Mr. Addison is building a sandbox shaped like a rectangular prism. The sandbox is 9ft long, 5ft wide, and 2.5 ft deep. How many cubic ft of sand will the sandbox hold?

The inputs and outputs for the given function g(x) = 3 - 8x is (-3, 27), (-1, 11), (0, 3), (1, 5) and (3, 21).

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that g(x) = 3 - 8x, hence:

When x = -3; g(-3) = 3 - 8(-3) = 27

When x = -1; g(-1) = 3 - 8(-1) = 11

When x = 0; g(0) = 3 - 8(0) = 3

When x = 1; g(1) = 3 - 8(1) = 5

When x = 3; g(3) = 3 - 8(3) = 21

The inputs and outputs for the given function g(x) = 3 - 8x is (-3, 27), (-1, 11), (0, 3), (1, 5) and (3, 21).

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Answer:

  (d)  9 ft²

Step-by-step explanation:

To find the excluded area for furniture, we can find the actual size of the door, then compute the area of the semicircle that it turns through. The door size will be the product of the drawing dimension and the scale factor relating the room to the drawing.

__

Room size and drawing size are proportional. This means ...

  door size / door drawing = room length / room drawing

  door size / (1.75 in) = (15 ft)/(11 in)

  door size = (15 ft)(1.75/11) = 105/44 ft ≈ 2.386 ft

__

The area of a circle with radius r is given by the formula ...

  A = πr²

Then the area of a semicircle (half a circle) with radius 2.386 ft will be ...

  A = 1/2π(2.386 ft)² ≈ 8.945 ft²

A good estimate of the furniture exclusion area is 9 ft².

_____

Additional comment

The scale factor is (15 ft)/(11 in) = 15/11 ft/in. Multiplying that by 7/4 in gives 105/44 ft.

Answer:

27.27%

Step-by-step explanation:

find the change in price

£11-£8=£3

percentage change=( (change in price)÷ (original price)) ×100%

(£3/£11) × 100%

=27.27%

Answer:

C. (6, 3)

Step-by-step explanation:

Use the midpoint formula!

Midpoint Formula

[tex]\text{midpoint} = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]

x₁, x₂ ... x-coordinates of the endpoints

y₁, y₂ ... y-coordinates of the endpoints

Given endpoints:

(8, 0)

(4, 6)

Points are in form (x, y).

Now let's substitute the variables in the formula with our values.

[tex](\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]

[tex](\frac{8 + 4}{2}, \frac{0+ 6}{2})[/tex]

[tex](\frac{12}{2}, \frac{6}{2})[/tex]

[tex](6, 3)[/tex]

(6, 3) is our midpoint!

Answer:

3 terms

Step-by-step explanation:

6a is a term

3ab is a term

2 is a term

5 and shout out to the one above me :)

Step-by-step explanation:

|-2|+|3|

Distance means basically adding the 2 numbers with absolute value. Absolute value is making both numbers positive.

|-2|+|3| = 5

To check this, you add -2+5 and that is equivalent to 3.

Another way:

Another way is to to count the number of times you can skip on the number line just like I show in the image below.

Answer: Hope this help you!

5

Step-by-step explanation:

|-2|+|3|

Distance means basically adding the 2 numbers with absolute value. Absolute value is making both numbers positive.

|-2|+|3| = 5

To check this, you add -2+5 and that is equivalent to 3.

Another way:

Another way is to to count the number of times you can skip on the number line just like I show in the image below.

Brainliest?

Answer:

11320 is the answer .hope i help you

Answer:

41

Step-by-step explanation:

3(4)²-2(4)+1

48-8+1

41

Answer:

y = 39

:. ? = 39

Step-by-step explanation:

let y represent ?

while x = 4

:. 3x² – 2x + 1 = y

3(4)² – 2(4) + 1 = y

3(16) – 8 + 1 = y

48 – 9 = y

39=y

Thats a semi circle

Area

Answer:

f = 144 degrees

Step-by-step explanation:

Since there are 6 angles (a,b,c,d,e,f), this means that it is a 6-sided polygon. The formula to find the total sum of interior angles is (n-2)*180, n being the amount of sides.
Let's plug it into the formula: (6-2)*180 = 720
This means that a+b+c+d+e+f = 720, but we can substitute (a+b+c+d+e) for 576.
576+f=720
f = 144 degrees

Answer:

Step-by-step explanation:

Simplify step by step:

2( x+7 ) +3 ( x+1 )

We'll distribute:

= ( 2 ) ( x )  +  ( 2 ) ( 7 ) + ( 3 ) ( x ) + ( 3 ) ( 1 )

= 2x + 14  + 3x + 3

We'll Combine Like Terms:

= 2x + 14 + 3x + 3

= ( 2x + 3x ) + ( 14 + 3 )

= 5x + 17 Answer!

Answer:

Step by step Explanation:

2(x+7) +3(x+1)

Open the brackets (multiply outside number by the numbers and letters inside the brackets)

2x + 14 + 3x+ 3

Collect like terms (collect ones that look alike in one side )

2x + 3x + 14 + 3

Add the like terms (add the ones that look alike)

= 5x + 17 (Answer)

I hope you understand it, it's really simple just work step by step.

