Answer:
- <u>The number of groups in 3 is 4 groups.</u>
- <u>The number of groups in 5 is 7 groups.</u>
Step-by-step explanation:
Let the number of groups in 3 ⇒ x
Let the number of groups in 5 ⇒ y
There are 11 groups. ⇒ x + y = 11 →(1)
There are 47 people. ⇒ 3x + 5y = 47 →(2)
Solve (1) and (2) to get x and y.
From (1) ⇒ y = 11 - x →(3)
By substitution from (3) at (2) with y
∴ 3x + 5(11-x) = 47
3x + 55 - 5x = 47
-2x = 47 - 55 = -8
∴ x = -8/-2 = 4
∴ y = 11 - x = 11 - 4 = 7
So, the number of groups in 3 is 4 groups.
the number of groups in 5 is 7 groups.
Answer:
D.
Step-by-step explanation:
She cannot buy a negative number of notebooks. She can buy 0 notebooks, or 1 notebook, or 2, or 3, etc. The number of notebooks she buys must be a non-negative integer.
Answer: D.
Answer:
The area of ∆DEF = 4.5in²
Step-by-step explanation:
From the above diagram,
∆BAC ~∆DEF
It is important to note that if two triangles are similar, the ratio of their areas is equal or equivalent to the ratio of the areas of their sides
This means for the above question, that
We have the bigger triangle = ∆BAC has a side of 4 in and Area = 8 in²
The small triangle has a side of 3in
Finding the scale factor k = ratio of the sides of both Triangles
k = 4/3
k² = (4/3)²
k² = 16/9
Hence,
Area of ∆BAC/ Area of ∆DEF = 16/9
8in²/Area of ∆DEF = 16/9
We cross Multiply
8 in² × 9 = Area of ∆DEF × 16
Divide both sides by 16
Area of ∆DEF = 72/16
= 4.5in²
Therefore, the Area of ∆DEF rounded to the nearest tenth = 4.5in²
First and third options are correct
Answer:
49?
Step-by-step explanation:
