If someone drives an average of 23,000 miles per year, how many gallons will he save in a year by increasing his tire pressure from 30 to 35 psi?

The total cost for 4 tickets,  2 popcorns, and 1 bottled water is $46.25

Here we know that:

Then the cost of 4 tickets,  2 popcorns, and 1 bottled water is given by the expression:

4*$9.75 + 2*$6.25 + 1*$4.75

Solving this expression we will get that the total cost is:

C = 4*$9.75 + 2*$6.25 + 1*$4.75 = $46.25

We can conclude that the total cost for 4 tickets,  2 popcorns, and 1 bottled water is $46.25.

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Liam and Sam write the correct number.

Option D is true.

What is Expanded form of a number?

The splitting of numbers based on the place value is called Expanded form of a number.

The number is given as;

4×1 + 6 × 1/10 + 9 × 1/1000

Now, The number is written in standard form as;

⇒ 4×1 + 6 × 1/10 + 9 × 1/1000

⇒ 4 + 0.6 + 0.009

⇒ 4.609

Then write the number in word form,

⇒ 4.609 =  Four and six hundred nine thousandths.

So, Liam and Sam write the correct number.

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Answer: 48

So, to find out the interquartile range, we must first find the median of the lower and upper half of the data. So, 30, 36, 38, 45, 57 | 60, 77, 86, 88, 88 For the first half, the median is 38, and for the upper half, the median is 86. The median of the lower half is known as the quartile 1, and the median of the upper half is known as the quartile 3. The interquartile range is found by the difference between Q3 and Q1. So, 86 - 38 = 48.

There were 48 jumps.

Hops this helps :)

Step-by-step explanation:

To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.

The equation which results from the transformation of the equation given; y = x in the task content is; y = (1/11)x.

It follows from the task content that the resulting equation from the transformation of the graph of y =x after a vertical compression by a factor of 1/11 as given in the task content is to be determined.

On this note, since the compression is vertical, the resulting vertical component is; (1/11)• y.

Hence, the resulting graph upon compression is; (1/11)• y.

Ultimately, the resulting graph upon the vertical compression is; y = (1/11) x.

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Answer:

the answer is -3/2

Step-by-step explanation:

-12-(-6) = -6

6-2=4

-6/4 simplified is -3/2

The inequality for the given statement is 0<n≤8 and the solution set the inequality -8 ≤ w < 2 are w=-8, w=-5 and w=0.

The given inequality is -8 ≤ w < 2.

The solution set of inequality is the set of all solutions. Typically an inequality has infinitely many solutions and the solution set is easily described using interval notation.

a) The solution set the inequality -8 ≤ w < 2 is {-8, -7, -6, -5, -4, -3, -2, -1, 0, 1}

So, the solution sets from the options are w=-8, w=-5 and w=0.

b) The given equation is "a number n is greater than 0, and less than or equal to 8"

The inequality for the given statement is 0<n≤8.

Therefore, the inequality for the given statement is 0<n≤8 and the solution set the inequality -8 ≤ w < 2 are w=-8, w=-5 and w=0.

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Answer:

4:3

Step-by-step explanation:

They list first first but then ask for turtles to fish.

[tex]\frac{24}{18}[/tex]  Divide the top and the bottom by 6 to get [tex]\frac{4}{3}[/tex] or 4:3

Answer:

4300

Step-by-step explanation:

a)0.250

b)0.606

In the given question , we observe that

at Elmo's an old-fashioned barber shop in Melbourne, Florida ,66% of all customers  get a haircut ,49% get a save and 40% get both.

Probability is simply how likely something is to happen.

Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

The best example for understanding probability is flipping a coin:

There are two possible outcomes—heads or tails.

Independent event:

If two events, A and B are independent then the joint probability is

P(A and B)=P(A∩B)=P(A)P(B)

For example, if two coins are flipped, then the chance of both being heads is 1/2*1/2=1/4

probabilities of different events are:

P(Haircut)=66%=66/100=0.66

P(Shave)=49%=49/100=0.49

P(both)=40%=40/100=0.40

a) we have to find the probability that a randomly selected person doesn't get a shave and doesn't get a haircut.

P(no haircut ∩ no shave)=1-P(haircut ∪ shave)

                                        =1-[P(haircut)+P(shave)-P(both)]

                                         =1-[0.66+0.49-0.40]

                                         =1-0.75

                                         =0.250

b) we have to find the probability that a randomly selected person gets a shave, given that they get a haircut.

P(Shave/Haircut)=P(Both)/P(Haircut)

                           =0.40/0.66

                           =0.606

Hence, final answer is

a) the probability that a randomly selected person doesn't get a shave and doesn't get a haircut=0.250

b)the probability that a randomly selected person gets a shave, given that they get a haircut=0.606

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Answer:

x = $60.50

Step-by-step explanation:

It’s $60.50 because there are 2 people so u multiply $30.25 by 2 and you get $60.50

the difference quotient for the given function is 2.

For any function f(x), we define the difference quotient as:

( f(x + h) - f(x))/h

And we take the limit as h tends to zero.

Here our function is:

f(x) = 2x + 4

Replacing it in the difference quotient we get:

(2*(x + h) + 4 - 2x - 4)/h = ( 2x + 2h + 4 - 2x - 4)/h = 2h/h = 2

So we conclude that the difference quotient for the given function is 2.

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Answer:

27

Step-by-step explanation:

you just add all of them together

The weight of the original sample from which all eight batches which each weighed 3.9 × 10-⁵ are obtained as required in the task content is; 3.12 × 10-⁴.

It follows from the task content that the weight of the original sample from which the eight batches were obtained be determined.

Hence, since each of the eight batches weighs;

3.9 × 10-⁵

Therefore, the weight of the original sample can be obtained as follows;

= 8 × 3.9 × 10-⁵

= 31.2 × 10-⁵.

However, when the weight is expressed in scientific notation, the weight of the original sample is;

3.12 × 10-⁴.

Ultimately, The weight of the original sample from which all eight batches which each weighed 3.9 × 10-⁵ are obtained as required in the task content is; 3.12 × 10-⁴.

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Answer:

n=25

Step-by-step explanation:

5n-2+2n+7=180

combine like terms

7n+5=180

subtract 5 on both sides

7n=175

divide 7 on both sides

n= 25

Answer:23 hours

Step-by-step explanation:23 hours

Answer: ?

comfusing

Step-by-step explanation:

Answer:

It's both an A. P and a G. P series.

Step-by-step explanation:

Let's prove using A.P with a common difference (d) = 13

Let's say we want to find the second number

a + (n - 1)d

a = 13, n = 4, d = 13

.: S2= 13 + ( 2- 1)13

S2= 13 + (1) 13

S2= 13 + 13 = 26

Let's show using a G. P series.

S2 = arⁿ—¹

S2 = 13 × 2²—¹

S2 = 13 × 2¹

S2 = 13 × 2 = 26

The Domain is [0, ∞) and range is (0, ∞)

An exponential function is a mathematical function of the following form: f ( x ) = [tex]a^{x}[/tex]. where x is a variable, and a is a constant called the base of the function.

Given:

After taking a dose of medication, the amount of medicine remaining in a person's bloodstream, in milligrams, after x hours can be modeled by the function

f(x)=110[tex](0.91)^{x}[/tex]

as, the general form of exponential function is

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

where  a is the initial value, 0<b<1 is decay factor and b>1 is growth factor.

Now comparing with main function we have 110 is the initial value and 0.91 is the decay factor.

As,  exponential function is defined for all real values of x but the time cannot be negative.

so, Domain: [0, ∞)

and, [tex](0.91)^{x}[/tex]>0

so,  110[tex](0.91)^{x}[/tex]>0

Then the range is (0, ∞)

Hence, the Domain: [0, ∞) and range is (0, ∞)

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Our water faucet leaked 3 2/6 liters of water every 3/5 of a hour. 
We are to find the rate in liter per hour at which the water faucet leaked. 

First, use the number of liters the water faucet leaked in 3/5 of a hour. 

