Ivan and tanya share £150 in the ratio 4 : 1 work out how much more ivan gets compared to tanya.

Answers

Answer 1

Answer:

Ivan receives £120 more than Tanya.

Step-by-step explanation:

Total Money = £ 150

Ratio = 4:1

This means that Ivan gets 4x of £150 and Tanya gets 1x of £150.

Ivan's money = 4x

Tanya's money = 1x

Now, we know that total money is equal to the sum of Ivan's & Tanya's money.

Total money = Ivan's money + Tanya's money

£ 150 = 4x + 1x

£ 150 = 5x

150/5 = x

30 = x.

We have found the value of x, now we can substitute 30 in the place of x and find the money Ivan and Tanya get.

Ivan = 4x = 4×30 = £120.

Tanya = 1x = 1×3 = £30.

So, Ivan receives more money. But how much more? We can solve that by subtracting Tanya's money from the total amount.

Total amount - Tanya's money = 150 - 30 = £120.

So, Ivan receives £120 more than Tanya.


Related Questions

Janice works at the We Are Cells. She earns $650 per week plus a 15% commission on all new cell phone contracts that she sells each week. Write a linear function that represents the weekly salary.

Answers

Answer:

y=650+15x

Step-by-step explanation:

y=mx+b, b is starting amount, m is the multiplier for the x

uwu

what is the equation of 1. -3x - 5= 16 x=?

Answers

Answer:

1. -3x - 5= 16

-16-5=3x

x=-21/3=-7

do please help (THESE ARE EXTRA WORDS BECAUSE BRAINLY WANTS SOME)

Answers

Answer:

2 units to the right

1 units up

Step-by-step explanation:

1= x/25 please show your work​

Answers

Answer:

Your question is

1

=

2

5

1=\frac{x}{25}

1=25x

Solve

1

Multiply all terms by the same value to eliminate fraction denominators

2

Simplify

Multiply the numbers

Cancel multiplied terms that are in the denominator

Move the variable to the left

=

2

5

Solution

=

2

5

So I need 20 words but I don’t get why so here’s this useless sentence

Answers

Answer:

Oh lol im confused ‍

Step-by-step explanation:

Answer:  bombastic, hornswoggle, pandemonium,sesquipedalian, taradiddle, widget,  wigwam , willy-nilly, zeppelin , ziggurat , zigzag , zonked, wisenheimer , wishy-washy , woebegone, surreptitious , Svengali , swashbuckler , switcheroo , swizzlestick

Step-by-step explanation: here!!

Caroline uses 9.1 pints of blue paint and white paint to paint her bedroom walls. 1 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Answer:

6.83 pints

Step-by-step explanation:

The first step is to calculate the volume of the blue paint

= 9.1 × 1/4

= 2.275

Therefore the volume of the white paint can be calculated as follows

= 9.1 - 2.275

= 6.83

Hence the volume of white paint that Caroline used to paint her bedroom walls is 6.83 pints

Lin's father is paying for a $20 meal. He has a 30%-off coupon for the meal. After the discount, a 8% sales tax is applied.
What does Lin's father pay for the meal? Just type the number answer (without the dollar sign), and be prepared to explain or
show your reasoning.

Answers

Answer:

15.12

Step-by-step explanation:

Cost of meal = $20

Discount (coupon) = 30%

Amount of discount = 30% of $20

= 30/100 * 20

= 0.3 * 20

= $6

Amount paid after discount= initial cost of meal - discount

= $20 -$6

= $14

Sales tax =8%

Amount of sales tax = 8% of $14

= 8/100 * 14

= 0.08 * 14

= $1.12

Total amount paid = Amount paid after discount + Amount of sales tax

= $14 + $1.12

= 15.12

Can someone help me with 9,10, and 11 please you don’t have to do all of them just atleast one for me

Answers

For number 9, you would use the formula a^2+b^2=c^2, also “^” means exponents. C would be 35 because the angle is pointing right at it, keep that in mind. We have to find out the other angle so A would be X and B would be 20, it does not mater if you go b^2+a^2=c^2 or a^2+b^2=c^2. Now the equation is x^2+20^2=35^2, now you did the math you would get x^2+400=1225. You have to leave x alone so you would subtract 400 from 1225, now you have x^2=825. To cancel out the exponent for X, to do the square root of x^2, when you do that you cross out the square root and the exponent so all you have is X. Finally, what you do to one side you do to the other. The square root of 825 is 28 but if you round up it is 29 (you will see in the picture I send.) So, x=28

Hi! So what you will need to know is pythagorean theorm.

What the theorm basically says is a^2 + b^2 = c^2.

-- The (a,b,c) are referring to the sides of the triangles (3 letters for 3 sides).

Take note that "c" is always the side opposite of the right angle.

The other known side could be "a" or "b"

Taking a look at problem 9, identify the "c" value. The "c" value would be 35.

Then indentify the value of "b" or "a". "a" would = 20.

Plug it into the equation:

20^2 + b^2 = 35^2

400 + b^2 = 1225

solve for b.

1. subtract 400 from both sides.

b^2 = 825

b = [tex]\sqrt{825}[/tex]

you could solve for the square root but it would give a decimal numbers but I'm not sure what the teacher is looking for.

David has $40,000 in a savings account. The interest rate is 5% per year. How much
interest will he earn in 9 months?

Answers

Answer:

$4,537.55

Step-by-step explanation:

I did it on paper and you gotta calculate it, Hope this helps!

click the photo and help me please

Answers

Answer:

5^10

Step-by-step explanation:

Hope I helped!

Help me work out the equation of the line on this graph. I'll give out the brainiest!

Answers

Answer:

y=-1/4x+2

Step-by-step explanation:

The equation would be y=-1/4x+2 because the rise is -1 and the run is 4 (you could also say the run is -4 and the rise is 1. It doesn't really matter). The line also crosses the y axis at 2, which means that 2 is the y-intercept. :)

Answer:

y = (-1/4)x +2

Step-by-step explanation:

Having the actual graph is an easy way to calculate the equation of the line. Since the format is y = mx +b we just need to plug in numbers.

b = y-intercept

m = slope

We can automatically see that the y-intercept is 2, so b = 2. To find the slope we just calculate rise over run. The line is decreasing 1 unit for every 4 units it is "running". Therefore, -1/4 is your slope.

b = 2

m = -1/4

Now, all we need to do is plug in numbers.

y = (-1/4)x +2

If skim milk is 87% water, how much water is in 4 cups of skim milk?

Answers

Answer:

3.7 percent fat and 9 percent solids-not-fat.

Step-by-step explanation:

Milk is highly regulated and there is a “standard of identity” for milk, meaning cows' milk cannot include added water and still be called milk.

What is the solution to the equation?


x/7 +8 = 4


Enter your answer in the box.

x=

PLEASE ANSWER NOW

Answers

Answer:-28

Step-by-step explanation:

I WILL MARK BRAINLEST!!!!!!!!!!!!!!!!!!!
Which statements accurately describe religion in Africa? Select three options.

Folk religions are animistic.
Folk religions are based on traditions.
The major religions are Christianity and Islam.
Islam is primarily practiced in the eastern region of Africa.
Christianity is primarily practiced in the northern region of Africa.

Answers

Answer:

Folk religions are based in tradition

Folk religions are animistic

The major religions are christianity and islam

Correct statement regarding religion in Africa is that the major religions are Christianity and Islam.

At some point, Africans practiced traditional religions where they worshipped multiple gods and held deep reverence for their ancestors. This changed as Islam and Christianity took over the continent.

Islam was spread around Africa by:

wars of conquest in Eastern and Northern Africa trade and education in Western Africa

Christianity came later when:

Europeans colonized AfricaMissionaries held considerable influence with the colonial powers and so convinced many to join Christianity.

Therefore, We can say in conclusion that due to Muslim and European incursions in Africa, the major religions became Islam and Christianity.

Learn more about Africa here:

https://brainly.com/question/11402989

#SPJ2

The perimeter of a triangle is 19 units. The second side is four units longer than the first side and the third side is three times the length of the first side. What are the lengths of the sides?

Answers

Answer:

First: 3 units Second: 7 units Third: 9 units

Step-by-step explanation:

19=x+(x+4)+3x

19=5x+4

15=5x

x=3

first side is 3 units

3+4=7

second side is 7 units

3*3=9

third side is 9 units

how to simplify algebraic fractions

Answers

Answer:

You typically apply the same rules as you would for 'regular' fractions.

So you can multiply numerator and denominator by the same value if needed. If you want to add fractions you must make sure the denominators are the same, etc.

The value you multiply by can be an algebraic expression.

How does the value of the digit 3 in the number 63,297 compare to the value of
the digit 3 in the number 60,325? Be sure to include what you know about place
value in your answer.
Explain your answer.

Answers

Answer:

The number 3 in 63,297 is different then the 3 in 60,326 because the 3 in 63,297 is in the thousands place which is greater than the 3 in 60,326 because its in the hundreds place

Three numerical expressions that are equivalent to (0.0004) x (0.005)

Answers

Answer:

Numerical expression 1

[tex]\frac{4}{10000} * \frac{5}{1000} = \frac{20}{10000000} = \frac{1}{500000}[/tex]

Numerical expression 2

[tex]\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}[/tex]

Numerical expression 3

[tex]1 : 50000[/tex]

Step-by-step explanation:

Numerical expression 1

[tex]\frac{4}{10000} * \frac{5}{1000} = \frac{20}{10000000} = \frac{1}{500000}[/tex]

Numerical expression 2

[tex]\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}[/tex]

Numerical expression 3

[tex]1 : 50000[/tex]

SMART PPL PLEASE HELP ME

Answers

Answer:

last one (d)

Step-by-step explanation:

adding subtracting or dividing is not how you use a growth factor(what my school calls a percentage in a decimal form).

The last one is the correct answer

Find the value of x:
Geometry 6th Grade

Answers

Answer:

120°

Step-by-step explanation:

construct a line parallel to the two parallel lines through x

x = 70 + 50 = 120

what is the value of the discriminant? 4x2+15x=3x-9

Answers

Answer:

0

Step-by-step explanation:

Use the values of  a ,  b , and  c  to find the discriminant.

There are two right angled triangles

given that Tan A = Tan B

Find the value of X

Answers

Answer:

[tex]x = \frac{2}{3}[/tex]

Step-by-step explanation:

Given

See attachment for triangles

Required

Find x

First, calculate tan A

From the first triangle:

[tex]tan\ A= \frac{x + 2}{x}[/tex]

Next, calculate tan B

From the second triangle:

[tex]tan\ B= \frac{4}{3x-1}[/tex]

[tex]tan\ A = tan\ B[/tex]

So, we have:

[tex]\frac{x + 2}{x}= \frac{4}{3x-1}[/tex]

Cross Multiply

[tex](x + 2)(3x - 1) = 4 * x[/tex]

Open brackets

[tex]3x^2 + 6x - x - 2 = 4x[/tex]

[tex]3x^2 + 5x - 2 = 4x[/tex]

Collect Like Terms

[tex]3x^2 + 5x - 4x- 2 =0[/tex]

[tex]3x^2 + x- 2 =0[/tex]

Expand

[tex]3x^2 + 3x - 2x- 2 =0[/tex]

Factorize:

[tex]3x(x + 1) - 2(x+ 1) =0[/tex]

Factor out x + 1

[tex](3x - 2)(x +1) = 0[/tex]

Split:

[tex]3x - 2 = 0\ or\ x + 1 = 0[/tex]

[tex]x = \frac{2}{3}\ or\ x = -1[/tex]

x can not be negative, so:

[tex]x = \frac{2}{3}[/tex]

Shaq wants to buy a pair of sunglasses that is 35% off. The original price is $74. What is the amount of discount ( rounded to the nearest penny) ? What is the sale price? ( rounded to the nearest penny) .

Answers

The discount is $25.90
but the sale price is $48.10

Answer:

the new price is 25.9

Step-by-step explanation:

At a party, the amount of people who ate meatballs was 9 less than 3/5 of the total number of people. The number of people who ate meatballs was 24. How many people where at the party? Write an equation to help you solve the problem. Let x represent the number of people at the party.

Answers

Answer:

there were a total of 55 people at the party.

Step-by-step explanation:

In order to create the equation representing this scenario we first need to represent each step in a formula. Since the total number of people is represented by x we can multiply 3/5 by x and subtract 9 from that. This would then be equal to 24 like so...

3/5x - 9 = 24

Now that we have the formula we can perform opposite operations to isolate x and solve for it.

3/5x - 9 = 24   ... add 9 on both sides

3/5x = 33   ... divide both sides by 3/5

x = 55

Finally, we can see that there were a total of 55 people at the party.

Translate the sentence into an equation.

Twice the difference of a number and 9 equals 5.

Use the variable y for the unknown number.​

Answers

2x-5=9 or wait equal 5 so can it be 2x-9=5?

examine the diagram.
what is the m m

Answers

Answer:

78

Step-by-step explanation:

Answer: 76

Step-by-step explanation:

48 + 56 = 104

180 - 104 = 76

What is 5 - 5/7 = ? (Simplfy)

Answers

5 - 5/7 is 30/7 which is 4 2/7

WILL MARK BRAINLIEST PLS HELP
If you are trying to find out the most popular movie for 2020, which of the following should you do? *

Ask every adult sitting in the movie theatre
Survey every fifth person walking out of a movie theatre
Ask the students in your homeroom at school
Survey every tenth person in the mall food court

Answers

Answer:

D

Step-by-step explanation:

Harvey is studying the polynomial f(x) = (2x - 3)(x - 4)(x2 + 3) and determines that the polynomial has four real roots. Is
Harvey's statement CORRECT?
A. No, the polynomial f(x) has 2 real roots and 2 complex roots when solved.
O B. Yes, the polynomial f(x) has 4 x-intercepts so the function has 4 real roots.
C. Yes, the polynomial f(x) has a degree of 4 so the function has 4 real roots.
OD. No, the polynomial f(x) has 3 real roots because there are 3 factors.

Answers

Answer:

It is A, I highly suggest you should read my explanation.

Step-by-step explanation:

(2x - 3)(x - 4)(x^2 + 3)

Exponent of 2x = 1

Exponent of x = 1

Exponent of x^2 = 2

Add them all together to get the degree. 1 + 1 + 2 = 4

Now we can tell that the polynomial can have 1,2,3,4, or no roots at all. The max number roots it can have is 4

To see the number of roots it has, we have to set each part equal to 0

2x - 3 = 0

Add 3 to both sides

2x - 3 + 3 = 0 + 3

2x = 3

Divide both sides by 2

2x/2 = 3/2

x = 3/2 or 1.5

Next,

x - 4 = 0

Add four to both sides

x - 4 + 4 = 0 + 4

x = 4

Then,

x^2 + 3 = 0

Subtract 3 from both sides

x^2 + 3 - 3 = 0 - 3

x^2 = -3

Find the square root of both sides

sqrt(x^2) = sqrt(-3)

x = i*sqrt(3), -i*sqrt(3)

Those are imaginary numbers, therefore there are not real.

The real roots are x = 3/2, 4

Harvey stated that this equation has four real roots. We can cross options B and C out since they stated he was correct.

It is not D because finding a square root of a number gives two answers; the positive and negative version, so it will have two solutions. There were only two real roots and the other two roots are complex roots.

That leaves us to option A, which states that there are 2 real and 2 complex roots. It is correct

A parking lot has 25 empty spaces. If the percentage is 80, how many spaces are there in total?

Answers

Answer:

31

Step-by-step explanation:

25/0.80=31.25

(You cant have a quarter of a parking space.)

There should be about 31 parking spaces total. 25/80=0.3125*100=31.25
Other Questions
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