number 7 please Find the value of y if B is between A and C, AB= 2y, BC= 6y, and AC = 48

Rational numbers, Real numbers, Natural numbers, whole number

Rational numbers can be written as a fraction. 49 can be written as a fraction

Real numbers consists of natural numbers, whole umbers, integers and rational numbers.

Since it is already a rational number, then it is also a real number

Natural numbers are counting numbers from 1 to positive infinity. 49 is between 1 to positive infinity.

Hence, it is a natural number

whole numbers start from 0 to positive infinity. 49 is between 0 to positive infinity.

Hence, it is a whole number

Irrational numbers cannot be written in the form of fraction. SInce 49 can be written as fraction, it is not an irrational number

Hence, the set(s) of numbers would you find the number 49 are Rational numbers, Real numbers, Natural numbers, whole number

$1683.06

1) Desde que Odalis invierte $1200 podemos escribir

$1200

7% anualmente ( 0.07)

Tiempo: 5 anos

2) Vamos aplicar esta formula:

Considerando una capitalización anual, tenemos al termino un valor de $1683.06

Remember that when adding positive and negative numbers,there are a couple of rules to follow. For example, in this case:

first, notice that since 8 is greater than 6, then the result will be a negative number.

Then, we substract 6 from 8 to get 2, so the final result would be:

Next, if we want to add two negative numbers, then we add the numbers and keep the negative sign, for example:

Notice that 2 plus 3 is 5, and since both 2 and 3 are negative,we have that:

If we want to substract a negative number from another negative number, like in thiscase:

just remember that anything that is inside of a parenthesis with a negative sign will change its sign, then, we have the following:

applying the same rules as before we have:

On the remaining cases, we have the following results:

To find out the difference, subtract the minimum value from the maximum value

so

15-(-23)=15+23=38 degrees

answer is 38 degrees

expression is 15-(-23)

Answer

The monthly cost for 72 minues of calls = $15.15

Explanation

Let the monthly cost in dollars of the long distance phone plan be represented by y.

Let the total calling time in minutes be represented by x.

We are told that montly cost in dollars of the long distance phone plan, y, is a linear function of the total calling time in minute, x. In mathematical terms and using the equation of a straight line model,

y = a + bx

where

a = fixed amount paid monthly

b = dollar per unit time rate charged on the calls

when x = 49 minutes, y = 13.08 dollars

13.08 = a + 49b ........... equation 1

when x = 86 minutes, y = 16.41 dollars

16.41 = a + 86b ........... equation 2

Combining these simultaneous equations

a + 49b = 13.08 .............. equation 1

a + 86b = 16.41 .............. equation 2

Subtract equation 1 from equation 2

a - a + 86b - 49b = 16.41 - 13.08

37b = 3.33

Divide both sides by 37

(37b/37) = (3.33/37)

b = 0.09 dollars per minute.

We can now solve for a

when b = 0.09

a + 49b = 13.08

a + 49(0.09) = 13.08

a + 4.41 = 13.08

a = 13.08 - 4.41

a = 8.67 dollars

So, the linear function that relates the montly cost in dollars of the long distance phone plan, y, to the total calling time in minute, x is

y = a + bx

a = $8.67 and b = $0.09 per minute

y = 8.67 + 0.09x

When total calling time in minutes, x = 72 minutes, we can now calculate the monthly cost, y.

y = 8.67 + 0.09x

y = 8.67 + 0.09(72)

y = 8.67 + 6.48

y = $15.15

Hope this Helps!!!

Step 1: Given data

Fairbanks temperature - -27 degrees

Phoenic temperature is 100 warmer than Fairbanks temperature

Step 2: Find the temperature of Phoenix.

Since the temperature of Phoenix is 100 warmer than that of Fairbank, then you will add 100 to the temperature of Fairbank.

Step 3: Final answer

The temperature of Fairbank = -27 + 100

= 73 degrees

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

initial profit = $10,007,911

profits fell per year = $37,104

linear model = ?

profits (2020) = ?

Step 02:

linear model:

x = years

y = 10007911 - 37104 x

Step 03:

profits (2020):

x = 30

y = 10007911 - 37104 (30)

y = 8894791

The answer is:

linear model: y = 10007911 - 37104 x

profits (2020): $8,894,791

Answer:

[tex]\frac{14}{9}[/tex] ≤[tex]\frac{13}{9}[/tex]

Step-by-step explanation:

4 ≤ 9x  - 10 ≤ 3    add 10 from the far left, the middle and the far right.

+10       +10    =10

14 ≤ 9  x ≤13  Divide all the way through by 9

[tex]\frac{14}{9}[/tex]≤x≤

The total profit of the company is represented by the equation -2x^2-600x-1500

Cost of each scooter = $200

Fixed cost of each scooter = $1500

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. The coefficient of x2 must be a non-zero term (a 0) in order for an equation to meet the definition of a quadratic equation.

Function of revenue R(x) = 400x -2x^2

Let x represent each electric scooter sold

The total cost of the scooter = Fixed cost + variable cost number of scooters sold

= 1500 + 200x

Profit = Revenue - Cost

= 400x - 2x^2 - 1500 + 200x

= 600x - 2x^2 -1500

-2x^2 - 600x -1500

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Solution

for this case we can find the lenght of the arc LM like this:

And the answer for this case would be 4pi

Answer:

$0.57 per ounce

Step-by-step explanation:

2.85/5 = 0.57

Answer:

Step-by-step explanation:

First, set up an equation: $2.85/5 oz.

Next, divide both the numerator and denominator by 5. NOTE: do them one at a time.

2.85/5=$0.57

5/5=1

So, the unit rate is $0.57/oz.

Let us assume that the dimension of each square is 1 unit by 1 unit

The figure is a rectangle. The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(length + width)

By counting the squares,

length = 7 * 1 = 7 units

width = 2 * 1 = 2 units

Perimeter = 2(7 + 2)

Perimeter = 18 units

The radius and height of a cylinder with volume 628 cubic inches are 5 inches and 8 inches respectively.

The volume of a given cylinder with radius r and height h can be calculated using the formula πr^2h.

In this question, we have the volume of the cylinder given as 628 cubic inches. The height of the cylinder is 3 inches longer than the radius of the can.

Lets assume the radius of the cylinder is equal to r

Substituting the values into the equation;

[tex]v = \pi r^2 h\\628 = \pi r^2 (r + 3)\\628 = 3.14* r^2(r+3)\\r = 5[/tex]

The radius of the equation is 5 inches and the height of the equation is 8 inches.

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The commission on $950 = 13/100 x 950 = $ 123.5

The commission on $2200 = 13/100 x 2200 = $286

The commission on $3000 = 13/100 x 3000 = $390

The commission on $2600 = 13/100 x 2600 = $338

Each commission = 13/100 x the amount in question

If the width (W) of the rectangle is 1 ft shorter than its length (L), then we can write the following equatiion:

W = L - 1

now since we know the formula for the area of a rectangle:

Area = length x width

Area = L * W

30 = L * (L - 1)

where we have substituted the width W using the expression in terms of the length in the first equation we wrote.

then we multiply as indicated:

30 = L^2 - L

and write all terms on one side of the equal sign:

L^2 - L - 30 = 0

we try solving this quadratic equation by grouping:

L^2 - 6 L + 5 L - 30 = 0

L (L - 6) + 5 (L - 6) = 0

(L - 6) * (L + 5) =0

then there are two possible solutions to make that product equal to zero:

L = 6

or

L= -5

We pick the POSITIVE answer since we are looking for a length

therefore the length of the rectangle is 6 feet.

Type a "6" in the blank of your question.

The slope of the line for the given coordinate point is: slope = 0

What is slope of the line?

In mathematics, the slope of the line is the ratio of the change in the y-axis and x-axis. Basically, it tells the steepness of the line. Depending upon the slope value, the line is categorized as parallel or perpendicular or constant line.

According to the question, the given coordinate points for the calculation of the slope of the line are as follows:

Points: (7, -4) and (11, -4)   ⇒ x1 = 7; y1 = -4; x2 = 11; y2 = -4

The formula for the slope of the line is as follows:

Slope = (y2 - y1)/(x2 - x1)

Slope = (-4 - (-4))/(11 - 7) = 0

Hence, the slope of the line for the given coordinate point is: slope = 0

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A binomial square have the following form:

So, from the coefficient of the second term, we can get the value a and with the value a we can calculate a² for the value of the third term, that is, the value we need to add to make it a perfect square.

We have the expression:

By comparing the second terms, we see that:

Since we have a, we can calculate a²:

So, this means the number we need to add is 49 and, since a is 7, the trinomial can be rewritten as:

So, add 49 and the square binomial is:

Answer:

The answer is 6.72 x 10⁷

Step-by-step explanation:

The answer is 6.72 x 10⁷ because I solved it and I got this answer.

The equivalent equations in the given choices are : 3x+5=4x+8 and 3x+4x=8-5.

What are equivalent equations?

Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value.

The equations that are equivalent are :

3x+5=4x+8 and 3x+4x=8-5

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SOLUTION

Let us use a simple diagram to interprete the question

In the diagram above, the dark stuff below represents the shadow and the rectangular bar represents the building. I have labelled the height of the building as h.

So we will use the right-angled triangle formed to find h

As we can see h represents the opposite side and 56.5 feet represents the adjacent side of the right-angle triangle. So we will use TOA

So we have

Hence the answer is 104.9 feet to the nearest tenth

Answer:

40%

Step-by-step explanation:

133-95=

38/95=

40%

The amount y (inThe cups) of flour is proportional to the number x of eggs in a recipe.The recipe calls for 5 cups of flour for every 3 eggs.Interpret the slope​

we have

y -----> cups of flour

x ----> number of eggs

so

slope=y/x

slope=5/3 cups of flour per egg

therefore

In this problem the slope is equal to the unit rate

to find out the slope divide the total cups of flour by the total number of eggs

so

we have

5/3=1.67

that means

We have the following:

We can calculate the answer by means of the trigonometric ratio of the sine, as follows

replacing:

Thefeore, the answer is D. 32.5 ft

Okay, here we have this:

We need to find the inverse of the following function:

First we will replace x with y:

Now, let's clear y:

Finally we obtain that the correct answer is the second option.

Answer: y= -1/2x - 2.5

Step-by-step explanation:

Slope: y= mx+ b

m being the slope

b being the y intercept

You're given the slope, so you substitute m for -1/2

y=mx+b

y =  -1/2x + b

You have the coordinates (5, -5) which you can substitute (the line passes through that point.)

-5 = -1/2(5) + b

-5 = -2.5 + b

+2.5   +2.5

-2.5= b

y= -1/2x + 2.5

Check:

-5 = -1/2(5) - 2.5

-5 = -2.5 - 2.5

-5 = -5

Answer:negative

Step-by-step explanation: the product of a negative number and a positive number

Given

Cost = $24.50

Tax = 6.55%

Procedure

The total cost of the product would be the cost plus the value of taxes.

The total amount would be $26.10

Notice that you are asked to find side "x" in a right angle triangle. and that side "x" is adjecent to the given acute angle of 47 degrees.

Since in this triangle you know the values of the adjacent angle (47 degrees) and that of the hypotenuse (3), you can use the trigonometric function that uses those, that is the "cosine" function of the angle:

Recall that :

so, we can solve for the unknown "adjacent" side (x) multiplying both sides by the hypotenuse value (3), and get:

Therefor, rounding this to two decimals we get:

x = 2.05

which agrees with answer "D" in your list.