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Answer:

4.) 5.3333333....

Step-by-step explanation:

Rational numbers are either repeating decimals:

[tex]\frac{1}{3}= 0.333333333....[/tex]

Include terminating decimals:

[tex]\frac{1}{8}= 0.125[/tex]

Are all numbers that can be written as a quotient of integers:

[tex]\frac{a}{b},b\neq 0[/tex]

Options (1), (2), and (3) are neither repeating, terminating, and can't be written as a quotient of integers.

Option (4) has repeating decimals, so this is rational.

:Done

The car's position can be described with the linear function below:

y = (-48.7 mi/h)*x + 400 mi

We know that the car is initially at a distance of 400 miles from Yuma. We also know that the car moves at a constant rate (steady speed) then its position will be described by a linear equation:

y = a*x + b

Where y is the distance, a is the slope and b is the y-intercept.

Knowing the initial distance, we can write:

y = a*x + 400mi

And we know that after 7 hours, the car is at 59 mi, then we can write:

59 mi = a*7h + 400mi

59mi - 400mi = a*7h

-341 mi = a*7h

-341mi/7h = a

-48.7mi/h = a

Then the equation that describes the distance from Yuma is:

y = (-48.7 mi/h)*x + 400 mi

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Answer:

y=-50x+400

Step-by-step explanation:

Took the text

Answer:

24 hours per day

Step-by-step explanation:

Answer:

295,245

Step-by-step explanation:

It is always multiplying by 3.

5, 15, 45, 135, 405, 1215, 3645, 10935, 32805, 98,415, 295245

Answer:

885735

Step-by-step explanation:

Answer:

10 spiders

18 grasshoppers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is  C

Step-by-step explanation:

The  sample  

                                                                                          Household Income

                                                                                     < $60,000    > $60,000

I would never purchase a newspaper subscription.          40                63

I might or might not purchase a newspaper subscription. 53                70

I would probably purchase a newspaper subscription.     65                 32

I already purchase a newspaper subscription.                   73                 16

Generally the sample size is mathematically represented as

       [tex]n = 40 + 53 + 65+ 73 + 63 + 70 + 32+ 16[/tex]

=>    [tex]n = 412[/tex]

Generally the number of the sample with an income greater $60,000 is mathematically represented as

        [tex]N = 63 + 70 + 32 + 16[/tex]

=>     [tex]N = 181[/tex]

Generally the number of  families with an income more than $60,000 who might or might not purchase a newspaper subscription is

      [tex]X = 70[/tex]

Generally the percentage of families with an income more than $60,000 who might or might not purchase a newspaper subscription is

           [tex]P(X) = \frac{70}{181} * 100[/tex]

=>        [tex]P(X) = 39\%[/tex]

Answer:

63.84

Step-by-step explanation:

Answer:

63.84

Step-by-step explanation:

Multiply both numbers without the decimal point then move the decimal point 2 places to the left.

Answer:

Step-by-step explanation:

Given

amount of  salamanders, = 5

amount of crayfish = 3

amount of minnows = 12

Total fish = Total outcome = 5+3+12

Total outcome = 20

Since we are looking for the probability of selecting  salamanders, our expected outcome will be 5.

Probability = expected outcome/total outcome

Pr( salamanders,) = 5/20

Pr( salamanders) = 1/4

Hence the probability of selecting  salamanders, is 1/4

Answer: 3:20

Step-by-step explanation: There are 6 blue marbles. Altogether, there are 40 marbles. So it would be 6:40, which simplifies to 3:20.

Answer:

-6.3 degrees

Step-by-step explanation:

First I formed the equation 10.4-16.7=x, which the answer came to be -6.3 degrees.

What you have so far is correct.

Problem 7 is a function because none of the x values repeat. Each x input goes to exactly one y output. The y values can repeat. If the y values repeat, then we don't have a one-to-one function.

In contrast, problem 8 is not a function. We have x = 1 go to y = 8 and y = 6 at the same time. This is one example showing we don't have one output for a given input.

