a . ) 4 - 2 x < 5 - x + 1
b . ) 4/3 x + 7 > 3
c . ) 2 x - 3 (x + 3) < 14

Answer:

y = -1/3x + 5

Step-by-step explanation:

y = -1/3x + b

3 = -1/3(6) + b

3 = -2 + b

b = 5

Answer:

A

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AC}{DF}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values

[tex]\frac{45}{x+8}[/tex] = [tex]\frac{30}{25}[/tex] ( cross- multiply )

30(x + 8) = 1125 ( divide both sides by 30 )

x + 8 = 37.5 ( subtract 8 from both sides )

x = 29.5 → A

Answer:

5ft

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Volume = 25π ft cubed

Depth = 3 ft

So, we can calculate the radius by using following formula,

V = 1/3 ×π ×radius squared×depth

25π = 1/3×π×radius squared ×3

Radius squared = 25

Radius = √25

Radius = 5 ft

Hence the radius of the hole is 5 ft.

Answer:

3a

Step-by-step explanation:

What we have as the point O refers to the centroid of the triangle

The centroid splits the distance between the opposite vertex and the middle of the side length that faces it into two; with the longer side being twice the length of the shorter

So what we have here is that;

B1O is half the length of BO

So, if B1O is a cm, BO would be 2a

So we have the entire side length measure as;

a + 2a = 3a

Answer: the second sequence.

25- 20= 20-15=15-10=10-5.

From this we can see that the common difference is 5

Step-by-step explanation:

Answer:

4/11 is already simplified as much as it can be in fraction form. as a percent its 36.3636%

Step-by-step explanation:

The simplified expression of 4/11 is 4/11

From the question, we have the following parameters that can be used in our computation:

4/11

This means that we divide 4 by 11

So, we have the following representation

4/11

In the above, we have

The numerator 4 is less than the denominator 11

This means that the expression is already simplified

Hence, the simplified expression is 4/11

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Answer:

a) = -8

b) 1 - (-7) = 8

b) -7 - 1 = -8

c) for both they are still the same answer so  

[1- (-7)] = 8

[-7 - 1] = -8

I'm pretty sure these are the answers hope this helped

Step-by-step explanation:

Answer:

The domain is how far left and right it goes on a graph, and the range is how far up and down it goes on a graph. Because this equation is linear (if you graphed it, it would be in a straight line), both the domain and range are infinity, because it keeps going up and to the right, the larger X gets, and smaller and to the left, the more negative X gets.

graph is linear:

y=2x-4

solve for x=o

y=2x0-4       Eliminate 0

y=-4             solved for y

solve for y=0

0=2x-4          add 4

+4      +4

4=2x             divide by 2

/2    /2

4/2 =x

2=x               solved for x

calculate the slope

Solve for x=1

y=2x1-4

y=2-4

y=2             solved for y

Calculating the slope

      y                -y

a= x=1      x=0     =2

            1

The graph is

(0, -4)  (2, 0)

Question:  The probability that s student owns a car is 0.65, and the probability that a student owns a computer is 0.82.

a. If the probability that a student owns both is 0.55, what is the probability that a randomly selected student owns a car or computer?

b. What is the probability that a randomly selected student does not own a car or computer?

Answer:

(a) 0.92

(b) 0.08

Step-by-step explanation:

(a)

Applying

Pr(A or B) = Pr(A) + Pr(B) – Pr(A and B)................. Equation 1

Where A represent Car, B represent Computer.

From the question,

Pr(A) = 0.65, Pr(B) = 0.82, Pr(A and B) = 0.55

Substitute these values into equation 1

Pr(A or B) = 0.65+0.82-0.55

Pr(A or B) = 1.47-0.55

Pr(A or B) = 0.92.

Hence the probability that a student selected randomly owns a house or a car is 0.92

(b)

Applying

Pr(A or B) = 1 – Pr(not-A and not-B)

Pr(not-A and not-B) = 1-Pr(A or B) ..................... Equation 2

Given: Pr(A or B)  = 0.92

Substitute these value into equation 2

Pr(not-A and not-B) = 1-0.92

Pr(not-A and not-B) = 0.08

Hence the probability that a student selected randomly does not own a car or a computer is 0.08

Answer:

b. 450 ≤ A ≤ 1,200 is a required answer.

One fifty sold

Price

Total seats=400

Total price

So

We have to pay $0.63 sales tax if the rate is 6%.

What is the sales tax?

Sales tax is a tax that is added to the price of goods or services when they are sold. It is typically a percentage of the purchase price and is collected by the seller from the buyer.

In this case, the price of the bucket of popcorn is $8.00 and the price of the soda is $2.50. If the sales tax rate is 6%, the total amount of sales tax paid on the popcorn would be $8.00 x 6/100 = $0.48 and on soda is $2.50 x 6/100 = $0.15. So the total amount of sales tax paid on both items is $0.48 + $0.15 = $0.63

Hence, we have to pay $0.63 sales tax if the rate is 6%.

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Answer:

Hello! answer: 2/5

Step-by-step explanation:

3 ÷ 7 = 0.428571428571

2 ÷ 5 = 0.4

Therefore 3/7 is bigger then 2/5 Hooe that helps!

Answer:

d

Step-by-step explanation:

Answer:

n+7.6=13.82

n=13.82-7.6

n=6.22

Step-by-step explanation:

simple subtraction

Answer:

Store B has more expensive lawn mowers.

Step-by-step explanation:

The median price is the price in the middle of the possible prices which means that if you double the median price you will get about what the highest price can be.

What can be inferred from the data is store B has more expensive lawn mowers.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order. Median is a measure of central tendency.  For example 3 is the median in this dataset: 1, 3, 6

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Answer:

57?

Step-by-step explanation:

I'M NPT SURE IF IT'S CORRECT but I added them both and subtracted 180

Answer:

B.(3.0)

Step-by-step explanation:

took the test

Answer:

the angles sum of a isosceles triangle is 180 degrees so you can have..

Step-by-step explanation:

75 and 75

100 and 50

uhhhh i think theres more but someone else can list them :)

D.

D. natural numbers, whole numbers, and integers

Answer:

250[tex]\leq[/tex]5s+8ns

Step-by-step explanation:

the total fees are $250, meaning they would still be able to make the fees if they'd oversell the tickets.

each tickets is $5 for students; hence the s

each tickets is $8 for nonstudents; hence the ns

you may replace the variable with anything you'd like or what fits the direction.

The inequality describes the number of student and non student tickets that to be sold for the drama class to be able to pay the fees will be 5x+8y≥250

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, The total fees for the high school play are $250. Tickets to the play cost $5 for students and $8 for non students.

Let the cost of students be x and that of non student's be y.

According to question,

5x+8y≥ 250

Hence, The inequality describes the number of student and non student tickets that to be sold for the drama class to be able to pay the fees will be 5x+8y≥250

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Answer:

Step-by-step explanation:

Answer: 7ft

Step-by-step explanation:

Rectangular Prism = L x W x H

135H = 945

H = 7 ft

Answer:

54mm

Step-by-step explanation:

Answer:

This shaded region is consisted of 2 shapes: a right triangle and a semi-circle. To find the overall area, we must first find the are of the 2 shapes and add them together.

Step-by-step explanation:

1. Find the area of the right triangle:

a = 14, b = 2r = 8cm

A1 = ab/2 = 112/2 = 56cm²

2. Find the area of the circle:

r = 4 cm

A2 = πr² = 3.14 × 4² = 50.24cm²

3. Divide the area of the circle to get the area of the semi-circle:

A3 = A2/2 = 50.24/2 = 25.12cm²

4. Add the areas of the right triangle and the semi-circle together:

A1 + A3 = 56 + 25.12 = 81.12cm²

=======================================================

Explanation:

As you can probably guess, the first equation [tex]a_1 = 3[/tex] says that the first term is 3. The small '1' indicates "first term". So writing [tex]a_2[/tex] represents the second term, then [tex]a_3[/tex] is notation for the third term, and so on.

The second term is found by plugging in n = 2 into the second equation and computing to get...

[tex]a_n = 4*a_{n-1} + 2\\\\a_2 = 4*a_{2-1} + 2\\\\a_2 = 4*a_{1} + 2\\\\a_2 = 4*3 + 2\\\\a_2 = 12 + 2\\\\a_2 = 14\\\\[/tex]

The second term is 14. The steps above basically say: "to get the second term, we multiply the first term by 4, then add on 2"

In other words,

second term = 4*(first term) + 2

second term = 4*(3) + 2

second term = 12 + 2

second term = 14

-----

This can be extended to get the third term

third term = 4*(second term) + 2

third term = 4*(14) + 2

third term = 56 + 2

third term = 58

and finally,

fourth term = 4*(third term) + 2

fourth term = 4*(58) + 2

fourth term = 232 + 2

fourth term = 234

Answer:

Step-by-step explanation:

The formula for finding the total measure of all interior angles in a polygon is: (n – 2) x 180. In this case, n is the number of sides the polygon has. Some common polygon total angle measures are as follows: The angles in a triangle (a 3-sided polygon) total 180 degrees.

Answer:

628.32 or 628.31853071796

Step-by-step explanation:

V=πr²h or Volume equals pi r squared times h

V=pi*10²*2