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Brut [27]
2 years ago
12

To help answer this question, Diego wrote the equation 3/4 divided by 2/5. Explain why this equation does not represent the situ

ation.
Mathematics
1 answer:
marissa [1.9K]2 years ago
4 0
<h3>Number of minutes in 3/4 of an hour is : </h3>

<h3>n = 3/4 × 60 = 45 minutes. </h3>

<h3>Now, If it continues to rain at that rate for 15 more minutes : </h3><h3> </h3><h3>So, time taken = 45 + 15 min = 1 hour. </h3><h3> </h3><h3>Let, rain gauge is filled x fraction in 1 hour. </h3>

<h3>So, </h3>

<h3>Hence, this is the required solution.</h3>
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Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today.
barxatty [35]

Answer:

524.96 − 32.50 + x ≥ 500

Amount need to deposit = $7.54

Step-by-step explanation:

Given:

Amount in checking account = $524.96

Maintain amount = $500

Amount of check = $32.50

Find:

Amount need to deposit

Computation:

Assume, amount need to deposit = x

So,

For avoiding fee

524.96 − 32.50 + x ≥ 500

x = 7.54

Amount need to deposit = $7.54

4 0
2 years ago
Show that b^2 is greater than equal to or less than ac, according as a, b, c are in A.P., G.P.
ValentinkaMS [17]

Answer/Step-by-step explanation  (ac > b² or b² < ac. )

A/c to question, we have to show:-

b² >ac in A.P ........ (1)

b² = ac in G.P .....(2)

b² < ac in H.P. ..... (3)

b = a+c/2 (A.P)

b = √ac ( G.P)

b = 2ac/a+c (H.P)

In A.P :

b² > ac = b² - ac

= (a+c/2)² - ac

= (a²+2ac+c²/4) - ac  = a² + 2ac + c² - 4ac / 4

= a² - 2ac + c² / 4  = ( a - c ) ² / 4 > 0  Hence, b²>ac

In G.P:-

b = √ac

Hence, b² = ac

In H.P :-  b² < ac = ac > b²  = ac - b²  = ac - ( 2ac / a+c)

= ac(a+c) - 2ac / a+c

= a²c + ac² - 2ac / a+c

= ac(2ac - 2) / a+c > 0

Hence, ac > b² or b² < ac.

5 0
1 year ago
For each exercise draw circle O with radius 12. Then draw radii OA and OB to form an angle with the measure named. Find the leng
guajiro [1.7K]
<span>You are asked to draw circle O with radius 12. Then draw radii OA and OB to form an angle with the measure named. You are asked to find the length of AB. The answers for each of the following measures are:
1)Measure of AOB=90, AB = 16.97 units
2)measure of AOB=180, AB = 24 units
3) measure of AOB=60, AB = 10.39 units
3) measure of AOB=120, AB = 10.39 units</span>
5 0
2 years ago
Find the residual values, and use the graphing calculator tool to make a residual plot. A 4-column table with 5 rows. The first
Georgia [21]

Answer:

Solution-

We know that,

Residual value = Given value - Predicted value

The table for residual values is shown below,

Plotting a graph, by taking the residual values on ordinate and values of given x on abscissa, a random pattern is obtained where the points are evenly distributed about x-axis.

We know that,

If the points in a residual plot are randomly dispersed around the horizontal or x-axis, a linear regression model is appropriate for the data. Otherwise, a non-linear model is more appropriate.

As, in this case the points are distributed randomly around x-axis, so the residual plot show that the line of regression is best fit for the data set.

Hope this helps!

Step-by-step explanation:

4 1
2 years ago
Read 2 more answers
Hannah and Leah are running around a circular track. Hannah takes 5 minutes to complete one lap, and Leah takes 6 minutes to com
Dima020 [189]
The answer is 30 minutes. Because 6 x 5 = 30 while 5  6 = 30 as well. Hope this helped.
4 0
1 year ago
Read 2 more answers
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