Explain how you can use multiplication to find the quotient 3/4÷3/16. Then evaluate the expression

[tex]\(468 \times 76 = 35,568\)[/tex].

Sure, let's multiply \(468\) by \(76\) step by step:

        468

   ×     76

 ___________

       2808   (468 × 6)

+      2340   (468 × 70, shifted one position to the left)

+     3744    (468 × 700, shifted two positions to the left)

 ___________

      35568   (Sum of all partial products)

So, [tex]\(468 \times 76 = 35,568\)[/tex].

Answer:

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Step-by-step explanation:

The scientific notation of 763 thousandths is [tex]\boxed{7.63 \times {{10}^{ - 1}}}.[/tex]

Further explanation:

Given:

The number is 763 thousandths.

Explanation:

The place values are only natural numbers.

The base ten systems represent the position of a place value.

The first digit from the right is the ones place, the second digit from the right is the tens place, the third digit from the right is the hundreds, the fourth digit from the right is the thousands.

After decimal the first place is the tenth place, the second place is the hundredth and the third place is the thousandth.

763 thousandths in base 10 can be expressed as follows,

[tex]\begin{aligned}763{\text{ thousandths}}&= \frac{{763}}{{1000}} \\&= 763 \times {10^{ - 3}} \\ &= 0.763 \\\end{aligned}[/tex]

The scientific notation of 763 thousandths can be obtained as follows,

[tex]\boxed{0.763 = 7.63 \times {{10}^{ - 1}}}[/tex]

The scientific notation of 763 thousandths is [tex]\boxed{7.63 \times {{10}^{ - 1}}}.[/tex]

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Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Decimals

Keywords: value, scientific notation, 763, digit, place value, tens, hundreds, thousandth, ones, digit, place, base ten.

Answer:

The sales tax on Tyler's meal will be approximately $0.99.

Explanation:

To calculate the sales tax on Tyler's meal, you can first find the amount of tax by multiplying the cost of the meal by the tax rate (in decimal form). Then, you can simply add this tax amount to the cost of the meal.

Tax amount = Cost of the meal × Tax rate

Given:

Cost of the meal = $15

Tax rate = 6.6% = 0.066 (in decimal form)

Now, let's calculate the tax amount:

Tax amount = $15 × 0.066

          ≈ $0.99

So, the sales tax on Tyler's meal will be approximately $0.99.

Final answer:

The greatest number of packages Angela can sell with no leftovers is found by computing the GCD of 24 and 18, which is 6. This results in each package containing 4 golf balls and 3 golf clubs.

Explanation:

The question asks to find the greatest number of packages Angela can sell with no leftover golf balls and clubs. To solve this, we need to find the greatest common divisor (GCD) of 24 golf balls and 18 golf clubs. The GCD of two numbers is the largest number that can divide both of them without leaving a remainder.

To find the GCD of 24 and 18, we list the factors of each number:

The largest factor that both lists share is 6. Therefore, the greatest number of packages Angela can sell with no leftovers is 6. This means each package would contain 4 golf balls (24 ÷ 6) and 3 golf clubs (18 ÷ 6).

The area of the circle or area of one side of the flying disc is 113.04 square inches.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

A flying disc has a radius of 6 inches.

r = 6 inches

The disc has two circular circles.

The area of one circle = πr²

= (3.14)(6)²

= 113.04 square inches

Thus, the area of the circle or area of one side of the flying disc is 113.04 square inches.

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The two moving companies' costs would be equal for a job that takes 4 hours to complete.

The cost for each moving company can be represented as a linear equation. For the first company, the cost equation is C = 2000 + 100h and for the second company, the equation is C = 1800 + 150h. We want to know when these two costs are equal, so we can set the two equations equal to each other and solve for 'h' (which represents the number of hours):

2000 + 100h = 1800 + 150h.

Solving for h, you'll find h = 4 hours. This means that the costs of the two companies will be the same if the job takes 4 hours to complete.

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Lucas used 42 nails from the box by multiplying the total number of nails, which is 56, by the fraction of nails he used, 3/4 or 0.75.

Lucas bought a box of 56 nails and used 3/4 of the nails. To find how many nails he used, you can multiply the total number of nails by the fraction of nails he used.

Total nails in the box: 56

Fraction used: 3/4

The calculation steps would be:

First, convert the fraction 3/4 to a decimal, which is 0.75.

Then multiply 56 (total number of nails) by 0.75.

Doing the multiplication: 56 × 0.75 = 42.

So, Lucas used 42 nails from the box.

Here is your answer:

First, change the mixed numbers into improper fractions:

[tex] 5\frac{1}{5} \neq \frac{26}{5} [/tex]

[tex] 2\frac{2}{3} \neq \frac{8}{3} [/tex]

Now multiply:

[tex] \frac{26}{5} \times\frac{8}{3} =\frac{208}{15} [/tex]

Then turn the improper fraction into a mixed number:

[tex] \frac{208}{15} =13\frac{13}{15} [/tex]

Therefore your answer is "13 13/15!"

Hope this helps!

The third number in the sequence is 46, found by adding 4 to the first number, which is 42, as the sum of three consecutive even numbers is 132.

Let's call the three consecutive even numbers x, x + 2, and x + 4.

According to the problem, the sum of these three numbers is 132:

x + (x + 2) + (x + 4) = 132

Now, let's solve for x:

x + x + 2 + x + 4 = 132

Combine like terms:

3x + 6 = 132

Subtract 6 from both sides:

3x = 126

Divide both sides by 3:

x = 42

Now we have the first number in the sequence: x = 42.

To find the third number, we add 4 to x:

[tex]\[ x + 4 = 42 + 4 = 46 \][/tex]

So, the third number in the sequence is [tex]\( \boxed{46} \).[/tex]