4 of 4
The ratio of money in Brian's wallet to Colin's wallet one day was 7:2.
Brian spent £39 that day.
Brian now had £4 less than Colin.
How much did they initially have altogether?

Answers

Answer 1

Answer:

£30

Step-by-step explanation:

Let Brian initially had money in his wallet = £x

and Colin had the money = £y

Since ratio of money in Brian's wallet to Colin's wallet was 5 : 1

Therefore,  

⇒ x = 5y -------(1)

Brian spent £27 that day, so money left with him = £(x - 27)

After spending the money Brian had £3 less than Colin.

(x - 27) = (y - 3)

x = y + 27 - 3

x = y + 24 -------(2)

Now we equate the equations (1) and (2) for the value of x,

5y = y + 24

5y - y = 24

4y = 24

y = £6

From equation (2),

x = 6 + 24

x = £30

Therefore, Brian initially had £30.

i hope this helps


Related Questions

An elected official surveyed residents of a town to assess their satisfaction with city services. The survey includes
both those who own and those who rent their homes.
Level of Satisfaction
EEEE
High
Medium
Low
Total
Owners
26
34
18
78
Renters
15
12
5
22
Total
41
46
23
110
What proportion of those surveyed have low satisfaction with city services?
O 0.2091
O 0.2308
0.2644
O 0.3727
Save and Exit
Next
Submit

Answers

Answer:

A

Step-by-step explanation:

Not much of a reason but thats what i g ot

Answer:

a

Step-by-step explanation:

I need help with a geometry problem

Answers

#1

[tex]\\ \tt\hookrightarrow 3x+5=1/2(2x+15+6x-37)[/tex]

[tex]\\ \tt\hookrightarrow 6x+10=8x-22[/tex]

[tex]\\ \tt\hookrightarrow 2x=32[/tex]

[tex]\\ \tt\hookrightarrow x=16[/tex]

#2

[tex]\\ \tt\hookrightarrow 7x+2+25x-14=180[/tex]

[tex]\\ \tt\hookrightarrow 32x-12=180[/tex]

[tex]\\ \tt\hookrightarrow 32x=192[/tex]

[tex]\\ \tt\hookrightarrow x=6[/tex]

A Store charfes $0.20 per pound plus a set fee of $2 for ice.How many pounds of ice would somebody have brought if they paid $15

Answers

Answer:

65 pounds of ice

Step-by-step explanation:

15-2=13

13/0.2=65

Select that all apply.

Answers

Answer:

C. ASA E. AAS B. HA

Step-by-step explanation:

ASA - The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

AAS -  If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of a second triangle, then the triangles are congruent.

HA - If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another triangle, then the two triangles are congruent.

Answer:

c.asa

Step-by-step explanation:

only C. asa tgat correct answer

Write 7√5 using rational exponents.

Answers

Answer:

7*(5)^0,5

Step-by-step explanation:

The value of number 7√5 in form of rational exponents will be 1561/1000.

What is Rational number?

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

The number is,

⇒ 7√5

Now,

Since, The number is,

⇒ 7√5

Solve as;

⇒ 7√5 = 7 × 2.23

           = 15.61

           = 1561/100

Thus, The value in rational exponents = 1561/1000

Learn more about the rational number visit:

https://brainly.com/question/12088221

#SPJ2

I need help with this ASAP

Answers

Answer:

it is D

since 6 percent of people infected by 10 day

take off discount and find the sale price of 15%off of $60.00
discount sale price​

Answers

Answer:

15% off of $60.00 would be $51.00

Step-by-step explanation:

(15 x 15) / 100 = 9

60-9=51

        </3 PureBeauty

ANSWER $51.00
skskksksks

What is the difference between –11x – 2 and 13x + 5?
24x + 7
-24x + 7
24x + 3
-24x - 7

Answers

Answer:[tex]\boxed{-24x-7}[/tex]Solution Steps:

____________________________

1.) Find the opposite of 13x + 5:To find the opposite of 13x+5, find the opposite of each term.[tex]13x=-13x[/tex][tex]5=-5[/tex]

 - We do this because when solving this they are in parenthesis, so you must get rid of the parenthesis by turning them negative.

Equation at the end of Step 1:

[tex]-11x-2-13x-5[/tex]2.) Combine −11x and −13x:[tex]-11x+-13x=-24x[/tex]

 - We do this since we can only have on variable at the end of the problem, so you just combine them if they have the same variable base.

Equation at the end of Step 2:

[tex]-24x-2-5[/tex]3.) Subtract 5 from −2:[tex]-2-5=-7[/tex]

 - We do this because we need one number left over to get a simplified version of this equation.

