Fractions and whole numbers ordered on the number line are similar because it tells parts throughout the line, like skip counting using adding or subtraction for example.
Whats different from them is because the fractions tell the parts more detailed between the whole numbers, such as 2 3/4 as a fraction on the number line. And 3 as a whole number on the number line.
Answer: 15%
Because 3162.50 divided by 2750 is 1.15
1.15 x 100 is 115%
115-100 = 15% increase
Answer:
92 mph
Step-by-step explanation:
Let the speed of the van travelling south
=
v
mph
The distance travelled by the car travelling north is
d
1
=
10
⋅
2.5
=
25
The distance travelled by the car travelling south is
d
2
=
v
⋅
2.5
=
2.5
v
The distance between the cars after
2.5
h
is
d
1
+
d
2
=
255
25
+
2.5
v
=
255
2.5
v
=
255
−
25
=
230
v
=
230
2.5
=
92
mph
The speed is
=
92
mph
The answer is <span>c. 16x2 + 24xy + 9y2.
Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.
So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²
Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x
b² = 9y²
b² = (3y)²
b = 3y
a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT
d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x
b² = 10y²
b² = (y√10)²
b = y√10
a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT
So, c) is correct answer
Answer:
Step-by-step explanation:
