8 x 105 is how many times as great as 8 x 10-¹?

Which of the following options have the same value as 30\%30%30, percent of 818181?

Nataly_w [17]

Answer:

Option B is correct = $0.3 \times 81$

Step-by-step explanation:

The complete question is: Which of the following options have the same value as 30% of 81?

Group of choices is:

(A) $\frac{30}{100}\times 81 \times 100$

(B) $0.3 \times 81$

(C) $0.03 \times 81$

(D) $\frac{3}{10}\times 81 \times 10$

(E) $30 \times 81$

Now, the expression given to us is 30% of 81.

Simplifying the above expression we get;

30% of 81 = $\frac{30}{100} \times 81$

= $\frac{3}{10} \times 81$ = $0.3 \times 81$

Now, we will solve each of the given options and then see which option matches with our calculation.

Option (A) is given;

$\frac{30}{100}\times 81 \times 100$ = $30 \times 81$

This doesn't match with our answer, so this option is not correct.

Option (B) is given;

$0.3 \times 81$

This matches with our answer, so this option is correct.

Option (C) is given;

$0.03 \times 81$

This doesn't match with our answer, so this option is not correct.

Option (D) is given;

$\frac{3}{10}\times 81 \times 10$ = $3 \times 81$

This doesn't match with our answer, so this option is not correct.

Option (E) is given;

$30 \times 81$

This doesn't match with our answer, so this option is not correct.

6 0

3 years ago

What is the unit rate $1.29 for 15oz to nearest tenth

Nina [5.8K]

Answer:

The unit price of an item is the cost for each unit.

The unit price may be calculated for several reasons.

It will allow an easy comparison of the cost of the same quantity of items that come in different sizes.

For example, Company A sells peaches in a can. Their can holds 16 oz of peaches at a price of $1.60. Company B also sells peaches in a can, but their can holds 10 oz of peaches at a price of $1.10. At first glance, Company B looks like they might have cheaper peaches because of the lower overall price, but when you calculate the unit price, you get a more accurate way to compare.

For Company A, $1.60 ÷ 16oz = $0.10 per ounce.

For Company B, $1.10 ÷ 10oz = $0.11 per ounce.

The peaches are measured with ounces as the unit, so now that we have unit prices, we can definitely tell that Company A is the better deal, if you like peaches!

Unit price can also be helpful to find the cost of a single item when many items are purchased together. This may be required if the items are going to be divided up and resold. It could also be useful if several people will pay together with each person paying their fair share of the cost based on how many items they receive.

Step-by-step explanation:

5 0

3 years ago

A sports store near Big Bear Lake is having a 20% off sale on all water skis. What will the sale price be for water skis which r

kvasek [131]

248 x 0.8 = $198.40
answer $198.40

8 0

2 years ago

Five increased by the product of a number and 9 is greater than -27 As an inequality

Brut [27]

Answer:

brhnrnr e euebe ehe we je euebe ejeje

3 0

3 years ago

A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If the

notsponge [240]

Answer:

The area of the rectangular field is 20,000 square meters.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of times a person jogged along the rectangular field = 10

Speed of the person jogging = 12 km per hour

Time he/she jogged = 30 minutes = 0.5 hours

Length of the field = twice its width

2. Find the area of the field in square meters.

Step A: Let's calculate the distance the person jogged

Let's recall the formula of the speed:

Speed = Distance/Time

Distance = Speed * Time

Replacing with the values we know:

Distance = 12 * 0.5

Distance = 6 kilometers

Step B: Let's calculate the perimeter of the rectangular field

Distance jogged = ¨Perimeter * 10

6 kilometers = Perimeter * 10

Perimeter = 6/10

Perimeter = 0.6 kilometers = 0.6 * 1,000 = 600 meters

Perimeter = 2 * Length + 2 * Width

x = Width of the rectangular field

2x = Length of the rectangular field

600 = 2 * 2x + 2 * x

600 = 4x + 2x

600 = 6x

x = 600/6 = 100 meters ⇒ 2x = 200 meters

Step C: Let's calculate the area of the rectangular field

Let's recall the formula of the area of a rectangle:

A = Length * Width

A = 200 * 100

A = 20,000 m² (square meters)

7 0

3 years ago