1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
s344n2d4d5 [400]
3 years ago
5

HELP NEED THIS FOR A TEST!!! 20 POINTS!!

Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0

Answer:

a.

capacity of car = 14 gallons

consumption of fuel in one day = 0.6 gallons

consumption of fuel in 14 days = 14 x 0.6 = 8.4 gallons

fuel remaining in car = 14 - 8.4 = 5.6 gallons

so they can drive the car without warning.

b.

consumption of fuel in one day = 0.6 gallons

consumption of fuel in 25 days = 25 x 0.6 = 15 gallons

fuel remaining in car = 14 - 15 = -1 gallons

so they can't drive the car without warning.

c.

the expression 14 - 0.6t represents remaining fuel in the vehicle, where t represents number of days.

d.

14 - 0.6t = 1.5

or - 0.6t = 1.5 - 14 = - 12.5

or t = -12.5 / - 0.6

or t = 20.8333 days

so he can drive 20 days without warning.                                                                                         E.

14 - 0.6t < 1.5

or t < 20.8333

here t represents number of days car can drive without warning light.

Step-by-step explanation:

The inequality is  

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

14 gallons-1.5 gallons=12.5 gallons  

we know that

If the remaining fuel is greater than  1.5 gallons Diego's father can drive the car without the warning light coming on  

so

Let

x ----> the number of days

 ----> inequality that represent the situation

Solve for x

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

You might be interested in
Joni has two U.S coins in her pocket. One of the coins is not a dime. If the total value of coins in her pocket is 11 cents, wha
Snezhnost [94]
There is one dime and i penny

because it says one coin is not a dime 
that does dot mean the other coin is not a dime
6 0
3 years ago
Working together, it takes 2 computers 12 minutes to send out emails. If it takes the slower 30 minutes to the job on its own, h
artcher [175]

Answer:

The faster computer can do the job in 20 mins on it own.

Step-by-step explanation:

Given:

Time taken by slower computer to do job on its own =30 minutes.

Time taken by both the computers to do the job = 12 mins.

We need to find the Time taken by faster computer to do job on its own.

Solution:

Let the the Time taken by faster computer to do job on its own be 'x'.

Now we know that;

Rate to complete the job is equal to number of jobs divided by time taken to complete the job.

Rate of faster computer = \frac1x

Rate of slower computer = \frac{1}{30}

Rate of both the computers = \frac{1}{12}

Now we can say that;

Rate of both the computers is equal to sum of Rate of faster computer and Rate of slower computer.

framing in equation form we get;

\frac{1}{12}=\frac{1}{30}+\frac{1}{x}\\\\\frac{1}{x} = \frac{1}{12}-\frac{1}{30}

Now we will take the LCM to make the denominator common we get;

\frac{1}{x}=\frac{5}{12\times5}-\frac{2}{30\times2}\\\\\frac1x=\frac{5}{60}-\frac{2}{60}

Now denominator are same so we will solve the numerator.

\frac1x=\frac{5-2}{60}\\\\\frac1x=\frac{3}{60}\\\\\frac1x=\frac{1}{20}\\\\x=20\ mins

Hence The faster computer can do the job in 20 mins on it own.

4 0
3 years ago
What is the value of x?<br><br> x= <br> units
attashe74 [19]
By Pythagoras theorem

RQ^{2}= x^{2} + 16^{2}
RS^{2}= x^{2} + 9^{2}

SQ^{2}= RS^{2}  + RQ^{2}
SQ^{2}= x^{2} + 16^{2}  + x^{2} + 9^{2}
SQ^{2}=2 x^{2} +256+81
25^{2}=2 x^{2} +337
625-337=2 x^{2}
288=2 x^{2}
144= x^{2}
x=12
8 0
3 years ago
Read 2 more answers
Drag and drop formal proof. Prove the Polygon Exterior Angle Sum Theorem for the enclosed triangle, that is ∠1+∠2+∠3=360°
jasenka [17]

Answer:

The sum of all the external angles of a triangle is 360°.

Step-by-step explanation:

Let there are n sides in a polygon.

So, there are n internal angles in the polygon, let ∠i1, ∠i2, ∠i3, ..., ∠in are the measure of n internal angles of the polygon.

The measure of external angle corresponding to ∠i1,  ∠1= 180°-∠i1,

The measure of external angle corresponding to ∠i2, ∠2 = 180°-∠i2,

Similarly, the measure of external angle corresponding to ∠in, ∠n = 180°-∠in.

Now, the sum of all the external angles of the polygon,

(∠1+∠2+...+∠n)=(180°-∠i1)+(180°-∠i2)+...+(180°-∠in)

=(180°+180°+...n times)-(∠i1+∠i2+...+∠in)

=n x 180° - (∠i1+∠i2+...+∠in)

As ∠i1+∠i2+...+∠in is the sum of all the internal angles of the polygon.

So, the sum of all the external angles of the polygon =

(n x 180°) - (sum of all the internal angles of the polygon).

In the case of a triangle, n=3  and the sum of all the three internal angles, ∠i1+∠i2+∠i3 = 180°.

Therefore, the sum of all the external angles of a triangle,

∠1+∠2+∠3 =3x180°-(∠i1+∠i2+∠i3)

                 =540°=180°

                 =360°.

Hence, the sum of all the external angles of a triangle is 360°.

5 0
3 years ago
Elena and Jada are 12 miles apart on a path when they start moving towards each other Elena runs at a constant speed of 5 miles
Leviafan [203]
If you really want to figure this out you make an equation to solve for the time
let's let
x = time from Elena to Jada and
x = time from Jada to Elena
12 then the equation
12 = 5x +3x
would help figuring out their distance say for one of them
12 = x(5+3)
12/8 = x
1.5 = x
1. 5 hours they will meet up
7 0
3 years ago
Read 2 more answers
Other questions:
  • Find (3 × 104) − (5 × 102).
    10·2 answers
  • Simplify the following algebraic expressions.<br><br> -6x + 5 + 12x -6
    10·1 answer
  • What is 5y^2 + b - 1x<br> y=-3<br> b=6<br> x=5<br> Please show work
    5·1 answer
  • Analyze the graph of the quadratic function that contains the points (0,-2), (1,0) and (3,10). Create the equation of the functi
    12·2 answers
  • Solve each equation.<br> 1) X- 17 = -32
    15·1 answer
  • What is the equation of the line? . Image below.
    8·1 answer
  • Select all ratios equivalent to 7:2 ?
    11·1 answer
  • L Pretest Unit 2
    8·1 answer
  • A line passes through the point (-2, -6) and has a slope of
    6·2 answers
  • Please help me with this
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!