The exchange rate between the American dollar ($) and the British pound (£) was $1.60= £1.
(a) Denise changed £400 into dollars. How many dollars did she receive?
(b) To change the money, the bank charged a fixed amount of £3 plus 2% of the number of pounds changed. Calculate the amount the bank charged Denise to change her £400.

Answer:

feed them to the lions

Step-by-step explanation:

rawr

Answer:It should be -46 if im right dont hate if im worng.

Step-by-step explanation:

answer is 10

if not then im srry

Answer:

[tex]1. x=27\\2. x=30[/tex]

Step-by-step explanation:

[tex]1.\ We\ are\ given\ that,\\Point\ W\ belongs\ to\ line\ VX\ or\ Point\ W\ lies\ in\ the\ line\ VX.\\Point\ Y\ belongs\ to\ line\ XZ\ or\ Point\ Y\ lies\ in\ the\ line\ XZ.\\\angle WXY=90\\Now\ let's\ consider\ \triangle XYW.\\We\ observe\ that,\\\angle XWY\ and\ \angle VWY\ form\ a\ linear\ pair\ and\ hence\ are\ supplementary.\\Hence,\\\angle XWY\ + \angle VWY\ =180\\\angle XWY=180- \angle VWY\\Substituting\ \angle VWY=6x\ in\ the\ equation\ (\angle XWY=180- \angle VWY),\\[/tex][tex]\angle XWY=180-6x\\Now\ \ \angle XWY\ and\ \angle WXY\ are\ interior\ angles\ opposite\ to\ \angle WYZ.\\\\Hence,\ from\ the\ 'Exterior\ Angle\ Property',\ we\ know\ that,\ the\\ measure of\ the\ \exterior\ angle\ is\ equal\ to\ the\ sum\ of\ the\ interior\ opposite\\ angles.\\Hence,\\\angle XWY + \angle WXY= \angle WYX\\Substituting\ \angle XWY=(180-6x),\ \angle WXY=90,\ \angle WYX=4x,\\(180-6x)+90=4x\\-6x-4x=-90-180 \\-10x=-270\\x=\frac{-270}{-10}\\x=27[/tex]

[tex]2. We\ are\ given\ that,\\Point\ N\ belongs\ to\ the\ line\ KO\ or\ Point\ N\ lies\ on\ the\ line\ KO.\\\angle LNM=45, \angle ONM=105, \angle NLM=90\\Hence,\\As\ we\ observe\ that,\\\angle LNM,\angle ONM\ and\ \angle KNL\ lie\ on\ the\ line\ KO\ and\ are\ hence,\\ supplementary.\\Hence,\\\angle LNM + \angle ONM\ + \angle KNL =180\\Substituting\ \angle LNM=45, \angle ONM=105,\\45+105+ \angle KNL=180\\150+ \angle KNL=180\\\angle KNL=180-150\\\angle KNL=30[/tex]

[tex]Hence\ by\ considering\ \triangle NML,\\\angle LNM + \angle NLM + \angle NML=180\ [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence\ by\ substituting\ \angle LNM=45, \angle NLM=90,\\45+90+\angle NML=180\\135+\angle NML=180\\\angle NML=180-135\\\angle NML=45\\Now,\ as\ we\ observe\ that\ \angle KNM= \angle KNL+ \angle LNM\\Hence\ by\ substituting\ \angle KNL=30, \angle LNM=45,\\\angle KNM=30+45\\\angle\ KNM=75\\[/tex]

[tex]Now,\ consider\ \triangle\ KNM,\\\angle NKM+ \angle KNM + \angle NMK=180 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence\ substituting\ \angle NKM=45, \angle KNM=75 , \angle NMK=2x,\\45+ 75 + 2x=180\\120+2x=180\\2x=180-120\\2x=60\\x=\frac{60}{2}\\x=30[/tex]

Answer:

3

Step-by-step explanation:

12/4=3

Answer:

4/3 cups or 1 1/3 cups

Step-by-step explanation:

4 cups                x cups

----------------- = --------------

12 people           4 people

Using cross products

4 * 4 = 12x

16 = 12x

Divide each side by 12

16/12 = x

4/3 = x

1 1/3 cups

Answer:

Lily read 53 books

Step-by-step explanation:

78-25=53

Hope this helps!       :3

Plz mark as brainliest!

The average rate of change of f(x) on -3 ≤ x ≤ 3 is given to be

(f (3) - f (-3)) / (3 - (-3)) = -2.5

If f (-3) = 14, then

(f (3) - 14) / (3 + 3) = -2.5

(f (3) - 14) / 6 = -2.5

f (3) - 14 = -15

f (3) = -1

Answer:

x= 1/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

9. 31 + 5 = 36

10. 16 - 4 = 12

11. 28 - 1 = 27

12. 9

13. 34 + 44 = 78

14. 101 - 1 = 100

Answer:Feudalism helped protect communities from the violence and warfare that broke out after the fall of Rome and the collapse of strong central government in Western Europe. Feudalism secured Western Europe's society and kept out powerful invaders. Feudalism helped restore trade. Lords repaired bridges and roads.

Step-by-step explanation:

Answer:

8,20,24

Step-by-step explanation:

these numbers they make 52

Given:

Focus of a parabola is (0, -12) and directrix is y = 12.

To find:

The equation of the parabola.

Solution:

General form of a parabola is

[tex](x-h)^2=4p(y-k)[/tex]       ...(i)

where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

Focus is (0, -12).

[tex](h,k+p)=(0,-12)[/tex]

[tex]h=0[/tex]

[tex]k+p=-12[/tex]         ...(ii)

Directrix is y = 12.

[tex]k-p=12[/tex]      ...(iii)

Adding (ii) and (iii), we get

[tex]2k=0[/tex]

[tex]k=0[/tex]

Putting k=0 in (ii), we get

[tex]0+p=-12[/tex]

[tex]p=-12[/tex]

Putting h=0, k=0 and p=-12 in (i).

[tex](x-0)^2=4(-12)(y-0)[/tex]

[tex]x^2=-48y[/tex]

[tex]-\dfrac{1}{48}x^2=y[/tex]

Therefore, the required equation of parabola is [tex]y=-\dfrac{1}{48}x^2[/tex].

Answer: x = 3

Step-by-step explanation:

Simplifying

10x + -4 = 6x + 8

Reorder the terms:

-4 + 10x = 6x + 8

Reorder the terms:

-4 + 10x = 8 + 6x

Solving

-4 + 10x = 8 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

-4 + 10x + -6x = 8 + 6x + -6x

Combine like terms: 10x + -6x = 4x

-4 + 4x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0

-4 + 4x = 8 + 0

-4 + 4x = 8

Add '4' to each side of the equation.

-4 + 4 + 4x = 8 + 4

Combine like terms: -4 + 4 = 0

0 + 4x = 8 + 4

4x = 8 + 4

Combine like terms: 8 + 4 = 12

4x = 12

Divide each side by '4'.

x = 3

Simplifying

x = 3

Add

to both sides of the equation

Simplify

Add

to both sides of the equation

Simplify

6

Divide both sides of the equation by the same term

Answer:

32 students were present.

Step-by-step explanation:

To find out how many students were present in class 8, we have to find out how many students were absent first.

As the question has already provided us, the number of students who are absent would be [tex]40 \cdot 20\%[/tex], which equals to [tex]40 \cdot \frac{20}{100}[/tex] which is 8 students in total who were absent in class 8.

Now that we have found out how many students were absent, simply subtract the number of students who were absent from the total number of students in class 8, which is (40 - 8) = 32 students, and you have the number of students that were present: 32.

Hope this helped!

Answer:

0.1

Step-by-step explanation:

divide the length value by 1000

Answer:

opposite of love is hate

hope this answer will help you

Answer:

Hate is opposite of love

Answer:

43.2

Step-by-step explanation:

so you would multiply 36 by .20 or .2 and you would get a answer so you add it to your original amount

Answer:

[tex]\boxed{x = 2+2\sqrt{6} ~~or~~x = 2 - 2 \sqrt{6} }[/tex]

.

Step-by-step explanation:

To find x, use pythagoras form

[tex]c^2 = a^2 + b^2[/tex]

[tex](x + 4)^2 = x^2 + (x + 1)^2[/tex]

[tex]x^2 + 8x + 16 = x^2 + x^2 + 2x + 1[/tex]

[tex]2x^2 + 2x + 1 - x^2 - 8x - 16 = 0[/tex]

[tex]x^2 - 6x - 15 = 0[/tex]

[tex]x^2 - 6x = 15[/tex]

[tex](x - 3)^2 - 9 = 15[/tex]

[tex](x - 3)^2 = 15 + 9[/tex]

[tex](x - 3)^2 = 24[/tex]

[tex]x - 2 = \pm \sqrt{24}[/tex]

[tex]x = 2 \pm 2\sqrt{6}[/tex]

.

[tex]x_1 = 2 + 2\sqrt{6}[/tex]

[tex]x_2 = 2 - 2\sqrt{6}[/tex]

.

Happy to help :)

Answer:

D. 4x + 4y

Step-by-step explanation:

2x + 2x = 4x

3y + y = 4y

So, 4x + 4y is the answer!

Answer:

b,0,1

Step-by-step explanation:

Answer:

5 gallons

Step-by-step explanation:

Answer:

need a thanks

Step-by-step explanation:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A = 1 2 b h is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

The total surface area of the triangular prism is 240 m².

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The total surface area of a triangular prism.

= Perimeter x length + base x height

= (6 + 6 + 8) x 10 + 8 x 5

= 20 x 10 + 40

= 200 + 40

= 240 m²

Thus,

The total surface area is 240 m².

Learn more about prism here:

https://brainly.com/question/12649592

#SPJ2

Answer:

math way

Step-by-step explanation: