Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and (–12, –9). He writes the equation 7x – 10y = 3. Is this a good model? Explain your reasoning.

Answers

Answer 1

Answer: For this case we have the following equation:
$7x - 10y = 3$
From here, we must substitute ordered pairs of the form:
(x, y)
If the ordered pair satisfies the equation, then it belongs to the line.
We have then:

For (8, 5):
We substitute the following values:
$x = 8 y = 5 7 (8) - 10 (5) = 3 56 - 50 = 3 6 = 3$
We observe that the equation is not satisfied and therefore, this point does not belong to the line.
Since one of the points does not belong to the line, then the equation is not a good model.

Answer:
It is not a good model. One of the points does not belong to the line.

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A sandwich shop offers ham, turkey, tuna, chicken salad, and roast beef. It has Swiss, American, and provolone cheese. You can order a sandwich on white, wheat, or rye bread. If a person orders a sandwich and chooses a meat, cheese, and bread at random, how many sandwich choices are there?

Answers

5 different meats

3 different cheeses

3 different breads

5x3x3 = 15*3 = 45

there are 45 choices

Final answer:

The sandwich shop offers a total of 45 different sandwich combinations based on the given options of meats, cheeses, and breads. Each sandwich consists of one type of each category.

Explanation:

The question asked is related to the concept of combinations in mathematics. It gives a variety of choices for making a sandwich - 5 types of meats, 3 types of cheeses, and 3 types of breads. Assuming that each sandwich will have one meat, one cheese, and one type of bread, we can calculate the total combinations by multiplying the number of options in each category together. Combinations are used when the order of selection does not matter.

So, the total number of sandwich combinations would be 5 (meats) * 3 (cheeses) * 3 (breads) = 45 different sandwich choices.

Learn more about Sandwich Combinations here:

brainly.com/question/29295486

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Gabriel is making a mixture of compost and soil to use for a special plant. He wants his final mix to be 2 parts compost and 8 parts soil. He wants to end up with 12 kilograms to mix. How many kilograms of compost should Gabriel use?

Answers

I thought about it this way; the ratio between compost and soil is 2/8. 2/8 is also equal to 1/4, and 1/4 of 12 is 3. So you'd want 3 kilograms of compost a d 9kg of soil. (:

about 0.9 i think. i may be wrong so dont take my word for it

Which of the following statements is true about the three quadrilaterals?O M and O are similar and congruent.
O O and N are similar and congruent.
OM and N are similar but not congruent.
OM and O are similar but not congruent.

Answers

Answer:

Step-by-step explanation:

Which is equivalent to (−2m + 5n)2, and what type of special product is it4m2 + 25n2; a perfect square trinomial 4m2 + 25n2; the difference of squares 4m2 − 20mn + 25n2; a perfect square trinomial 4m2 − 20mn + 25n2; the difference of squares

Answers

We'll calculate the product:

$(-2m+5n)^2=(-2m+5n)(-2m+5n)\n\n (-2m+5n)^2=(-2m)\cdot(-2m+5n)+(5n)(-2m+5n)\n\n (-2m+5n)^2=[(-2m)\cdot(-2m)+(-2m)\cdot(5n)]+[(5n)\cdot(-2m)+(5n)\cdot(5n)]\n\n (-2m+5n)^2=4m^2-10mn-10mn+25n^2\n\n (-2m+5n)^2=4m^2-20mn+25n^2$

So, the answer is:

$4m^2-20mn+25n^2,~\text{a perferct square trinomial.}$

The concept of the square is applied that is the multiplication of the term itself two times.

The equivalent function of $\rm (-2m + 5n)^2$ is $\rm 4m^2 - 20mn + 25n^2$ .

What is an equivalent function?

The equivalent is the functions that are in different forms but are equal to the samevalue.

Given

(-2m + 5n)² is a function.

To find

The equivalent function of (-2m + 5n)².

We know that this can be written as

(-2m + 5n) x (-2m + 5n)

On multiply, we have

$\rm (-2m + 5n)(-2m + 5n)\n\n-2m(-2m + 5n) + 5n(-2m + 5n)\n\n(-2m)^2 - 10mn -10mn + (5n)^2\n\n4m^2 - 20mn + 25n^2$

Thus, the equivalent function of (-2m + 5n)² is 4m² - 20mn + 25n².

More about the equivalent function link is given below.

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A seafood restaurant claims an increase of $1,050 over its average profit during a week where it introduced a special of baked clams.The restaurant received $
150
extra profit per day.
If it had, instead, lost $350 per day, how much money would it have lost for the week?

Answers

Answer:

$2450

Step-by-step explanation:

One week = 7 days

$350 = 1 day

$ 2450 = 7 days(1 week)

350 * 7 = 2450

The work of a student to solve a set of equations is shown:Equation A: y = 15 – 2z

Equation B: 3y = 3 – 4z

Step 1: –3(y) = –3(15 – 2z) [Equation A is multiplied by –3.]
3y = 3 – 4z [Equation B]
Step 2: –3y = 15 – 2z [Equation A in Step 1 is simplified.]
3y = 3 – 4z [Equation B]
Step 3: 0 = 18 – 6z [Equations in Step 2 are added.]
Step 4: 6z = 18
Step 5: z = 3

In which step did the student first make an error

Answers

Step 1. Equation B could not have simplified out to 3y= 3 - 4z because Equation A's original equation was y= 15 - 2z. That means after the multiplication by -3, -3(y)= -3(15 - 2z) it would equal -3y= -45 + 6z.

Answer:

Step 2

Step-by-step explanation:

Where did the -3 from the first equation get simplified to?

Step 1: –3(y) = –3(15 – 2z)

Step 2: 3y = 15 – 2z

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