Line L has equation y = 4x - 7, and line M is parallel to line L and passes through the point (2, 15). Determine the equation of line M. A) y = 4x + 7 B) y = 2x + 7 C) y = 4x + 15 D) y = 2x + 15

A student's question about optimizing spending a $50 gift certificate on books and CDs was addressed by creating a system of inequalities, graphing the possible solutions, explaining why the point (2,6) isn't a solution, and discussing how to almost entirely spend the gift certificate.

Let's address the student's question step by step. Given a $50 gift certificate, a CD costs $9.99 and a book costs $5.99, we need to create a system of inequalities to represent the spending limits with at least one CD purchase (y).

Part A - System of Inequalities

The inequalities can be written as follows:

The total cost of books and CDs must not exceed $50: 5.99x + 9.99y \<= 50

You must buy at least one CD: y \"> or equal to 1

Part B - Graph of the System

Graphing these inequalities will give us a region of possible solutions where any point within that region represents an allowable combination of books (x) and CDs (y).

Part C - Interpretation of the Point (2,6)

The ordered pair (2,6) represents buying 2 books and 6 CDs. To determine if this is a solution, plug the values into the inequalities:

5.99(2) + 9.99(6) = 11.98 + 59.94 = 71.92 which is > 50. So, it's not a solution.

Part D - Maximizing the Gift Certificate

A solution that spends almost all of the gift certificate would be close to the line 5.99x + 9.99y = 50 but does not exceed it. Students would need to find whole number pairs for x and y that satisfy this condition.

The answer you are looking for is true

Answer:

The answer is true.

Step-by-step explanation:

Ratio and Proportion can be used to convert weights between different systems of measurement. This is true.

When we are given any problem with different measurements, then we should first convert the problem in such a unit that all units are the same.

We can define ratio as a comparison between two numbers.  

Whereas the proportion is a comparison between two ratios.

Answer:

2345 units^2

Step-by-step explanation:

First, you can use Soh Cah Toa to find line c to be 36*sqrt(2). Furthermore, you can use the same equation to find the other sides to be both 65.15. To further solve, you just need to multiply 65.15 by 36 to get a final answer of 2,345.4 units^2

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Answer:

11/2 = 5 1/2

Step-by-step explanation:

if i'm not mistaken, the answer should be square pyramid and rectangular prism.  hope this helps and i apologize if it is incorrect.

In general, the probability of a disjunction is

[tex]P(A \lor B) = P(A)+P(B)-P(A\cap B)[/tex]

In this case, A and B are mutually exclusive, so [tex]P(A\cap B)=0[/tex]

This simplifies the formula to

[tex]P(A \lor B) = P(A)+P(B) = 0.22+0.46 = 0.68[/tex]

Roughly about 25% or 1/4

Answer:

Step-by-step explanation:

12

I believe

Answer:

2 2/3 is what I got

Step-by-step explanation:

subtract 5/6 from 3 1/2

Final answer:

Derek's sign is 2 feet and 11/12 of a foot long, as we multiply 7/2 (Julianne's sign length in improper fraction) by 5/6 (the length ratio of Derek's sign to Julianne's) to get the answer.

Explanation:

To find the length of the sign Derek made, we need to calculate 5/6 of the length of Julianne's sign. Julianne's sign is 3 1/2 feet long. To facilitate the multiplication, we first convert 3 1/2 feet to an improper fraction, which is 7/2 feet.

Now, we multiply 7/2 (the length of Julianne's sign) by 5/6 (the factor by which Derek's sign is shorter).

(7/2) × (5/6) = 35/12 feet

To simplify 35/12, we divide 35 by 12, which equals 2 with a remainder of 11. Therefore, Derek's sign is 2 feet and 11/12 of a foot, or approximately 2.92 feet long.

➷ Standard deviation = [tex]\sqrt{(n*p)(1 - p)}[/tex]

Substitute the values in:

[tex]\sqrt{(500 *0.84)(1-0.84)}[/tex] = 8.1975...

This can be rounded to give an approximate answer of 8.2

The answer is option A.

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Answer:

X = 0.5 of her lawn

Step-by-step explanation:

If

1/4  ---> 1/2 hour

X?  ----> 1 hour

Then

X = [1*(1/4)] / 1/2

X = 0.5 of her lawn

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Answer:

the variability of tempuratures in town A and town B was the same

Answer :

[tex]A = 452.16 \: {ft}^{2}[/tex]

step-by-step explanation:

From the question,

the diameter:

[tex]d = 24 \: ft[/tex]

The radius :

[tex]r = \frac{diameter}{2}= \frac{24}{2}=12 \: ft[/tex]

[tex]\pi = 3.14[/tex]

Area of a circle is given as

[tex]A = \pi {r}^{2} [/tex]

By substitution,

[tex]A = 3.14( {12}^{2} )[/tex]

[tex]\implies \: A = 3.14 \times 144[/tex]

[tex]\implies \: A = 452.16 \: {ft}^{2} [/tex]

Hence the area of the home is

[tex]A = 452.16 \: {ft}^{2}[/tex]

(2/3)x+1=(1/6)x-7

*Isolate the variable by subtracting (1/6)x from both sides*

0.5x+1=-7

*Subtract 1 from both sides*

0.5x=-8

*Divide both sides by 0.5*

A. x=-16

Hope this helps!!

Answer:

A

Step-by-step explanation:

To eliminate the fractions in the equation, multiply all terms by the lowest common multiple of 3 and 6, that is 6

4x + 6 = x - 42 ( subtract x from both sides )

3x + 6 = - 42 ( subtract 6 from both sides )

3x = - 48 ( divide both sides by 3 )

x = - 16

the answer is Z. you can see the graph decrease first then increasing

Answer:

-11 yards

Step-by-step explanation:

the first loss is represented by -4 and the second loss is represented by -7.

