Which of the following sets shows all the numbers from the set {0.5, 1, 2.5, 3, 3.5} that make the inequality 4a + 2 ≥ 12 true?

{2, 2.5, 3}
{2.5, 3, 3.5}
{0.5, 1, 2.5}
{1, 2.5, 3}

Answer:

67.50%

Step-by-step explanation:

We can prove that the answer is correct by taking 67.50 percent of 80 to get 54:

(80 x 67.50)/100 = 54

Note that our calculator rounds the answers up to two decimals if necessary. Once again, the answer is as follows:

67.50%

A (8, 5)

hope this helps!

The correct net of the prism is net A and the surface area of the prism is 510 square inches

To calculate the area of the triangular prism, we make use of the net A

Start by calculating the area of the rectangle.

The dimension of the rectangle is (5 + 12 + 13) by 15

So, the area of the rectangle is:

[tex]Area = (5 + 12 + 13) * 15[/tex]

[tex]Area = 450[/tex]

Next, calculate the area of the two congruent triangles of base 5 and height 12

[tex]Area = 2 * 0.5 * (5 * 12)[/tex]

[tex]Area = 60[/tex]

Sum both areas

[tex]Total = 450 + 60[/tex]

[tex]Total = 510[/tex]

Hence, the surface area of the prism is 510 square inches

Read more about surface areas at:

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Answer:

The answer is 6 hours

Step-by-step explanation:

;)

Based on the information, the weight of the package is approximately 6 pounds.

According to the given information, the shopping company charges $3.50 as a base fee and an additional $0.85 per pound to ship the package.

The total charge for shipping the package, which is $8.60, can be expressed as:

$3.50 + ($0.85 * w) = $8.60

To find the weight of the package, we need to solve this equation for "w". Let's solve it step by step:

$0.85 * w = $8.60 - $3.50

$0.85 * w = $5.10

Now, we can isolate "w" by dividing both sides of the equation by $0.85:

w = ($5.10) / ($0.85)

w ≈ 6

Therefore, the weight of the package is approximately 6 pounds.

Learn more about equations

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Answer: Diameter of circle = 18m

Explanation:

Given that distance around a circle is = 56.55 meter

The distance around a circle on the other hand is called the circumference .

That means Circumference = 56.55 m

We know the formula of circle's circumference= 2πr

where r is the radius and 2r is diameter of the circle

So,

2πr = 56.55

divide by π both the side

2r = [tex] \frac{56.55*7}{22} [/tex]

Value of π = [tex] \frac{22}{7} [/tex]

2r = 17.993 ≈ 18 m

Diameter of circle = 18m

Answer:

$4.50

Step-by-step explanation:

Since there is a  50 %  discount on the price, the new price is  100 %  −  50 %  =  50 %  of the original price.

Let the original price be  x . Then we have:

x  ⋅  50 %  =  $ 2.25

x  ⋅  1 2 =  $ 2.25

x  =  $  2.25  ⋅  2   =  

$ 4.50

So, the bottle of hand lotion's original price was $ 4.50 .

Answer:

The number of ounces in each glass is [tex]12.2\ ounces[/tex]

Step-by-step explanation:

Let

s-------> the number of ounces in each glass

we know that

To get the number of ounces in each glass, subtract the amount of tea left in the pitcher from the total amount of tea and divide the result by the number of glasses.

so

The equation that represent the situation is

[tex]s=(64-3)/5[/tex]

[tex]s=(61)/5=12.2\ ounces[/tex]

Answer:

Step-by-step explanation:

Final answer:

Set up a proportion where 10% of the total number of cups equals 200 green cups, then calculate to find that there are 2000 cups in the entire package.

Explanation:

To find the total number of cups in the package when 200 green cups represent 10% of the total, we can set up a simple proportion. Here, 10% corresponds to the number of green cups we know about. We need to find 100% to discover the total number of cups in the package.

The proportion we'll set up is:

10% / 200 cups = 100% / x cups

To solve for x (the total number of cups), we will divide 200 cups by 10% to find the value of 1% and then multiply by 100%:

1% of total = 200 cups / 10

x (total cups) = (200 cups / 10) × 100

Perform the calculation:

x = 20 cups × 100

x = 2000 cups

So, there are 2000 cups in the total package.

To determine the actual distance of a 4 cm road on a map with a 1:20000 scale, multiply the map measurement by the scale factor to get 80000 cm, then convert it to meters to obtain an actual distance of 800 meters.

To work out the actual distance of a road on a map that has a scale of 1:20000, you need to convert the map length to the actual length. If the road measures 4 cm on the map, you would use the following steps:

Therefore, the actual distance of the road is 800 meters.

Answer:

The answer is 3 + 4 + 6

There are 13 numbers that are lower than 90, and 3 + 4 + 6 is the correct expression because 3 + 4 + 6 = 13.

I did this on my lesson and I got it right.

Final answer:

The most likely reason some localities in Georgia charge higher sales taxes is that they can add to the state's 4% tax to cater to their own financial needs, funding local services and needs.

Explanation:

The question relates to why some places in Georgia might charge a higher rate of sales tax than the state's baseline of 4%. The most likely reason is that localities in Georgia have the authority to add additional percentages to the state sales tax to address their individual financial requirements. This is commonly seen in states where local governments utilize the sales tax mechanism to fund specific local public services and projects. For instance, a city may add a percentage to fund improvements in education, transportation, or healthcare facilities.

The amount of sales tax is determined by multiplying the price of the goods or services by the sales tax rate. When a locality opts to add to the state sales tax, the total sales tax a consumer pays is the sum of the state rate plus any local rates. This system allows for local governments to cater to their unique budgetary needs while still adhering to the broader state tax structure. This is different from other variables, like shipping costs, buyer's income, or seller preferences, which do not generally affect the sales tax rate.