5

A school rewards students for good work by giving them merit points.

James has x merit points.

Sarah has three times as many merit points than James.

Robert has 68 fewer merit points than James.

ETTER

GRADE

Each merit point is worth 3 pence.

All three of the students have a total of £15.81

EFFECT

Work out how many merit points each student has.

Irk

James:

Your

Marks

Sarah:

Robert

Answers

Answer 1

Answer:

James = 119 points

Sarah = 357 points

Roberts = 51 points

Step-by-step explanation:

Given that :

James = x points

Sarah = 3x points

Roberts = x - 68 points

Each point = 3 pence

All students have a total of £15.81

1 pound = 100 pence

£15.81 pound = 1581 pence

3x + 3(3x) + 3(x - 68) = 1581

3x + 9x + 3x - 204 = 1581

15x - 204 = 1581

15x = 1581 + 204

15x = 1785

x = 1785 / 15

x = 119

Hence,

James = 119 points

Sarah = 119 * 3 = 357 points

Roberts = 119 - 68 = 51 points


Related Questions

I need help with this can you help me

Answers

Answer: 2.5 in, 7.5 in, and 5 in.

Step-by-step explanation:

you would divide each side by 2

5 inches to 2.5

15 inches to 7.5

and 10 inches to 5

2.5 in, 7.5 in, 5 in

HELP MEEEEEEEEEEE plz :D

Answers

A = -75
B = -60
C = -45
D = -15
E = 15
F = 30

1 Write the slope-intercept form of the equation of the line. -​

Answers

Step-by-step explanation:

x=0 y=2

x=-2 y=0

y=mx+b

b=2

0= -2m+2

2m=2

m=1

y= x + 2

Find f(x) where
f(x) = 3x+2/x

Answers

Answer:

[tex] \huge f ^{-1}(x) = -\frac{ 2}{3 - x} [/tex]

Step-by-step explanation:

to understand thisyou need to know about:inverse functionPEMDASgiven:[tex]f(x) = \frac{3x + 2}{x} [/tex]to find:[tex] {f}^{ - 1} (x)[/tex]tips and formulas:

inverses of common function

[tex] + < = > - [/tex][tex] \times < = > \div [/tex][tex] \frac{1}{x} < = > \frac{1}{y} [/tex][tex]x ^{n} < = > \sqrt[n]{y} [/tex]let's solve:[tex]step - 1 : define[/tex][tex]f(x) = \frac{3x + 2}{x} [/tex][tex]step - 2 : solve[/tex][tex]substitute \: y \: for \: f(x) \\ y = \frac{3x + 2}{x} [/tex][tex]interchange \: x \: and \: y \: and \: swap \: the \: sides \: of \: the \: equation\\ \frac{3y + 2}{y} = x[/tex][tex]multiply \: both \: sides \: of \: the \: equation \: by \: y \\ \frac{3y + 2}{y} \times y = x \times y \\ 3y + 2 = xy[/tex][tex]move \: the \: constant \: and \: the \: expression \: to \: the \: right \: and \: left \: hand \: sides \: and \: change \: its \: sign \: respectively \\ 3y - xy = - 2[/tex][tex]factor \: out \: y \: from \: the \: expression \\ (3 - x)y = - 2[/tex][tex]divide \: both \: sides \: by \: 3 - x \\ \frac{(3 - x)y}{(3 - x)} = \frac{ - 2}{3 - x} [/tex][tex] y = \frac{ - 2}{3 - x} [/tex]

[tex] \therefore \: f ^{-1}(x) = -\frac{ 2}{3 - x} [/tex]

PLS HURRY!!!!!!!!! YOU WILL BE THE BRAINLIEST.

Which data collections show bias? Check all that apply.
An English teacher polls the top-ten most avid readers to find their favorite books.
An insurance company polls drivers of sports cars to find their average number of tickets.
A restaurant manager surveys every tenth customer for one week.
An assistant principal surveys each student who is sent for discipline.
A fundraiser organizer draws five names from a hat that contains all entries.

Answers

Answer:

The English teacher, restaurant manager, and assistant principal show bias.

Step-by-step explanation:

The data collection for each survey is only gathering data from one small portion of the total population that could be surveyed.

Answer:

A, B, D

Step-by-step explanation

I got it right on the quiz on Edge 2021.

An appliance store decreases the price of a​ 19-in. television set ​16% to a sale price of $509.88. What was the original​ price?

