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
Which function is graphed below?
lys-0071 [83]

Answer: The second option, y = 3(1/3)^x

Step-by-step explanation: Input each equation into a graphing calculator (preferably GeoGebra online) and check the answer. I linked the equation, but make sure to check anyway just in case :)

7 0
2 years ago
Solve the following quadratic equation for all values of xx in simplest form. 3(x+1)²-15=-12​
suter [353]

Answer:

x = 0, -2

Step-by-step explanation:

3 0
2 years ago
There are 7 girls and 10 boys taking gymnastics lessons. Write the ratio that compares the number of girls taking gymnastics les
masya89 [10]

Answer:

7:17

Step-by-step explanation:

There are 7 girls and 10 boys taking gymnastics lessons. Write the ratio that compares the number of girls taking gymnastics lessons to the total number of students taking gymnastics lessons

Total number of students taking gymnastics classes = 7 girls + 10 boys = 17 students

Hence:

the ratio that compares the number of girls taking gymnastics lessons to the total number of students taking gymnastics lessons

= 7 : 17

4 0
3 years ago
Given: &lt;PQR is a right angle Prove: &lt;PQS and &lt;SQR are complemantary​
amm1812

Answer:

see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠PQS+m∠SQR=m∠PQR ----> equation A (by Addition Angle Postulate)

we have that

m∠PQR=90° ----> equation B given problem (because is a right angle)

substitute equation B in equation A

m∠PQS+m∠SQR=90°

Remember that

Two angles re complementary is their sum is equal to 90 degrees (Definition of complementary angles)

therefore

m∠PQS and m∠SQR are complementary angles

3 0
3 years ago
a shed in the shape of a rectangular prism measures x feet high, x + 6.5 feet wide, and is x-4 feet deep. The volume of the shed
Artyom0805 [142]

Answer:

x-9

Step-by-step explanation:

HOPE THIS HELP -_-

6 0
3 years ago
Other questions:
  • How many yards are in 7 miles? A. 12,320 B. 700 C. 252 D. 36,960
    6·2 answers
  • Well I would say I'm trying but, that would be a total lie
    9·1 answer
  • Segment BC is parallel to segment DE
    12·1 answer
  • From 2,3,5,6,9,10 which number is divisible by 203
    11·2 answers
  • Find -2 2/5 + 4/5 need help please
    10·1 answer
  • A<br> rope<br> cut off?<br> is 3m long. If 25% is cut off, how many cm was<br> 25% of 3
    10·1 answer
  • John and Ana weight a total of 250 pounds. If John weights 130 pounds. How much does Ana weight?
    12·2 answers
  • Hey bltchezzzz (jk i love u all)
    13·2 answers
  • Sydney is 5 feet and 1 inch tall. What would her height be in centimeters? (1 foot = 12 inches, 1 inch = 2.54 centimeters) 24.01
    6·2 answers
  • Which of the following is the inverse relation of the set?<br> {(3, 1), (4, 2), (5, 3), (6,4)}
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!