Andy has £145 in his bank account. He pays in a cheque for £256 and
another for £108. Later he withdraws £560.
If the account is overdrawn by more than £50, his bank charges him
£25.
a
Does the account become overdrawn?

The correct statements are,

⇒ m ∠x + m ∠y = 180°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Angles are shown in figure.

Now, By definition of supplementary angle, we get;

⇒ m ∠x + m ∠y = 180°

Thus, The correct statements are,

⇒ m ∠x + m ∠y = 180°

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ5

Answer:

Light blue, second option

Step-by-step explanation:

Hope that helps :)

Answer:

Draughts

Step-by-step explanation:

It still counts

Answer:

276 cm²

Step-by-step explanation:

A=2(wl+hl+hw)

A=2(4x7+10x7+10x4)

A=2(28+70+40)

A=2(138)

A=276 cm²

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=4x+3

Answer: 6/(6+2x) ; (-infinity, -3) U (-3, infinity)

Step-by-step explanation:

(a) This can be read as f(x) composed of g(x). Plug in the expression given for g(x) for every x value in f(x):

(6/x)/(6/x+2)

I gave the terms in the denominator the same denominator to combine the bottom two terms into one term. 6/x + 2 is equal to 6/x + 2x/x -->

(6 +2x)/x

Do the classic keep, change, flip. \(\frac{6}{x} * \frac{x}{6+2x}\)

This simplifies to: \(\frac{6}{6+2x}\)

(b) Domain is all real numbers except for what makes the denominator equal to 0.     6 + 2x = 0 when x = -3. Therefore it is all real numbers except -3.

Answer:

the lcm is 2 x 2 x 5 x 2 x 2 x 2

Step-by-step explanation:

The graph has an asymptote at y = 0 and is increasing as x approaches positive Infinity. Then the correct option is A.

An asymptote is a line that constantly reaches a given curve, but does not touch at any infinite distance.

Graph the given function.

f(x) = (7)ˣ

The graph of the function is given below.

From the graph, the graph has an asymptote at y = 0 and is increasing as x approaches positive Infinity.

Then the correct option is A.

The complete question is given below.

More about the asymptote link is given below.

https://brainly.com/question/17767511

#SPJ2

Answer:

  184 5/7 pages

Step-by-step explanation:

There are 7 days in a week. If Madeline wants to read equal portions of the book each day, each of those portions must be 1/7 of the book, or ...

  1/7 × 1293 pages = 184 5/7 pages

Madeline will need to read 184 5/7 pages each day in order to finish.

Answer:

6.286;

0.0165

0.976

0.1995

Step-by-step explanation:

Given that :

Mean, μ = 243. 4

Standard deviation, σ = 35

Sample size, n = 31

1.)

Standard Error

S. E = σ / √n = 35/√31 = 6.286

2.)

P(x < 230) ;

Z = (x - μ) / S.E

P(Z < (230 - 243.4) / 6.286))

P(Z < - 2.132) = 0.0165

3.)

P(x > 231)

P(Z > (231 - 243.4) / 6.286))

P(Z > - 1.973) = 0.976 (area to the right)

4)

P(x < 248)

P(Z < (248 - 243.4) / 6.286))

P(Z < 0.732) = 0.7679

P(x < 255)

P(Z < (255 - 243.4) / 6.286))

P(Z < 1.845) = 0.9674

0.9674 - 0.7679 = 0.1995

Measuring to fit a cabinet opening includes a few extra steps to get the doors made in the right sizes for your remodel or renovation:  

Measure the inside edges: When measuring the width, measure from left to right, starting with the inside edge of the left stile (vertical part of the face frame) to the inside edge of the right stile. When measuring height, measure from the inside edge of the bottom rail (horizontal part of the face frame) to the inside edge of the top rail. We build to 1/16 inch increments, so be precise.

Add space for door overlay: Cabinet doors for framed cabinets must be larger than the cabinet opening to look right and close properly. We refer to this as an "overlay". The industry standard for most cabinet doors is a 1/2 inch overlay around the cabinet door. To create a 1/2 inch door overlay on all four sides, add 1 inch to your total height, and 1 inch to your total width

Answer:

17,242 cm³

Step-by-step explanation:

Step 1:

Volume of square prism = (area of base) * height

Volume of square prism = (25 * 30) * 25

Volume of square prism = 750 * 25

Volume of square prism = 18,750 cm³

Step 2:

Volume of cylinder = (area of base) * height

Volume of cylinder = (π * (8/2)²) * 30

Volume of cylinder = 16π * 30

Volume of cylinder = 480π

Volume of cylinder ≈ 1,508 cm³

Step 3:

Volume of composite = (Volume of square prism) − (Volume of cylinder)

Volume of composite = 18,750 cm³ − 1,508 cm³

Volume of composite = 17,242 cm³

The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

Learn more about frequency distribution at: https://brainly.com/question/27820465

#SPJ1

The equation that models the taxi fare F as a function of the number of miles driven is F = 2.40 + 0.40m

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, the Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile.

