Will and Ben win £1000 in a raffle
they give a fifth of it to charity and share what's left in the ratio 1:3.
How much is bens share

Answer:

8th term is 179.15904

Step-by-step explanation:

The sequence is geometric with a common ration = 6/5

r = 60/50 = 72/60 = 6/5

Use the formula

[tex]a_{n} = ar^{n - 1}[/tex]

In your case a = 50, r = 6/5 and n = 8

[tex]a_{8} = 50(6/5)^{8 - 1} \\ = 50(6/5)^{7} \\ = 50(279936/78125)\\ = 179.15904[/tex]

Answer:

Domain: [tex]x\leq 2[/tex]

Range: (∞,0)

Step-by-step explanation:

Answer:

4. 21

5. 45

6. 22

Step-by-step explanation:

4. 6 + (2^4) - 1

   6 + (16) - 1

   22 - 1 = 21

5. (4 * 3²) + (18 - 9)

   (4 × 9) + (9)

   (36) + (9) = 45

6. 16 + (5² - 7) ÷ 3

PEMDAS tells us to do what's in Parentheses first

16 + ( 25 - 7) ÷ 3

16 + (18/3)

16 + 6 = 22

Answer:

42

Step-by-step explanation:

subtract 83 from both sides geet q=42

Answer:

you have 26 cups so i think its the 4th one or the 5th one

Step-by-step explanation:

Hope this helps!

Answer:

x < 11

Step-by-step explanation:

Taking the problem piece by piece;

five is greater than

5 >

the result of taking six away from x

x - 6

Solve for x;

5 > x - 6

5 + 6 > x

11 > x

x < 11

Answer:

Y = -1/2x + 7/2

Step-by-step explanation:

slope = -1/2

Answer:

72 lb

Step-by-step explanation:

Write and solve an equation of ratios:

80 pounds             x

----------------- = ------------------

100 pounds      90 pounds

Cross multiplying, we get (100 pounds)x = 7200, or x = 72 pounds.

The 80 pound child's weight includes 72 pounds of water.

Answer:

Step-by-step explanation:

outer area=

first need to find the circumference of outer diameter

= π×4.8

= 15.079644.... cm

to find the outer curved area you would then do

= 77×15.079644

(ii) =1161.13264 cm²

inner curve area

circumference= π×4

=12.5663706.... cm

77×12.5663706

(i) =967.610537 cm²

total surface area=

as the outer and inner curved areas are already found only the top and bottom surfaces need to be

= area of larger circle

=π×4.8²

=72.382294.... cm²

smaller circle

=π×4²

=50.2654824.... cm²

72.382...-50.265

=22.1168116 x 2

=44.2336232 cm²

total surface area

(iii)= 2172.9768 cm²

(round this to however many decimals you need)

I hope this is understandable and useful!

also how many marks is this for?

Answer:

(14 groups)

14 divided by 7 = 2

Therefore 14 is your answer

Step-by-step explanation:

lol that's all I got

Answer:

1120

Step-by-step explanation:

Answer:

The probability of rolling a dice six time until a 7 is first seen is 0.059

Step-by-step explanation:

The probability of getting a seven is equal to [tex]\frac{1}{10}[/tex]

The dice need to be rolled only six times.

This means that for the first 5 times the dice showed values other than 7 and in the last roll it displays 7

Hence the probability of rolling a dice six time until a 7 is first seen is

[tex](\frac{9}{10})^5 * (\frac{1}{10})^1[/tex]

[tex]= \frac{9^5}{10^6} \\= 5.90[/tex] % or 0.059

Answer:

We conclude that the solution is:

Step-by-step explanation:

Given the equation

[tex]12\left(x\:+\:8\right)\:=\:11x\:-\:5[/tex]

Expand 12(x + 8):  12x + 96

[tex]12x+96=11x-5[/tex]

Subtract 96 from both sides

[tex]12x+96-96=11x-5-96[/tex]

Simplify

[tex]12x=11x-101[/tex]

Subtract 11x from both sides

[tex]12x-11x=11x-101-11x[/tex]

Simplify

[tex]x=-101[/tex]

Therefore, we conclude that the solution is:

Answer:

28/15

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

If my eyes don’t fail me, it‘s true.

Sorry in advance if it’s wrong :<

Answer: True

Step-by-step explanation:

Answer:

[tex]\boxed{\textsf{ Hence the solution set is$ \bf{\bigg( \dfrac{33}{4},\infty \bigg) }$}}.[/tex]

Step-by-step explanation:

A inequality is given to us and we need to find the solution set. So the given inequality to us is ,

[tex]\bf\implies -4x + 35 > 2 \\\\\bf\implies -4x > 2-35 \\\\\bf \implies -4x > -33 \\\\\bf \implies x >\dfrac{-33}{-4}\\\\\bf \implies x > \dfrac{33}{4} \\\\\bf\implies \boxed{\pink{\bf x \in \bigg(\dfrac{33}{4}, \infty \bigg) }}[/tex]

Answer:

Step-by-step explanation:

5

Answer:

3( y - 2) + 2y =9

Step-by-step explanation:

It equals 3.

Answer:

y=3

Step-by-step explanation:

3(y-2)+2y=9

3y-6+2y=9

Isolate the variable y by transposing

3y+2y=6+9

5y=15

Simplify

y=3

Answer:

36°

Step-by-step explanation:

(6x)° + 54° = 90°

(complementary angles)

(6x)° = 90°- 54°

(6x)° = 36°

Answer:

4

Step-by-step explanation:

Answer:

 C

Step-by-step explanation:

Answer:

Emily's investment = $8,000

Step-by-step explanation:

Let Emily's invested amount = x

Let Samira's amount = y

8% of Emily's amount = 8/100 × x = 0.08x

9% of Samira's amount = 9/100 of y = 0.09y

∴ 0.08x + 0.09y = 1720

multiplying through by 100

8x + 9y = 172000 - - - - - (1)

7% of Emily's amount = 0.07x

6% 0f Samira's amount = 0.06y

0.07x + 0.06x = 1280

multiplying through by 100

7x + 6y = 128000 - - - - - - (2)

Next, let us subtract eqn 2 from eqn 1

equation (1) - equation 2

    8x + 9y = 172000

-

    7x + 6y = 128000

=     x + 3y = 44000 - - - - (3)

from eqn (3) x = 44000 - 3y - - - - - (4)

putting this value of x into eqn 1

8x + 9y = 172000

8 (44000 - 3y) + 9y = 172000

352000 - 24y + 9y = 172000

-15y = 172000 - 352000 = -180000

y = 180000 ÷ 15

y = $12,000

finding x using eqn (4)

x = 44000 - 3y

x = 44000 - 3(12000)

x = 44000 - 36000

x = $8,000

∴ Emily's investment = $8,000

Answer:

2z+7

Step-by-step explanation:

2*z+7

2z+7

Answer:

minimum: ([tex]\frac{\sqrt{3} }{3} , -\frac{8\sqrt{3} }{9}-2[/tex])

maximum: (-[tex]\frac{\sqrt{3} }{3} , \frac{8\sqrt{3} }{9}-2[/tex])

vertical intercept: (0 , -2)

Step-by-step explanation:

Answer:

6:2

Step-by-step explanation:

X share from old ratio is 1/2

Y share from old ratio is 1/3

Z share from old ratio is 1/6

Now, we are told Y retires and that X and Z purchase his shares.

Thus;

Amount X took from Y = 1/2 × 1/3 = 1/6

Amount Z took from Y = 1/6 × 1/3 = 1/18

Thus, new share of X is now; 1/6 + 1/2 = 2/3

New share of Z is now; 1/18 + 1/6 = 4/18 = 2/9

Ratio is now X:Z = 2/3 : 2/9 = 6:2

Answer: 60 m

Step-by-step explanation:

The park is said to be square which means that all of its sides are equal.

If the fence is supposed to be put around the park, it is an indirect question asking for the perimeter of the square.

Perimeter of a square:

= 4 * length

= 4 * 15

= 60 m

Answer: 3x=60

Step-by-step explanation:

12x-20=10x+20

X=20

3(20)= 60