Find sin(β) in the triangle.

Answer:

x = 5 pens

y = 7 pencils

Step-by-step explanation:

let

x = the number of pens

y = the number of pencils

Anthony spent $2.80 to buy a total of 12 pens and pencils

0.35x + 0.15y = 2.80

x + y = 12

by solving the system of equations

0.35x + 0.15y = 2.80

x + y = 12

we find

x = 5 pens

y = 7 pencils

Answer:

30 or -30

Step-by-step explanation:

y^2 = 900

Take the square root of each side

sqrt(y^2) = sqrt(900)

y = ±30

D.

D. natural numbers, whole numbers, and integers

Answer:

B and C

Step-by-step explanation:

Im pretty sure its those two

Answer:

2

Step-by-step explanation:

to find the slope you do rise over run (2/1)

Answer:

59

Step-by-step explanation:

The equation is

944 - 5x = 1180 - 9x

Notice what is being said. You start with 944 gallons and take off 5 per week

You also start with 1180 gallons and take on 9 per week.

You want to know when the two are equal. The second tank is larger, but it leaks more. That's what's going to bring about equality.

Add 9x to both sides

944 - 5x + 9x = 1180

944 + 4x = 1180                

Subtract 944 from both sides.

4x = 1180 - 944

4x = 236      

Divide by 4

x = 236/4

x = 59 weeks

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:

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:

x = 1. y = -3

Step-by-step explanation:

Add the two equations together and notice that all terms containing y will disappear, leaving with

10x = 10 or x = 1

Using this value of x into either one of the equations, you'll get

4(1) + 3y = -5 ---> 3y = -9 or y = -3

Answer:5

Step-by-step explanation: because it is

Answer:

5

Step-by-step explanation:

im smart lol

Answer:

120

Step-by-step explanation:

Given data

36 members are equivalent to 30%

Let the total number of students  be x

Hence

30% of x= 36

30/100*x= 36

0.3x= 36

divide both sides by 0.3

x= 36/0.3

x= 120 students

Hence the total number of students is 120

Answer:

Step-by-step explanation:

First equation:  −3x − 5 = 16

 Combine the constants:

 -3x = 21

  Solve for x using division:  x = 21/(-3)   or  x = -7

Second equation:  −4(y − 2) = 12

 Reduce this by dividing both sides by -4:  y - 2 = -3

 Add 2 to both sides, to isolate y:  y = -1

Answer:

The factors are:

Answer:

A.

Step-by-step explanation:

x-1 moves the graph to the right 1 and + 8 moves it up 8

this puts the vertex at (1,8) and the negative infront  of the x makes the graph point down like it is.

The function represented by the graph is : f(x)=-|x-1|+8

The correct option is (A).

A graph is a mathematical diagram which shows the relationship between two or more sets of numbers or measurements.

If we look at the graph, only the portion x-1 makes to move the graph to the right 1 and moves it up 8 which makes the coordinate (1,8).

Also, the negative at the front of x makes graph to move downwards.

Hence, the graph represented the function : f(x)=-|x-1|+8

learn more about graph here:

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Answer:

$32

Step-by-step explanation:

Answer:

32 dollars

Step-by-step explanation:

20% of $40 is 8

so you subtract 8 to get your answer

40-8 = 32

Answer: c=36

Step-by-step explanation: c/4-5=4

Add 5 to 4

c/4=9

9 divided by 1/4

C= 36

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:

60

Step-by-step explanation:

The perimeter is the measurement around an object.

So first you multiply the 20 and the 10 by 2.

20 * 2 = 40

10 * 2 = 20

Then, add then up!

40 + 20 = 60

Answer: 60

Step-by-step explanation:

10+10= 20 (both sides)

20+20=40 (other sides)

40+20=60 (total sides)

Answer:

log_(32)8= 3/5

Step-by-step explanation:

Log_(32)8 = m

write is as

32^m=8

(2^5)^m = 2^3

2^5m = 2^3

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

5m = 3

divide 5 on both sides to remove it from m

m= 3/5

Hope this helps!

The value of m is [tex]\frac{3}{5}[/tex].

'Logarithm is the exponent or power to which a base must be raised to yield a given number.'

According to the given problem,

⇒ [tex]log_{32}8[/tex] = m

⇒ m = [tex]log_{32}8[/tex]

⇒ m = [tex]\frac{log 8 }{log32}[/tex]

⇒ m = [tex]\frac{log(2)^{3} }{log(2)^{5} }[/tex]

⇒ m = [tex]\frac{3log2}{5log2}[/tex]

⇒ m = [tex]\frac{3}{5}[/tex]  

Hence, we can conclude, the value of m is [tex]\frac{3}{5}[/tex].

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Answer:

A  5   is the mode of the data

Answer:

Option C) 2 and 5

Step-by-step explanation:

Mode :- The only number which appears multiple times 

So 2 and 5 appears multiple times...

Answer:

I'm sorry I'm not very good at math, sorry I couldn't help

Answer: 215.2

Step-by-step explanation:

Since the mean of six numbers is 184.2, this means that their total sum will be:

= 184.2 × 6

= 1105.2

Since the mean of five of the numbers is 178, their total sum will be:

= 178 × 5

= 890

Therefore, the sixth number will be:

= 1105.2 - 890

= 215.2

The sixth number is 215.2

Answer:

3s + 9

Step-by-step explanation:

3 * (S+3) = 3 S + 9

Answer:

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

One fifty sold

Price

Total seats=400

Total price

So

Answer:

B.(3.0)

Step-by-step explanation:

took the test

Answer:

108 in.

Step-by-step explanation:

Multiply the sides of triangle by 4 and add them together and you get 108

(7x4)+(8x4)+(12x4)=

28+32+48 and you get 108

Answer:

C.   108 in

Step-by-step explanation:

28/7 = 4

XYZ is 4 times the size of ABC

Perimeter ABC

p = 7 + 8 + 12

p = 27

Perimeter XYZ

p = 4 * 27

p = 108 in

Answer:

Bulldogs

Step-by-step explanation:

3/8 is less then 1/2

3/8 is less than 4/5

3/8 is less than 2/3

Answer:

54mm

Step-by-step explanation:

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.