Answer: 1733.33 ≈ 1734 applicants
Step-by-step explanation:
Let x be the number of job applicants being looked at.
If 25% of applicants become job candidates, then number of job candidates = 0.25x
If 20% of job candidates receive job offers, then the number of job offers = 0.20 × 0.25x = 0.05x
If 75% of job offers are accepted, then number of accepted recruits = 0.75 × 0.05x = 0.0375x
This 0.0375x shows the number of new recruits which is equivalent to the 65 that is needed by the client if the recruiter.
By equating this 0.0375x to 65,we have:
0.0375x = 65
x = 65/0.0375
x= 1733.33 applicants, for whole number sake because we're dealing with humans, we approximate to 1734
I believe the answer is near 200-250 adults and about 50-70 children
Answer:
a. (5,5)
b. (-5,-5)
Step-by-step explanation:
reflection over x-axis flips the sign of y-coordinate
reflection over y-axis flips the sign of x-coordinate
Answer:
4
Step-by-step explanation:
The computation is shown below:
Given that
There are total number of students i.e. 48
The ratio at present is 4:1
Now the computer needed to make the ratio be 3:1
So let us assume the number of students be 4x
And, the number of computers be x
So the 4x = 48
x = 12
So the computer be 12
Now the new ratio is 3:1
Students be 3x
And, computers be x
So
3x = 48
x = 16
Now the more computer needed is
= 16 - 12
= 4
hence, this is the answer but the same is not provided in the given options
#1) A
#2) B
#3) C
#5) A
#7) D
#10) D
#11) D
#14) A
#15) D
#16) A
#19) D
Explanation
#1) If the data set is linear, the slope will be constant throughout the entire data set. For data set A, the slope between the first two points is:
m = (y₂-y₁)/(x₂-x₁) = (1--2)/(3-1) = 3/2
Between the second two points,
m=(4-1)/(5-3) = 3/2
Between the third pairs of points,
m=(7-4)/(7-5) = 3/2
The slope is constant throughout the entire set. The set is also increasing; as x increases, y increases as well.
#2) Substituting 4 for y and 1 for x,
y = (x+1)²
4 = (1+1)² = 2²
9 = (1+2)² = 3²
16 = (1+3)² = 4²
This works for each point, so this is the solution.
#3) Since he runs 10 laps per hour t, this is 10t. Adding the first lap to this, we get y=10t+1.
#5) If a sequence is arithmetic, each term is found by adding a constant (called the common difference) to the previous term. If the common difference is 2, this means that 2 was added each time. This only works for choice A.
#7) For x to vary directly as y, this means that y/x = k; in other words, the quotient of y and x is constant for every point.
#10) The formula for slope is:
m=(y₂-y₁)/(x₂-x₁)
Using the information we're given, we have
3=(d-5)/(4-2)
3=(d-5)/2
Multiply both sides by 2:
3*2 = ((d-5)/2)*2
6 = d-5
Add 5 to both sides:
6+5 = d-5+5
11 = d
#11) Using point slope form,
y-y₁ = m(x-x₁)
y-1 = 3(x--2)
y-1 = 3(x+2)
Using the distributive property,
y-1 = 3*x + 3*2
y-1 = 3x + 6
Add 1 to both sides:
y-1+1 = 3x+6+1
y=3x+7
#14) If two lines are parallel, they have the same slope. The slope of the given equation is 4; the only one with a slope of 4 is A.
#15) If two lines are perpendicular, they have slopes that are negative reciprocals (opposite signs and flipped). The slope of the given equation is 2; this means the slope of the perpendicular line would be -1/2. The only one with this slope is D.
#16) The two equations are not the same, so there are not infinitely many solutions. The variables do not both cancel, so there is at least one solution. This only leaves one solution as the answer.
#19) Using 1 for 7 and 4 for x, we check each equation. The only one that comes out correct is D.
