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3 years ago

12

Miguel bought 4 pounds of walnuts for $10.92. What is the constant of proportionality that relates the cost in dollars, y, to th

e number of pounds of walnuts, x?

1 answer:

ruslelena [56]3 years ago

7 0

2.73

For each pound of walnuts, it costs $2.73.

All you have to do is divide 10.92 by 4.

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Which is a solution to the equation y = 2x – 5? A.(3, 11) B.(2, 1) C.(1, –3) D.(5, –5)

Dvinal [7]

The correct answer is C. (1, -3).

In the brackets, the first number refers to x, and the second to y (like when you write coordinates).

So we can check what is y ineach of the options and compare whether both of the sided of the equasion are equal:
A. 2x-5=-1, should be 11, false
B. 2x-5=4-9=-5, should be 1, false
C. 2x-5=2-5=-3, should be -3, correct
D. 2x-5=10-5=5, should be -5, false

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3 years ago

In mathematics given that x=L2-L1/L1(O2-O1).

Assoli18 [71]

Answer:

1. L1 = $\frac{L2}{X(O2 -O1)}$

2. O2 = $\frac{L2 - L1(1 + XO1)}{XL1}$

Step-by-step explanation:

Given: x = $\frac{L2 - L1}{L1(O2 -O1)}$

1. To make L1 the subject of formula;

x = $\frac{L2 - L1}{L1(O2 -O1)}$

cross multiply to have;

L2 - L1 = xL1(O2 - O1)

collect like terms,

L2 = xL1(O2 - O1) + L1

factorize the right hand side;

L2 = L1[x(O2 - O1)]

L1 = $\frac{L2}{X(O2 -O1)}$

2. To make O2 the subject of formula;

x = $\frac{L2 - L1}{L1(O2 -O1)}$

cross multiply to have;

L2 - L1 = xL1(O2 - O1)

open the bracket to have;

L2 - L1 = xL1O2 - xL1O1

⇒ xL1O2 = L2 - L1 + xL1O1

O2 = $\frac{L2-L1 + XL1O1}{XL1}$

= $\frac{L2 - L1(1 + XO1)}{XL1}$

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3 years ago

Tourists from a tour bus were asked about places they visited during their stay in a city. The results are shown in the table.

nlexa [21]

<span>Given:

visited museum   didn't visit museum Total

visited zoo 9   14 23

didn't visit zoo   5 2 7

Total 14 16 30

Simply look at the table and check the number that corresponds to visitors who visited the museum but did not visit the zoo. The number is 5.
Divide it by the total number of people surveyed. Total is 30.

Probability visited the museum but did not visit the zoo = 5/30 = 0.16666 or 16.67%</span>

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3 years ago

Brilliant_brown [7]

Answer:

Hope this will help you.

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3 years ago

Domain and range of the function and it’s inverse

sineoko [7]

Answer:

B (second table in list)

Step-by-step explanation:

The function is a quadratic with vertex and y-intercept at (0,-2). The parabola opens up meaning only y - values above -2 are a part of the function. Since range is the set of all y values, then the range is $y\geq -2$ .

The domain is not restricted and it is all real numbers.

The inverse of the function is where x and y are switched. So the range becomes the domain and vice verse.

This means the domain of the inverse is $x\geq -2$ and the range of the inverse is all real numbers.

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3 years ago