why is it important to know how to interpret a remainder?

Final answer:

The ratios 10/20 and 30/60 both simplify to 1/2, showing they form a proportion as they equal the same value when reduced to simplest form.

Explanation:

Proportion is a mathematical concept where two ratios are equivalent.

For example, the ratios 10/20 and 30/60 form a proportion.

We can show this by finding a common multiplier and simplifying the ratios.

10/20 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 10.

This yields:

10 ÷ 10 = 1 and 20 ÷ 10 = 2. So, 10/20 simplifies to 1/2.

Similarly, 30/60 can be simplified by dividing both the numerator and denominator by 30, resulting in:

30 ÷ 30 = 1 and 60 ÷ 30 = 2. This simplifies to 1/2, the same as the first ratio.

Since both ratios simplify to 1/2, we can say that 10/20 and 30/60 form a proportion because they both equal the same value when reduced to simplest form.

Answer:

Do the one that looks like this

here is also a really cute pic

Keywords:

Water, plant, water, liters, daily, milliliters, divide

For this case we must find the amount of liters of water that students used daily, for 28 days, to water a plant, knowing that they used a total of 23.8 liters of water at the end of 28 days. For this, we must divide and the result convert it to milliliters. So:

Let "x" be the number of liters of water that students used per day:

[tex]x = \frac {23.8\ liters} {28\ days}\\x = 0.85\ liters\ per\ day.[/tex]

Thus, the students used 0.85 liters of water per day.

On the other hand, we know that: 1 liter equals 1000 milliliters. Then, by rule of three:

1 L -------------> 1000 mL

0.85L ---------->?

Where "?" represents the amount of daily water watered in milliliters

[tex]? = \frac {0.85 * 1000} {1}\\? = 850\ mL[/tex]

Thus, the students used 850 milliliters of water per day.

Answer:

850 milliliters of water per day.

They use 0.85 liters = 850 mililiters each day.

Comparison is an effort to compare two or more objects in terms of shape or size, or number

Proportional Comparisons are comparisons of two or more numbers where one number increases, the other numbers also increase

[tex]\frac {x1} {y1} = \frac {x2} {y2}[/tex]

  so that if:

  x = 2

  then

[tex]y =  \frac {y} {x} \times \: 2[/tex]

While the reversal value comparison is the comparison of two or more numbers where one number increases, the other number decreases in value

  Can be formulated

 [tex]\displaystyle \frac {x1} {y2} = \frac {x2} {y1}[/tex]

so that if:

  x = 2

  then

[tex]\displaystyle y = \frac {x} {y} \times \: 2[/tex]

students use a total of 23.8 liters of water over the 28 days

The amount of water used in a day

From this we can make a comparison:

[tex]28~days=23.8~liters[/tex]

[tex]1~day=x~liter[/tex]

[tex]\displaystyle \frac{1~day}{28~day} =\frac{x~liters}{23.8}[/tex]

[tex]\displaystyle x~=~\frac{1~\times~23.8}{28}[/tex]

x = 0.85 liters

From the unit of volume, we convert liters to milliliters

1 liter = 10³ milliliters

0.85 liters we move the comma 3 units to the right becomes:

[tex]\displaystyle 0.85 = 0~\boxed{,}\rightarrow~8~\rightarrow~5~\rightarrow~0~\boxed{,}[/tex]

= 850 mililiters

1,092 flowers are arranged into 26 vases  

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Keywords: water a plant, liters, mililiters,students

Answer:

To sum 37+58 mentally, we could first sum 30+50=80 and then sum the units, 80+7+8= 95.

But, if we have to show properties, we could separate first the numbers:

30 + 7 + 50 + 8.

Then, we apply commutative property to position like numbers aside:

30+50+7+8

Then, we apply associate property, to have a better order of the operation, which is easier to the mind:

(30+50) + (7+8)

Then, we sum each group:

80 + 15

At last, we sum again and have the result:

80+15=95.

Victoria would have paid $4.25 for 8.5 pounds of carrots if they were $0.50 less per pound.

To find out how much Victoria would have paid for 8.5 pounds of carrots if they were $0.50 less per pound, we need to subtract $0.50 from the original price per pound and then multiply it by 8.5.

Let's say the original price per pound of carrots is $1.00. Subtracting $0.50 from it gives us $0.50. Multiplying $0.50 by 8.5 gives us $4.25.

Therefore, Victoria would have paid $4.25 for 8.5 pounds of carrots if they were $0.50 less per pound.

The real-world problem involves maintaining a minimum safe temperature in an animal shelter that can be represented by the inequality r + 32 ≥ 56, which simplifies to r ≥ 24 after subtracting 32 from both sides.

Consider a situation where r represents the room temperature in degrees Fahrenheit without accounting for wind chill or humidity, and the inequality r + 32 ≥ 56 represents the minimum safe temperature that must be maintained in an animal shelter to keep the animals comfortable during winter months.

To solve the inequality for r, we would subtract 32 from both sides:

So, the shelter must keep the room temperature at 24 degrees Fahrenheit or higher to ensure the animals' safety.

If we were to compare this with mathematical rules presented in LibreTexts, subtracting the same number from both sides of an inequality does not change the relationship, which is a standard procedure for solving inequalities.

Answer: 3.055 feet

Step-by-step explanation:

Given : The statue of liberty is 305.5 feet tall from the foundation of its pedestal to the top of its torch.

Its model will be one hundredth times as tall as the actual statue.

Now , One hundredth = [tex]\dfrac{1}{100}=0.01[/tex]

According to the statement,

The height of the model will be = [tex]\dfrac{1}{100}\times\text{Height of original statue}[/tex]

[tex]=\dfrac{1}{100}\times305.5=3.055\text{ feet}[/tex]

Hence, the height of the model will be 3.055 feet.

8.0

Hope this helped it probbaly didnt just have a nice day

Final answer:

The percent error in Clara's estimate of the hiking trail length is calculated using the difference between actual and estimated lengths, resulting in an 8.0% error. Option B is correct.

Explanation:

To calculate the percent error in Clara's estimate of the hiking trail's length, we use the formula: percent error = (|Actual length - Estimated length| / Actual length) × 100. Clara estimated the length to be 5.75 km, while the actual length is 6.25 km.

First, calculate the absolute difference between the actual and estimated lengths: |6.25 km - 5.75 km| = 0.5 km.

Then, divide this difference by the actual length: 0.5 km / 6.25 km = 0.08.

Finally, convert this to a percentage by multiplying by 100: 0.08 × 100 = 8.0%.

Therefore, the percent error in Clara's estimate is 8.0%, making option B the correct answer.

Answer:

80 total candy bars

Step-by-step explanation;

set up proportion

24

30/100

24 x 100=2400 divided by 30

=80

The total number of candy bars that he has sold is 80 candy bars.

Using this formula

Total sold candy bars=Number of candy bars sold/Percentage of candy bar sold

Where:

Number of candy bars sold=24 candy bars

Percentage of candy bar sold=30%

Let plug in the formula

Total sold candy bars =24/0.30

Total sold candy bars=80 candy bars

Inconclusion the total number of candy bars that he has sold is 80 candy bars.

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