The ratio of money in Terry's bank account to Faye's bank account was 3:5.
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's initial amount = £780

Step-by-step explanation:

Given that:

Ratio of Terry's money to Faye's money = 3 : 5

Let,

x be the amount of money.

Terry's amount = 3x

Faye's amount = 5x

Now,

3x + 220 = 5x - 300

220+300 = 5x - 3x

520 = 2x

2x = 520

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{520}{2}\\x=260[/tex]

Terry's initial amount = 3x = 3(260) = £780

Hence,

Terry's initial amount = £780


Related Questions

Help please !!!!!!!!!!!!!

Answers

It’s a perpendicular is two lines that intersect creating a cross

slope 5.000

Intercept of x = -0.60000

Intercept of y= 3.0000

Math whizzes assemble! this is a tough one, this is a question on my study guide its a screenshot, any help would be appreciated.

Answers

Answer:

x = 6   y = -9   (I took a complicated route so if my explanation doesn't make sense It's fine)

Step-by-step explanation:

DAY = FUN

F = (7x+2y) = 24

If DAY = FUN then D = F making (7x + 2y) = 24

This means A = U so you have to find U with 24+126=150

A triangle is 180 degrees so you would do 180-150=30

U = 30

This also makes (8x+2y) = 30

8x + 2y = 30

-8x           -8x

2y = 30 - 8x

Divide everything by 2

y = 15 - 4x

Doing this you can take 7x + 2y = 24 and plug in 7x + 2(15 - 4x) = 24

Multiply it 7x + 30 - 8x = 24

Add like terms -x + 30 = 24

Subtract 30      -x = -6

Divide by -1       x = 6

Now take one of the equations and plug it in 7(6) + 2y = 24

Multiply 42 + 2y = 24

Subtract 2y = -18

Divide by 2    y = -9

Cheryl is buying lace for her dance costume. One foot of lace costs 3 dollars. How much does each amount cost? 3/4 of a foot?

Answers

Step-by-step explanation:

one foot cost 3 so a fourth of one foot is one fourth of three which is .75 and .75 x 3 is 2.25

Compounding comparing accounts

Answers

Answer:

hi

Step-by-step explanation:

what's up

Plz I will give brainliest

Answers

Answer:

I'm so confused

Step-by-step explanation:

did you forget to add a picture

Can you please help me !!

Answers

Step-by-step explanation:

i think 2 because the 10 could be divided by 5

which would give you

r ^2 + 2

1. 2

plz help me and i will mark u brainliest

Answers

Answer:

[tex]-\frac{7}{24}[/tex]

Step-by-step explanation:

When subtracting a negative, it turns into a positive, so:

[tex]\frac{1}{8} -\frac{5}{12}[/tex]

Now find a common denominator:

[tex]\frac{3}{24} -\frac{10}{24}[/tex]

[tex]-\frac{7}{24}[/tex]

If 15 larger paper clips were laid end to end to make a length of 17 7/8 inches, is each paper clip larger or smaller than one inch? Explain how you know.​

Answers

Answer:

Larger than [tex]1\ \text{inch}[/tex]

Step-by-step explanation:

The total lenght of [tex]15[/tex] paper clips is [tex]17\dfrac{7}{8}=\dfrac{143}{8}\ \text{inches}[/tex]

In order to find the length of [tex]1[/tex] paper clip we divide the total length of the paper clips by [tex]15[/tex]. So,

[tex]\dfrac{\dfrac{143}{8}}{15}\\ =\dfrac{143}{8}\times\dfrac{1}{15}\\ =\dfrac{143}{120}\\ =1\dfrac{23}{120}=1.1917\ \text{inches}[/tex]

So, one paper clip is [tex]1.1917\ \text{inches}[/tex] long which is larger than [tex]1\ \text{inch}[/tex].

Answer:

didvid the number and that got you a big number

Which notation describes {1, 2, 3}

Answers

first three natural numbers

First, three natural numbers notation describes {1, 2, 3}.

What is set notation?

In mathematics, set notation is essentially a list of numbers, things, or results. Curly brackets, often known as braces, are used for set notation. The items included between brackets are referred to as elements of a set and are not required to be in any particular order.

Given, a set  {1, 2, 3}

Since a set notation used to represent the elements of a set is the curly brackets { }. An example of a set is A = {a, b, c, d}. Here the set is represented with a capital letter, and its elements are denoted by small letters.

