Water has a density of about 0.0361 pounds/cubic inch. You might know that wood floats on water. What can you conclude about the densities of objects that float and the densities of objects that do not?

The cost of 4 notebooks should be 24.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.

Given that,

Price of 2 notebooks = $12

Price of 3 notebooks = $18

And the price of 5 notebooks = $30

To determine the price of 4 notebooks,

First find the price of 1 notebook = 12 / 2 = 6

The price of 4 notebooks = 6 x 4 = 24

The required price of 4 notebooks is $24.

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Answer:

the answer is x=3

Step-by-step explanation:

divide by 9 on each side of = sign

9/9 and 27/9=3

Answer: 3/2

Step-by-step explanation:

I just did it on oddyseyware. Trust me and believe me its 3/2.

Answer:

Step-by-step explanation:

f(x) =-3x - 7

f(g(x)) = -3*g(x) - 7

f(g(x)) = -3*x^4 - 7

bottom left.

ANSWER

[tex](f\circ g)(x) = - 3 {x}^{4} - 7[/tex]

EXPLANATION

It was given that;

[tex]f(x) = - 3x - 7[/tex]

and

[tex]g(x) = {x}^{4} [/tex]

We want to find the composite function,

[tex](f\circ g)(x) = f(g(x))[/tex]

[tex](f\circ g)(x) = f( {x}^{4} )[/tex]

We plug in x⁴ into f(x)=-3x-7 to obtain:

[tex](f\circ g)(x) = - 3 {x}^{4} - 7[/tex]

Answer:

{CM} {CD} {CW} {MC} {MD} {MW} {DC} {DM} {DW} {WC} {WM} {WD}

Step-by-step explanation:

The sample space is all the possible results that can be obtained from a randomized experiment.

In this case, the experiment is to select two chocolates out of 4.

If we have 4 chocolates of different types {C, M, D, W}

and we select 2, then (taking into account the order in which she eats the chocolates} the possible results are:

{CM} {CD} {CW} {MC} {MD} {MW} {DC} {DM} {DW} {WC} {WM} {WD}

There are 12 possible results for this experiment.

Answer:

x=3

Step-by-step explanation:

93x-92x=2+1

x=3

Answer:

x=3

Step-by-step explanation:

i did in edge right now

Answer:

= 2√3 m  or 3.464

Step-by-step explanation:

Using the sine,  

sin(60”)  = x / 4   multiply both sides by 4

4 sin (60°)   = x

4 * √3 / 2  =  x  

x = 2√3 m  

slant height  =2√3 m

Answer: The slant height is 2√3 meters.

Step-by-step explanation: The side adjacent to the 60 degree angle in the right triangle consisting of x, the lateral edge, and half of the base edge is half of the base edge, 2m. The side opposite of that angle is x. So basically you have tan(60°) = x/(2m)*tan(60°) = x = 2√3m. So thus the slant height is 2√3 meters.

Answer:

15. 31.42 cm^2

16. 25.73 m^2

17. Fly A

Step-by-step explanation:

15.

The blue shaded region is a sector of a circle. The formula for area of sector = [tex]\frac{\theta}{360}*\pi r^2[/tex]

Where  [tex]\theta[/tex] is the central angle and r is the radius

For the diagram, we have 80° arc and 180° arc as the "white" area. Since the whole circle is 360°, the shaded region arc is 360 - (80+180) = 100°. this is  [tex]\theta[/tex] and the radius is 6.

Plugging in it in the formula we get:

Area of shaded region = [tex]\frac{\theta}{360}*\pi r^2\\=\frac{100}{360}*\pi(6)^2\\=31.42[/tex] cm^2

16.

We can say that area of shaded region = area of parallelogram - area of circle

Now,

Area of Parallelogram = b * h

where

b is the base (it is 6+3=9) and h is the height (diameter of the circle is the height = 6)

Area of Parallelogram = 9 * 6 = 54

Area of Circle = πr^2   where r is the radius, which is 6/2=3

Area of Circle = π(3)^2 = 9π

Now,

Area of Shaded Region = 54 - 9π = 25.73 m^2

17.

