according to the u.s. census bureau, the probability that a randomly selected worker primarily drives a car to work is 0.867. the probability that a randomly selected worker primarily takes public transportation to work is 0.048

In step 2 addition property is used.

2x + (1 ÷ 4) - (3 ÷ 5)x = 55 ÷ 4

Simplifying x,

2x - (3 ÷ 5)x - (1 ÷ 4) = 55 ÷ 4

(10x - 3) ÷ 5 - (1 ÷ 4) = 55 ÷ 4

(7x ÷ 5) - (1 ÷ 4) = 55 ÷ 4

Add (1 ÷ 4) on both sides,

(7x ÷ 5) - (1 ÷ 4) + (1 ÷ 4) = 55 ÷ 4 + (1 ÷ 4)

(7x ÷ 5) = (55 + 1) ÷ 4

(7x ÷ 5) = 56 ÷ 4

Multiplying (5 ÷ 7) on both sides,

(7x ÷ 5) × (5 ÷ 7) = (56 ÷ 4) × (5 ÷ 7)

x = 10

In step 2 - Add (1 ÷ 4) on both sides, the addition property is being used.

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Answer:

its c step three

Step-by-step explanation:

Width of the rectangle is 2.5, Length is 10 and perimeter is 25

Given

Length of rectangle is 5 greater than double of width

let us say width = w

According to the question length L = 5 + 2w

Perimeter is 10 times the width

P= 10w

we know that perimeter of a rectangle is 2(L+W)

Substituting the values in the formula we get

10w = 2(5+2w + w)

10w = 10 + 6w

w= 2.5

From this length L = 5+2(2.5)

                            L = 10

Perimeter P = 10W

P= 10(2.5)

P= 25

Hence the length is 10, width is 2.5 and perimeter is 25

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The cost of t shirt is $ 133.

Cost price is the complete sum of money that a manufacturer must spend to create a specific good or render a specific service.

For instance, Cost price equals selling price plus revenue ( when selling price and profit is given ) Cost is equal to Selling price plus Loss ( when selling price and loss is given ) Cost price = 100 Selling Price + 100 + Profit (where the Selling Price and Profit Percentage are supplied)

Given: c = 9.5 t

Sanjay bought 14 t shirts

And t in the above equation stands for the number of t shirts

thus c = 9.5 × 14 = $ 133

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Answer:

2y + 1 maybe??????

Step-by-step explanation:

hope its correct if not please tell me

y=1.5x+3

Observing the graph

Let,

A(0,3) -----> this point is the y-intercept of the line

B(2,6)

We know that

The equation of the line into slope intercept form is equal to

y = mx + c

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem

b=3

Find the slope of the line m

The formula to calculate the slope between two points is equal to

m = y2-y1 / x2-x1

substitute the values

m = 6-3 / 2-0

m = 3/2

m = 1.5

The equation of the line is

y= 1.5x+3

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Answer:

8x−3y=−24

Step-by-step explanation:

1. 8/3
2. 16/3
3. 123

*some words for 20 symbols*

The point would be the solution (25,40).

Let

The number of tacos sold is represented by x.

x denotes the quantity of burritos sold.

We are aware of this,

⇒ x + y 62

⇒ 3.75x + 6y = 330

The triangle shaded region is the answer

(25,40)

The point is one possible solution (25,40).

Remember that if an ordered pair is a solution to a system of inequalities, then the ordered pair must reside on the solution's region.

That indicates there were 30 tacos sold and 30 burritos sold.

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Using combinations,  there are a total of 20 distinct voting combinations.

We now have five bands. We'll refer to them as A, B, C, D, and E.

John will choose two bands from the available five if he is required to vote for his favorite and second-favorite.

We must pair bands and discover every possible combination in order to determine the TOTAL number of different possibilities.

The results/totals are as follows:

AB, AC, AD, AE

BA, BC, BD, BE

CA, CB, CD, CE

DA, DB, DC, DE

EA, EB, EC, ED

Thus, there are a total of 20 distinct voting combinations.

Since you already know that each of the five initial bands (A, B, C, D, and E) will result in a multiple of four, you may accomplish it more simply without listing by taking the five bands.

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Answer:

Step-by-step explanation:

[tex] \sf \cfrac{8(x + 3)^{2} }{2(x + 3)} [/tex]

Cancel out 2(x+3) in both numerator and denominator:

[tex]\sf 4(x + 3)[/tex]

Use the distributive property to multiply 4 by x+3:

[tex]\sf 4x + 12[/tex]

》》》》》》》》》》》》》》

Hope this helps!!

Have a nice day

Answer:

140 degrees

Step-by-step explanation:

isosceles triangle   so two angles are equal    20 and 20

ALL of the angles sum to 180 degrees

20+ 20 + vertex = 180

vertex = 140°

The equation of the line that passes through the x-intercept ( -2,0 ) and y-intercept ( 0,1 ) is y = (1/2)x + 1.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

From the graph, the x and y-intercept are; ( -2,0) and (0,1 )

Point 1 ( -2,0 )

Point 2( 0,1 )

First, we determine the slope of the line.

Slope m = y₂ - y₁ / x₂ - x₁

Slope m = 1 - 0 / 0 - (-2)

Slope m = 1 / 0 +2

Slope m = 1/2

Next, determine the y-intercept b by substituting the slope and a point into the equation of line formula.

y = mx + b

0 = (1/2)(-2) + b

0 = -2/2 + b

0 = -1 + b

b = 1

Now that the values of slope m and y-intercept b is known, plug these into y = mx + b to determine the equation of the line.

y = mx + b

y = (1/2)x + 1

Therefore, the equation of the line is y = (1/2)x + 1.

