If p=4 and q=2, evaluate the following expression:30/p+q​

Step-by-step explanations

(3x - 6) ÷( x - 2) = (3x - 6)

( x - 2)

= 3( x - 2)

1( x - 2)

=. 3

Answer:

Step-by-step explanation:

This rational expression is:

3x - 7

---------

 x - 2

There's one excluded value, which is 2.  If x = 2 the expression is undefined.

Answer:

Point P

Step-by-step explanation:

The absolute value of a number is what the number is equal to without the negative sign. As P is -6, it's absolute value is 6.

Answer:

Implicit Form: 4x + y - 52 = 0

Step-by-step explanation:

8x + 2y = 104 => Move constant to the left and change the sign

8x + 2y - 104 = 0 => Divide both sides of the equation by 2

4x + y - 52 = 0

Hope this helps!

Answer:

x = 5

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc.

∠X is an inscribed angle and arc QRS is its intercepted arc.

arc QRC has a measure of 122 + 76 = 198

Therefore, m∠X = 1/2(198) = 96

So, 19x + 1 = 96

19x = 95

x = 5

Let's use the distributive property to simplify this problem.

The first thing we want to do is change the minus to plus a negative.

Now distribute or multiply the 2 by each of the terms inside the parentheses.

So we get 2(3y) + 2(-4) and this simplifies to 6y + -8

Note that if you wrote your answer as 6y - 8, it means the same thing.

Answer:

Part A

The required wood for the ladder is 98 feet

Part B

The cost of the wood is 49,000

Step-by-step explanation:

Part A

The dimensions of the ladder to be made with wood are;

The distance between each step of ladder = 1 foot

The length of the ladder = 25 feet

The width of the ladder = 2 feet

The required wood = 2 × 25 feet/rail + 2 feet/steps × 24 steps = 98 feet

The required wood for the ladder = 98 feet

Part B

The cost of the wood = 500/foot × 98 feet = 49,000

The cost of the wood = 49,000

Answer:

18/999

Step-by-step explanation:

Answer:

2/111 = 18/999

Answer:

Slope: [tex]\frac{3}{5}[/tex]

Y-Intercept: [tex](0,-5)[/tex]

Step-by-step explanation:

1. To find the slope, we need to have the equation in slope-intercept form, which is [tex]y=mx+b[/tex]. In this case, our equation is already in this form. [tex]m[/tex] is what your slope is. In this case, our

2. To find the y-intercept we look at value [tex]b[/tex] that is in [tex]y=mx+b[/tex]. In this case, [tex]b[/tex] is [tex]-5[/tex]. So, our ordered pair is [tex](0,-5)[/tex].

Answer:

Slope: 3/5

Y int: (0,-5)

Step-by-step explanation:

The total distance around the track is 332.2 meters

The complete question is in the attached image

The given parameters are:

Radius, r = 25 m

Length, l = 87.6 m

Start by calculating the circumference of the two semi-circular ends using:

[tex]C = 2\pi r[/tex]

So, we have:

C = 2* 3.14 * 25

Evaluate

C = 157

The total distance around the track is then calculated as:

Total = 2l + C

This gives

Total = 2 * 87.6 + 157

Evaluate

Total = 332.2

Hence, the total distance around the track is 332.2 meters

Read more about perimeter at:

https://brainly.com/question/24571594

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Answer:

Step-by-step explanation:

"100" or any constant at the end of the equation is r² (radius squared). So, the radius is 10.

the center of the circle is (-6, 2)

the equation template of a circle is (x -h)² + (y - k)² = c

(h,k) is the center of the cirlce.

Answer:

B = 212 feet

Step-by-step explanation:

Given that,

The angle of depression, [tex]\theta=27^{\circ}[/tex]

The height of the lighthouse, h = 108 feet

We need to find the horizontal distance from the boat to the base of the lighthouse. It can be calculated using trigonometry as follows :

[tex]\tan\theta=\dfrac{h}{B}[/tex]

Where

B is the horizontal distance

[tex]B=\dfrac{h}{\tan\theta}\\\\B=\dfrac{108}{\tan(27)}\\\\B=211.96\ ft[/tex]

or

B = 212 feet

So, the horizontal distance from the boat to the base of the lighthouse is 212 feet.

Answer:

C. 12

Explanation:

Sana makatulong :,-)

Answer:

(12,-8)

Step-by-step explanation:

scale factor is 4

(x,y)=(4x,4y)

(3,-2)=(12,-8)

Answer:

114 is an improper fraction as numerator 11 is greater than 4, the denominator. Step 2: We divide 11 by 4, and get 2 as a quotient and 3 as a remainder which is written as proper fraction 34.

Answer:

81/7

Step-by-step explanation:

multiply the denominator by the whole number

7*11=77

then add the numerator to the answer

77+4= 81

put the new number over the denominator.

81/7

Answer:

a = 4, b = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{8-3\sqrt{2} }{2}[/tex] = a + b[tex]\sqrt{2}[/tex] ( multiply both sides by 2 to clear the fraction )

8 - 3[tex]\sqrt{2}[/tex] = 2a + 2b[tex]\sqrt{2}[/tex]

For the 2 sides to be equal , then

2a = 8 ( divide both sides by 2 )

a = 4

and

2b = - 3 ( divide both sides by - 2 )

b = - [tex]\frac{3}{2}[/tex]

Answer:

x < -4

Step-by-step explanation:

2(-3x - 4) > 16

-6x - 8 > 16

-6x > 16 + 8

-6x > 24

-x > 4

x < -4

Answer:

x < -4

Step-by-step explanation:

2(-3x - 4) > 16

Distribute.

-6x - 8 > 16

Add 8 to both sides.

-6x > 24

Divide by -6. When dividing by a negative, flip the sign.

x < -4.

Answer:

-99232

Step-by-step explanation:

PEMDAS

Solve in the brackets/parenthesis and expand out

4*9=36*3=108-12=96

Now we have (96)*8-10^5

Next up is exponents so -10^5 is -100000

Next is multiplication so  (96)*8=768

Lastly is subtraction: 768-100000= -99232

Scientific notation of this answer is -9.9232*10^4 (depends which answer they are looking for)

Answer:

1587.6 m²

Step-by-step explanation:

[tex]A=\frac{1}{2} bh[/tex] where b is the base length and h is the height (b and h on the triangle will always be perpendicular to each other)

Plug in 75.6 m as b and 42 m as h

[tex]A=\frac{1}{2} (75.6)(42)\\A=\frac{1}{2}( 3175.2)\\A=1587.6[/tex]

I hope this helps!

Answer:

27 girls and 18 boys

Step-by-step explanation:

you need to divide the 45 pupils into 60 and 40 percent to

Answer:

We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle, that is, to find unknown parts in terms of known parts.

Step-by-step explanation:

Pythagorean theorem:   a2 + b2 = c2.

Sines:   sin A = a/c, sin B = b/c.

Cosines:   cos A = b/c, cos B = a/c.

Tangents:   tan A = a/b, tan B = b/a.

Answer:

---------

Step-by-step explanation:

x-3= -9

x= -9/ 3

x= -3

( -3x)-5 =16

-3x = 16+5

×= 21/-3

x = -7

Answer:

p

Step-by-step explanation:

Absolute value cancels negative so the greatest would be P.

have a nice day and i hope this helps! <3

1/4y

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Answer:

y/4

Step-by-step explanation:

for 4xy^2/16xy we can simplify the x's and one y's and divide both parts by four which leaves us with:

y/4

Answer:

.70833

Step-by-step explanation:

Divide 8.5 by 12 since there are 12 inches in 1 foot

Answer:

.71 feet

Step-by-step explanation:

If you need an explanation then let me know in comments

9514 1404 393

Answer:

  x = -6

Step-by-step explanation:

The curve is symmetrical about the vertical line through the minimum point. That minimum is 6 grid squares left of the y-axis, so the equation is ...

  x = -6

Answer:

[tex]a_{n}[/tex] = 20 - 9n

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 2 - 11 = - 7 - 2 = - 9

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = - 9 , then

[tex]a_{n}[/tex] = 11 - 9(n - 1) = 11 - 9n + 9 = 20 - 9n