The ratio is 5:3
As the information tells us, for every 5 cups of water, there are 3 cups of rice. So no matter what, the ratio will always be 5:3.
Answer: a) x = 2 and -4 b) p = 4.12 and -2.4
Step-by-step explanation:
a) Using the completing the square me those to solve x²+2x = 8
firstly, we divide the equation by the coefficient of x² to give
x²+2x=8
Secondly, we need to get the constant of the equation x²+2x by adding the value gotten from dividing coefficient of x by 2 and squaring it i.e(2/2)² to give 1 as the constant
The equation becomes
x²+2x+1-1= 8
Note that 1 was subtracted just to ensure the question isn't altered
(x²+2x+1)-1 = 8
(x+1)(x+1)-1= 8
(x+1)(x+1)= 8+1
(x+1)² = 9
Squaring both sides of the equation
√(x+1)² = +/-√9
x+1 = +/-3
x = +3-1 = 2
x = -3-1 = -4
therefore x = 2 and -4
b) Using the same funny concept to solve the equation
7p² − 12p + 4 = 0
7p²-12p = -4
Dividing by coefficient of p²
p²-12/7p= -4/7
Completing the equation at the right hand side i.e p²-12/7p
We will add the square of half of the coefficient of p to both sides of the given equation (-12/7×1/2)² = (-12/14)²
= 144/196
p²-12/7p+144/196 = -4+144/196
(p-12/14)² = 640/196
Squaring both sides
√(p-12/14)² = +/-√640/196
p-12/14 = +/-3.26
p = +3.26+12/14 = 4.12
and p = -3.26+12/14 = -2.4
Answer:
x<-9
Step-by-step explanation:
x−1<−10
Add 1 to both sides.
x<−10+1
Add −10 and 1 to get −9.
x<−9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hoped this helped :)
Answer:
-11 + 73
62°
Step-by-step explanation:
Morning temperature = - 11
Afternoon temperature = morning temperature + 73°
We obtain the temperature in the afternoon by adding the 73° increase in temperature temperature the morning temperature ;
Hence, temperature in the afternoon will be :
-11° + 73° = 62°
Hence, after oon temperature will be 62°
Vertical angles:
Vertical Angles are the angles opposite each other when two lines cross.
https://www.mathsisfun.com/geometry/vertical-angles.html
The link has a visual of vertical angles.
Adjacent Angles:
Adjacent angles are two angles that share a common vertex point and a common side. They basically sit right next to each other.
https://www.mathsisfun.com/geometry/adjacent-angles.html
The link has a visual of adjacent angles.
Complementary Angles:
Two angles whose measures add to 90º.
Basically, together they make a right angle.
Supplementary Angles:
Two angles whose measures add to 180º.
Basically, together they form a straight line.