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ollegr [7]
3 years ago
6

Can you write a equation with the information please

Mathematics
1 answer:
Kipish [7]3 years ago
6 0

Answer:

G(t) = 15 - 1.25t

Step-by-step explanation:

Mason drove 4 hours spending 1.25 gallons per hour. In those 4 hours,

4 * 1.25 = 5,

5 gallons were used.

After driving 4 hours and using 5 gallons of gas, there were 10 gallons left.

Before the 4 hours of driving, the car had

10 gallons + 5 gallons = 15 gallons.

The full tanks is 15 gallons.

For each hour driven, the gas in the tank goes down by 1.25 gallons.

For t hours of driving, you must subtract 1.25t gallons from the 15 gallons of the full tank.

The equation is:

G(t) = 15 - 1.25t

Answer: G(t) = 15 - 1.25t

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An executive committee consists of 15 members: 7 men & 8 women. 5 members are selected at random to attend a meeting in Hawa
asambeis [7]

Answer:

1.8%

Step-by-step explanation:

(8c5 * 7c0)/15c5

= 0.018

This is the answer which I get when I solve this... cross check the calculations once.

3 0
3 years ago
If a line with a slope of -2 crosses the yaxis at (0,3) what is the equation of the line
Sliva [168]

Answer:

y=-2x+3

Step-by-step explanation:

Notice that with the provided information they are given you not ust the slope of the line (-2), but also the y-intercept (the point where the line crosses the y-axis which happens when x=0).

So you can directly write the equation of the line in slope-intercept form [y=mx+b where "m" is the slope and "b" the y-value when x=0].

Such gives us:

y=-2x+3

3 0
3 years ago
Find the sum: 8/9 + 1/6
zepelin [54]

Answer:

8/9 + 1/6 = 1 1/18

Step-by-step explanation:

1. Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

8/9*2/2 + 1/6*3/3 = ?

2. Complete the multiplication and the equation becomes 16/18 + 3/18.

3. 16/18+3/18 = 19/18 = 1 1/18

8 0
3 years ago
What rule of inference is used in each of these argu- ments?
Aliun [14]

Answer:

a) Addition b) Simplification c) Modus Ponens d) Modus Tollens e) Hypothetical Syllogism

Step-by-step explanation:

Firstly before applying the Rules of Inference, we have to translate those arguments into a symbolic form.

a) Alice is a mathematics major. Therefore, Alice is either a mathematics major or a computer science major.

Alice is a mathematics major = B

A computer Science major = R

1. P

2. ∴P ∨ Q

3. P→(P ∨ Q)

What we have here is a corresponding Tautology called Addition

Addition

b) Jerry is a mathematics major and a computer science major. Therefore, Jerry is a mathematics major.

Making the whole process of translating into symbolic language.

1. Jerry is a mathematics major and a computer science major: P ∧ Q

2. P

3 (P∧Q)→(P)

Since those premises in 1 and 2  are composed by and implication and a conjuction, this corresponding tautology is a

Simplification.

c) If it is rainy, then the pool will be closed. It is rainy. Therefore, the pool is closed.

Decomposing the premises and translating into Symbolic:

.  it is rainy= P.  the pool  closed= Q  

1st. Premise: P→Q

2nd. P

3rd.  (P→Q. ∧P)→Q

Notice  these Corresponding Tautologies. How they reinforce the argument, making it valid.

Modus Ponens

d)  If it snows today, the university will close. The university is not closed today. Therefore, it did not snow today.

It snows today =P

The university will close=Q.

The university is not closed=¬Q

it did not snow today=¬P

1. (P→Q)

2.∧¬Q

3. ¬P

4.((P→Q)∧ ¬Q)→¬P

Modus Tollens

e)  If I go swimming, then I will stay in the sun too long. If I stay in the sun too long, then I will sunburn. Therefore, if I go swimming, then I will sunburn.

I go swimming= P,  I will stay in the sun too long= Q

I stay in the sun too long = R  I will sunburn=S

1: P→Q

2:R→S

3. P→S

(P→Q)∧(R→S)→(P→S)

Hypothetical Syllogism

7 0
4 years ago
You invite your best friend Sheila out for a picnic on Thursday. Sheila tells you "If it rains, there is a 20% probability
den301095 [7]

Answer: 56%

 

Probably that it will rain and she goes + probably that it will be sunny and she goes

 

=     0.4 * 0.2     +           0.6*0.8

 

=          0.08      +              0.48

 

=   0.56

 

56% chance

3 0
3 years ago
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