in a poll of travelers 85% said that traveling by air makes them nervous and 450 travelers said that it does not make them nervous. how many travelers were polled?

It's clear that [tex]\( \frac{9}{12} \)[/tex] is greater than [tex]\( \frac{20}{48} \).[/tex] So, Jim sold more lemonade than Dwight.

Jim sold [tex]\( \frac{3}{4} \)[/tex] gallon of lemonade.

Dwight sold [tex]\( \frac{5}{12} \)[/tex] gallons.

To compare them, we need to find a common denominator, which is 12.

For Jim:

[tex]\[ \frac{3}{4} \times \frac{3}{3} = \frac{9}{12} \][/tex] gallon.

For Dwight:

[tex]\[ \frac{5}{12} \times \frac{4}{4} = \frac{20}{48} \][/tex] gallon.

Now, it's clear that [tex]\( \frac{9}{12} \)[/tex] is greater than [tex]\( \frac{20}{48} \).[/tex] So, Jim sold more lemonade than Dwight.

Explanation of simplifying expressions using properties of equality.

Properties of equality are used to simplify expressions. Let's go through each example:

Lightning strikes the earth 100 times per second.

Two or more expressions with an equal sign are defined as an equation.

Given that, lightning strikes earth 1000 times in 10 seconds.

So, mathematically,

10 seconds = 1000 times

1 second = (1000/10) times

1 second = 100 times

Hence, lightning strikes the earth 100 times per second.

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The number of baked goods to have at least a profit of $200 is

94 or more.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

Cost of renting a booth = $60

Charge per baked good = $1.50

The number of baked goods to have a profit of at least $200.

60 + 1.50x ≥200

Solve for x.

60 + 1.50x ≥ 200

Subtract 60 on both sides.

1.50x ≥ 200 - 60

1.50x ≥ 140

Divide both sides by 1.50

x ≥ 140/1.50

x ≥ 93.33

This means,

94 or more baked goods.

Thus,

94 or more baked goods need to be sold to have a profit of at least $200.

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Mr. Hall's car traveled approximately 17.23 miles per gallon of gasoline when he drove a total of 37.9 miles using 2.2 gallons.

To calculate the number of miles Mr. Hall's car traveled per gallon of gasoline, we need to divide the total miles driven by the total gallons of gasoline used. Mr. Hall drove a total of 37.9 miles and used 2.2 gallons of gasoline. Thus, to find the miles per gallon (MPG), the calculation would be:

MPG = Total Miles Driven / Total Gallons of Gasoline Used

MPG = 37.9 miles / 2.2 gallons

MPG = 17.23 miles per gallon

So, for each gallon of gasoline, Mr. Hall's car traveled approximately 17.23 miles.

The value of the variable that is missing a number will be 5.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Let x be the missing number. Then the ratio is given as,

6: 30 = 1: x

Simplify the equation, then the value of the variable 'x' will be given as,

6 / 30 = 1 / x

x = 30 / 6

x = 5

The value of the variable that is missing a number will be 5.

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Answer: 24.5

Step-by-step explanation:

4m-6 = 92

If we replace m with 24.5

4 x 24.5 = 92

therefore the answer is:

24.5

To divide 76 blueberries equally into small bowls of 10 blueberries, 7 bowls will be needed. They will need to divide the remaining 6 blueberries equally by adding 1 blueberry to each bowl.

To divide 76 blueberries equally into small bowls of 10 blueberries, we will need 7 bowls. Each bowl will contain 10 blueberries, with 6 blueberries left over. Since they cannot split apart a bowl of 10 blueberries, they will need to divide the remaining 6 blueberries equally by adding 1 blueberry to each of the 7 bowls. This way, they will have shared the blueberries equally.

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The expression representing the amount Melanie earns each hour from babysitting, based on the expression $4x + $16 and her working for four hours, is represented by the variable $x. To determine the hourly rate, we would divide the total hourly charge by the number of hours, but the specific value of $x is not given.

The given expression representing Melanie's total earnings from babysitting for four hours is $4x + $16. Here, $16 is the upfront charge and $4x represents the additional hourly charge multiplied by the number of hours worked. To find the expression representing the amount she earns each hour, we look at the variable part of the expression, which is $4x.

Since Melanie worked for four hours, this part of the expression ($4x) must account for her earnings per hour times the number of hours worked. To find her earnings per hour, we divide the total hourly charge by the number of hours. Therefore, the expression for the hourly rate is $x.

To determine the specific amount that x represents, we would need additional information, such as the total amount she earned after working the four hours. However, based on the given expression, we can conclude that x is representative of Melanie's earnings per hour.

