The area of a trapezoid is 322m2 one base is 12m and the height 14m what is the measure of the other base

Answer:thousands-8         5 in the tans place

Step-by-step explanation:

Answer:

Thousands: 8

Tens: 9

Step-by-step explanation:

Thousands, Hundreds, Tens, Ones

8 Thousands, 6 Hundreds, 9 Tens, 5 Ones

Answer:

Step-by-step explanation:

Since the number of words per page in the book is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = number of words per page.

µ = mean

σ = standard deviation

From the information given,

µ = 340 words

σ = 20 words

The probability that the number of pages in the book are less than 360 words in length is expressed as

P(x < 360)

For x = 360,

z = (360 - 340)/20 = 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.84

The percent of pages in the book that are less than 360 words in length is

0.84 × 100 = 84%

Answer:

  4m+3

Step-by-step explanation:

Helena had ...

  m +m +m +m +3

marbles. This is more easily written as ...

  4m +3 . . . . the number of Helena's marbles

Answer:

A=2.6

Step-by-step explanation:

Answer:

u=10

Step-by-step explanation:

Answer

u = 10

Step-by-step explanation:

For now we do not know what u equals, but we do know that 20/5 = 4, because 20/5 simplified is just 4 since the fraction means 20 ÷ 4. Now that we are back to the question, with 2/5; if you multiply by 10 the numerator will then be 20. And now the equation is true! Hope this helps!

Answer:

A) (x + 2)(x + 8)   B) (x + 3)(x + 4)    C) (x + 1)(x + 12)

Step-by-step explanation:

I think that you meant to put x^2 on all of them

A) You can factor out an x, an 8, and a 2.    (x + 2)(x + 8)

B) You can factor out an x, a 3, and a 4.      (x + 3)(x + 4)

C) You can factor out an x, a 12, and a 1.     (x + 1)(x + 12)

If these answers are correct, please make me Brainliest!

The Factorize value is

A)  (x + 2)(x + 8)

B)  (x + 3)(x + 4)

C)  (x + 1)(x + 12)

A number is swiftly factorised into smaller numbers or factors of the number using the factorization formula. A factor is a number that evenly divides the inputted number.

The process of dividing a number into smaller numbers that, when multiplied together, equal the original number is known as factorization.

Given:

A) x² + 10x + 16

Now, factorizing

x² + 8x + 2x  + 16

x(x+ 8)+ 2(x+8)

(x + 2)(x + 8)

B) x² + 7x + 12

Now, factorizing

x² + 3x + 4x  + 12

x(x+ 3)+ 4(x+3)

(x + 3)(x + 4)

C)  x² + 13x + 12

Now, factorizing

x² + 12x + x  + 12

x(x+ 12)+ 1(x+3)

(x + 12)(x + 1)

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Answer: The last one (C)

Step-by-step explanation: Use the rule to convert  

15

1

3

to a radical, where  

a

=

15

,  

x

=

1

, and  n = 3 .

3 √ 15

Answer:

May 4th, 2012.

Step-by-step explanation:

The highest level can be found with the help of the First Derivative and Second Derivative Tests. First and second derivatives of the function are, respectively:

[tex]l'(t) = 0.04323\cdot t^{2}-0.8354\cdot t +2.703[/tex]

[tex]l''(t) = 0.08646\cdot t - 0.8354[/tex]

The First Derivative Tests consists on equalizing the first derivative to zero and finding the critical points.

[tex]0.04323\cdot t^{2}-0.8354\cdot t +2.703 = 0[/tex]

Roots are [tex]t_{1} \approx 15.672[/tex] and [tex]t_{2} \approx 4.077[/tex]. just the second root offer a realistic solution and is test by the second derivative.

[tex]l''(4.077) = -0.482[/tex] (which leads to a maximum).

Given that a year has 365 days or 12 months, the highest water level occurs at day:

[tex]n = \frac{4.077}{12} \cdot (365\,days)[/tex]

[tex]n \approx 124[/tex] (May 4th).