For the first figure (rectangle) we could let the height be h (since not given). So area of yellow region would be 4h (area of rectangle is base * height)

And area of whole ruler would be 8*h = 8h

So probability of landing in yellow region would be  [tex]\frac{4h}{8h}=\frac{1}{2}=0.5[/tex]

For 2nd figure, the yellow region has area of π(2)^2 = 4π ( radius of yellow circle is 2 and area of circle is πr^2)

Area of whole circle is  π(4)^2 = 16π

So probability of landing in yellow region would be  [tex]\frac{4\pi}{16\pi}=\frac{1}{4}=0.25[/tex]

Hence, Fly A is more likely to land in a yellow region.

I believe the estimate should be higher

Answer:

A. No, the estimate should be higher.

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

Since they are vertical angles, the angles are equal. Set them equal and solve for x.

5x + 10 = 7x - 12               Subtract 5x from both sides

10 = 2x - 12                       Add 12 to both sides

22 = 2x                             Divide by 2

11 = x

Answer:

-3.5

Step-by-step explanation:

Remember that mean is the average.

Add all 4 numbers together and divide them by 4.

-9 + -8 + 4 + -1 = -14

-14/4 = -3.5

3 is not a perfect / 100 percent square.

If we simplify we get 1.73205081. That is in its simplest form.  

Answer:

Debit card

Step-by-step explanation:

Got it right on TTM

Answer:

Debit card

Step-by-step explanation:

Hope this helps :)

Answer:

A. Nothing, Paul is correct

Step-by-step explanation:

There are 6 numbers on a die.

The probability of rolling a 6 would be 1/6 for each time you roll the die.

Multiply the number of rolls by 1/6.

30 rolls x 1/6 probability = 5 times.

The answer is B. 5

Step-by-step explanation:

Complementary means the total is 90 degrees.

So 90=x+3x+10

90=4x+10

80=4x

x=20 degrees

Answer:

x=20 degrees

hope this helped! :)

Answer:

450

Step-by-step explanation:

1 centimeter is equivalent to 10 millimeters . Therefore, 45 centimeters will be equivalent to;

45*10 = 450 millimeters

Answer:

450 mm

Step-by-step explanation:

Given in the question,

the length of an average cat's body = 45 cm

To find,

number of mm which are equivalent to 45 cm

We know that

1 cm = 10 mm

45 cm = 45 x 10 mm

           = 450 mm

Hence, there are 450 mm in 45 cm.

Answer:

2,5 appeared LESS

Step-by-step explanation:

the theoretical probability in this case would be 5 because Micah rolled the number cube 30 times and there is 6 total outcomes of the number cube.

To figure out the theoretical probability:

30 divided by 6

= 5

So every number that appeared less than 5 is your answer    

I believe the answer is 2,5

Answer:

x = 15 or x = -17

Step-by-step explanation:

It is given that,

(x + 1)² = 16

To solve the quadratic equation

The give equation is

(x + 1)² = 16    ----(1)

From equation (1) we can see that it is a quadratic equation

So we can take square root fro both sides we get

√[(x + 1)²] =√16

x + 1 = ±16

x + 1 = 16   or x + 1 = -16

x = 16 - 1 = 15   or x = -16 - 1 = -17

Therefore x = 15 or x = -17

Answer:

[tex]4q^2 + 12q + 9[/tex]

Step-by-step explanation:

To simplify the expression, use the distributive property to write the expanded form of the quadratic.

[tex](2q+3)^2\\(2q+3)(2q+3)\\4q^2 + 6q + 6q + 9\\4q^2 + 12q +9[/tex]

Answer: 1607.68units^3

Step-by-step explanation:

Answer:

1607.68

Step-by-step explanation:

[tex]\bf \textit{volume of a right-circular cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=8 \end{cases}\implies V=\pi (10)^2(8)\implies V=800\pi \\\\[-0.35em] ~\dotfill\\\\ ~\hfill V\approx 2513.27~\hfill[/tex]

Answer:

765

Step-by-step explanation:

Given in the question,

number of people to be choose with at least 5 women in it = 8

There are 2 ways to choose 8 members

1)

5 women

(6C5)(10C3)

6x120

720

2)

6 women

(6C6)(10C2)

1x45

45

Our final answer is 720 + 45 = 765 ways

Formula to calculate

nCr = n! / r!(n-r)!

The selection of members of the committee is an illustration of combination.