Michelle forgot to add the decimal point on her result number.

When multiplying decimal numbers don't forget to put the decimal point. The whole process of multiplying would be the same as the whole numbers multiplication except for the placement of the decimal point in the answer.

For example:

[tex]=\boxed {3.4 \times52\ }\\ =\boxed {176.8\ }[/tex]

The step by step process would be:

 3.4                    ⇒ the first factor has 1 decimal point

  52   x             ⇒ the second factor has 0 decimal point

  68

170    +

176.8                 ⇒ the answer would have 1 decimal point

Unlike the additional decimal numbers, when we are doing the multiplication, we don't need to line up the decimal point, in the case above:

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Keywords: multiplication, decimal multiplication, two digits number additional, additional,

The solution to the equation 6 + 2n = 3 is n = -3/2.

Given is an equation we 6 + 2n = 3, we need to solve for n,

To solve the equation 6 + 2n = 3 for n, we'll isolate the variable n by performing the necessary operations step by step.

Here's the solution:

Start with the given equation: 6 + 2n = 3.

Subtract 6 from both sides of the equation to move the constant term to the right side:

6 + 2n - 6 = 3 - 6.

Simplifying the left side gives: 2n = -3.

Divide both sides of the equation by 2 to solve for n:

(2n) / 2 = -3 / 2.

This simplifies to: n = -3/2.

Therefore, the solution to the equation 6 + 2n = 3 is n = -3/2.

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The Perfect poultry mix has a vegetable to bread ratio of 1/2, which is greater than the Gobbler stuffing mix's ratio of 1/3.

To determine which mix has the greater vegetable to bread ratio, we need to compare the ratios of dried vegetables to cubed bread for both Gobbler stuffing mix and Perfect poultry mix.

For the Gobbler stuffing mix, we have 1 cup of dried vegetables to every 3 cups of cubed bread, which gives us a ratio of 1/3 or approximately 0.33.

For the Perfect poultry mix, the ratio is 2 cups of dried vegetables to every 4 cups of cubed bread, which simplifies to 1/2 or 0.5.

Comparing the two ratios, we can see that 0.5 (Perfect poultry mix) is greater than 0.33 (Gobbler stuffing mix), so the Perfect poultry mix has the greater vegetable to bread ratio.

Answer: 10 feet

Step-by-step explanation:

Let h be the height of lamppost.

Since both the person and the lamppost are standing vertical to the ground,  making similar right triangles.

Because the two triangles are similar, the ratio of their sides is the same.

Therefore, we have

[tex]\frac{\text{height of lamppost}}{\text{distance of lampost from mirror}}=\frac{\text{height of person}}{\text{distance of person from mirror}}\\\\\Rightarrow\frac{h}{6}=\frac{5}{3}\\\\\Rightarrow\ h=\frac{6\times5}{3}\\\\\Rightarrow\ h=10[/tex]

Hence, the height of the lamppost = 10 feet.

Setting up a proportional relationship between mirror and lamppost, the height of the lamppost is 10 feets.

Setting up a proportional relationship :

[tex]\frac{Hp}{Dp} = \frac{Hl}{Dm} [/tex]

[tex]\frac{5}{3} = \frac{Hl}{6} [/tex]

Cross multiply :

Hl × 3 = 6 × 5

3Hl = 30

Hl = (30 ÷ 3)

Hl = 10

Therefore, the height of the lamppost is 10 feets.

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Answer:

UCOSVGLJHBdfbhksd

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

I know I'm late to this answer, but I'm just answering it just in case anyone else needs it.

Answer:

Car B has the fastest average speed 87.5/ per hours

Step-by-step explanation:

Car A

180/7 = 25.714

Car B

350/4= 87.5

Car C

584/15= 38.93

Method 1: Each person gets one segment, and the remaining two segments are cut into halves.

Method 2: Each person gets a half segment, and the remaining segments are cut into thirds.

Method 1: Each person gets one segment, and the remaining two segments are cut into halves:

Step 1: Give one segment to each person.

Step 2: Cut the remaining two segments into halves.

Step 3: Distribute the halves evenly among the five people.

So, each person will get one whole segment and one half segment.

In total, each person will get 1.5 segments.

Method 2: Each person gets a half segment, and the remaining segments are cut into thirds:

Step 1: Cut each of the three segments into thirds.

Step 2: Give one-third of each segment to each person.

Step 3: Each person will also get a half segment from the remaining two segments.

So, each person will get 0.5 segments from the three initial segments and 0.5 segments from the two remaining segments.

In total, each person will get 1 segment.

Both methods ensure that each of the 5 people gets an equal share of the 3-segment chewy fruit worm.