The sum of negative numbers will be:

(-4) + (-7) = -11

The sum of negative integers representing the football team's loss of yards on two plays is -4 + (-7), which equals -11 yards. This represents the total yardage lost by the team.

To represent the football team's loss of yards with a sum of negative integers, we can write -4 (for the loss of 4 yards on one play) and -7 (for the loss of 7 yards on another play). The sum would therefore be -4 + (-7).

When two negative numbers add, the answer has a negative sign. Using this rule, we calculate the sum:

-4 + (-7) = -4 - 7 = -11

The sum of -11 represents the total yardage lost by the football team over the two plays. The team has lost 11 yards in total.

Answer:

y = 3x + 5

Step-by-step explanation:

First start  at your y intercept (5) and use the rise to run ratio (rise 3, run 1) and there is a point on every single one.

1/3 wouldn't work because you rise 1 and go right 3 and that does not match any of the points

Using the two points first gives us a slope of 3

(1, 8) (2, 11)

m(slope) = (y2 - y1)/(x2 - x1)

m = (11 - 8)/(2 - 1)

m = 3/1

m = 3

We also know that 8 cannot be the intercept being as it is the point at x = 1. Therefore, we know that y = 3x + 5 must be the only possible answer.

Answer:

The answer is B. y = 3x+5

Step-by-step explanation:

Answer:

what number divided by 9 is 5? answer is 45

Step-by-step explanation:

Answer:

You must multiply. j = 45

Step-by-step explanation:

If j divided by 9 equals 5 than you must multiply 9 x 5 = j and j = 45

Answer:

5

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 4, 8 ] and from the graph

f(b) = f(8) = 10

f(a) = f(4) = - 10, hence

average rate of change = [tex]\frac{10-(-10)}{8-4}[/tex] = [tex]\frac{20}{4}[/tex] = 5

Answer:

54 feet per minute or -54 feet per minute

Step-by-step explanation:

You can find the mean change of altitude by dividing -378 by 7, which gives you -54.

Answer:

1.25

Step-by-step explanation:

6x+14x-6x÷4x

10x-8

1.25

Step-by-step explanation:

1.  If any one side and any one common angle are equal in triangles PQR and PRS, then their corresponding sides are also equal.

2. If two sides and one included angle are equal in triangles PQS and PRS, then their third sides are equal.

3.  In triangles PQR and PQS, if one side and one angle are equal, then their corresponding sides and angles are also equal.

4. In triangles PRS and PQS, all three angles are equal.

Answer:

Step-by-step explanation:

Only (-3)(-5) = + 15, so the fourth answer is the correct one.

Answer:   [tex]\bold{d.\ \sqrt[3]{-3}\cdot \sqrt[3]{-5} }[/tex]

Step-by-step explanation:

[tex]a)\ \sqrt[3]{-5}\cdot \sqrt[3]{3} =\sqrt[3]{-15}\neq \sqrt[3]{15} \\\\b)\ \sqrt[3]{-15}\cdot \sqrt[3]{1} =\sqrt[3]{-15}\neq \sqrt[3]{15}\\\\c)\ \sqrt[3]{5}\cdot \sqrt[3]{3} =\sqrt[3]{-15}\neq \sqrt[3]{15}\\\\\large{d)\ \sqrt[3]{-3}\cdot \sqrt[3]{-5} =\sqrt[3]{15}= \sqrt[3]{15} }[/tex]

B is the correct answer.

Answer:1124

Step-by-step explanation:

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ 24+68+1032

First:

Add 24 and 68

24+68=92

Next add 92 to 1032

92+1032=1,124

Final answer:

1,124

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TROLLER

Answer:

The first one f(x)= 100 · (3/5)^x

Step-by-step ex

Answer:

 A.  f(x)=100 . (3/5)x  

Step-by-step explanation:

Answer:150

Step-by-step explanation:p

100

×

18

=

27

100

18

×

p

100

×

18

=

100

18

×

27

100

18

×

p

100

×

18

=

2700

18

p

=

2700

18

p

=

150

Final answer:

The question 'Do students at Bryan Middle School exercise?' is not a statistical question because it is a yes/no question that does not anticipate enough variability in responses. A statistical question would allow gathering of varied data which could be analyzed for patterns and insights.

Explanation:

Whether the question "Do students at Bryan Middle School exercise?" can be considered a statistical question depends on its potential to produce a variety of results that can be analyzed. Statistical questions anticipate variability in responses and usually involve a degree of uncertainty that can be measured and analyzed.

To evaluate the provided question, it does specify a population, which is the students at Bryan Middle School. However, the question, as it stands, is a yes/no question and does not necessarily anticipate enough variability in responses. A richer statistical question would allow us to collect data that varies among individuals and potentially reveals patterns, such as "How many hours per week do students at Bryan Middle School exercise?"

Therefore, the answer is 'No, it does not anticipate enough variability in responses.' It is essential in research methods and methodologies to ask questions that lead to data that can be used for meaningful analysis and inference.

3^(2x+4)=17

We move all terms to the left:

3^(2x+4)-(17)=0

We move all terms containing x to the left, all other terms to the right

3^(2x+4)=17

Answer:

93.75 cm²

Step-by-step explanation:

The linear ratio = 1 : 2.5

The area ratio = 1² : 2.5² = 1 : 6.25

surface area = 15 × 6.25 = 93.75 cm²

The answer is 93.75 cm squared.