Answers

Answer:

the original price 3186.75

Pleaseeeee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

x = 6

Step-by-step explanation:

(5x-24)/2 = 3

2.5x - 12 = 3

2.5x = 15

x = 6

Shreks doo doo duhhhhhh

4 years ago, the age of two sisters combined equal 24 years, and the younger sister was 8 years younger. How old are they today?

Answers

20 and 12 ...............

Find the area, to the nearest hundredth, of the figure

Answers

Answer:

Step-by-step explanation:

hypotenuse = √(14.4² + 6²) = √243.36 = 15.6 mi

area of triangle = 0.5×6×14.4 = 43.2 mi²

radius of semicircle = 15.6/2 = 7.8

area of semicircle = πr² = 60.84π mi²

total area = 43.2 + 60.84π ≅ 234.33 mi²

The point Q(4, 2) is translated 8 units left and 7 units down. What are the coordinates of
the resulting point,

Answers

Answer:

(-4,-5)

Step-by-step explanation:

Start from the original point and go 8 units to the left and 7 units down and plot the point.

is the function a^x increasing or decreasing?

is the function for a^-x increasing or decreasing?


Anyone please help asap for these both questions. thank you

Answers

Answer:

The function a^x is increasing, while a^-x is decreasing.

Step-by-step explanation:

The reason for this is the negative. a^x is increasing due to the positive power, while a^-x is decreasing to the negative power.

I hope I helped:)

I would appreciate Brainliest ;)

At Pete's pizza, the cost of a 1 topping pizza is $17.35 and the cost of a 3 topping pizza is $21.05.
Assuming the cost of a pizza follows a linear model, write an equation that represents C, the cost of any pizza with t,toppings.

Answers

Answer:

3

Step-by-step explanation:

17.35 * 3

How to find the slope and y intercept from two coordinate pairs

Answers

first use the slope formula to form the slope
m = (y2-y1)/(x2-x1)
and then find the y intercept by (0,b)
then plug m and b into
y=mx+b

Answer:

Slope: y2-y1/x2-x1

Step-by-step explanation:

You find slope from two coordinate pairs by using the slope formula(y2-y1/x2-x1) or rise over run from a graph.

To find y-intercept, x needs to be 0 on a graph.

Hope this helps!

x - 8 = 40 solve in word form

Answers

Answer: 48

Step-by-step explanation:

add 8 to both sides

-8 and 8 both cancel out and 40 and 8 add to 48

5.
a. Are triangles ABC and DEF similar?
Show or explain your reasoning.

Answers

YES they are!!!
explanation : if you rotate the angel to the right way they are very similar in shape and angels!!

Yes, the triangles are similar to each other by AA rule and EF = 8.

What is similarity in triangles?

When two triangles have congruent corresponding angles and corresponding sides in equal ratio, then they are said to be similar.

Given are the triangles, Δ ABC and Δ DEF,

In Δ ABC,

∠A + ∠B + ∠C = 180°

∠B = 180°- (60°+20°)

∠B = 100°

In Δ DEF,

∠D + ∠E + ∠F = 180°

∠F = 180° - (60°+100°)

∠F = 20°

∠A ≅ ∠D

∠B ≅ ∠E

∠C ≅ ∠F

We see, all the corresponding angles are congruent.

Therefore, according to definition of similar triangles Δ ABC ~ Δ DEF,

And,

AB/DE = BC/EF = AC/DF = 3/4

BC/EF = 3/4

6/EF = 3/4

EF = 8

Hence, the triangles are similar to each other by AA rule and EF = 8.

For more references on similarity in triangles, click;

https://brainly.com/question/25882965

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Determine the value of x. Assume the segments that appear tangent
are tangent

Answers

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

Segment lengths of each chord have the same product.

  (x -2)(x +6) = 9×20

  x² +4x -12 = 180

  x² +4x +4 = 196 . . . . . add 16 (complete the square)

  (x +2)² = 14²

  x +2 = 14 . . . . . . . . . . . positive root is the only one useful

  x = 12

square abcd has an area of 4m^2. square pqrs has an area of 36m^2. What is the similarity ratio of square abcd to square pqrs

Answers

Answer:

1:9

Step-by-step explanation:

Item 7 Adam is selling cookies for a fundraiser. The cookies cost him $1.49 a box. He is selling them for $2.25 a box. Adam sold 209 boxes of cookies. How much profit did Adam earn?