Equation at the end of Step 3:

[tex]-24x-7[/tex]

____________________________

Number 8 I need help plz

Answers

the answer to number 8 is b
The answer should be b

Chi has a big pile of nickels. He says, “Even if I use 100 of these nickels, I’ll still have 95% of my original pile.” How many nickels does Chi have?

Answers

Answer:

2000

Step-by-step explanation:5%= 100 nickels

1%= 20 nickels

20 x 100 = 2000

Answer:

2,000

Step-by-step explanation:

If 5%=100 nickels , then 20x100=the number of nickels Chi has.  

20x100=2,000

Solve the inequality: -2z - 3 < 5

Answers

Answer:

z>-4

Step-by-step explanation:

Answer:

z>4

Step-by-step explanation:

-2z-3<5

add 3 to 5: -2z < 8

divide by -2: z < -4

but since you divided by a negative number, you have to change the way the inequality is facing so the answer is z>-4

find the coordinates for P in the diagram given r=4 and theta=7pi/6
(the diagram is an empty unit circle)

Answers

Answer: can you please set this up differently?????

Step-by-step explanation:

Help!
Sarah was standing on a dock next to the ocean. She kicked a soccer ball off the dock to her friend in the water. 4 seconds after she kicked the ball it reached a height of 9 feet above the water. It hit the water 6 seconds later.
Write an equation for the path of the rock in y=a(x-h)^2+k and give the height of the dock that she kicked the ball from. Show your work!

Answers

Answer:

1) The equation for the of the ball in y = a·(x - h)² + k is;

y = -16·(x - 5)² + 25

2) The height of the dock, d =  -375 feet below the water level

Step-by-step explanation:

1) The question is with regards to quadratic function representing projectile motion

The given parameters are;

The height the ball reaches 4 seconds after Sarah kicked the ball = 9 feet

The time the ball hits the water = 6 seconds after reaching the 9 feet height

The form of the quadratic equation representing the motion is given as follows;

y = a·(x - h)² + k = a·x² - 2·a·h·x + a·h² + k

Let 'x' represent the time of motion of the ball, and let 'a', represent the acceleration due to gravity, we have;

The equation for the ball, y = a·(x - h)² + k

Where;

(h, k) = The coordinates of the vertex

h = The horizontal component of the vertex coordinate = 0

Therefore, we have;

When x = 0, y = d

d = -16·(0 - h)² + k =  -16·h² + k

d = -16·h² + k  

When x = 4, y = 9 - d

9 - d = -16(4 - h)² + k = -16(4 - h)² + k

When x = 2, y = d

d = -16(2 - h)² + k

When x = 6, y = 9

9 = -16(6 - 5)² + k

When x = 8, y = d

d = -16(8 - h)² + k

-16(8 - h)² - (-16(2 - h)²) = 0

h = 5

From 9 - d = -16(4 - h)² + k = -16(4 - 4)² + k

d = 9 - k

9 = -16(6 - h)² + k

k = 9 + 16(6 - 5)² = 25

d = 9 - k = 9 - 25 = -16

Therefore, h = 5, k = 25

The equation for the of the ball in y = a·(x - h)² + k is therefore;

y = -16·(x - 5)² + 25

2) When x = 0, y = d, ∴ d = -16(0 - 5)² + 25 = -375 feet below the water

The height of the dock, d =  -375 feet below the water level

the home plate at a baseball game measures 17 inches across what is the measurement in feet and inches?
a. 1 foot 7 inches
b. 1 foot 5 inches

Answers

Answer:

b. 1 foot 5 inches

Step-by-step explanation:

because one foot is 12 inches

You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for each mile driven. Lyft does not charge to pick up but they have a rate of $0.75 for each mile driven.

Let x = the number of miles traveled and y = the total cost for the trip.

Answers

Answer:

Uber: y = .25x + 3

Lyft: y = .75x

Step-by-step explanation:

Classify angle X Y Z. please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!! (Last option is Isosceles triangle) !!!!!!!!!

Answers

Answer:

its C

Step-by-step explanation:

C and D would make the most sense

HELP!!!!
4. Jake can paint a room in 7 hours, and Karen can paint the same room in 5
hours. How long will it take to paint the room if they work together?

Answers

Answer:

6 hours

Step-by-step explanation:

( 7h + 5h)/2 =6h

ANSWER:

It would take them about 3 hours to paint the room together.

EXPLANATION:

The least common denominator of 7 and 5 would be 35, so if we set 7x+5x equal to 35, the answer rounds up to 3. (or 2.9 if rounded to the nearest tenth.)

The original price of last year's gaming system was $399. It is now selling at a 24% discounted price. What is the sale price?

