What number is 15% of 60

drek231 [11]

To determine whether 10a-10c are true or false, you first need to know how to find the volume of the shoebox and the volume of the crate.

The equation for volume is l × w × h where l is the length, w is the width, and h is the height.

So, the volume of the shoebox is

V = l × w × h
V = 12 × 6 × 4
V = 288 cubic inches.

To find the volume of the crate, we simply multiply the volume of one shoebox by 20, as the crate holds 20 shoeboxes.

228 × 20 = 4560 cubic inches.

10a. Each shoebox has a volume of 22 cubic inches. False. The volume is 228 cubic inches.

10b. Each crate has a volume of about 440 cubic inches. False. The volume of each crate is 4560 cubic inches.

10c. If the crate could hold 27 shoeboxes, the volume of the crate would be about 7,776 cubic inches.

For this one, let's do some more math. Since we figured out the volume of a crate holding 20 shoeboxes is 4560 cubic inches, let's do the same thing to find the volume of a crate holding 27 shoeboxes.

228 × 27 = 6156 cubic inches.

False. The volume of a crate holding 27 shoeboxes would be 6156 cubic inches.

11 part A:

Each term above describes the term below, but the term below doesn't necessarily describe the term above.

The choice of terms is : trapezoid, triangle, rhombus, parallelogram

Before we do anything else, let's define our terms, as well as the ones used in the diagram.

Trapezoid - A four sided shape with a pair opposite parallel sides.
Triangle - A shape with three sides.
Rhombus - A shape with four equal straight sides.
Parallelogram - A quadrilateral with two sets of parallel sides.
Quadrilateral - A four-sided shape with four angles.
Square - A four-sided shape with all four sides the same length, and all four angles are the same size.

The first term is quadrilateral. From this, we can determine that the term triangle won't be used at all, as it's a three-sided figure, whereas a quadrilateral is a four-sided figure. This leaves trapezoid, rhombus, and parallelogram as our terms.

A trapezoid is a quadrilateral, because it has four sides, but it can't be a rhombus or parallelogram, so it goes in the first open box.

A parallelogram is a trapezoid, because it has a pair of opposite parallel sides, but it can't be a rhombus, because it doesn't necessarily have all equal sides, so it goes in the second open box.

A rhombus is a parallelogram, because it has two sets of parallel sides, and goes in the third open box.

So, from top box to bottom box, the order the term go is
Quadrilateral
Trapezoid
Parallelogram
Rhombus
Square

3 0

3 years ago

Lesson 7.4 Identify Parts of Expressions Please help!!!!!!!

bulgar [2K]

1.)
The term (2+8) is the amount of fabric Ali bought. You know this because in the problem, it says that she buys “2 white pieces and 8 blue pieces”

2.)
The terms of the equation are
k and 2f

These are the terms because they are separated by the addition sign

3.) $36
You would first find rate per sand which. To find this, you would do:
9/2
This will give you
4.5. Now, you multiply that by 4. That gives you 36.

4.) The skateboard costs 150

How?
30 is 20% of the price. 20x5=100. So, to find the total amount, you would multiply 30 by 150.

5.) About 50 miles an hour.
You always put distance over time. If you do:
400/8
You get the average rate of 50

6.) 5n

How?
Well, there are five cents in every nickel. So, to find out how many pennies, you would multiply the amount of nickels by 5.

Have a good night :)

5 0

3 years ago

Find the point on the parabola y^2 = 4x that is closest to the point (2, 8).

guapka [62]

Answer:

(4, 4)

Step-by-step explanation:

There are a couple of ways to go at this:

Write an expression for the distance from a point on the parabola to the given point, then differentiate that and set the derivative to zero.
Find the equation of a normal line to the parabola that goes through the given point.

1. The distance formula tells us for some point (x, y) on the parabola, the distance d satisfies ...

... d² = (x -2)² +(y -8)² . . . . . . . the y in this equation is a function of x

Differentiating with respect to x and setting dd/dx=0, we have ...

... 2d(dd/dx) = 0 = 2(x -2) +2(y -8)(dy/dx)

We can factor 2 from this to get

... 0 = x -2 +(y -8)(dy/dx)

Differentiating the parabola's equation, we find ...

... 2y(dy/dx) = 4

... dy/dx = 2/y

Substituting for x (=y²/4) and dy/dx into our derivative equation above, we get

... 0 = y²/4 -2 +(y -8)(2/y) = y²/4 -16/y

... 64 = y³ . . . . . . multiply by 4y, add 64

... 4 = y . . . . . . . . cube root

... y²/4 = 16/4 = x = 4

_____

2. The derivative above tells us the slope at point (x, y) on the parabola is ...

... dy/dx = 2/y

Then the slope of the normal line at that point is ...

... -1/(dy/dx) = -y/2

The normal line through the point (2, 8) will have equation (in point-slope form) ...

... y - 8 = (-y/2)(x -2)

Substituting for x using the equation of the parabola, we get

... y - 8 = (-y/2)(y²/4 -2)

Multiplying by 8 gives ...

... 8y -64 = -y³ +8y

... y³ = 64 . . . . subtract 8y, multiply by -1

... y = 4 . . . . . . cube root

... x = y²/4 = 4

The point on the parabola that is closest to the point (2, 8) is (4, 4).

4 0

3 years ago

Translate the sentence into an inequality. Twice x is less than or equal to - 18.

Sergio039 [100]

Answer:

$2x\leq -18$

Step-by-step explanation:

$2x \leq -18$

the first side is

twice x

2 times x

the symbol means less than or equal to

and finally we have the -18

5 0

3 years ago

Read 2 more answers

Sixty dash fivesixty-five percent of households say they would feel secure if they had? $50,000 in savings. you randomly select

Effectus [21]

To solve the following problems, we use the binomial probability equation:

P (r) = [n!/(n-r)! r!] p^r q^(n-r)

where,

n = total number of households = 8

r = number of sample

p = probability of success = 65% = 0.65

q = probability of failure = 0.35

A. r = 5

P (r=5) = [8! / 3! 5!] 0.65^5 0.35^3

P (r=5) = 0.28

B. r >5

P (r=6) = [8! / 2! 6!] 0.65^6 0.35^2

P (r=6) = 0.26

P (r=7) = [8! / 1! 7!] 0.65^7 0.35^1

P (r=7) = 0.14

P (r=8) = [8! / 0! 8!] 0.65^8 0.35^0

P (r=8) = 0.03

Therefore total is:

P (r>5) = 0.26 + 0.14 + 0.03 = 0.43

C. r ≤ 5

P (r ≤ 5) = 1 - P (r>5)

P (r ≤ 5) = 1 – 0.43

P (r ≤ 5) = 0.57

3 0

3 years ago