Help me solve this!!

The proportional relationships that model each relation are given as follows:

A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality represented by k, according to the equation below:

y = kx.

Both items in this problem are represented by direct proportional relationships, we just have to identify the constants then graph the relations.

The graph of a proportional relationship is linear with slope given by the constant and intercept at 0, hence the graphs for each item are given at the end of the answer.

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Andy hired the carpet cleaner for 9 days, bringing the total cost to £82.20.

An equation is an expression that shows the relationship between two or more numbers and variables. Dependent variables depend on other variable while an independent variable .

Let y represent the amount of money paid to the carpet cleaner for working x days. Multiply the number of days by 7.8 and then add 12, Hence:

y = 7.8x + 12

For a total cost of 82.20

82.2 = 7.8x + 12x  = 9.

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The mean hourly snowfall is (5/3) centimeters per hour, which means that each hour there are 5/3 centimeters more of snow.

The mean hourly snowfall is given by the quotient between difference between the total snowfall at the two given times and the total time.

Here we have:

Initial snowfall = 2cm

Final snowfall = 7cm

Difference = 7cm - 2cm = 5cm

And that happens between 1 P.M. and 4 P.M., so we have 3 hours.

Then the mean hourly snowfall is:

M = 5cm/3h = (5/3) centimeters per hour.

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Aaron Rodgers salary is 2.19×[tex]10^1^1[/tex] greater than his backups.

To find how many times a quantity x is greater than y we do subtraction. That is we do [tex]x-y[/tex].

So, here Aaron's salary is given to be $ 2.2× [tex]10^1^0[/tex]

And his quarterback's salary is $ 6.3×[tex]10^5[/tex].

Thus the difference between salaries= 2.2×[tex]10^1^0[/tex] - 6.3 × [tex]10^5[/tex]

                                                            = 2.19×[tex]10^1^1[/tex]

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Using the distance formula, Jet will take 2.2 hours to catch up with the airplane.

We will find the solution using distance formula.

distance formula is a formula that is used to find the distance between two points. These points can be in any dimension.

d=rt where

d is distance r is rate or speed and t is time

"distance airplane traveled" = "distance jet traveled"

Let x = hours "airplane" was flying

x-1 = hours "jet" was flying

.

180x = 330(x-1)

180x = 330x - 330

180x + 330 = 330x

330 = 150x

330/150 = x

2.2 hours = x

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The correct option is A: None; the mode stayed the same.

Mode of a data set is the value that occur most frequently in a data set.

There may be no mode, one mode or more than one mode for a data depending on the number of times values are repeating.

Given that before Samuel taking a test,

Mean = 84.6

Median = 82

Mode = 88

After Samuel took the test,

Mean = 84

Also given that, his score was different from every other students’ score.

This means that from the data of scores, Samuel's score is not repeating.

Mode is the most repeating element.

So Samuel's score does not effect the mode and thus stayed the same.

Hence the mode stayed the same.

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Answer: 9

Step-by-step explanation:

Answer:

B 2x² - x - 2

Step-by-step explanation:

When x²+x-3  is subtracted from 3x² - 5

We get (3x² - 5) - (x² + x - 3)

==> step 1 remove parenthesis and change signs

3x² - 5 - x² - x + 3

==> step 2 combine like terms

2x² - x - 2

Remember like terms are terms with the same variable and degree.

For example 3a² and 5a² would be like terms because both terms have a variable of "a" and a degree of 2

Answer:

2/15 mile per minute

Step-by-step explanation:

8 miles in 60 minutes is equivalent to 8/60 miles per minute

= 2/15 mile per minute

Answer:

Step-by-step explanation:

60/8=7.5

Answer:

3 us cups

Step-by-step explanation:

multiply by 2

Answer: 2.25 x 10^18

Step-by-step explanation:

When dividing with exponents you subtract

56-38= 18

10 cancels out

(9 x 10^18) / 4

= 2.25 x 10^18

Range = 15

Variance = 24.5Explanations

Standard deviation = 5.0

The formula for calculating the range is expressed as:

Range = Highest value - Lowest value

Range = 24 - 9

Range = 15

Calculate the variance

The formula for calculating the variance is expressed as:

Find the mean

Determine the variance

Determine the standard deviation

-5 is the common difference of the arithmetic sequence.

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15. The nth term of an arithmetic progression is determined using the arithmetic sequence formula. The series where the common difference between any two next words stays constant is known as an arithmetic sequence.

Given Data

Arithmetic sequence

-19, -14, -9

Common difference = a₂ - a₁

Common difference = -14 - (-19)

Common difference = -14 + 19

Common difference = -5

-5 is the common difference of the arithmetic sequence.

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Using the arithmetic operations, the total change in her monthly electric bill over 5 months is +$10.58

For the past 5 months,

The change in her July electric bill = +$18.02

The change in her August electric bill =  +$1.03

The change in her September electric bill = -$0.44

The change in her October electric bill = -$6.84

The change in her November electric bill = -$1.19

The total change in her monthly electric bill over 5 months = Sum of all changes in her electric bill over 5 months

= +18.02+1.03-0.44-6.84-1.19

= +$10.58

Hence, the total change in her monthly electric bill over 5 months is +$10.58

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Answer:

-1(x - 5)x

Step-by-step explanation:

7x2 - 5x + 10x -8x2

7x2 + 5x -8x2

7x2 + 5x - 8x2

-1x2 + 5x

-1x2 + 5x

-x2 + 5x

7x2 - 5x + 10x - 8x2

-1 (x2 - 5x)

-1 (x2 - 5x)

-1(x - 5)x

-1(x - 5)x

Answer:

x = 23 degrees

Step-by-step explanation:

Angle on a straight line = 180 degrees

therefore 180 - 75 = 105 degrees

105 + 52 = 157 degrees

Angle in a triangle is 180 degrees

therefore 180 - 157 = 23 degrees

Check the picture below.

Answer:

The first number is 10

The middle number is 11

The last number is 12

Answer:

a) 81

b) 16807

c) 100

d) 78125

PLEASE GIVE ME A BRAIN

Answer:

3-[tex]\sqrt{3}[/tex] is the exact form

Answer:

[tex]\dfrac{1}{16}[/tex]

Step-by-step explanation:

Probability Distribution Table for X

Where X is the score on a fair, six-sided dice:

[tex]\begin{array}{|c|c|c|c|c|c|c|}\cline{1-7} x & 1 & 2 & 3 & 4 & 5 & 6\\\cline{1-7} \text{P}(X=x) \phantom{\dfrac11}&\frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} \\\cline{1-7}\end{array}[/tex]

Probability Distribution Table for Y

Where Y is the score on an unfair, six-sided dice, and the probabilities of rolling numbers 2, 3, 4, 5 and 6 are equal, and the probability of rolling a 1 has a different value:

[tex]\begin{array}{|c|c|c|c|c|c|c|}\cline{1-7} y & 1 & 2 & 3 & 4 & 5 & 6\\\cline{1-7} \text{P}(Y=y) \phantom{\dfrac11}&1-5k&k&k&k&k&k\\\cline{1-7}\end{array}[/tex]

Note:  The probabilities of all the possible values that a discrete random variable can take add up to 1.

The outcomes of rolling one 3 and one 4 are:

Given the probability of rolling one 3 and one 4 is ¹/₂₄:

[tex]\implies \text{P}(X=3)\; \text{and} \; \text{P}(Y=4) \; \text{or} \; \; \text{P}(X=4) \; \; \text{and} \; \; \text{P}(Y=3)=\dfrac{1}{24}[/tex]

[tex]\implies \dfrac{1}{6} \times k +\dfrac{1}{6} \times k=\dfrac{1}{24}[/tex]

[tex]\implies \dfrac{k}{6} + \dfrac{k}{6}=\dfrac{1}{24}[/tex]

[tex]\implies \dfrac{2k}{6}=\dfrac{1}{24}[/tex]

[tex]\implies 24(2k)=6[/tex]

[tex]\implies 48k=6[/tex]

[tex]\implies k=\dfrac{1}{8}[/tex]

Therefore:

[tex]\implies 1-5k=1-\dfrac{5}{8}=\dfrac{3}{8}[/tex]

Hence, the probability distribution table for the unfair 6-sided dice is:

[tex]\begin{array}{|c|c|c|c|c|c|c|}\cline{1-7} y & 1 & 2 & 3 & 4 & 5 & 6\\\cline{1-7} \text{P}(Y=y) \phantom{\dfrac11}&\frac{3}{8} & \frac{1}{8} & \frac{1}{8}& \frac{1}{8} & \frac{1}{8}& \frac{1}{8} \\\cline{1-7}\end{array}[/tex]

There is only one possible outcome of rolling two 1's, so the probability of rolling two 1's is:

[tex]\implies \text{P$(X=1)$ and P$(Y=1)$}=\dfrac{1}{6}\times\dfrac{3}{8}=\dfrac{3}{48}=\dfrac{1}{16}[/tex]

Note:  Please see attachment for the sample-space diagram showing the possible outcomes of rolling two dice. The possible outcomes of rolling one 3 and one 4 are highlighted in yellow. The possible outcome of rolling two 1's is highlighted in blue.

Answer:

8

Step-by-step explanation:

Answer:

16/25

Step-by-step explanation:

1 3/5 = 8/5

8/5 x 2/5 = 16/25

Answer:

x+2=3

collect like terms

x=3-2

x=1

x-12=x+30

collect like terms

x-x=30-12

=18

2(x+6)=2x+12

open bracket

2x+12=2x-12

collect like terms

2x-2x=-12+12

=0

3(x-2)=3x-2

open bracket

3x-6=3x-2

collect like terms

3x-3x=-2+6

=4

Answer:

30.

Step-by-step explanation:

Apologies if I am late, but I believe this is the answer!

Answer:

Дсдслсьмтстстсьсьалалла =4

Answer: 2

Step-by-step explanation:

1. Simplify the expression

[tex]sqrt(12)/sqrt(3)\\3.464/sqrt(3)\\3.464/1.732[/tex]

2. Perform any multiplication or division, from left to right:

[tex]3.464/1.732[/tex]

[tex]2[/tex]

[tex]3(2y+1)[/tex] I believe is the solution you seek.

You factor 3 out of 6y + 3, leaving you with the solution.

Hope this helps!

Answer:

X + e^(Y-5)/2

Step-by-step explanation:

X = 5^m

Y = 5^n

e^Y = n*e^5

n = e^(Y-5)