Answer:

The answer to your question is letter B

Step-by-step explanation:

Process

1.- Get two points of each line

                       Line 1                   Line 2

Point A            (0, 2)                    (5, 7)

Point B             (-4, 0)                  (0, -4)

2.- Find the slope of each line

Formula          slope = m = (y2 - y1) / (x2 - x1)

Line 1               m = (7 - 2) / (5 - 0)

                        m = 5/5

                        m = 1

Line 2               m = (-4 - 0) / (0 + 4)

                        m = -4/4

                        m = -1

3.- Find the equation of the lines

Formula          y - y1 = m(x - x1)

Line 1              y - 2 = 1(x - 0)

                      y - 2 = x

                      y = x + 2

Line 2             y + 4 = -1(x - 0)

                       y + 4 = -x

                       y = -x - 4

x= hot dogs

y= soda

Total sold

1 x + 1 y = 87 .............1

2 x 0.50 y = 78.50 .............2

Eliminate y

multiply (1)by -0.50

Multiply (2) by 1.00

-0.50 x -0.50 y = -43.50

2 x + 0.50 y = 78.50

Add the two equations

1 x = 35.00

/ 1

x = 35.00

plug value of x in (1)

1 x + 1 y = 87

35 + y = 87

y = 87 -35

y = 52

y = 52.00

x= 35 hot dogs

y= 52 soda

Final answer:

The number of hot dogs and sodas sold can be determined using a system of linear equations. By solving these equations, it was found that 35 hot dogs and 52 sodas were sold, represented as an ordered pair (35, 52).

Explanation:

Let's solve the problem of determining the number of hot dogs (x) and sodas (y) sold at a concession stand. Given that each hot dog costs $1.50 and each soda costs $0.50, and the total revenue is $78.50 for 87 items sold, we can set up two equations:

Now, let's use these equations to find x and y by substitution or elimination. If we multiply the second equation by 0.50, we get:

Subtract this new equation from the first one to eliminate y:

Now, plug x back into the second original equation:

35 + y = 87

So, y = 52 (Number of sodas sold).

The answer as an ordered pair is: (35, 52), where 35 represents the number of hot dogs sold, and 52 represents the number of sodas sold.

Answer: The rate at which mosquitoes are appearing in a field 15 days after the rainfall ended is -171. I believe this to be correct.

M'(15) = -171 means that after 15 days, the number of mosquitoes is decreasing at a rate of 171 mosquitoes per day.

The function M(t) represents the number of mosquitoes in a field after t days have passed since a major rainfall. The derivative of this function, M'(t), represents the rate of change of the number of mosquitoes.

M'(15) = -171 means that after 15 days, the number of mosquitoes is decreasing at a rate of 171 mosquitoes per day. In other words, the population of mosquitoes is declining by 171 mosquitoes each day.

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Answer:

9√3

Step-by-step explanation:

that’s the simplified square root of 243 :)

here u go:

BC = 18 × 1.96

    = 35.28 ft

Therefore the distance between the pole and the tree is 35.28 ft .

Answer:

Option 3

Step-by-step explanation:

If the radius of the can is 2 inches, then the diameter must be 4 since the diameter is 2 times the radius. So we want to make it as small as possible. I think the best option is option 3 because it is tight and it is stacked nicely. The package wrapping will not have much to go around. I hope this helps! please mark me brainliest! Thanks!

So we go up in 10's. It simply goes like this, 10,20,30,40,50,60,70,80,90,100,110,120,130,140,150,160,170,180,190,200... etc.

Answer:

   1 x 10 = 10

   2 x 10 = 20

   3 x 10 = 30

   4 x 10 = 40

   5 x 10 = 50

   6 x 10 = 60

   7 x 10 = 70

   8 x 10 = 80

   9 x 10 = 90

   10 x 10 = 100

   11 x 10 = 110

   12 x 10 = 120

Step-by-step explanation:

Answer:

0.83 ft

Step-by-step explanation:

If the diameter of the cylinder is 20 in, then half of that would be 10 in.

10 in is not quite a full foot, so 10/12 = 0.83 ft.

Answer: It will take him 319 days

Step-by-step explanation:

5742 divided by 18 = 319

Answer:

Step-by-step explanation:

If he wants to save $5,742, and is saving $18 per day, you can simply simplify $5,742 by $18 and you get 319.

Answer:

Step-by-step explanation:150/4 = 37.5 inches small piece

                                             150 - 37.5 = 112.5 large piece

                                             37.5 * 4 = 150

Answer: the shorter piece is 30 inches long.

the longer piece is 120 inches long.

Step-by-step explanation:

Let x represent the length of the shorter piece.

Let y represent the length of the longer piece.

A 150​-inch pipe is cut into two pieces. It means that

x + y = 150- - - - - - - -1

One piece is four times the length of the other. It means that

y = 4x

Substituting y = 4x into equation 1, it becomes

x + 4x = 150

5x = 150

x = 150/5

x = 30

y = 4x = 4 × 30

y = 120

Answer:

C =12.56 inches

Step-by-step explanation:

The circumference is given by

C = 2*pi*r  where r is the radius

C = 2* 3.14 * 2

C =12.56 inches

Answer:

4π

Step-by-step explanation:

The equation for circumference is 2πr

In order to find the circumference here, plug in the given radius

2π(2) = 4π

Answer:

5/2= 2 1/2 miles 2 1/2 mi x 4= 10 MPH

Step-by-step explanation:

Answer:

9.6 in an hr

Step-by-step explanation:

24 divided by 2.5

Answer:

x^2-3x-10

Step-by-step explanation:

If the zeros are -2 and 5, the equation (x+2)(x-5) is true. If you multiply those factors together you get x^2-3x-10.

Answer:

Joule.

Step-by-step explanation:

Dado que las unidades empleadas son del Sistema Internacional, la unidad a emplear es el Joule, cuya definición es Newton multiplicado por metro.

Answer:

the dimensions are;

Width = 14.5 ft

Length = 25.5 ft

Step-by-step explanation:

We are told that width is 11 feet less than length. Let Width be W and Length be L.

Thus;

W = L - 11

Area of rectangle is given by;

Area; A = 2W + 2L

Putting L - 11 for width, we have;

Area = 2(L - 11) + 2(L)

A = 2L - 22 + 2L

A = 4L - 22

Length = L

Width = W

Area = A

A =4L-22

We are told that Area is 80 square feet. Thus;

80 = 4L -22

Add 22 to both sides to give;

102 = 4L

Divide both sides by 4 to give;

102/4 = 4L/4

L = 25.5

Recall that; W = L - 11

Thus;

W = 25.5 - 11 = 14.5

So the dimensions are;

Width = 14.5 ft

Length = 25.5 ft

Answer:

24 ducks were swimming at the pond.

Answer:  i believe it is bailey

Step-by-step explanation:

bailey bought 6 note books for 10.80

thats about $1.8 per notebook

bc 10.80 ÷ 6 = 1.8

if we take steve's which is 7.28 for, four note books

thats $1.82 per note book

7.28 ÷ 4 = 1.82

then we check what it would be if he bought 6 note books.

1.82 x 6 = 10.92

so bailey got the better deal. i think dont take my word for it

Answer:

(67 + 45 + 84 + 55 + 73 + 36 + 80 + 62 + 38)/9 = 60

The mean number of points is 60.

Step-by-step explanation:

Add up all of the points  and divide it by the number of games played

Answer:

The scores of two school basketball teams are recorded.

Team A scored the following points per game: 67, 45, 84, 55, 73, 36, 80, 62 and 38.

Team B scored the following points per game: 72, 47, 76, 34, 98, 76, 56, 54 and 63.