Answers

Answer:

$303.24

Step-by-step explanation:

399.00x24%=95.76

399.00÷95.76=303.24

Find the rate of change

Answers

Answer:

non linear

Step-by-step explanation:

you can see it doesnt go up a specific number each time, aka changes each time, therefor its  non linear

Answer:

2

Step-by-step explanation:

Use the method

 

Change in output  / Change in input

The input progresses by 1, and y progresses by 2.

We will plug the numbers in.

2/1

Then simplify.

2/1 = 2

Hence, the rate of change is 2.

help plsss someone asap, i’ll mark as brainliest if correct!

Answers

The answer is y= x+2

Answer:

A.) y=x-2

Step-by-step explanation:

Each value in the "x" section is 2 numbers less than its corresponding number in the "y" section.

Write an
explicit formula for An, the nth term of the sequence 7, -42, 252, ....

Answers

Answer:

[tex]A_n = 7(-6)^{n-1}[/tex]

Step-by-step explanation:

Key skills needed: Explicit formula, Geometric sequence

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

[tex]a_n = a_1(r)^{n-1}[/tex]

--> r means the constant (or common ratio) that is being multiplied.

--> [tex]a_1[/tex] means the first term

--> [tex]a_n[/tex] means the "nth" numbered term (so [tex]a_3[/tex] is the 3rd term, [tex]a_{10}[/tex] is the 10th term and so on).

--> [tex]n-1[/tex] is just the "n" in [tex]a_n[/tex] minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> [tex]r = -6[/tex] (Since we got -6 as the constant/common ratio).

--> [tex]a_1 = 7[/tex] (Since 7 is the 1st term)

This means that our formula would be --> [tex]A_n = 7(-6)^{n-1}[/tex]

Hope you understood and have a nice day!! :D

two boys decided to share their profits from a car wash job at a ratio of 2:3 how much will each boy receieve if their total profit is 35

Answers

Answer: Profit for first boy =  $14

Profit for second boy =  $21

Step-by-step explanation:

Given : Ratio of profits = 2:3

Let profit for one boy = 2x and for another boy = 3x

Since combined profit = $35

Then, 2x+3x= 35

⇒ 5x= 35

⇒ x= 7  [divide both sides by 5]

Profit for first boy = 2 (7)= $14

Profit for second boy = 3 (7)= $21

Lenny bought a motorcycle. He paid 12.5% in tax. The tax added 1437.50 to the price of the motorcycle what was the price of the motorcycle not including the tax

Answers

Answer:

Amount of motorcycle = $11,500

Step-by-step explanation:

Given:

Tax rate = 12.5 % = 0.125

Amount of tax = $1,437.50

Find:

Amount of motorcycle

Computation:

Amount of motorcycle = [Amount of tax ] / Tax rate

Amount of motorcycle = [1,437.50] / 0.125

Amount of motorcycle = $11,500


The number 299 is divided into two parts in
the ratio 5:8. The product of the numbers
(A) 21140
(C) 21160
(B) 21294
(D) 31294

Answers

I think it might be B I’m so sorry if it’s not

Jessica and Mofor are selling pies for a school fundraiser. Customers can buy apple pies and
lemon meringue pies. Jessica sold 7 apple pies and 6 lemon meringue pies for a total of $169.
Mofor sold 3 apple pies and 6 lemon meringue pies for a total of $141. Find the cost each of one
apple pie and one lemon meringue pie.

Answers

Answer

L=20 A=7

Step-by-step explanation:

Which expression represents "4 times the sum of 3 and 7?
O A 4+7=
B 4x +7
OC 4G+7)
D. 704 + x)

Answers

What he said umm ya sorry but I was gonna say what he did

Answer:

associative

Step-by-step explanation:

Ben's Sports sells golf tees from a barrel by the scoop. The golf tees come in 5 bright colors mixed in the barrel. To determine what to charge for each scoop, Ben weighed 15 scoops. The weight of each scoop is shown in the line plot below. Use the line plot to answer the questions.

Answers

it’s C i did it on edgunity and i got the answer correct!!

I don't really get how to do this​

Answers

Answer:

you got to put them in order like you got to figure out witch one is smaller then u keep going until u figure out the bigest.....

Step-by-step explanation:

Answer:

15.5, 16 and 1/4, 16.60, 16.7, 16 and 3/4, and 16.83.

Step-by-step explanation:

Hope it helps!

What is the length of diagonal BD?

Answers

Answer: My answer would be 7.6

Step-by-step explanation: Hope this is correct.

Can someone give me the answer

Answers

Answer:

B=YZ/20A

Step-by-step explanation:

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