Answers

1.49 x 209 = $311.41
2.25 x 209 = $470.25

470.25 - 311.41 = $158.84


Hope this helps :))

You picked two marbles from a bag and record their color. How can you make your selections independent events? Dependent events?

Answers

Answer:

Let's suppose the next case:

We have a bag, where there are 5 red marbles, and 5 blue marbles.

We have a total of 10 marbles.

Suppose that we pick a marble and we do not replace it, and suppose that the first one is a red marble.

Then now we have in the bag a total of 4 red marbles and 5 blue marbles.

Now let's find the probability of picking a blue marble, this will be equal to the quotient between the number of blue marbles (5) and the total number of marbles (9)

P = 5/9

Now, suppose that instead of a red marble in the first pick, we had a blue marble.

Then now we have 4 blue marbles and 5 red marbles in the bag.

Again, the probability of picking a blue marble will be equal to the quotient between the number of blue marbles (4) and total numbergof marbles (9)

P = 4/9

Then the first pick does affect the probabilities for the second pick, this means that if we do not replace the first marble we pick, then the events will be dependent.

Now, if we replaced the first marble we picked (we put it again in the bag) then the number of blue marbles and red marbles is always the same, then in this case bot events will be independent (the first event will not affect the second event)

could you help me with the 2 questions plz

Answers

Answer:

2. 64

3. 2

Step-by-step explanation:

Drag and drop each equation to match the type of solution.

Answers

Answer:

B, A, C

Step-by-step explanation:

Please Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1111

Answers

The equation will be:

x+12=38

Which expression represents "the product of a and b decreased by 9"?

Answers

Answer:

ab-9

Step-by-step explanation:

the product of a and b: a*b

decreased by 9: -9

Answer:

The person above be is correct

Step-by-step explanation:

I figured I would let everyone know so they can trust it anyway have a good day☺️

A camera has a listed price of $594.99 before tax. If the sales tax rate is 7.25% , find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

$638.16

Step-by-step explanation:

594.99x7.25%=43.17

594.99+43.17=638.18

A cylindrical can of tennis balls holds a stack of three tennis balls so that they touch the can at the top,bottom,and sides. The radius of each tennis ball is 1.25 inches. Find the volume inside the can that is not taken up by three tennis balls.round to the nearest tenths.

Answers

Answer:

3.7555555536321

Step-by-step explanation:

Find the measure of angle 1

Answers

Answer:

112 Degrees

Step-by-step explanation:

46+90=136

360-136=224

224/2=112

112 Degrees

Answer:

122

Step-by-step explanation:

46 + 90 = 136

360 - 136 = 224

224 ÷ 2 = 122

What's the circumference of a
circle with a diameter of 31 inches?
Use 3.14 for pi.

Answers

Answer:

circumference = 97.34

Step-by-step explanation:

circumference = diameter x Pi

31 x 3.14 = 97.34 inches

The circumference of the circle with a diameter of 31 inches is approximately 97.34 inches.

The circumference of a circle can be calculated using the formula C = πd, where C represents the circumference and d represents the diameter of the circle.

Given that the diameter of the circle is 31 inches, we can substitute this value into the formula:

C = 3.14 * 31

C ≈ 97.34 inches

Therefore, the circumference of the circle with a diameter of 31 inches is approximately 97.34 inches.

To know more about circumference click here :

https://brainly.com/question/26605972

#SPJ2

Which graph shows a proportional relationship?

Answers

Answer is C I’m pretty sure

There is a linear relationship between the variables x and y. And the line that passes through the origin. Then the correct option is C.

What are ratios and proportions?

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

Let the two variables x and y.

Where x is an independent variable and y is the dependent variable that depends on x directly. Then we have

The variable y is directly proportional to the variable x.

y ∝ x

When the proportionality sign is removed a constant k comes into the equation. That is given as

y = kx

There is a linear relationship between the variables x and y.

And the line that passes through the origin.

The graph is shown below.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

Friday: What is the geometric mean of 9 and 10?
Write answer in simplified radical form (use the factor tree) I NEED HELP ASAPPPPP

Answers

The geometric mean of 9 and 10 is 9.5 as (9 x 10)^1/2 which is (90)^1/2 which is 9.48 and that rounded is 9.5 but in simplified radical form it’s 3 √10

Can someone please Classify the angles ? I don’t need a conclusion ....

Answers

Answer:

Right triangle

Step-by-step explanation:

A right triangle is a triangle in which one angle is a right angle.

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