The length of a rectangle is 4ft less than 3 times width. Perimeter is 54 ft. What equation can be used to find the width of the rectangle
(3w-4)+2w=54
2(3w-4)+2w=54
w(3w-4)=54
2(4w-3)+2w=54

Given the expression:

Remove brackets

Collect like terms and evaluate

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

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)

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

The value of "y" that satisfies the given conditions is -8.

The first straight line passes through two points. The coordinates of the two points are (−4, 9) and (4, 3). The second straight line passes through two points. The coordinates of the two points are (−8, 1) and (4, y).

We know that the first line is parallel to the second line. Hence, the slope of both the lines must be equal.

The slope of the first line is :

m1 = (3-9)/[4-(-4)]

m1 = -6/8

m1 = -3/4

The slope of the second line is :

m2 = (y-1)/[4-(-8)]

m2 = (y-1)/12

We know that m1 = m2.

-3/4 = (y-1)/12

y = -8

To learn more about slope, visit :

https://brainly.com/question/3605446

#SPJ1

The object change direction when the first derivative change its sign,. So we need to find the first derivative and equate this result to zero.

The first derivative is given by

By equating this result to zero ,we have

This implies that

so, the first derivative change its sign when

as we can note in the following graph:

because the graphs falls when t= 5seconds.

This means that the motion objects change direction at t=5 seconds.

Answer:

Please read my updated answer.

I am wasn't sure what you were asking so here and 2 answers.

1st answer [tex]y=\frac{1}{e}[/tex]

2nd answer [tex]\frac{dy}{dx}=-\frac{y}{x+7e}[/tex]

Step-by-step explanation:

[tex]xy+7ey=7[/tex]

[tex]when \\ x=0[/tex]

Substitute [tex]0[/tex] for [tex]x[/tex] then simplify.

[tex](0*y)+7ey=7\\ 0+7ey=7\\ 7ey=7[/tex]

Divide each term in [tex]7ey=7[/tex] by [tex]7e[/tex] and simplify.

[tex]\frac{7ey}{7e}=\frac{7}{7e}[/tex]

Cancel the common factor of [tex]7[/tex] on the left side.

Rewrite the expression.

[tex]\frac{ey}{e}=\frac{7}{7e}[/tex]

Cancel the common factor of [tex]e[/tex] on the left side.

[tex]y=\frac{7}{7e}[/tex]

Cancel the common factor of 7 on the right side.

Rewrite the expression.

[tex]y=\frac{1}{e}[/tex]

2nd Answer

Step-by-step explanation:

[tex]xy+7ey=7[/tex]

Differentiate both sides of the equation.

[tex]\frac{d}{dx} (xy+7ey)=\frac{d}{dx}(7e)[/tex]

Differentiate the left side of the equation.

By the Sum Rule, the derivative of [tex]xy+7ey[/tex] with respect to x is [tex]\frac{d}{dx} [xy]+\frac{d}{dx}[7ey][/tex]

Evaluate [tex]\frac{d}{dx} [xy][/tex]

Differentiate using the Product Rule

Rewrite [tex]\frac{d}{dx} [xy][/tex] as [tex]y'[/tex].

[tex]xy'+y+\frac{d}{dx} [7ey][/tex]

Evaluate [tex]\frac{d}{dx} [7ey][/tex]

Since [tex]7e[/tex] is constant with respect to [tex]x[/tex], the derivative of [tex]7e[/tex] with respect to [tex]x[/tex] is [tex]0[/tex].

Reform the equation by setting the left side equal to the right side.

[tex]xy'+7ey'+y=0[/tex]

Solve for [tex]y'[/tex].

Subtract [tex]y[/tex] from both sides of the equation.

[tex]xy'+7ey'=-y[/tex]

Factor [tex]y'[/tex] out of [tex]xy'[/tex].

[tex]y'x+7ey'=-y[/tex]

Factor [tex]y'[/tex] out of [tex]7ey'[/tex].

[tex]y'(x)+y'(7e)=-y[/tex]

Factor out [tex]y'[/tex] out of  [tex]y'(x)+y'(7e)[/tex]

[tex]y'(x+7e)=-y[/tex]

Divide each term in [tex]y'(x+7e)=-y[/tex] by [tex]x+7e[/tex] and simplify.

[tex]\frac{y'(x+7e)}{x+7e} =\frac{-y}{x+7e}[/tex]

Cancel the common factor of [tex]x+7e[/tex].

[tex]y'=-\frac{-y}{x+7e}[/tex]

Replace [tex]y'[/tex] with  [tex]\frac{dy}{dx}=-\frac{y}{x+7e}[/tex]

[tex]\frac{dy}{dx}=-\frac{y}{x+7e}[/tex]

5, 10, 20, 40, . . .

The geometric sequence formula

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:

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.

Answer:

Step-by-step explanation:

d

c

a

b i think

a

work for question #4:

Side a = 30.27382

Side b = 30

Side c = 27.83241

Angle ∠A = 63° = 1.09956 rad = 7/20π

Angle ∠B = 62° = 1.0821 rad

Angle ∠C = 55° = 0.95993 rad

Answer:-0.924025

Step-by-step explanation:

[(9.65 - 9.74) / 9.74] × 100%

= -0.0092402464066 × 100%

= -0.92402464066%

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≤

Answer:

40%

Step-by-step explanation:

133-95=

38/95=

40%

Answer:

Therefore he drank 62.5% of the glass. a little bit above half.

Answer:62.5 percentage of water

Step-by-step explanation: divide 5 by 8 the whole, then multiply by 100 to get the percentage

the divisor = 5

Explanation:

let the divisor be = x

dividend = number to be divided = 415

quotient = result of the division = 83

dividend/divisor = quotient

415/x = 83

cross multiply:

415 = 83x

Divide both sides by 83:

83x/83 = 415/83

x = 5

Hence, the divisor = 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

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.

Learn more on volume of a cylinder here;

https://brainly.com/question/27535498

#SPJ1

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

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!!!

$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:

Answer:

x¹¹ • x⁹

Step-by-step explanation:

so hope it help

have a nice day

Answer:

560

Step-by-step explanation:

If 65% were females, 35% were males.

1600(35%) = 1600(0.35) = 560

We have the following values and their probabilities:

1 day = 0.1

2 days = 0.65

3 days = 0.25

Expected value = 1 (0.1) + 2 (0.65) + 3(0.25) = 0.1 + 1.3+ 0.75 = 2.15

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.

For the given question.

US flag has to be made by total 90 marbles.

Let the number of white marbles be 'x'.

Red marbles are three times the white marble = '3x'.

Blue marbles be twice of white marble = '2x'.

Total marbles = white marble + red marble + blue marble

90 = x + 2x + 3x

6x = 90

x = 15

White marble = 15.

Blue marble 2x = 2×15 = 30.

Red marble 3x = 3×15 = 45.

Probability = favourable outcomes /total outcome

The probability for picking red marble = 45/90 = 1/2.

The probability for picking blue marble = 30/90 = 1/3.

Probability (red or blue) = 1/2 × 1/3

Probability (red or blue) = 1/6

Thus, the probability for picking red or blue marble is 1/6.

To know more about the linear equation, here

https://brainly.com/question/2030026

#SPJ13

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

To learn more about the slope of the line from the given link:

https://brainly.com/question/3493733

#SPJ9

Since the explicit formula of the sequence is

Where n is the position of any term

We need to find the sixth term, which means

n = 6

Substitute n by 6 in the formula above

The sixth term is -26

The answer is B (2nd answer)