Will mark brainliest. Include explanation.

Jason's initial share was £360 before giving 45% to his mum. The total money shared was £1800. Katy receives £864 more than Jason.

First, we need to find out how much money Jason initially received before he gave away 45% to his mum. Since £198 is 55% of his initial share (100% - 45% = 55%), we can find the full amount by calculating £198 ÷ 0.55. This gives us Jason's total share before he gave any money to his mum, which is £360.

Given that Jason gets 1/5 of the money, we multiply his share by 5 to find the total amount of money shared, which is £360 × 5 = £1800. Since Jason took his 1/5 share, the remaining 4/5 is shared between Katy and Leonard in the ratio 17:3. Hence, the combined share of Katy and Leonard is 17 + 3 = 20 parts of the remaining money.

To find out how much each part is worth, we divide the remaining money by 20. The remaining money is 4/5 × £1800 = £1440, so each part is worth £1440 ÷ 20 = £72.

Hence, Katy receives 17 parts × £72 = £1224, and Leonard receives 3 parts × £72 = £216. The difference in the amount received by Katy compared to Jason is £1224 - £360 = £864, so Katy receives £864 more than Jason.

Answer:

87°, 68°, and 25°

Step-by-step explanation:

All the angles in a triangle will equal to 180° so with knowing this you can create the equation...

(7x-11)° + (2x-3)° + (5x-2)° = 180°

(14x-16)° = 180°

14x = 180° + 16°

14x = 196°

x = 14°

Knowing x you can substitute this value into each angle.

7(14)-11 = 87°

5(14)-2 = 68°

2(14)-3 = 25°

To confirm that these are the right answers you can add all these angles to see if they equal to 180°.

87° + 68° + 25° = 180°

Answer:

7x -11  = 87 degree

5x-2  = 68 degree

2x-3 = 25 degree

When you turn this triangle into a parallelogram, we remember the opposite angles add up to 180 so we label top or bottom corner angle label it x/2 in this diagram as 7x is higher we label this one x/2 instead to make a parallelogram make sense to the triangles, being the ratio angles of each 4 corners.

We then know that that triangle within other angles at the bottom are smaller as they share another angle where top missing quadrilateral angle shares the left bottom supplementary angles as 2 opposite ends on a parallelogram add up to 180 degree.

We do the sums and call x 14 start with the top angle first

7x -11 = 7(14) -11 = 98-11 = 87 degree

5x-2 = 5(14)-2 = 68 degree

2x-3 = 2 (14) -3 = 25 degree

If you do this again for different measures and find the bottom angle is higher then you just redo your workings as bottom first is higher and find why with x.

To show your ways of reasoning that all x = 14 etc.

x= 14

Step-by-step explanation:

Answer:

There are 5 adults and 15 children in the family.

Step-by-step explanation:

Given

Number of people in the family = 20

Cost of adults tickets = $8

Cost of children tickets = $4

Total ticket sold = $100

Required

How many adults and children are in the family.

Let C represent children and A represent adults.

If there are 20 members of the family, then.

A + C = 20

Also, if adult tickets is sold for $8 and children tickets is sold for $4 and the total cost of tickets were $100, then we have

8A + 4C = 100.

Now, we have two equations to be solved simultaneously.

A + C = 20 --- (1)

8A + 4C = 100 ---- (2)

Make C the subject of formula in (1)

C = 20 - A.

Substituton 20 - A for C in (2)

8A + 4(20 - A) = 100

8A + 80 - 4A = 100

Collect like terms

8A - 4A = 100 - 80

4A = 20

Multiply both sides by ¼

¼ * 4A = ¼ * 20

A = 5

Recall that C = 20 - A

So,

C ,= 20 - 5

C = 15.

Hence, there are 5 adults and 15 children in the family.

The Question was solved by getting an expression to represent the amount of tickets that were sold and another expression for the total number of people in the family.

The two expressions gave us a simultaneous equation and the equations were solved simultaneously.

Answer:

Your answer would be C

Step-by-step explanation:

Answer:

The answer is A

with fractions divide the smaller number over the larger number

1/4 = 1 divided by 4

or

think of the scenario of 4 quarters

1 quarter = 25 cents out of 100 cents

so

1/4 = 0.25

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Answer: The answer is (-6,-2)

Answer:

A

Step-by-step explanation:

We have been given an equation [tex]w=\frac{3}{2}t-1[/tex] that represents umber of walls, w, that Joe can paint in t hours. We are asked to find the number of hours it will take Joe yo paint 7 walls.

To solve our given problem, we will substitute [tex]w=7[/tex] in our given equation as:

[tex]7=\frac{3}{2}t-1[/tex]

Let us solve for t.

[tex]7+1=\frac{3}{2}t-1+1[/tex]

[tex]8=\frac{3}{2}t[/tex]

[tex]8\cdot\frac{2}{3}=\frac{2}{3}\cdot\frac{3}{2}t[/tex]

[tex]\frac{8\cdot2}{3}=t[/tex]

[tex]\frac{16}{3}=t[/tex]

Therefore, it will take [tex]\frac{16}{3}[/tex] hours Joe to paint 7 walls.