Step-by-step explanation:

Answer:

An ordinary gain of $2,000

Step-by-step explanation:

Cost of the vehicle(C)=$10,000

Depreciation(D)=$3,000

Selling price(S)=$9,000

Worth of the vehicle= Cost price - depreciation

=$10,000-3,000

=$7,000

Net worth= selling price - worth of the vehicle

=$9,000-$7,000

=$2,000

Answer:

transaction would be a profit of $ 2,000.

Step-by-step explanation:

Given:-

- The original cost of the vehicle, C = $ 10,000

- The depreciation of the vehicle until the time of selling, d = $3,000

- The price at which the vehicle is sold, S = $ 9,000

Find:-

What is result of the transaction

Solution:-

- Whenever an asset is bought the value of the asset depreciates. There are several tools and methods to estimate the amount of depreciation.

- After n years of possession of car / since manufactured the asset undergoes depreciation until its sold or salvaged.

- Here Ms Smith possessed her car for a certain amount of time t years.

- The accumulated depreciation at the time she sold her car was " d ".

- So at the point of selling her car the actual worth or value of her car was ( C* ):

                              C* = C - d

                              C* = $10,000 - $3,000

                              C* = $7,000

- Now her car's value is ( C* ). If she sells her for " S " higher than current asset worth then she will profit from it otherwise she would sustain a loss in her selling transaction. So the net asset worth she would have after selling her car would be:

                             Net Worth = S - C*

                             Net Worth = $9,000 - $ 7,000

                             Net Worth = $ 2,000

Answer: The net worth is a positive value that means she sold her car for higher value than its worth; hence, the transaction would be a profit of $ 2,000.

Answer:

See attachment

Step-by-step explanation:

A) We draw the number line as shown in the attachment with intervals of 0.2 from 0 to 2.

B) Observe that, from 0 to 0.2 you move one units to get to 0.2.

From 0 to 2, on the number line with intervals of 0.2, you move 10 units from 0.

This means that:

[tex]2 = 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2[/tex]

This gives us:

[tex]2 = 0.2(1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1)[/tex]

Then finally we have:

[tex]2 = 0.2(10)[/tex]

By the commutative property of multiplication:

[tex]2 = 10 \times 0.2[/tex]

Answer:

Part a) [tex]-2x(2x-5)[/tex]

Part b) [tex]3x+6[/tex]

Step-by-step explanation:

Part a)

I first determined what each piece in the rectangular array meant.

Then I wanted to figure out the height and the base length.

I know [tex]-x(x)=-x^2[/tex] so that is why I put those purple [tex]x[/tex]'s on top and purple [tex]-x[/tex]'s down alongside for the [tex]-x^2[/tex] pieces. To get [tex]x[/tex] when I already had [tex]-x[/tex], I needed to multiply by -1 which is why there is a -1 along the top where those [tex]x[/tex] pieces are.

So in the first question down the side of the box, we have [tex]-x+-x=-2x/tex].

Along the the top we have [tex]x+x-1-1-1-1-1=2x-5[/tex].

To find the area of the rectangle, you multiply height by base.

[tex]-2x(2x-5)[/tex].

Part b)We have six [tex]x^2[/tex]'s and twelve [tex]x[/tex]'s. So that means the polynomial represented here is [tex]6x^2+12x[/tex].

What happens if we divide that by [tex]2x[/tex].

Let's see:

[tex]\frac{6x^2+12x}{2x}[/tex]

[tex]\frac{6x^2}{2x}+\frac{12x}{2x}[/tex]

[tex]3x+6[/tex]

Answer:

A) 2x(2x - 5)

B) -(3x + 6)

Step-by-step explanation:

Each empty square represents: x²

Each filled rectangle represents: -x

Area is 4x² - 10x

There are two rows:

Each row is: 2x² - 5x = x(2x - 5)

Statement:

2x(2x - 5)

In b, there are 6 tiles of -x², and 12 tiles of -x, which makes it:

-6x² - 12x

-(6x² + 12x)

-(6x² + 12x)/2x

-[(6x²/2x) + (12x/2x)0

-(3x + 6)

-3x - 6