What is the answer to 2x

Peter & Alex share a lottery win of £4450 in the ratio 4 : 1. Peter then shares his part between himself, his wife & the

Dominik [7]

Answer:

His wife gets $1068 more than his son.

Step-by-step explanation:

Peter and Alex:

Peter gets $\frac{4}{4+5} = \frac{4}{5}$ of the total amount.

$\frac{4*4450}{5} = 3560$

Peter gets $3560. He divides with his wife and son.

Peter gets $\frac{1}{1+6+3} = \frac{1}{10}$ of the amount, the wife gets $\frac{6}{1+6+3} = \frac{6}{10}$ and the son gets $\frac{3}{1+6+3} = \frac{3}{10}$

Wife:

$\frac{6*3560}{10} = 2136$

His wife gets $2136

Son:

$\frac{3*3560}{10} = 1068$

How much more does his wife get over their son?

2136 - 1068 = 1068

His wife gets $1068 more than his son.

4 0

4 years ago

A paper airplane is thrown from the roof of a house and travels 7 feet through the air. The paper airplane's flight path makes a

ludmilkaskok [199]

The paper airplane lands 4.04 feet from the house.

4 0

3 years ago

How to turn an improper fraction into a decimal?

Tpy6a [65]

You turn an improper fraction to a decimal by dividing the numerator (number on top) by the denominator (number under).

7 0

3 years ago

What must be true about the coordinates of any point that lies in the third quadrant?

Anon25 [30]

Answer:

(-, -)

Step-by-step explanation:

The x value is negative and the y value is also negative

8 0

3 years ago

Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each

Basile [38]

Answer:

Part 1) The inequality that describes the relationship between the number of cookies each one of them has is $x^{2} -30x+224\geq 0$

Part 2) Jessica has at least 2 cookies more than Martha

Step-by-step explanation:

Part 1) Find the inequality that describes the relationship between the number of cookies each one of them has

Let

x----> the number of cookies when Jessica started

30-x ----> the number of cookies when Martha started

we know that

Each of them ate 6 cookies from their bag

so

The cookies left in each bag are

(x-6) ----> Jessica

and (30-x-6)=(24-x) ---> Martha

The product is equal to (x-6)(24-x)

The product of the number of cookies left in each bag is not more than 80.

so

$(x-6)(24-x)\leq 80\\ \\24x-x^{2}-144+6x\leq 80\\ \\-x^{2} +30x-144-80\leq 0\\ \\-x^{2} +30x-224\leq 0$

Multiply by -1 both sides

$x^{2} -30x+224\geq 0$

Part 2) Solve the quadratic equation

$x^{2} -30x+224\geq 0$

Solve by graphing

The solution is x=16 cookies

so

(30-x)=30-16=14 cookies

therefore

The number of cookies when Jessica started was 16 cookies

The number of cookies when Martha started was 14 cookies

The number of cookies left in each bag is equal to

Jessica

16-6=10 cookies

Martha

14-6=8 cookies

Jessica has at least 2 cookies more than Martha

7 0

3 years ago

Read 2 more answers

What is the answer to 2x - 10 <14?