Find the length of side x in simplest radical form with a rational denominator.
60
X
30
6

The two angles are supplementary angles and when added together equal 180 degrees.

3x -12 + x+2 = 180

Simplify:

4x -10 = 180

Add 10 to both sides

4x = 190

Divide both sides by 4

X = 190/4

X = 47.5

Answer:

greater than

Step-by-step explanation:

2/2 = 1

3/2 = 1 1/2

Answer:

x [tex]\leq[/tex] -4

Step-by-step explanation:

1. 3x-12 [tex]\geq[/tex] 7x+4

add 12 to 12 to cancel it out, add 12 to 4.

2. 3x [tex]\geq[/tex] 7x+16

subtract 7x from 7x to cancel it out, subtract 7x from 3x.

3. -4x [tex]\geq[/tex] 16

divide -4 from -4x to cancel it out, divide -4 from 16.

4. x [tex]\geq[/tex] -4

since division was involved, the inequality symbol needs to be reversed.

ANSWER: x [tex]\leq[/tex] -4

Answer:

the answer is

y - 2y = 1/5

-y = 1/5

y = -1/5

Answer:

y=-1/5 or y=-0.2

Step-by-step explanation:

y=2y+1/5

-1/5=2y-y

-1/5=y

y=-1/5

Answer:

j=7

Step-by-step explanation:

10=2j-4                          add 4 on both sides

10+4=2j                        

14=2j                                divide by 2 on both sides

7=j

Answer:

AE=22.4

Step-by-step explanation:

BE is 1/2 of BC

BC is 20 cm                 All sides of a square are equal

BE = 1/2 BC                  Property of a midpoint.

BE = 10

Now just use Pythagorus

AB^2 + BE^2 = AE^2

AE^2 = 20^2 + 10^2   Perform the sqrs

AE^2 = 400 + 100      Add the terms

AE^2 = 500                Take the square root of both sides

√AE^2 = √500

AE = 22.36

AE ≈ 22.4

9514 1404 393

Answer:

  a9 = -8 +9(9 -1)

Step-by-step explanation:

The given sequence has a common difference of 1-(-8) = 10-1 = 9, and a first term of -8. The formula for the n-th term of such an arithmetic sequence is ...

  an = a1 +d(n -1) . . . . . first term a1, common difference d

For the parameter of this sequence, a1=-8 and d=9, the n-th term is ...

  an = -8 +9(n -1) . . . . formula for the n-th term

__

Then the formula for the 9th term is ...

  a9 = -8 +9(9 -1)

Answer:

the second option (middle)

Step-by-step explanation:

Answer: 14 tons

$3,860.50

Step-by-step explanation:

Let x = the amount of sugar transported.

First company:

The cost is $3157 truck rental plus $50.25 per ton of sugar.

Total cost = 3157 + 50.25x dollars

Second company:

There is no charge for truck rental, but it costs $275.75 per ton of sugar.

The total cost is

275.75x

When the two costs are the same, then

275.75x = 3157 +50.25x

225.5x = 3157

x = 14 tons

The total cost is 275.75*14 = $3,860.50

Answer:

16 pounds of sugar

The initial cost to transport it would be $4812

Okay

So lets do company 1=a

2=b

So the equation for company a is

3604+75.5x

The second one is

300.75x

Now I would find the LCM

So I just predicted (guess and check)

so obviously 15 can be a good shot but that off a little bit,

16

so if you plug in 16 for each options for X

3604+75.5*16= 4812

The second company

300.75*16=4812

SO their the same

So 4812 cost, 16 tons

Find total marbles:

8 + 15 + 17 = 40 total marbles.

There is 8 red, so picking red first would be 8/40, which can reduce to 1/5.

After taking 1 marble there would be 39 marbles left.

Picking blue would be 15/39, which reduces to 5/13

The probability of doing both is

1/5 x 5/13 = 5/65, which reduces to 1/13

The answer is B. 1/13

Answer:

x+-3

Step-by-step explanation:

Answer:

x = 55/3

Step-by-step explanation:

1/5x - 3 = 2/3

You want to move the constant of 3 to the right side.

1/5x = 2/3 + 3

To combine 2/3 and 3, set a common denominator.

1/5x = 2/3 + 9/3

Add.

1/5x = 11/3

Divide by 1/5 or multiply by 5/1 to isolate x.

x = 11/3(5/1)

x = 55/3

Answer:

[tex] \frac{1}{5} x - 3 = \frac{2}{3} \\ \frac{1}{5} x = 3 + \frac{2}{3} \\ \frac{1}{5} x = \frac{11}{3} \\ \boxed{x = \frac{55}{3} }[/tex]

x= 55/3 is the right answer.