The function will be:

F = 2.40 + (0.40 × m)

F = 2.40 + 0.40m

where m = number of miles

F = taxi fare.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Answer:

$115

Step-by-step explanation:

15x6=90

90+25=115

how many different types of omlettes can be prepared with 10 ingredients? 7

Answer:

1024 omelets

Step-by-step explanation:

2^10 = 1024

Answer:

Step-by-step explanation:

Answer:

( -1 , -3 ) , ( 4 , -3 ) , (4 , -1 )

Answer:

used formula to find Area of parallelogram

area of parallelogram =b× h

Step-by-step explanation:

solution :

given ,

h = 7cm

b = 9 cm

we know ,

Area of parallelogram = b× h

=63cm²

Answer:

Answer is in the attached photo.

Step-by-step explanation:

The solution is in the attached photo, do take note a variable is a alphabet can be assigned to any value, while a constant is a fixed number or value.

Answers:

variable = t

constant = -7

Step-by-step explanation:

So we know that a variable is a letter while a constant is a number

in here -7 is the constant (the number) and t is the variable (the letter)

Therefore, the variable is t and the constant is -7.

Answer:

width = 9 inches

length= 20 inches

perimeter of the rectangle=2(9+20)

2w +2L= 2×29

=58 inches

area of the rectangle=w×L

=9×20=180 inch²

Answer:

The standard error of your estimate of the average height in the city is 0.5 inches.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

You begin by collecting the heights of a random sample of 196 people from the city.

This means that \(n = 196\)

The standard deviation of the heights in your sample is 7 inches.

This means that \(\sigma = 7\)

The standard error of your estimate of the average height in the city is

\(s = \frac{\sigma}{\sqrt{n}} = \frac{7}{\sqrt{196}} = 0.5\)

The standard error of your estimate of the average height in the city is 0.5 inches.

The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.

When anything is referred to as being "long," it refers to its overall length. In other words, it is the larger of the third or upper two dimensions of a geometric object. An example of a shape with two dimensions is a rectangle.

To find out how many seconds it takes for the water bottle to travel the length of the belt, we can use the equation:

distance = rate x time

We know the distance (294 feet) and the rate (7 feet per 6 seconds). Let's solve for time:

294 feet = (7 feet/6 seconds) x time

294 feet x 6 seconds = 7 feet x time

1764 seconds = 7 feet x time

time = 1764 seconds / 7 feet

time = 252 seconds

So it takes 252 seconds for the water bottle to travel the length of the belt.

Now let's calculate the sorter's error:

343 seconds - 252 seconds = 91 seconds

The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.

To know more about length visit:

brainly.com/question/29868754

#SPJ1

Answer:

28

Step-by-step explanation:

Since the line is perpendicular to the line coming out of the middle of the circle, both sides are going to be the same. So 14 + 14 =28

If you need more help, you can comment! :)

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

answer is 3 upon 4

Step-by-step explanation:

because if we reduce 18/24 to its lowest term so first we have to reduce 18 to and then 24 --- 18 is factor of 9x2 and 24 is factor of 12x2 then we have to cut 2 in both and there is answer 9 upon 12 still it is reducing so 3x3 is 9 and 3x4 is 12 so now we have to cut 3 in both the answer is 3 upon 4

The percentage change in GDP is 2.04%

Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.

The formula of percentage change is given as

Percentage change =[ (New increase - old value) / old value] * 100

Percentage change = [(14.72 - 14.42) / 14.72] * 100

Percentage change = 2.04%

In this case, there is a percentage decrease of 2.04%

Learn more on percentage change here;

https://brainly.com/question/8728504

#SPJ1

Answer:

Step-by-step explanation:

You want to identify the given shapes as a regular or irregular polygon, or neither.

A regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.

Polygon E is a regular polygon.

A polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.

Any simple polygon that is not a regular polygon is an irregular polygon.

Polygons A, B, D are irregular polygons.

A circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.

<95141404393>