Ben has £24
He gives £16 to Rhys.

a) What fraction of the £24 does Rhys get?
Give your answer in its simplest form.

b) What fraction of the £24 does Ben have now?
Give your answer in its simplest form.

Answer:

x = 11

Step-by-step explanation:

divide both sides by 7

x = 11

From the given image, we have that:

1. The distance from A to B is of 6 units.

2. The lengths are given as follows:

3. The length of segment AD is of 5 units.

When two points have one equal coordinate, as is the case in this problem for AB, CD and BC, the distance is given by the subtraction of the different coordinate.

Hence, considering the coordinates of the vertices on the given image, the distances are given as follows:

The perimeter of a polygon is the sum of the lengths of all the outer sides of the polygon, hence:

P = AB + CD + BC + AD.

The perimeter in this problem is of 18 units, hence the length of AD is given as follows:

18 = 6 + 3 + 4 + AB

13 + AB = 18

AB = 5 units.

The figure is missing and is given by the image at the end of the answer.

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Answer:

the answer is f'(x)=3x^2-6x-4

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{3}{8}\ of\ \dfrac{4}{5}}[/tex]

[tex]\mathsf{= \dfrac{3}{8}\times \dfrac{4}{5}}[/tex]

[tex]\mathsf{= \dfrac{3\times4}{8\times5}}[/tex]

[tex]\mathsf{= \dfrac{12}{40}}[/tex]

[tex]\mathsf{= \dfrac{12\div4}{40\div4}}[/tex]

[tex]\mathsf{= \dfrac{3}{10}}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{\dfrac{3}{10}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The amount that Lou spent in gas is $20.52.

Lou's car had 5.7 gallons in the 14 gallon tank on the coldest day of the year and he filled the tank with gas that cost $3.60 per gallon.

The cost for the amount spent in gas will be:

= Gallons filled × Cost per gallon

= 5.7 × $3.60

= $20.52

The amount is $20.52.

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Given data:

The given expression is -x^2-9x-9=0.

The descriminant of the given equation is,

Thus, the descriminant of the given equation is 45.

The graph A is the one that accurately represents the side length of the bigger frame S(x).

Modeling the function S(x) by

S(x) has experienced the following changes:

a 1 shift to the right, as shown by the square root's value of -1;

S(x) travels to the right by 1 = 0 + 1 = 1 whereas f(x) stays at 0.

The graph is stretched by a factor of 3 (a number that multiplied the square root).

Consequently, the graph A shows the two changes on S. (x). As a result, it is the best choice.

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Answer:

Explanation:

In

Answer:

(6,0)

(-2,0)

2,-3

-3,-2

7,7

Step-by-step explanation:

Starting with the inequality:

We have two cases:

Case 1: 4x-6≥0

Since 4x-6≥0, then |4x-6| = 4x-6. Then:

Case 2: 4x-6<0

Since 4x-6<0, then |4x-6| = -4x+6. Then:

The solution set of the inequality is all the numbers x which are greater or equal to 1/2 AND lower or equal to 5/2:

The graph of the solution is a number line from 1/2 to 5/2 including the endpoints:

The interval notation of the solution, is:

The solution set S is:

The question is really asking for the unit rate but on a supposedly linear graph that is not to scale, so it is difficult to evaluate real rates.

Utilizing differentiation, the biggest value of y=0 in the system's solution set.

One of the two fundamental concepts of calculus is differentiation. Differentiation is a method for finding a function's derivative. Differentiation is a mathematical technique used to calculate the instantaneous rate of change of a function based on one of its variables. Velocity, or how quickly a distance varies in respect to time, is the most common example. Differentiation's opposite is finding an antiderivative.

Differentiating the 1st equation, we get

x=5.5

Putting back in the equation.

y = -5.75

and differentiating the 2nd equation, we get

x=3

Putting back in the equation

y= 0

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We need to solve the equation

In order to do so, we can first divide both sides of the equation by 400:

Now, to isolate the variable t on the left side and find its value, we can divide both sides by 1.065:

Therefore, rounding to two decimal places, the answer is 2.00.

The fixed $30 unlimited calls charge for Plan 1 and the initial charge as well as a charge per call of $0.03 calls in Plan 2 gives;

a. The inequality that indicates the number of calls for which Plan 1 is more economical than Plan 2 is presented as follows;

30 > 15 + 0.03•x

Which gives;

x > 500

b. The meaning of the inequality, in part a. is that Plan 1 is more economical than Plan 2 when more than 500 calls are made

An inequality makes a comparison between two values that are not equal.

The given parameters are;

The billing plan for Plan 1 is presented as follows;

Charges, C = $30

The charges of the billing plan for Plan 2 is presented as follows;

Where;

x = The number of calls made per month

a. The inequality that can be used to find the number of monthly calls for which Plan 1 is more economical than Plan 2 is found as follows;

At the start of registration for each plan, we have;

Cost of Plan 1 = $30

Cost of Plan 2 = $15 + $0.03 × 0 = $15

Therefore, Plan 2 is initially more economical than Plan 1

At the point (or number of calls) at which the expenses for both plans are the same, we have;

30 = 15 + 0.03 × x

Which gives;

From the above equation, we have that after 500 calls, the expenses of both plans will be the same

The inequality that gives the number of calls for which Plan 1 is more economical than Plan 2 is therefore;

30 > 15 + 0.03•x

Which gives;

b. The meaning of the inequality, x > 500 is that Plan 1 is becomes more economical than Plan 2 when a person makes more than 500 calls in a month

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Given:

You can find the antiderivative by integrating it:

1. Set up:

2. You can rewrite it in this form:

3. Apply this Integration Rule:

Then, you get:

4. Simplify:

Remember this Property for Radicals:

You can rewrite the expression in this form:

Applying this Property for Radicals:

You get:

5. Knowing that:

You obtain:

Hence, the answer is:

The probability that one friend is pregnant with identical twins, and one friend is pregnant with fraternal twins is 0.000045.

