

# Write down the decimal divided by 1

# Multiply both top and bottom by 10 for every number right the

  decimal point

# Simplify (or reduce) the fraction

* Lets solve the problem

- A stock market index drops by 1.38 points

- We need to find the rational number represents the change in

 the index

∵ Drop means the stock is become less

∴ The value of change will be negative

∵ The stock is drops by 1.38

∴ -1.38 = -1.38/1

- Multiply up and down by 100 because there are 2 digits right the

 decimal point

∴ -1.38 = -138/100

- Divide up and down by 2

∴ -1.38 = - 69/50

∴ The change in the index is - 69/50 (-1.38)

Answer: [tex]\dfrac{69}{50}[/tex]

Step-by-step explanation:

A rational number is in the form of [tex]\dfrac{p}{q}[/tex] , where [tex]q\neq0[/tex]. and p and q are integers.

Given : A stock market index drops by 1.38 points.

To convert 1.38 into rational , we divide and multiply it by 100 ( 1.38 is decimal expression up to hundredth) , we get

[tex]1.38\times\dfrac{100}{100}=\dfrac{138}{100}[/tex]

Now , we divide  numerator and denominator by 2 , we get

[tex]\dfrac{69}{50}[/tex]

Hence, the rational number represent the change in the index is [tex]\dfrac{69}{50}[/tex].

Bob has 1 more marble than Kayla, calculated by subtracting Kayla's marble count from Bob's.

To determine how many more marbles Bob has than Kayla, we can subtract Kayla's number of marbles from Bob's. The calculation is straightforward: [tex]\(6 - 5 = 1\)[/tex]. Therefore, Bob has 1 more marble than Kayla.

In a visual representation of their marbles, Bob has 6 marbles, Malik has 3 marbles, and Kayla has 5 marbles. To find the difference between Bob and Kayla, we subtract Kayla's count from Bob's. The result, 1, indicates the additional marble Bob possesses compared to Kayla.

This is a simple arithmetic operation that reflects the concept of finding the difference between two quantities. In this case, the subtraction represents the surplus marbles that Bob has in comparison to Kayla. The positive result suggests that Bob has an extra marble beyond what Kayla possesses.

In summary, Bob has 1 more marble than Kayla, as determined by subtracting Kayla's marble count from Bob's. This simple arithmetic operation provides a clear understanding of the numerical difference in their marble quantities.

The question probable maybe:

(Given in the attachment)

Answer:

Because they are

Step-by-step explanation:

they ar4

Triangles are similar if their angles are congruent, supported by the AAA theorem. The similarity of triangles implies that the corresponding side lengths are proportional, which can be expressed algebraically or in words.

To justify that the triangles are similar, we look for congruent angles and proportional sides. The student indicated that the triangles have the same angles, which satisfies the AAA (Angle-Angle-Angle) similarity theorem. Because the angles are congruent, the sides are proportional, which means the ratios of corresponding sides are equal.

With words, we can express the relationship of corresponding lengths in similar triangles as the ratio of one triangle's side lengths to the other's. Algebraically, if we have corresponding sides a, b, and c from Triangle 1, and sides d, e, and f from Triangle 2, then a/d = b/e = c/f.

To solve for an unknown quantity, we algebraically isolate the variable in our equation, plug in the known values, calculate the answer, and then check to ensure the result is reasonable. For example, if we know sides a, b, d, and e, and we want to find side c, we would set up the proportion c/f = a/d, and after substituting the known values, we solve for c.

Answer:64<84

Step-by-step explanation:

Answer:

3 / 4

Step-by-step explanation:

To find the cost of a single cinema ticket, multiply the amount each friend paid, £6.15, by 4 to get the total cost for 3 paid tickets. Divide this total, £24.60, by 3 to find that the cost of one ticket is £8.20.

The question pertains to a group of 4 friends who buy cinema tickets using an offer where they buy 3 tickets and get 1 free. Since each friend pays £6.15, we need to determine the actual cost of a single ticket.

Under the offer, they are buying a total of 4 tickets for the price of 3. Therefore, we can calculate the cost of 3 tickets by multiplying £6.15 by 4, which gives us a total of £24.60. To find the cost of a single ticket, we divide the total cost of £24.60 by the number of tickets bought, which is 3.

Here is the calculation step:
Total cost for 4 friends = 4 × £6.15 = £24.60
Cost of a single ticket = [tex]\frac{24.60}{3}[/tex] tickets = £8.20

Therefore, the cost of one ticket without the offer is £8.20.

Answer:

Step-by-step explanation:

Because a square has equal lengths on a side so finding the area of the square would just be the number on one side multiplied by itself so they decided to call it four squared.

The term 'four squared' refers to the mathematical expression 42, which represents the number four multiplied by itself resulting in 16. It also reflects the area of a square with side lengths of four units, illustrating the foundational concept of squaring numbers in geometry and algebra.

The term 'four squared' refers to the mathematical expression 42, which equals 16. This expression is the result of multiplying the number four by itself. In mathematics, squaring a number represents the area of a square with sides of that specific length. For example, a square with sides of 4 units has an area of 16 square units because the length of one side (4) is multiplied by the width, which is also 4 (since all sides of a square are equal). Hence, four squared (4 x 4) equals 16.

Another representation of this concept comes from geometry and the visualization of physical space. A square with a side length of 2 units, for instance, has an area of 22 or 4 square units because it has four equal divisions, each 1 unit by 1 unit. So when we talk about 'four squared', we're discussing an area that's four times larger than the original 2 x 2 square.

The concept of numbers being squared is foundational to algebra and geometry. The phrase 'four squared' is an embedded term in mathematics that signifies the squaring operation, which is critical for finding areas of squares and also is applied in various mathematical laws and properties, such as the Pythagorean theorem.

Answer:

Set each factor equal to 0

4x-3 = 0

2x-1 = 0

Solve for x.

4x-3=0

4x=3

x= 3/4

Solve for x. 

2x-1= 0

2x= 1

x= 1/2

Eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

Answer:

its d

Step-by-step explanation: