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3 years ago

David & Dan share a lottery win of £9900 in the ratio 3 : 2.

Mathematics

2 answers:

Zepler [3.9K]3 years ago

7 0

Answer:

sum of ratio =3+2=5

David'share=£9900x3/5=£5940

Sum of ratio for part= 4+4+2=10

for himself=£5940x4/10=£2376

for wife=£5940x4/10=£2376

for son=£5940x2/10=£1188

his wife gets over son

£2376-£1188=£1188

love history [14]3 years ago

3 0

Answer:

1188 pounds

Step-by-step explanation:

your welcome :)

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HELP ME ANYONE ANYONE PLEASEEEEE I BEG FOR LOVE OF JESUS

soldi70 [24.7K]

Answer:

b. -84

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{a}{-7} - 7 = 5$

Step 2: Solve for a

Addition Property of Equality: $\displaystyle \frac{a}{-7} - 7 + 7 = 5 + 7$
[Simplify] Add: $\displaystyle \frac{a}{-7}= 12$
Multiplication Property of Equality: $\displaystyle -7 \cdot \frac{a}{-7} = 12 \cdot -7$
[Simplify] Multiply: $\displaystyle a = -84$

Step 3: Check

Plug in a into the original equation to verify it's a solution.

Substitute in a: $\displaystyle \frac{-84}{-7} - 7 = 5$
[Frac] Divide: $\displaystyle 12 - 7 = 5$
Subtract: $\displaystyle 5 = 5$

Here we see that 5 does indeed equal 5.

∴ a = -84 is the solution to the equation.

7 0

3 years ago

8−i

GalinKa [24]

Hi Veracity,

Answer:

(2 + i) = 2

Step-by-step explanation:

Multiply the denominator and numerator by the conjugate,

= $\frac{(8 - i)(3 + 2i)}{13}$

Combine Like Terms,

= $\frac{26 + 13i}{13}$

Simplify,

= 2 + i

Hope This Helps :)

3 0

3 years ago

3.2 Q19 Find and interpret f(40)

disa [49]

For (a), $f(40) = 0.77(40)^3-878(40)+37764=51,924$ .

7 0

3 years ago

During play, a ball with a diameter of 3.00 inches splits exactly in half. What is the volume of each portion of the ball?

Nat2105 [25]

Hello there!
The answer to your question is A. 1.75 in.³
The ball split, so now the diameter is 1.50 in. The radius is always half of the diameter. So now, do the volume formula for a sphere. You answer should turn out to be A.
Hope I helped!

5 0

3 years ago

Read 2 more answers

The area of a rectangle is 33 ft^2, and the length of the rectangle is 5 ft less than double the width. Find the dimensions of t

dimaraw [331]

Answer:

Length = 6

Width = 5.5

Step-by-step explanation:

Let's use the variable x to represent the width:

x = width

The question says that the length of the rectangle is "5 ft less than double the width". This length can be represented like this:

2x - 5 = length

To find the area of a rectangle, you multiply the width and length, so we are going to write an equation where we multiply the width and length and set it equal to 33 ft^2, which is the area:

(x)(2x - 5) = 33

Now use basic algebra to solve for x:

2x^2 - 5x = 33

2x^2 - 5x - 33 = 0

2x^2 + 6x - 11x - 33 = 0

(2x^2 + 6x) + (-11x - 33) = 0

2x(x + 3) - 11(x + 3) = 0

(2x - 11) (x + 3) = 0

x = 11/2, -3

x either equals 11/2 or -3. However, remember that x represents the width, and you can't have a negative number for a width, so x = 11/2 or 5.5.

Now plug in 5.5 to the length expression and simplify:

2(5.5) - 5

11 - 5 = 6

The length is 6 and the width is 5.5.

Hope this helps (●'◡'●)

7 0

3 years ago