From the information illustrated,

Let A = event that one friend is pregnant with identical twins, and note that P(A)=0.0045.

Let B = event that the other friend is pregnant with fraternal twins, and note that P(B)=0.01.

Therefore, the probability will be gotten by using the multiplication for two independent events. This will be:

= P(A) × P(B)

= 0.0045 × 0.01

= 0.000045

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Answer:

Rose.

Step-by-step explanation:

Because the number is positive, it does not symbolize a withdrawal, it shows. deposit.

I hope this helps!

P.S, Brainliest if correct, thanks!

Answer:

B

Step-by-step explanation:

Musicologists generally define the Classical period of music as ranging from 1730 to 1820. Classical era music followed the late Baroque period of music.

Solution:

The slope-intercept form of a line with slope m and y-intercept b is given by the following formula:

On the other hand, the slope m is given by the following equation:

where (X1,Y1) and (X2,Y2) are points on the line. In this case, we can take the points:

(X1,Y1) = (1,2)

(X2,Y2) = (-1,-1)

replacing this data into the slope equation, we get:

thus, the slope of the line would be:

now, replacing this into the slope-intercept form of the line we get:

EQUATION 1

We only need to find the y-intercept b. For that, take any point on the line, for example (x,y) = (1,2), and replace it into the previous equation:

this is equivalent to:

solving for b, we get:

that is:

finally, replacing this into the EQUATION 1, we get:

then, the slope-intercept form of a line with the points (1,2) and (-1,-1) would be:

The zeros and their multiplicities are:

-2 with multiplicity 3

0 with multiplicity 1

2 with multiplicity 1

The polynomial function is therefore given as:

Therefore, the polynomial function of degree 5 is:

wo mechanics worked on a car the first mechanic worked for 10 hours and the second mechanic worked for 15 hours together they charged a total of $2,450 what was the rate charge per hour by each mechanic if the sum of the two rates was $185 per hour

Let

x -----> the rate of the first mechanic

y -----> the rate of the second mechanic

we have that

x+y=185 -------> equation A

10x+15y=2,450 ------> equation B

Solve the system of equations by graphing

see the attached figure

therefore

A line is uniquely defined by two points. So, we only need to find two points that lie on the line.

[tex]x=1 \implies y=4(1)-1=3\\\\x=2 \implies y=4(2)-1=7[/tex]

So, you can draw the line through (1, 3) and (2, 7).

The correct explanations are;

2. Given

3. By definition of complementary angles.

5. ∠1 + ∠3 = 90°

6. By definition of complementary angles.

What are complementary angles?

Sum of two or more are angles are 90 degree then, angles are called Complementary angles.

Given that;

∠1 and ∠2 are complementary angles.

And, ∠2 ≅ ∠3

Now,

  Statements                                         Reasons

1. ∠1 is a complementary of ∠2.             1.  Given

2. ∠2 ≅ ∠3                                            2.  Given

3. m ∠1 + m ∠2 = 90°                             3.  By definition of                                          

                                                                complementary angles.

4. m ∠2 = m ∠3                                      4.  Definition of congruency.

5. m ∠1 + m ∠3 = 90°                            5.   Substitution property.

6. ∠1 is a complementary of ∠3.             6.  By definition of                                          

                                                                complementary angles.

Thus, The correct explanations are;

2. Given

3. By definition of complementary angles.

5. ∠1 + ∠3 = 90°

6. By definition of complementary angles.

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To calculate the balance on the account after 5 years you have to calculate the simple interest using the formula:

A= total accured amount

P= principal amount

r= interest rate expressed in decimals

t=time

For

P=$5250

r=0.035

t=5years

The balance on the account will be:

At the end of the 5 years there will be $6168.75

The number of letters in the word MATH IS

To rearrange a letter with n letters to form a four-letter code will be

Hence,

The number of ways of rearranging the words will be

This problem is a bit different. Instead of choosing one item from each of several different

categories, we are repeatedly choosing items from the same category (the category is: the

letters of the word MATH) and each time we choose an item we do not replace it, so there is

one fewer choice at the next stage: we have 4 choices for the first letter (say we choose A),

then 3 choices for the second (M, T, and H; say we choose H), then 2 choices for the next

letter (M and T; say we choose M) and only one choice at the last stage (T). Thus, there are

4 · 3 · 2 · 1 = 24 ways to spell a code word with the letters MATH.

Hence,

The final answer = 24 ways

Answer:

The fair price of the game is $54.75

The player is expected to win $54.75

Explanation:

Here, we want to get the fair prize of the game

From the question, there are 4 prizes

When reaching into the box, we can only pick 1

Assuming that each of the prizes have the same probability oof being picked, the probability of picking any of the prize is 1/4

Now, to get the fair price of the game (it is obviously positive as we do not know if the player has anything to lose)

We have to multiply the probability by each of the price tag, then sum

Mathematically,we have this as:

Triangle area is equal to

Height = (x + 2) feet

= 24 square feet

24 = 0.5(x)(x+2) \s0.5(x)(x + 2) = 24

The formulas that can be used to determine the triangle's leg lengths must be equivalent to 0.5(x)(x + 2).

To elaborate on this: 0.5(x)(x + 2) = 24

2(x2 + 2x + 48)= 0 is equivalent to 0.5(x2 + 2x) = 24.

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Solution

The answer is given in the graph below

Answer:

-3

Step-by-step explanation:

question is asking, which is larger. -3 is larger than -4