Find the quotient of 9 divided by 5/8 .

Answer:

Option D.

Step-by-step explanation:

As per given statements we see the time of Sasha practice it increases by a fixed factor of '2' or we can say Sasha's time is multiplied by '2' every week.  

When we see the time of Mona's practice, it increases by 10 mins every week. hence there is a addition of a fixed number '10'.

so option D is correct which says Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.

Answer:

The difference between the volumes is 728 ft³.

Step-by-step explanation:

Our first step will be to find the volume of the smaller pyramid. Notice that we have all the necessary dimensions. The formula for the volume of a pyramid is

[tex]V = \frac{A_bh}{3},[/tex]

where [tex]h[/tex] stands for the height and [tex]A_b[/tex] for the area of the basis. In this case [tex]h=4 ft[/tex], and the area of the basis, which is a rectangle, is [tex]A_b = 3 ft * 7 ft = 21 ft².[/tex] Then,

[tex]V = \frac{(21 ft²)(4 ft)}{3} = 28 ft³.[/tex]

Now, two calculate the volume of the second pyramid, recall that it has dimensions three times larger. This means, [tex]h=3*4 ft=12 ft[/tex] and [tex]A_b = (3*3 ft) *(3* 7 ft) = 9*21 ft² = 189 ft².[/tex] Then,

[tex]V = \frac{(189 ft²)(12 ft)}{3} = 756 ft³.[/tex]

Finally, we only need to substract the values of the volumes:

756 ft³-28 ft³= 728 ft³.

Final answer:

To factor quadratic expressions in general, we can use the AC Method, which involves breaking down the middle term and finding two numbers that multiply to give a certain product and add up to the coefficient of the middle term.

Explanation:

To factor quadratic expressions in general, we can use the method known as the AC Method. This method involves breaking down the middle term of the quadratic expression and finding two numbers that multiply to give a certain product (the product of the coefficient of the leading term and the constant term) and add up to the coefficient of the middle term. Once we find these two numbers, we can rewrite the quadratic expression as a product of two binomials.

For example, let's say we have the quadratic expression [tex]2x^2[/tex] + 5x + 3. The product of the leading coefficient (2) and the constant term (3) is 6. We need to find two numbers that multiply to 6 and add up to the coefficient of the middle term (5). The numbers 3 and 2 fit this criteria. Therefore, we can rewrite the quadratic expression as (2x + 3)(x + 1).

Note that if the quadratic expression cannot be factored using this method, it is considered a prime polynomial and cannot be factored further.

The volume of the tent is 472.5 cubic units.

'A triangular prism is a three-dimensional shape with two identical faces in the shape of a triangle connected by three rectangular faces.'

According to to the given problem,

Length = 15 units

Base = 9 units

Height = 7

Volume of the tent =( [tex]\frac{1}{2}*9*15*7[/tex] ) cubic units

                               = 472.5 cubic units.

Hence, we can conclude, the volume of the tent is 472.5 cubic units.

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The question involves finding the dimensions of a rectangular prism packed with 84 smaller cubes of a certain size. The answer requires understanding of volume and consideration of the physical characteristics of a rectangular prism.

The problem presents a rectangular prism completely packed with 84 cubes of edge length 1 over 3 inch. To find the dimensions of the prism, we must first understand the volume. Given the volumes of the small cubes (edge length cubed), we can multiply this by the number of cubes (84) to find the total volume of the prism.

Next, we use this total volume to derive the possible dimensions of the rectangular prism. The dimensions should be factors of the total volume, keeping in mind the shape of a physical rectangular prism (which usually has length longer than width and height).

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Answer: d. s ≥ 23

Step-by-step explanation:

Let s be the side of the square.

We know that the perimeter of a square =4s

Let f(s)=4s

If the cardboard should have a perimeter equal to at least 92 inches, the inequality would look like

[tex]4s\geq 92[/tex]

Divide both sides by 4, we get

[tex]s\geq\frac{92}{4}\\\Rightarrow\ s\geq23[/tex]

Thus, d. is the right answer. The reasonable domain of f(s) is [tex]s\geq23[/tex]

Marcus's wall has an area of 140 square feet. If he paints half of it blue, 70 square feet will be blue.

To find the area of the wall, we multiply its height by its length:

[tex]\[ \text{Area of the wall} = \text{Height} \times \text{Length} \][/tex]

First, convert the mixed numbers to improper fractions:

- Height: [tex]\(8 \frac{2}{5} = \frac{42}{5}\) feet[/tex]

- Length: [tex]\(16 \frac{2}{3} = \frac{50}{3}\) feet[/tex]

Now, multiply:

[tex]\[ \text{Area} = \left( \frac{42}{5} \right) \times \left( \frac{50}{3} \right) \][/tex]

[tex]\[ \text{Area} = \frac{42 \times 50}{5 \times 3} = \frac{2100}{15} = 140 \text{ square feet} \][/tex]

If Marcus paints half of the wall blue, the area painted blue is:

[tex]\[ \text{Blue area} = \frac{1}{2} \times 140 = 70 \text{ square feet} \][/tex]

Therefore, 70 square feet of the wall will be blue.

5/9 / 5/7 =

5/9 * 7/5 = 35/45 reduce to 7/9

28457 x 3 = 85371 white blankets

85371 + 28457 = 113,828 total blankets

113828/55 = 2069.6 total boxes

so 2069 full boxes

and 55*.6 = 33 left over blankets

Answer:

At this rate, which expression can be used to determine how fast a mule deer runs in miles per hour. A 25 seconds/ 1/4 mile = 36 miles per hour

Answer:

B) one-fourth mile over twenty-five seconds = 36 miles per hour

The selling price of the item in the sale after the discount of 45% will be $8.25.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A thing on special expenses 45% of the first cost. The first cost was $15.

Let the selling price of the item in the sale be 'x'.

The amount of discount is given as,

⇒ 0.45 × $15

⇒ $6.75

The selling price of the item in the sale is calculated as,

x = $15 - $6.75

x = $8.25

The selling cost of the thing in the deal after the rebate of 45% will be $8.25.

More about the percentage link is given below.

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