Answer:
Let Lance represented by L and Nick represented by N
As per the statement:
Lance has three times as many pencils as Nick
⇒
.....[1]
It is also given that:
They have 84 pencils together.
⇒
.....[2]
Substitute the equation [1] into [2] we have;

⇒
Divide both sides by 4 we have;
N = 21
Substitute this in [1] we have;
L = 3(21) = 63
Therefore, Lance has 63 pencils and Nick has 21 pencils
Answer:
A is the correct option
Anna will expect to pay $6.05
Explanation:
Given that Anna is expected to pay $5.26 plus additional 15% of $5.26 on tax, the amount she pays in total is:
$5.26 + (15% of $5.26)
= $5.26 + (0.15)($5.26)
= $5.26 + $0.789
= $6.049
This is approximately $6.05
Answer:
x =
and x = 
Step-by-step explanation:
Let's use the quadratic formula, which states that for a quadratic of the form ax² + bc + c, the zeroes are:
or
.
Here, a = 6, b = -24, and c = 1. Plug these in:


AND


Thus, the zeroes are: x =
and x =
.
<u>Answer-</u>
- YZ = 9 cm

- XZ is the longest segment in triangle XYZ.
<u>Solution-</u>
Triangle XYZ is a right angle triangle with ∠Y=90°
Triangle XYZ is also an isosceles triangle, as
∠X =45°= ∠Z
Therefore, triangle XYZ is a right angle isosceles triangle.
So,
XY = YZ = 9 cm
Applying Pythagoras theorem,

In a right angle triangle, always the hypotenuse is the largest. So XZ is the longest segment in triangle XYZ.