Ray paid $46.25 for 8.75 gallons of gas. What is the unit rate of gas in dollars, per gallon ?

Answer: the domain is -3. 1, 0, 1, and 5 and range is, 3. 1, -2, -4, and-1 I dont know the function but I hope this helped

Step-by-step explanation:

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[tex] |12| + | - 15| = [/tex]

[tex]12 - ( - 15) = [/tex]

[tex]12 + 15 = [/tex]

[tex]27[/tex]

Thus the correct answer is the last option .

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Answer:

[tex] \boxed {27}[/tex]

Step-by-step explanation:

All negative numbers in the absolute sign will become positive.

[tex] |a| = a \: \: \: \: \: \: \: (a \geqslant 0) \\ |a| = - a \: \: \: \: \: \: (a < 0)[/tex]

Therefore we evaluate | - 15 | = 15

[tex]12 + 15 = \red {27}[/tex]

Answer: C

Step-by-step explanation:

Answer:

nick's number = 91

eddie's number = 39

Step-by-step explanation:

n = nick's number

[tex]\frac{3}{7}[/tex]n = eddie's number

[tex]\frac{7}{7}[/tex]n - [tex]\frac{3}{7}[/tex]n = 52

[tex]\frac{4}{7}[/tex]n = 52

cross-multiply:  4n = 52(7)

                         4n = 364

                          n = 364/4 = 91

eddie's number:  [tex]\frac{3}{7}[/tex] · 91 =  273/7 = 39

Nick's number is 91

Eddie's number is 39

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given,

Eddie's number is 3/7 of Nick's number

Let Nick's number be x

Then Eddie's number = 3x/7

Difference of the numbers is 52

x - 3x/7 = 52

(7x - 3x)/7 = 52

4x/7 = 52

4x = 52×7

x = 364/4

x = 91

Another number = 3x/7

                            = 3(91)/7

                            = 3 × 13

                            = 39

Hence, 91 is Nick's number and 39 is Eddie's number.

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Answer:

z is 23 and i dont see a y

Step-by-step explanation:

Answer:

31 1/2 yards

Step-by-step explanation:

In order to calculate the original length of the ball of string we simply need to multiply the length of each piece of string by the total number of strings that were produced from the original ball of string. First, we can turn the 2 1/4 into a single decimal number. Since 1/4 is equal to 0.25 we just add this to 2 to get 2.25, now we can go ahead and multiply this by the 14 total pieces.

2.25 * 14 = 31.5 or 31 1/2 yards

Answer:

First polygon has 16 sides

Second polygon has 24 sides

Step-by-step explanation:

Let the number of sides for first polygon be a and that for the second polygon be b

formula for sum of interior angle is;

180n-360

So for individual interior angle we have;

(180n-360)/n

So for polygon A

(180a-360)/a

For polygon B

(180b-360)/b

Let’s divide both to equate to the ratio

(180a-360/a)/(180b-360)/b) = 21/22

Factor out 180

(a-2)/a * b/b-2 = 21/22

b(a-2)/a(b-2) = 21/22

22b(a-2) = 21a(b-2) •••••• (i)

For the second part

Sum of exterior angle of any polygon is 360

Individual exterior angle is 360/n

for the first polygon;

360/a ;

For the second 360/b

Thus;

b/a = 3/2

2b = 3a ••••••••(ii)

b = 3a/2

11(2b)(a-2) = 21a(b-2)

11(3a)(a-2) = 21a( 3a/2-2)

33a(a-2) = 21a(3a-4)/2

22a(a-2) = 7a(3a-4)

22a^2 - 44a= 21a^2-28a

22a^2-21a^2+28a - 44a = 0

a^2 + 28a - 44a = 0

a^2 -16a = 0

a(a-16) = 0

a = 0 (which cannot be)

or a-16 = 0

a = 16

Recall;

b = 3a/2

b = 3(16)/2

b = 24

Answer:

x + y = 29

5x + 2y = 100

Step-by-step explanation:

Here, we want to set up equations

There are 29 problems, so adding up the number of individual problem types will give 29

x + y = 29 ••••••(i)

Let us work with points now;

x is worth 5 points, y is worth 2 points

Thus, mathematically;

5x + 2y = 100 ••••••••••(ii)

Answer: A. x + y = 29, 5x + 2y = 100 and the other one is B. 14 problems worth 5 points and 15 problems worth 2 points

Answer: D) the significance level of the test

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Explanation:

The significance level of the test, also known as "alpha", is the probability of making a type 1 error. A type 1 error is where you reject the null hypothesis but it was true all along.

The null hypothesis is where we test a certain probability distribution (eg: normal distribution). Specifically we gather a sample of values and compute the test statistic. If the probability of getting that test statistic or more extreme is smaller than alpha, then we reject the null. This probability value is known as the p-value.

If you lower the alpha value, then that will make it more likely you do not reject the null. Consider an example where alpha = 0.10 to start with. If you get a p-value of 0.02, then you would reject the null. The same would apply for alpha = 0.05; however, with alpha = 0.01, the p-value is no longer smaller than alpha. At this point we do not reject the null. Your textbook may use the phrasing "fail to reject the null".

Going in the opposite direction, increasing the alpha value will make it more likely to reject the null. Each time you adjust the alpha value, keep the p-value to some fixed number (between 0 and 1).

The height of the equilateral triangle is 3√3 cm.

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

To minimize the probability of incorrectly rejecting the null hypothesis in a hypothesis test with a fixed sample size of 40, the statistician can adjust the significance level of the test.

The significance level, denoted by α, is the probability of rejecting the null hypothesis when it is actually true.

By choosing a smaller significance level, the statistician can decrease the probability of making a Type I error (rejecting the null hypothesis when it is actually true).

However, decreasing the significance level also increases the probability of making a Type II error (failing to reject the null hypothesis when it is actually false).

Therefore,

The choice of significance level involves a trade-off between the two types of errors and should be based on the specific context of the problem and the consequences of each type of error.

Now,

The height of an equilateral triangle can be found using the formula:

height = (side length / 2) x √3

The side length = 6 cm

So,

height = (6 / 2) x √3

           = 3√3 cm

Therefore,

The height of the equilateral triangle is 3√3 cm.

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Answer: Laundry = $2

Dishes= $1

Step-by-step explanation:

Let the amount paid for doing laundry be x

Let the amount paid for doing dishes be y.

Based on the information in the question, this can be formed in an equation as:

5x + 8y = 18 ..... i

4x + 6y = 14 ...... ii

Multiply equation i by 4

Multiply equation ii by 5

20x + 32y = 72 ...... iii

20x + 30y = 70 ...... iv

Subtract iv from iii

2y = 2

y = 2/2 = 1

Dishes cost $1

Since 5x + 8y = 18

5x + 8(1) = 18

5x = 18 - 8

5x = 10

x = 2

Laundry cost $2

Answer:

? i need numbers

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

[tex] \frac{5x}{2} - 7 = \frac{3x}{4} + 14[/tex]

[tex] = > \frac{5x}{2} - \frac{3x}{4} = 14 + 7[/tex]

[tex] = > \frac{7x}{4} = 21[/tex]

[tex] = > x = \frac{21 \times 4}{7} = 12[/tex]

Answer:

2,047,291,874,697,000,000,000,000

Step-by-step explanation:

that is the answer to the multiplication statement xD

Answer:

$3,600

Step-by-step explanation:

To find the total amount we can state that $270 divided by 0.075 can find us the total amount of office receipts.

Doing so, we get: $270 over 0.075 = $3,600

Step-by-step explanation:

If the perimeters could be equal,

then 4(x + 3) = 2(x + 4 + x + 1).

=> 4x + 12 = 2(2x + 5)

=> 4x + 12 = 4x + 10

However 12 =/= 10 for all real values of x. Hence their perimeters can never be equal.

Answer:  False

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Explanation:

To see if the x value is a solution or not, we plug it into the equation given

2x+7 = 30 .... original equation

2*3 + 7 = 30 .... replace every x with 3, since we claim that x = 3

6 + 7 = 30 .... multiply 2 and 3 to get 6

13 = 30 ...... add 6 and 7 to get 13

We get two different numbers on either side, so the last equation is not true. We get a contradiction or false statement. So the original equation is false when x = 3. Therefore, x = 3 is not the solution.

That's why the overall claim is false.

Answer:

4cm

Step-by-step explanation:

The volume of the cylinder is the product of the area of the base and the height. In mathematical equation, this can be written as,

                                     V = πr²h

where V is volume, r is the radius, and h is the height.

Substituting the known values from the given,

                                 176π cm³ = πr²(11 cm)

Answer:12 minutes

Hope this is right sorry if not <3

Answer:

The range is: 7

Step-by-step explanation:

Given the data set

6, 7, 13, 10

Sorting in ascending order

6, 7, 10, 13

We know that the range is the difference between the highest and lowest values in a set of numbers.

Here:

Thus,

Range = Highest Value - Lowest Value

           = 13 - 6

           = 7

Therefore, the range is: 7

Answer:

Jake should get $3 because he would have given more water since he had the most out of all of them. Harold should get $2 because he gave less water

Step-by-step explanation:

The amount that Harold and Jake will get is $2 and $3, respectively.

A ratio shows us the number of times a number contains another number.

Harold has 40 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,

Amount of water = Total water / Number of persons

                             = 40 ounces of water / 3 person

                             = (40/3) ounces per person

Thus, Greg will get (40/3) ounces of water from Harold.

Similarly, Jake has 60 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,

Amount of water = Total water / Number of persons

                             = 60 ounces of water / 3 person

                             = (60/3) ounces per person

Thus, Greg will get (60/3) ounces of water from Harold.

Further, Harold and Jake will get the money in the ratio of the amount of water they shared, therefore, we can write,

(40/3)x + (60/3)x = $5

(40x + 60x)/3 = 5

100x = 5 × 3

x = 15/100

Furthermore, the money each of two will get is,

Amount that Harold will get,

(40/3)x

= (40/3) × (15/100)

= $2

Amount that Jake will get,

(60/3)x

= (60/3) × (15/100)

= $3

Hence, the amount that Harold and Jake will get is $2 and $3, respectively.

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Answer:

59

Step-by-step explanation:

62+59= 121

180-121= 59

Answer:

m<1 = 121

Step-by-step explanation:

59 + 62 = 121

180 - 121 = 59

180 - 59 = 121

Answer:

The answer is x< -60

please let me know if I am incorrect.

Explanation:Solve for x by simplifying both sides of the inequality, then isolating the variable.

Answer:

a y a r d = a 2 y r d a y a r d = a 2 y r d

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

(850-510)/850 = 340/850 = 2/5 = 40%

Answer: 40% I looked it up

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

464 / 7.25 = 64