the length of a rectangle is 3 more than 3 times it’s width. the perimeter of the rectangle is 174 inches. what is the length of the rectangle?

The unit cost of an apple in a crate of 250 apples is $2.63.

Given the following data:

To determine the unit cost of an apple:

In this exercise, you're required to calculate the cost of one apple in a crate, knowing that there are 250 apples in total at a cost of $95.

Thus, we would divide the total number of apples by the total cost of all the apples as follows:

[tex]Unit\;cost = \frac{Total\;apples}{Total\;cost}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Unit\;cost = \frac{250}{95}[/tex]

Unit cost = $2.63

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[tex] \rightarrow [/tex] 12.5%

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To solve, use the formula:

[tex] \rightarrow \: \rm Percent \: of \: Increase = \frac{Amount \: of \: Increase}{Original \: Amount} \\ [/tex]

Solve.

[tex] \rightarrow \: \rm = \frac{16 - 12}{12} [/tex] Amount of increase: 16 - 12 = 2

[tex] \rightarrow \: \rm = \frac{2}{16} [/tex] Simplify.

[tex] \rightarrow \: \rm = \frac{x}{100} = \frac{1}{8}[/tex] Write the fraction as a percent.

[tex] \rightarrow [/tex]8x = 100 Find the product of the extreme and the means.

[tex] \rightarrow \: \rm = \frac{8x}{8} = \frac{100}{8}[/tex] Divide both sides by 8.

[tex] \rightarrow [/tex]x = 12.5

Therefore, the percentage of increase in the item is 12.5%.

Answer:

Step-by-step explanation:

Replace f(x) with y. y = x − 7

Interchange the variables.  x = y − 7

Solve for y.  y = x + 7

Solve for y and replace with f^−1 (x).  f^−1(x) = x + 7

I hope this helps have a great day :)

Answer:

360 days

Step-by-step explanation:

It would be a whole year until the classes line up on the same day again, because it would only be the exact same date of the next year that they line up.

Hope this helps!

Answer:

The answer is slope: -32 y-intercept:480

Step-by-step explanation:

I took the test

Answer: slope -32 y-intercept 480

Step-by-step explanation:

Took the k12 test

Answer:

1 is 12

2 is 106

3 is 42

Step-by-step explanation:

1: PEMDAS. 5x2=10 4 to the power of 2 is 16 so 18-16=2 2+10=12

2: 9 to the power of 2 is 81. 4x7=28 28-3=25 81+25=106

3: 5 to the power of 2 is 25 7x3=21 25-4=21 21+21=42

This can be represented by the exponential function:

[tex]P=378(2)^\frac{t}{36}[/tex]

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

Let P represent the population of the bacteria after t minutes.

Since the bacteria starts with a population of 378, hence a = 378. The bacteria doubles every 36 minutes, This can be represented by:

[tex]P=378(2)^\frac{t}{36}[/tex]

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Answer:

  411

Step-by-step explanation:

Put the values where the variables are and do the arithmetic.

  3s³ +4t² = 3(5³) +4(3²)

  = 3(125) +4(9) = 375 +36 = 411

Answer:

-48

Step-by-step explanation:

2x3y

\/

2(-2) * 3(4)

\/

-4 * 12

\/

-48

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer: -48

Step-by-step explanation:

2(-2)3(4) = -4*12 = -48

Answer:

1.25 miles

Step-by-step explanation:

0.25 miles = 8 seconds

x miles = 40 seconds

0.25/8 = x/40

0.25 * 40 = 8x

10 = 8x

x = 1.25

-Chetan K

Answer:

[tex](12 \times 2) - \left(\dfrac{45}5 \right) =24 -9 = 15[/tex]

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

(12 × 2) - (45 / 5) ← evaluate parenthesis

= 24 - 9

= 15

Answer:

D) 1530

Step-by-step explanation:

I used Desmos :)

Answer:

Carbon, hydrogen and oxygen

Step-by-step explanation:

Hope it can help you lovelots

Answer:x=3

Step-by-step explanation:

just letting you know that the variable is x on here thats just what happened it is the right answer though

Answer:

See below

Step-by-step explanation:

The given modifier solves this without further update.

See attached table

Answer:

Step-by-step explanation:

14/3 = 4⅔

343/32 = 10 ²³/₃₂

26/3 = 8⅔

Answer:

It's not a function

Because it's not a function, you don't have to answer b and c

Answer:

hello mam I don't know what to say to someone who makes the way to the way to the way to the way to the way to the way to work now where is my turn to the dark side I will be

Answer:The mean deviation of the given data is;

Option B: 1

Step-by-step explanation:

Σ(x - x¯)/n

Now, x¯ is the mean = (1 + 2 + 3 + 3 + 4 + 5)/5

x¯ = 3

Thus;

1 - 3 = -2

2 - 3 = -1

3 - 3 = 0

3 - 3 = 0

4 - 3 = 1

5 - 3 = 2

Mean deviation is usually a positive value. Thus;

Σ(x - x¯) = 2 + 1 + 0 + 0 + 1 + 2

Σ(x - x¯) = 6

Thus;

Σ(x - x¯)/n = 6/6

Σ(x - x¯)/n = 1

Answer:

Step-by-step explanation:

Mr. Anderson's rate is:

Given options, find rates and compare with the above number:

Answer: Definitely point A

Step-by-step explanation:

Answer:    y= 4x² +2x -4

C. y = 4x2 + 2x − 4

Step-by-step explanation:  f(x)=4x^2+2x-4

Given three points

P1(-2,8)

P2(0,-4)

P3(4,68)

We need the quadratic equation that passes through all three points.

Solution:

We first assume the final equation to be

f(x)=ax^2+bx+c .............................(0)

Observations:

1. Points are not symmetric, so cannot find vertex visually.

2. Using the point (0,-4) we substitute x=0 into f(x) to get

f(0)=0+0+c=-4, hence c=-4.

3. We will use the two other points (P1 & P3) to set up a system of two equations to find a and b.

f(-2)=a(-2)^2+b(-2)-4=8 => 4a-2b-4=8.................(1)

f(4)=a(4^2)+b(4)-4=68 =>  16a+4b-4=68.............(2)

4. Solve system

2(1)+(2) => 24a+0b-12=84 => 24a=96 => a=96/24 => a=4 ......(3)

substitute (3) in (2) => 16(4)+4b-4=68 => b=8/4 => b=2  ..........(4)

5. Put values c=-4, a=4, b=2 into equation (0) to get

f(x)=4x^2+2x-4

Check:

f(-2)=4((-2)^2)+2(-2)-4=16-4-4=8

f(0)=0+0-4 = -4

f(4)=4(4^2)+2(4)-4=64+8-4=68

So all consistent, => solution ok.

...............................................................................................................................................

Answer:

y = 4x² + 2x − 4

Step-by-step explanation:

The y-values go down and up again, so the parabola opens upward. That means the x² coefficient must be positive. All answer choices are eliminated except one.

y = 4x² +2x -4

 There are other ways to get the answer. One of them is to use the quadratic regression function of a spreadsheet or graphing calculator. The one attached shows the points are matched by the equation ...

y = 4x² +2x -4 . . . . . as above

...............................................................................................................................................

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 3=-25(-5)+b[/tex]

[tex]\\ \sf\longmapsto 3=125+b[/tex]

[tex]\\ \sf\longmapsto b=-122[/tex]

Equation of the line

[tex]\\ \sf\longmapsto y=-25x-122[/tex]

Answer:

[tex] \: \: \: \: \: \: [/tex]

Answer:

10 units

Step-by-step explanation:

Area of smaller ∆ ,

= 1/2 * 2 * 2 = 2 u

Area of larger ∆ ,

= 1/2 * 4 * 4 = 8u

Total area = 8u + 2u = 10 units