Henry and Gavin win some money and share it in the ratio 5:3. Henry gets £14 more than Gavin. How much did they get altogether?​

Answers

Answer 1

Answer:

Total amount = £56

Step-by-step explanation:

Let Henry and Gavin be H & G respectively.

Let Henry's and Gavin's share be x.

Given the following data;

Ratio of H to G = 5:3

Henry = G + £14

Translating the word problem into an algebraic expression, we have;

5x = 3x + 14

5x - 3x = 14

2x = 14

x = 14/2

x = £7

Next, we determine the amount earned by Gavin;

Gavin = 3x

Gavin = 3*7

Gavin = £21

For Henry;

Henry = G + £14

Henry = £21 + £14

Henry = £35

Now, to find the total amount earned by Henry and Gavin.

Total amount = H + G

Total amount = 35 + 21

Total amount = £56


Related Questions

Which term best describes the sequence 1,5,9,13,17,...?
a.Geometric
b.Arithmetic
c.Quadratic
d.Neither​

Answers

Answer:

Arithmetic sequence

Step-by-step explanation:

Each term is the previous term +4 so it is an arithmetic sequence

Which set of ordered pairs represents a
function?
A. {(-1, 1), (0,0),(1, 1), (2, 2)}
B. {(3,-3), (2,-2),(1,-1),(1, 1)}
C. ((4,2), (4,-2),(9,3), (9,-3))
D. {(-2,-1), (-2,0),(-2,1),(-2,2)}

Answers

Answer:

A

Step-by-step explanation:

The x-value for a function cannot be repeated, i.e. each x-value (domain) must correspond to only one y-value (range).

The answer Is A, hope this helps

Enter the resulting inequality.
13>-3; Subtract 13 from both sides.
The resulting inequality is

Answers

Answer:

10>-6

Step-by-step explanation:

Subtract 3 from both sides, 13-3=10, -3-3=6

The original inequality is true

Answer:

The answer is 0>-16

Step-by-step explanation:

[tex]13 > - 3 \\ 13 - 13 > - 3 -1 3 \\ 0 > - 16[/tex]

The population of Dawn land is changing exponentially. This change is modeled by the function f(x) = 60,000(1.01)x . Interpret the function to describe how the population changes. Explain how you know.

Answers

Answer:

The function has an initial population size of 60,000 which increase at a rate of 1%

Step-by-step explanation:

Given the expression :

f(x) = 60,000(1.01)^x

Since 1.01 > 1 (exponential

The general form of an Exponential growth function.

y = p(1 + r)^x

p = 60000 = initial population

1 + r = 1.01 ; where r = growth rate

r = 1.01 - 1 ; r = 0.01 =

r = 0.01 * 100% = 1% growth rate

i missed a day of school and we started a new unit lol

Answers

180-90-45 = 45 so 45

please help!!!! find the value of x

Answers

Answer:

The answer is x+2=7,

Step-by-step explanation:

because x is a variable

welppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

They are all acute triangles or iscoles triangles

Step-by-step explanation:

There are 21 Year 8 pupils in a music club, out of a total of 37 pupils.
Write this proportion as a percentage.
Give your answer correct to 1 decimal place when appropriate.

Answers

Answer:

.567

Step-by-step explanation:

The original ratio is 21:37

Any ratio is a fraction

A fraction is a division problem

Rewrite the ratio as a fraction : 21:31---> 21/31

Divide 21 by 31 and you get .567

How to find a tangent ratio

Answers

Answer:

The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta. It is very commonly abbreviated as tan.

19u=2,527. Solve the equation

Answers

Answer:

=133

Step-by-step explanation:

1. Divide both sides of the equation by the same term

19=2527

2. Simplify

If you divide numbers you will get:

=133

And that's the answer

I hope this helps     :)

Which graph represents y as x as a function of x

Answers

the picture is not showing up shhsbehsjxvd

Answer: A

because yesterday I had a test and I got it right.

Step-by-step explanation:

please I need help ASAP

Answers

n=-4
................

find the total surface area, leave your terms in pi.

Answers

Answer:

75.39822

Step-by-step explanation:

HELP ASAP IM GIVING 40 POINTS I NEED THE AREA FROM THIS TRAPEZOID MODEL IN PICTURE

Answers

Answer:

multiply its height by its width or  use this: Area of a trapezoid is found with the formula, A=(a+b)/2 x h. aka base plus base times the height

Step-by-step explanation:

What is the first common factor of 6 and 8.25?

Answers

Answer:

omo

 ___

Step-by-step explanation:

solve this pls thank you

Answers

Answer:21

Step-by-step explanation:9+10=21

Answer:

ok nlol how u been

Step-by-step explanation:

Don leaves home at 2pm. He drives 45 miles from home in the first hour. He stops for 90 minutes. He then drives home at an average speed of 15mph. Draw a distance-time graph to show Don's journey.
Brainliest if you want :)

Answers

Answer:

3pm-5pm-7.30pm

Step-by-step explanation:

Geometry please help asap

Answers

Answer:

60

Step-by-step explanation:

hello there!

If you didn't know an exterior angle of a triangle is equal to the sum of its opposite interior angles

to be more specific ∠5=∠4+∠3

we are given ∠5 and ∠4 and we need to find ∠3

So we plug in what we have and solve for ∠3

130 = 70 + ∠3

subtract 70 from each side

130 - 70 = 60

we're left with ∠3 = 60

Which trend line properly describes the data relationship in the scatterplot?

Answers

Answer:

The correct answer is B  :)))

Step-by-step explanation:

2021

Definition - Trend line is referred to as a line of the best fit, which lines that are used to represent the behavior of a set of data to determine if in a certain pattern. Thus, A trend line is an analytical tool used most often in conjunction with a scatter plot to see if there is a relationship between two variables.  

The main purposes of a trend line are:Predicting unknown or future data points are:  This graph is shown to temperatures for ten days.  Also, we can be attempting to predict the temperature on the 11th day based on behalf of this graph, then we can estimate would be 70.5 degrees. It also mentions a graph below. Then,  If a set of points exhibits a positive trend, Then Determine a negative trend or no trend at all. Looking at the red trend lines in the examples which are mentioned below with sets of data.

         

Learn more about

https://brainly.com/question/14327659

Find the volume of the box. HELP DUE AT 5:00PM

Answers

The answer
3.5x2.25x0.8=6.3

Answer:

6.3

Step-by-step explanation:

Volume formula:

V = whl

V = 3.5(0.8)(2.25)

V = 63/10

Answer could be:

63/10[tex]6\frac{3}{10}[/tex]  6.3

based on the graph how many pieces of popcorn were eaten per minute in the first 4 minutes​

Answers

Answer:

50

Step-by-step explanation:

intersection of 4 mins hits 50

Please help me I need to get this turned in now!!

Answers

Answer:

(25. 12) unit

Step-by-step explanation:

The radius of the circle is ( r = 4) so

[tex]p = 2\pi \times r \\ p = 2(3.14)(4) \\ p = 25.12[/tex]

Wind the slope of this line?

Answers

1 because it is a positive line and goes up and over by 1

Answer:

slope=1

Step-by-step explanation:

slope=3/3=1 (hope it helps)

The store brought a pair of shoes for 40$ and sold it for 50$. What percentage was the markup?

Answers

Answer:

20%

Step-by-step explanation:

You would do 40/50 and then 40/50 is also 80/100. Then you'd take the remainder and that'd be the mark up price.

The answer here is going to be 20%

Veronikas five test scores are 59 80 95 and 93 if the outlier of 59 is removed what is the mean absolute deviation of the remaining four test scores?

Answers

Complete Question

Veronikas four test scores are 59, 80, 95, 88 and 93 if the outlier of 59 is removed what is the mean absolute deviation of the remaining four test scores?

Answer:

5

Step-by-step explanation:

We have the four test scores

80, 95, 88 and 93

Step 1

We find the mean of the 4 test scores

= 80 + 95 + 88 + 93/4

= 356 / 4

89

Step 2

The formula for Mean Absolute Deviation =

Summation( x - Mean)/n

Hence,

|(80 - 89 )+( 95 - 89) + (88 - 89) + (93 - 89)|/5

= 9 + 6 +1 + 4/4

= 20/4

= 5

Find the area of the figure and choose the appropriate result.
1 m
3.5 m
8 m

Answers

Answer:

Area if figure = 22 m²

Step-by-step explanation:

Given:

Length of rectangle = 8 m

Width of rectangle = 1 m

Base of triangle = 8 m

Height of triangle = 3.5 m

Find:

Area if figure

Computation:

Area if figure = Area of rectangle + Area of triangle

Area if figure = [l x b] + [(1/2)(b)(h)]

Area if figure = [8 x 1] + [(1/2)(8)(3.5)]

Area if figure = 8 + 14

Area if figure = 22 m²

what is the effect of the graph of the function f(x)=x^2 when f(x) is changed to f(x+8)?​

Answers

Answer:

Step-by-step explanation:

graph is translated left by 8 units

Formula is S=2nr squared
If r=7 and n=3.14,calculate S rounded off to two decimal places.​

Answers

Answer:

307.72

Step-by-step explanation:

S=2nr²

S=2×3.14×7²

S=307.72

(WILL GIVE BRAINLIEST PLEASE HELP I HAVE A DBA AND THESE ARE THE QUESTIONS)
Do you know what an arithmetic sequence is? An arithmetic
series? What is the difference between the two?
Do you know how to use the formulas?
Do you know what an geometric sequence is? An geometric
series? What is the difference between the two?
Do you know to use the formulas?
What is the difference between arithmetic and geometric?
Do you know how to find the average rate of change?
What is sigma notation? What are the parts?
What does it mean for a graph to be discrete? Continuous?

Answers

Answer:

down here. I dont expect you to copy paste

Step-by-step explanation:

Arithmetic sequence: An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.

Arithmetic series : An arithmetic series is the sum of a sequence in which each term is computed from the previous one by adding (or subtracting) a constant

Difference: A sequence is defined as an arrangement of numbers in a particular order. On the other hand, a series is defined as the sum of the elements of a sequence.

How to use them : maybe

Geometric Sequence : A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

Geometric series : In mathematics, a geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.

Difference: A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.In mathematics, a geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.

How to use: maybe

Arithmetic and geometric difference: The main difference between arithmetic and geometric sequence is that arithmetic sequence is a sequence where the difference between two consecutive terms is constant while a geometric sequence is a sequence where the ratio between two consecutive terms is constant.

Average rate of change : To find the average rate of change, we divide the change in the output value by the change in the input value.

Sigma notation :Often mathematical formulae require the addition of many variables Summation or sigma notation is a convenient and simple form of shorthand used to give a concise expression for a sum of the values of a variable.

Graph: A continuous function allows the x-values to be ANY points in the interval, including fractions, decimals, and irrational values. A discrete function allows the x-values to be only certain points in the interval, usually only integers or whole numbers.

Triangle PQR is reflected across a line, P = (4,–5), and P’ = (–4, –5). What is the line of reflection?
the x-axis
the y-axis
the line y = x
the line y = –x

Answers

Answer:

it is b

Step-by-step explanation:

edge2021

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