Please help me find the answer to this question.

An equation that could be used to represent the context if a represents the number of miles in the taxi ride is ​1.70 + 1.75a = 17.45

We are given;

Base pick up fee = $1.70

Additional taxi fee per mile covered = $1.75

Total taxi fare = $17.45

Now, if we assume that a represents the number of miles in the taxi ride, then we can form the equation to represent the given scenario above as;

1.70 + 1.75a = 17.45

We conclude that an equation that could be used to represent the context if a represents the number of miles in the taxi ride is ​1.70 + 1.75a = 17.45

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The equation for the nth term of the arithmetic sequence is (6n – 1)

The given arithmetic progression is 5,11,17,23

Here we have been given

                     a = 5

                     d = a2 – a1

                         = 11 – 5

                    d   = 6

The formula for the nth term is given as follows:

           an = a + (n-1)d           (1)

          where, a = first term

                        d = common difference

putting the required values of ‘a’ and ‘d’ in equation (1) we get

      an = 5 + (n-1)6

      an = 5 + 6n – 6

      an = 6n – 1

which is the required equation for the nth term of the arithmetic sequence

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The simplified form of the given expression is 1/9. Therefore, option B is the correct answer.

The given expression is [tex](\frac{(\frac{1}{3})^{7}}{(\frac{1}{3})^{6} } )^{2}[/tex].

We need to evaluate the given expression.

Laws of exponents:

Now, [tex](\frac{(\frac{1}{3})^{7}}{(\frac{1}{3})^{6} } )^{2}=((\frac{1}{3})^{7-6})^{2}[/tex]   (Because [tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex])

[tex]=(\frac{1}{3})^{2}[/tex]

=1/9

The simplified form of the given expression is 1/9. Therefore, option B is the correct answer.

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The quotient of 117 divided by 9 is 13.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

The answer thus got is called the quotient.

We have to divide 117 by 9.

Division algorithm states that,

Dividend = (Divisor × quotient) + Remainder

Remainder will be 0 if divisor is a factor of dividend.

Here dividend = 117 and divisor = 9

We know that 90 is a multiple of 9, where 90 = 9 × 10.

Remainder is 117 - 90 = 27

27 = 9 × 3

Hence 117 = 90 + 27 = (9 × 10 ) + (9 × 3) = 9 (10 + 3) = 9 × 13

So 117 / 9 = 13

Hence the quotient is 13.

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According to the given statement the slop of the given points are: -(1/2).

The slope of the line is the mathematical ratio of overall rise to the run, or rise divided by the run. It expresses the slope of a line in the coordinate plane. Calculating the slope of a line is comparable to finding the slope between two separate places.

The procedure for calculating the slope from such an equation will vary based on the form of the equation presented to you. If the equation is written as y=mx+c, the slope (or gradient) is simply m. If the formula does not exist in this form, try rearrangement.

The slope of a line is easily calculated by hand using small, whole number coordinates.

so,

X1 = 7

X2 = 3

Y1 = 2

Y2 = 4

Applying the formula for slope:

slope = (y₂ - y₁) / (x₂ - x₁)

         = (4 - 2) / (3 - 7)

         = 2/(-4)

         = - (1/2)

The slop of the given points are: -(1/2)

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Step-by-step explanation:(4/100x)+(6/100y)=178---------(i)

2х+3y=8900-----------(i)

x+y=3600---------(ii)

where x is phone

y is pen

The system of equations that describes the situation are 4x + 6y = 17800 and x + y = 3600.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Let the cost of 1 phone is x dollars and cost of 1 computer is y dollars.

Cameron earns a 4% commission on the total dollar amount of all phone sales he makes and earns a 6% commission on all computer sales.

∴ (4/100)x + (6/100)y = 178

4x + 6y = 17800...(i)

Cameron made a total of $3600 in sales.

∴ x + y = 3600...(ii)

Now to solve the equations we'll multiply eqn(ii) by 4 or 6 to cancel out x or y, and then we'll substitute the numerical value of x or y in any of these equations.

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Using translation concepts, it is found that the transformation is a reflection over the y-axis.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, we have that A is mapped to C and vice-versa. Since they are equidistant to the y-axis, we have that the rule is given by:

(x,y) -> (-x,y).

Meaning that the transformation is a reflection over the y-axis.

For O and B, the rules are given as follows:

Showing that points O and B are invariant, keeping the same coordinates and confirming that the transformation is a reflection over the y-axis.

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The simplification by combining like terms  of 3a + b + a is 4a + b.

According to the given question.

We have an expression 3a + b + a.

As we know that, like terms are terms whose variables (and their exponents such as the 2 in x2) are the same.  when we combine like terms, such as 2x and 3x, we add or subtract their coefficients.

Since, we have to combine the like terms of the given expression  3a + b + a.

Here 3a and a both are the like terms.

So, we add coeffcients of a to simplify the given expression.

Therefore, the simplification of 3a + b + a is given by

3a + b + a

= 3a + a + b

= 4a + b

Hence, the simplification by combining like terms  of 3a + b + a is 4a + b.

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Answer:

Step-by-step explanation:

A. The common factor of the expression is 5[tex]x^{3}[/tex]y

B. In order to find a common factor, you find the prime factor. In this case, the biggest number that goes evenly into 40 and 25 is 5.

C. Divide the original problem by the common factor  5[tex]x^{3}[/tex]y

that gives you  5[tex]x^{3}[/tex]y(8x[tex]y^{2}[/tex]-5)

Hope this helps!

Answer: 5:12

Step-by-step explanation:

25:60

But we can simplify this down too.

25:60

5:12

Answer:

x = -2

Step-by-step explanation:

Step 1: Distribute

-4(x + 7) + 2(2 + x) = -20 ---->  -4x-28 + 4+2x=-20

Step 2: Combine Like Terms

-4x-28+4+2x=-20 ----> -2x-24=-20 ----> -2x=4

Step 3: Divide both sides by -2, solving for x.

-2x=4 ----> -2/-2x = 4/-2 ----> x = -2

Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

1,2,3,4

Work Shown:

3b+2 ≤ 8

3b+2-2 ≤ 8-2

3b ≤ 6

3b/3 ≤ 6/3

b ≤ 2

Explanation: In the 2nd step, I subtracted 2 from both sides. In step 4, I divided both sides by 3. The inequality sign stays the same. It would flip if we multiplied or divided both sides by a negative number.

If you want to graph this on a number line, then plot a closed filled in circle at 2. Then shade to the left. This visually represents numbers that are 2 or smaller.

Answer:

257757

Step-by-step explanation:

Answer:

300 minutes 0.23c1=44.95+0.08c2

Step-by-step explanation:

The formula for finding any term of the given sequence is [tex]a_{n}[/tex] = [tex]n^3[/tex].

According to the given question.

We have a sequence

-1,1,-1,1,-1,1....

As we know that, a sequence or number pattern is an ordered set of numbers or diagrams that follow a rule.

The above of given sequence -1,1,-1,1,-1,1,.....  is following a rule i.e. each term is the cube of its number of term.

Here,

The first term is -1, so the cube of -1 is -1.

The second term is 1, so the cube of 1 is 1.

So, the nth term of the given sequence is [tex]n^{3}[/tex].

Therefore, the formula for finding any term of the given sequence is given by

= [tex]n^3[/tex]

Where, n = Therefore, the formula for finding any term of the given sequence is given by

 = [tex]n^3[/tex]

Where, n =  -1,1,-1,1,-1,1, .......

So, for n = -1

The first term will be -1.

for n =1

The second term will be 1

for n= 1

The fourth term will be 1 and so on .

Hence, the formula for finding any term of the given sequence is [tex]n^3[/tex].

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Answer:

-3, -1, 1

Step-by-step explanation:

Answer: -3,-1, and 1.

Step-by-step explanation: You are given the relation R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} The domain of the relation are all possible inputs and the range of the relation are all possible outputs. So, the inputs are : -3,-1,1; and the outputs are : -2,0,2. As a result, the domain is : -3,-1,1; and the range is : -2,0,2.

Th given sequence is geometric with the common ratio being [tex]\frac{-1}{3}[/tex].

Given: 18, -6, 2, -2/3, ....

Here, [tex]\frac{-6}{18}=\frac{2}{-6}=\frac{\frac{-2}{3}}{2}=\frac{-1}{3}[/tex]

Since, it follows the definition of a geometric progression, the sequence is geometric.

Thus, the given sequence is geometric, having common ratio = [tex]\frac{-1}{3}[/tex].

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Answer:

A shipping box is in the shape of a cube. What is the volume of the shipping box if the length of one side of the box is 4m24n4

Using algebraic expression, For the given expression, the height of the scarf will be 2h - 7

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Given the height = h

length of the base = 2h - 7

The area will be - 1/2 . B . H

= 1/2 . (2h - 7) . (h)

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The number of problems which Darren must correct each week according to the task content is; 900 corrections.

