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Elza [17]
3 years ago
14

Helga and Dora were solving the following problem together. A boat left Kyuquot and headed west at 15.5 km/h. A second boat left

Kyuquot half an hour later and headed west at 18 km/h. For how many hours did the first boat travel before the second boat overtook it? Both girls used t to represent the time taken by the first boat. However, they disagreed on the equation to model the situation. Helga’s Equation Dora’s Equation 15.5t = 18(t + 0.5) 15.5t = 18(t - 0.5) a) Explain what the expression on each side of each equation represents. b) Which equation is correct? Explain. c) What is the solution to the problem?
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
3 0

Answer:

15.5t=18(t-0.5) is the correct answer

Step-by-step explanation:

if the first boat travels t time then the second traveld t-0.5 time to take over

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Hi need help on a test for math
enyata [817]

Answer:

i rlly dont want to make you wrong cause i feel lik im wrong but i got all of them as cant be sides of triangles

Step-by-step explanation:

i did use a calculator tho

5 0
3 years ago
Following the recommended steps for solving equations, what should be your first step in solving the given equation?
Free_Kalibri [48]
To solve equations, you isolate the variable you are solving for on one side and everything else on the other side.

The first step to solving this equation is to combine like terms.
Combining like terms means to add up all terms that have the same variable(s) and exponent.

If no exponent is shown, then a 1 exponent is implied. The reason why we don't show a term raised to the first power is that it doesn't have any effect on the term.

I see three terms with the x variables. We can combine them. Why? Because they all have the same variable and exponent.

I'll rearrange the left-hand side to combine all the terms with the x variable.

Now we have -3 + 2x - 4x - 2x = -6
Combine all terms that have the x variable.

-3 + 2x - 4x - 2x = -6
-3 - 4x = -6

Now we have -3 - 4x = -6
What can we do now to isolate the x variable on the left-hand side?
For starters, we can add 3 to each side of the equation.
That way the -3 term will disappear.

-3 - 4x + 3 = -6 + 3
-4x = -3

Last step.
The x variable is being multiplied by the -4. If we reverse that operation
we can get the value of x.

-4x / -4 = 3 / -4
x = 3/-4 or x = -0.75



8 0
2 years ago
Read 2 more answers
The function N(X) = 90(0.86)* + 69 can be used to predict the temperature of a
dezoksy [38]

Answer: -8.93

Step-by-step explanation:

Given the function:

N(X) = 90(0.86)^x+ 69

X in the interval [0, 6]

For X = 0

N(0) = 90(0.86)^0 + 69

90 + 69 = 159

For X = 6

N(6) = 90(0.86)^6 + 69

90(0.404567235136) + 69

= 105.41105116224

Therefore, average change of change in temperature ;

(temp 2 - temp 1) / ( time 2 - time)

(105.41105116224 - 159) / (6 - 0)

= - 53.58894883776 / 6

= - 8.93149147296

= - 8.93

4 0
3 years ago
Before the season starts, the performing arts center offers tickets at 30% off the listed price. The listed ticket price for the
enyata [817]

To the percentage of something do $45 times 0.3

0.3 represents the percent of discount

When you do that you should get $13.5

$13.5 just represents the amount you are going to take away from $45, so subtract 13.5 from 45

Answer:

D. $31.5


6 0
2 years ago
Read 2 more answers
2.1 liters of coffee were equally distributed to 30 cups how many millimeters of coffee were in each cup
sattari [20]

Answer: 70 ml of coffee in each cup


Step-by-step explanation:

1 liter = 1000 ml

Amount of coffee given = <em>2.1 liters</em>

\Rightarrow <em>2.1 liters =  2.1 * 1000 = 2100 ml</em>

Total number of cups = 30

\therefore Amount of coffee in each cup = \frac{Total\ amount \ of \ coffee}{number\ of  \ cups} = \frac{2100}{30} =70

<em>∵ Amount of coffee in each cup </em>= <u>70 milliliters</u>

4 0
3 years ago
Read 2 more answers
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