Pencils cost 25p each. Mr smith spends £15 on pencils. Work out the number of pencils he gets.

20 POINTS!! Order these numbers from LEAST to GREATEST.

leva [86]

Answer:

A

Step-by-step explanation:

multiply 5/3 by 2 you should get 10/6 and then you simplify it out the fraction is 1 and 4/6

12/6 is 2

and you do not need to do anything with 1

7 0

3 years ago

What is the distance between (−11,−20) and (−11,5) ?

swat32

Answer:

the answer is option D. 25 units. I hope that you'd understand

7 0

2 years ago

HELPPP<br> Please help it’s due soon and I have no idea

Vinvika [58]

From the two triangle, we can see that triangle ADE is a dilation of triangle ABC by a scale factor of 2.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

From the diagram:

AB = 3 units, AC = 4 units. Using Pythagoras theorem:

BC² = 3² + 4²

BC = 5 units

AE = 6 units, AD = 8 units. Using Pythagoras theorem:

DE² = 6² + 8²

DE = 10 units

From the two triangle, we can see that triangle ADE is a dilation of triangle ABC by a scale factor of 2.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

5 0

1 year ago

Two boats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads

Maksim231197 [3]

Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

$Distance = Speed \times Time$

$Distance\ OA = 10 \times 2.5 = 25\ km$

$Distance\ OB = 16 \times 2.5 = 40\ km$

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled $\triangle AOB$ .

According to Pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km$

The speed at which distance is increasing between the two boats is given as:

$\dfrac{47.17}{2.5} \approx 18.87\ km/hr$

4 0

2 years ago

If $15,000 is invested at an interest rate of 2% per year, compounded semiannually, find the value of the investment after the g

Gennadij [26K]

Answer:

Step-by-step explanation:

If $10,000 is invested at an interest rate of 2% per year, compounded semiannually, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)

a)6 years

b)12 years

c)18 years

***

compound interest formula: A=P(1+r/n)^nt, P=initial investment, r=interest rate, n=number of compounding periods per year, A=amt after t-years.

For given problem:

P=10000

r=.02

n=2

t=6, 12, 18

..

A(6)=10000(1+.02/2)^2*6

A(6)=10000(1.01)^12=11,268.25

A(12)=10000(1.01)^24=12,697.35

A(18)=10000(1.01)^36=14,307.69

3 0

2 years ago