Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space

Answer:

100 miles

Step-by-step explanation:

Let the number of miles driven = x

Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven.

$55 + $0.25x

55 + 0.25x

For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile.

$45 + $0.35x

45 + 0.35x

Equation :

55 + 0.25x = 45 + 0.35x

The number of miles for which the companies’ charges will be the same is calculated as:

55 + 0.25x = 45 + 0.35x

Collect like terms

55 - 45 = 0.35x - 0.25x

10 = 0.10x

x = 10/0.10

x = 100 miles

The number of miles for which the companies’ charges will be the same is

100 miles.

Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50 cm. The charge densities on the planes are -50 nC/m² and +25 nC/m², respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm? (Hint:Use Gauss’ law.)

Answer:

ΔV = 2520 V

Step-by-step explanation:

We are given;

Charge density 1; σ1 = -50 nC/m² = -50 × 10^(-9) nC/m²

Charge density 2; σ2 = +25 nC/m² = +25 × 10^(-9) nC/m²

Now, formula for electric field strength is;

E = -(½ε)(|σ1| ± |σ2|)

ε is vacuum permittivity with a constant value as 8.85 × 10^(−12) C²/N.m²

|σ1| and |σ2| means we are taking the absolute values and would therefore not use the negative sign attached to them.

Now, in between x = 0 cm(0 m) and 50 cm (0.5 m), electric field generated by both charge densities would be in the same direction and thus;

E_in = -(½ε)(|σ1| + |σ2|)

E_in = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) + (25 × 10^(-9))]

E_in = -4200 V/m

In contrast, when x ≥ 50 cm (0.5 m), electric field generated by both charge densities would be in opposite directions and thus;

E_out = -(½ε)(|σ1| - |σ2|)

E_out = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) - (25 × 10^(-9))]

E_out = 1400 V/m

The magnitude of the potential difference from the origin to x = 80 cm(0.8 m) is calculated as attached;

From the attachment, we see that;

ΔV = 2520 V

Answer: 129g

Step-by-step explanation:

The formula to calculate mass is given as:

m = d × v

where,

m = mass

d = density

v = volume

Mass = dv

Mass = 150 × 0.86

Mass = 129g

Answer:

Step-by-step explanation:

Answer:

y = -3x + 12/2

Step-by-step explanation:

Step 1: Add -x to both sides

x + 2/3 + -x = 4 + -x

2/3y = -x + 4

Step 2: Divide both sides by 2/3

2/3y ÷ 2/3 = -x + 4 ÷ 2/3

y = -3x + 12/2

Answer:

I cant read all of that. Im sure others ant either.

Step-by-step explanation:

Answer:

i cant read it for some reason, can you type it?

Step-by-step explanation:

y = -11x2 – -52 or y = -5.5x – 52

Answer:

answer is in picture

Step-by-step explanation:

Answer:

The answer is $6.00.

Step-by-step explanation:

They said that there was an initial fee along with an hourly fee. They also said that the hourly fee depended on the number of hours put in. Which would be h. So the initial fee stays the same and is just added to the hourly fee. As you can see the fee added on to the hourly fee is $6.oo.

The initial fee to enter the garage is option (C) $6.00.

The linear equation is the algebraic form of equation whose variables has the exponent of one. It is the combination of two variables and a constant value present in them.

For the given situation,

The equations is, T = 6 + 2.50 h

where, h is the parking hours and

T is the total charges in dollars.

The initial fee to enter the garage means there will be no fee for parking,

⇒ [tex]h=0[/tex]

Then the equation becomes,

⇒ [tex]T=6[/tex]

Hence we can conclude that the initial fee to enter the garage is option (C) $6.00.

Learn more about linear equation here

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Explanation:

The given visual line has a slope of -1/4. We can see this by starting at (0,2) and we do two things

a) move down 1

b) move over to the right 4

This leads to slope = rise/run = -1/4

Once we find the slope of the original line, we take the opposite reciprocal. This is also called the negative reciprocal. So we'll take the reciprocal of -1/4 to get -4/1 or just -4. Then we flip from negative to positive.

In short we flip the fraction and the sign. That has us go from -1/4 to 4.

The original slope is -1/4. The perpendicular slope is 4.

Side note: multiplying any two perpendicular slopes leads to -1. Neither line can be vertical.

--------------------------

So we found the slope of the perpendicular line to be m = 4.

We don't know which point the perpendicular line goes through, so theoretically we have infinitely many equations to pick from. They are all in the form y = 4x+b. Note how I replaced m in y = mx+b with 4.

So our answer will be in the form y = 4x+b. Choices A through C don't fit the description. Only choice D does. So choice D is the answer.

With y = 4x+4, the slope is 4 and the y intercept is 4.

Step-by-step explanation:

The question is incomplete. Let us assume the two bathrooms have floors that each measure 24 square feet and third bathroom floor measures 18 square feet.

For the two bathrooms, the total area will be 2*24 = 48 square feet

Since the third bathroom measures 18 square feet, the total square feet for the  3 bathrooms is equal to 48sq. ft + 18 sq.ft = 64sq. ft

If the tile costs $2.39 per square foot, then the amount that 64sq. ft tiles will cost is expressed as:

1 sq. ft = $2..39

64sq.f = $x

Cross multiply:

1*x = 2.39* 64

x = $152.96

Hence the amount that the company's spent on tiles for the three bathrooms will be 15296 cents.