Answer:

-40

Step-by-step explanation:

Answer:

C=-40

Step-by-step explanation:

C/8+25=20

C/8=-5

C=-40

Answer:

Technically it is 5/12, but as a percentage it would be 41.6666%

Answer:

Randomly selecting the first red marble is a 5/12 chance.

Picking the red marble again would be 1/3 or 4/12 chance

Step-by-step explanation:

Answer:

I need more information to solve this.

Step-by-step explanation:

Standard form is a formula: if I remember correctly, it is Ax+By=C

I hope I helped somehow!

Answer:6,051

Step-by-step explanation:1+2+3+2,014+2,015+2,016

Answer:

1016065

Step-by-step explanation:

Answer: It’s 26 or D.

Step-by-step explanation: I got it right on Edge Quiz.

Answer:

2 whole cups and 1 4th of a cup

Step-by-step explanation:

( -3, -2.5, -1, .66, 4, 23 )

( -2.5, -.75, .75, 1, 3 )

( -34, -27, -13, 12, 36, 63 )

Answer:A

Step-by-step explanation: this is aquadratic equation and can be solved by using factorisation.

To use factorisation method we need to look for two numbers that when we muliply them we get +1 and when we add them we get -2

So that is -1 and -1

-1*-1=+1

-1+(-1)=-2

so now we substitube -2x with the two known factors which will give us;

x²-1x-1x+1=0

now we factorise this equation. which will give us;

x(x-1)-1(x-1)=0

now we pick the factors outside the bracket and the factors inside the bracket, which will give us;

(x-1)(x-1)=0

so;

x-1=0 and

x-1 =0

take 1 to the other side, which will give us;

x=1 two timesA

Answer:

(x - 3)(x + 8)

Step-by-step explanation:

x² + 5x - 24 =

= x² + 8x - 3x - 24

= x(x + 8) - 3(x + 8)​

= (x - 3)(x + 8)

Answer:

(x + 8)(x - 3)

Step-by-step explanation:

Assuming you require to factor the expression.

Given

x² + 5x - 24

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (+ 5)

The factors are + 8 and - 3, since

8 × - 3 = - 24 and 8 - 3 = + 5, thus

x² + 5x - 24 = (x + 8)(x - 3) ← in factored form

Answer:

7 students

Step-by-step explanation:

I multiplied .25 by 28

.25=25%

of = multiply

Answer:

[tex]\frac{1}{15}[/tex] of a gallon.

Step-by-step explanation:

It's just:

[tex]\frac{1}{3} *\frac{1}{5} =\frac{1}{15}[/tex]

So [tex]\frac{1}{15}[/tex] of a gallon on each sundae.

The chocolate sauce on each sundae is B) 1/15.

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

Now it is given that,

Volume of chocolate sauce = 1/3 gallon

Number of chocolate sundaes = 5

So, chocolate sauce is on each sundae = Volume of chocolate sauce / Number of chocolate sundaes

⇒ chocolate sauce is on each sundae = (1/3)/5 gallon

⇒ chocolate sauce is on each sundae = 1/15 gallon

Thus, the chocolate sauce on each sundae is B) 1/15.

To learn more about Division :

brainly.com/question/28032495

#SPJ2

Answer:

6 Pets Cory has

Step-by-step explanation:

Answer:

Cory's family:

3 cats

3 dogs

Step-by-step explanation:

Paula's family-

1 cat

1 dog

Yuri's family:

2 dogs

1 cat

3 lizards

Cory's family:

3 cats

3 dogs

Step-by-step explanation:

I think we can add all arrangements to find the total no of arrangements to prepare

120 + 85 + 46

= 251

Answer:

Friday

Step-by-step explanation:

Just count on your fingers to get Friday

Answer:

Friday

Step-by-step explanation:

think then you will get it

please give me brainly  

Answer:

2: 2,3

3: 4

Step-by-step explanation:

Answer: -4p³ - 3p² - 17p

Step-by-step explanation:

I hope this helps!

Answer:measure is 24.72°

Step-by-step explanation:U can trust cause i actualy was deticated to solve it XD

Answer:

4x+12 = 4(x+3)

bx-2x = x(b−2)

x^2-6x+9 = (x−3)(x−3)

x^2-4x+4y^2? Don't understand

4a^2-9 = (2a+3)(2a−3)

Step-by-step explanation:

We are asked to find 7 is what percent to 30.

We will use proportions to solve our given problem.      

Let us assume that 7 is n% of 30. So we can set a proportion as:

[tex]\frac{n}{100}=\frac{7}{30}[/tex]

Let us solve for n.

[tex]\frac{n}{100}\cdot 100=\frac{7}{30}\cdot 100[/tex]

[tex]n=\frac{7}{3}\cdot 10[/tex]

[tex]n=\frac{70}{3}[/tex]

[tex]n=23.333[/tex]

Therefore, 7 is [tex]23.333\%[/tex] of 30.