A bicycle has cash price $16 319.50. It can be bought on hire purchase with a deposit of $6 900 and ten monthly installments of $1 224.50 each.
a. What is the total hire purchase price for the bicycle? [3 marks]
b. Find the difference between the hire purchase price and the cost price for the bicycle. [1 mark]
c. Express your answer in (b) above as a percentage of the cash price.​

Answer:

- Shape A is congruent to Shape B because if you were to rotate one of the two and flip it the would like up and match.

Answer:

y=-8

just do it

Step-by-step explanation:

have a nice evening

Answer:

2. (x+6)+(x+6)+(x+6)

4. 3x+18

Why its (x+6)+(x+6)+(x+6)

Since there's a 3 next to (x+6), you are multiplying 3 and (x+6). That means there are three (x+6) groups. Thus, it's just (x+6)+(x+6)+(x+6).

Why its 3x+18

When you use the distributive property, you multiply 3 and x, and multiply 3 and 6, which gives you 3x and 18, which equals 3x+18.

Step-by-step explanation:

for both costs to be the same, the sum of the fixed and the variable costs must be the same.

so,

49631 + 10.25x = 12209 + 23.75x

37422 = 13.50x

x = 37422 / 13.5 = 2,772

the costs of both methods will be the same for 2,772 produced books.

Answer:

N=PD-2

Step-by-step explanation:

1. multiply both sides by D

[tex]pd = n + 2[/tex]

2.subtract 2 from both sides.

[tex]pd - 2 = n[/tex]

Answer:

x=25

Step-by-step explanation:

2(x-7) = 36

x-7 = 18

x = 25

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Answer:

I think the answer would be C, because

Step-by-step explanation:

Example:

If in 6(x) years Robert is 16(k), how old was he 3(m) years ago?

First, you would have to find out how old Robert is now, 16-6=10

Then, you would take 10, his current age, and subtract 3(m) 10-3=7

I hope this helped, good luck!

Since Robert will be [tex]k[/tex] years old in [tex]x[/tex] years, he must be [tex](k-x)[/tex] years old now.

Robert was [tex](k-x)-m[/tex] years old; [tex]m[/tex] years ago.

The answer is C.

The ratio of the length of the car to the length of the model is 15 : 1.

A ratio compares values. Ratio, is a term that is used to compare two or more numbers. in a simpler terms,  a ratio shows how many times one number contains another.

Therefore, the car is 10 feet long and the model is 8 inches long.

Hence, the ratio of the length of the car to the length of the model can be calculated as follows:

10 ft = 120 inches

Hence,

120 inches : 8 inches

let's reduce it by dividing by 8

120 / 8  : 8 / 8

Therefore, the ratio is 15 : 1

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The total change in the number of bushels for sale is 64.1 bushels.

Given

A farmer has 160 bushels of apples to sell at her roadside stand. Every day, she sells around a 13 7/10 bushel.

Let us calculate the overall change in the number of bushels she has available for sale after 7 days.

137/10

Now we'll figure out how many bushels she'll sell in seven days.

7 x 137/10

95.9

In 7 days, the farmer will sell 95.9 bushels. To calculate our overall change, subtract this figure from the total number of bushels of apples.

165 - 95.9 = 64.1

Thus, a total of 64.1 bushels have been added to the amount of bushels available for sale.

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Answer: the model car sold for $34, at a 15% discount.

Step-by-step explanation:

first multiply 5% by 3 days, for a total discount of 15%.

then apply the 15% discount to the $40 car, arriving at a price of $34.

Answer:

The car sold for 34 .

Step-by-step explanation:

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Answer:

9(x+3)

Step-by-step explanation:

9x + 27

Taking 9 as the common factor in the 2 terms

=> 9(x) + 9(3)

=> 9(x+3)

MATHEMATICALLY WE SAY

[tex] - 2 < x \leqslant 3[/tex]

THE CIRCLE AT THE ENDPOINT OF THE LINE WHICH IS NOT SHADED MEANS NOT INCLUDED AND THE SHADED CIRCLE MEANS INCLUDED

HOPE THIS HELPS.

On making b the subject , the formula is b =  (5/3)a  .

in the question ,

it is given that

the formula is a = 3(2a-b), where the subject is a ,

we have to rewrite the formula with b as the subject .

So, the given formula is

a = 3(2a-b)

simplifying the RHS , we get

a = 3*2a - 3*b

a = 6a - 3b

on re arranging the terms , we get

3b = 6a - a

3b = 5a

Dividing both sides by 3 ,we get

3b/3 = 5a/3

Cancelling out 3 from LHS , we get  

b = 5a/3

b = (5/3)a

Therefore , On making b the subject , the formula is b =  (5/3)a  .

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The figures in this problem are classified as follows:

The quadrilaterals, parallelograms and rectangles are classified as follows:

Hence, Figure RSTU, as the diagonals are congruent, is classified as all three of these characteristics.

For Figure KLMN, the opposite sides and angles are parallel, hence it is also a parallelogram, while ABCD is only a quadrilateral, as there is not enough information about the sides/angles.

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Answer:

Step-by-step explanation: X=-5,-4,-3,-2,-1 Y= -2,-3,-4,-3,-2

Answer:

The coordinates for the outlier are (14,13)

I believe it is a positive correlation

13.6 hours of sunshine would be my guess but I'm not 100% sure

I believe the last answer is A.

Answer:

the answer is 115 degrees

Step-by-step explanation:

x is opposite of 115 and would be the same because they are congruent

Answer:

  250 km

Step-by-step explanation:

Sarah traveled a total of 740 km, 2 hours more at a speed of 70 km/h than at a speed of 50 km/h. You want to know how far she traveled at 50 km/h.

The relations between time, speed, and distance are ...

  distance = speed × time

  time = distance/speed

If 'd' represents the distance (km) Sarah traveled by bus (at 50 km/h), then the time (hours) required was ...

  time = d/50

The time at 70 km/h is 2 hours more, and the total distance is ...

  total distance = (distance at 50 km/h) + (distance at 70 km/h)

  740 = d + 70(d/50 +2)

Simplifying the equation, we have ...

  740 = 2.4d +140

  600 = 2.4d . . . . . . . . subtract 140

  d = 250 . . . . . . . . . . . divide by 2.4

Sarah traveled 250 km by bus.

The domain and the range of the function are given as follows:

In the context of this problem, the domain is the time in minutes remaining until Gilroy reaches home, hence it is given by the following interval:

Domain: 0 ≤ Minutes ≤ 12.

The range is given by the distance that he has to drive until he reaches home, hence it is given by the following interval:

Range: 0 ≤ Miles ≤ 10.

The graph for us to verify the domain and range is missing, and it is given by the image at the end of the answer.

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The essay will need to be in your own words of course, but the basic idea is to replace x with 0 and solve for y to get the y intercept. To get the x intercept, replace y with 0 and solve for x.

Here's an example

2x+5y = 10

Let's find the x intercept

2x+5y = 10

2x+5(0) = 10

2x = 10

x = 5 is the x intercept

Now we'll do the y intercept

2x+5y = 10

2(0)+5y = 10

5y = 10

y = 10/5

y = 2 is the y intercept

The x intercept is the location where the graph crosses the x axis. The y intercept is where the graph crosses the y axis.

Answer:

-15, so option 1: -15

Step-by-step explanation:

We know that adding (-9) is the same as substracting 9.

So -6 + (-9) = -6 - 9 = -15

The linear equation which represents the situation or the amount of water in the bathtub in terms of the number of minutes is y = 7x + 18.

A straight line on the coordinate plane is represented by a linear function.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

Let's suppose the number of minutes by x and the amount of water by y

As per the given question,

The amount of water (y) initially (x = 0) is 18 gallons.

The first point (0,18).

The amount of water (y) at x = 5 is 53 gallons.

The second point (5,53).

The linear equation is given as y = mx + c where m is the slope.

Slope m = (53 - 18)/(5 - 0) = 7

Substitute (0,18) →

18 = 7(0) + c

c = 18

So the equation become as,

y = 7x + 18.

Hence "The linear equation which represents the situation or the amount of water in the bathtub in terms of the number of minutes is y = 7x + 18".

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Step-by-step explanation:

a slope-intercept form :

y = ax + b

"a" is the slope, "b" is the y-intercept (the y-value when x = 0).

the slope is the ratio (y coordinate change / x coordinate change) when moving from on point on the line to another.

"b" we can read off the graph : when x = 0, then y = -5.

so, b = -5.

for the slope let's pick 2 points. your teacher has kindly marked already points with integer coordinates.

so, I pick (3, 1) and (4, 3).

x changes by +1 (from 3 to 4).

y changes by +2 (from 1 to 3).

so, the slope is

+2/+1 = 2/1 = 2

the equation is

y = 2x - 5

Answer: y=2x-5

Step-by-step explanation:

Choose two points on the graph: (0,-5) and (3,1)

The straight line equation is: y=mx+b

1)

             [tex]\displaystyle\\\boxed {The\ slope\ m\ =\frac{y_2-y_1}{x_2-x_1} }[/tex]

[tex]\displaystyle\\x_1=0\ \ \ \ \ x_2=3 \ \ \ \ y_1=-5\ \ \ \ y_2=1\\\\ Hence,\\\\m=\frac{1-(-5)}{3-0} \\\\m=\frac{1+5}{3} \\\\m=\frac{6}{3} \\\\m=2\\\\Thus,\ y=2x+b\ \ \ \ \ (1)[/tex]

2)

To determine the coefficient b, take any of the two points,

for example, (0,-5), that is, x=0 y=5

Substitute these values into formula (1):

[tex]-5=2*0+b\\-5=0+b\\-5=b\\Thus,\ b=-5[/tex]

The result is y=2x-5

answer: 59+16=75

75 total in line

Answer:

10

Step-by-step explanation:

Answer:

  $21.45

Step-by-step explanation:

You want to know the amount of a 9.75% commission on $220.

The amount of the commission is the product of the commission rate and the sales amount to which it is applicable. A 9.75% commission on $220 will be ...

  9.75% × $220 = 0.0975 × $220 = $21.45

Nathan would earn a commission of $21.45 on the sale.

__

Additional comment

We know that a 10% commission can be found by moving the decimal point on the sale amount. A 10% commission on $220 will be $22.

The commission rate of 9.75% is 1/4% less than 10%. 1/4% can be found in two steps: find 1%, then find 1/4 of that.

As with 10%, the 1% amount can be found by moving the decimal point. 1% of $220 is $2.20. One-quarter of that will be $2.20/4 = $1.10/2 = $0.55.

This is the amount we must subtract from the 10% value to make it be 9.75%.

The 9.75% commission amount is $22.00 -0.55 = $21.45.

(The point of using a strategy like this is that you can do the math mentally.)

Answer:

8

Step-by-step explanation:

8/3 * 3/1 = 24/3= 8

The length of a side of the square is 9 centimeters. The length of the diagonal is 12.73 centimeters.

A square is an object that has four sides of equal length. A square has two diagonals that biscect each other at 90°. The diagonals are of equal length. The diagonals of a square divide the square into two right triangles.

Area of a square = length²

Length = √area

√81 = 9cm

Pythagoras theorem can be used to determine the length of the diagonal.

The Pythagoras theorem: a² + b² = c²

Where:

9²  + 9²

= 81 + 81

= √162 = 12.73 cm

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