# Holly checked her answer to a division problem by estimating the quotient. Which is the best estimation of the quotient?23.564 divided by 5.974567I need help quickly.

Explanation
Quotient=division
23.564/5.97=3.947
3.947=4

## Related Questions

Simplify 3-8 divided by 3-2

The simplified result of the expression  3-8 divided by 3-2 is -5 .

Let's simplify the expression step by step :

Given expression: (3 - 8) / (3 - 2)

Step 1: Evaluate the numerator and denominator separately:

A fraction is considered to be simplified when it is expressed in the lowest term. That means the only common divisor between the numerator and denominator is .

Numerator: 3 - 8 = -5

Denominator: 3 - 2 = 1

Step 2: Divide the numerator by the denominator:

-5 / 1 = -5

So, the simplified result of the expression is -5 .

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-5

Step-by-step explanation:

Sharon has a new beaded necklace. 72 out of the 80 beads on the necklace are blue. Whatpercentage of beads on Sharon's necklace are blue?

90%

Step-by-step explanation:

Step 1:

72/80 = x /100         Proportion

Step 2:

80x = 7200        Multiply

Step 3:

x = 7200 ÷ 80       Divide

90%

Hope This Helps :)

Sharon bought a necklace with 90% blue beads.

Step-by-step explanation:

We are given that Sharon's necklace has 80 beads. We are also given that of those 80 beads, 72 of them are blue.

Therefore, we can set up a ratio of blue beads to total beads in order to find out the relationship.

Then, using the fraction we receive as a result, we can convert this to a decimal.

After we complete this calculation, we can multiply our decimal by 100 in order to obtain the relationship in percentage form.

What is the surface area of the pyramid 8in 8 in 6in.

mhbdjhdfvvbjd

Step-by-step explanation:

hbgjtrhkbgb

384 inches

Step-by-step explanation:

A=lwh

The Range of both functions will be ?A)the set of natural numbers
B)the set of integers
C)all real numbers
D)the set of whole numbers
E)the set of rational numbers

bb

b

b

b

b

b

b

b

b

b

b

b

b

b

it is b

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Raquel kicks a football. The height in feet canbe modeled by the equation
h(x) = -16x2 + 64x.
How long in seconds before the ball reaches
its maximum height? Show work.
What is the maximum height of the ball? Show work.

Step-by-step explanation:

16x2 + 64x.

0

Step-by-step explanation:

i agree with bigmack0

A rectangular box without a lid is to be made from 48 m2 of cardboard. Find the maximum volume of such a box. SOLUTION We let x, y, and z to be the length, width, and height, respectively, of the box in meters. Then we wish to maximize V

The maximum volume of such box is 32m^3

V = x×y×z = 32 m^3

Step-by-step explanation:

Given;

Total surface area S = 48m^2

Volume of a rectangular box V = length×width×height

V = xyz ......1

Total surface area of a rectangular box without a lid is

S = xy + 2xz + 2yz = 48 .....2

To be able to maximize the volume, we need to reduce the number of variables.

Let assume the rectangular box has a square base,that means; length = width

x = y

Substituting y with x in equation 1 and 2;

V = x^2(z) ....3

x^2 + 4xz = 48 .....4

Making z the subject of formula in equation 4

4xz = 48 - x^2

z = (48 - x^2)/4x .......5

To be able to maximize V, we need to reduce the number of variables to 1, by substituting equation 5 into equation 3

V = x^2 × (48 - x^2)/4x

V = (48x - x^3)/4

differentiating V with respect to x;

V' = (48 - 3x^2)/4

At the maximum point V' = 0

V' = (48 - 3x^2)/4 = 0

Solving for x;

3x^2 = 48

x = √(48/3)

x = √(16)

x = 4

Since x = y

y = 4

From equation 5;

z = (48 - x^2)/4x

z = (48 - 4^2)/4(4)

z = 32/16

z = 2

The maximum volume can be derived by substituting x,y,z into equation 1;

V = xyz = 4×4×2 = 32 m^3