The ratio of money in Terry's bank account to Faye's bank account was 3:7. Terry then put £220 in his account and Faye withdrew £300 from her account. They now had the same amount in their accounts. How much did Terry initially have?

Answers

Answer 1

Answer:

Terry initially had £390

Step-by-step explanation:

The ratio of the original amount is 3:7

Let the original amount Terry has be t and the original amount Faye has be f

3/7 = t/f

or simply 3f = 7t ••••••(i)

Terry putting 220 means he now has

t + 220

Faye withdrew 300

He now has f-300

These values are equal

t + 220 = f-300

f = t+220+300

f = t + 520 ••••••(ii)

Put ii into i

3(t + 520) = 7t

3t + 1560 = 7t

7t-3t = 1560

4t = 1560

t = 1560/4

t = 390


Related Questions

If the sides of a triangle have the following lengths, find a range of possible values for x.

LM = 6x + 3, MN = 4x - 17, LN = x + 40

Answers

Answer:

The range of possible values of x are;

x > 6

Step-by-step explanation:

To form a triangle, the length of two sides must be greater than the third side

Thus;

6x + 3 + 4x-17 > x + 40

6x + 4x-14 > x + 40

10x-14 > x + 40

10x-x > 40 + 14

9x > 54

x > 54/9

x > 6

Write an explicit rule for the following sequence: 5, 9, 13, 17, 21.

Your answer:
A. a = 4
a = an-1 + 5

B. a = 5
a = an-1 + 4

C. an = 5n + 1

C. an = 4n + 1

Answers

A = 4 because the numbers are skipping by four so therefore it’s A

Write an equation in slope-intercept form of the line passing through a given point and having the given slope m=-3 through (1,9)

Answers

Answer:

y=-3x+12

Step-by-step explanation:

9=-3(1)+b

9=-3+b

9+3=3-3+b

12=b

what is 83x8+4-9=
POR FAVOR AYUDA

Answers

Answer:

659

Step-by-step explanation:

664 + 4 - 9 = 659

find the equation of the line that passes through the point (1,8) and is parallel to the line y=3x+6. write the equation using the​ slope-intercept form.

Answers

Answer: can you add the picture?

Step-by-step explanation:

Which of the following is an arithmetic sequence?
A.
3, 9, 81, 6561, …
B.
4, 1, −2, −5, …
C.
2, −2, 2, −2, …
D.
4, 1, 4, 7, …

Answers

Answer:

D

Step-by-step explanation:

Answer:

It's the B

Step-by-step explanation:

The arithmetic sequence here is made by subtracting 3 every time

Hope this helps, have a good day

What is the circumference?
7 ft

Answers

Answer:

C = 7π

Step-by-step explanation:

Diameter: 7 feet

Formula: C = πd (Circumstance = π × Diameter)

C = 7π

5x-7=3 whats the answer

Answers

Answer:

x=2

Step-by-step explanation:

5x-7=3

Add 7 to each side

5x - 7+7 = 3+7

5x = 10

Divide each side by 5

5x/5 = 10/5

x = 2

Answer:

x = 2

Step-by-step explanation:

5x-7=3

Move the 7 from the left side. So you'll add it to both sides

5x-7(+7)=3(+7)

Making your formula

5x=10

Then divide 5x on both sides

Since 5x divided by itself is one it's just x

10 divided by 5 is 2

So the answer is x = 2


Find the length of DF or state what additional information you would need to find it.

Answers

Answer:

DF=3.75

Step-by-step explanation:

24/6=15/x

cross multiply to get 24x=90

x=3.75

The length of side DF will be 5 units.No more additional information would need to find, all the information is already given.

What is the congruent triangle?

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

All the given information is shown in the figure attached.

Since the two triangles are congruent the ratio of their sides is equal,

BC / EF = AC / EF

Suppose the length of side DF is x.

20/DF=24 /6

20/x = 24 / 6

x = 20 / 4

x=5

DF = 5 units

Thus, the length of side DF will be 5 units.No more additional information would need to find, all the information is already given.

Learn more about the congruent triangle here:

brainly.com/question/12413243

#SPJ2

helpppp i’ll give that crown thing

Answers

Answer:

N K Q

Step-by-step explanation:

how do i solve this?

Answers

Answer:

add up ??

Step-by-step explanation:

yes you would add it all up giving you 3/200

Help asap please!! I will mark you as brainliest :)

Answers

Answer:

52

Step-by-step explanation:

bro imma be honest with you the way i figured this out doesnt even make sense so im not even gonna try and explain ths lol

The first choice is the right answer - 52
4 bags for two batches so for one batch it’s 2 bags and for 26 batches you multiply that by 2 so you get 52

Write an
explicit formula for the sequence 6,2,-2,-6-10, ... Then find the 1st term.

