Is 5/8 greater than 1/2

To find the total cost of a pair of pants priced at $29.95 with a 5% sales tax, calculate $29.95 multiplied by 0.05 for the tax amount, add that to the original price, and the total cost including tax is $31.45.

To calculate the total cost of a pair of pants with a sales tax, you first need to determine the amount of tax to be added to the price. Here's how you can do it:

Convert the sales tax rate from a percent to a decimal by dividing by 100. For a 5% sales tax, you get 0.05.

Multiply the price of the item by the decimal sales tax rate to find the amount of sales tax. So, $29.95 imes 0.05 = $1.4975.

Round the sales tax to the nearest cent, giving us $1.50.

Add the sales tax to the original price of the item. Therefore, $29.95 + $1.50 = $31.45, which is the total cost with tax.

Final answer:

The student's question involves finding two numbers with a known sum of 30 and a difference of 12. By setting up a system of linear equations and solving them, the two numbers are determined to be 21 and 9.

Explanation:

The student is asked to solve a system of linear equations where two numbers have a known sum and difference. Let's define the numbers as x and y. According to the problem, x + y equals 30, and x - y equals 12. We can solve these equations simultaneously to find the values of x and y.

Adding the two equations: (x + y) + (x - y) = 30 + 12, which simplifies to 2x = 42, so x = 21. Substituting x back into one of the original equations, 21 + y = 30, gives y = 9. Therefore, the two numbers are 21 and 9.

This exercise demonstrates one of the fundamental rules of mathematics used to find unknown quantities. Regardless of the context, such arithmetic rules are universally valid, and misunderstanding these rules, like miscounting goats or students as in the provided examples, leads to errors.

Answer:

The correct option is 3.

Step-by-step explanation:

Let the number of gallons of gas she bought at the first station be x and the number of gallons of gas she bought at the second station be y.

It is given that the first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon.

Total cost is defied as

[tex]T=3.50x+4.00y[/tex]

Alina spent no more than $45 on gas for a road trip.

[tex]T\leq 45[/tex]

[tex]3.50x+4.00y\leq 45[/tex]                  .... (1)

If she bought all number of gallons from the second station, then

[tex]4y\leq 45[/tex]

Divide both sides be 4.

[tex]y\leq 11.25[/tex]

Number of gallon can not negative.

[tex]0\leq y\leq 11.25[/tex]                     .... (2)

Inequality (1) relates the number of gallons of gas and inequality (2) represent all the possible values of x.

Therefore, the correct option is 3.

Answer:

3.5x + 4y ≤ 45, 0 ≤ y ≤ 11.25  (c)

Answer:

The length of rectangular garden is 30 feet.

Step-by-step explanation:

Given a rectangular flower garden is Samantha backyard has hundred feet around its edge. The width of the garden is 20 feet then we have to find the length of garden.

Perimeter of rectangular garden is given which is

Perimeter=100 ft

Width=20 ft

[tex]Perimeter=2(L+W)[/tex]

[tex]100=2(L+20)[/tex]

[tex]50=L+20[/tex]

[tex]L=50-20=30 ft[/tex]

The length of rectangular garden is 30 feet.

Answer:

Step-by-step explanation:

A,C,E

The partial products method helps break down a multiplication problem that can simplify calculations. In this case, for the multiplication of 6 * 0.16, we would select 0.6 (6 * 0.1) and 0.36 (6 * 0.06) as the partial products.

This is a multiplication problem regarding how much a rock would weigh on the moon if it weighs 6 pounds on Earth. To find the weight of a rock on the moon, we multiply the weight on Earth by the lunar weight factor, which is 0.16 in this case. Hence: 6 * 0.16 = 0.96.

Now, when we break down the multiplication using the partial product method, 6 * 0.16 can be viewed as (6*0)+(6*0.1)+(6*0.06), which equals 0 + 0.6 + 0.36. So the correct answers are B.0.6 and E.0.36.

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Answer:

415 milliliters

Step-by-step explanation:

Given,

The quantity of orange juice she consumes = 355 milliliters,

And, the quantity of syrup she consumes = 6 centiliters,

Since, 1 centiliters = 10 milliliters

⇒ The quantity of syrup she consumes = (10×6) milliliters = 60 milliliters

Thus, the total liquid she consumed = The quantity of orange juice she consumes + the quantity of syrup she consumes

= 355 + 60

= 415  milliliters

Answer:

assuming simple interest

I=PRT

I=262.5

P=3000

R=?

T=3.5

262.5=3000(?)(3.5)

262.5=10500?

divide both sides by 10500

0.025=?

2.5%=?

answer is 2.5%

50 cm is about 19.67 inches that's a foot and 7.89 inches

I think 1.64 feet is the closest length

For the two performances, a total of 1026 tickets were sold.

To find the total number of tickets sold for both performances, we calculate the number of tickets sold for each performance and then add them together. The theater can sell 600 tickets for each performance.

For the first performance:

80% of 600 tickets = 0.80 * 600 = 480 tickets

For the second performance:

91% of 600 tickets = 0.91 * 600 = 546 tickets

Therefore, the total number of tickets sold for both performances is:

480 tickets (first performance) + 546 tickets (second performance) = 1026 tickets sold in total.

Answer:

150+10x

Where, x = number of lilies

Step-by-step explanation: