Alonzo earns 8% commission on vacuum cleaner sales. This past month, Alonzo sold 70 units at $150.00 each. How much did Alonzo make in commissions for the past month? Explain how you found your answer.

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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Answer:

im not the best at algebra but

2a+3b+4c

Step-by-step explanation:

subtract

(2a−3b+4c) from the sum of (a+3b−4c),(4a−b+9c) and (−2b+3c−a).

add

=(a+3b−4c)+(4a−b+9c)+(−2b+3c−a)

=(a+4a−a)+(3b−b−2b)+(−4c+9c+3c)

=4a+8c

then subtract

=(4a+8c)−(2a−3b+4c)

=4a+8c−2a+3b−4c

=2a+3b+4c

The limit of the given function as t approaches negative infinity is 1.

To evaluate the limit of the given function as t approaches negative infinity, we need to determine the behavior of the function as t becomes increasingly negative.

First, note that as t approaches negative infinity, both the numerator and denominator of the fraction become increasingly negative.

To simplify the expression, we can divide both the numerator and denominator by the highest power of t that appears in the denominator, which is t³

\(\lim_{t \to- \infty}\) (3t² + t)/(t³ - 7t + 1)

= \(\lim_{t \to- \infty}\) (3/t - 1/t²)/(1 - 7/t² + 1/t³)

As t approaches negative infinity, the dominant term in the denominator is -7/t², which becomes increasingly negative. Therefore, the limit of the denominator as t approaches negative infinity is negative infinity.

Now let's look at the numerator. As t approaches negative infinity, the dominant term in the numerator is 3/t, which becomes increasingly negative. Therefore, the limit of the numerator as t approaches negative infinity is negative infinity.

Using the quotient rule for limits, we can conclude that:

\(\lim_{t \to- \infty}\) (3t² + t)/(t³ - 7t + 1) = \(\lim_{t \to- \infty}\) (3/t - 1/t²)/(1 - 7/t² + 1/t³) = -[infinity]/-[infinity] = 1

Thus, the limit t approaches negative infinity is 1.

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The perimeter of triangle JKL is  determined as 68 units.

The perimeter of triangle JKL is calculated as follows;

The perimeter of triangle JKL is the sum of all the distance round the triangle.

Perimeter = length JK + length LK + length JL

AL = CL = 12

Length LK = CL + CK = 12 + 8 = 20

JA = JB = 14

KB = CK = 8

Length JK = JB = KB = 14 + 8 = 22

Length JL = JA + AL = 14 + 12 = 26

The perimeter of triangle JKL is calculated as;

Perimeter = 20 + 22 + 26

Perimeter = 68 units.

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The $1314^\text{th}$ digit past the decimal point is 2.

To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.

The long division of $\frac{5}{14}$ is as follows:

```

0.35    <-- Quotient

-----

14 | 5.00

   4.2    <-- Subtract: 5 - (14 * 0.3)

   -----

     80   <-- Bring down the 0

     70    <-- Subtract: 80 - (14 * 5)

     -----

     100   <-- Bring down the 0

      98    <-- Subtract: 100 - (14 * 7)

      -----

       20   <-- Bring down the 0

       14    <-- Subtract: 20 - (14 * 1)

       -----

        60   <-- Bring down the 0

        56    <-- Subtract: 60 - (14 * 4)

        -----

         40   <-- Bring down the 0

         28    <-- Subtract: 40 - (14 * 2)

         -----

         120   <-- Bring down the 0

         112    <-- Subtract: 120 - (14 * 8)

         -----

           80   <-- Bring down the 0

           70    <-- Subtract: 80 - (14 * 5)

           -----

           ...

```

We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.

Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.

So, the $1314^\text{th}$ digit past the decimal point is 2.

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Answer:

1.6 kilometers

Step-by-step explanation:

Umm... sorry...

I can't think of an explanation.

I memorized the answer (because I do track and field)

Well, feel free to tell me if I did anything wrong! :)

Integers are numbers without decimals

The integers could you have multiplied are 9 and 2

Let the numbers be x and y

So, we have:

\(\mathbf{x \times y}\)

Increase x by 1 and reduce y by 1.

So, we have

\(\mathbf{(x +1) \times (y -1) = 6 + xy }\)

Open brackets

\(\mathbf{xy -x + y - 1 = 6 + xy}\)

Subtract xy from both sides

\(\mathbf{ -x + y - 1 = 6}\)

Collect like terms

\(\mathbf{ -x + y = 6 + 1}\)

\(\mathbf{ -x + y = 7}\)

Rewrite as:

\(\mathbf{ y -x= 7}\)

The above means that, the difference between the integers is 7.

There are several integers that fit the above description;

One possibility is: 9 and 2

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Answer:

6

Step-by-step explanation:

If U to K is 24, U to Y (the midpoint of UK) would be 12. Since UV is in the middle of UY, it would be six

.5 x 24 = 12

.5 x 12 = 6

Essentially, you just divide the lines in half until you reach the desired line.

15% wrapped = 30

20% not oatmeal = 40

30 wrapped could all be not oatmeal.

there are 200 pieces of cookies in a bag.

15% are wrapped.

this means that .15 * 200 = 30 are wrapped.

80% of the cookies are oatmeal.

this means that .8 * 200 = 160 are oatmeal.

this also means that .2 * 200 = 40 are not oatmeal.

Unless I'm misreading the situation, it is entirely possible that none of the wrapped cookies are oatmeal as there are more than 30 cookies that are not oatmeal and 30 are wrapped.

It would be a different situation if cookies were chosen at random and then wrapped.

Without even glancing at the cookies, you would choose 30 for wrapping.

The likelihood that you would choose an oatmeal cookie is.

.8 given that oats make up 80% of the batch of cookies.

the likelihood that you would choose an oatmeal-free cookie. 2 since just 20% of the batch's cookies contains oats.

The likelihood of it happening if you pick at random is: The fewest number of oatmeal cookies that are wrapped would still be 0, and the probability of that happening is:

c(40,30) / c(200,30) = 2.069..... * 10^-27

bottom line is that it is possible to get 0 oatmeal cookies wrapped if you pick cookies out of the batch randomly, but the probability that they will all not be oatmeal is extremely small.

the probability that all the wrapped cookies are not oatmeal when you pick the cookies out of the batch randomly is 2.06907098 * 10^-27

that's a very small probability.

it's so small that if you rounded the answer to 26 decimal digits, it would be equal to 0.

but it's not zero, and therefore it is possible that you could get zero wrapped cookies that are oatmeal if you picked them out of the batch randomly without looking at them.

if you looked, and you could tell the difference, then there's no question that you could pick 30 cookies to be wrapped that are not oatmeal since you would have 40 to pick from.

that's my take.

but it's not zero, and therefore it is possible that you could get zero wrapped cookies that are oatmeal if you picked them out of the batch randomaly without looking at them.

if you looked, and you could tell the difference, then there's no question that you could pick 30 cookies to be wrapped that are not oatmeal since you would have 40 to pick from.

that's my take.

but it's not zero, and therefore it is possible that you could get zero-wrapped cookies that are oatmeal if you picked them out of the batch randomly without looking at them.

if you looked, and you could tell the difference, then there's no question that you could pick 30 cookies to be wrapped that are not oatmeal since you would have 40 to pick from.

that's my take.

15% wrapped = 30

20% not oatmeal = 40

30 wrapped could all be not oatmeal.

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Answer and step-by-step explanation:

Put 25 at the top

Put 3 at the left

Put ? in the middle

Answer:

9

Step-by-step explanation:

Granny has 25 apples but only 3 can fit into a basket  if there were 8 baskets you can put 3 into each basket. This would be 8x3 which equals 24 apples. But Granny would have 1 apple left over so you would need another basket. Therfore in total you would need 9 baskets

The value of m is 1/3.

To solve the equation 9²m⁻¹ × 9⁵ = 9m², we can simplify the equation and solve for the value of m.

Let's simplify the equation step by step:

9²m⁻¹ × 9⁵ = 9m²

Expanding the exponents:

(9²)(9⁵)(m⁻¹) = 9m²

Simplifying the exponents:

9^(2+5)(m⁻¹) = 9m²

Using the property\(a^{(m+n)\)= \(a^m \times a^n\):

9^7(m⁻¹) = 9m²

Applying the power of 9⁷:

9m⁻¹ = 9m²

Dividing both sides by 9m⁻¹:

1 = 9m²/m⁻¹

Dividing with the same base and different exponents, we subtract the exponents:

1 = \(9m^{(2-(-1))\)

Simplifying the exponents:

1 = 9m³

Now, we can solve for m by isolating it on one side of the equation:

m³ = 1/9

Taking the cube root of both sides:

m = ∛(1/9)

The cube root of 1/9 is the same as raising 1/9 to the power of 1/3:

m = \((1/9)^{(1/3)\)

Simplifying the cube root:

m = 1/3

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Answer:

First of all, let's multiply both sides by 5, clearing the denominators:

Then, as long as g is not zero, we can divide by g, and let's read right to left:

At this point, assuming F and g are either both positive or both negative, we can take the square root of both sides:

If h represent a quantity that is positive by it's nature (ie, the length of a segment) you can consider only the positive root, ie ignoring the plus or minus sign.