Answers

Answer:

Step-by-step explanation:6232821

the triangles have the following coordinates: A(2,4), B(2,10), C(10,10), F(14,13), G(14,16). Find the coordinates of H.

Answers

Answer: A

Step-by-step explanation: because I got the correct answer

on a beautiful day there are 65 cars in the beach parking lot 26 more cars park in the parking lot before noon but 17 car slept how many cars are in the beach parking lot ​

Answers

Answer:

a

Step-by-step explanation:

A pencil holder shaped like a triangular prisms height is 12 cm, and the volume of the pencil holder is 216 cm3. What is the area of the base of the pencil holder in square centimeters

Answers

Answer:

The area of the base of the pencil holder in square centimeters is  18 square centimeters

Step-by-step explanation:

The volume of a triangular prism is given as base area X height.

To get the base area, we can quickly shuffle the order of the terms to make sure that the base area is the subject of the formula.

Base area = volume of prism / height

Base area = 216/12 = 18 square centimeters

Therefore, the area of the base of the pencil holder in square centimeters is = 18 square centimeters

Lauren buys 17 pounds of bread for her restaurant every day at a cost of $1.40 per
pound.
How much does she pay for the bread each day?

Answers

17*1.40 =23.80 that’s the answer

how do you solve 2x<8

Answers

Answer: x<4

Step-by-step explanation:

Let's solve the inequality step-by-step.

2x<8

Step 1: Divide both sides by 2.

2x2<82

x<4

Answer:

x<4

Answer:

Thanks for the points loser

Solve for the unknown number in the equation 478 + ________ = 457 + 77.

a 50
b 53
c 56
d 59

Answers

Answer:

56

Step-by-step explanation:

457+77

=534-478

= 56

Caleb makes a deposit of $25 in his checking account. His balance after the deposit is $0. He uses a number line to represent the amount of his deposit and his balance before the deposit. Where would the two points be located on the number line? Plot the points on the number line.

Answers

Solution :

In the context, it is given that Caleb deposits some amount of money in his checking account. And after the deposit he is having no money in his account i.e. $0 as balance in his account. So he must be his balance as negative in his checking account.  Accordingly, before deposit, Caleb had a balance amount of -$25 in his checking account. He deposited $25 to his account, so after the deposit, his balance in the account is $0.

Caleb uses a number line to represent his deposit and the balance before the deposit made.    

Which ordered pairs are solutions to the inequality 3x-4y>5

Answers

Note: you did not provide the answer options, so I am, in general, solving this query to solve your concept, which anyways would clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the inequality

[tex]3x-4y>5[/tex]

All we need is to find any random value of 'x' and then solve the inequality.

For example, putting x=3

[tex]3\left(3\right)-4y>5[/tex]

[tex]9-4y>5[/tex]

[tex]-4y>-4[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

[tex]\left(-4y\right)\left(-1\right)<\left(-4\right)\left(-1\right)[/tex]

[tex]4y<4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]\frac{4y}{4}<\frac{4}{4}[/tex]

[tex]y<1[/tex]

So, at x = 3, the calculation shows that the value of y must be less

than 1 i.e. y<1 in order to be the solution.

Let us take the random y value that is less than 1.

As y=0.9 < 1

so putting y=0.9 in the inequality

[tex]3\left(3\right)-4\left(0.9\right)[/tex]

[tex]=9-3.6[/tex]

[tex]=5.4[/tex]

As 5.4 > 5

Means at x=3, and y=0.9, the inequality is satisfied.

Thus, (3, 0.9) is one of the many ordered pairs solutions to the inequality 3x-4y>5.

PLEASE HELP
Write the point-slope form of the equation of the line through the given points.
3) through: (4, 5) and (0, 2)

Answers

Answer:

3/4

Step-by-step explanation:

m= 2,5 / 0-(4) simplify (-3,-4) and then divide two negative values to make it positive 3/4

need the answer asap ​

Answers

Answer:

10,15

Step-by-step explanation:

Answer:

AC=39

Step-by-step explanation:

-x+25=3(2x-8)

-x+25=6x-24

49=7x

x=9

AC = 2(-9+25)=-11+50=39

how do you use scientific notation to estimate the hours in a year

Answers

Answer:

8.760 x 10^3

Step-by-step explanation:

There are 8760 hours in 1 year. So, you can convert this to scientific notation by moving the decimal from 8760 three times to the left:  8760. → 8.760  And since it was moved three times, put an exponent of 3 to the 10:  10^3  So, you get 8.760 x 10^3 hours in a year.

Hope this helps! :)

During the basketball season, diane took 134 shots and made about 56% of them. a.) how many shots did diane make? b.) the team made a total of 498 shots. what precent of the teams made shots did diane make​

Answers

Diane made exactly 47%

Answer:

75 shots and 15.1%

Step-by-step explanation:

Which is the best summary of this part of the passage?

A. Catherine patented an invention that lets patients track their own heartbeats
B. Catherine patented an invention that lets patients talk to doctors on a cell phone
C. Catherine patented an invention that lets doctors operate on a patient's heart and lungs
D. Catherine patented an invention that lets doctors hear a patient's heart and lungs

Answers

Answer: d

hahehebbsjdhdbrbsndjjd

Step-by-step explanation:

A high school basketball team scored 60 points in last week’s game. The team scored a total of 27 baskets; some were two-point shots and some were three-point shots. How many two-point shots did they make? How many three-point shots did they make?


x + y = 27,


2x + 3y = 60



What is the solution of the system of equations, and what does it represent?


options:

(6, 21); 6 two-point shots and 21 three-point shots

(6, 21); 6 three-point shots and 21 two-point shots

(21, 6); 21 two-point shots and 6 three-point shots

(21, 6); 21 three-point shots and 6 two-point shots

Answers

Answer:

the answer is (21, 6); 21 two-point shots and 6 three-point shots

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i did the test

What inequality sign would be used for the words, "no fewer than?"

Answers

Answer: The no fewer then sign would be <
Reason: let’s say that Alex wanted no fewer then 5 sheets of paper for a project. Alex can’t finish his assignment with only 4 sheets of paper. He can with 6, 7, 8, 9, etc. how we would label this is like this < 5 sheets. Think of the sign like a monster crocodile. It can eat as much as it can.

Question 1
1. You must build a ramp with a rise of 15 inches to roll
some lab equipment into your school. If you follow the
ADA specifications, what is the horizontal length (the "run")
of the shortest ramp you can build? What is the ramp's
total length?

Answers

Could you explain better so I could understand

in having trouble can someone help me please

Answers

Answer:

-19

Step-by-step explanation:

Input -6 for n and solve: 3(-6)-1

Answer:

-19

Step-by-step explanation:

3 (-6) - 1 = -19

Other Questions
***WILL MARK BRAINLIEST**ASAP!! HELP!!! SOSSS!!! MUST BE 2 QUOTES PLEASE!!! How do the characters remain positive, hopeful, and/or optimistic In Anne Frank? ***********QUOTES******* Can someone please help mee fast!! If f(x)=x-16 is continuous at x = -4, find f(-4). What are the slope and y-intercept for the graph of y = -10x + 2? 5)How many solutions can be found for the linear equation?3(x + 4) = 3x + 4A)no solutionB)one solutionC)two solutionsD)infinitely many solutions ppppppppllllllllllllllllllllllllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz HHHHEEEEEEEEEEELLLLL-PPPPPPPPPPPPP MMMMMMMMMMMMEEEEEEEEEEEEE A sequence starts 10, 20, ...A) Find the next two terms if it is arithmetic. Show/explain your process! B) Find the next two terms if it is geometric. Show/explain your process! the picture is below Plz HELPThe concept of the "brand" was largely a result of what principle?A.Good design over consumerism.B.image's importance over content.C. Both A and B What typc of molecule is shown in the diagram? (GIVING BRAINLIEST!!!)Which form of political participation includes walking in the streets with banners?A) ProtestB) Running for public officeC) Writing letters to officials 2. A parking lot has 68 rows with 24 parking spaces in each row. What is the total number of parking spaces? 1,632 1,502 408 272 What is the answer now the correct one Which of these functions are linear?Choose all that apply.Ay+ 4 = 2xBy=3-x?X01234-1-0.5o-0.5-1DX-22.5wlo13.2523.52.75E-51-22F Which of these statements about gravity are true?Gravity helps us stay situated on Earth without floating away.Gravity gives objects their mass.Gravity holds our galaxy together.Multiplying the mass of an object by the acceleration due to gravity gives the weight of the object.Gravity helps scientists launch spacecraft out of Earths atmosphere. What is the empirical formula for a compound that is comprised of 54.0% sodium, 8.50% boron, and 37.5% oxygen by mass?A) Na2B2O3.B) Na3BO3.C) Na3B2O2.D) Na4BO4. What is the answer to 0.30p+1.25m=11.15 Which situation best represents the equation below? 324-90x=250 A. Jamal has $324 in his bank account. He makes a payment to his gym every month. If he has payed his gym memeber ship for 5 months, how much is his gym membership per month if he now inly has $250? B. Sergios's parents deposit $90 every week to his checking account. If he started with $324, in how many weeks will Serigo checking account have $250? C. David spent $90 for a shirt and pants. If he only had $324, how much money will be left in his bank account? D. John has $324 in his bank account. He withdraws $90 each week. After how many weeks will he have $250 in his bank account? Divide the following polynomial using synthetic division, then place the answer in the proper location on the grid. Write answer in descending powers of x. (x4+81) / (x-3) Policy in which stronger nations extend their economic political and military control over weaker territories