please help

/ The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.

2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .

3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take

Answers

Answer 1
1. 163/10.5 = 15.5 litres
2. 138.9 * 15.5 = 2,152 pence which is 21$
3.163/50 =3.2 hours
Answer 2

Answer:

The answers are:

15.523 liters of petrol will be used.The cost of petrol will be: 2156.2 penceThe journey will take 3 hours and 16 minutes approximately

Step-by-step explanation:

Given:

Distance of Hotel and car = 163 miles

Distance travelled by car per liter = 10.5 miles

The number of liters will be obtained by dividing the total distance by distance travelled in one liter.

So,

[tex]number\ of\ liters = \frac{163}{10.5} = 15.523\ liters[/tex]

2. Cost for petrol:

Cost of petrol per liter = 138.9 pence per liter

Then the total cost of petrol will be:

[tex]Total\ cost = 138.9*15.523 = 2156.1447 => 2156.2\ pences[/tex]

3. Time taken for journey

Distance travelled in an hour = speed = 50 miles per hour.

The speed is given by the formula:

[tex]speed = \frac{distance}{time}[/tex]

Putting the values

[tex]50 = \frac{163}{t}\\t = \frac{163}{50}\\t = 3.26\ hours[/tex]

It will take: 3 hours and 0.26*60 = 15.6 minutes => 3 hours 16 minutes

Hence,

The answers are:

15.523 liters of petrol will be used.The cost of petrol will be: 2156.2 penceThe journey will take 3 hours and 16 minutes approximately

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C

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Answer:

Statement F is true

Step-by-step explanation:

Let x represent number of yoga classes

Let y represent total cost

Let m represent the additional fee per yoga class

Let b represent the membership fee

y=mx+b

Notice that after every 2 classes, the price goes up by 7.5 so m=7.5/2

m=3.75

Thus the first statement is true

Note you can also find the membership fee if you plug this in with some points

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uh what do you mean by this?

Select the correct statement about the function represented by the table.

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B is the correct answer

Answer:

the answer is d because it

what is the common denominater of 1/5 and 7/10

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Answer:

10 010 10 10 10 10 101 01 mo1

Step-by-step explanation:

The LCD is 10 between the two of you can mark this as brainlest I’ll be very grateful

The length of a rectangular piece of cardboard is 2 cm greater than its width. If the length and the width were each decreased by 1 cm, the area of the cardboard would be decreased by 27 cm². What are the dimensions of the original piece of cardboard?

Write and solve an equation to represent the problem.

Answers

9514 1404 393

Answer:

  13 cm wide;  15 cm long

Step-by-step explanation:

Let w represent the original width. Then the original length is (w+2) and the original area is w(w+2). After the decrease, the width is (w-1) and the length is (w+1). The decreased area is (w-1)(w+1). The difference between these areas is 27, so we have ...

  w(w+2) -(w-1)(w+1) = 27

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The original piece of cardboard was 13 cm wide and 15 cm long.

Wrote a linear function f with the values f(-4)=0 and f(4)=2

Answers

Answer:

y = (1/4)x + 1

Step-by-step explanation:

The points mentioned are (-4,0) and (4,2).

We can find the slope m:

(2-0)/(4-(-4)) = 2/8 = 1/4

We now have the equation y = (1/4)x + b

Now we must find the y-intercept.

Plugging in the first point:

0 = (1/4)*(-4) + b

0 = -1 + b

1 = b

y = (1/4)x + 1

Answer this question if cool

Answers

Answer:

The answer to your question is given below

Step-by-step explanation:

From the question given above, the mean score is 23.

Thus, we can obtain the distance from the mean (absolute deviation) by using the following formula:

Mean deviation = | mean – Score |

Mean = 23

For Score 21:

Mean deviation = | mean – Score |

Mean deviation = | 23 – 21 | = 2

For Score 22:

Mean deviation = | mean – Score |

Mean deviation = | 23 – 22 | = 1

For Score 28:

Mean deviation = | mean – Score |

Mean deviation = | 23 – 28 | = 5

For Score 29:

Mean deviation = | mean – Score |

Mean deviation = | 23 – 29 | = 6

SUMMARY:

Score >> Mean >> Absolute deviation

21 >>>>> 23 >>>>> 2

21 >>>>> 23 >>>>> 2

21 >>>>> 23 >>>>> 2

22 >>>>> 23 >>>>> 1

22 >>>>> 23 >>>>> 1

22 >>>>> 23 >>>>> 1

22 >>>>> 23 >>>>> 1

22 >>>>> 23 >>>>> 1

28 >>>>> 23 >>>>> 5

29 >>>>> 23 >>>>> 6

The population of a country grows exponentially at a rate of 1% per year. If the population was 35.7 million in the year 2010, then what is the population size of this country in the year 2015

Answers

Answer:

37.52 million

Step-by-step explanation:

using,

A = A'(1+R/100)ⁿ............................. equation 1

Where A = population size in 2015, A' = Initial population, R = rate in percentage, n = number of times between 2010 and 2015.

Given: A' =35.7 million, R = 1%, n = 5.

Substitute these values into equation 1

A = 35.7(1+0.01)⁵

A = 37.52 million.

Hence the size of the population of the country in the year 2015 is 37.52 million

1. Jordy brings in cupcakes for his class. He brings 2 cupcakes for each person in his class and 5 extra cupcakes as extra just in case. If Jordy brings in 49 cupcakes in all, write an equation that represents this information and then solve to find out how many classmates he has.

PLS PLS WRITE THE EQUATION...

Answers

Answer:

22 people

Step-by-step explanation:

49 - 5 = 44 cupcakes

44 ÷ 2 =  22 people

A line is a(n)...... for a function if the graph of the function gets closer and closer to touching the line but never reaches it.
A.) asymptote
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your answer would be asymptote

(5x+3)(-5x+6) box method to distribute and simplify

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Answer:

-450

Step-by-step explanation:

Belle's dad lends her $10. Then Belle borrows another $15 from him. Write and evaluate an expression that shows the change in the amount of money Belle's dad has.

Answers

The expression that shows the change in the amount of money Belle's dad has is (x - 25) and this can be determined by forming the linear equation in one variable.

Given :

Belle's dad lends her $10. Then Belle borrows another $15 from him.

The following steps can be used to determine the expression that shows the change in the amount of money Belle's dad has:

Step 1 - Let the total amount of money Belle's dad have be 'x'.

Step 2 - Then it is given that Belle's dad lends her $10. So the expression becomes:

= x - 10b

Step 3 - Now, it is also given that Belle borrows another $15 from her dad. So, the above expression becomes:

= x - 10 - 15

Step 4 - Simplify the above expression.

= x - 25

So, the expression that shows the change in the amount of money Belle's dad has is (x - 25).

For more information, refer to the link given below:

https://brainly.com/question/13101306

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Answers

9514 1404 393

Answer:

  18

Step-by-step explanation:

When chords cross, the product of the lengths of the pieces is the same for each chord:

  EU·ES = ET·EV

  8·9 = (12x)(6x)

  72 = 72x^2

  x^2 = 1   ⇒   x = 1

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Answer: I think 12...

Step-by-step explanation:

Answer:

Step-by-step explanation

[tex]\frac{4x - y}{2} = 5[/tex]

4x - y = 5 × 2

4x - y = 10

4x = y + 10

x = [tex]\frac{y + 10}{4}[/tex]

hope this helps

If the homogeneity of variance assumption is violated in an independent groups t test, this means _________. the populations from which the samples were drawn have different standard deviations you should use the sign test the sample sizes should be equal and N greater than 30 to use the t test the populations from which the samples were drawn have different standard deviations and the sample sizes should be equal and N greater than 30 to use the t test

Answers

Answer:

the populations from which the samples were drawn have different standard deviations

Step-by-step explanation:

Given that the assumption of homogeneity of variance is the same as the assumption of the independent samples t-test which asserted that all comparison groups possess the same variance

Therefore, if the homogeneity of variance assumption is violated in an independent groups t-test, this means "the populations from which the samples were drawn have different standard deviations."

If ∧ ASC ≅ ∧ KSC then ∠8 is congruent to which angle?

Answers

Answer:

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Step-by-step explanation:

n/32 = 1/16

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Answer:

2 is the correct answer dood

Answer:

c) n=2

Step-by-step explanation:

Kylie drove 406 miles in 7 hours. If she continued at the same rate, how far would she travel in 19 hours?

Answers

Answer:

1,102

Step-by-step explanation

406/7=56 (unit rate)

56*19=1102

Answer:

The answer is 1,102

Step-by-step explanation:

First, we need to figure out how much per hour.

406 divided by 7 = 58

Now we multiply by the hours

58 x 19 = 1,102

#LearnWithBrainly

All 27 students in Joe’s class bought the same items. The expression below shows the total spent by ALL 27 students:
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______________________________________________________________________
______________________________________________________________________
b) Simplify the expression:

Answers

Answer:

I will give you the explanation, figure out the answer.

Step-by-step explanation:

For this expression, you need to distribute 27 into the expression inside the parantheses.

Distributing will look like this:

(27 x 2p) + (27 x 4e) + (27 x 10p) + (27 x 20)

Now to get the simplified version of this expression, you just need to multiply and combine like terms!

HELP THIS IS DUE IN ONE HOUR I NEED A GOOD ANSWER! Each sales associate at an electronics store has a choice of the two salary options shown below.
• $115 per week plus 9.5% commission on the associate’s total sales
• $450 per week with no commission


a. The average of the total sales amount for each associate last year was $125,000. Based on this average, which salary option would result in a higher salary?









b. What is the difference between the two salary options?

Answers

Answer:

a) $450 per week, because you have room to earn more money because the average is sales is $2397.26 per week which the commission for option one would be is $227.74 which means on average people get $ 342.74, so $450 every week is a much higher salary.

b) The differace is that option 1 has the potential to increase by you selling more you can make more but in option 2 you know you will get $450 a week every week and that you would need to sell well above average to make more than $450

A store is having a sale in which the cost of any item is 35% off.
Can the expression be used to find the cost, x, of an item?
Select Yes or No. Please look at your picture.

Answers

Answer:

1. no

2. yes

3. no

4. yes

Step-by-step explanation:

only the second and last expression works. If x is the final cost, and it is 35% off, then you are subtracting 0.35xor keeping 0.65x

please give thanks by clicking heart button! :)

Find the slope of the line that passes through the points given in the table.
х у
-3 | 0
2 | 2
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Answers

Answer:

2/5

Step-by-step explanation:

(2,2) and (7,4) 4-2/7-2=2/5

2. A company manufactures baseball bats. The fixed expenses are $58,780 and the variable expenses are $28 per baseball bat produced. How many bats did they produce if their expenses total $406,960?

Answers

Answer:

12,435 bats

Step-by-step explanation:

We need to figure out how many bats were produced.

First let's write the equation. Cost is $28 for each bat, and we start with fixed expenses of $58,780

y=28x + 58780

We are given y, total expenses at 406,960

so 406,960 = 28x + 58780

subtract 58780 from both sides

406,960 - 58,780 = 28x

348,180 = 28x

divide both sides by 28

12,435 = x

This means they produced 12,435 bats.

please give thanks by clicking the heart button :)

I need help!!! Please figure it out and type it out.

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Answer:

the mean number is 2.7

Step-by-step explanation:

if you add up the frequency of books then divide by 20 you get 2.7

Which postulates can be used to prove congruence?

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Answer:

SAS postulate.. is the answer

Help with quadratic! Really struggling with this

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Answer:

Step-by-step explanation:

The equation

[tex]G(h)=-3h^2+24h+47[/tex]

represents the grade you are going to earn which is represented by G(h) where h in the equation is the hours you study the week before.

Part A) Is totally up to you because in the question it asks What's the best possible grade you can earn with your current study habits lets say if you study around 4 hours the week before the test. Which means the value of h should be 4 because h represents hours in the equation.

so ,

[tex]G(h)=-3h^2+24h+47\\G(4)=-3(4)^2+24(4)+47\\G(4)=-48+96+47\\G(4)=95\\[/tex]

So if you studied for 4 hours the week before the test you are going to score 95 marks which would be an A* grade.