Answer:The x-axis is a horizontal line with the equation y = 0. The line parallel to the x-axis through the given point is y = 4, which is another horizontal line which has a slope of 0, which is true of any horizontal line.

Answer:

6.69 grams

Step-by-step explanation:

12 * .4425 = 5.31

12 - 5.31 = 6.69

Answer:

1/2

Step-by-step explanation:

As cosx= 2sinx,

now,

so, sinxcosx = sinx(2sinx) = 2 sin²x

Again,

2sin²x =1

sin²x= 1/2

sinx = 1/ root 2

sinx = sin 30

x = 30

Answer:

a) 0.398 = 39.8% probability that the sample contains exactly one defective item.

b) 0.9021 = 90.21% probability that the sample contains at most one defective item.

Step-by-step explanation:

The itens are chosen without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Suppose there are 3 defective items in a lot (collection) of 50 items

This means that [tex]k = 3, N = 50[/tex]

Sample of 10

This means that [tex]n = 10[/tex]

(a) exactly one defective item.

This is P(X = 1). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 1) = h(1,50,10,3) = \frac{C_{3,1}*C_{47,9}}{C_{50,10}} = 0.398[/tex]

0.398 = 39.8% probability that the sample contains exactly one defective item.

(b) at most one defective item.

This is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]. So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,50,10,3) = \frac{C_{3,0}*C_{47,10}}{C_{50,10}} = 0.5041[/tex]

[tex]P(X = 1) = h(1,50,10,3) = \frac{C_{3,1}*C_{47,9}}{C_{50,10}} = 0.398[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5041 + 0.398 = 0.9021[/tex]

0.9021 = 90.21% probability that the sample contains at most one defective item.

Step-by-step explanation:

Volume of square pyramid

= (Base length)² * (Height/3).

Therefore we have 8 = 2² * (h/3).

=> 8 = 4 * (h/3), h/3 = 2, h = 6.

Hence the height is 6 feet. (1)

Answer:

45%

Step-by-step explanation:

200g milk chocolate

200g dark chocolate

= 400g of chocolate

x = the %

x/100 = 180/400

18000 = 400x

x = 45

45%

Step-by-step explanation:

Total price = Marked price + Sales tax

= Marked price + (0.1 * Marked price)

= 1.1 * Marked price.

Since the total price is $660, the marked price is $660 / 1.1 = $600.

Answer:

- 104

Step-by-step explanation:

Assuming the question is to evaluate the expression.

Given

- 3m² + 4n - p ← substitute given values for m, n and p

= - 3(- 6)² + 4(2) - 4

= - 3(36) + 8 - 4

= - 108 + 4

= - 104

Answer:

48 centimeters by 27 centimeters

Step-by-step explanation:

we need the ratio of 16:9

option a) 48:27 ( divide by 3 each side) --> 16:9

answer

The 3 lb bag of cat food would last for 4 weeks.

Step-by-step explanation:

Answer:

m<HGI= 8.32

Step-by-step explanation:

4x+3=7x-1

3=3x-1

4=3x

1.33=x

______________________

4*1.33+3=8.32

i dont know if this is true so mark me on that

i will get it wrong too if it is wrong.

The measure of angle HGI from the given rhombus is 35°.

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square. Look at the image below to understand the relationship of rhombus shape with parallelogram and square.

The given quadrilateral FGHI is a rhombus.

In a rhombus, diagonals bisect each other at right angles.

Here, (7x-1)°+(4x+3)°+90°=180°

11x+92=180

11x=88

x=8

Now, 4x+3=35°

So, m∠HGI=35° (Alternate interior angles)

Therefore, the measure of angle HGI is 35°.

Learn more about the rhombus here:

https://brainly.com/question/27870968.

#SPJ2

Answer:

He will is able win

Step-by-step explanation:

Answer:

he is able to win

Step-by-step explanation:

Answer:

C. The shaded area represents both 2/3 and 6/9 of the whole shape.

Answer:

275 days

Step-by-step explanation:

From August 21 to May 23, there is 275 days!

Answer:

28 mph  

Step-by-step explanation:

I dont know if this helped but if it did then your welcome? I dont know if this helped sorry TwT

If it's wrong ill come back to correct myself.

Answer

See image.

Step-by-step explanation: