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n200080 [17]
2 years ago
6

Luther owns a farm where he grows red and green tomatoes. He sells both types of tomatoes for $1.70 per pound. One customer boug

ht 10.6 pounds of red tomatoes and 8.3 pounds of green tomatoes. How much money did Luther earn in all from that sale? $
Mathematics
1 answer:
pashok25 [27]2 years ago
6 0

Answer:

Total revenue= $32.13

Step-by-step explanation:

Giving the following information:

He sells both types of tomatoes for $1.70 per pound. One customer bought 10.6 pounds of red tomatoes and 8.3 pounds of green tomatoes.

<u>We need to calculate the total revenue:</u>

Total revenue= 1.7*10.6 + 1.7*8.3

Total revenue= $32.13

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Nikki drew a rectangle with a perimeter of 18 units on a coordinate grid. Two of the vertices were (4, –3) and (–1, –3). What co
Talja [164]

Answer:

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

Step-by-step explanation:

Geometrically speaking, the perimeter of a rectangle (p) is:

p = 2\cdot b + 2\cdot h (1)

Where:

b - Base of the rectangle.

h - Height of the rectangle.

Let suppose that the base of the rectangle is the line segment between (4, -3) and (-1, -3). The length of the base is calculated by Pythagorean Theorem:

b = \sqrt{[(-1)-4]^{2}+[(-3)-(-3)]^{2}}

b = 5

If we know that p = 18 and b = 5, then the height of the rectangle is:

2\cdot h = p-2\cdot b

h = \frac{p-2\cdot b}{2}

h = \frac{p}{2}-b

h = 4

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

8 0
1 year ago
In an article in Statistics and Computing [""An Iterative Monte Carlo Method for Nonconjugate Bayesian Analysis"" (1991, pp. 119
Marina CMI [18]

Answer:

Step-by-step explanation:

Hello!

a)

The dependent variable is

Y: length of a dugong

The explanatory variable is

X: age of a dugong

You need to estimate the linear regression of the length of the dugongs as a function of their age.

Using the given data I've estimated the regression using a statistic software:

The regression model is E(Yi)= α + βXi

The estimated model is ^Yi= a + bXi

Where a is the estimate of the intercept and b is the estimate of the slope:

a= 2.02

b= 0.03

And the estimate of the population variance of the error is Se²= 0.03

The estimated regression equation is ^Yi= 2.02 + 0.03Xi

b)

You have to estimate the length of a dugong when its age is 11 years using the model, for this all you have to do is replace X=11 in the regression line and calculate the corresponding ^Y value:

^Yi= 2.02 + 0.03*11= 2.35

The average length of an 11-year-old dugong should be 2.35.

I hope it helps!

5 0
2 years ago
In the local coed softball league the male to female ratio is 6:6 if there are a 160 players in the league how many are female
Lemur [1.5K]
80 because wht the ratio is implying is that for every boy there is the same amount of girls
5 0
2 years ago
Is the statement "Two matrices are row equivalent if they have the same number of rows" true or false? Explain. A. True, because
vlabodo [156]

Answer: The answer is (C).


Step-by-step explanation: The given statement is - "Two matrices are row equivalent if they have the same number of rows". We are to explain whether the statement is true or false.

What are row equivalent matrices? The answer to this question is -

Two matrices are said to be row equivalent if one of the matrices can be obtained from the other by applying a number of elementary row operations. Or, we can say two matrices of same order are row equivalent if they have same row space.

Thus, the correct option is (C).



7 0
2 years ago
The front walkway from the street to Pam's house has an area of 250ft^2. Its length is two less than four times its width. Find
OleMash [197]

Answer: the length of the walkway is 30.64ft

The width of the walkway is 8.16ft

Step-by-step explanation:

Since the walkway has length and width, it is rectangular in shape. For a rectangle, the two lengths and two widths are equal. The area is expressed as length, L × Width,W.

The front walkway from the street to Pam's house has an area of 250ft^2. It means that

LW = 250

Its length is two less than four times its width. It means

L = 4W - 2

Substituting L = 4W - 2 into LW = 250, it becomes

W(4W - 2) = 250

4W^2 - 2W- 250 = 0

Using the general formula for quadratic equations,

W = [- b ± √b^2 - 4ac]/2a

a = 4

b = -2

c = - 250

W= [- - 2 ±√-2^2 -4(4 × -250)]/2×4

= (2 ± √4 + 4000)/8

= (2 ±63.277)/8

W= (2 + 63.277)/8 or W = (2 - 63.277)/8

W = 8.16 or W = - 7.91

Since the width cannot be negative, width = 8.16 ft

LW = 250

8.16L = 250

L = 250/8.16 = 30.64 ft

8 0
2 years ago
Read 2 more answers
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