The following table gives the number of people picking strawberries in a field and the corresponding number of hours that those people worked picking strawberries. Graph the ordered pairs from the table

Answer:

27x^3+48x^2-99x

Step-by-step explanation:

The total volume of the two boxes is 27x³ + 48x² - 99x option (C) 27x³ + 48x² - 99x is correct.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

It is given that:

Two rectangular box are shown in the picture.

The volume of the rectangular box = length×width×height

The total volume of the two boxes = (x+3)(x+5)3x + 2x(3x+9)(4x-8)

After simplification:

= 3x³ + 24x² + 45x + 24x³ + 24x² - 144x

= 27x³ + 48x² - 99x

Thus, the total volume of the two boxes is 27x³ + 48x² - 99x option (C) 27x³ + 48x² - 99x is correct.

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Answer:

35

Step-by-step explanation:

Answer:

-2 = p

Step-by-step explanation:

-24-8p=4p

Add 8p to each side

-24-8p+8p=4p+8p

-24 = 12p

Divide each side by 12

-24/12 = 12p/12

-2 = p

Answer:

Step-by-step explanation:

Volume of the shipping container = Lengt * Breadth * Height

Given

Length = 4x² + 3x

Breadth = x² – 8

Height = 6x +15

Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)

( 4x² + 3x)( x² - 8)  = 4x⁴-32x²+3x³-24x

( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x

(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x

Collect like terms

( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x

Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x

Answer:

V = 24x^5+78x^4-147x^3-624x^2-360x

Answer:

Options (A) and (B)

Step-by-step explanation:

Question (9)

Let a number = x

45% increase in the given number will be = x + (45% of x)

                                                                     = x + [tex]\frac{45x}{100}[/tex]

                                                                     = x + 0.45x

                                                                     = x(1 + 0.45)

                                                                     = 1.45x

Therefore, there will be the two expressions,

A). 1.45x

B). x + 0.45x

Options (A) and (B) will be the correct options.

Answer:

I believe it is C

Step-by-step explanation:

First, I decided to use the proportion method. (Before I use this method, let's change [tex]\frac{3}{8}[/tex] into a decimal. So, that will be 0.375.

We know that we can cross multiply in a proportion

[tex]\frac{0.375 cups}{12 cupcakes} = \frac{2cups}{x}[/tex]

0.375x = 24

x = 64

round to tens

60

The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.

A proportion is an equation in which two ratios are set equal to each other.

Now, it is given that,

12 such cupcakes requires ⅜ of a cup of cocoa

So ratio, cup of cocoa : cupcakes = ⅜ : 12

⇒  cup of cocoa / cupcakes = ⅜ / 12

Now, let x be  the number of cupcakes that he could make if he has 2 cups of cocoa

So ratio,cups of cocoa : number of cupcakes = 2 : x

Hence,By proportionality we get,

cup of cocoa : cupcakes = cup of cocoa : cupcakes

⅜ : 12 = 2 : x

⅜ / 12 = 2 / x

⇒ 0.375/12 = 2 / x

⇒ x = (2x12)/0.375

⇒ x = 24/0.375

⇒ x = 64

hence it is closest  to the number 60.

So,The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.

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Answer:

8

Step-by-step explanation:

the anwser is you use the formal

Answer:

1

Step-by-step explanation:

Answer:

648

Step-by-step explanation:

here u go

Answer:

648

Step-by-step explanation:

24 x 27 = 648

Gradient = slope

Gradient = 4

Answer:

If it was 9:38 it would be 10:08

Step-by-step explanation:

Adding 30 to 38 would be 68. And since an hour is only 60 minuets long you would change the hour to 10 and add the 8 minuets.

Hope this helped! :))

Answer:

It would be 125 spread in each square yard.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Explanation:

Use the extended form of the perfect square trinomial identity:

a4 + 2a2b2 + b4 = (a2 + b2)2.

a2 = x2 and b2 = 32

x4 + 18x2 + 81 = (x2)2 + (2)(x2)(32) + (32)2

= (x2)2 + 2(32)x2 + (32)2

= (x2 + 32)2

= (x2 + 9)2

The missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial:

= x⁴ + 18x² + 81

Let u = x²

[tex]\rm =u^2+18u+81[/tex]

or

= (x²)² + 2(9)x² + (3²)²

= (u + 9)²

= (x² + 9)²  or

= (x² + 9)(x² + 9)

Thus, the missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.

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Answer:

[tex]s = -\frac{3}{2}[/tex]

Step-by-step explanation:

Solve for the value of [tex]s[/tex] :

[tex]0.5s + 1 = 7 + 4.5s[/tex]

-Combine both [tex]0.5s[/tex] and [tex]4.5s[/tex] by subtracting [tex]0.5s[/tex] by [tex]4.5s[/tex] :

[tex]0.5s + 1 - 4.5s = 7 + 4.5s - 4.5s[/tex]

[tex]-4s + 1 = 7[/tex]

-Subtract [tex]1[/tex] to both sides:

[tex]-4s + 1 - 1 = 7 - 1[/tex]

[tex]-4s = 6[/tex]

-Divide both sides by [tex]-4[/tex] :

[tex]\frac{-4s}{-4} = \frac{6}{-4}[/tex]

[tex]s = -\frac{3}{2}[/tex]

So, the value of [tex]s[/tex] is [tex]-\frac{3}{2}[/tex].

Answer:

7/5

Step-by-step explanation:

What is 1.4 in fraction form? 7/5 is the fraction form of 1.4. 1.4 as a Fraction in simplest form to convert 1.4 to a fraction and simplify to the lowest form.

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

14/10 = 1.4

7 is half of 14

5 is half of 10

The simplest form of given number is  [tex]\frac{7}{5} [/tex].

Given number is, 1.4

Converted into fraction,  [tex]=\frac{14}{10} [/tex]

It is observed that, 2 is common in both numerator and denominator.

               [tex]\frac{14}{10} =\frac{2*7}{2*5}=\frac{7}{5} [/tex]

Hence, The simplest form of given number is  [tex]\frac{7}{5} [/tex].

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Answer:

It will be an open dot.

Step-by-step explanation:

By math textbook states that if a symbol is greater than or less than, it has an open dot.

If it has greater than or less than symbol with a line under it, that means it is a closed dot.

Hope this helps!

Answer:

$17

Step-by-step explanation:

Step 1:

20 : 100 = x : 85

Step 2:

100x = 1700

Answer:

x = 17

Hope This Helps :)

Answer:

$100= 20lbs

$1= (20/100)lbs

$85= 85*(20/100)lbs

= 85(1/5)lbs

= 17 lbs

Answer:

If the overall diagram is 54 and one section of that whole diagram is 31 all we have to do is subtract the overall to the one section to find the other section.

Step-by-step explanation:

So...

54-31=23

Answer:

[tex]\frac{31}{50}[/tex]

Step-by-step explanation:

First, find how many have an Atlantic or Pacific coastline:

14 + 5

= 19

Then, subtract this from 50:

50 - 19

= 31

This means 31 out of the 50 states have neither coastlines:

This is [tex]\frac{31}{50}[/tex] as a fraction

Answer:

x=45

Step-by-step explanation:

I did it and got it right

Answer:

C -2 < x ≤ 1

Step-by-step explanation:

-5< 4x +3 ≤ 7

Subtract 3 from all sides

-5-3< 4x +3-3 ≤ 7-3

-8< 4x  ≤ 4

Divide all sides by 4

-8/4< 4x/4  ≤ 4/4

-2 < x ≤ 1

Answer:y = 1/2x-1

Step-by-step explanation:i got it correct

Answer:

y = - (1/2) x + 1

Answer:

Step-by-step explanation:

let length=l

breadth=b

l×b=660

2(l+b)=104

l+b=104/2=52

b=52-l

l×(52-l)=660

52l-l²=660

l²-52l+660=0

l²-22l-30l+660=0

l(l-22)-30(l-22)=0

(l-22)(l-30)=0

l=22,30

when l=22,b=52-22=30

when l=30,b=52-30=22

l>b

so l=30m

b=22m

Answer:

W = 22 m

L = 30 m

Step-by-step explanation:

given:

area is 660square metre and perimeter is 104metre​

find:

the length and breadth of a rectangular plot

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

1. area of rectangle (A) = L x W

2. Perimeter of a rectangle (P) = 2L + 2W

where:

A = 660 m²

P = 104 m

solve for L using formula 1.

A = L x W

660 = L x W

L =  660 / W

solve W using formula 2 and use L = 660 / W

P = 2L + 2W

104 = 2 (660)  +  2W

               W

104W = 1320 + 2 W²

-2W² + 104W = 1320

solve W using quadratic equation:

W = 22 m; ( 30 m = L)

plugin W=22 into L =  660 / W to solve L:

L = 660 / 22

L = 30 m

Answer:

length= 84

width= 36

Answer:

3a^2b - 2ab^2 + 8ab

Step-by-step explanation:

just add the like terms

a^b + 2a^2b - ab^2 -ab^2 + 8ab

3a^2b - 2ab^2 + 8ab

The ​addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be 3a²b - 2ab² + 8ab.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expressions are given below.

a²b - ab² + 8ab and 2a²b - ab²

The ​addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be given as,

⇒ a²b - ab² + 8ab + 2a²b - ab²

⇒ 3a²b - 2ab² + 8ab

The ​addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be 3a²b - 2ab² + 8ab.

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Answer: I think the answer is false

Answer:

the correct answer is true

Step-by-step explanation: