Write
45%
as a fraction in simplest form.

Answers

Answer 1
Answer: 9/20 because you would get it as a decimal first and it would be .45 then put 100 at the end and then reduce and you end up with 9/20 
Answer 2
Answer: As a fraction it would be 45/100 and in simplest form it is 9/20

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The area of a sector of the circle with an arc measure of 45 degree and with a radius of 4 is?

Answers

π * 4^2 * 45 / 360 = 16π / 8 = 2π.

15% of what number equals 12?

Answers

percent means parts out of 100
15%=15/100=0.15
'of' means multiply

therefor
15% of x equals 12 means
0.15 times x=12
divide both sides by 0.15
x=80



the number is 80

transform the quadratic function y=-2x^2-12x-10 into vertex form. find the vertex, x and y intercepts.

Answers

The\ vertex\ form\ of\ y=ax^2+bx+c:y=a(x-h)^2+k\n\nwhere\ h=(-b)/(2a)\ and\ k=f(h)=(-(b^2-4ac))/(4a)\n-----------------------------\n\ny=-2x^2-12x-10\n\na=-2;\ b=-12;\ c=-10\n\nh=(-(-12))/(2(-2))=(12)/(-4)=-3\n\nk=f(-3)=-2(-3)^2-12(-3)-10=-2\cdot9+36-10=-18+26=8\n\ntherefore:y=-2(x-(-3))^2+8\to\boxed{y=-2(x+3)^2+8}\leftarrow The\ vertex\ form


y-intercept\to f(0)=-2(0^2)-12(0)-10=\boxed{-10}\leftarrow y-intercept


x-intercept\ if\ y=0\n\n-2x^2-12x-10=0\ \ \ \ \ |divide\ both\ sides\ by\ (-2)\nx^2+6x+5=0\nx^2+x+5x+5=0\nx(x+1)+5(x+1)=0\n(x+1)(x+5)=0\iff x+1=0\ or\ x+5=0\n\n\boxed{x=-1\ or\ x=-5}\leftarrow x-intercept
y=-2x^2-12x-10
to find the x value of the vertex find the axis of symmetry which is
-b/2a
=12/2(-2)
=-3
to find the y value of the vertex sub the axis of symmetry back into the original equation. 
y=-2(-3)^2-12(-3)-10
y=8
vertex=(-3,8)
to put it into vertex form use y=a(x-h)^2 +k where h and k are the x and y values of the vertex respectively. 

y=-2(x--3)^2 +8
y=-2(x+3)^2+8

to find the x intercept let y=0

-2x^2-12x-10=0
x^2+6x+5=0 
use quad formula and you will get 
x=-5 and -1

to find the y intercept let x=0

y= -2(0)^2-12(0)-10
y=-10







would you choose to use a hundred chart to solve 90- 80? why or why. not ? if not. which strategy would work better?

Answers

It is not necessary to use a hundred chart to solve 90 - 80, the strategies are counting up and number bonds.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

To solve 90-80

Now,

Counting up: Starting from 80, count how many numbers you need to add to get to 90. This can be done by counting by ones or by using skip counting, such as counting by tens and then adjusting for the remaining ones. For example, counting by tens would give 80, 90, so the answer is 2.

Using number bonds: Recognize that 90 is a "friendly" number that can be decomposed into 80 and 10. Then, subtract 80 from 80 to get 0, and subtract 10 from 10 to get 0, so the answer is 0 - 0 = 0.

Using mental math: Recognize that 90 - 80 is the same as 9 - 8, which is 1. This can be done by subtracting the ones digits first, and then the tens digits if necessary.

In summary, while a hundred chart can be a useful tool for some math problems, it may not be the most efficient or necessary strategy for solving 90 - 80.

Therefore, by algebra the answer will be counting up and number bonds.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ3

i would use a tens chart because both numbers are multiples of 10, and there both under 100, so it would work out better if u use a tens chart, since the numbers are in the tens place and would give u a product of 10.

i hope this helps u 

What is 20% off of £1.85? ^_^

Answers

p\%=(p)/(100)\n\n20\%=(20)/(100)=0.2\n\n20\%\ of\ \£1.85\ is\ 0.2\ *\ \£1.85=\£0.37
 £1.85 ________ 100 %
       x ________ 20 %

100x = 20 . 1,85
100x = 37
x = 37 / 100
x = 0,37

is 
 £0,37 ! 

Some equations have the form y=kx, where k is a number. Which equation CANNOT be written in the form y=kx?

Answers

Hello from MrBillDoesMath!

Answer:

y = x - 7

Discussion:

Let's step through the answers one-by-one:

y/6 = x             => multiply both sides by 6

y = 6x

y = kx where k = 6

y/x = 1/2          => multiply both sides by x

y = (1/2) x

y = kx where k = 1/2

y = -0.5x

y = kx where k = -0.5

BUT y = x -7 cannot be written simply as y = kx because of the -7 term.

Thank you,

MrB

Answer:

C. y = x - 7

Step-by-step explanation: