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

44. Find the arc length on a circle with radius =5 inches and a central angle of pi/3 help plsss

Answers

Answer:

Step-by-step explanation:

Because your angle is in radians, I'm assuming we can use the pre-calculus version of the arc length formula which is

s = rt where s is the arc length, r is radians, and t is the angle in radian measure. Filling in accordingly:

[tex]s=5(\frac{\pi}{3})[/tex] so

[tex]s=\frac{5\pi}{3}[/tex] inches

NEED HELP ASAP!!!! PLEASE HELP!!!!

Answers

Answer:

1/9a

Step-by-step explanation:

i used math.way lm.ao hope it helps

Please somebody help me.

Answers

Answer: I do believe its A.

Tho I advise you plug it into Midpoint Calculator (Free math website) just to be sure.

Happy Holidays and Good luck

Determine the equation of the circle graphed below.

Answers

Answer: (-7,3)

Step-by-step explanation:

Pls help ;-;
Given the equation below, if x=10, what is the value of y?
y= x -6.5​

Answers

Answer: 3.5

Step-by-step explanation:

y=(10)-6.5

0.14 quarts to 0.24 quarts

Enter the ratio as a fraction of whole number in lowest tents ( no decimals )

Answers

Answer: [tex]\dfrac{7}{12}[/tex] .

Step-by-step explanation:

To find : Ratio of 0.14 quarts to 0.24 quarts.

In fraction it will be

[tex]\dfrac{\text{0.14 quarts}}{\text{0.24 quarts}}\\\\=\dfrac{14}{24}\ \ \ \ \\\\=\dfrac{7}{12}\ \ \ \ \ [\text{Divide numerator and denominator by 2}][/tex]

= 7:12

Hence, the required fraction = [tex]\dfrac{7}{12}[/tex] .

What is the circumference?
30 ft

Answers

Answer:

94.248 feet

1,131.0 inches

94′ 3″ feet and inches

28.727 meters

2,872.7 centimeters

Step-by-step explanation:

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?


A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?


A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

Answers

Answer:

The answer is 315 inches

Step-by-step explanation:

180+75%

Answer:315

Step-by-step explanation:

Please help ASAP! :)

I WILL MARK Brainliest!!!

Answers

Answer:

3

Step-by-step explanation:

An electrician charges an initial fee of $35 for attending a house call. Thereafter, he charges $15 for every hour spent on the job. The equation for this is represented = 35 + 15, where $Y represents the charges the house owner has to pay and is the number of hours the electrician spends on the job: (a) , find the amount of money the house owner needs to pay if he spends (i) 1 hour (ii) 2 hours (iii) 3 hours (iv) 4 hours on the job very urgent

Answers

Answer:

1 hour=35+15=50

2 hours=35+15(2)=65

3 hours=35+15(3)=80

4 hours=35+15(4)=95

Step-by-step explanation:

What is the common ratio for the sequence 1, 4, 16, 64,..?

Answers

Answer:

1:4

Step-by-step explanation:

1/4

4/16 ->1/4

16/64-> 1/4

Answer:4 is the answer to all of this

Which equation could have been used to create this graph?


y = x + 5

y = 3x

y = 6x

y = x + 6

Answers

Answer:

y= 3x

Step-by-step explanation:

Because between each point your going up by 3

Hope this helps you

Answer:

y = 3x

Step-by-step explanation:

This is dealing with slope so think of it as rise over run

[tex]\frac{Rise}{Run}[/tex]

The y intercept is a 0 so you don't have to worry about adding a number after the plus symbol. You can if you want but that's not an option. You go up 3 over 1 and then you get to your next point.

