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erik [133]
3 years ago
7

It takes you 3 hours to drive to a concert 135 miles away how many miles

Mathematics
1 answer:
icang [17]3 years ago
4 0
135 miles / 3 hours = 45 mph
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What value of x makes the equation true?<br> -1=1 – 4(-5+4x) – 4x
cluponka [151]

Answer:

x = 11/10

Step-by-step explanation:

we have from statement:

-1=1 - 4(-5+4x) – 4x

we apply distributive property:

-1 = 1 -4*(-5) -4*(4x) -4x

so we have:

-1= 1+20 -16x -4x

-1 = 21 -20x

-22=-20x

so we have:

x=22/20

x=11/10

we can substitute the x value found:

-1 = 1 - 4(-5+4*(11/10)) – 4*(11/10)

-1 = 1+20 -17.6 -4.4

-1 =21 -22

so we have:

-1 = -1

4 0
3 years ago
Potatoes: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviatio
katrin2010 [14]

Answer: a)  79.10 %           b) 7%                c)19.85 %

Step-by-step explanation:

a) Z = ( × - μ ) ÷ σ           Where  μ mean of population σ standard               deviation Z is the abscissa to give the area or probability we are looking for associated to the value 10 ounces ( × )

So:  Z = ( 10 - 9 ) ÷ 1.2  ⇒ Z = 1/1.2 ⇒   Z = 0.83  it has to be below this value

From Z tables we get  P [ Z ≤ 0.82 ] = 0.7910  0r  79.10 %

b) Following the same procedure: We look for

P [ Z > ( x - μ ) ÷   σ ]    ⇒   Z  =  ( 12 -10 ) ÷ 1.2  = 2.5

From Z table we get the area under the curve from the left tail up to the point Z < 2.5 ( 2.5 not included) but we were asked for the area out of that previous so 1- 0.9930 = 0.007 is the area we are looking for

So P (b) = 0.007  or 7 %

Finally between the two points above mentioned ( 10 ≤  Z  ≤ 12 ) we use the previous values (taking in consideration the limits, according to the problem statement )

Z ≤ 10     Z ⇒( 10-9  ) ÷ 1.2   Z = 0.7967

Z ≥ 12     Z ⇒ ( 12 - 9 ) ÷ 1.2  Z = 0.9952

The interval is between these two points

0.9952 - 0.7967 = 0.1985   ⇒ or 19.85 %

The attached help in the understanding of the solution

                               

5 0
3 years ago
Can you find what each of the answers are
Ksju [112]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

1. Find Angle A :

  • x  + 24 = 3x

  • 3x - x =   2 4

  • 2x = 24

  • x = 12

Angle A :

  • 3x

  • 3 \times 12

  • 36 \degree

2. Find Angle B :

  • 10x - 27 = 7x

  • 10x - 7x = 27

  • 3x = 27

  • x = 9

Angle B :

  • 10x - 27

  • (10 \times 9) - 27

  • 90 - 27

  • 63 \degree

Find Angle C :

  • 5x + 1 = 6x  - 13

  • 6x - 5 x =  1 + 13

  • x = 14

Angle C :

  • 5x + 1

  • (5 \times 14) + 1

  • 70 + 1

  • 71 \degree

Find Angle D :

  • 6x  +  3 = 4x + 39

  • 6x - 4x = 39  -  3

  • 2x = 36

  • x = 18

Angle D :

  • 4x + 39

  • (4 \times 18) + 39

  • 72 + 39

  • 111\degree

And it's given :

  • 36° = Angle A = B

  • 63° = Angle B = A

  • 71° = Angle C = H

  • 111° = Angle D = E

Therefore, the answer will be " BAHE "

4 0
3 years ago
You are installing a new pre-constructed fence in front of your house. each fence section measures 4 ½ feet wide, and each end w
irga5000 [103]
Since, each side of the fence should have the 1 3/4 feet wide decorative piece, the width of the fence should be subtracted by 2 pieces (1 3/4 feet)
                                 = 26.5 feet
Then, divide the remaining width by 4.5 feet and the answer is 5.88. Thus, approximately 5 pieces of the 4 1/2 feet should be installed. 
4 0
3 years ago
Read 2 more answers
Mr.Chen left $45,000 to his aunt when he died. This was 5% of his total worth. a) how much was Mr.Chen worth when he died? Show
marysya [2.9K]

A) Mr Chen was worth:

45,000/5 = 9,000

9,000 x 100 = 900,000

The answer is 900,00

You can also write this as an equation.

3 0
3 years ago
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