Set up a proportion
75/100= 9 baskets/ x attempts
The ratio of numerator to denominator should be 75/100 which simplifies to 3/4. 3/4= 9/x
3*3=9, 4*3=12
x=12
Final answer: 12 attempts
(1) C and (2) D
(1)
distribute the left side of the equation
2h - 16 - h = h - 16 ( simplify left side )
h - 16 = h - 16
Since both sides are equal, any value of h will make the equation true.
Hence there are infinitely many solutions to the equation → C
(2)
3 + 6z = 13 + 6z ( subtract 6z from both sides )
3 = 13 ← not possible
Hence there are no solutions to the equation → D
1) gradient of line = Δ y ÷ Δ x
= (5 -2) ÷ (3 - (-6))
= ¹/₃
using the point-slope form (y-y₁) = m(x-x₁)
using (3,5)
(y - 5) = ¹/₃ (x -3)
y - 5 = ¹/₃x - 1
⇒ <span> y = ¹/₃ x + 4 [OPTION D]
</span>2) y = 2x + 5 .... (1)
<span> </span>y = ¹/₂ x + 6 .... (2)
by substituting y in (1) for y in (2)
2x + 5 = ¹/₂ x + 6
³/₂ x = 1
x = ²/₃
by substituting found x (2)
y = ¹/₂ (²/₃) + 6
y = ¹⁹/₃
∴ common point is (²/₃ , ¹⁹/₃) thus answer is FALSE [OPTION B]
3) Yes [OPTION A]
This is because the both have a gradient of 5 and if they have the same gradient then that means that the two lines are parallel to each other.
4) No [OPTION B]
Two lines are perpendicular if their gradients multiply to give - 1 and as such one is the negative reciprocal of the other. Since both gradients are ¹/₂ then they are actually parallel and not perpendicular.
X - 1 < = 9 or 2x > = 24
x < = 9 + 1 x > = 24/2
x < = 10 x > = 12
closed circle on 10, shaded to the left
closed circle on 12, shaded to the right
________10_______12__________
<====X X======>
the X represents closed circles
<span>In the given mathematical value of 5,000 to round off this number to the nearest hundred, we can elaborate the number values using the expanded form to clearly see the order position: </span><span><span>1. </span> 5,000 = thousands
</span><span>Now we can observe the numerical value of 4,900 as the rounding number which becomes
4900 = 5000
4800 = 5000
4700 = 5000
4600 = 5000
4500 = 5000
</span><span />
