Gabriel is at the grocery store, and wants to figure out his total cost before he gets to the register. He bought 2.5 pounds of apples that are x dollars a pound and 2 bags of lettuce for y dollars each. Gabriel remembers he has a coupon for $2 off his bill.

Gabriel has $30 to pay for the groceries. What simplified expression would represent the amount of change he should receive?
2.5x + 2y + 28
28 – 2.5x – 2y
32 + 2.5x + 2y
32 – 2.5x – 2y

Answer: =7

Step-by-step explanation:

\(4+\sqrt{1}\times \:21-2\times \frac{3^3}{\left|-19-2\left(-8\right)\right|}\)

\(=4+1\times \:21-2\times \frac{3^3}{\left|-19-2\left(-8\right)\right|}\)

\(=4+1\times \:21-2\times \frac{3^3}{\left|-19+2\times \:8\right|}\)

\(=4+21-2\times \frac{3^3}{\left|2\times \:8-19\right|}\)

\(=4+21-3^2\times \:2\)

\(=7\)

16.08% is the frequency of outcomes that the gambler wins on two of the dice.

The percentage of time each outcome is attained is the relative frequency. By dividing the total count for all types of outcomes by the count of a particular sort of outcome, relative frequency could be derived. The ratio of the overall trials in an actual experiment to the number of times an event occurs is used to compute relative frequency or empirical probability.

To determine the frequency of outcomes, we obtain,

On a single die, there is a 1/6 chance of winning.

P =6 ×(\(\frac{1}{6}\))² ×(\(\frac{5}{6}\))²

⇒P=\(\frac{25}{216}\)

The frequency of outcomes that the gambler wins on two of the dice=    \(\frac{25}{216}\)×100=16.08%

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Answer:Slope is -5. y-intercept is 4

Step-by-step explanation:

y=mx+c m=slope y-intercept=c

y=-5x+4

Comparing both equations we m=-5 and c=4 meaning slope =-5 y-intercept=4

- The domain of H is {-4, -1, -5, 9}.
- The range of H is {8, 0, -5, -1}.

The domain of a relation refers to the set of all input values or x-values, while the range refers to the set of all output values or y-values. To find the domain and range of the relation H={(−4,8),(−1,0),(−5,−5),(9,−1)}, we need to identify the distinct x-values and y-values.

Domain:
Looking at the given ordered pairs, we can see that the x-values or inputs are -4, -1, -5, and 9. To express the domain using set notation, we list these x-values within curly brackets, separated by commas. So, the domain of H is {-4, -1, -5, 9}.

Range:
Next, let's identify the y-values or outputs. From the given ordered pairs, we have the y-values 8, 0, -5, and -1. To express the range using set notation, we list these y-values within curly brackets, separated by commas. Therefore, the range of H is {8, 0, -5, -1}.

In summary:
- The domain of H is {-4, -1, -5, 9}.
- The range of H is {8, 0, -5, -1}.

Remember that the domain represents all the possible x-values, while the range represents all the possible y-values in the given relation.

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Answer:

find radius

Step-by-step explanation:

divide diameter by 2 !!!!!!!!!!!!!

Answer:

Step-by-step explanation:

put x=8

y=1/8×8+3=1+3=4

so point is (8,4)

put x=0

y=1/8×0+3=0+3=3

so point is (0,3)

to find more points put x=multiple of x and then find y.

a) True, b) False, c) False, d) True, e) False, f) False, g) True

a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.

b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.

c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.

d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.

e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.

f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.

g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.

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Answer:

If u double both numerator & denominator, this ration is 46/100

This answer is 46%

Answer:

15x+28

Step-by-step explanation:

15x+10+18

15x+28

Answer:

On attached woksheet

Step-by-step explanation:

The graph has units of time (sec) on the x axis and distance (meters) on the y.  The lines in the graph represent a change in distance from the origin as a function of time.  The slopes of these lines represent the speed, in m/sec., for that line.  Since they are straight lines, the speed is not changing for that time period.  A flat, horizonal, line represent a stationary object.  Distance does not change with time.  Steeper lines represnt faster speeds - the distance changes more quickly for the same time period.

See attached worksheet.

Answer:

C

Step-by-step explanation:

3x - 9y = 9 → (1)

- 2x +2y = 8 ( subtract 2y from both sides )

- 2x = - 2y + 8 ( divide through by - 2 )

x = y - 4

substitute x = y - 4 into (1)

3(y - 4) - 9y = 9

3y - 12 - 9y = 9

- 6y - 12 = 9 ( add 12 to both sides )

- 6y = 21 ( divide both sides by - 6 )

y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)

The quantity of fruit left is 2 pounds which is the difference between the quantity bought by Delon and the quantity eaten by the class.

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

The quantity of fruit has left the difference between the quantity bought by Delon and the quantity eaten by the class.

The quantity bought by Delon = 2.9 pounds

The quantity eaten by the class =  0.9 pounds

The quantity of fruit left = 2.9 pounds - 0.9 pounds  

Apply the subtraction operation,

The quantity of fruit left = 2 pounds

Thus, the quantity of fruit left is 2 pounds

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Answer:

7

Step-by-step explanation:

We can see that we have a negative number divided by a negative number, so the negatives cancel each other out.

\(56\div8\)

We know that 8 will go into 56 7 times, so \(-56\div-8=7\).

Hope this helped!

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

it is actually in the textbook pg 119

The simplified frame of the expression \(3 \times \frac{7 {}^{2} }{3} \times \frac{8}{3} \times 7- \frac{1}{4} \) is 6511.5.

To disentangle the given expression, we got to apply the arrange of operations (PEMDAS) and streamline the terms utilizing the example and division rules.

PEMDAS stands for Enclosures, Exponents, Multiplication and Division, and Expansion and Subtraction. We ought to perform the operations in this arrange to streamline the expression.

We rearrange the type: \(7^2 = 49\)

We rearrange the division 8/3 by partitioning the numerator by the denominator: \( \frac{8}{3} = 2 \frac{2}{3} \)

We disentangle the division 7-1/4 utilizing the run the show that a negative example is comparable to the corresponding of the base raised to the positive type: 7-1/4 = 1/74.

To revamp the expression with the rearranged values:  \(3 \times 49 / (2 \frac{2}{3} \times 1/74)\)

To partition divisions, we increase by the corresponding of the second division:  \(3 \times 49 \times 74 / (2 \frac{2}{3} )\)

We have to be rearrange the blended number  \(2 \frac{2}{3} \) by increasing the total number by the denominator and including the numerator: \(2 \frac{2}{3} = \frac{8}{3} \)

We will disentangle the expression by canceling out common variables:

3 x 49 x 74 / (8/3) = 6511.5

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Answer:

What are you asking?

Step-by-step explanation:

Answer:

y=x/3-4

Step-by-step explanation:

you get this answer by combine your x with your fraction. since this equation is belonging to system of equations you must combine the variable with your systematic equation.

Answer: 3.0625 would be the answer you just have to put it in a calculator.

Using translation concepts, the new coordinates of the point are given as follows:

(-2.5, 9.8).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.

For this problem, the translation rule for each point is given as follows:

(x, y) → (x - 7.5, y + 6.8)

This translation rule means that the figure is shifted:

The original coordinate is given by:

(5,3), meaning that x = 5 and y = 3.

Applying the rule to the original coordinates, we have tat:

Hence the new coordinates, after the rule is applied to the original coordinates, are given as follows:

(-2.5, 9.8).

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Answer:

Step-by-step explanation:

Let ,

Andy gets £ X

Phone gets 3x

Polly gets y = X/2

Andy gets 2y

2y = X

Now,

\(x + 3x + \frac{x}{2} = 270 \\ \frac{x \times 2 + 3x \times 2 + x}{2} = 270 \\ \frac{2x + 6x + x}{2} = 270 \\ \frac{9x}{2} = 270 \\ 9x = 270 \times 2 \: ( \: cross \: multiplication) \\ 9x = 540 \\ x = \frac{540}{9} \\ x = 60\)

Replacing values,

\(phobe \: gets = 3x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 60 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 180\)

\(polly \: gets = \frac{x}{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{60}{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 30\)

Hope this helps...

Good luck on your assignment..

The differences are not all equal, this sequence is not an Arithmetic sequence.

An arithmetic sequence refers to a sequence of numbers that have a common difference. This means that the numbers in the sequence increase or decrease by a fixed amount known as the common difference. An example of an arithmetic sequence is 2, 4, 6, 8, 10, and so on, where the common difference is 2.  Therefore, a sequence that has a common difference is an arithmetic sequence.
Here are some examples of sequences to determine if they are arithmetic:
1. 4, 9, 14, 19, 24, ...
To determine whether this is an arithmetic sequence, we need to find the common difference. We do this by subtracting each number from the one that follows it:
9 − 4 = 5
14 − 9 = 5
19 − 14 = 5
24 − 19 = 5
Since the differences are all equal to 5, this sequence is an arithmetic sequence with a common difference of 5.
2. 2, 5, 8, 11, 14, ...
To determine whether this is an arithmetic sequence, we need to find the common difference. We do this by subtracting each number from the one that follows it:
5 − 2 = 3
8 − 5 = 3
11 − 8 = 3
14 − 11 = 3
Since the differences are all equal to 3, this sequence is an arithmetic sequence with a common difference of 3.
3. 3, 6, 11, 18, 27, ..
To determine whether this is an arithmetic sequence, we need to find the common difference. We do this by subtracting each number from the one that follows it:
6 − 3 = 3
11 − 6 = 5
18 − 11 = 7
27 − 18 = 9
Since the differences are not all equal, this sequence is not an arithmetic sequence.

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Answer:

The distance between park and museum is 12km.

Step-by-step explanation:

Given that the map shows 1cm represents 3km. In this question, the distance between park and museum is 4cm so in order to find the real-life distance, you have to multiply by 4 :

\(1cm = 3km\)

\(4cm = 3km \times 4\)

\(4cm = 12km\)

Hence, the real-life distance between the park and the museum is \(12km\).

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

Here is a map of a town.The map shows a centimetre ruler \(1\) cm represents \(3\) km.

In a map it is mentioned that \(1\)cm which represents the \(3\) km. So, the distance between park and museum is

\(1+3=4\)cm

So for the real-life distance, we multiply by \(4\)

then,

\(1cm=3km\\\\4cm=3(4)km\\\\4cm=12km\)

Hence, the real-life distance between the park and the museum is \(12km\).

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We have the general rule of a translation of a function horizontally:

where k is the number of units of the translation. Also, we have that if k < 0, then the translation is to the right, while if k > 0, the translation is to the left.

Now, in this case we have that the vertex of the parabola is located in the point (1,0), then, f(x) is the following function:

We have that g(x) = (x+2)^2, then, using the translation, we have the following:

Answer:   \(\bold{ 2^{\frac{7}{2}}}\)

Step-by-step explanation:

\(2\sqrt{32}\\\\=2^1\cdot \sqrt{2^5}\\\\=2^1\cdot 2^\frac{5}{2}\\\\=2^{1+\frac{5}{2}}\\\\=\Large\boxed{2^{\frac{7}{2}}}\)

Perry como fans fifty-six percent of respondents to an online poll said that they were perry como fans. if 982 randomly selected people responded to this poll.

By use the sample proportion to estimate the true proportion of all local residents who are Perry Como fans.

Let p be the true proportion of all local residents who are Perry Como fans. Then, the sample proportion is 0.56 and the sample size is n = 982.

We construct a 95% confidence interval for p by using the formula

Sample proportion ± z*standard error

Where z is the critical value from the standard normal distribution for a 95% confidence level, which is 1.96. The standard error is the estimated standard deviation of the sample proportion which is defined as

\(\sqrt{p*(1-p)/n} \\}\)

By putting the values we get

Standard error = \(\sqrt{0.56*(1-0.56)/982)\) = 0.018.

95% confidence interval = 0.56 ± 1.96*0.018 = (0.525, 0.595).

Hence, we can say with 95% confidence that the true proportion of all local residents who are Perry Como fans is between 0.525 and 0.595.

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Answer:

T= 99 - 3.5m

T= 2.5m

Step-by-step explanation:

Answer:

the answer is 33.25 meters or oz

Step-by-step explanation:

hope this helped

Answer:

Y= -x-8

Step-by-step explanation:

Hope this helps

Answer:

y + 3 = - (x + 5)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 1 and (a, b ) = (- 5, - 3 ) , then

y - (- 3) = - 1 (x - (- 5) ) , that is

y + 3 = - (x + 5)

The inequality represented on the line is "x < 5". This means that any value of x that is less than 5 is included in the solution set for this inequality.

The line is a graphical representation of this inequality and shows all the points on the line where x is less than 5. Any point on the line that is to the left of the point where x equals 5 satisfies the inequality. The line acts as a boundary between the values that satisfy the inequality and those that do not. Inequalities are mathematical expressions that compare two values, and the line is a tool used to graphically represent them.

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