1 2/5m - 3/5(2/3m+1)

Answers

Answer:

step by step

STEP

1

:

Equation at the end of step 1

((((3•(m3))+5m2)-5m)+1)

(———————————————————————•m)-1

3

STEP

2

:

Equation at the end of step

2

:

(((3m3+5m2)-5m)+1)

(——————————————————•m)-1

3

STEP

3

:

3m3 + 5m2 - 5m + 1

Simplify ——————————————————

3

Checking for a perfect cube :

3.1 3m3 + 5m2 - 5m + 1 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 3m3 + 5m2 - 5m + 1

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -5m + 1

Group 2: 5m2 + 3m3

Pull out from each group separately :

Group 1: (-5m + 1) • (1) = (5m - 1) • (-1)

Group 2: (3m + 5) • (m2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3 Find roots (zeroes) of : F(m) = 3m3 + 5m2 - 5m + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of m for which F(m)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers m which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 3 and the Trailing Constant is 1.

The factor(s) are:

of the Leading Coefficient : 1,3

of the Trailing Constant : 1

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 8.00

-1 3 -0.33 3.11

1 1 1.00 4.00

1 3 0.33 0.00 3m - 1

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

3m3 + 5m2 - 5m + 1

can be divided with 3m - 1

Polynomial Long Division :

3.4 Polynomial Long Division

Dividing : 3m3 + 5m2 - 5m + 1

("Dividend")

By : 3m - 1 ("Divisor")

dividend 3m3 + 5m2 - 5m + 1

- divisor * m2 3m3 - m2

remainder 6m2 - 5m + 1

- divisor * 2m1 6m2 - 2m

remainder - 3m + 1

- divisor * -m0 - 3m + 1

remainder 0

Quotient : m2+2m-1 Remainder: 0

Trying to factor by splitting the middle term

3.5 Factoring m2+2m-1

The first term is, m2 its coefficient is 1 .

The middle term is, +2m its coefficient is 2 .

The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1

Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is 2 .

-1 + 1 = 0

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

3

:

(m2 + 2m - 1) • (3m - 1)

(———————————————————————— • m) - 1

3

STEP

4

:

Equation at the end of step 4

m • (m2 + 2m - 1) • (3m - 1)

———————————————————————————— - 1

3

STEP

5

:

Rewriting the whole as an Equivalent Fraction

5.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

1 1 • 3

1 = — = —————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

m • (m2+2m-1) • (3m-1) - (3) 3m4 + 5m3 - 5m2 + m - 3

———————————————————————————— = ———————————————————————

3 3

Polynomial Roots Calculator :

5.3 Find roots (zeroes) of : F(m) = 3m4 + 5m3 - 5m2 + m - 3

See theory in step 3.3

In this case, the Leading Coefficient is 3 and the Trailing Constant is -3.

The factor(s) are:

of the Leading Coefficient : 1,3

of the Trailing Constant : 1 ,3

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 -11.00

-1 3 -0.33 -4.04

-3 1 -3.00 57.00

1 1 1.00 1.00

1 3 0.33 -3.00

3 1 3.00 333.00

Polynomial Roots Calculator found no rational roots

Final result :

3m4 + 5m3 - 5m2 + m - 3

———————————————————————

3

Terms and topics

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Identify the triangle by its sides and angles:
equilateral, isosceles, scalene, acute, obtuse, right.

(you should have two answers)

Answers

Answer: Right and isosceles

Carla makes $20 for each lawn she mows. The money she makes depends on the number of lawns she mows.
How much money will she make if she mows 5 lawns?

ANSWER THE QUESTION IN THE IMAGE PLEASE ASAP!!!!!!!!!!!!!!!!!!!

Answers

Answer:

100

Step-by-step explanation:

20 times 5

20(x)=100 if you use substitution you will get 100

if i am on my side i am everything i you chop me in half i am nothing what am i

i know it i am just seeing who can get it

Answers

Answer:

the number 8

Step-by-step explanation:

81 ≥ 100 – m. Please help.

Answers

Answer:

x > 19

Step-by-step explanation:

Answer:

m ≤ -19

Step-by-step explanation:

81 ≥ 100 - m

-100  -100

-19 ≥ m

or

m≤-19

hope this helps!!!

Solve both of these please.

Answers

Answer:

1.

( n + 4 ) - 9

- n - 4 - 9

- n - 13

2.

40 = x - 1

- x = - 1 + 40

- x = 39

Step-by-step explanation:

I duno if this is right...

Evaluate the following for f(-2)
F(x)=3x+2

Answers

Answer:

f(-2) = -4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 2

f(-2) is x = -2

Step 2: Evaluate

Substitute in x:                    f(-2) = 3(-2) + 2Multiply:                               f(-2) = -6 + 2Add:                                     f(-2) = -4

Answer    4

Step-by-step explanation:

3(-2)= -6

-6+2= -4

State whether each pair of triangles is similar by AA-SSS-or SAS-. If none of
these apply. write N.


Answers

It doesn’t tell me what to put

Someone please help mee!! It's Algebra 2...Will give brainliest/5 stars if correct. ONLY ANSWER IF SERIOUS PLEASEEE ♥ ♥

Answers

Answer:

Log7(1/49)=x  The first one

Step-by-step explanation:

I can't really explain how but hopeful this help

Solve equations by using elimination
-4+5y= 13
X-5y=21
( , )

Answers

Answer:

y=17/5 ,x= 38

Step-by-step explanation:

-4+5y =13 add 4 both side

4-4+5y=13+4

5y=17

5y/5=17/5 y=17/5

x-5y=21

x-5(17/5)=21

x-17=21

x=21+17= 38

help me please for brainlest

Answers

Answer:

25

I believe

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Which is an irrational number?
(rewarding brainiest and a follow)
A) 0.6
B) 5/3
C) |-3|
D) 0/9

Answers

Answer:

B

Step-by-step explanation:

Hope this helped you!!

Bridget, Brian & Caroline share some money in the ratio 4 : 9 : 4.
In total, Bridget and Caroline receive £48.
How much does Brian get?​

Answers

Answer:

the answer is 54

Step-by-step explanation:

48 / 4 is 12, so then divide that by 2 so they split equally because theirs combined added to 48, so 6.

6 * 9 is 54

help! I’m stuck.. this is due at 7:00pm

Answers

Answer: -6

Step-by-step explanation:

since they are both negative, they both will add up to be -6

The answer is -6 I believe I hope this helps :)

6/8w= -9/3

solve for w

pls hurry I need help I will give brainliest

Answers

Answer: w=−4

Step-by-step explanation:

hoped this helped

A bicycle is $55 at Walmart. It is 35% off. What is the discount?

Answers

Answer:

after a discount of 35% it would be $35.75

Step-by-step explanation:

hope this helped :D have a great day!

Three students Tahat, Promi and Kabi, Appeared at an examination. Promi secured 11 marks less than Tahat, 5 marks more than kabi and again. Tahat's marks were 75% of the sum of Promi and Kabi's marks. Find out their individual marks

Answers

Answer:     Tahat= 40.5 marks    Promi =29.5 marks,  Kabi =24.5 marks

Step-by-step explanation:

Step 1

Let the marks be represented as  x+11, x and x-5 for Tahat, Promi and Kabi respectively

and Tahat's marks which was 75% of the sum of Promi and Kabi's marks be expressed as

x+11 = 75/100(x + x-5)  

Step 2 --- Solving

x+11 = 75/100(x + x-5)  

x+ 11 = 3/4(2x-5)

x+11= 6x-15/4

4x+44=6x-15

44+15=2x

x= 59/2= 29.5,

A) x= Promi's  mark was 29.5

B)Promi secured 5 marks more than kabi

Therefore, Kabi's mark was 5 marks less than Promi

= x-5

29.5- 5= 24.5 marks

C)Promi secured 11 marks less than Tahat, Therefore Tahat marks were 11 marks more than Promi

x+11= 29.5 + 11= 40.5

Based on the given figure, determine the angles that show congruent alternate exterior angles

Answers

Answer:

Angle 1 and angle 8

Angle 2 and angle 7

Step-by-step explanation:

Alternate exterior angles are angles positioned alternating each other along the transversal, where both angles are found outside the two parallel lines cut across by the transversal.

Thus from the diagram given, the following are alternate exterior angles that are congruent:

Angle 1 and angle 8

Angle 2 and angle 7

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