Since it follows from the task content that; the class contains 25 students, each who are each given 3 assignments per week consistent of 12 problems.

On this note, the number of problems he must correct since the homework is assigned distinctly to each student, the number of problems which he must correct is;

= 25 × 12 × 3

= 900 corrections.

However, if the assignment is same for all students; the number of corrections is;

= 12 × 3 = 36 corrections.

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When someone cries guiltily, but the person is angry and sad with him/herself is reflex crying.

Verb, adjective, another adverb, determiner, clause, preposition, or sentence is typically modified by an adverb. Adverbs often answer questions like "how," "in what way," "when," "where," and "to what extent" by expressing things like method, place, time, frequency, degree, level of certainty, etc.

Many adverbs have -ly endings, and they frequently follow the word they modify. Adverbs typically give information about an action's when, where, how, and how much it happened.

It should be noted that in literature, an adverb simply means the part of speech that can be used to qualify a verb.

It should be noted that when someone cries guiltily, but the person is angry and sad with him or herself is reflex crying.

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Significant digits are all non-zero numbers. The numbers are none of the zeros significant is 3100.

Significant figures in positional notation are the digits in a number that may be trusted to accurately represent how much of something there is.

Only the digits allowed by the measurement resolution are reliable, and only these can be significant figures if a measurement result is reported as a number with more digits than those allowed by the measurement resolution.

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The correct option is (C) 18.84 in. The circumference of the circle with a diameter 6 in is 18.84 in.

A circle's perimeter is known as its circumference. It is the circumference of the circle as a whole. A circle's circumference is calculated by multiplying its diameter by the constant. This measurement of a circle's diameter is necessary for someone crossing a circular park or for enclosing a circle. The units for the circumference, which is a linear variable, are the same as those for length.

Given, the diameter of the circle = 6 in.

The radius of a circle is calculated as

r = d / 2

r = 6 / 2

r = 3 in

The circumference of a circle is calculated as

C = 2πr

Substitute r = 3 in the circumference formula

=2 × 3.14 × 3

= 6 × 3.14

= 18.84 in

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The circumference of the given circle with a diameter of 6in is 18.84in.

So, the diameter is 6in.

Then, the radius is:

The formula for the circumference of the circle: 2πr

Now, substitute 'r = 3' in the formula of circumference as follows:

Therefore, (C) 18.84 is the circumference of the given circle.

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If the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped, then the distance of the object falls during the time 2 seconds is 64 foot

Given,

The algebraic expression off the distance in feet that an object fall= [tex]16t^{2}[/tex]

Where t is time in seconds

Here,

Time t= 2 seconds

Substitute the values in the expression

[tex]16t^{2}=16(2)^{2}[/tex]

=64 foot

Hence, if the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped, then the distance of the object falls during the time 2 seconds is 64 foot.

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Answer:

Yes, they are similar as the difference between the smaller rectangle and the larger one is a scale factor of 2.

answer:

yes

explanation:

you can tell if figures are similar (proportional side lengths with points of the same orientation), if you can divide the respective side lengths of the image and preimage together.

The line that passes through the points (6,-4) and (6,-1) is:

x = 6

We want to find the equation of the line that passes through the points (6, -4) and (6, -1)

Now, this is really trivial, as you can see that both points have the same x-value (the x-value is the first value of each coordinate pair), which means that our line is x = constant = 6

Then we have a vertical line:

x = 6

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Step-by-step explanation:

let's just write it down in mathematical notation :

length = 2×width - 1

the perimeter is the way all around an object.

so, for a rectangle that is

2×length + 2×width

for our rectangle here

2×length + 2×width = 70

now we use the original identity of length via width and get

2×(2×width - 1) + 2×width = 70

4×width - 2 + 2×width = 70

6×width - 2 = 70

6×width = 72

width = 12

FYI

length = 2×width - 1 = 2×12 - 1 = 24 - 1 = 23

The probability. In a bag of 3 green and 4 blue marbles, a blue marble is drawn and not replaced. Then, a second blue marble is drawn is 3/7.

Total number of marbles is 7.

Number of blue marbles are 4.

the probability  that a second blue marble is drawn is 3/7.

Probabilities are mathematical explanations of the likelihood that an event will occur or that a proposition is true. The likelihood of an event is represented by a number between 0 and 1, with 0 typically signifying impossibility and 1 typically signifying certainty.

Probability is a synonym for potential. It is a field of mathematics that examines how random events happen. From zero to one, the value is stated. To forecast the likelihood of events, probability has been introduced in mathematics.

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