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Aliun [14]
3 years ago
11

Write and solve an inequality that represents the number of days driven without the warning light coming on. Explain clearly wha

t the solution to the inequality means in the context of this situation.
Mathematics
1 answer:
marta [7]3 years ago
7 0

Answer:

0.6x < 12.5

x < 20.83 days

Step-by-step explanation:

Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. Write an inequality that represents the number of days Diego's father can drive the car without the warning light coming on. Explain each part of your inequality

Car fuel capacity = 14 gallons

Fuel capacity that shows warning light = 1.5 gallons

Fuel capacity without warning light = Car fuel capacity - Fuel capacity that shows warning light

= 14 gallons - 1.5 gallons

= 12.5 gallons

Fuel used per day = 0.6 gallons

Let

x = number of days Diego's father can drive the car without the warning light coming on

The inequality is

0.6x < 12.5

Solve for x

x < 12.5/0.6

x < 20.83 days

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5 0
3 years ago
Can someone please help me :)
Bas_tet [7]

Answer:

2\sqrt{13}

Step-by-step explanation:

12x12 = 144

14x14 = 196

144 + ? = 196

196 - 144 = 52

\sqrt{52} = 2\sqrt{13}

3 0
3 years ago
What is the answer to : 1.3(4.9 + 6k)
HACTEHA [7]

Answer:

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8 0
3 years ago
Square has side lengths of 13 units. Point lies in the interior of the square such that units and units. What is the distance fr
romanna [79]

The distance from E to side AD is 25/13.

<h3>What is a distance?</h3>
  • The length of the line connecting two places is the distance between them.
  • If the two points are on the same horizontal or vertical line, the distance can be calculated by subtracting the non-identical values.

To find what is the distance from E to side AD:

  • If you draw a diagram, you'll see that triangle AEB is a right triangle with lengths 5, 12, and 13.
  • Let's call F the point where E meets side AD, so the problem is to find the length of EF.
  • By Angle-Angle Similarity, triangle AFE is similar to triangle BEA. (the right angles are congruent, and both angle FAE and ABE are complementary to angle BAE)
  • Since they're similar, the ratios of their side lengths are the same.
  • EF/EA = EA/AB (they're corresponding side lengths of similar triangles).

Substitute them with known lengths:

  • EF/5 = 5/13
  • EF = 5 × (5/13) = 25/13

Therefore, the distance from E to side AD is 25/13.

Know more about distance here:

brainly.com/question/2854969

#SPJ4

The correct answer is given below:
Square ABCD has side lengths of 13 units. Point E lies in the interior of the square such that AE=5 units and BE=12 units. What is the distance from E to side AD? Express your answer as a mixed number.

8 0
2 years ago
Mind if I have some assistance.
pentagon [3]
The answer is -7 because :

a=1, b=1, c=2
Discriminant = b^2 - 4ac
= 1^2 - 4*1*2
= -7
3 0
3 years ago
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