All categories

3 years ago

Two friends share £150 in the ratio 4:11 (a) How much does each friend receive?

Mathematics

1 answer:

aliya0001 [1]3 years ago

5 0

Step-by-step explanation:

Total ratio=4+11

=15

1st friend's share

= 4/15 x 150

=4 x 10

=£40

2nd friend's share

=11/15 x 150

=11 x 10

=£110

You might be interested in

Solve the following system by any method -8x-8y=0 -8x+2y=-20

iVinArrow [24]

$\fbox{Solution by using Matrix}$

$\text{Linear Equation} = -8x-8y=0 , -8x+2y=-20$

$\text{Rewrite the linear equations above as a matrix}$

$\left[\begin{array}{ccc}8&-8&0\\-8&2&-20\\\end{array}\right]$

$\text{Apply to Row2 : Row2 + Row1}$

$\left[\begin{array}{ccc}8&-8&0\\-8&-6&-20\\\end{array}\right]$

$\text{ Simplify rows}$

$\left[\begin{array}{ccc}8&-8&0\\0&1&10/3\\\end{array}\right]$

$\text{Note: The matrix is now in echelon form.}$ $\text{The steps below are for back substitution.}$

$\text{Apply to Row1 : Row1 + 8 Row2}$

$\left[\begin{array}{ccc}8&0&80/30\\0&1&10/3\\\end{array}\right]$

$\text{ Simplify rows}$

$\left[\begin{array}{ccc}1&0&10/3\\0&1&10/3\\\end{array}\right]$

$\text{Therefore, the solution is}$

$x= \dfrac{10}{3} \ \text{and} \ \ y=\dfrac{10}{3}$

7 0

3 years ago

A potato sorting machine produces 5 pounds of potatoes an average for the standard aviation is a half a pound assuming the weigh

mixas84 [53]

For a 95% confidence interval, the corresponding z-score is 1.96. Therefore the deviation will by 1.96*0.5 lbs = 0.98 lbs. Therefore, the confidence interval will be (5 - 0.98, 5 + 0.98), which is (4.02, 5.98). The weight range is from 4.02 lbs to 5.98 lbs.

5 0

3 years ago

a shoreline is changing -3 centimeters each year due to erosion. what is the change in shoreline over 6 years?

NikAS [45]

Answer:

-18

Step-by-step explanation:

3 0

3 years ago

Sam and Amelia make bean bags for a tossing game. Amelia makes a line plot to show the weight, in pounds, of the bean bags.

frosja888 [35]

Answer:

amelia

Step-by-step explanation.

Amelia is correct because she has the heviest bag

4 0

2 years ago

What is the obtuse angle formed by hand of a clock at 9:10

zubka84 [21]

Answer:

it would be 60 degrees

Step-by-step explanation: Every 5 minutes on a clock there is a big number, and there are 12 of those. 360/12 is 30 degrees, so every hour, the hour hand moves 30 degrees.

4 0

2 years ago