4. A box contains cards that are numbered from 1 to 100. What is the
probability of randomly selecting a number that is less than 12? *
1/100
1/12
11/100
12/100

Answer:

angle 3 = 27 degrees

Step-by-step explanation:

Answer:

Angle 3 = 27

Step-by-step explanation:

Because the interior angles of a triangle always add up to 180 degrees, you can do 180 - 82 - 71 = 27 degrees for the third angle.

Answer:

-2x+8

32x+8-34x

32x-34x=-2x

-2x+8

Answer:

x = 149, cars and 51 motorcyles

Step-by-step explanation:

4x + 2(200-x) = 698

2x = 298 x = 149, cars and 51 motorcyles

Answer:

There are no simple factors to this expression.  You can however solve for x, giving you:

x = -1 ± √(y + 3)

Step-by-step explanation:

There is no simple pair of factors to this equation, so we'll have to go through the full process.  You can see that by observing that there is no pair of rational numbers that add to make 2 and multiply to make -2.  We can however solve for x:

[tex]y = x^2 + 2x - 2\\y + 2 = x^2 + 2x\\y + 3 = x^2 + 2x + 1\\y + 3 = (x + 1)^2\\(x + 1)^2 = y + 3\\x + 1 = \pm \sqrt{y + 3}\\x = -1 \pm \sqrt{y + 3}[/tex]

Answer:

We would multiply the first equation by -3  to eliminate the x-term.

Step-by-step explanation:

Given the system of equations

y = x+2                Equation 1

3x+3y = 6           Equation 2

Multiply the Equation 1 by -3

-3y = -3(x+2) ⇒ -3y = -3x-6 ⇒ -3x+3y = 6

Thus, equation 1 becomes

-3x+3y = 6

Now, adding equation 2

-3x+3y = 6

+

3x+3y = 6

________

0x + 6y = 12

6y = 12

y = 2

Therefore, we would multiply the first equation by -3  to eliminate the x-term.

[tex]f(x) = \dfrac{1}{2x} \\~\\~\\f(-2) = \dfrac{1}{2\cdot(-2)} \\~\\~\\f(-2) = -\dfrac{1}{4} \\~\\~\\f(-2) = -0.25[/tex]

Answer:

The original number is 83

Step-by-step explanation:

let the number be ab

Sum of the two is 11

a + b = 11

tens digit a is one less than 3 times the ones digit

3b - a = 1

a = 3b - 1

3b -1 + b = 11

4b = 11 + 1

4b = 12

b = 12/4

b = 3

a = 3b - 1

a = 3(3) - 1

a = 9-1

a = 8

Answer:

Step-by-step explanation:

....... .

The value of the variable h is greater than 75.5 that means at 75.5 there will be an open circle.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

h > 75.5

The value of the variable h is greater than 75.5 that means at 75.5 there will be an open circle.

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Answer:

Find the exact value using trigonometric identities.

Exact Form: x=34

Decimal Form: x=0.75

Step-by-step explanation:

The value of x is 3.

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

[tex]9^{-1/2} = 27^{1/4}[/tex]÷[tex]3^{x +1}[/tex]

[tex][3^{2}]^{{-1/2}} = [(3)^{4}]^{1/4}[/tex] ÷[tex]3^{x +1}[/tex]

[tex]3^{-1}[/tex] = 3 ÷[tex]3^{x +1}[/tex]

[tex]3^{-1}[/tex]= [tex]\frac{3}{3^{x+1}}[/tex]

[tex]3^{-1}= 3^{1-x+1}[/tex]

[tex]3^{-1}= 3^{2-x}[/tex]

On comparing we get,

-1=2-x

x= 3

Hence, the value of x is 3.

