please show the work of how you got the answer please :)

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:

About 32 times

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:

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

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:

A

Step-by-step explanation:

because for each 6 you have 2

We can represent the number of potential outcomes by 2 to the power 6.

'In mathematics, permutation relates to the act of arranging all the members of a set into some sequence or order.

The combination is a way of selecting items from a collection, such that the order of selection does not matter.'

'The power of a number says how many times to use the number in a multiplication. Powers are also called exponents or indices.'

According to the given problem,

We can assume, for two choices, we have one decision.

This can be represented as [tex]2^{1}[/tex].

Since, we have six decisions,

Representation of the potential outcomes ⇒[tex]2^{1}+2^{1} +2^{1} +2^{1} +2^{1} +2^{1}[/tex]

                                                                       =  [tex]2^{6}[/tex]

                                                                       = [tex]64[/tex]

Hence, the representation of the number of potential outcome is 2 to the power 6.

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Answer:  35,000

Step-by-step explanation:

Answer:

5 miles per hour/second

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

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

Answer:

3gallons per minute

Step-by-step explanation:

Answer:

P = 0.5c - 75

Step-by-step explanation:

Profit is = selling price. - cost price

Cost price is the amount the supplies were bought = $75

The cost of c cups at $0.5 per cup will be

0.5 * c = $0.5c

The profit here is thus;

P = 0.5c - 75

Answer:

split

Step-by-step explanation:

Answer:

root 50

Step-by-step explanation:

Pythagorean theorem d is the hypotenuse

Answer:

5/2

Step-by-step explanation:

/50 if you do a2+b2=c2 and c=d

Answer:

c = √18

Step-by-step explanation:

c² = 3² + 3² = 18

so c = √18 = 3√2 ≈ 4.24

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.

Answer:

x = 149, cars and 51 motorcyles

Step-by-step explanation:

4x + 2(200-x) = 698

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

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:

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

Answer: 1

Step-by-step explanation:

Answer:

Consider all the info you are given:

The monthly allowance is 2 GB...this is basically how much data is included in the the plan so that the monthly pymt is the same every month. When the GBs used goes pass 2GB...there is a cost to that.

You're given C(x) = 30x + 50, the monthly cost of the plan

'x' is the GB of data used OVER the allowance (2GB.)

They put over in italics to give you a hint to the solution.

(a) C(0.7) is the cost when the data used goes over 2GB by 0.7 GB. C(0.7) = 30(0.7) + 5 = 26

The college student would pay $26 when they use an extra 0.7GBs (pass the allowance.)

(b) This part to the problem wants you to figure out how much the overage, pass the 2GBs, the college student can go and only end up paying $50 (the set budget)

So you the solve for x by setting C(x) = 50

30x + 5 = 50

30x = 50 - 5 = 45

x = 45/30

x = 1.5

Remember x is the overage (the GBs over the allowances), so to stay at budget, the college student can use 3.5 GBs of data (2GBs + 1.5 GBs) only pay $50 that month.

Hope this helps...

Answer:

Y=4

Step-by-step explanation:

The line is horizontal, which means that variable would be 4. The line starts at 4, which mean the equivalent of the variable is 4.

Answer:

on what

Step-by-step explanation:

Answer:

Nothing showed up :/

Step-by-step explanation:

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:

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:

-2x+8

32x+8-34x

32x-34x=-2x

-2x+8

Answer:

2/5

Step-by-step explanation:

you go up 2 to the right 5

Answer:

2/5 or .20

Step-by-step explanation:

m=rise/run

m=20/50 which simplifies to 2/5 because you divide 10 on the top and bottom

m=2/5