Step-by-step explanation:
x²-11x+32=4
x²-11x+28=0
(x-4)(x-7)=0
x=4 or x=7
_______
x²+8x-5=4
x²+8x-9=0
(x+9)(x-1)=0
x=-9 or x=1
_______
x²+x+4=5x+1
x²-4x+3=0
(x-1)(x-3)=0
x=1 or x=3
________
x²+x-24=-8x-2
x²+9x-22=0
(x+11)(x-2)=0
x=-11 or x=2
So here we're dealing with equivalent fractions.
It's really simple to find the answer, so I'll try to explain the best I can.
2 dogs / 5 cats is really just 2/5.
If we want to find an equivalent fraction, we have to multiply the numerator and the denominator by the same number.
Currently the number of cats is 5, and we need it to be 140. What we need to do is find the number it has to be multiplied by to equal 140, which is 140 divided by 5. 140 divided by 5 is 28, so 5 x 28 = 140!
We need to multiply the denominator (5) by 28, so that we can get 140. What we have now is ?/140.
Like I said, to find an equivalent fraction, we need to multiply the numerator by the same number as we did the denominator, which is 28!
2 x 28 = 56.
So 2/5 is the same as 56/140.
The answer is D) 56 Dogs/140 Cats.
Hope this helps!
If you're confused about anything leave me a reply and I'll try to explain the best that I can!
Okay I am going to explain to you and show you how to get the correct answer.
Fist you need to find the Greatest common factor which is 45 because 5×9=45
8/9=40/45
+3/5=27/45
__________
67/45 is reduced to 1 22/45
5 goes into 45 9 times so 3 times 7 equals 27 and 9 goes into 45 5 times so 8 times 5 equals 40 you add both numbers up and get 67. 67 can't go into 45 so you subtract 67 from 45. 45 goes into 67 1 time so that is your whole the number. 22 is left over so that is your numerator. The denominator remains the same.
Answer:
3 over 12
Step-by-step explanation:
3 over 12
Answer:
A) 6
Step-by-step explanation:
The slope is the last part of the equation
Y=Mx+b
B= the slope
M= the constant
