A rectangular piece of metal is 20 in longer than it is wide Squares with sides 4 in long are cut from the four comers and the flaps are folded upward to form an open
box. If the volume of the box is 1354 in what were the original dimensions of the piece of metal?
What is the original width? in

Answer: 110

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the sign of the product of 15 negative numbers will be negative

Step-by-step explanation:

Heya mate!!

The product of odd numbers is odd and the product of even numbers is even.

so 15 is an odd number then the sign of product is odd

Hope this helps!!!

Answer:

-5

Step-by-step explanation:

g(x)=x^2+4x-5

g(-4)=(-4)^2+4(-4)-5

g(-4)=(-4)(-4)+(-16)-5

g(-4)=16-16-5

g(-4)=0-5

g(-4)=-5

Answer:

angle 1 and 3 are equal by vertically opp. angle

3x-1 = 2x +9

3x-2x = 9+1

x = 10

put the value of x in any equation

3(10)-1 = 29

angle 1 = angle 3 = 29

angle 2 + angle 3 = 180 ° (linear pair)

angle 2 = 180 -29

angle 2 = 149

angle = angle 3 = 149.

Hope it helps

Answer:

[tex]-(202x+5)[/tex] is the equivalent expression

Step-by-step explanation:

Given the following expression

[tex]12x+(-7)-214x-(-2)[/tex]

We are expected to find and re-write the expression such that it equals the given expression

We proceed by opening all brackets and work operations on signs

[tex]12x-7-214x+2[/tex]

collecting like terms we have

[tex]12x-214x-7+2\\\\-202x-5[/tex]

we can further re-write the new expression as

[tex]-(202x+5)[/tex]

Answer:

(23/454/7)(-324)

Step-by-step explanation:

Answer:

2,461,974

hope this helped

Answer:

[tex]24,619,700[/tex]

Step-by-step explanation:

[tex]24,619,746[/tex] to the nearest hundred

In the hundreds, it says 746. Since 46 is close 0, the answer would be [tex]24,619,700[/tex]. If the number was greater than 5 it answer would have been [tex]24,619,746[/tex] . But the number is 46. So that means your answer is

[tex]24,619,700[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

The quotient of Y and 6 is 29" translates to Y/6 = 29. Solve this for Y

Y/6 = 29

Y = 29*6

Y = 174

So the second option is good

Number 15 is most likely  the last option

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{1. \: \: \: \: \frac{y}{6} }}}}[/tex]

[tex] \boxed{ \bold{ \boxed{ \sf{ 2. \: \: \: - 8}}}}[/tex]

Step-by-step explanation:

1. Quotient is a term for a division.

Quotient of y and 6 is written as y / 6

2. - 2 - 6

Calculate it :

= -8

hope I helped!

Best regards! :D

Answer:

10 cm

Step-by-step explanation:

2/10=x/50

cross multiply

2*50=x*10

100÷10=x

x=10

We can solve this problem in two ways.

1. From the description we conclude that the described sequence is a geometric sequence where the first term a₁ = 2 and common ratio r = 3, so:

[tex]\boxed{a_n=2\cdot3^{n-1}}[/tex]

Answer D.

2. The easiest way. We know that a₁ = 2, so let's substitute n = 1 for each of the possible answers:

A. 3·2ⁿ = 3·2¹ = 3·2 = 6 - Wrong

B. 2·3ⁿ = 2·3¹ = 2·3 = 6 - Wrong

C. 3·2ⁿ⁻¹ = 3·2¹⁻¹ = 3·2⁰ = 3·1 = 3 - Wrong

D. 2·3ⁿ⁻¹ = 2·3¹⁻¹ = 2·3⁰ = 2·1 = 2 - Correct.

Answer:

1/8

Step-by-step explanation:

on edgenuity

Answer:

both same if we see. the one inch also costs l dollar wheras 10 dollar costs 10 inch. ok

Answer:

10in pizza

Step-by-step explanation:

We need to find the area of each pizza.

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

radius is 1/2 the diameter.

1in pizza                                    10in pizza

A = [tex]\pi[/tex]([tex].5^{2}[/tex])                                    A = [tex]\pi (2.5^{2} )[/tex]

A = .25[tex]\pi[/tex]                                     A = 6.25[tex]\pi[/tex]

A = .79                                        A = 19.63

                                                   19.63/10 for [tex]in^{2}[/tex] per $1

So the 1in pizza bite is $1 for .79[tex]in^{2}[/tex]  and we can see from the 10in pizza it's $1 for 1.96[tex]in^{2}[/tex]. So it is much better to get the 10in pizza.

Answer:

Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

Step-by-step explanation:

Just took the test.

Both the steps performed by Mark to determine ,the houses the carrier can deliver mail to in 7.5 minutes at this rate is correct .

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

A mail carrier can deliver mail = 36 houses

Time taken to deliver mail in 36 houses = 30 minutes

Mark wants to determine , the houses the carrier can deliver mail to in 7.5 minutes at this rate.

By using unitary method :

Step1: First divide 36 houses by 30 minutes to find a unit rate  

[tex]rate = \frac{36}{30}[/tex]

rate = 1.2 houses in a minute  

Step2: Then multiply the rate to the required time

i.e  1.2 * 7.5  = 9 houses

Hence , Both the steps performed by Mark to determine ,the houses the carrier can deliver mail to in 7.5 minutes at this rate is correct .

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Answer:

When we are multiplying the same number, let it be n, m times, what we do is:

[tex]n^m[/tex], where n is the base and m the exponent.

In this case we have 4 fives, 2 threes, 3 x and 1 y which are being multiplied , so we can convert them to exponents:

Then we multiply all: [tex]5^4*3^2*x^3y[/tex]

Answer:

2 pages/min

Step-by-step explanation:

Unit rate is:

  1/5 page        1 * 10

------------------ = --------- page/min = 2 pages/min

 1/10 min           5 * 1

Answer:

30 seconds

Step-by-step explanation:

1/10 of a minute: 6 seconds

60/10 = 6

6x10 = 60

now, if 6 seconds is 1/5 of the page you need to multiply

6 x 5 = 30 seconds

it takes him 30 seconds to write a page

Answer:

y = 5

Step-by-step explanation:

We khow that x and y are consecutive integers and that x^2 is greater than y^2 since x^2-y^2=11

● so x is greater than y

● wich means that x = y+1

● x^2-y^2=11

● (y+1)^2-y^2 = 11

● y^2+2y+1-y^2=11

● 2y + 1 = 11

● 2y +1-1 = 11-1

● 2y = 10

●2y/2 = 10/2

● y = 5

Answer: A) Whole number

Explanation:

The set of whole numbers is {0,1,2,3,...} showing that negative values are not in this set. A distance below sea level is written as a negative (where positive values are above sea level). So you won't use the set of whole numbers for this type of problem.

In contrast, something like the set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ... } including negatives this time. For example, we can write -10 to indicate we're 10 feet below sea level. Rational numbers and real numbers can also be negative.

Answer: -5x^3 + 5y^3

Step-by-step explanation: The other parts cancelled out

Answer:

= -5x³ + 5y³

Step-by-step explanation:

4y³ - 5x³ - 1 - 4y³ - 6 + 7 + 5y³

= -5x³ + (4y³ - 4y³ + 5y³) + (- 1 - 6 + 7)

= -5x³ + (0 + 5y³) + (- 7 + 7)

= -5x³ + 5y³

I dont think so lol try drawing it out a translation is the same shape or point but in another quadrant either over the x axis or y axis

Answer: [-5,∞)

Step-by-step explanation:

z-18 ≥ -23     Add 18  to both sides

 +18   +18

z ≥ -5    

Which means x has to be greater than negative 5.

In interval notation it will be [-5,∞)

Answer:

z ∈ [-5; +∞)

Step-by-step explanation:

z - 18 ≥ - 23

<=> z ≥ 18 - 23

<=> z ≥ -5

----> z ∈ [-5; +∞)

Answer:

Distance= 6.6 miles

Bearing= N 62.854°W

Step-by-step explanation:

Let's determine angle b first

Angle b=20° (alternate angles)

Using cosine rule

Let the distance between the liner and the port be x

X² =8.8²+2.4²-2(8.8)(2.4)cos20

X²= 77.44 + 5.76-(39.69)

X²= 43.51

X= √43.51

X= 6.596

X= 6.6 miles

Let's determine the angles within the triangle using sine rule

2.4/sin b = 6.6/sin20

(2.4*sin20)/6.6= sin b

0.1244 = sin b

7.146= b°

Angle c= 180-20-7.146

Angle c= 152.854°

For the bearing

110+7.146= 117.146

180-117.146= 62.854°

Bearing= N 62.854°W

Answer/

Step-by-step explanation:

Look at the powers of each x10. The bigger the power, the bigger the mass. Of two are in the same order, you look at the number next to it.

The ascending order from least to greatest is

Atmosphere - 5.1 × 10¹⁸ kg

Oceans - 1.4 × 10²¹ kg

Inner core - 9.675 × 10²² kg

Crust - 2.6 × 10²² kg

Outer core - 1.835 × 10²⁴ kg

When numbers are arranged in ascending order, they are done so from least to largest. We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in ascending order: Determine how many digits each number has.

Given data ,

Let the masses of each part of the Earth be

oceans     1.4 × 1021kg

crust      2.6 × 1022kg

atmosphere   5.1 × 1018kg

mantle     4.043 × 1024kg

outer core   1.835 × 1024kg

inner core   9.675 × 1022kg

And , arranging them in ascending order , we get

Atmosphere - 5.1 × 10¹⁸ kg

Oceans - 1.4 × 10²¹ kg

Inner core - 9.675 × 10²² kg

Crust - 2.6 × 10²² kg

Outer core - 1.835 × 10²⁴ kg

Hence , the arranging order is solved

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Answer:yes

It is 25 C

76 - 51 = 25

Answer:

(4v + 3) and (v - 7)

Step-by-step explanation:

First rewrite 4v2 - 25v = 21 as 4v^2 - 25v - 21.

Let's now analyze -25v and -21.  We need to identify two integers whose product is 21 and whose sum is -25.  

Note that factors of -21 are ±1, ±3, ±7 and ±21.  Factors of 4 (the coefficient of v^2) are ±1, ±2 and ±4.

Check out the following trial factors:   (4v + 3) and (v - 7).  Does this product come out to the given 4v^2 - 25v - 21?  Yes.   So the desired factors of 4v2 - 25v = 21 are (4v + 3) and (v - 7).  Note how (3)(-7) = -21 and how 4(-7) + 3v add up to -25, the coefficient of the v term.

Answer:

a

Step-by-step explanation:

Answer: 7x+y+8

Step-by-step explanation:

Combining like terms is just like what it sounds. You take the like terms, or terms that have the same variables and such, and add them together.

For this problem, we can see that 12x and -5x are like terms because they both consist of a numerical coefficient and the variable x.

We can see that -3y and 4y are like terms because they both have a numerical coefficient and y for variable.

Now, we can combine like terms.

12x-3y+8-5x+4y                     [combine like terms]

7x+y+8

Answer:The answer is $0.24

Step-by-step explanation:divide 2.16 by 9

Answer:

0.1

Step-by-step explanation:

To do this you would just multiply 0.4 and 0.25 which would get you 0.1

Answer: The range in golf scores was 14.

Step-by-step explanation:

Range = Maximum - minimum

Values above some limit are represented by positive integers whereas values blow a certain limit is represented by negative numbers.

Given: The golfer with the highest score in a tournament was nine over par i.e. (9). The golfer with the lowest was five below par i.e. (-5 ).

So, the range in golf scores =  9-(-5)

=  9+5

= 14

Therefore, the range in golf scores was 14.