Kathleen must get 300 signatures to make sure she will have enough valid signatures for the crosswalk
<em><u>Solution:</u></em>
Given that Kathleen needs 240 valid signatures on a petition to get a crosswalk installed on her street
She knows that about 20% of the signatures will not be valid for a variety of reasons
Let "x" be the number of signatures
invalid signature = 20 % of x
valid signatures = 240
Then, according to question,
total number of signatures - invalid signatures = 240
x - 20 % of x = 240
Therefore, she must get 300 signatures so that she will have enough valid signatures for the crosswalk
Answer:
Therefore Josiah must sell 68 or 69 or 70 tacos in order to meet the requirement.
Step-by-step explanation:
Given , Josiah owns a food truck that sells tacos and burritos.
He sells each burritos for $7.50. If 79 burritos were sold.
Then the price of 79 burritos is $(7.50×79) =$592.50
Let x tacos were sold.
He sells each tacos for $5.
Then the price of x tacos is = $(x × 5)=$5x
Also given that Josiah must sell a minimum of $930 worth of tacos and burritos.
Therefore,
5x+592.50≥ 930
⇔5x≥930-592.50
⇔5x≥337.5
⇔x≥67.5
But he only has enough supplies to make 149 tacos or burrito.
He already sold 79 burrito.
So, remain space for tacos is = (149-79) = 70
So,67.5≤x≤70
∴x = 68 or 69 or 70
Therefore Josiah must sell 68 or 69 or 70 tacos in order to meet the requirement.
Answer:
The coordinates of the mid-point of JL are (-5 , 2)
Step-by-step explanation:
If point (x , y) is the mid-point of a segment whose end-points are 
and 
, then 
and 
∵ JL is a segment
∵ The coordinates of J are (-6 , 1)
∴ 
= -6 and 
= 1
∵ The coordinates of L are (-4 , 3)
∴ 
= -4 and 
= 3
Lets use the rule above to find the mid-point of JL
∵ 
∴ x = -5
∴ The x-coordinate of the mid-point is -5
∵ 
∴ y = 2
∴ The y-coordinate of the mid-point is 2
∴ The coordinates of the mid-point of JL are (-5 , 2)
Answer:
That would be sina.
Step-by-step explanation:
sin(a+b) = sinacosb + cosasinb
sin(a-b) = sinacosb - cosasinb
Adding we get sin(a+b) + sin(a-b) = 2sinaccosb
so sinacosb = 1/2sin(a+b) + sin(a-b)
Cannot see your image, but the formula for the volume of a sphere is
V=(4/3)πr³
to solve for r: r³=v÷(4/3)π=v*3/(4π)=3v/(4π) (three v out of 4 pi)
r=∛(3v/4π)
r equals the cubic root of (three v over 4π)
