Expand each of the following expressions: 16(y-3), -5(14p+q), 7d(4c-9ef)

Complete question :

The dimensions of a right rectangular prism are 1.5 cm, 0.5 cm and 2. 25 cm.

What is the volume of the prism?

A. 0.75 cm

B. 1.6875 cm

C. 3.375 cm

D. 4.25 cm

Answer:

1.6875 cm³

Step-by-step explanation:

Given the dimension :

1.5 cm by 0.5 cm by 2.25 cm

The volume of a rectangular prism is given by :

Volume = Length * width * height

Volume, V = 1.5cm * 0.5cm * 2.25cm

Volume of prism = 1.6875 cm³

Hence, the volume of the rectangular prism is 1.6875 cm³

Answer:

12.55

Step-by-step explanation:

Add them so its 12.55

Answer:12.55

Step-by-step explanation:

All you have to do is add 0.25 +12.3

to get 12.55

hope this helps!

Answer:

I do believe the degree would be the exponents so for a I'm going to say 3 and 2.

Step-by-step explanation:

for b I'm going to say 3 for c I'm saying 4 and 2 and for d I'm going to say 2. I'm am rlly srry if this doesn't help or if it is wrong but I am hoping that it is right.

Answer:

3360ft^3

Step-by-step explanation:

Volume of each trailer = 20ft * 7ft *8ft

Volume of each trailer = 140*8

Volume of each trailer = 1120ft^3

Since there are 3 of such cargo;

Capacity of the trailer =3(1120)

Capacity of the trailer  = 3360ft^3

Hence the capacity of the trailer is 3360ft^3

Answer:

I can see black screen no photo for answering.

Answer:

30.5

Step-by-step explanation:

the answer is 30.5

Answer:

There are multiple ways of making a graph and multiple types of graphs there are

-bar graphs

-pie graphs

-and a line graph

Answer:

Klean company = 20 + 25h

Dustbuster cleaning services = 35h

Step-by-step explanation:

Let

Number of hours = h

Equation to calculate the cost of cleaning your house

Klean company = 20 + 25h

Dustbuster cleaning services = 35h

Find the number of hours when the cost of cleaning house by both companies will be equal

Klean company = Dustbuster cleaning services

20 + 25h = 35h

20 = 35h - 25h

20 = 10h

h = 20/10

h = 2 hours

Number of hours = h = 2 hours

Answer:

negative :)

Step-by-step explanation:

hope this helps

Answer:

its c

Step-by-step explanation:

Answer:

3/2 or 1.5

Step-by-step explanation:

trust me

Answer:

144° is the correct answer

sumpplement (angles that adds up to 180°)

: 180°-36°=144°

Step-by-step explanation:

% increase in the no of pupils = {(750-680)/680} × 100 = 10.3%

% increase in the no of teachers = {(38-37)/37} × 100 = 2.7%

Outer area:

= πr²h

= 3.14 × 5 × 5× 4

= 3.14 × 20 × 5

= 314

Inner area:

= πrh

= 3.14 × 2 × 2× 4

= 3.14 × 8 × 2

= 50.24

Area of tank

= outer area - inner area

= 314 - 50.24

= 263.76 ft²

Answer:

19

Step-by-step explanation:

Answer:

A) 19

Step-by-step explanation:

prime number: Any whole number which is greater than 1 and has only two factors that is 1 and the number itself

A) 19 => 1 × 19 correct

B) 26 => 1 × 26, 2 × 13 incorrect

C) 48 => 1 × 48, 2 × 24, 3 × 16, 4 × 12, 6 × 8  incorrect

D) 52 => 1 × 52, 2 × 26, 4 × 13 incorrect

The surface area of a sphere is 314.16 square units.

A sphere is a 3 dimensional figure, which is made up of all points in the space, which lie at a constant distance called the radius, from a fixed point called the center of the sphere.

