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melomori [17]
2 years ago
11

A company uses this formula to work out the cost, £A, of a taxi ride.

Mathematics
1 answer:
velikii [3]2 years ago
7 0

Answer:

£b = £1.68

A = £44.68

Step-by-step explanation:

Given:

A = 5 + 1.9m + b

Where,

A = total cost

m = number of miles travelled

£b = charge for booking online

£5 = fixed charge

A. Harry

A = £29.48

m = 12 miles

£b = ?

A = 5 + 1.9m + b

29.48 = 5 + 1.9(12) + b

29.48 = 5 + 22.8 + b

29.48 = 27.8 + b

29.48 - 27.8 = b

b = 1.68

£b = £1.68

b) If Sue books online and travels 20 miles, what will be

A = 5 + 1.9m + b

= 5 + 1.9(20) + 1.68

= 5 + 38 + 1.68

= 44.68

A = £44.68

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3 years ago
Find an equation of the line perpendicular to the graph of 14x-7=1 that passes through the point at (-2,4)
wolverine [178]

we know that

If two lines are perpendicular, then the product o their slopes is equal to minus one

so

m1*m2=-1

Step 1

<u>Find the slope of the given line</u>

we have

14x-7=1\\14x=1+7

x=8/14 -------> x=4/7

This line is parallel to the y-axis

so

the perpendicular will be parallel to the x-axis

Step 2

The equation of the line perpendicular to the given line is the y-coordinate of the given point

Point (-2,4)

the equation is

y=4

therefore

<u>the answer is</u>

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see the attached figure to better understand the problem

5 0
3 years ago
What is the scientific notation of 0.00165?
Ierofanga [76]

Answer:

The answer is 1.65*10^{-3}

Step-by-step explanation:

when writing scientific notation, there must be one number to the left of the decimal point.

To achieve this in this problem, you need to move the decimal point 3 times to the right.

because you are moving the point to the right, the exponent will be negative.

*rule of thumb: moving the decimal to the left will give you a positive exponent, moving to the right will give you a negative exponent*

therefore you answer should be written as:

1.65*10^{-3}

hope this helps :)

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qwelly [4]

Answer:

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Write the monomial in standard form. name it's coefficient and identify its degree.
Hunter-Best [27]

Answer:

Standard\ Form = {3n^2} m^{-2}

Step-by-step explanation:

Given

\frac{2}{3m^2n} * 4.5n^3

Required

Write in Standard Form

To start with; the two monomials have to be multiplied together;

\frac{2}{3m^2n} * 4.5n^3

Standard\ Form = \frac{2 * 4.5n^3}{3m^2n}

Split the numerator and the denominator

Standard\ Form = \frac{2 * 4.5 * n^3}{3 * m^2 * n}

Multiply Like terms

Standard\ Form = \frac{9 * n^3}{3 * m^2 * n}

Divide 9 by 3 to give 3

Standard\ Form = \frac{3 * n^3}{m^2 * n}

Divide n³ by n to n²

Standard\ Form = \frac{3 * n^2}{m^2 }

Split fraction

Standard\ Form = {3 * n^2} * \frac{1}{m^2 }

From laws of indices;

\frac{1}{a^n} = a^{-n}

Standard\ Form = {3 * n^2} * \frac{1}{m^2 } becomes

Standard\ Form = {3 * n^2} * m^{-2}

Multiply all together

Standard\ Form = {3n^2} m^{-2}

5 0
3 years ago
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