7 Days She Have earned over 500
6 days won't be enough since by then she still haven't reached 500
Step-by-step explanation:
given that
p= "I do my chores"
q= "I get my allowance."
The statement that uses p as hypothesis is, if "I do my chores", which leads to the conclusion of "I get my allowance."
hence the test/ hypothesis is if "I do my chores", i get my allowance
Answer:
Adults=8
Childrens=2
Seniors=2
Step-by-step explanation:
Children $4
Adults $6
Seniors $5
There are an equal number of seniors and children.
The entire group spent a total of $66.
If 11 adults attended, the total amount will be $66 and the number of senior and childrens will be the same, 0. But this is not possible because the statement says that childrens and seniors are part of the group.
If we add the charges of childrens and seniors is equal to $9.
Assuming that the group has 2 childrens and 2 seniors the add is equal to:
Now we substract the result from the total amount:
48 is multiple of 6, this means we have in the group 8 adults, 2 childrens and 2 seniors.
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.
What changes may occur if the given dollar will be rounded off to its nearest value.
<span>There will only be 2 chances, the dollar will become smaller or bigger. Why? </span>
Because in mathematical rules of rounding off numbers:
number below 5 will be round down and 5 and up will be rounded up.
For example:
You have a bill of $6.79 since the number next to the decimal point in the right is 7, it will be rounded up to $7.
<span>But if your bill is $6.25, it will be rounded down to $6.00
</span>
I got this from a different brainy member
