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Romashka-Z-Leto [24]
3 years ago
5

Explain what the equation 110d = 100d + 40 representsin the context of the example problem.​

Mathematics
1 answer:
Tanya [424]3 years ago
3 0

<em>This means that at some specific number of days the cost for Oceanview and  Beachside will be the same.</em>

<h2 /><h2>Explanation:</h2>

See the complete question in the attached file. In this exercise, we know that Oceanview charges $100 per day plus a one-time fee of $40. This can be represented by the following equation:

Total cost for Oceanview:

c=100d+40

Total cost for Beachside:

c=110d

Where:

c:Represents \ the \ cost \\ \\ d:Represents \ the \ number \ of \ day

So we have to explain what the equation:

110d=100d+40

represents in the context of the problem. We have used substitution in order to get that equation, so <em>this means that at some specific number of days the cost for Oceanview and  Beachside will be the same.</em>

This value was calculated and we get that<em> the cost at the hotels will be the same after 4 days and it will be $440.</em>

<h2>Learn more:</h2>

Linear equations: brainly.com/question/12412678

#LearnWithBrainly

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Oliver and Lenny started hiking a hill simultaneously from the bottom to the top. Oliver hiked at a speed of 5 km/h during the f
Papessa [141]

Answer:

<u>Oliver and Lenny reached the top of the hill at the same time</u>

<u>The proportion of time Oliver spent hiking to that of Lenny is 1:1</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Oliver's speed = 5 km/h during the first half, then decreased his speed to 4 km/h during the second half.

Lenny's speed = 4 km/h during the first half, then increased his speed to 5 km/h in the second half.

2. Who reached the top of the hill first? What is the proportion of time he spent hiking to that of his friend?

Let's assume the distance from the bottom to the top of the hill is 10 kilometers for calculating the time it will take Oliver and Lenny to reach the top of the hill:

Speed = Distance/Time

Time = Distance/Speed

Oliver = Time of hiking first 5 km + Time of hiking second 5 km

Lenny = Time of hiking first 5 km + Time of hiking second 5 km

Oliver = 5/5 + 5/4

Oliver = 1 + 5/4 = 2 1/4 hours

Lenny = 5/4 + 5/5

Lenny = 5/4 + 1 = 2 1/4 hours

<u>Oliver and Lenny reached the top of the hill at the same time</u>

<u>The proportion of time Oliver spent hiking to that of Lenny is 1:1</u>

3 0
3 years ago
5• (4 • x ) simplified
Olegator [25]

Step-by-step explanation:

= 5 • ( 4• x )

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8 0
2 years ago
Can someone please help me with this problem
Serjik [45]

Answer:

1. 35

2. 145

3. 55

4. 90

5. 145

Step-by-step explanation:

1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145

∠1 = 35

2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal

3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55

4. ∠5 = 90. It is given

5. 145: ∠9 = ∠2 because they are vertically opposite

4 0
3 years ago
Assume: c = 40 + 0.8(y - t) g = 10 i = 20 t = 0, where t are taxes. (a) calculate y at equilibrium. (b) calculate c, i, and g at
Sonja [21]

(a). To calculate Y at equilibrium

Y = C + I + G

Y = 40 + 0.8(Y – 0 + 10 + 20)

Y = 350

 

(b). To calculate C, I and G at Equilibrium

C = 40 + 0.8 Y

Since Y = 350

C = 40 + 0.8(350)

C = 40 + 280

C = 320

I = 20

G = 10

 

(c).To find equilibrium Y

Given,

EX = 4 + 3EP/P

IM = 8 + 0.1 (Y - T) - 2EP/P

E = 3

P = 1

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3 0
3 years ago
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7. X=5
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5 0
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