noah has d dimes and q quarters. he has no less than 17 coins altogether. write this situation as an inequality​

9514 1404 393

Answer:

  [tex]\dfrac{20+5\sqrt{3}}{13}[/tex]

Step-by-step explanation:

Multiply numerator and denominator by the "conjugate" of the denominator.

  [tex]\dfrac{5}{4-\sqrt{3}}=\dfrac{5(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}=\dfrac{20+5\sqrt{3}}{4^2-(\sqrt{3})^2}=\boxed{\dfrac{20+5\sqrt{3}}{13}}[/tex]

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This is done in different scenarios in order to take advantage of the factoring of the difference of squares. Square root terms and imaginary terms in the denominator can be eliminated in this way.

  a² - b² = (a -b)(a +b)

Answer:

1. 13+10i

2. 28-(-4i)

3. -14-1i

4. 4 -i

5. 15+ 10i

6.8 - 5i^2

Step-by-step explanation:

Answer:

I think it is 8.

Step-by-step explanation:

But I might be wrong.

Answer:

36 sides

Step-by-step explanation:

360 degrees divided by the number of sides equals the rotation degrees. So in order to have your polygon map itself after rotating 10 degrees, it would have to have 36 sides. 360/36 = 10.

Answer:

I'm confused

Step-by-step explanation:

What am I suposed to do?

Step-by-step explanation:

let y= -4x+60

4x= 60-y

x= 3/2-y/4

f'(x) = 3/2- x/4

Answer:

I hope this is right

Step-by-step explanation:

Answer:

1.90 I believe this is the answer. Hope this helps! Have a great day!

Answer:

ok i will try my best to give your questions answer

Step-by-step explanation:

thankyou for free point

Answer:

-0.025

Step-by-step explanation:

Answer:

The area would be 168ft. The rectangle's area would be 144ft, and the triangle's area would be 24ft.

Rectangle:

18×8=144

Triangle:

8×3=24

Answer:

The area is 168

Step-by-step explanation:

Instead of trying to find the area of the trapezoid, you can easily figure out the area of the rectangle and triangle present in the picture.

first, multiply 18 by 8 to get the area of the rectangle. 18 x 8 = 144

Then, use the equation for area of triangle L x W/ 2 = A

(6 x 8)/2 = 24

add these 2 values.

24 + 144

168 is your final  answer

Answer:

-9x+5

Step-by-step explanation:

-6*x = -6x

-6*2 = -12

-6x-12+-3x+17

-6x+-3x = -9x

-12+17 = 5

-9x+5

Answer:

-9x+5

Step-by-step explanation:

Distribute:

-6x-12-3x+17

Combine like terms:

-9x+5

Final answer:

-9x+5

Hope this helps plz hit the crown :D

Answer:

the 6 lane track will be 0.64 feet wider than the 7 lane track

Step-by-step explanation:

28.68÷6=4.78

28.98÷7=4.14

4.78-4.14=0.64

Answer:

Open dot on positive 2, arrow going to the left <----0

Step-by-step explanation:

Answer:

x < 2  

Step-by-step explanation:

Answer:

Melissa = D

Victor = C

Step-by-step explanation:

Answer:

D, then C

Step-by-step explanation:

D because melissa needs money so x + 35 greater than or equal to is the best option

C because victor spent $20 before so 0.5x - 20 greater than or equal to 500 is the best option

Answer:

Step-by-step explanation:

The vertex form of  the equation of the parabola with vertex (h, k)   is:

y = a(x - h)² + k  

So  the equation of the parabola with vertex (3, 4):

y = a(x - 3)² + 4

The parabola passes through point (2, -2) so if x=2 then y=-2

- 2 = a(2 - 3)² + 4

- 2 -4 = a(-1)² + 4 -4

- 6 = a

So, the equation written in vertex form of a parabola with a vertex of (5, 7) that passes through (2, -2):

                                       y = - 6(x - 3)² + 4  

Answer:

The rental costs $2 per mile (third from top answer)

Reasoning:

The graph on the side follows the slops of y=2x (rise of 2, run of 1) , therefore at x=1, we know that the y value must be 2.

Meaning The third option (The rental costs $2 per mile) is the only

correct answer

I hope this helps you and good luck!

9514 1404 393

Answer:

  y = 1

Step-by-step explanation:

Recognize that 25 and 125 are powers of 5 and rewrite the equation in terms of powers of 5.

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)/(a^c) = a^(b-c)

  (a^b)(a^c) = a^(b+c)

__

Your equation can be written as ...

  [tex]25^4\div5^{5y}=125^y\\\\(5^2)^4\div5^{5y}=(5^3)^y\\\\5^{8-5y}=5^{3y}\\\\8-5y=3y\qquad\text{equate exponents of the same base}[/tex]

Now this can be solved as an ordinary linear equation.

  8 = 8y . . . . . . add 5y to both sides

  1 = y . . . . . . . divide by 8

The solution is y = 1.

Answer:

1/-5 should be the answer

⟹Answer:

➧Lucas can cut the wire into 12 pieces.

Step-by-step explanation:

⟹Lets Solve!

⟹The first step is to convert [tex]\frac{3}{4}[/tex] into [tex]\frac{}{16}[/tex] !

      To do this we must find what number multiplied by 4 equals 16.

16 ÷ 4 = 4

⟹Now we know our multiplier is 4. So lets multiply the numerator and denominator by 4.

[tex]\frac{3}{4} * \frac{4}{4} = \frac{12}{16}[/tex]

[tex]\frac{12}{16}[/tex]

⟹Next we just divide  [tex]\frac{12}{16}[/tex] by [tex]\frac{1}{16}[/tex].

[tex]\frac{12}{16}[/tex] ÷ [tex]\frac{1}{16}[/tex] = 12

➧Lucas can cut the wire into 12 pieces.

Woohoo! Brainliest appreciated! Hope I helped!

Based on the original length of the wire and the length Lucas requires, he will have 12 pieces.

The wire is 3/4 feet long and each piece required will be 1/16 feet.

The number of pieces in total is:

= Length of wire / Length of pieces

Solving gives:

= 3/4 ÷ 1/16

= 3/4 × 16/1

= 48/4

= 12 pieces

In conclusion, Lucas will have 12 pieces.

Find out more at https://brainly.com/question/6752673.

Answer:

c. It is a straight object that begins at a point and extends forever in one direction. It could be considered half of a line.

Step-by-step explanation:

A ray is a line that begins at a point and extend forever in one direction. It has no end point. It has a start point but no end point. So, C is the correct answer.

Answer:

The slope for the substance = 7.2 g/mL

Step-by-step explanation:

Given that the density is also the slope relationship between mass and volume and that the density is equal to 7.2 g/mL, therefore, the slope of the equation of the line relating mass to volume is also equal to 7.2 g/mL

The density = Mass/Volume = 7.2 g/mL

The slope of mass volume relationship = (The change in mass)/(The equal change in volume)

Whereby the change is from the zero state, we have;

The slope of mass volume relationship = (Mass - 0))/(Volume - 0) = Mass/Volume

Therefore;

The value of the slope of the substance = The value of the density of the substance = 7.2 g/mL

The value of the slope for the substance = 7.2 g/mL.

Answer:

I have the same questions and I got them right

Step-by-step explanation:

16. What is P(red, yellow, blue)?

P(red, yellow, blue)=  6/16= 3/8.

4/16+ 1/16+ 1/16= 6/16= 3/8

17. What is P(orange, yellow)?

P(orange, yellow)= 1/8

1/16+1/16= 2/16= 1/8

18. P(green, blue, purple)?

P(green, blue, purple)=  5/8

7/16+1/16+2/16= 10/16= 5/8.

19. P(pink)?

P(pink)=0

There is no pink color.

20. P(red, orange, yellow, green, blue, purple)?

P(red, orange, yellow, green, blue, purple)= 16/16= 1.

4/16+ 1/16+ 1/16+ 7/16+1/16+2/16 =16/16= 1.

Answer:

-5, -1, 1.5, 4, 7.3

Step-by-step explanation:

in of least to greatest

Thanks! have a good day

Need Brainlyest

Answer:

69

Step-by-step explanation:

6 × 9 + 6 + 9 = 69

Please give me Brainlest!

Answer:

69

Step-by-step explanation:

Original Equation:

6 · 9 + 6 + 9 = ?

Multiply 6 and 9

54

Plug this value back into the equation

54 + 6 + 9

Add 54 to 6

60

Plug this value back into the equation

60 + 9

69

Hope I helped :)

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Answer:

C

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Wait... this doesn’t make sense because it doesn’t tell you if there was tax, how many friends there were, or tips.

Answer:

16/y = x

Step-by-step explanation:

You cannot solve for the question yet. However, you can create an equation!

we know that each person paid 16 dollars.

We don’t know how much the bill was or how many people were there.

So out equation looks like;

z/y = x

or

z * x = y

z = how much each person paid.

y = how much each person paid.

x = how many people paid.

Substitute with what we know.

16/y = x

16 * x = y

Now you will be able to substitute for either x or y to find either answer.