These given number best fit in the category of natural numbers.

Therefore, First, the notation for three natural numbers shows  {1, 2, 3}.

Learn more about set notation here:

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Need help!

Which answer is correct?

Answers

Answer:

the answer is a

Step-by-step explanation:

The answer is A hdhdjdujdjdidjdidjdd

Help pleaseeeeeeeee!!!!

Answers

Answer:

c . 2×1+0×(1/10)+59×(1/1.000)

All Major League Baseball stadiums use standard measurements for their infield area. The pitcher's mound is a circle with a diameter of 18 feet. What is the approximate area that the pitcher's mound encompasses? Do not round your answer.

Answers

Answer:

254 4/7 or 254.34 ft² (it depends on which method you use.)

Step-by-step explanation:

To find the area of a circle, the formula is πr².

I'll use both 22/7 and 3.14 as pi, so I'll end up with two different answers. Just choose the more reliable one.

22/7 version:

22/7 * 9^2

22/7 * 81/1

1782/7

254 4/7 ft²

3.14 version:

3.14 * 9^2

3.14 * 81

314 - (3.14 * 19)

314 - 62.8 + 3.14

251.2 + 3.14

254.34 ft²

As I said, I ended up with two different answers. You also had said not to round my answer, so the 22/7 version has a mixed number.

if cos t = 2/3 find sin t

Answers

sin T = 2/3 in QII means y = -√5 By Pythagoras
cos T = -√5 / 3

2^100 -2 modulo 100

WILL GIVE BRAINLIEST

Answers

Answer:

Wait what are you asking?

The exact form: 2^100 -2

The Decimal form: 1.2676506 times 10^30

Answer:

I need 1 Brainliest before I can become Virtuoso

Step-by-step explanation:

Zoom in to see more clear :)

Answers

Answer:

1) x=30 degrees

2)y=20 degrees

1) 3x+2x+1x= 6x (a triangle is normally 180 degrees) 180 divide 6=30 (this is because 6 Xs make up the triangle)

2) 2y+5y+5+y+15= 8y+20, (since a triangle has 180 degrees) 8y+20=180 (-20 from both sides) 8y=160, 160 divide 8=20

(I hope this makes sense)

Find a reason why each number doesn't belong to the rest of the group. On this question, there are MANY right answers.


the numbers are 9 16
25 43

Answers

Step-by-step explanation:

its 5

PLEASE I REALLY NEED THE ANSWER Q:Twins occur once in every 89 births. Identical twins occur 4 times in every 1,000 births. Triplets occur once in every 7.900 births. Write each birth frequency as a decimal. Round to the nearest ten-thousandth.

Answers

Answer:

Twins=0.004

Triplets=0.0001 OR 0.00012658227

Find the parallel and perpendicular slope of a line if linear equation is 7y=20(x-3) Slope (Parallel) is ____ Slope (Perpendicular) is _____​

Answers

Answer:

The parallel line has slope [tex]\frac{20}{7}[/tex]

The perpendicular line has slope [tex]-\frac{7}{20}[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope.

Parallel lines:

Parallel lines have the same slope.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

We have the following line:

[tex]7y = 20(x-3)[/tex]

Placing it in the general format

[tex]7y = 20x - 60[/tex]

[tex]y = \frac{20x}{7} - \frac{60}{7}[/tex]

So this line has slope [tex]\frac{20}{7}[/tex]

Parallel line:

Same slope, so the parallel line has slope [tex]\frac{20}{7}[/tex]

Perpendicular line:

Multiplication of the slopes is -1. So

[tex]\frac{20m}{7} = -1[/tex]

[tex]20m = -7[/tex]

[tex]m = -\frac{7}{20}[/tex]

The perpendicular line has slope [tex]-\frac{7}{20}[/tex]

Please help me with this question it’s due in 5 minutes!!!!

Answers

An equation of the line that passes through the points (-6, -2) and (-3,2) will be:

Ezra earns $9 an hour working at the bookstore. She works for 7 hours each day on mondays and Wednesday’s. How much does Ezra earn each week

Answers

Answer:126

Step-by-step explanation:

9x7x2 = 126

The Williams family went out for dinner last night. The bill came to $59.95. What amount should they leave if tax is 7% and they
leave a 20% tip?

Answers

Answer:

76.1365

add 27% to 59.95

ASAP ITS DUE TODAY!
Bena is planting 150 trees on her property. She has planted 48 trees. How many more trees does Bena have to plant? Write, solve, and check an equation for this situation. Define the variable

Answers

Answer:

She would have to plant 102 more trees.

