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kvv77 [185]
3 years ago
14

Diego's family car holds 14 gallons of fuel. Each day the car uses 0.5 gallons of fuel. A warning light comes on when the rainin

g fuel is 1.5 gallons or less. write an inequality to determine the number of days diego's father can drive the car without the warning light coming on.
Mathematics
1 answer:
Mandarinka [93]3 years ago
5 0

Answer:

0.5n < 12.5

n < 25 days

Step-by-step explanation:

Total gallons of fuel = 14 gallons

Warning light comes on when the remaining fuel is 1.5 gallons or less

Gallons of fuel used without warning light = 14 gallons - 1.5 gallons

= 12.5 gallons

Gallons of fuel used per day = 0.5 gallons

Number of days = n

inequality to determine the number of days diego's father can drive the car without the warning light coming on.

0.5n < 12.5

n < 12.5/0.5

n < 25 days

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Hey can you please help me posted picture of question:)
polet [3.4K]
The given trinomial can be factored using the factorization method.
x² - 2x - 24
The middle term should be written is such a way that the sum of two terms is equal to the middle one and their product should be equal to the product of first and third term. So the above expression can be written as
= x² -6x + 4x - 24
= x(x-6) + 4(x-6)
= (x-6)(x+4)
Thus, (x-6)(x+4) is the factored form of the polynomial.
So the correct answer is option B
4 0
3 years ago
Read 2 more answers
Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work
valina [46]

Answer:

Step-by-step explanation:

Question

Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work.​

perimeter of a triangle = AB+AC+BC

Using the distance formula

AB = sqrt(-2-5)²+(2-2)²

AB = sqrt(-7)²

AB =sqrt(49)

AB =7

BC = sqrt(-2+2)²+(2-5)²

BC = sqrt(0+3²)

BC =sqrt(9)

BC =3

AC= sqrt(-2-5)²+(2-5)²

AC= sqrt(-7)²+3²

AC =sqrt(49+9)

AC =sqrt58

Perimeter = 10+sqrt58

5 0
2 years ago
PLEASE HELP, I WILL GIVE BRAINIEST TO FIRST PERSON TO GIVE ME THE CORRECT ANSWER!!
pshichka [43]
C=2pir
20pi=2pir
20pi/2pi=2pir/2pi
R=10
Height=10/2=5
Two circles surface areas is
2*pir^2
2pi10^2
2*100pi
200pi
The cylindrical part is
2pirh
2pi*10*5
100pi
Add 100pi+200pi=300pi
5 0
3 years ago
How would you solve for the question below???<br> step by step please and thanks.
Airida [17]

Combine the two equations in the right amounts to eliminate y :

-2 (2x + 3y) + (3x + 6y) = -2 (17) + 30

-4x - 6y + 3x + 6y = -34 + 30

-x = -4

x = 4

Solve for y :

2x + 3y = 17

8 + 3y = 17

3y = 9

y = 3

3 0
2 years ago
Please help asap!! will give brainlist :)
Naddik [55]

Yo sup??

Area of trapezium=1/2*(sum of opposite sides)*(height of trapezium)

=1/2*(12.5+17.5)*6

=1/2*30*6

=90 cm²

Therefore the correct answer is option A

Hope this helps.

8 0
3 years ago
Read 2 more answers
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