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dedylja [7]
3 years ago
10

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 remain

ing fuel is 1.5 gallons or less.
1. Starting from a full tank, can Diego's family drive the car for 14 days without the warning light coming on? Explain your reasoning.

2. Starting from a full tank, can Diego’s family drive the car for 25 days without the warning light coming on? Explain your reasoning.

3. Diego says the expression 14 - 0.6t helps him to understand this situation. What does this expression represent, and what does the variable t stand for?

4. Write and solve an equation to determine the number of days Diego’s father can drive the car without the warning light coming on.

5. Write and solve an inequality that represents this situation. Explain clearly what the solution to the inequality means in the context of this situation.
Mathematics
1 answer:
Radda [10]3 years ago
6 0

Answer:

14 gallons = 23 days

Step-by-step explanation:

14/6

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Tcecarenko [31]

Answer:

See missing answers bold

$20 original = $5 final paid           as $15 was s/p before -10 was added

$30 original = $14 final price        as $24 was s/p before -10 was added

$60 original = $35  final price    as $45 was s/p before -10 was added

$92 original  = $69 final price       as $59  was s/p before -10 was added  

Step-by-step explanation:

Ans in bold  

A) = f(x) = 20(0.75) -10 =  15 - 10  = $5                 = £5 final paid

B)= f(x)  30 (0.75) = 24 - 10 = 14                           = $30 original price

C)  = f(x) = 60(0.75) -10 = 45 -10 = $35               = $35 final price

D)     = f(x) = 92 (75) = 69 -10 = $59                    = $92 original price

8 0
3 years ago
A local lake has a fish population that follows a geometric series with these properties first time equals 48 ratio equals 1/4 d
kondaur [170]

Answer:

64.

Step-by-step explanation:

Sigma notation is ∑48(1/4)^(n-1).

Upper limit =   a1 / (1 - r)  where a1 = initial population and r = common ratio.

So it is 48 / (1 - 1/4)

= 48 / 3/4

= 48 * 4/3

= 64.

4 0
3 years ago
PLEASE HELP ASAP
vredina [299]

Answer:

5 units

Step-by-step explanation:

The radius is the distance from the centre of the circle to a point on the circumference.

Use the distance formula to calculate the radius r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (1, 5)

r = \sqrt{(1+3)^2+(5-2)^2}

  = \sqrt{4^2+3^2}

  = \sqrt{16+9}

  = \sqrt{25} = 5

7 0
3 years ago
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