Answer:
225
Step-by-step explanation:
We're told that each carton holds two dozen eggs, or 24 eggs. To find out how many cartons the farm will need, we divide the total amount of eggs by the amount of eggs that fit in each carton. So:
Since the number is a decimal, you need to round up to make sure every egg is in a carton. So, your answer is 225.
Answer:
Option(B) is correct.
ΔHMG ≅ ΔKMJ ( by AA similarity criteria )
Step-by-step explanation:
Vertically opposite angle are two opposite angle formed when two lines cross each other.
Consider the two triangles ΔHMG and ΔJMK
∠MHG = ∠JKM = 47° (given)
also, ∠JMK = ∠HMG (vertically opposite angles)
Thus, ΔHMG ≅ ΔKMJ ( by AA similarity criteria )
AA similarity - if two angles of a triangles are equal to two triangle of another triangle then the two triangles are said to be similar.
Also note that if two angles of a triangle are equal then it is necessary that third angle is also equal.
Hence, Option(B) is correct.
Answer:
x = 15
Step-by-step explanation:
1. Combine like terms
2x - 3x = -x
2. Rewrite original equation
-x + 4 = -11
3. Subtract four from both sides of the equation.
-x + 4 = -11
- 4 - 4
-x = - 15
4. Divide by -1 on both sides to get rid of the negative signs:
x = 15
1. x - 4
x - 6|x² - 10x + 24
- (x² - 6x)
-4x + 24
- (4x + 24)
0
The answer is C.
2. A. 9x² + 12x - 3
3(x²) + 3(4x) - 3(1)
3(x² + 4x - 1)
B. 9x² + 3x - 5
Not Factored
C. 6x² + 10x - 4
2(3x²) + 2(5x) - 2(2)
2(3x² + 5x - 2)
2(3x² + 6x - x - 2)
2(3x(x) + 3x(2) - 1(x) - 1(2))
2(3x(x + 2) - 1(x + 2))
2(3x - 1)(x + 2)
D. 6x² + 7x - 6
Not Factored
The answer is C.
3. 3x³ - 4x² + 3x - 6
x + 2|3x⁴ + 2x³ - 5x² + 0x - 4
- (3x⁴ + 6x³)
-4x³ - 5x²
- (-4x³ - 8x²)
3x² + 0x
- (3x² + 6x)
-6x - 4
- (-6x - 12)
8
The answer is A.
34 questions right
Turn 85% into a decimal so .85 then multiply by 40 to get 34