Answer:

The measure of angle MNP is

m ∠ MNP =  (x - y)/2

Explanation:

The image attached shows the figure corresponding to this question.

The angle MNP, which is also the angle LNP, is formed by the intersection of a secant and a tangent to a circle.

Then, you can use the theorem:

the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.

The major arc formed is identified with the letter x and the minor arc is identified with the letter y. Thus, the measure of the angle MNP is half the difference x - y:

m ∠ MNP = (x - y)/2

Brainleist please

Answer: 30/4

Step-by-step explanation:

I cannot see the text. If you take another picture zoomed in I will answer it.

Answer:

The country Australia had the greatest percentage of its students report being right hand dominant with approximately 86%

Answer:

7

Step-by-step explanation:

ΔABM and ΔDCM

4x - 1 = 3x + 6

4x - 3x = 6 + 1

x = 7

Answer:

C. 7

Step-by-step explanation:

Find the diagram to the question attached. Two congruent triangles has all its sides to be equal. This means that the sides of ΔABM will be equal to that of ΔDCM (SSS rule).

Given

BM = 3x+6

MC =4x-1

Since both triangles are congruent, then BM = MC

Next is to get x;

3x+6 = 4x-1

collect like terms'

3x-4x = -1-6

-x = -7

multiply through by -1

-(-x) = -(-7)

x = 7

Hence the value of x that will make triangles ABM and DCM congruent is 7

Answer:

125 pages

Step-by-step explanation:

Since 80 is 64% of unknown x we can write the equation 80/x=64/100. Now cross multiply to get 8000=64x. Divide both sides by 64 to get 125=x.

The greatest common factor of 36 and 64 is 4.

Here,

To find the greatest common factor (GCF) of 36 and 64,

we can use the prime factorization method:

Step 1: Find the prime factorization of each number.

Prime factorization of 36:

36 = 2 * 2 * 3 * 3

Prime factorization of 64:

64 = 2 * 2 * 2 * 2 * 2 * 2

Step 2: Identify the common prime factors and their lowest exponents.

Common prime factors: 2 * 2

Step 3: Multiply the common prime factors with their lowest exponents.

GCF(36, 64) = 2 * 2 = 4

So, the greatest common factor of 36 and 64 is 4.

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Answer: use a calculator or ask for help

Step-by-step explanation:

Answer:

P = 2(l + w)

P = 2l + 2w

Answer:

100

Step-by-step explanation:

12x - 4 + 13x + 9 = 180

25x + 5 = 180

25x = 175

x = 7

13(7) + 9 = 100

Answer: 15

Step-by-step explanation:

Answer:

[tex]C) 1210m^2[/tex]

Step-by-step explanation:

Initial Length of the rope (r) = 12 m

Final length of the rope (R) = 23 m

[tex]Additional\ area\ acquired\ = Final Area- Initial Area\\=\pi R^2- \pi r^2\\=\pi (R^2-r^2)\\=\pi (23^2-12^2)\\=\pi (529-144)\\=\pi (385)\\=385\pi \\\\As\ \pi = \frac{22}{7} \\\\Hence,\\385\pi \\=385 * \frac{22}{7} \\=55*22\\=1210 m^2[/tex]

Answer:

the slope for a is [tex]\frac{12}{3}[/tex] but in simplest form 4

the slope for b is 0

Step-by-step explanation:

hope this helped :-)

Answer:

On the number line:

a) 0.6666666667 scoops per powder

b) 0.625 scoops per powder

Step-by-step explanation:

For the Noah and Andres question:

To make orange fizz Noah mixes 4 scoops of powder with 6 cups of water.

Unit rate = scoops per cup

= 4 Scoops/6 cups

= 2/3 scoops per powder

= 0.6666666667 scoops per powder

Andre mixes 5 scoops of powder with 8 cups of water what would that look like on a double number line?

Unit rate = scoops per cup

= 5 Scoops/8 cups

= 0.625 scoops per powder