convert the fraction to a decimal. 1/5=

Answer:

ab+c=d

ab=d-c

a=d-c/b

Answer:

[tex]a=\frac{d-c}{b}[/tex]

Step-by-step explanation:

ab+c=d

in order to find the value of a subtracting c on both sides

ab+c-c=d-c

ab=d-c

dividing b on both sides

ab/b=(d-c)/b

[tex]a=\frac{d-c}{b}[/tex] is the answer

i hope this will help you :)

Answer:

a) 18

b) 10

c) x^2 - 4x + 5

d) 4x^2 + 2

Step-by-step explanation:

f(x) = 4x - 2

g(x) = x^2 + 1

a) f(5) = 4(5) - 2 = 20 - 2 = 18.

b) g(-3) = (-3)^2 + 1 = 9 + 1 = 10.

c) g(x - 2)...

g(x - 2) = (x - 2)^2 + 1 = x^2 - 2x - 2x + 4 + 1 = x^2 - 4x + 5.

d) f(g(x)) = f(x^2 + 1) = 4(x^2 + 1) - 2 = 4x^2 + 4 - 2 = 4x^2 + 2.

Hope this helps!

Explanation:

The plan outlined here makes nearly best use of available resources and job constraints. It results in job completion in about 12 weeks, or 3 months.

__

For simplicity, we choose to work 5 hours per day, 5 days a week. Each skilled volunteer will complete their weekly 10 hours by working 2 days. Each unskilled volunteer will complete their 15 hours by working 3 days. Some volunteers will work an "interrupted" schedule that consists of non-consecutive work days. The purpose of this is to provide compliance with job site limitations, volunteer hour limitations, and to maximize continuity of communication as the job progresses.

A weekly schedule along these lines is shown in the attachment. It has 2 skilled volunteers and 6 or 7 unskilled volunteers on site each day. The ratio of skilled to unskilled volunteers is 31% : 69%. Each works the maximum number of hours for their skill level.

The net result is that 50 skilled hours and 165 unskilled hours are worked each week.

__

We assume the wording "three times as many unskilled volunteers are required to complete any job compared to skilled volunteers" means that 3 unskilled hours are equivalent to 1 skilled hour. (An alternative interpretation is that 45 hours of unskilled labor is equivalent to 10 hours of skilled labor.)

Using this assumption, job completion occurs at the equivalent rate of ...

  50 +165/3 = 105 . . . equivalent skilled hours per week

The total job requirement of 1200 skilled hours can be met in 12 weeks' time, well within the 6-month desired completion period. (Even using the alternate interpretation of labor equivalent, the job can be done in 14 weeks.)

__

In any given week, the 5 skilled volunteers are designated s1–s5, and the 11 unskilled volunteers are u1–u11. The days they're scheduled to work are identified by the weekday labels M, T, W, T, F. Skilled volunteer s1 works only Monday and Friday, and is responsible for week-to-week tie-in. Unskilled volunteers u2, u4, u7, u9 get two (2) days off in the middle of each week.

Answer:

x= 9/5

Step-by-step explanation:

The value of 'x' by using given steps will be 1.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - 3x + 18 = 7x

Now,

Solve the expression by using the given steps as;

The expression is,

⇒ - 3x + 18 = 7x

Add 3x to both side,

⇒ - 3x + 18 + 3x = 7x + 3x

⇒ 10 = 10x

Divide both sides by 10,

⇒ 10/10 = 10x/10

⇒ 1 = x

⇒ x = 1

Thus, The value of x by using given steps will be 1.

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Answer:

You can expect at least 9 of her postcards to arrive within a week

To find that, we multiply the number of postcards by the probability

15 x 0.62 = 9.3

Hope this helps

Good Luck

Answer:

a is 2q^2r

b is 3s^2t

the expression factored is...

(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)

Step-by-step explanation:

Answer:

No it is not because it is only once when you get the fee

Step-by-step explanation:

So if you look at it, first of all there is not multiplication going on, so there are not ratios, second when there is only once that the fee added no matter to the amount of tickets, it means no propotion

Answer:

Both types of lines are built on the same plane although they meet different objectives for which they are built.

Step-by-step explanation:

The difference is that in the case of parallel lines they will never cross and in the case of perpendicular lines if they cross each other, which can give rise to the formation of right angles to each other.

The probability that the bus is filled in less than 3 hours from the time of the fare reduction is 0.8488

Let the time for calls for tickets is denoted by x.

The time between calls for tickets is exponentially distributed, with a mean of 30 minutes.

[tex]X \sim Exp(\lambda = \frac{1}{30})[/tex]

A small bus can carry four passengers. We have to find the probability that  the bus is filled in less than 3 hours from the time of the fare reduction.

That means there are more than 4 passengers in less than 180 minutes (3 hours).

Let N be the number of seats filled in 3 hours.

Then,

[tex]N \sim Poisson(\lambda t)[/tex]

Or,

[tex]N \sim Poisson(\frac{1}{30} \times180)[/tex]

[tex]N \sim Poisson(6)[/tex]

Then the required probability is:

[tex]P(N\geq 4) = 1 - P(N < 4)[/tex]      --------(1)

PDF for Poisson random variable with parameter λ is give by:

[tex]P(X =x) = \dfrac{{e^{-{\lambda}} {\lambda}^x}}{x!}[/tex]

Then for the variable N

P(N<4) = P(N=0)+P(N=1)+P(N=2)+P(N=3)

[tex]P(N < 4) = \dfrac{{e^{-{6}} {6}^3}}{3!} +\dfrac{{e^{-{6}} {6}^2}}{2!} +\dfrac{{e^{-{6}}{6}^1}}{1!}+\dfrac{{e^{-{6}} {6}^0}}{0!}[/tex]

On solving the above:

P(N<4) =0.0892+ 0.0446+0.0149+0.0025

P(N<4)= 0.1512

Substitute this value in (1)

P(N≥4) =1-0.1512

P(N≥4) =1-0.1512

P(N≥4) =0.08488

Hence, the required probability is 0.8488.

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Answer:

x-8

Step-by-step explanation:

You add the -7 and -1 and then put the x in front of your answer.

Answer: x-8

Step-by-step explanation:

x-7-1

-7-1=-8

x-8

Answer:

False

Step-by-step explanation:

Yes, they do give vertical angles, which by definition means opposite angles created by intersecting lines. BUT, these angles are not supplementary, as they don't always complete eachother. If they were supplementary, they would not be vertical angles. Instead, they create CONGRUENT veritcal angles.

Hope this helped!

The statement is False which is intersecting chords do not form a pair of supplementary and vertical angles.

A chord of a circle is defined as the line segment whose both endpoints of that line are on the circumference of the circle.

Vertical Angles are the angles formed facing opposite to each other when two lines intersect each other.

Supplementary angles are the adjacent angles whose sum is 180° and together form a straight line.

So, here when two intersecting chords of the circle intersect each other at a point, they form two pairs of vertical angles, and according to the theorem of vertical angle, vertical angles are congruent.

As vertical angles are opposite to each other, so they can't be adjacent and can not form always 180° by adding their values and do not make straight line together.

But Intersecting chords of the circle can form a pair of congruent vertical angles.

So the given statement: Intersecting chords of a circle form a pair of supplementary, vertical angles is False.

Learn more about supplementary angles

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Answer:

Step-by-step explanation:

(2+10)/(5+1)= 12/6 =2

y + 10 = 2(x + 1)

y + 10 = 2x + 2

y = 2x - 8

Answer:

A

n^2+3

1. 1^2+3= 4

2. 2^2+3= 7

3. 3^2+3= 12

4. 4^2+3= 19

5. 10^2+3= 103

B

2n^2

1. 2*1^2=2

2. 2*2^2= 8

3. 2*3^2= 18

4. 2*4^2= 32

5. 2*10^2= 200

Answer:

see below

Step-by-step explanation:

n^2+3

n=1:  1^2+3 = 1+3 =4

n=2:  2^2+3 = 4+3 =7

n=3:  3^2+3 = 9+3 =12

n=4:  4^2+3 = 16+3 =19

n=10:  10^2+3 = 100+3 =103

2n^2

n=1:  2*1^2 = 2*1 =2

n=2:  2*2^2 = 2*4 =8

n=3:  2*3^2 = 2*9 =18

n=4:   2*4^2 = 2*16 =32

n=10:   2*10^2 = 2*100 =200

Answer:

Height of the cylinder = 15

Step-by-step explanation:

According to the question, TSA=968

TSA of cylinder=2π r (r+h2*22 / 7*7 (7+h) = 968

2*22 (7+h) = 968

(7+h) = 968/44

7+h=22

h = 22-7

= 15 cm

Answer:

cot(45 -A) = cot(90 - (45 + A)) =  tan(45 + A) = tan2A + sec2A

Step-by-step explanation:

cot(45 -A) = tan2·(A) + sec2·(A)

We have;

tan2(A) + sec2(A) = sin2(A)/cos2(A) + 1/cos2(A) = (sin2(A) + 1)/cos2(A)

= (sin²(A) + cos²(A) + 2·sin·(A)cos(A))/(cos²A - sin²A)

= (sin(A) + cos(A))²/((cos(A) -sin(A))(cos(A) +sin(A)))

= (sin(A) + cos(A))/((cos(A) -sin(A)))

= (cos(A)(1 + sin(A)/cos(A)))/(cos(A)(1 - sin(A)/cos(A)))

= (1 + tan(A))/(1 - tan(A))

= (tan 45 + tan(A))/(1 - tan(45)·tan(A)) = tan(45 + A)

cot(π/2 - x) = tan(x)

= cot(π/2 - (45 + A)) =  tan(45 + A)

π/2 = 90°

= cot(90 - (45 + A)) =  tan(45 + A)

cot(45 - A) =  tan(45 + A) =  tan(2A) + sec(2A).

Answer:

The answer is the second one 687p + 920 = -705.6

Step-by-step explanation:

The decimal place in each number was shifted right 2 spots

Answer:

$42 for 8 tickets

Step-by-step explanation:

To tell which is the better deal you need to find out how much each ticket costs per scenario

$18 for 3 tickets you will need to do 18/3 which will give you $6 a ticket

$42 for 8 tickets you will need to do 42/8 which will give you $5.25 a ticket

$42 option is cheaper per ticket so it is therefore the better option.

Answer:

6 mi

Step-by-step explanation:

10560 yds ÷ 1760 yds = 6 mi.

Answer: 6 miles

Step-by-step explanation:

1 mile = 1,760 yds.

Then 10,560/1,760

         = 6

Therefore, 10,560 yards is equal to 6 miles

Answer:

31hr

Step-by-step explanation:

Answer:

Step-by-step explanation:

Like your other question, let's break it down systematically

6x + 9y - 9(6x - 3y + 8z)

Use the distributive property

6x + 9y - 9(6x - 3y + 8z)

6x + 9y - 54x - 27y + 72z

Match like terms

6x - 54x = -48x

9y - 27y = -18y

72z - 48x - 18y

Answer:

The missing frequencies are x = 8 and y = 43.

Step-by-step explanation:

Median Value =70

Then the median Class =60-80

Let the missing frequencies be x and y.

Given: Total Frequncy = 200 , Median = 46

[tex]\left|\begin{array}{c|ccccccc}Value&0-20&20-40&40-60&60-80&80-100&100-120&120-140\\Frequency&12&30&x&66&y&27&14\\$Cumu.Freq&12&42&42+x&108+x&108+x+y&135+x+y&149+x+y\end{array}\right|[/tex]

From the table

[tex]\sum f_i =149+x+y[/tex]  

Here, n = 200

n/2 = 100

Lower Class Boundary of the median class, l=60

Frequency of the median class(f) =66

Cumulative Frequency before the median class, f=42+x

Class Width, h=10

[tex]Median = l + \dfrac{\dfrac{n}{2} - c.f }{f} \times h[/tex]

[tex]70 = 60+ \dfrac{100- 42+x }{66}\times 10\\70 = 60+ \dfrac{58+x }{66}\times 10\\70-60=\dfrac{58+x }{66}\times 10\\10*66=10(58+x)\\58+x=66\\x=66-58\\x=8[/tex]

200=149+x+y

200=149+8+y

y=200-(149+8)

y=43

Hence, the missing frequencies are x = 8 and y = 43.

Answer:

d

Step-by-step explanation:

(x,y,z)=(2,-3,0)+t(1,0,-1)

(x,y,z)=(2,-3,0)+(t,0,-t)

(x,y,z)=(2+t,-3,-t)

x=2+t

y=-3

z=-t

If you don't understand, you can ask me :)

Answer:

-71/624

Step-by-step explanation:

Easiest and fastest way to do this is to plug it into you calc. If you are doing it by hand, remember BPEMDAS and convert the fractions into same denominators to make adding easier.

Answer:

61 / 90, 62 /90, 63 /90, 64/90, 65/90

Explanation:

2/3 = 2 x 5 / 3  x 5 

       = 10 / 15 

4/5 = 4 x 3 / 5 x 3 

       12 / 15 

we can find 5 rational numbers betwen 2/3 and 4/5 by multiplying them with 5 + 1 = 6 

10 / 15  X 6 /6 

= 60 / 90 

12/ 15 X 6 /6 

= 72 / 90 

the rational numbers = 61 / 90  62 /90  63 /90  64/90  65/90  

Answer:

31/45, 32/45, 11/15, 34/35, 7/9.

Step-by-step explanation:

The LCM of 3 and 5 is 15 so we can write 2/3 and 4/5 as:

10/15 and  12/15 so one rational number between these is 11/15.

Now 11/15 = 33/45 and 4/5 = 36/45

So 2 rationals between these are 34/45 and 35/45 = 7/9

2/3 = 30 /45 and 11/15 = 33/45

so  2 rationals between these are 31/45 and 32/45.

Answer:

/25 is the trigonometric

tan=24

Answer:

cos(e) sin(e) is the he correct ratio

Answer: The first term is 6; the common difference is 4.

Step-by-step explanation:

Answer:

I got 41000 cell phones.

Step-by-step explanation:

Step 1: I figured out the amount of each workers from 90

US Sock Production: 18 workers

Thailand Sock Production: 15 workers

US Cell Production: 27 workers

Thailand Cell Production: 30 workers

Step 2: I adjusted the workers amounts to the question's changes

US Sock Production: 18 - 10 = 8 workers

Thailand Sock Productions: 18 + 15 = 33 workers

US Cell Production: 27 + 10 = 37 workers

Thailand Cell Production: 30 - 18 = 12 workers

Step 3: Find the total amount of cell phones produced

4(1000) + 37(1000) = 41000 cell phones

*12/3 = 4 because 3 workers are needed to make 1000 cell phones

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the SUBTRACTION.

so here we are going to use the BODMAS Rule,

Answer is -11

Answer:

Step-by-step explanation:

Can do skmeone help me