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gtnhenbr [62]
3 years ago
9

In a group of 60 athletes,

Mathematics
2 answers:
Brums [2.3K]3 years ago
6 0
Need more information to answer
valkas [14]3 years ago
4 0

Answer:

basket ball

Step-by-step explanation:

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Plz help with this word problem
s344n2d4d5 [400]
Well, this problem is best solved by setting up a system of two linear equations.

A linear equation can be defined 
y=mx+b
where 
b=initial value (when x=0), and
m=rate of increase or decrease.

In the given example, the x-axis represents hour, and the y-axis, number of cells.

Chemical #1 
initial value = b = 12000 cells
rate = m = -4000 / hr
The equation is therefore 
y1=-4000x+12000......................(1)

Similarly, for chemical #2
initial value = b = 6000 cells
rate = m = -3000 / hr
The equation is therefore
y2=-3000x+6000 .......................(2)

The time the two will have an equal sized colony would represent the solution of the system of equations (1) and (2), i.e. when  y1=y2
which means
-4000x+12000 = -3000x+6000
transpose and solve for x
4000x-3000x = 12000-6000
1000x=6000
x=6 hours.

At 6 hours from the start, 
y=-4000x+12000 = -4000*6+12000 = -24000+12000 = -12000 cells

So the solution is x=6, y=-12000, or (6,-12000)

Physical interpretation
Since cells cannot have a negative number, the two are actually equal before six hours, when they are both zero.
Case 1: y=0 when x=3
Case 2: y=0 when x=2

Therefore, after three hours, both trials will have zero cells.

You have to judge whether to give the mathematical solution (x=6,y=-12000) or the physical interpretation (x=3, y=0) as the answer.


6 0
3 years ago
Read 2 more answers
For the given word problem, identify the rate of change. Gasoline at a particular gas station costs $2.78 per gallon. If Cory bu
zhenek [66]

Answer:

Cory bought 6.47 gallons

rate of change is $2.78 per gallon

Step-by-step explanation:

cost of gas per gallon = $2.78

it means that if one buy 1 gallon he will have to pay $2.78 and similary for each increase in 1 gallon of gallon gas he will have to pay $2.78.

Thus, rate of change is cost of gas per gallon as cost to buy gas changes with the change in quantity of gallon.

Let the quantity of gas bought be x gallon.

Total cost for x gallons = cost of gas per gallon*x = 2.78x

Given that total money paid by him is $18

2.78x = 18

x = 18/2.78 = 6.47

Thus, Cory bought 6.47 gallons

rate of change is $2.78 per gallon

4 0
3 years ago
Does the numerator impact whether a fraction will have a finite or infinite decimal?
Misha Larkins [42]

Answer:DECIDING IF A FRACTION IS A FINITE OR INFINITE REPEATING DECIMAL ... Need a short break? RATIONAL and IRRATIONAL NUMBERS. The rational numbers are numbers that can be written in the form ab a b , ... start by putting the fraction in simplest form;; then, factor the denominator into primes.

Step-by-step explanation:

6 0
3 years ago
Theorem: A line parallel to one side of a triangle divides the other two proportionately.
Kisachek [45]

Answer:

Segment BF = 16

Step-by-step explanation:

The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately

The given theorem is the Triangle Proportionality Theorem

According to the theorem, given that segment DE is parallel to segment BC, we have;

\dfrac{AD}{BD} = \dfrac{AE}{EC}

Therefore;

BD = \dfrac{AD}{\left(\dfrac{AE}{EC} \right) }  = AD \times \dfrac{EC}{AE}

Which gives;

BD = 6 \times \dfrac{18}{12}= 9

Similarly, given that EF is parallel to AB, we get;

\dfrac{AE}{EC} = \dfrac{BF}{FC}

Therefore;

BF = FC \times \dfrac{AE}{EC}

Which gives;

BF = 24 \times \dfrac{12}{18} = 16

Therefore, the statement that can be proved using the given theorem is segment BF = 16.

8 0
3 years ago
10 − 7j + 7 = -10 − 4j<br><br><br> What is j
Elena L [17]
Add the numbers 7 + 10
17 - 7j = -10 - 4j
subtract 17 from both sides
-7j = -27 - 4j
add 4j to both sides
-3j = -27
divide both sides by -3
j = 9
7 0
3 years ago
Read 2 more answers
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