This is 3 2/6 = 20/6

Therefore, the number of liters of water faucet leaked in 1 hour is

(20/6) / (3/5) 

Before we solve this, we should simplify,

20/6 can be simplified to 10/3

3/5 cannot be simplified

Then, we should modify our problem to use reciprocation instead of a complex fraction,

(10 • 5) / (3 • 3) 

This equals 50/9

Now, solve 50/9 for 5.555555555556

This rounds to 5.6

Thus, the required rate at which the water faucet leaked is 5.6 liters per hour.

The inverse of the conditional statement w = v is the same as ~w = ~v

This is the term that is used to refer to the statement that is written in mathematics as well as in logic that tells us the negation of the hypothesis that has been made in a statement and the conclusion that has been made as well of that statement.

For instance when we say that it is snowing, the opposite would be it is not snowing.

Hence the way that we would be able to write the statement that we have here would be same as ~w = ~v

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The solution to the system is x = 6/17 and y = -7/17

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

-9x+2y=-4

-x+4y=-2

Multiply -9x+2y=-4 by 2

So, we have

-18x + 4y = -8

Subtract -18x + 4y = -8 from the equation -x+4y=-2

-x + 18x + 4y - 4y = -2 + 8

Evaluate the like terms

17x = 6

Divide both sides of the equation by 17

x = 6/17

Substitute x = 6/17 in -x + 4y = -2

-6/17 + 4y = -2

This gives

4y = -2 + 6/17

Evaluate

4y = -28/17

Divide by 4

y = -7/17

Hence. the solution to the system is x = 6/17 and y = -7/17

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[tex]cats = \frac{90}{2 + 7} \times 2 = 20 \: cats[/tex]

The standard deviation of both sets of data is the same, at 3.67,and adding the same constant c to each data value results in the standard deviation remaining the same.

Define Standard deviation?

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

We have a data set:

14, 12, 16, 8, 6

As we know the standard deviation formula is :

               σ = √[∑(xi-X)/n]

σ = population standard deviation

Here ,

xi = value from the data set

X = mean of the data set

n = number of observation in data set.

X = (14+12+16+8+6)/5

X = 56/5

Where,   n = 5

After calculating the standard deviation will be:

σ = 11.2

Add 8 to each data value to get the new data set 14, 12, 16, 8, 6.

We can write,

14+8=22

12+8=20

16+8=24

8+8=16

6+8=14

Then,      

New data set is   ⇒  22,20,24,16,14

New standard deviation:

σ(new) = 11.2

Since both sets of data have the same standard deviation, we can conclude that adding a constant to each data value has no effect on the standard deviation.

Adding the same constant c to each data value results in the standard deviation remaining the same.

Thus, the standard deviation of both the data are the same which is 11.2 and adding the same constant c to each data value results in the standard deviation remaining the same.

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Answer:

He has completed 95% of deliveries

Step-by-step explanation:

The company shipped altogether 40,000 sem electronic parts. Out of which 2000 parts were reported as defective.

Given, we know that 2000 electronic parts we declared as defective.

from the question, the defective parts represented 5% of the total shipments.

let the total parts be 'x'.

therefore, 5% of total parts = 2000

⇒ 5% of x = 2000

⇒ 5/100 × x = 2000

⇒ 5x/100 = 2000

⇒ 5x = 200000

⇒ x = 200000/5

⇒ x = 40,000

total parts shipped = 40,000

hence  we get the total electronic which were shipped as 40,000.

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Answer:

[tex]\frac92x - \frac{15}2 = y[/tex]

Step-by-step explanation:

[tex]9x - 2y = 15 \text{ / Add 2y} \\9x - 2y + 2y = 15 + 2y \\\to 9x = 15 + 2y \text{ / Subtract 15} \\9x - 15 = 15 + 2y - 15 \\\to 9x - 15 = 2y \text{ / Divide by 2} \\\frac{9x - 15}2 = \frac{2y}2 \\ \\\frac92x - \frac{15}2 = y[/tex]

Answer:

She has 12 oranges left

Step-by-step explanation:

convert 3/5 to a decimal

3÷5=0.6

then multiply that by 20

0.6*20=12