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enyata [817]
2 years ago
6

This week at the farmers market the price of oranges per pound decreased by 20% compared to last week if the price of oranges th

is week is $3.89 which equation would represent the sales price of oranges?
Mathematics
1 answer:
sashaice [31]2 years ago
4 0

Answer:

Orange per pound= $4.86

Step-by-step explanation:

Giving the following information:

Decrease rate= 20%

Price this week= $3.89 per pound

<u>To calculate the price of oranges last week, we need to use the following formula:</u>

Orange per pound= price this week / (1 - decrease rate)

Orange per pound= 3.89 / (1 - 0.8)

Orange per pound= $4.86

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3x+17+5x=7x+10<br> Solve for x
Citrus2011 [14]
3x+17+5x=7x+10
Simplify:
3x+5x+17=7x+10
8x+17=7x+10
Get the variables on one side:
8x-7x+17=7x-7x+10
x+17=10
One-step equation:
x=-7

3 0
3 years ago
Solve for x 4x = -29 gove your answer as an improper fraction in its simplest form​
mihalych1998 [28]
Exact form= -29/4
Decimal form = -7.25
Mixed number form = -7(1/4)
8 0
2 years ago
respond to the following in a minimum of 175 of your own words: how would you explain the differences between the trapezoidal ru
harkovskaia [24]

The differences between the trapezoidal rule and simpson's rule is -

The trapezoidal rule and Simpson's method, the latter a set of formulas of varying complexity, are both Newton-Cotes formulas, that are used to examine and model complex curves.

<h3>What is trapezoidal rule?</h3>

The trapezoidal rule is just an integration rule that divides a curve into small trapezoids to calculate the area under it. A area under the curve is calculated by adding the areas of all the small trapezoids.

Follow the steps below to use the trapezoidal rule to determine the area under given curve, y = f. (x).

  • Step 1: Write down the total number of sub-intervals, "n," as well as the intervals "a" and "b."
  • Step 2: Use the formula to determine the width of the sub-interval, h (or) x = (b - a)/n.
  • Step 3: Use the obtained values to calculate this same approximate area of a given curve, ba f(x)dx Tn = (x/2) [f(x0) + 2 f(x1) + 2 f(x2) +....+ 2 f(n-1) + f(n)], where xi = a + ix
<h3>What is Simpson's method?</h3>

Simpson's rule is used to approximate the area beneath the graph of the function f to determine the value of the a definite integral (such that, of the form  b∫ₐ f(x) dx.

Simpson's 1/3 rule provides a more precise approximation. Here are the steps for using Simpson's rule to approximate the integral ba f(x) dx.

  • Step 1: Figure out the values of 'a' & 'b' from interval [a, b], as well as the value of 'n,' which represents the number of subintervals.
  • Step 2: Determine the width of every subinterval using the formula h = (b - a)/n.
  • Step 3: Using the interval width 'h,' divide this same interval [a, b] [x₀, x₁], [x₁, x₂], [x₂, x₃], ..., [xn-2, xn-1], [xn-1, xn] into 'n' subintervals.
  • Step 4: In Simpson's rule formula, substitute all of these values and simplify. b∫ₐ f(x) dx ≈ (h/3) [f(x0)+4 f(x1)+2 f(x2)+ ... +2 f(xn-2)+4 f(xn-1)+f(xn)].

Thus, sometimes we cannot solve an integral using any integration technique, and other times we don't have a particular function to integrate. Simpson's rule aids in approximating the significance of the definite integral in such cases.

To know more about the Simpson's method and trapezoidal rule, here

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3 0
11 months ago
Find the least squares regression line for the data points. (Let x be the independent variable and y be the dependent variable.)
solniwko [45]

Answer:

y = - 0.9167 - 0.75x

Step-by-step explanation:

Given the data:

(−1, 0), (1, −2), (3, −3)

X : - 1, 1, 3

Y : 0, - 2, - 3

The regression model is written in the form:

y = C + mx

Where ;

C = intercept ; m = slope / gradient

Using the regression model calculator on the data values given above :

Slope (m) = - 0.75

Intercept (c) = - 0.9167

Hence,

y = - 0.9167 - 0.75x

c

6 0
2 years ago
Four ounces of oregano and 2 ounces of garlic powder are mixed to create a poultry seasoning. Oregano costs $4 per ounce, and ga
Dovator [93]

Answer:

y = $6

Step-by-step explanation:

In the image below, the table of your question is attached

Based on the information presented in the table.

1 ounce of oregano costs $4

Because there are 4 ounces, this means that

x = 4*($4) = $16

1 ounce of garlic powder $3

Because there are 2 ounces, this means that

y = 2*($3) = $6

Total cost of the ingredients  =  x+y = 22 $

5 0
3 years ago
Read 2 more answers
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