1) alice decides to take a trip from the east coast of the united states to the west coast. while planning, she chooses to drive, fly, and ride a train. her first leg of the trip is traveling by car, from sacramento, california to denver, colorado. along the way, she fills up her tank using regular unleaded gas, costing $4.65 per gallon, and premium gas, $4.95 per gallon. after driving for many hours, alice finally makes it to denver, colorado spending $874.80 in gas. a) let r represent gallons of regular unleaded gas and let p represent gallons of premium gas. create an equation that models the situation.

Answer: x = 5 or YOUR DAD

Step-by-step explanation:

1. Add 15 to both:
10 + 15 = 5x - 15 +15

2. Divide by 5 on both sides:
25/5 = 5x/5

3. Simplify:
5 = x

4. Symmetric Property of Equality:
x = 5

Answer:

Question

solve the equation 10 = 5x -15​   The answer is X=5

Step-by-step explanation:

10 = 5x -15​

            5x - 15 = 10

                5x - 15 +15 = 10+ 15

                5x = 25

                   5x/ 5 = 25/ 5

                     U get x = 5

Hope this helps :)

The triangles are similar by AA.

Similar triangles are triangles that have the same shape, but their sizes may vary.

In similar triangles, corresponding sides are always in the same ratio.

Corresponding angles in similar triangles are always congruent.

Therefore, the angles of the first triangle are 88, 30 and 62 and the angles of the second triangle are 62, 88 and 30 degrees.

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

Therefore, the triangles are similar by AA.

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The measure of the smaller angle of the complementary angles is: 36 degrees.

If the sum of two angles equals 90 degrees, then they are complementary angles.

Given that the ratio of two complementary angles is 3:2, therefor:

3x + 2x = 90

5x = 90

5x/5 = 90/5

x = 18

The smaller angle = 2x = 2(18) = 36 degrees.

The larger angle = 3x = 3(18) = 54 degrees.

Therefore, the measure of the smaller angle of the complementary angles is: 36 degrees.

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The result of evaluating the expression r w-6 is equal to -12.

To evaluate an expression is a term used in maths that generally means to come up with a solution to an equation and if it is not possible then reduce it to a smaller equation by exchanging the variables with the given numerical values.

We can evaluate the given expression as follows:

Since r = 3 and w = -2, we can substitute r and w in the expression, r w-6, with 3 and -2 respectively.

r w - 6 = 3 (-2) - 6

3 (-2) - 6 = -6 -6 = -12.

Hence if we evaluate the expression r w-6, the result will be -12.

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Conclusions concerning cause-and-effect relationships are only possible when the method is used by Experimental.

Cause and effect relationship is the concept that states about happening of a particular event causes another event to take place. Cause is the action that makes occurrence of effect. Cause is the reason because of which a event happens and effect is the result of that.

Conducting an experiment can clarify the concept to make it more understandable as conduction the experiment is the cause and the outcome is the effect caused due to experiment.

Other options are not appropriate as co-relational research measures two factors to understand relation without experimenting. Naturalistic observation is observing the happening of the natural surrounding and survey is recording the happening or event. Thus, the correct option is option(d).

The researcher can't control occasions or control factors. A correlational report is a quantitative strategy for the look into in which you have at least 2 quantitative factors from a similar gathering of subjects, and you are attempting to decide whether there is a connection between the 2 factors.

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Her friend bought the same T - shirt for $ 17.5 after 30 % discount.

We are given that a girl bought a T- shirt for $ 25.

Selling price = $ 25

Now, her friend bought the same T- shirt for 30 % off.

Discount rate = 30 %

Let the discounted price at which her friend bought the t - shirt be x.

So, we get that:

x = $ 25 - 30 % of $ 25

x = $ 25 - 30 / 100 × 25

x = $ 25 - $ 7.5

x = $ 17.5

Therefore, her friend bought the same T - shirt for $ 17.5 after 30 % discount.

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Answer:

Step-by-step explanation:

Answer:

first one if I'm not wrong

Answer: -4

Step-by-step explanation:

a = -2 and b = 4

(b/a)^3 + a^2=

(4/(-2))^3 + (-2)^2=

(-2)^3 + 4=

-8+4=-4

Answer:

-33

Step-by-step explanation:

According to the given statement the frequency of the sound = 693.87h2b.

The frequency of a repeated event is its number of instances per unit of time. In certain cases, it is also referred to as temporal frequency or ordinary frequency to underline differences with spatial and angular frequencies, respectively. One hertz (Hz) equals one (event) per second, which is how frequencies is expressed. Because it reflects the duration of time for one cycle of a recurring occurrence, the period is the opposite of the frequency. For example, the period, T, of a heart beating at such a frequency of 120 times per minute (2 hertz), is equivalent to 0.5 seconds (60 seconds divided by 120 beats).

let consider Speaker at 2x 1 and the listener at p.

lot wake interfere at pence path difference for interfering phase difference

(2π/λ )Δx₁ = 2πn

When spark move for word, the path difference:

Δx₂ = 0.950

Then phase difference

Δ∅₂ = (2π/1)Δx₂ = 2

Δ∅₂ - Δ∅₁  = (2π/λ)(Δx₂ - Δx₁) = 2π

2π x .49

λ = 0.49

frequency

f λ = Vsound

f = 340/0.49

= 693.87h2b

When separation is Δx₁ = 0.46

Δ∅₁  = 2π/0.49) x 0.46

= 5.993 radian

When separation is w2 = 0.95

it will gives 12.18116 radian.

According to the given statement the frequency of the sound = 693.87h2b.

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{-3 if x ∈ [-2,-5]}, {-2 if x ∈ (-2,3]} and {3 if x ∈ (3,4]} are the required answer for the function f(x).

Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers.

Intervals can be classified based on the numbers the set comprises. Some sets include the endpoints specified in the notation, while some might partially or not include the endpoints. In general, there are three types of intervals given as,

For the given graph we can conclude the interval one by one.

For the first blank {-3 if x ∈ [-2,-5]}

For the second blank {-2 if x ∈ (-2,3]}

For the third blank {3 if x ∈ (3,4]}

Therefore, {-3 if x ∈ [-2,-5]}, {-2 if x ∈ (-2,3]} and {3 if x ∈ (3,4]} are the required answer for the function f(x).

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Using translation concepts, the new coordinates 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 rule is given as follows:

(x, y) → (x - 7.5, y + 6.8)

This means that the figure is shifted:

The original coordinate is given by:

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

Applying the rule, we have tat:

Hence the new coordinates are given as follows:

(-2.5, 9.8).

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According to the given statement the correct option is: D.

Domain, nonnegative values; range, values greater than 3.

The difference between the greatest and lowest values inside one set of integers is known as the range. Subtract the smallest from the greatest value in the set to determine range.

f(x) = 3x + 3

where f(x) is the plant's height and x is the passage of time.

The set of input values is known as the domain and the collection of output values is known as the range.

Because the value of time cannot be negative, the domain has non-negative values.

The lowest possible value of x is 0. Replace x=0 in the provided function.

f(x) = 3x + 3

f(0) = 3(0) + 3

     = 3
At x=0, f(x) has a minimum value of 3, or 3. As x increases, function's value rises. Range thus refers to values greater or equal to 3.

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I understand that the question you are looking for is:

Amelia is documenting the height of sunflower plants each week. She has determined the function to be f(x) = 3x + 3, where x represents time and f(x) represents the height of the plant. Which of the following options describes the restrictions to the domain (x) and range f(x) correctly

a. Domain, nonnegative values; range, nonnegative values

b. Domain, nonnegative values; range, values greater than −1

c. Domain, nonnegative values; range, values less than −1

d. Domain, nonnegative values; range, values greater than 3

Answer:

x = -136 and x = 80

Step-by-step explanation:

|(1/4)x +7| - 3 = 24

|(1/4)x + 7| = 27 (transpose 3 and it becomes positive)

now:

(1/4)x + 7 = 27 (first solution)

(1/4)x = 20

x/4 = 20

x = 20×4

x = 80

(1/4)x + 7 = -27 (second solution)

(1/4)x = -34

x/4 = -34

x = -34×4

x = -136

Answer:

gooddddd luuuuuuuccccccckkkkk

Answer:

<K = 55     <L = 55     <M = 70

Step-by-step explanation:

As it is an isosceles triangle, Two sides of the triangle will be equal and their angles will be equal too.

L and K are both = (4x + 3)

All angles in a triangle add up to 180

(4x + 3) + (4x + 3) + (5x + 5) = 180

4x + 3 + 4x + 3 + 5x + 5 = 180

13x + 11 = 180

13x = 180 - 11

13x = 169

x = 169/13

x = 13

<K = 4x + 3 = 4(13) + 3 = 55

<L = 4x + 3 = 4(13) + 3 = 55

<M = 5x + 5 = 5(13) + 5 = 70

The 95% confidence interval for the proportion who believe immigration is a good thing is 0.631< p < 0.689.

Immigration is the term used to describe the international movement of individuals to a country of destination where they do not have nationality or ancestry in order to settle as citizens or permanent residents. The definition of immigration or migration excludes commuters, tourists, and other short-term visitors; seasonal labor immigration is occasionally included, though.

Research indicates that migration has favorable economic impacts for both the sending and receiving countries. The majority of the time, according to research, immigration benefits the native people economically. However, there is some debate over whether low-skilled immigration has a negative impact on low-skilled natives.

Given that,

Point estimate = sample proportion = [tex]\hat p = x / n = 663 /1004=0.660[/tex]

1 - [tex]\hat p[/tex]  = 1-0.660=0.34

Margin of error = E =  [tex]Z\alpha/2 * \sqrt(((\hat p * (1 - \hat p)) / n)[/tex]

                              = [tex]1.96 (\sqrt((0.66*0.34) /1004 )[/tex]

                            E   = 0.029

A 95% confidence interval it is given as ,

[tex]\hat p - E < p < \hat p + E[/tex]

0.66 - 0.029 < p < 0.66+ 0.029

0.631< p < 0.689

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- - - - - - - - - - - - - - - - - - - - - - - -

Work below!

- - - - - - - - - - - - - - - - - - - - - - - -

My estimate: 8.8 x 8.8 = 77.44

Calculated answer: 8.8 x 8.8 = 77.44

Why are they the same? Because 78 is simply not a perfect square. Therefore 77.44 must be rounded up to 78.

- - - - - - - - - - - - - - - - - - - - - - - -

Good luck! :)

~pinetreee

The total number of coins Kiara put in each envelope are 2.

According to the given question.

Total number of coins Kiara have = 6

Total number of envelopes Kiara have = 3

Since, we have to find the number of coins Kiara put in each envelope. So, for this we will divide total number of coins by total number of envelopes.

Therefore,

The total number of coins Kiara put in each envelope

= 6/3

= 2

Hence, the total number of coins Kiara put in each envelope are 2.

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Answer:

Hope this helps :)

a) (+12) ÷ (+4) = 3

c) (-18) ÷ (+9) = - 2

e) (+72) ÷ (-8) = - 9

g) (-14) ÷ (+1) = - 14

i) (-27) + (-3) = - 30

b) (-15) ÷ (-3) = 5

d) (+81) ÷ (-9) = - 9

f) (-64 : (-8) =

If the sign is +, then the answer is - 72.

If the sign is ÷, then the answer is positive 8.

If the sign is x, then the answer is positive 512.

If the sign is - , then the answer is - 56.

h) (+54) ÷ (-6) = - 9

j (+32) + (+4) = 36

The weighted average of the points in the line is 7.5

The points are given as

3 and 12

The weighted average of the points in the line is calculated as

Weighted average = Sum/Count

So, we have:

Weighted average = (3 + 12)/2

Evaluate

Weighted average = 7.5

Hence, the weighted average of the points in the line is 7.5

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A unit of analysis is merely the entity under investigation. This is generally individuals but in case of Dr. Lintz, it really is state legislatures. The variables record information about the legislative bodies themselves, rather than the individuals who make up those bodies.

A state legislature is a broad term that refers to the legislative body in any of the 50 states in the United States. The formal name differs from one state to the next.

Some key features regarding the state legislatures are-

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Answer:

Old 175.20, New 167.90

Step-by-step explanation:

Manufacturing cost: $146

Old Price $146 + 20% markup = $175.20

New Price $146 + 15% markup = $167.90

Answer: a. 18 teaspoons

b. 6 tablespoons

Step-by-step explanation:

a. 1 tsp: 15 sq ft

270 sq ft * 1 tsp/15 sq ft=

270 * 1/15=

270/15=18 teaspoons

b. 3 tsp = 1 tbsp

18 tsp * 1 tbsp/3 tsp=

18 * 1/3=

18/3=6 tablespoons

Answer: ---

Step-by-step explanation:

Divide the hight of the stack by 8, multiply that by 12, you should have your answer

For this question, the inequality is 4.9+4.1+6.4.+x < 18.7 and the solution is x < 3.3 ft.

The perimeter of a geometric figure is the sum of its sides. Thus, for a square, for example, the perimeter is S1+S2+S3+S4, where S represents the dimension of each side.

In this question the sides are: 4.9, 4.1, 6.4 and x. The exercise also informs that the perimeter is less than 18.7 ft.

Thus, you can write

4.9+4.1+6.4.+x < 18.7

x+15.4 < 18.7

x < 18.7 - 15.4

x < 3.3 ft.

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Answer:

1. The sum of the measures of complementary angles is 90°.

2. The sum of the measures of supplementary angles is 180°.

3. The measures of vertical angles are equal.

Answer:

infinitely many solutions

Step-by-step explanation:

The constant of proportionality is 0.5.

From the information, Rocko paid $12.50 for 25 game tickets and Louisa paid $17.50 for 35 game tickets.

The constant of proportionality can be illustrated as k.

Therefore, 12.50 = 25 × k

12.50 = 25k

Divide

k = 12.50/25

k = 0.5

The constant of proportionality is 0.5.

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