Dr. Montgomery recently graduated from medical school and his wife bought him an engraved stethoscope. The stethoscope cost $160.00. The sales tax in his city is 8%. What is the total cost of the stethoscope in dollars and cents including sales tax?

Answer:

B) x = 2√2, y = 2

Step-by-step explanation:

The easiest way to solve this is to see that because one corner is 90 degrees, and the other 45, then the third one must also be 45.  This means that the two sides on the right angle are the same length, so y = 2.

With that then, you can use the Pythagorean theorem to solve for x:

[tex]x = \sqrt{2^2 + 2^2}\\x = \sqrt{4 + 4}\\x = \sqrt{8}\\x = 2\sqrt{2}[/tex]

So the correct answer is b.  x is equal to two root two, and y is equal to two.

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(6,-2)

Equation Form:

x=6,y=-2

Step-by-step explanation:

The value of x is 6 and y is -2.

The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.

When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead.

Given:

y=x-8..................(1)

y=2x-14.................(2)

Substitute the value of y from equation (1) to equation (2), we get

x-8 = 2x- 14

2x - x = -8 + 14

x = 6

and, y= x-8

y= 6-8

y= -2.

Hence, the value of x is 6 and y is -2.

Learn more about Substitution Method here:

https://brainly.com/question/14619835

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Answer:

f(x)=1

Step-by-step explanation:

f(0)=-0+1

   =1

Answer:

k = 1

Step-by-step explanation:

16 - 2k = 14

- 16       - 16

    -2k = -2

     -2     -2

       k = 1

Answer:

A.)x=6

B.)x=16

did u mean to solve it or do something else if this is not the way u mean i can do another way if u like

Answer:

No

Step-by-step explanation:

3x-5= 4+2x

Or, x=4+5

x=9

Answer:

1/6

Step-by-step explanation:

there are 6 faces on a dice so there's a 1 in 6 chance that you would roll a 3 on your second go there is still only a 1 out of 6 chance of getting a 5 because there is still 6 numbers you could roll on.

hope this helped

Answer:

9

Step-by-step explanation:

Absolute value means the distance from 0 on a number line, and -9 is 9 spots away from 0

Answer:

9

Step-by-step explanation:

Absolute value just means the positive value of the number

Answer:

x = 35

Step-by-step explanation:

[tex]40 + 2x + 2x = 180[/tex]

Subtract 40 on both sides.

[tex]2x + 2x = 140[/tex]

[tex]4x = 140[/tex]

Divide with 4 on both sides.

[tex]x = 35[/tex]

Answer:-13/3

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

f(x) = (x-2)^5  +3

Let f(x) = 35

35 = (x-2)^5  +3

Subtract 3 from each side

35-3 = (x-2)^5  +3-3

32 = (x-2)^5

Take the fifth root of each side

32 ^ (1/5) =  (x-2)^5^ 1/5

2 = x-2

Add 2 to each side

2 +2 = x-2+2

4 =x

Answer:

Length of ladder =L =15

Distance from wall = D =9

Height on wall = H =??

Pythagoras equation L*L = D*D + H*H

15×15= (9×9) + H×H

225-81 = 144 =HxH

H= 12 feet.

I am right or wrong

please check

Answer:

5 ✓ 3

Step-by-step explanation:

using Pythagoras Theory

(5 ✓ 6 )2 =, 2 x square side

square leg length= 150/ 2=, 75

length =5 ✓ 3

Answer:

C. and A.

Step-by-step explanation:

1/6 is a positive number so that is automatically greater than -0.33 and 0.3 is  It's like, the bigger the number next to the negative sign, the MORE NEGATIVE it is, making it SMALLER.

Reward for answering question correctly:

So am I gonna get brainliest?

Hi it's Mia! '^' Give the other person brainliest, They worked hard to get the answer you needed! Have a wonderful day! :)

Answer:

32

Step-by-step explanation:

QC = 16 and CS = 16 so 16 + 16 = 32

Answer:

step by step below

Step-by-step explanation:

p+7≤16

p +7 - 7≤ 16 - 7

p ≤ 9

7p>-28

7P/7 > - 28/7

p> -4

or

-4 < p ≤ 9

A = Not sure

B= 12.0

Hope I helped

Answer:

3. (2, 1)

Step-by-step explanation:

The solutions are the points located inside the shaded region. The only point not located in that region is the point (2, 1). Therefore, (2, 1) is not a solution to the system of inequalities.

y = 2x - 4

y = 4x - 6

y = 3x - 4

that's what i got

Answer:

4

Step-by-step explanation:

Answer:

The y-value (output) is equal to 1

Step-by-step explanation:

f(x) = 1

f(x) takes the place of y, so this could be rewritten as

y = 1

Answer:

They are equal.

Step-by-step explanation:

In my opinion 1/3 is grater because three 1/3's makes a whole. 30% three times is only 90% of the whole.

Answer:

Im pretty sure it would just be g= -p+15

Step-by-step explanation:

I really hope this helps, if not I am so sorry

Answer:

G= 1/6p -15

Step-by-step explanation:

Let's solve for g.

p=6g+90

Step 1: Flip the equation.

6g+90=p

Step 2: Add -90 to both sides.

6g+90+−90=p+−90

6g=p-90

Step 3: Divide both sides by 6.

6g/6 = p−90/6g

=1/6p−15

Answer:

LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]

Step-by-step explanation:

Least Common Multiple

We are given the polynomials

[tex]5m^7+ 35m^6+50m^5[/tex]

[tex]-20m^5-80m^4+100m^3[/tex]

Find the common factors of each polynomial, first the coefficients:

5 = 5

35 = 5*7

50 = 5*5*2

The common factor with the least exponent; 5

Now for the variables:

[tex]m^7, m^6, m^5[/tex]

The common factor with the least exponent; m^5

LCM of [tex]5m^7+ 35m^6+50m^5: 5m^5[/tex]

Similarly:

20 = 2*2*5

80=2*2*2*2*5

100 = 2*2*5*5

Common factor of the coefficients: 2*2*5=20

Common factor of variables: [tex]m^3[/tex]

LCM of [tex]-20m^5-80m^4+100m^3 = 20m^3[/tex]

LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]

Answer:

49

Step-by-step explanation:

7*7=49

Answer:

B: 48π cubic centimeters

Step-by-step explanation:

A: 216π cubic centimeters

B: 48π cubic centimeters

C: 144π cubic centimeters

D: 192π cubic centimeters

Volume of the paper cone cup = 1/3πr²h

Diameter = 8 cm

Radius, r = diameter / 2

= 8 cm / 2

= 4 cm

Height, h = 9 cm

Volume of the paper cone cup = 1/3πr²h

= 1/3 × π × 4² × 9

= 1/3 × π × 16 × 9

= (1 × π × 16 × 9) / 3

= 144π / 3

= 48π cm³

Volume of the paper cone cup = 48π cm³

Answer:

porcupine

Step-by-step explanation:

6300g = 6.3 kg

Step-by-step explanation:

the porcupine has more mass