Note that the dimensions of bathrooms were assumed. You can follow the same procedure for any dimension given.

Answer:

x= 16 degrees

Step-by-step explanation:

the angles can be a little hard to remember but just know that the angles that are outside of the transversal are exterior angles and if they are on the opposite sides of the line that passes through the parallel lines then they're alternate exterior angles and those angles that are inside are interior angles and if they are on the opposite sides of the line passing through the parallel then they are alternate interior angles .

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Explanation:

This sequence is arithmetic

The first term is a = -9

The common difference is d = 6 since we're adding 6 to each term to get the next one (eg: -3+6 = 3 or 3+6 = 9 or 9+6 = 15)

Plug those values into the arithmetic nth term formula below

an = a + d*(n-1)

an = -9 + 6*(n-1)

an = -9 + 6n-6

an = 6n - 15

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As a check, let's plug in something like n = 1

an = 6n - 15

a1 = 6*1 - 15

a1 = 6 - 15

a1 = -9

We see that the 1st term is -9, which matches the sequence given

Now let's plug in n = 2

an = 6n - 15

a2 = 6*2 - 15

a2 = 12 - 15

a2 = -3

The 2nd term is -3. This also matches.

I'll let you check the other values of n to confirm the answer.

Answer:

B

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

It would be C. The hexagon.

Answer:It would be C because you have 3 sides for the triangle than 4 sides for the rectangle, 5 sides for the pentagon, and 6 sides for the hexagon

Step-by-step explanation:

Answer:

[tex]q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]6-3q\leq 1\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6-3q-6\le \:1-6\\\\Simplify\\\\-3q\le \:-5\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3q\right)\left(-1\right)\ge \left(-5\right)\left(-1\right)\\\\Simplify\\\\3q\ge \:5\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3q}{3}\ge \frac{5}{3}\\\\Simplify\\\\q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}[/tex]

Answer: It could be, just add two dots at the smiley face, BOOM! The function of Facial muscles in humans.

Step-by-step explanation:

Answer:

rounded to the nearest hundredth its 46.21

Step-by-step explanation:

trust im smart

Answer:

Answer 1:

5/8 = 2.5/4 so its 2.5 months

Answer 2: The decimal repeats as when you divide by 2 you get 4.5/8, which is 0.5625.

Step-by-step explanation:

1/4=2/8, so continue that on until you get the answer.

5/8÷1/4

5.8·4/1=

20/8=2.5

9/16=

9÷16=

0.5625

Answer:

(0, 1)

Step-by-step explanation:

The formula is pretty straightforward you just need to plug in the numbers you have

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Answer:

26

Step-by-step explanation:

square root of 81 is 9, 9*2 is 18, square root of 64 is 8, 18+8 is 26

Answer:

26

Step-by-step explanation:

2(square root of 81)+square root of 64

2(9)+8=

18+8=

26

Answer:

Assuming you want slope formula for this, it's y= (5/9)x -1

Answer:

you pay 240 dollars a year

Step-by-step explanation:

y=20x

x is 12

20*12=

240

Answer: $250

Step-by-step explanation:

Answer:

f = (100 - 2h) / 5

Step-by-step explanation:

Given:

5f + 2h = 100

Solve the equation for f.

5f + 2h = 100

Subtract 2h from both sides

5f + 2h - 2h = 100 - 2h

5f = 100 - 2h

Divide both sides by 5

5f / 5 = (100 - 2h) / 5

f = (100 - 2h) / 5

If f = 1 full box

h = 1/2 box

h = 1/2 of f

h = 1/2f

Substitute h = 1/2f into

f = (100 - 2h) / 5

f = {100 - 2(1/2f)} / 5

f = (100 - 2/2f) / 5

5f = 100 - f

5f + f = 100

6f = 100

f = 100 / 6

= 16.67

f = 16.67

The required value of f is 16.67.

Given that ;

Kiran sells full box of fruit cost for each box = f = $5

And Kiran sells half box of fruit cost for each = h = $2

According to the question ;

For full box cost  + for half box cost = Total cost of his band trip

5f + 2h = 100

Solve the equation following equation for f .

5f + 2h = 100

Subtract 2h from both sides

5f + 2h - 2h = 100 - 2h

5f = 100 - 2h

Divide both sides by 5

[tex]\frac{5f}{5} = \frac{100}{5} - \frac{2h}{5}[/tex]

f = 20-2h

For full box f = 1 full box

For half box h = 1 half box

It means h = [tex]\frac{1}{2}[/tex] of f

h = [tex]\frac{1}{2}f[/tex]

Substitute the value of h  

[tex]f = \frac{(100-2h)}{5} \\f = \frac{100-2(\frac{1}{2f} )}{5}[/tex]  

[tex]f = \frac{100-f}{5}[/tex]

5f = 100 - f

5f + f = 100

6f = 100

[tex]f = \frac{100}{6}[/tex]

f = 16.67

The required value of f is 16.67.

For more details about the making equation click the link given below.

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