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

A = 5 + 1.9m + b

£5 is a fixed charge

m is the number of miles travelled

£b is a charge for booking online

a) Harry books a taxi online and travels 12 miles.

He pays £29.48 altogether.

How much is the charge for booking online?

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

Answers

Answer 1

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


Related Questions

1
Questão 10 - Um capital aplicado a
umos simples durante 2 anos, sob
taxe de juros de 5% ao mês, gerou
um montante de R$ 26.950,00.
valor do capital
aplicado​

Answers

Answer:

2,995 or 35,940(?)

Step-by-step explanation:

I don't exactly remember how to do this so, I'll show you two different ways I solved this

Use the formula I=P*r*t

I=Interest

P=Principal

r=rate

t=time

To solve this you'll have to...

The principal is 29,950, the rate is 5% but it'll become a decimal which is 0.05, and the time is 2

Put it into the formula form 29,950*0.05*2= 2,995 in interest

Or...

You'll use the same formula, but this time multiply 0.05 by 12 since there are 12 months in one year which is 0.6, so...

29,950*0.6*2=35,940 in interest

I hope one works!

Find the equation of the line passing through the point (8, -4) and slope -4.
A: y + 4x = 22
B: y + 4x = 28
C: y - 4x = 28
D: y + x = 36

Answers

Answer:

y+4x=36

Step-by-step explanation:

the answer isn't in the choice

Please help due tomorrow please explain if can

Answers

Answer:

16) 9ft, C

17) 1440 cm^3, D

18) 314 m^2, B

Step-by-step explanation:

16) 18 / 6 = 27 / x

18x = 162

x = 9 (C)

17) 24 / 1,920 = 18 / x

24x = 34,560

x = 1440 (D)

18) Surface Area of a sphere = 4 * pi * radius^2 (4r^2)

SA = 4pi(5)^2

SA = 4pi25

SA = 100pi

SA = 100(~3.14)

SA = 314 (B)

In a poll, 417 students voted. Nominee D received 2/3 of the votes. How many did nominee D receive?

Answers

417/3 = 139 x 2 = 278

= 278

Answer:

278 votes

Step-by-step explanation:

[tex]2/3 * 417 = 278[/tex]

7 9 4
-2 4 -3
3 10 0
Inverse of this

Answers

Answer:

The answer is -7, -9, -4, 2, -4, 3, -3, -10, -0

Step-by-step explanation:

If you see them in the number line, the integers on the left are negative and the integers on the right is positive. Therefore, negative numbers are inverses of positive numbers. For example, 1 is the inverse of -1.

the slope of a line is 1, and the y-intercept is -1. what is the equation of the line written in slope-intercept form?​

Answers

Answer:

y=x-1

Step-by-step explanation:

What is the equation for the lien of symmetry in the figure

Answers

Answer:

JUst find the middle and fold it in half

ain't no equations needed.

Standard form is y = ax^2 + bx + c, where a, b, and c equal all real numbers. You can use the formula x = -b / 2a to find the line of symmetry.

m= -3 b= -1 slope intercept form ​

Answers

Answer:

y = -3x-1

Step-by-step explanation:

all u had to do was plug it into y = mx+b

Please help ASAP
Find the slope of the line graphed below.

Answers

Answer:

3/4

Step-by-step explanation:

Hope this helps! :)

3/4 would be the answer :))

The price of an item has been reduced by 35%. The original price was $25.

Answers

Step-by-step explanation:

what thanks for free points btw

Answer:

not sure ans sorry if its wrong but i think its 8.75

Find the volume for the regular pyramid. 4cu units, 6 cu units, or 12 cu units

Answers

Answer:

4 cu. units

Step-by-step explanation:

1/3x2x2x3=4 cu. units

Answer:4cu unit

Step-by-step explanation:

2*2*3=12

12* 1/3 =4

Can y’all help me please
Letters A through F

Please:((

Answers

Answer:

can you take another photo

Step-by-step explanation:


The area is ___ square meters. UH HELP I need the steps if anyone can!?

Answers

ANSWER:
27m squared

STEP BY STEP:
-Find the area of the rectangle (6*3), which is 18
-Find the area of the triangle (6*2)/2=6
-The second triangle (3*3)/2=3
-Add all the answers up (27)
-Add the label (meters squared)
- your answer is 27m squared

The arc length of this circle is 9.42 inches. Determine the length of the radius.

Complete your work in the space provided.

Answers

Answer:

Radius = 5.996958 (They probably just want “6”).

Step-by-step explanation:

9.42x4=37.68 (perimeter)

Perimeter=2[tex]\pi[/tex]r

37.68÷2[tex]\pi[/tex]=r

5.996958=r

A boat travels 20 miles in 5 hours
(with a constant speed). How far can it
travel in 53 hours (with the same
speed)?

Answers

Answer:

212 miles

Step-by-step explanation:

the boat is going 4mph so in 53 hours it would be 212mi

A roadside vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The total sales on a certain day was $98. If they sold 10 pumpkins, write and solve a linear equation to find the number of tomatoes sold.

Answers

Answer:

16 tomatoes

Step-by-step explanation:

50+3t=98

3t=48

t=16

Find the distance and midpoint between (3,6) and (5,11)

Answers

Answer:

((3+5)/2,(6+11)/2)=(4,8.5)

Which of the following is equivalent to the complex number i24?

Answers

Answer: 1

Step-by-step explanation:

Rewrite as (i^4)^6

Rewrite i^4 as 1

Rewrite i^4 as (i^2) ^2

((i^2)) ^2)6

Rewrite i^2 as -1

((-1) ^2) 6

Raise -1 to the power of 2

1^6

One to any power is 1.

MULTIPLE CHOICE PLS ANSWER THANKS

Answers

Answer:

I think answer is B

B.10x+150=180


Find the area of the triangle pictured above.

Answers

Answer:

24.5

Step-by-step explanation:

7^2=49

49/2=24.5

8. Which situation is best modeled by an exponential function?
A The number of mold spores on a loaf of bread, if the amount of mold is quadrupling every 5 days.
B. The amount of tip a person will leave if he or she tips 20% of a food bill.
C. The value of a baseball card that is decreasing by $0.75 every 4 years.
D. The cost to purchase salmon that costs $8.99 per pound.

If answered soon i will give brainliest​

Answers

Answer:

C. The value of a baseball card that is decreasing by $0.75 every 4 years.

Step-by-step explanation:

The exponential function would represent a mathematical function in the form of f(x) = a^x

where

x denotes the variable

a denotes the constant

So according to the given options, the option C would represent the exponential function

Hence, the option c is correct

Someone PLEASE HELP ME WITH THIS IM IN A HURRY PLEASE

Answers

Answer:

A

Step-by-step explanation:

A

The botanist would like to estimate the average weight of mustard seeds grown in a certain type of soil; weight of the seeds is known to follow a normal distribution. The botanist collects a random sample of 10 mustard seeds and finds that the sample average and sample standard deviation are 528 mg and 49 mg respectively. Select from the following the correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data.

a. (480.1, 539.9)
b. (525.2, 534.8)
c. (479.4, 540.6)
d. (473.6, 546.4)
e. The necessary assumptions have not been satisfied and the calculation cannot be performed.
f. (469.4, 550.6)

Answers

Answer:

The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.833

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.833\frac{49}{\sqrt{10}} = 28.4[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 528 - 28.4 = 499.6 mg

The upper end of the interval is the sample mean added to M. So it is 528 + 28.4 = 556.4 mg

The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).

Y=3/4x-2 for slope plz heeeeeeeeeeeeeeeeeelp

Answers

Answer:

m = 3/4

Step-by-step explanation:

That's the correct answer for you :)

Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows:

79.6 75.1 78.2 74.1 73.9 75.0 77.6 77.3 73.8 74.6 75.5 74.0 74.7 75.9 72.7 73.8 74.2 78.1 75.4 76.3 75.3 76.2 74.9 78.0 75.1 76.8

If necessary, round all intermediate calculations to four decimal places (e.g. 12.3456).

Required:
a. Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why?
b. Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%.
c. Calculate point estimates of the population variance and the population standard deviation.
d. Calculate the standard error of the point estimate found in part (a). Interpret the standard error.
e. Calculate a point estimate of the proportion of all connectors.

Answers

Answer:

a. A point estimate of the mean pull-force of all connectors in the population is approximately 75.7385

The point estimate for the mean used is the sample mean

b. The point estimate of the pull force that separates the weakest 50% of the connectors from the strongest 50% is 74.3131 N

c. The point estimate of the population variance is approximately 2.8577

The point estimate for the population standard deviation is approximately 1.6905

d. The standard error of the mean is approximately 0.3315

e. The point estimate of a proportion of the connectors are;

(72.7, 0.0385) , (73.8, 0.0769) , (73.9, 0.0385) , (74, 0.0385) , (74.1, 0.0385) ,(74.2, 0.0385),  (74.6, 0.0385) , (74.7, 0.0385) , (74.9, 0.0385) , (75.1, 0.0769) , (75.3, 0.0385) , (75.4, 0.0385) , (75.5, 0.0385) , (75.6, 0.0385) , (75.8, 0.0385) , (76.2, 0.0385) , (76.3, 0.0385) , (76.8, 0.0385) , (77.3, 0.0385) , (77.6, 0.0385) , (78, 0.0385) , (78.1, 0.0385) , (78.2, 0.0385) , (79.6, 0.0385)

Step-by-step explanation:

The given data for the pull-force (pounds) for connectors used in an automobile engine are presented as follows;

Pull-force (pounds); 79.6, 75.1, 78.2, 74.1, 73.9, 75.6, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.8, 72.7, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8

a. A point estimate of the mean pull-force of all connectors in the population is the sample mean given as follows;

[tex]Mean, \ \overline x = \dfrac{\Sigma x_i}{n}[/tex]

[tex]\Sigma x_i[/tex] = The sum of the data = 1966.6

n = The sample size = 26

Therefore, the sample mean, [tex]\overline x[/tex] = 1966.6/26 ≈ 75.7385

The point estimate for the mean is approximately 75.7385

The sample mean was used as the point estimate for the mean because it is simple and representative of the sample

b. The weakest 50% of the connectors are;

72.7, 73.8, 73.8, 73.9, 74, 74.1, 74.2, 74.6, 74.7, 74.9, 75.1, 75.1, 75.3

The sum of forces that separates the weakest 50%, [tex]\Sigma x_{i}_{50 \%}[/tex]  = 966.2

The point estimate of the pull force that separates the weakest 50% of the connectors from the strongest 50% = [tex]\Sigma x_{i}_{50 \%}[/tex]/13 = 966.2/13 = 74.3131 N

c. The estimate of the population variance is the sample variance, given as follows;

[tex]s^2 =\dfrac{\sum \left (x_i-\overline x \right )^{2} }{n - 1}}[/tex]

Where;

[tex]{\sum \left (x_i-\overline x \right )^{2} }[/tex] ≈ 71.4415

Therefore;

[tex]s^2 =\dfrac{71.4415 }{25}} \approx 2.8577[/tex]

The point estimate of the population variance, s², is 2.8577

The point estimate for the population standard deviation, σ, is tha sample standard deviation, 's', given as follows;

s = √s² = √2.8577 ≈ 1.6905

The point estimate for the population standard deviation ≈ 1.6905

d. The standard error of the mean is given as follows;

[tex]SE_{\mu_x} = \dfrac{s}{\sqrt{n} }[/tex]

Therefore, we have;

[tex]SE_{\mu_x}[/tex] = 1.6905/√(26) ≈ 0.3315

The standard error indicates the likely hood of the difference between the sample mean and the population mean

e. The point estimate of a proportion of the connectors are;

(Number of sample with a given pull-force value)/(Sample size (26))

Therefore, using Microsoft Excel, we have

(72.7, 0.0385) , (73.8, 0.0769) , (73.9, 0.0385) , (74, 0.0385) , (74.1, 0.0385) ,(74.2, 0.0385),  (74.6, 0.0385) , (74.7, 0.0385) , (74.9, 0.0385) , (75.1, 0.0769) , (75.3, 0.0385) , (75.4, 0.0385) , (75.5, 0.0385) , (75.6, 0.0385) , (75.8, 0.0385) , (76.2, 0.0385) , (76.3, 0.0385) , (76.8, 0.0385) , (77.3, 0.0385) , (77.6, 0.0385) , (78, 0.0385) , (78.1, 0.0385) , (78.2, 0.0385) , (79.6, 0.0385)

i have $2 in my pocket what might be in my pocket (number puzzle)

Answers

Answer:

$2

Step-by-step explanation:

You might have spend the two dollar and got something small and put it in your pocket?

How many groups of of 5/6 are in 1

Answers

Answer:

6/5

Step-by-step explanation:

to find the number of 5/6 's in 1 , divide 1 by by 5/6 . when dividing by a fraction , rewrite it as multiplying by the reciprocal

WALLAHI HELP ME PLEASE WALLAHI I BEG

Answers

Answer:

x+2 y-1

Step-by-step explanation:

this would be moving 2 over on x and subtracting down one on the y and a shrink

Three people go out to lunch. They decide
to share the $69.00 bill evenly. How much
does each person pay?

Answers

Answer:

$23.00 each

Step-by-step explanation:

$69 / 3 people = $23 from each person

I WILL GIVE YOU BRAINLIEST!!!
An initial investment of $480 is appreciated for 7 years in an account that earns 15%
interest, compounded quarterly. Find the amount of money in the account at the end
of the period.
01) $ 1276.81
O2) $ 1345.58
3) $ 865.58
O4) $ 1296.94

Answers

The amount of money in the account at the end of the period would be $1345.58.

What is compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

Given is that an initial investment of $480 is appreciated for 7 years in an account that earns 15% interest, compounded quarterly.

We can write the compound interest as -

[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]

A = 480(1 + 0.15/4)^(4 x 1)

A = 480 + 865.58

A = 1345.58

Therefore, the amount of money in the account at the end of the period would be $1345.58.

To solve more questions on compound interest, visit the link -

brainly.com/question/30098550

#SPJ1

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