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Answer:

176•74

Step-by-step explanation:

area of circle is πr^2

π=3•142

r=7•5

3•142×7•5×7•5

=176•737

176•74

Answer:

5 miles per hour/second

Answer:

solving the inequality [tex]-31>x-48[/tex] we get: [tex]\mathbf{x<17}[/tex]

Step-by-step explanation:

We need to solve the inequality [tex]-31>x-48[/tex]

Solving the inequality and finding value of x:

[tex]-31>x-48[/tex]

First we will be switching sides i.e. left hand side will become right hand side and right hand side will become left hand side.  In doing so, the inequality sign i.e. > will be reversed and changed with <

[tex]x-48<-31[/tex]

Now, for finding value of x, we will be adding 48 on both sides

[tex]x-48+48<-31+48\\x<17[/tex]

The value of x is less than 17 i.e. [tex]\mathbf{x<17}[/tex]

So, solving the inequality [tex]-31>x-48[/tex] we get: [tex]\mathbf{x<17}[/tex]

Answer:

y = -x + 6

Step-by-step explanation:

Slope is -1 y-intercept is 6

Answer:

90

Step-by-step explanation: by taking 10% off of 900, you get 810; meaning 90 was subtracted

The number of units the 10% sales decline represents is 90

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"

Given here projected sales = 900 but the actual sales is 10% less than this amount , thus  actual sales = 900 - 10% of 900

                                             = 900 -( 10/100 )×900

                                             = 900 - 90

                                             = 810  

 Hence,  the number of units the 10% sales decline represents is     900-810 =90

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Answer:

I dont know that try asking one of the tutors one here

Answer:

which one?

Step-by-step explanation:

Answer:

Question 13: 2

Question 14: -10

Step-by-step explanation:

Answer:

About 32 times

TABLE T

WHY?

BECAUSE THE SAME VALLUE OF X (4) HAS DIFFERENT IMAGES IN Y

It is a right triangle. The distance is the hypotenuse of the triangle.

Use the Pythagorean theorem:

Distance = sqrt(3^2 + 2^2)

Distance = sqrt( 9 + 4)

Distance = sqrt(13) (exact distance)

As a decimal sqrt(13) = 3.60555

Answer:

i)  (x -y) -y  = 11

ii) (x+y) + x² = 8

iii) The two pairs (( 3 , -4)) and ( ( 3 ,4) satisfy the equation   x² + y² = 25

Step-by-step explanation:

Step(i):-

Given that x =3 and y=-4

i)  (x -y) -y = (3-(-4))-(-4) = 3+4+4 = 11

ii) (x+y) + x² = ( 3 -4) + (3)² = -1 + 9 = 8

Step(ii):-

Given equation  

                    x² + y² = 25

we can choose (x,y) = ( 3 , -4)

                 3²+(-4)² = 25

                     25    = 25

The ordered pair ( 3,-4) satisfies the equation

second ordered pair ( 3 ,4)

                        x² + y² = 25

                       9 + 16 = 25

                           25 = 25

Final answer:-

i)  (x -y) -y  = 11

ii) (x+y) + x² = 8

iii) The two pairs (( 3 , -4)) and ( ( 3 ,4) satisfy the equation   x² + y² = 25

9514 1404 393

Answer:

  $25

Step-by-step explanation:

Let p represent the monthly payment. There are 5 of them, so the amount of their total is 5p. That, together with the down payment, makes up the entire cost of the system.

  5p +25 = 150 . . . . an equation representing the relationships

__

To solve this, subtract 25 and divide by 5.

  5p = 125

  p = 125/5 = 25

Each monthly payment is $25.

Answer:

split

Step-by-step explanation:

Answer:

convert 2/5 to a decimal, which is 0.4

multiplying a value by 10 means you should move the decimal point one unit to the right

so 10 x 2/5 = 4

Step-by-step explanation:

Answer:

i should multiply 10 by 2/5

10×2/5

=20/5

=4

Answer: I do not think that failing one class will effect your entire 6th grade year. Although, this is best discussed with your teachers or parents/guardians.

Answer: 1

Step-by-step explanation:

Answer:

I hope this helps. When you're drawing yours, make this widths of the bars the same. Leave a gap before drawing your bars.

Please give brainliest.

I've you don't understand something, please comment

Answer:  35,000

Step-by-step explanation: