Kyden is selling tee shirts that he custom designs. He made a total of $325. If it
costs $5 for the tee-shirt itself and then $10 per shirt for the custom design, how
many shirts(s) did Kayden sell

The formula for y in terms of x, in its simplest form, is y = 80/x.

To begin, let's start by writing out the inverse proportionality relationship between y and a^3:

y ∝ 1/a^3

We can then use the given information that when a = 2, y = 10 to solve for the constant of proportionality.

10 ∝ 1/2^3

10 ∝ 1/8

10(8) = 1

So the formula for y in terms of a is:

y = 8/a^3

Next, we can use the given information that a is directly proportional to x when x = 4 and y = 20.

a ∝ x

a = kx

Substituting this into our formula for y:

y = 8/(kx)^3

y = 8/k^3 * x^-3

Finally, we can solve for the constant of proportionality, k:

When x = 4, y = 20

20 = 8/k^3 * 4^-3

20 = 2/k^3

k^3 = 2/20

k^3 = 0.1

k = (0.1)^(1/3)

Simplifying our expression for y in terms of x:

y = 8/(0.1) * x^-1

y = 80x^-1

Therefore, the formula for y in terms of x, in its simplest form, is y = 80/x.

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Answer:

87

Step-by-step explanation:

hopes this helps

Answer:

2160 eggs on Monday

Step-by-step explanation:

Jim keeps 12 hens in every coop but Jim has 20 coops

12x20=240 hens

Every hen lays 9 eggs = 12x9= 108 eggs for 1 coop

108x20 = 2160 for 20 coops on Monday

Answer: 10

Step-by-step explanation:

6-5 = 1

-2 x 1 = -2

-2 x -5 = 10

The radius of a sphere made of Neptunium-237 having a critical mass of about 60 kg and density of 19.5 g/cm3 is about 10.7 cm.

Neptunium-237 is a fissionable material that has a density of 19.5 g/cm³. The critical mass of this material is the minimum amount that must be brought together to initiate a nuclear chain reaction. In this case, the critical mass of Neptunium-237 is approximately 60.0 kg. We need to determine the radius of a sphere made of this material that has a critical mass.

To solve this problem, we first have to convert the density to kg/m³.19.5 g/cm³ x 1000 kg/m³ / 1 g/cm³ = 19500 kg/m³The formula for the volume of a sphere is V = 4/3πr³.To find the radius, we have to rearrange the formula to r³ = V x 3/4πr³ = m / p, where m is the mass and p is the density. r³ = (60.0 kg) / (19500 kg/m³) = 0.00308 m³r = (0.00308 m³ × 3 / 4π)1/3 = 0.107 m. Therefore, the radius of the sphere made of Neptunium-237 having a critical mass of about 60 kg and density of 19.5 g/cm³ is about 10.7 cm.

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Answer:

1. -25

3. 15

5. -5/4

Explanation:

Considering the given functions for a(x)

1. To solve for a(8), we'll have to use the third function since we're given that x > 1 in the 3rd function and we know that 8 is greater than 1.

So we'll have;

3. To solve for a(-7), we'll use the 1st function because -7 is less than -6 and the condition is x <= -6;

5. a(-1/2)

In this case, we'll use the 2nd function is -1/2 lies between -6 and 1.

So, we'll have;

Answer:

6+2y, since the tree is already 6 feet, it grows 2 feet per year so you add 2 feet to the 6 feet every year

Answer:

5+2v

Step-by-step explanation:

Answer:

The name of the given figure in two different ways are - J⇔U and U⇔J

Answer:

50π cm²/s

Step-by-step explanation:

Area of the circle A = πd²/4

Rate at which the area is changing with time is expressed as;

dA/dt = dA/dd*dd/dt

dd/dt is the rate at which the diameter is changing with time

dd/dt = 5cm/sec

dA/dd = 2πd/4

dA/dd = πd/2

Given that d = 20cm

dA/dt = dA/dd*dd/dt

dA/dt = πd/2*5

dA/dt = 20π/2 *5

dA/dd = 10π * 5

dA/dd = 50π cm²/s

Hence the area is changing at the rate of  50π cm²/s

The expressions are:
- Francisco's distance: x
- Meredith's distance: x
- Total distance: 2x
- Distance between Francisco and Meredith: 230 - 2x.

To answer your question, let's break it down into the different expressions:

1. The expression that represents the number of feet Francisco has walked toward Meredith since they started walking can be written as x.

2. The expression that represents the number of feet Meredith has walked toward Francisco since they started walking can also be written as x.

3. The expression that represents the total number of feet Francisco and Meredith have walked toward one another since they started walking can be written as x + x, which simplifies to 2x.

4. The expression that represents the distance between Francisco and Meredith can be written as 230 - (x + x), which simplifies to 230 - 2x.

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Answer:

70 miles

Step-by-step explanation:

30 (mi) +40 (mi) =70

Answer:

-50

Step-by-step explanation:

I got it correct on iReady Practice: Multiply and Divide Rational - Practice - Level G.

-5 1/12 x 10

The required change in the position of the drill in one day is given as 50 feet. Option B is correct.

Given that,
A research team is planning to use an ice drill at the top of a glacier. The team plans to use the drill for 10 hours each day while the temperature is warmest. The drill's position will move 5 1/12 feet every hour it is used.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Drill length  = 5 1 / 12 = 61 / 12 feet per hour
For 10 hours in a day drill length = 61 / 12 [10] = 50.833 or 50 feet.

Thus, the required change in the position of the drill in one day is given as 50 feet. Option B is correct.

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The probability that both Michelle and Garth will drive a red bumper car is 1/22.

The bumper car ride at the state fair has 3 red cars, 4 green cars, and 5 blue cars. Michelle is first in line for the ride and is assigned a car at random. Garth is next in line and is randomly assigned a car. We have to find the probability that both Michelle and Garth will drive a red bumper car.

Probability of Michelle driving a red car = 3/12 or 1/4Probability of Garth driving a red car after Michelle has been assigned a red car is = 2/11 Let A be the event of Michelle driving a red car and B be the event of Garth driving a red car. Then, we have to find P(A and B). P(A and B) = P(A) * P(B after A)⇒ P(A and B) = 1/4 * 2/11⇒ P(A and B) = 1/22 Therefore, the probability that both Michelle and Garth will drive a red bumper car is 1/22.

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Answer:

apples: 2, 4, 6, 8

oranges: 5, 10, 15, 20

Step-by-step explanation:

what it looks like to me is that they are first counting by 2's, then 5's. hope this helps somehow

Step-by-step explanation:

First, you want to find the change in the top collum, and then the bottom collum.

The top collum seems to go up by 2, so it would be 2,4,6,8

The bottom collum seems to go up by 5 so it would be 5,10,15,20

And boom! there's ur answer!

Answer:

4x^2+12x+9

thats it

Answer:

x= -3/2  or 4x^2 +12x+9 (depend on what answer you need)

Step-by-step explanation:

(2x+3)^2

(2x+3)(2x+3)

(2x*2x)(2x*3)(3*2x)(3*3)

4x^2 + 6x + 6x + 9

4x^2 +12x + 9

If you want to find x:

2x+3 = 0

     -3   -3

2x= -3

/2    /2

x = -3/2

Answer:

Option A

Step-by-step explanation:

Two parallel lines and a transversal line intersecting these lines have been given in the picture.

Option (A)

∠1 ≅ ∠8 [Alternate exterior angles]

Option (B)

m∠4 + m∠6 = 180° [Consecutive interior angles]

Therefore, m∠4 ≠ m∠6

Option (C)

m∠5 + m∠6 = 180° [linear pair of angles are supplementary]

Therefore, m∠5 ≠ m∠6

Option (D)

m∠1 + m∠7 = 180° [Corresponding exterior angles]

Therefore, ∠1 ≠ ∠7

Option (A) is the answer.

Step-by-step explanation:

A: (1½hours×60min)+(¾×60)+45min

B: (2¼×60)+45min+(½×60)

subtract the answer of A from the answer of B to find how much more time she worked on it the second week.

Answer:

3/4 divided by 9 (break it down) = 1/12

The village that is the hub in the map will be the village that is the focal point and one with the most connections running through it.

Your information is incomplete as the map isn't given. Therefore, an overview will be given. A map simply means a diagrammatic representation of an area.

In this case, the hub in the city will be the central part of the city. It's usually the focal point in an area.

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Step-by-step explanation:

you can solve cos(u) by

cos(u) = adjecent / hypotenes...general formula of cos

cos(u) = √44 / 12

cos(u) = 2√11 / 12 ..... √44 = √4×11 = 2√11

cos(u) = √11 / 6

u = cos^-1 ( √11 / 6 ) ..... divided both aide by cos ( multiple by cos invers )

u = 56.442 .... so we get it's angle

Answer:

\(cos(U)=\frac{\sqrt{11} }{6}\)

Step-by-step explanation:

In a right triangle, the cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse. Therefore, we have:

cos(U) = adjacent/hypotenuse = TU/SU

We are given that TU = sqrt(44) and SU = 12, so:

cos(U) = sqrt(44)/12

To simplify this expression, we can first factor 44 into 4 * 11, since 4 is a perfect square and a factor of 44:

cos(U) = sqrt(4 * 11) / 12

cos(U) = (sqrt (4) * sqrt (11)) / 12

cos (U) = (2 * sqrt (11)) / 12

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

cos(U) = sqrt(11)/6

Therefore, the exact value of cos(U) in simplest radical form is sqrt(11)/6

Furthermore, if you want another way to write the answer, dividing by 6 is the same as multiplying by 1/6 so you can do cos (U) = 1/6 * sqrt (11)

Although the other individual was correct that you use inverse trig (cos ^ -1) to find the measure of U, getting an exact answer requires us to leave it in simplest radical form since the number is so large and at best will yield an approximation if you don't keep it in simplest radical form.

Answer:

-24

Step-by-step explanation:

We are given two equations and are asked to solve if one equals a certain amount to the other.

Let's focus on x + 3 = 13, we need to first figure out what is x. Which is very simple, what plus 3 equals 13?

10 of course, therefore x = 10, and we can implement into the other equation.

5x - 74

Since x = 10, we can substitute x with 10 and then multiply.

5(10) - 74

50 - 74

What is 50 - 74?

-24

Answer:

y=5x+53

Step-by-step explanation:so all i did was go into the demos app and typed in y=5x-7 and then i entered y=5x+30 and i kept going up until i found the right answer

Answer:

classroom A

Step-by-step explanation:

because there are 35 children and 60% out of 100% are girls. therefore 40% of the 35 children are boys

48=y+5y

pretend that there is a 1 in front for the y

48=1y+5y

add the like terms first

1y+5y=6y

48=6y

divide both sides by 6 to get y by itself

48/6=6y/6

8=y

answer:

y=8

Answer:

y = 8

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

48 = y + 5y

Step 2: Solve for y

Step 3: Check

Plug in y into the original equation to verify it is a solution.

Here we see that 48 does indeed equal 48.

∴ y = 8 is a solution of the equation.

The curl of the vector field F =< 6ycos(x), 2xsin (y) >  is given by (2sin(y) - 6cos(x)).

To find the curl of the vector field F =< 6ycos(x), 2xsin(y)>, we can use the formula for the curl of a vector field in two dimensions, which is given by:

curl(F) = (∂Q/∂x - ∂P/∂y)

In this case, we have P(x,y) = 6ycos(x) and Q(x,y) = 2xsin(y), so we need to compute the partial derivatives of these functions with respect to x and y.

∂P/∂y = 6cos(x)

∂Q/∂x = 2sin(y)

Therefore,

curl(F) = (∂Q/∂x - ∂P/∂y) = (2sin(y) - 6cos(x))

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Answer:

Their speed is 32 km/h.

Step-by-step explanation:

Since they're at the same speed, we can assign a variable to their speed called "x". When the first car increases its speed by 1 km/h, its new speed is "x + 1", while the other car decreases its speed by 10 km/h, so its new speed is "x - 10". The distance's formula can be expressed as below:

\(\text{distance} = \text{speed}*\text{time}\\\)

With the modifications to their speed, the distance the first car covers in 2 h and the distance the second car covers in 3 h is shown below:

\(\text{distance}_{car1} = (x + 1)*2 \\\text{distance}_{car1} = 2*x + 2\)

\(\text{distance}_{car2} = \text{speed}*\text{time}\\\text{distance}_{car2} = (x - 10)*3\\\text{distance}_{car2} = 3*x - 30\)

Since the distance covered by them must be the same, we can find the value of x that makes the expressions equal.

\(2*x + 2 = 3*x - 30\\2*x - 3*x = -30 -2\\-x = -32\\x = 32\)

Their speed is 32 km/h.

The exchange rate in 2010 should be $0.66/riyal. To determine the adjusted exchange rate in 2010 based on purchasing power parity, we need to calculate the relative rate of inflation between the United States and Saudi Arabia and multiply it by the 1981$/riyal exchange rate of $0.42.

The formula for calculating the relative rate of inflation is:

Relative Rate of Inflation = (Saudi Arabian Price Level / U.S. Price Level) - 1

Given that the Saudi Arabian price level in 2010 is 240 and the U.S. price level in 2010 is 100, we can calculate the relative rate of inflation as follows:

Relative Rate of Inflation = (240 / 100) - 1 = 1.4 - 1 = 0.4

Next, we multiply the relative rate of inflation by the 1981$/riyal exchange rate:

Adjusted Exchange Rate = 0.4 * $0.42 = $0.168

Finally, we add the adjusted exchange rate to the original exchange rate to obtain the exchange rate in 2010:

Exchange Rate in 2010 = $0.42 + $0.168 = $0.588

Rounding the exchange rate to 2 decimal places, we get $0.59/riyal.

Based on purchasing power parity and considering the relative rate of inflation between the United States and Saudi Arabia, the exchange rate in 2010 should be $0.66/riyal. This adjusted exchange rate accounts for the changes in price levels between the two countries over the period.

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\( \large{\red{\underline{\bf{Required \: Solution \: : }}}} \)

Here we have been provided with two equations and we have to solve them by substitution method and get the value of x and y.

Here we have been already provided a temporary value of y in first equation so let us substitute in the second equation.

\(: \implies \: \sf{y \: = \: 4x \: - \: 10}\)

\(: \implies \: \sf{x \: - \: 4 \: = \: 4x \: - \: 10}\)

\(: \implies \: \sf{x \: = \: 4x \: - \: 10 \: + \: 4}\)

\(: \implies \: \sf{x \: = \: 4x \: - 6}\)

\(: \implies \: \sf{x \: - 4x \: = \: - 6}\)

\(: \implies \: \sf{ - 3x \: = \: - 6}\)

\(: \implies \: \sf{ \cancel - \: 3x \: = \: \cancel- \: 6}\)

\(: \implies \: \sf{ 3x \: = \: 6}\)

\(: \implies \: \sf{ x \: = \: \dfrac{6}{3} }\)

\(: \implies \: \sf{ x \: = \: \cancel\dfrac{6}{3} }\)

\(: \implies \: \boxed{\bf{ x \: = \:2 }} \pink\bigstar\)

Therefore, value of x is 2..!!

Finding out value of y :

Here we would substitute the value of x which we got as 2 in the first equation inorder to get the value of y.

\(: \implies \: \sf{ y \: = \: x \: - \: 4 }\)

\(: \implies \: \sf{ y \: = \: 2 \: - \: 4 }\)

\(: \implies \: \boxed{\bf{ y \: = \:-2 }} \pink\bigstar\)

Therefore, value of y is -2.

The probability of spinning an odd number first then spinning an even number is 3/8 x 4/8 = 12/64.

This can be expressed as a fraction, decimal, or percentage. As a fraction, this probability is 12/64. As a decimal, this probability is 0.1875. As a percentage, this probability is 18.75%.

To calculate this probability, we first need to calculate the probability of spinning an odd number first. Since there are eight sections and four of them are odd numbers (1, 3, 5, 7), the probability of spinning an odd number is 4/8. We then need to calculate the probability of spinning an even number. Since there are four even numbers (2, 4, 6, 8), the probability of spinning an even number is 4/8. Finally, we multiply these two probabilities together to get the probability of spinning an odd number first then spinning an even number, which is 3/8 x 4/8 = 12/64.

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Answer:

\( \frac{1}{3} \times \frac{2}{3} = \frac{2}{9} \)

\( \frac{4}{5} \times \frac{1}{3} = \frac{4}{15} \)

\( \frac{9}{10} \times \frac{8}{8} = \frac{9}{10} \)

\( \frac{8}{11} \times \frac{2}{5} = \frac{16}{55} \)