For the given situation,

The radius of the sphere,r =  5 units

The formula of the surface area of a sphere is

[tex]A=4\pi r^{2}[/tex]

On substituting the above values,

⇒ [tex]A=4(3.14)(5)^{2}[/tex]                [∵ π = 3.14]

⇒ [tex]A=(4)(3.14)(25)[/tex]

⇒ [tex]A=314.16[/tex]

Hence we can conclude that the surface area of a sphere is 314.16 square units.

Learn more about sphere here

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Answer:

8

Step-by-step explanation:

Side AB corresponds to side DE, so they must be congruent.

2y + 20 = 36

2y = 16

y = 8

Answer: 8

P.S. I don't see how the answer can be anything but 8.

Answer:

8

Step-by-step explanation:

"y" literally needs to be 8. It clearly says attempt 1 out of 20 in your screen. You haven't tried it and it's not incorrect. Stop the cap.

Answer:

A≈1243.4ft²

Step-by-step explanation:

A=πr2

C=2πr

Solving forA

A=C2

4π=1252

4·π≈1243.39799ft²

Answer:

1243.4

Step-by-step explanation:

You can find the area of a circle from circumference with a few different formulae.

c = 2πr, or 19.89 * π = 125

Then, now that you know the radius, you can use the formula A = πr².

1243.4 = 395.79

Hope that this helps!

Answer:

187/40

Step-by-step explanation:

have a nice day!

The fraction for 4.675 is 187/40 or 4 27/40

Answer:

C) f(x)= 682 • 0.95^x

Step-by-step explanation:

The formula for Exponential Decrease is given as:

y = a(1 - r)^x

Where

y = f(x)

a = Initial size of the population = 682

r = Growth rate = 5% = 0.05

x = Time is years

Therefore, our equation can be written as:

f(x) = 682 × (1 - 0.05)^x

f(x) = 682 × (0.95)^x

Therefore, the exponential function that models this situation x months after the initial month is

option C)

f(x) = 682 • 0.95^x

Step-by-step explanation:

your basically finding the area witch is b*h so for 3.(im not really sure so don't fully trust me on three lol) 6×8=48mm

then on 4. it's 10×13=130mi

Answer:

c

Step-by-step explanation:

cvvvbbnh

Answer:

1. D

2.C

3.D

4.D

5.C

6.A

7.B

Answer:

B

Step-by-step explanation:

For the given situation, system of equations is represented by

3x + 4y = 4.25

5x + 2y = 4.75

"A system of equations is a finite set of equations for which we find the common solution."

According to question,

x represents number of apples

y represents number of oranges.

Two situations are given for which we need to find out which system of equations it represents.

Situation 1 : Thomas paid $4.25 for the three apples and four oranges , which can be represented by equation:

3x + 4y = 4.25

Situation 2: Casey paid $4.75 for five apples and two oranges, which can be represented by equation:

5x + 2y = 4.75

Hence we can conclude that Option B is correct.

Learn more about system of equations here

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Answer:

56.25%

Step-by-step explanation:

Answers:  

============================================================

Explanation:

Part (a)

A regular triangular pyramid, aka regular tetrahedron, has all four triangles that are identical copies of one another. They are congruent triangles. This will apply to part (b) as well.

To find the area of one of the triangles, we'll use the formula

A = 0.25*sqrt(3)*x^2

where x is the side length. This formula applies to equilateral triangles only.

In this case, x = 20, so

A = 0.25*sqrt(3)*x^2

A = 0.25*sqrt(3)*20^2

A = 173.20508 approximately

That's the area of one triangle, but there are four total, so the entire area is about 4*173.20508 = 692.82032 which rounds to 693 sq cm.

The units "sq cm" can be written as "cm^2".

----------------------------

Part (b)

We'll use the same idea as part (a). But the formula to find the area of one triangle is much simpler.

The area of one of the triangles is A = 0.5*base*height = 0.5*6*4 = 12 sq cm.

So the area of all four triangles combined is 4*12 = 48 sq cm

This area is exact.

The area of each 2D flat net corresponds exactly to the surface area of each 3D pyramid. This is because we can cut the figure out and fold along the lines to form the 3D shapes.

Answer:

Step-by-step explanation:

81^(1/4)=3