Part B) In this part it asks you the maximum amount of study time you will need to have to earn that grade which means how many maximum hours you would need to earn a total of 95 marks which is 4.

Part C) The y-intercept is the constant in the equation in this case +47 is y-intercept and in the context of the problem it denotes that if you studied for 0 hours you would still earn 47 marks on the test, which would result you failing the test.

Part D) How many hours would you need to complete and still earn a zero would be:

[tex]G(h)=-3h^2+24h+47\\-3h^2+24h+47=0[/tex]

because it says still earn a zero which means the grade is zero so now we solve the equation.

[tex]-3h^2+24h+47=0\\3h^2-24h-47=0\\[/tex]

using the quadratic formula we get two values for h which are

h = 9.627 and h = -1.627 so eventually hours can never be in negative its impossible you can't study for -1.627 so our answer is 9.627 hours and you would still earn a zero after studying approximately 9.6 hours.

Part E) The grade that you will earn if you studied for 5 hours is:

[tex]G(h)=-3h^2+24h+47\\G(5)=-3(5)^2+24(5)+47\\G(5)= -75+120+47\\G(5)=92\\[/tex]

You would earn 92 marks which would result in an A* grade

Answer:

(A) 95

(B) h=4

(C) 47, represents 0 hours of study

(D) h=9.63

(E) 92

Step-by-step explanation:

(A) They are asking for the maximum of the graph of the equation which can be found using the vertex formula:

[tex]max= c-\frac{b^2}{4a}[/tex]

where 'a' is the coefficient of the first term, 'b' is the coefficient of the second term and 'c' is the third term.

So we have:

[tex]max=47-\frac{(24)^2}{4(-3)} = 95[/tex]

(B) To find the hours of study required to get 95 we need to set the equation equal to 95:

[tex]-3h^2+24h+47=95[/tex]

which can be rewritten as:

[tex]-3h^2+24h+47-95=0[/tex]

or

[tex]-3h^2+24h-48=0[/tex]

When we solve for 'h' we get h = 4

Therefore, studying 4 hours gives us a grade of 95, which is the maximum score from the equation.

(C) The function G(h) is our y and h is our x values. To find the y intercept, x (which is h in the equation) must be set to 0 and solved for y. This is because the y intercept is at the point where x =0.

So we have:

[tex]G(h)=-3(0)+24(0)+47\\ =0+0+47\\ =47[/tex]

This is when h=0 and therefore is represents the grade when 0 hours of studying is done.

(D) To find how many hours of study can still produce a grade of 0, we need to set the function equal to 0 and solve for h.

[tex]-3h^2+24h+47=0\\[/tex]

This gives us two results when solved quadratically:

[tex]h=-1.63[/tex] and [tex]h=9.63[/tex]

Obviously, time cannot be negative so the answer is 9.63 hours.

(E) If we study for 5 hours, h should be equal to 5.

So substituting 5 for h we get:

[tex]-3(5)^2+24(5)+47=92[/tex]

So 5 hours of study affords us a grade of 92.

Hope that explains it.

Help me out here pleaseeeeeeeee

Answers

Answer:

1  1/5

Step-by-step explanation:

1 and 1 fifth as a fraction.

The last one 1 1/5 is the answer ;)

Had three thfk DJ back finding

Answers

The answer is d...........

The table represents the total miles traveled, y, after a number of hours, x.

Hours, x
Miles, y
2.5
150
4.0
240
5.5
330
7.0
420

Which linear equation represents the situation?

y = 60 x
y = 60 x + 480
y = 4 x + 240
y = 270 x

Answers

Answer:

y=60x

Step-by-step explanation:

i did it on edg2020

Answer:

(2.5,150)(4,240)

slope = (240 - 150) / (4 - 2.5) = 90 / 1.5 = 60

y = mx + b

slope(m) = 60

(4,240)...x = 4 and y = 240

now we sub and find b, the y int

240 = 60(4) + b

240 = 240 + b

240 - 240 = b

0 = b

so ur equation is : y = 60x + 0 which is written as : y = 60x <==

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