Step-by-step explanation:

150-48=102

Check: 102+48=150

What is the equation in slope-intercept form for the line that passes
through the points (-1, 3) and (-2, -3)?
A. y = 6 - 9
C. y=-6x - 9
B. y = 6x + 9
D. y = -x + 9

Answers

Answer:

y = 6x + 9

Step-by-step explanation:

Δy =-3-3 = -6

Δx =-2-(-1) = -1

Slope = Δy/Δx = 6

Point-slope equation for line of slope 6 that passes through (-1,3):

y-3 = 6(x+1)

Rearrange to solve for y:

y = 6x + 9

At a local fitness center, gym members pay $3 per workout with an annual membership fee of $140. Non-members pay $10 per workout. If you plan on working out an average of twice a month for the next year, is a membership worth the investment? Show your thinking

Answers

Answer:

Yes, the membership is worth it.

Step-by-step explanation:

Per workout : $10× 24 days = $240

Per workout with th membership: $3 × 24 days = $72+ $140 = $212

I need help getting the answer to this question. ​

Answers

Step-by-step explanation:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

I think this should help ya! -Furreto

the actual distance between two cities is 135 km. The map scale is 1cm: 100 km. Find the map distance.

someone pls helpp !!!

Answers

Answer:

1.35cm

Step-by-step explanation:

Given the scale of the map

1cm = 100km

For 135km;

x cm  = 135 km

Divide both equations

1/x = 100/135

100x = 135

x = 135/100

x = 1.35cm

Hence the map distance will be 1.35cm

what is 8.04=7+? can some one help me for this question please

Answers

Answer:

1.04

Step-by-step explanation:

8.04 - 7 = 1.04

I hope this helps!

Answer:

8.04=7+1.04is your answer.

Janis is the set designer for a play. She has 40 feet of dividers to use to create a section in the workshop for storing props. She plans to create the space in the corner of the workshop and use the dividers to create the extra two walls. The area of the sectioned off space, A, is modeled by this equation, where x is the width of the prop section.



Which equation reveals the dimensions that will create the maximum area of the prop section?

A.

B.

C.

D.

Answers

The answer for this question is D

The equation which reveals the dimensions that will create the maximum area of the prop section is;

[tex]A = - (x-20)^2 + 400[/tex]

Option D is true.

Here,

We have to find, The equation which reveals the dimensions that will create the maximum area of the prop section.

What is Dimension?

The measure of the size or distance of an object or region or space in one direction is called Dimension.

Now,

The area of the sectioned off space, A, is modeled by this equation;

[tex]A = -x^{2} + 40x[/tex]

Where,  x is the width of the prop section.

Hence,

[tex]A = -x^{2} + 40x\\\\A = - (x^{2} -40x)\\\\A = - ((x - 20)^2 - 20^2)\\\\A = - ((x-20)^2 - 400)\\\\A = - (x-20)^2 + 400[/tex]

Clearly, We can say that;

A ≤ 400

So,

The equation which reveals the dimensions that will create the maximum area of the prop section is;

[tex]A = - (x-20)^2 + 400[/tex]

Option D is true.

Learn more about the dimension visit:

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Two planes intersect at a...
A. Plane
B. Power
C. Point
D. Line

Answers

Answer:

D. Line

Step-by-step explanation:

If a number is odd, then it has a remainder of 1 when divided by 2.


Which is the conclusion of the conditional

Answers

Answer:

A number is odd

Step-by-step explanation:

Odd numbers are not completely divisible by 2.

What is the importance of knowing divisibility rules?

The importance of knowing divisibility rules is that we can determine whether a number is divisible by certain numbers generally from 1 to 20 or not without actually dividing.

A number is divisible by 2 if it's unit digit is divisible by 2.

A number is divisible by 3 if the sum of the digits is divisible by 3.

A number is divisible by 4 if the last two digits is divisible by 4.

A number is divisible by 5 if its unit digit is 5 or 0.

A number is divisible by 9 if the sum of the digits is divisible by 9.

A number is divisible by 10 if its unit digit is 0.

Given, If a number is odd, then it has a remainder of 1 when divided by 2.

So the numbers which are not completely divisible by 2 have a remainder and are odd numbers and numbers which are completely divisible by 2 with no remainder are even numbers.

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