Answer:
Given,
2 cups of yellow paint is needed for every 3 cups of red paint to make a batch of orange paint,
So, the ratio of yellow paint and red paint in a batch of orange paint = 2 : 3
Make two number lines,
First one represents the multiple of 2 and second one represents the multiples of 3,
By the double number line ( shown below ),
It is clear that,
For 3 batches of orange paint, 6 cups of yellow paint and 9 cups of red paint are needed.
Answer:
3) 5
4) 8.2
5) 6.8
6)FG = 6.4
7) EF = 3.6
8)DF = 4.8
Step-by-step explanation:
From the attached triangle, using trigonometric ratio we can find ∠G as; tan^(-1) (6/8)
Thus, ∠G = 36.87°
Still using trigonometric ratios;
FG/8 = cos 36.87°
FG = 8 cos 36.87°
FG = 6.4
3) EF + FG = EG
Since EG is 10, mean of EF and FG = 10/2 = 5
4) mean of EG and FG = (10 + 6.4)/2 = 8.2
5) EF + FG = EG
Thus; EF = EG - FG
EF = 10 - 6.4
EF = 3.6
Mean of EG and EF = (10 + 3.6)/2 = 6.8
6) FG = 6.4
7) EF = 3.6
8) Using trigonometric ratio;
DF/8 = sin 36.87
DF = 8 × 0.6
DF = 4.8
Answer:
B. 4x + 1
Step-by-step explanation:
4x^2 + 21x + 5
= (4x + 1)(x + 5)
Factors of this trinomial are (4x + 1) and (x + 5)
Answer
(4x + 1)
Answer:
Step-by-step explanation:
A bag contains 4 blue, 5 white, and 6 green balls. ... There are 5 red and 15 black balls in a box, two are picked up at random
