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3 years ago

Please answer really need it

Mathematics

1 answer:

Darina [25.2K]3 years ago

6 0

Answer:

31200

Step-by-step explanation:

31.2*10^3

We know that 10^3 is 1 with 3 zeros = 1000

31.2 *1000

Multiplying by 1000 moves the decimal 3 places to the right

31200

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The cost of 4 notebooks and 3 pens is $14.50. The cost of 5 notebooks and 6 pens is $21.50. Part A: What is the cost of each ite

White raven [17]

Answer:

notebook: $2.5

pen: $1.5

part B, he can buy 3 pens

Step-by-step explanation:

let the cost of notebook be n, cost of pen be p

1. 4n + 3p = 14.5

2. 5n + 6p = 21.5

by 1, you can get 3p = 14.5 - 4n, put it into 2

5n + 2(14.5 - 4n) = 21.5

5n + 29 - 8n = 21.5

3n = 29 - 21.5 = 7.5

n = 2.5

put n = 2.5 into 1

4(2.5) + 3p = 14.5

3p = 4.5

p = 1.5

Waseem buy 3 notebooks for each pen, let number of pen be m, then the number of notebook will be 3m

m(2.5) + 3m(1.5) < 27

2.5m + 4.5m = 7m < 27

m < 27/7

maximum integer value for m = 3

6 0

2 years ago

The slope of any line perpendicular to AB , where A(0, -3) and B(4, 9) are two points on the line, is m =

rjkz [21]

Are you missing an option? The answer should be -2/3 (I just calculated it numerous times)

5 0

3 years ago

A building is 3 ft from an 8-ft fence that surrounds the property. A worker wants to wash a window in the building 13 ft from t

zloy xaker [14]

Answer:

Length of the ladder used by worker = 17 feet

Step-by-step explanation:

Given:

Height of the window from the ground = 13 ft

Distance of fence from the building = 3 ft

Distance of ladder from the building = (3+8) = 11 ft

We have to find the length of the ladder.

Let the length of the ladder be 'x'

From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.

Using Pythagoras formula:

⇒ $hypotenuse\ 'x' =\sqrt{(perpendicular)^2+(base)^2}$

Here base length = 11 ft

Perpendicular = 13 ft

Plugging the values:

⇒ $x=\sqrt{(13)^2+(11)^2}$

⇒ $x=\sqrt{(169+121)}$

⇒ $x= \sqrt{290}$

⇒ $x=17.02$ feet

The length of the ladder = 17 feet to its nearest tenth.

6 0

3 years ago

According to The Wedding Report, Inc., the mean cost for a wedding in the United States is $28732 (as of November 2008). Suppose

Stella [2.4K]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

$X = \text{cost of wedding}\sim \text{Normal}\ (\mu = 28732, \sigma= 1500)\\\\$

For point a:

$Probability\ = 0.00000359\\\\ \text{(Using Excel function:} =NORMDIST(22000,28732,1500,1)).$

For point b:

$Probability \ = 0.014678\\\\\text{(Using Excel function:} =1-NORMDIST(32000,28732,1500,1))\\\\$

For point c:

$Probability\ = 0.794614436 \\\\$

$\text{(Using Excel function:} \\=NORMDIST (30000,28732,1500,1)-NORMDIST(25000,28732,1500,1))\\\\$

For point d:

$Q_1 = 27720.26537 \\\\\text{(Using Excel function:} =NORMINV(0.25,28732,1500)) \\\\Q_3 = 29743.73463 \\\\\text{(Using Excel function:} =NORMINV(0.75,28732,1500)).$

For point e:

$IQR = Q_3 - Q_1 = 29743.73463 - 27720.26537 = 2023.469251.$

For point f:

$Top\ 10\% = 30654.32735 \\\\\text{(Using Excel function:} =NORMINV(0.9,28732,1500)).$

5 0

2 years ago

Given y=3x-7. When x = 0 what is the value of y

MissTica

Answer:

-7

Step-by-step explanation:

y=3x-7

x=0 ⇒ y= 3*0-7= -7

7 0

3 years ago