Alfie has a £10 note
He buys 3 pens costing £1.45 each and
some pencils costing 90p each.
If Alfie gets £2.05 change, how many
pencils does he buy?
What is the answer?

Answer:

∠B = 141

Step-by-step explanation:

n - > number of sides

n = 7

Sum of all interior angles = (n -2 ) * 180

                                         = 5 * 180 = 900

∠B + 148 + 90 + 142 +  130 + 129 + 120 = 900

∠B  + 759 = 900

∠B = 900 - 759 = 141

Step-by-step explanation:

2(x＋3)

2x＋6

devide each in 2

2x/2 and 6/2

2 and 2 go out

X=3

Answer:

5390 gallons of water was wasted by the city's residents last year.

Step-by-step explanation:

Let [tex]x[/tex] denotes gallons of water wasted by the city's residents last year.

Gallons of water wasted by the city's residents this year = 2695 gallons

This is 50% less than last year.

Therefore,

[tex]x-\frac{50}{100}x=2695\\\\\frac{50}{100}x=2695\\\\\frac{x}{2} =2695\\\\x=2(2695)[/tex]

[tex]x=5390[/tex] gallons

So, 5390 gallons of water was wasted by the city's residents last year.

Answer:

-42

Step-by-step explanation:

Looking at the numbers I can tell that it's decreasing at a constant rate (as in the rate of change is constant). This means that we're dealing with an arithmatic sequence and the common difference is -5. The equation we want is as follows

a+(n-1)d

Where a is the beginning value

n is the nth germ

d is the common difference

we have

3+(10-1)*-5

3+(9)*-5

3-45

-42

Answer:

(p-q)^2+2pq

= p^2-2pq+q^2+2pq

= p^2+q^2

Step-by-step explanation:

Please mark me the brainliest :-)

Answer:

84

Step-by-step explanation:

96+96+84=276

360-276=84

Answer:

HELL I DON'T EATHIER

Step-by-step explanation:

Answer:

60 in

Step-by-step explanation:

Area = length x width

Area is constant at 1440 in^2

For first rectangle: W1 and L1

For second rectangle: W2 and L2

W1 = 32 in

W2 = W1 - 8 in = 24 in

1440 in^2 = L1 x 32 in = L2 x 24 in

L1 = 45 in

L2 = 60 in

Answer:

She spent $22 on food, and $48 on clothes.

Step-by-step explanation:

Let's define the variables:

C = amount of money that Deborah spent on clothes

F = amount of money that Deborah spent on food.

We know that she spent in total $70, then we have the equation:

F  + C = $70

And we know that she spent $26 more on clothes than on food, then we have the equation:

C = F + $26

This means that we have a system of equations:

F + C = $70

C = F + $26

To solve these type of systems, we usually start by isolating one variable in one of the equations. Here we can see that C is already isolated in the second equation.

Now we can replace it in the first equation.

F + (F + $26) = $70

Now we can solve this for F.

2*F + $26 = $70

2*F = $70 - $26 = $44

F = $44/2 = $22

So she spent $22 on food.

Now we can use the equation:

C = F + $26

To find how much she spent on clothes, where we need to replace F by the value we found.

C = $22 + $26 = $48

She spent $48 on clothes.

Answer:

18%

Step-by-step explanation:

Given data

commission = $378

sales =$2100

Hence the percentage is given as

= 378/2100*100

=0.18*100

= 18%

Hence the percentage commission is 18%

Answer:

11

Step-by-step explanation:

Consider 10's factors: 1, 2, 5, 10, this is more than 2.

11's factors: 1, 11 (!)

Answer:

I think11 js the smallest 2 digit number that only has 2 factors

Answer:      

x2-6=5x

Step-by-step explanation:

Answer:

x = -1/3

Step-by-step explanation:

13x + 5x = -6

=> 18x = -6

=> x = -6/18

=> x = -1/3

Hope it helps :)

please mark my answer as the brainliest

Answer:

y = x + 1

Step-by-step explanation:

You can immediately read off the y-intercept from the graph:  (0, 1).  The slope of this line is negative.  Choosing two different points on this line leads to finding the slope of the line:  (0, 1) and (2, -1)  Going from the first point to the other, we see that x (the run) increases by 2 and y(the rise) decreases by 2.  Thus, the slope is m = rise/run = 2/2 = 1.

The slope-intercept equation of this line is therefore y = x + 1.

Answer:

y=-1x+1

Step-by-step explanation:

To find the slope, we can use rise (vertical) over run (horizontal).

m=rise/run

We can see that from the first point to the second point,  x increased by 2 and y decreased by 2.

The rise is -2 and the run is 2.

m=2/-2=-1.

The slope is -1.

Now let's find the y-intercept (the point where x=0, or where the line crosses the y-axis.)

This point is at (0,1), so b=1.

The y-intercept is 1.

This is the format for slope-intercept form: y=mx+b.

The slope-intercept equation is y=-1x+1.

Answer:

110.979

Step-by-step explanation:

62.7% * 177 = 0.627 * 177 = 110.979

Answer:

πr^2 Cm^2

Step-by-step explanation:

Using the formula we get our answer.

Answer:

the x coordinate is 5

the y coordinate is 4

Step-by-step explanation:

the x coordinate would be wherever the dot is on the horizontal line

the y coordinate would be wherever the dot is on the vertical line

Answer:

Step-by-step explanation:

Change the denominator of the 1/2 to sixths. Multiply the top and bottom by 3 to get 3/6

[tex]\frac{a}{4}-\frac{5}{6}=-\frac{3}{6} \\[/tex]

Add 5/6 to both sides and simplify

[tex]\frac{a}{4} =\frac{1}{3}[/tex]

Multiply both sides by 4 to get

a=4/3

Answer:

the length of the other altitude of the given parallelogram will be 6 units and option B is the correct choice.

The length of the other altitude in the parallelogram will be B. 6 units.

The equation to find the altitude in the parallelogram will be:

Altitude 1 × Vertical base = Altitude 2 × Horizontal base

✓22.5 × ✓40 = Altitude 2 × 5

30 = Altitude 2 × 5

Altitude 2 = 30/5

Altitude = 6

Learn more about parallelogram on:

https://brainly.com/question/970600

#SPJ2

Answer:

Step-by-step explanation:

(4+8)/(2x(6-3)) = 12/(2x(6-3))  = 12/6x = 2/x

Answer:

2x

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

TR=[tex]\sqrt{60^{2} -48^{2} }[/tex]

TR=36

36/60=AR/36

AR=21.6

TA=[tex]\sqrt{36^{2} -21.6^{2} }[/tex]

TA=28.8

Answer:

x = 13

Step-by-step explanation:

1. We can tell if the radical is in its simplest form if the square root term is a number that cannot be broken down to give a perfect square factor

what we are saying in this case is that if the number that is under the square root sign is one in which cannot be broken down to give a perfect square or that a perfect square is not its factor. Then it is in the simplest form

2. 512 = 2^(x-4)

512 = 2^9

2^9 = 2^(x-4)

since base is equal, we equate the powers

9 = x - 4

x = 9 + 4

x = 13

Answer:

C. Every year the number of subscribers is estimated to increase by 8% over the

number of subscribers the year before.

Step-by-step explanation:

Using the formula :

S = 20,000 (1 + 0.08)^y to estimate ;

S = number of subscribers ; y = years

The expression : (1 + 0.08)^y

0.08 = 0.08 * 100% = 8%

(1 + 0.08)^y represents a continous growth or increase in the number of subcsribers by 8% over the number of subscribers the preceeding year

Answer:

Step-by-step explanation:

a- impossible to say(c)

b- true(a)

c- true(a)

Step-by-step explanation:

I get it a little so i think c is true B.is false and A. is impossible to say