∫dF=F(x,y)=12ax2+bxy+12ℓy2+c=0 is the exact ode.

Specifically, an exact equation is a differential equation that can be solved instantly without the aid of any specialized methods. If the result of a straightforward differentiation, a first-order differential equation (of one variable) is referred to as an exact differential or exact differential. The equation

P(x, y)dy/dx + Q(x, y) = 0,

or in the equivalent alternate notation

P(x, y)dy + Q(x, y)dx = 0,

is exact if

∂P(x, y)/∂x =  ∂Q(x, y)/∂y

In this instance, a function R(x, y) will exist whose partial x-derivative is Q and partial y-derivative is P, and whose equation R(x, y) = c (where c is constant) will implicitly establish a function y that will satisfy the initial differential equation.

An exact ODE is one where the equation can be written as  dF=0  for some  F(x,y). Expanding using chain rule, this means an equation of the form

∂1Fdx+∂2Fdy=0

Now if the second partials of  F  exist and are continuous, they must be equal due to Clairaut. So, given an equation

Mdx+Ndy=0

if we have

∂2M=∂1N

then there is an  F  such that

M=∂1F, N=∂2F

and hence that equation is exact, and the solution is simply

∫dF=0

We have

M=ax+by⇒∂2M=b

N=kx+ℓy⇒∂1N=k

so to be exact, we must have that  b=k .

Then, integrating  M  and  N , we have

F(x,y)=∫Mdx=12ax2+bxy+g(y)

F(x,y)=∫Ndy=bxy+12ℓy2+h(x)

and comparing these two, we can see that

∫dF=F(x,y)=12ax2+bxy+12ℓy2+c=0

is a solution to the equation for any  a,b,c,ℓ . You can solve for  y  by quadratic methods.

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The given function is concave up on (0, ∞), concave down on (-∞, 0) and it has an inflection point at (0, 301²).

Given function is f(x) = x³+301². In order to determine the concavity and inflection points, we will calculate the second derivative of f(x).

Derivative of the given function = f'(x) = 3x²

Second Derivative of the given function = f''(x) = 6x

The concavity of the function will depend on the value of the second derivative as follows:

If f''(x) > 0, the function is concave up.

If f''(x) < 0, the function is concave down.

If f''(x) = 0, the point is an inflection point.

For the given function, f''(x) = 6x

Let's consider the critical values of x for concavity and inflection points.

6x > 0

⇒ x > 0

This means the function is concave up on (0, ∞) and concave down on (-∞, 0). Now let's find the inflection point of the given function.

f''(x) = 6x = 0

⇒ x = 0

This means the inflection point of the function is (0, 301²)

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Answer:

$12.56

Step-by-step explanation:

$50.24 divided by the 4 friends = $12.56

I divided the total cost by the amount of friends who went to the museum and so I did $50.24 divided by the 4 friends = $12.56.

Each friend paid $12.56 for a ticket to the museum this was calculated by dividing the total cost of $50.24 by the number of friends, which is 4. So, they each paid an equal amount of $12.56.

To find out how much each friend paid for a ticket to the museum, we can divide the total amount they paid by the number of friends.

Given that there are 4 friends and the total cost is $50.24, we simply divide $50.24 by 4:

Amount each friend paid = Total cost / Number of friends

Amount each friend paid = $50.24 / 4

Calculating this division:

Amount each friend paid = $12.56

Therefore, each friend paid $12.56 for a ticket to the museum.

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Since all the angles of the first triangle are different, it is a scalene triangle, Similarly, since all the sides of the second triangle is also different, it is a scalene triangle.

Triangles is a 3-D shape with 3 sides and angles.  The types of triangle that we have include;

Since all the angles of the first triangle are different, it is a scalene triangle, Similarly, since all the sides of the second triangle is also different, it is a scalene triangle.

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Answer:

Division property of equality

Step-by-step explanation:

8n = 16  Divide both sides by 8

\(\frac{8n}{8}\) = \(\frac{16}{8}\)

n = 2

Answer:

300-89 would equal your equasion which would be 211

Step-by-step explanation:

But there are 2 ways to think of it becaue=se if u used the people in the school to play on the stage there are still 300 seats left or your teacher would think of it as being 300-89=211 so this word problem has 2 answers!

Step-by-step explanation:

\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)

Answer: 27

Step-by-step explanation:

The sum in summation notation of the expression (a) 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is ΣX from 1 to 4. In other words, it represents the summation of X over the range 1 to 4.

In summation notation, the expression (a) 1 + 2 + 3 + 4 + X5 can be written as ΣX, where X takes the values from 1 to 4. The capital sigma (Σ) represents the summation operator, and the variable X is summed over the range 1 to 4. This means that we need to substitute X with each value from 1 to 4 and add them together.

When we evaluate the expression, we have:

ΣX = 1 + 2 + 3 + 4 = 10

However, the expression also includes X5, indicating that X takes the value 5 as well. Therefore, we add 5 to the sum:

ΣX = 10 + 5 = 15

So, the sum of 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is equal to 15.

Moving on to expression (b) y2 + y3 + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, we can express it in summation notation as ΣY from 1 to 3. This represents the summation of Y over the range 1 to 3.

Since Y has a different value for each term, we simply substitute Y with each value from 1 to 3 and add them together:

ΣY = y₁ + y₂ + y₃ = -1 + (-0.5) + 0 = -1.5

Hence, the sum of y₂ + y₃ + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, is equal to -1.5.

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1 yellow heart = 4

5 yellow hearts = 20

1 pink triangle = 4

5 pink triangles = 20

hope it helps...!!!

Answer:

Most likely the answer hope this helps :P

Step-by-step explanation:

1= 10

2= 20

5 = 50

8 = 80

X = 100

Answer:

Step-by-step explanation:

Triangle MLK

Answer:

y = 3x

Step-by-step explanation:

Slope: 3

Point (0,0)

y-intercept = 0

y = 3x

Answer:

B.

Step-by-step explanation:

hope it helps :)

It is 6x^3 - 15x^2 - 2x - 5

Brainly pls have a nice day

A system of equations that can be used to find the numbers.

Equation 1: x + y = -18

Equation 2: x - y = 38.

The two numbers that Kasey is thinking of are 10 and -28.

To find the two numbers that Kasey is thinking of, we can set up a system of equations based on the given information.

Let's denote the two numbers as x and y.

Equation 1: The sum of the two numbers is -18.

This can be represented as:

x + y = -18

Equation 2: The difference between the two numbers is 38.

This can be represented as:

x - y = 38.

Now, we have a system of two equations with two variables. We can solve this system to find the values of x and y.

One approach to solve this system is by using the method of substitution or elimination.

In this case, we will use the method of elimination.

Adding Equation 1 and Equation 2, we eliminate the y variable:

(x + y) + (x - y) = -18 + 38

2x = 20

x = 10

Substituting the value of x into Equation 1:

10 + y = -18

y = -28

Therefore, the two numbers that Kasey is thinking of are 10 and -28.

By solving the system of equations, we found that one number is 10 and the other number is -28.

These values satisfy the conditions given in the problem, where their sum is -18 and their difference is 38.

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The option that could be true if the variation relationship stays the same is; B: The product of c and b must be tripled.

The parameter given show us that quantity a varies directly with b and c and inversely with d.

This can be expressed as;

a ∝ bc/d

Now, we are told that the quantity of d is tripled. What this means is that d is multiplied by 3 and we can express the variation as;

a ∝ bc/3d

Now, since a is directly proportional to bc, it also means that if we multiply bc by 3, we must multiply a by 3 and as such the product of bc could also be tripled.

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Answer:

B. The product of c and b could be tripled.

Step-by-step explanation:

The elements in (A U B) n C are {1, 3, 5, 7}.

To find the elements in (A U B) n C, we need to take the union of sets A and B first, and then find the intersection of that result with set C.

The union of sets A and B, denoted as (A U B), consists of all the elements that are in either set A or set B, or in both. In this case, (A U B) would include all the elements from A, as well as any elements from B that are not already in A. So, (A U B) would be {1, 2, 3, 4, 5, 6, 7, 8, 11}.

Next, we need to find the intersection of (A U B) with set C, denoted as (A U B) n C. The intersection of two sets contains only the elements that are common to both sets. In this case, (A U B) n C would include only the elements that are present in both {1, 2, 3, 4, 5, 6, 7, 8, 11} and {1, 3, 5, 7, 9}.

After comparing the two sets, we can see that the common elements are 1, 3, 5, and 7. Therefore, the elements in (A U B) n C are {1, 3, 5, 7}.

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