The number of ways of selection is 765

The given parameters are:

[tex]\mathbf{Men = 10}[/tex]

[tex]\mathbf{Women = 6}[/tex]

At least 5 women means that:

So, the possible selection is:

[tex]\mathbf{Selection = ^6C_5 \times ^{10}C_3 + ^6C_6 \times ^{10}C_2}[/tex]

Apply combination formula

[tex]\mathbf{Selection = \frac{6!}{5!1!} \times \frac{10!}{7!3!} + \frac{6!}{6!0!} \times \frac{10!}{8!2!}}[/tex]

[tex]\mathbf{Selection = 6 \times 120 + 1 \times 45}[/tex]

[tex]\mathbf{Selection = 720 + 45}[/tex]

[tex]\mathbf{Selection = 765}[/tex]

Hence, the number of ways of selection is 765

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To solve the equation 3/8c -2 = 3/2c -12 for c, first clear the fractions by multiplying the entire equation by 8. Then, use algebraic operations to isolate and solve for c, yielding the solution c = 80/9 or about 8.89.

The given algebraic equation is 3/8 c−2= 3/2 c−12. Our goal is to solve for c. Here's how:

So, the solution to the equation 3/8c - 2 = 3/2c -12 is c = 80/9 or about 8.89.

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To solve the equation:3/8 c−2= 3/2 c−1. We can solve the equation by combining like terms, eliminating fraction denominators, and distributing.

After simplifying,80/9.

Let's solve the equation:3/8 c−2= 3/2 c−1.

We can solve the equation by combining like terms, eliminating fraction denominators, and distributing.

Steps to solve:

1. Combine multiplied terms into a single fraction:

3/8 c−2= 3/2 c−12

2. Find common denominator:

3/8 c + (8/8) −2= 3/2 c−12

3. Combine multiplied terms into a single fraction:

3/8 c + (8 *(−2) /8) −2= 3/2 c−12

4. Combine fractions with common denominator:

(3c + 8 *(−2) /8) = 3/2 c−12

5. Multiply the numbers:

(3c -16) /8) = 3/2 c−12

6.Combine multiplied terms into a single fraction:

(3c -16) /8) = 3/2 c−12

7. Find common denominator:

(3c -16) /8) = 3/2 c +(2/2) (-12)

8.Combine multiplied terms into a single fraction:

(3c -16) /8) = 3/2 c +(2*-12)/2

9.Multiply the numbers:

(3c -16) /8) =(3c -24) /2)

10. Eliminate fraction denominators:

8*(3c -16) /8) = 8*(3c -24) /2)

11. Cancel multiplied terms that are in the denominator:

3c−16=4(3c−24)

12. Distribute:

3c−16=12c−96

13. Add/subtract to both sides:

3c−16+16=12c−96+16

14. Simplify:

3c=12c−80

15. Add/subtract to both sides:

3c−12c=12c−80−12c

16. Simplify:

−9c=−80

17.Divide both sides of the equation by the same factor:

−9c/-9=−80/-9

18.Simplify:

c=80/9.

Answer:

first we must times 7.5 into 8 to find out what the answer is,

the answer is 60

Answer:

c

Step-by-step explanation:

The solution is

13

12

π. To calculate the arc length use the following formula:

Arc Length=

m(ARC)

360

· 2πr

Answer:the answer is b

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Answer:

1,2,3,4,6,12

Step-by-step explanation:

all the number which can divide 12 is factor of 12. so 1,2,3,4,6,12

Answer:

Are needed [tex]863.5\ in^{2}[/tex] of blue tile

Step-by-step explanation:

we know that

To find how much blue tile do you need, subtract the area of the smaller circle from the area of the large circle

step 1

Find the radius of the large circle

The circumference of the circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]C=113.097\ in[/tex]

substitute and solve for r

[tex]113.097=2\pi r[/tex]

[tex]r=113.097/(2\pi)[/tex]

assume

[tex]\pi=3.14[/tex]

[tex]r=113.097/(2(3.14))=18\ in[/tex]

step 2

Find the area of the large circle

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=18\ in[/tex]

substitute

[tex]A=\pi (18)^{2}=324\pi\ in^{2}[/tex]

step 3

Find the area of the smaller circle

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=7\ in[/tex]

substitute

[tex]A=\pi (7)^{2}=49\pi\ in^{2}[/tex]

step 4

Find the difference of the areas

[tex]324\pi\ in^{2}-49\pi\ in^{2}=275\pi\ in^{2}[/tex]

assume

[tex]\pi=3.14[/tex]

[tex]275(3.14)=863.5\ in^{2}[/tex]

Answer:

Y = mX + b

Step-by-step explanation:

Equation for a line:

Y = mX + b

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