Answer:
Q#1.total number of T-shirts for total cost to be equal=10
Q#2.For the total cost to be the same for both companies, the volleyball team would need to purchase 10 T-shirts from each company
Q#3.total of $105 for each company.
Step-by-step explanation:
Q#1
two functions are given
y=10.5x
y=7.5x+30
where y represents cost and x represents number of shirts
we have to find number of shirts to be purchased from each company keeping cost equal
hence we will write
10.5x=7.5x+30
10.5x-7.5x=30
3x=30
x=30/3
x=10
Number of shirts to be equal cost price is 10
Q#2
two functions are given
y=10.5x
y=7.5x+30
where y represents cost and x represents number of shirts
we have to find number of shirts to be purchased from each company keeping cost equal
hence we will write
10.5x=7.5x+30
10.5x-7.5x=30
3x=30
x=30/3
Number of shirts =x=10
Q#3
total cost=y=?
for y=10.5x
put x=10
y=10.5*10
cost=y=105
and for other function
for y=7.5x+30
put x=10
y=7.5(10)+30
y=75+30=105
Answer: 1/2
Step-by-step explanation:
Let the missing fraction be x
x + 1/16 = 3/2
Make x the subject by subtracting both sides by 1/16
x = 3/2 - 1/16
x= 24 - 16/16
= 8/16; divide through by a common value of 8
x = 1/2
I hope this helps.
Answer:
Midpoint of side EF would be (-.5,4.5)
Step-by-step explanation:
We know that the coordinates of a mid-point C(e,f) of a line segment AB with vertices A(a,b) and B(c,d) is given by:
e=a+c/2,f=b+d/2
Here we have to find the mid-point of side EF.
E(-2,3) i.e. (a,b)=(2,3)
and F(1,6) i.e. (c,d)=(1,6)
Hence, the coordinate of midpoint of EF is:
e=-2+1/2, f=3+6/2
e=-1/2, f=9/2
e=.5, f=4.5
SO, the mid-point would be (-0.5,4.5)
Census
_____________________________________
<em>*100% CORRECT ANSWERS</em>
Question 1
Which type of study best describes the following research most likely to be done?
A researcher is testing out a brand new type of safety suit for fires and is trying to test the maximum threshold of the suit.
Simulation Study
Question 2
Which type of study best describes the following research most likely to be done?
A test is being conducted on a new medicine that is supposed to heal cuts faster. One group is given the actual medicine in a gel type of ointment to apply to the cuts. The second group is given just regular Vaseline that looks like the medicine but has not benefit to put on the cut. The results are then compared.
Experimental Study
Question 3
Which type of study best describes the following research most likely to be done?
A researcher is wanting to research the after effects of plant growth after a nuclear reactor meltdown and decides to study plants within a 50 mile radius of the power plant that had a catastrophic melt down in 2011.
Observational Study
Question 4
Which type of study best describes the following research most likely to be done?
A study is being conducted by an insurance actuary and he wants to determine how often American teen drivers that are on the honor roll get into wrecks.
Sampling
Question 5
Which type of study best describes the following research most likely to be done?
A teacher wants to know how fast all her students for a particular period can complete a multiplication quiz to check their mental math abilities. So, all of her students are tested on a computer and the time of each and every student is recorded.
Census
Answer:
{1}
Step-by-step explanation:
A ∩ B ∩ C means A intersection B intersection C. That means the question is asking for a set of numbers that are in sets A, B, and C.
{1} is the answer since it is the only number that is in all three sets.