Good luck ✅.

The volume of the rectangular aquarium prism will be 51840 cubic inches.

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

Your teacher just bought a new aquarium that is a rectangular prism.

If an aquarium has a length of 48 inches, a width of 36 inches, and a height of 30 inches.

Then the volume of the aquarium will be

The volume is given as

Volume = Length x Width x Height

Then we have

Volume = 48 x 36 x 30

Volume = 51840 cubic inches

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The number of teams that can be formed is 10

The given parameters are:

The number of teams is calculated as:

[tex]Team = ^nC_r[/tex]

So, we have:

[tex]Team = ^5C_2[/tex]

Apply the combination formula

Team = 10

Hence, the number of teams is 10

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Answer:

look above

Step-by-step explanation:

hope it helps

Answer:

692703

816903

496307

816309

903618

Step-by-step explanation:

With even and odd digits alternating, and difference greater than one, then the last 2 digits can only be:

03, 05, 07, 09, 14, 16, 18, 25, 27, 29, 30, 36, 38, 41, 47, 49, ... any higher and we can't make multiples for the first or second pair

Let's check for multiples where even and odd digits alternate and have difference greater than one:

03 has 27, 63, 69, 81

07 has 49, 63

09 has 27, 63, 81

18 has 36, 72, 90

25 has none

27 has none ...

No others work following the rules

When we try to make full numbers that follow all the rules we find only these:

692703

816903

496307

816309

903618

:)

B, because you would just assume the line continues forever on both sides.

The equation that is equivalent to the given equation is 4x = 68. No answer is correct

Equations are two expressions equated to each other. Given the equation below;

- 4(x - 5) + 8x = 91 - 3

Expand

-4x + 20. + 8x = 88

Collect the like terms

4x + 20 = 88
4x = 88 - 20

4x = 68

Hence the equation that is equivalent to the given equation is 4x = 68

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Step-by-step explanation:

the length is calculated via Pythagoras, as the coordinate differences and the direct connection (as the Hypotenuse) between both points create a right-angled triangle.

length² = (-4 - 2)² + (1 - -3)² = (-6)² + 4² = 36 + 16 = 52

length = sqrt(52) = sqrt(4×13) = 2×sqrt(13)

the midpoint is simply ((x1+x2)/2, (y1+y2)/2)

so,

(-4 + 2)/2 = -2/2 = -1

(1 + -3)/2 = -2/2 = -1

therefore, the midpoint is (-1, -1)

Answer:

the second one, but I'm not sure if I'm right

The last option c is right because each book selected represents the sample from the population of full library books.

We have given that,

Sahira chooses a random sample from the library and records the type of books in the chart below.

Type of Book      Number

Fantasy                 10

Literature              25

Children’s               4

Nonfiction             11

t, showing the distribution of the number of books in a library.

Also given that Sahira chooses a random sample from the library and records the type of books in the chart below.

Sahira's sample can be said to be representative because given that books are taken at random.  

So just because books literature more we cannot say it is not representative  II option is not right, because each book was not chosen uniquely, just random books were drawn.

A population is defined as a group of individuals of the same species living and interbreeding within a given area. Members of a population often rely on the same resources, are subject to similar environmental constraints, and depend on the availability of other members to persist over time.

The last option c is right because each book selected represents the sample from the population of full library books.

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The row of the input/output is incorrect is Row D.

Given equation: y = 2x - 3

For, row A:  

x = 3

y = 2x - 3

So,

y = 2(3) - 3

y = 3, which is correct

For row B:

x = 5

y = 2x - 3

So,

y = 2(5) - 3

y = 7, which is also correct.

For row C:

x = 7

y = 2x - 3

So,

y = 2(7) - 3

y = 11, which is also correct.

For, row D:

x = 10

y = 2x - 3

So, y = 2(10) - 3

y  = 17, which is incorrect.

Hence, the row of the input/output is incorrect is Row D.

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answer: 375

Step-by-step explanation:

panda bear caps: 25

they ordered 100 in total

25/100 = 1/4, a quarter

then you find a quarter of 1500

1500/4= 375

d

Step-by-step explanation:

Answer:

I think it's 160...

Step-by-step explanation:

1/4 of 1000 is 250

250

- 90

____

160

Answer:

Rational, Integer, Whole

Step-by-step explanation:

Answer:

x*1/5=60

5[x*1/5=60]

x=5*60

x=300

Step-by-step explanation:

-introduce the multiplicative inverse of 1/5 to the equation.

- 5*1/5 gives 1 on L.H.S

-Similarly 5*60 gives 300 on R.H.S

-finally x=300

Answer:

D. 105

Step-by-step explanation:

500-270, there's 230 total 2 head.

270-100 of one head, is 170 purple one head. 170+125 purple equals 295.

296 subtract from 500 total is 205 for total green.

205-100, 105 2 head.

Answer: 105

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

100%*42=4200

4200/40%=105

Answer:

a-x=y+25

b-35 minutes

c-nort possible

Step-by-step explanation:

can't explain due to the fact it will take 30m to type up