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Answer:

1. x = 0 , x = 3

2. x = -2 , x = 2

3. (x - 1)²

Answer:

x = 7

Step-by-step explanation:

3x + 9x = 6x +42

12x = 6x +42

12x - 6x = 6x -6x +42

6x = 42

[tex]\frac{6x}{6} = \frac{42}{6}[/tex]

x = 7

The function which will represent the given Translation will be T(x, y) = (x + 3, y - 2).

Translation may be defined as the shifting of the curve on a graph or shifting of the plotted points on a graph. The translation can be horizontal or vertical. In horizontal direction it can be shifted either left or right and in vertical direction it can be shifted either up or down. Horizontal translation always occurs on the x axis and vertical translation always occurs on the y axis. A function may be defined as an expression in which for input variable x there is output variable y. We need to translate a function T(x, y) 3 units right so the new coordinate will be T(x + 3, y). Now, translation occurs 2 units down. so, new coordinates will be T(x + 3, y -2) which is the required function.

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The number of days Henry can go on vacation is 7 days.

Given that, Henry knows it will cost $300 per day that he's on vacation plus $650 for miscellaneous activities.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of days be x.

Henry has $2750 dollars in his savings account.

So equation is 300x+650=2750

The obtained equation can be solved as follow

300x=2750-650

⇒ 300x = 2100

⇒ x = 2100/300

⇒ x = 7

Therefore, the number of days Henry can go on vacation is 7 days.

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Answer:

x+3=2x-61 (corresponding angles)

3+61=2x-x

64=x

x=64

Answer:

x = 64

steps are in the photo

Answer:

$0.84

Step-by-step explanation:

To solve this problem, divide 6.72 by 8.

6.72/8=0.84

It costs $0.84 per inch.

Hope this helps! :D

The probability for at least one white gumball is 0.196

Consider the following:

First jar:100 whites, 25 green

Total=100+25

       =125 gumball

P(White)=100/125=0.8

Second jar:50 whites, 150 blue

Total=50+150

       =200 gumballs

P(White)=50/200=0.25

Third jar:500 whites, 10 red

Total=500+10

         =510

P(White)=500/500=0.98

Now, probability for at least one white is

              =P(white in jar 1)*P(white in jar 2)*P(white in jar 3)

              =0.8*0.25*0.98

              =0.196

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Answer: The answer is 27

Step-by-step explanation:

if a=5 and b=10 and c=12 then just put the numbers in place of the letters so that's going to be :

P=5+10+12
P=15+12
P=27

In this question, we have been given a piggy bank contains 2.65$ in nickels and dimes. Then There are 29 nickels and 12 dimes in the piggy bank.

We need to find the number of nickels and dimes if the number of nickels is 7 less than three times the number of dimes.

Let x be the number of nickels and y be the number of dimes.

We know that, 1 dollar = 20 nickels

and 1 dollar = 10 dimes

So, we get an equation

0.05x + 0.1y = 2.65                   ...........(1)

Also the number of nickels is 7 less than three times the number of dimes.

x = 3y - 7                      .................(2)

Substitute above value of x in equation (1)

0.05(3y - 7) + (0.1)y = 2.65

0.15y - 0.35 + 0.1y = 2.65

0.25y = 2.65 + 0.35

0.25 y = 3

y = 12

Substitute above value of y in equation  (2)

x = 3(12) - 7

x = 29

Therefore, there are 29 nickels and 12 dimes in the piggy bank.

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Answer:

  the trip represented by f(x) takes less time

Step-by-step explanation:

Given a table of time and distance to go, and a function f(x) = 210-60x representing the same for a different trip, you want to know which trip takes less time.

The table has values ...

  (time in hours, remaining distance in miles) = (1, 150), (2, 100), (3, 50)

This shows you the remaining distance decreases by 50 miles for every hour added to the travel time. That means the remaining 50 miles will be reduced to zero after 4 hours.

The trip represented by the table takes 4 hours.

The function f(x) = 210-60x will have a value of zero when ...

  0 = 210 -60x

  0 = 3.5 -x . . . . . . divide by 60

  x = 3.5 . . . . . . . . add x

The trip represented by the function f(x) takes 3.5 hours.

The second trip takes less time.

Answer:

J

Step-by-step explanation:

assuming the 2 is a squared s a*a is a2 2*a*-b is -2ab

and -b* -b is b2

A) g(6)

g(6) = 8 -2.5*6

g(6) = 8 - 15

g(6) = -7

B) g(0)

g(0) = 8 -2.5*0

g(0) = 8 - 0

g(0) = 8

C) g(-6)

g(-6) = 8 -2.5*-6

g(-6) = 8 + 15

g(-6) = 23

Answer:

you can use the angle addition postulate I think that's what it's called

everything u need is in the picture

closed circles are at negative 2 and positive 8. everything between the points is shaded.

We have the equation:

|h - 3| [tex]\leq[/tex] 5

Remember that the equation:

|f(x)| = A

with A > 0

means that:

f(x) = A

or

f(x) = -A

Then for our case, we can rewrite:

|h - 3| [tex]\leq[/tex] 5

as:

(h - 3) [tex]\leq[/tex] 5

or

-(h - 3) [tex]\leq[/tex] 5

Now we can solve these two equations to find the two possible values of p.

From the first one, we get:

h [tex]\leq[/tex] 8

Now from the other equation, we can get the other solution:

h [tex]\geq[/tex] -2

Then the correct option is:

closed circles are at negative 2 and positive 8. everything between the points is shaded.

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Answer:

x=0.4

Step-by-step explanation:

Put both equations equal to each other:

16x+2=7x+6

Now, Solve:

16x+2=7x+6   Set the equation

16x-7x=6-2     Move like terms together

9x=4              Subtract like terms

x=4/9             Simplify

x=0.4             Answer