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Mnenie [13.5K]
2 years ago
12

Think back to the marathon in France. Write an equation to show the relationship between miles ran, y, and number of hours, x, i

f a racer was running 8 miles per hour. Is this a proportional relationship?
Mathematics
1 answer:
Alchen [17]2 years ago
7 0

Answer:

No This isnt a proportional relationship

Step-by-step explanation:

BIG PRO

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12 chocolate bars for $22 or 20 chocolate bars for $33 use unit rate to determine the better buy.
jekas [21]
12c=22
6c=11
c=1 5/6
20c=33
c= 1 13/20
5/6 is about .83
13/20 is .65
12 chocolate bars for $22 is about $1.83 each
20 chocolate bars for $33 is $1.65 each

The 20 chocolate bars for $33 dollars has a better unit rate and is a better buy.
6 0
3 years ago
As a promotion, a clothing store draws the name of one of its customers each week. The prize is a coupon for the store. If the w
kompoz [17]

The given formula is f(x) = 20(1.2)^x

The formula is the starting amount multiplied by 1 + the percentage raised to the number of weeks.


A) the percent increase is 20% ( 1.2 in the formula is 1 +20% as a decimal)

B) the original amount is $20

C) for 2 weeks, replace x with 2 and solve:

20(1.2)^2

20(1.44) = $28.80

After 2 weeks the coupon is $28.80

D)  To solve for the number of weeks (x) set the equation equal to $100:

100 = 20(1.2)^x

Divide both sides by 20:

5 = 1.2^x

Take the natural logarithm of both sides:

ln(5) = ln(1.2^x)

Use the logarithm rule to remove the exponent:

ln(5) = x ln(1.2)

Divide both sides by ln(1.2)

x = ln(5) / ln(1.2)

Divide:

X = 8.83

At 8.83 weeks the coupon would be $100, so after 9 weeks the coupon would be greater than $100

The answer is 9 weeks.

4 0
3 years ago
What is the equation of the line in slope intercept form using these points?
deff fn [24]

Answer:

y = -x - 1

Step-by-step explanation:

1. The slope-intercept form of any linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. To find the slope given two points, we can use the formula \frac{y_2-y_1}{x_2-x_1} and plug in the corresponding variable.

  • \frac{5-(-2)}{-6-1}
  • \frac{5+2}{-7}
  • \frac{7}{-7}
  • -1

3. Okay, so the slope is -1x or just -x. This means that the equation looks like this so far: y = -x + b

4. To find b, the y-intercept, we can take the equation of b = y_1 - m * x_1 and plug in the values!

  • b = -2-(-1)*1
  • b = -2 + 1 * 1
  • b = -1 * 1
  • b = -1

5. Now that we have our y-intercept and slope, let's plug in those values and find the equation!

  • y = -x - 1

Therefore, the equation of the line is y = -x - 1. I hope this helped you!

3 0
3 years ago
A class is made up of 10 boys and 4 girls. Half of the girls wear glasses. A student is selected at random from the class what i
ZanzabumX [31]

Answer:

2/14 or 1/7

Step-by-step explanation:

Half the girls where glasses so 2 girls.

there are only 2 girls that wear glasses out of all the 14

so the answer is 2/14

8 0
4 years ago
Read 2 more answers
Can someone help me pls ASAP
Illusion [34]

Answer:

not bad kid not nad

Step-by-step explanation:

3 0
3 years ago
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