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

The perimeter of the triangle below is 42 units. What is the value of x? A. 18 B. 14 C. 30 D. 10

Answers

Answer:

x=10

Step-by-step explanation:

What was the main purpose of the Declaration of Independence?

Answers

Answer:

The main purpose of America's Declaration of Independence was to explain to foreign nations why the colonies had chosen to separate themselves from Great Britain. The Revolutionary War had already begun, and several major battles had already taken place.

Step-by-step explanation:

Last two questions solve for X

Answers

Answer:

Number 7 is 2

Number 6 is 64

Step-by-step explanation:

Look at my profile and follow the same steps I've been explaining lol.

Help i will give brainlist. The quotient of 2 and g is 8 can u pls show me step by step ty​

Answers

Answer:

16

Step-by-step explanation:

Set up the equation: g/2 = 8

We want to get 'g' by itself, so we need to reverse the division of two. To do that, we multiply (division and multiplication go together, addition and subtraction go together) both sides by two (what you do to one side of an equation, you must do to the other).

End up with: g = 16

Hope this helps :)

A swim team ordered 36 jackets that each cost the same amount. The total cost of the order was $1,116. Let c be the cost of each jacket. How much did each jacket cost?

Answers

Answer:

c = $1116/36

c = $31

Step-by-step explanation:

the cost of each jacket can be determined by dividing the total cost of the 36 jackets by the number of jackets bought

cost of each jacket = total order cost / total number of jackets bought

$1116 / 36 = $31

Each jacket costs $31

An answer with a reasonable response will get brainiest. It is in the picture

Answers

Answer:

M = 12.5

Step-by-step explanation:

Simple,

2 times 12.5 is 25

4 times 12.5 is 50

6 times 12.5 is 75

8 times 12.5 is 100

The "m" is just a variable. Kinda like a question mark.

Needs help fast please

Answers

3 because 7-4=3
Okie.

PLSS HELPPP DUEE TODAYY Problem #1 Simplify the expression.

Answers

Answer:

B

Step-by-step explanation:

+/- 7 is the sq root of 49

hope this helps

is 7^2 greater then or less than 3^4?​

Answers

Answer: Less Than

Step-by-step explanation: 7^2 = 49, but 3^4 = 81. 49 < 81

Answer: less

Step-by-step explanation: 7^2 is 49 and 3^4 is 81....

In ΔSTU, the measure of ∠U=90°, US = 7.3 feet, and ST = 9.8 feet. Find the measure of ∠S to the nearest tenth of a degree.

Answers

Answer:41.8

Step-by-step explanation:

The sum of 4 and the product of 5 and x is equal to 5 less than the product of 2 and x. What is the value of x?

Answers

Answer:

b. -3

Step-by-step explanation:

i hope this helps :)

What decimal is equal to 1/4?

Answers

Answer:

0.25

Step-by-step explanation:

write 1/4 as a decimal you have to divide numerator by the denominator of the fraction. We divide now 1 by 4 what we write down as 1/4 and we get 0.25. And finally we have: 1/4 as a decimal equals 0.25.

Answer:

0.25

Step-by-step explanation:

[tex] \frac{1}{4} \\ = 0.2[/tex]

Which measurements is equivalent to 4,000 centimeters? (100 centimeters = 1 meter)

Answers

Answer:

400 meters = 4000 centimeters

Step-by-step explanation:

Sorry if this didn't help

The solution is , 4,000 centimeters are equivalent to 40 meters. Hence, the answer is A) 4,000 cm.

What is equation?

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, left-hand side (LHS) and right-hand side (RHS), connected by an equal sign (=). The LHS and RHS can contain numbers, variables, operators, and functions, and the equal sign indicates that the value of the expression on the LHS is equal to the value of the expression on the RHS.

Here,

we know,

100 centimeters = 1 meter

Since there are 100 centimeters in one meter, we can convert meters to centimeters by multiplying the length in meters by 100.

So, to convert 40 meters to centimeters, we can multiply 40 by 100:

40 meters = 40 x 100

= 4,000 centimeters

Therefore, 4,000 centimeters are equivalent to 40 meters. Hence, the answer is A) 4,000 cm.

To know more about equation,

brainly.com/question/9312365

#SPJ2

I WILL GIVE BRAINLIEST!!!

NO SENDING ME LINKS!!!

Answers

Answer:

N(t)=52(9/7)^t

Step-by-step explanation:

hope it's helpful..

have a great day

mary need 50 ft of fence to protect her rectangular garden from squirrels. How long and how wide is the 8 ft more than the width length is if the length is 8 ft more than the width

Answers

Answer:

Width of the fence = 8.5 ft

Length of the fence = 16.5 ft

Step-by-step explanation:

Mary need 50 feet of fence to protect her rectangular garden from squirrels. How long and wide is the garden if the length is 8 feet more than the width?

Perimeter of the fence = 2(length + width)

Perimeter of the fence = 50 ft

Width of the fence = x ft

Length of the fence = x + 8 ft

Perimeter of the fence = 2(length + width)

50 = 2{(x+8) + (x)}

50 = 2(x + 8 + x)

50 = 2(2x + 8)

50 = 4x + 16

50 - 16 = 4x

34 = 4x

x = 34/4

x = 8.5

Width of the fence = x ft

= 8.5 ft

Length of the fence = x + 8 ft

= 8.5 + 8

= 16.5 ft

Width of a rectangle is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet

Perimeter of a rectangle

A quadrilateral having four right angles is known as a rectangle. It can also be described as a square - shaped quadrilateral (equiangular meaning all angles are identical) or a parallelogram with a right angle.

Let [tex]x[/tex] denotes the width [tex](w)[/tex] of a rectangle.

So,

Length of a rectangle [tex](l)=x+8[/tex]

Perimeter of a rectangle [tex]=50[/tex] feet

[tex]2(l+w)=50\\l+w=25\\x+8+x=25\\2x=17[/tex]

[tex]x=8.5[/tex] feet

So,

width is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet

Find out more information about rectangle here:

https://brainly.com/question/994316?referrer=searchResults

please help!! will give brainliest!!!!

100,78,93,84,91,100,82,79

what is the MAD?

A. 7.625
B.61
C.88.4
D.8

Answers

Answer:

The correct answer is A. 7625

I WILL CROWN YOU BRAINLIEST I NEED HELP ASAP PLS PLS PLSSSSSS tysm to whoever helps me

Answers

Answer:

400

Step-by-step explanation:

Answer:gbfcfrfrfrfrddr

Step-by-step fgggghhhhh:

Please helppppp fastttt a lot of points and branliest anwser

Answers

Answer:

yes these lines are parallel because they cross T at the same angle meaning theyʻll never meet

Step-by-step explanation:

1. Expand to write an equivalent expression: −14(8x+12y)

2. Factor to write an equivalent expression: 36a−6
Pls answer (No links)

Answers

Answer:

-112x-168y, 6(6a-1).

Step-by-step explanation:

-14(8x+12y)

-112x-168y

--------------

36a-6

6(6a-1)

If triangle PQR is similar to SQT, find the value of
PQ.
X-9
S
T
8
Y +5
P
R
21
X = 15
PQ = 26

Answers

Answer:

x = 31.4

PQ = 58.8

Step-by-step explanation:

Set up a proportion:

SQ/QP = ST/PR

Substitute in the values they give you:

[tex]\frac{x-9}{x-9+x+5} = \frac{8}{21}[/tex]

[tex]\frac{x - 9}{2x - 4} = \frac{8}{21}[/tex]

[tex]21x - 189 = 16x - 32\\5x = 157\\x = 31.4[/tex]

This means that PQ = 2x - 4 = 2(31.4) - 4 = 62.8-4 = 58.8

Answer:

x = 15, PQ = 26

Step-by-step explanation:

x+13/9 = 21/x-9

x^2+4x−117=168

x^2+4x−285=0

(x−15)(x+19)=0

x=15

it cannot be a negative number so x cannot be -19

PQ= x+13

15+13=26

help pls ok fast pls

Answers

Answer:

I would say the last one. If its wrong then its definitely option 9y/3

Sorry if its wrong :(

Write the ratios for sin x, cos x and tan x

Answers

Answer:

sin(x)=[tex]\sqrt{119\\}[/tex] / 12, cos(x)=5/12, tan=[tex]\sqrt{119\\}[/tex] / 5

Step-by-step explanation:

segment YZ is length a, we need to find a

segment XZ is length 5

segment XY is length 12

XYZ is a right triangle, so a^2 + b^2 = z^2, so

a^2 + 5^2 = 12^2, simplify

a^2 + 25 = 144, subtract 25

a^2 = 119

a = [tex]\sqrt{119\\}[/tex]

then we can determine all the trig ratios

soh - cah - toa

sin = opp/hyp, cos=adj/hyp, tan=opp/adj

sin(x)=[tex]\sqrt{119\\}[/tex] / 12, cos(x)=5/12, tan=[tex]\sqrt{119\\}[/tex] / 5

Two people are swinging a jump rope. The height of the middle of the rope, in inches, can be modeled by a cosine function with an amplitude of 36 inches. If the minimum point that the middle of the rope reaches is 3 inches above the ground, what is the maximum point that the middle of the rope reaches?

A.
75 inches
B.
39 inches
C.
36 inches
D.
72 inches

Answers

Answer:

B. 39 inches

Step-by-step explanation:

The amplitude is the difference between the function's maximum and minimum values.

3 in. + 36 in. = 39 in.

Answer: B. 39 inches

Answer:75 inches

Step-by-step explanation: I got it right on edmentum

Simplify The following Expression:

45 + (x - 12)​

Answers

Answer:

The answer is x + 33

Step-by-step explanation:

1) Remove parentheses.

[tex]45 + x - 12[/tex]

2) Collect like terms.

[tex]x + (45 - 12)[/tex]

3) Simplify.

[tex]x + 33[/tex]

Therefor, the answer is x + 33.

Answer:

x+33 is your answer

Step-by-step explanation:

45 + (x - 12)

45+x-12

x+45-12

x+33

f(x)= 3x and g(x)= -x+4, so f(g(2))=?

Answers

Answer: 6

Step-by-step explanation: first, you plug in 2 into the g(x) function. So, replace x with 2 in the second function g(x). -2 + 4 = 2. Then take that answer (2), and plug that into the x for f(x). 3 x 2 = 6

Answer:

[tex]f(g(2))=6.[/tex]

Step-by-step explanation:

We have [tex]g(x)=-x+4 \Rightarrow g(2)=-2+4=2[/tex]

Since [tex]f(x)=3x[/tex] then [tex]f(g(2))=f(2)=3.2=6.[/tex]

if the radius of a circle is r cm, what is the measure of its circumference? write​

Answers

2(pi)(r). This is just the formula for the circumference of a circle.

Which ratios from the list are equivalent to 30/50 answer choices 9/15,5/3,150/250,12/20,33/55.

Answers

Answer:

150/250

Step-by-step explanation:

OMG PLEASE HELP IF I DONT PASS THIS I FAIL MY CLASS! HELP! 30 POINTS SHOW WORK IF U NEED TO PLEASE! thank you too anyone(PRETTY PLEASE SHOW HOW YOU DID IT/can you show work)

Answers

Answer:

answer is c have a great day :)

Step-by-step explanation:

5d=10d-20 please answer quickly

Answers

Answer:

D = 4

Step-by-step explanation:

None

Answer:

4

Step-by-step explanation:

Subtract 10d from both sides

5d-10d=-5d

-5d=-20

d=4

$37.30 for 2 pairs of jeans

Answers

Answer:

18.65

Step-by-step explanation:

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