Find an equation for the given line in the form ax+by=c, where a,b, and c are integers with no factor common to all three and a≥0. Through (−8,20); parallel to 5x+2y=17

Jorge, Martin, and Andres bought a big piece of cheese in an offer, and they divided it equally.

Jorge gave his sister half of the cheese he got, so what part of the whole cheese did Jorge's sister receive?

To begin with, let us find out how many people shared the big piece of cheese. Three people divided the cheese into equal parts.Then they shared it. We are not sure how much cheese there was in the first place,

so let us call the total amount of cheese T.Since it was divided equally among three people, each person got T/3 cheese.Then Jorge gave his sister half of the cheese he got.So, his sister received 1/2 of T/6 or T/12 cheese.

Therefore, the sister of Jorge received T/12 of the entire cheese.

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Answer:

\((6x + 5) + (8y + 9x) + ( - 3 - 3y)(6x + 5) + (8y + 9x) -( 3 - 3y) \\ =6x + 5 + 8y + 9x - 18x - 15 - 18xy - 15y + 8y + 9x - 3 - 3y \\ =6x - 2y - 18xy - 13\)

Answer:

1. C

2. B

3. A

4. C

5. No, SACK is a square because they have 4 side with the same length.

please give me brainliest

Answer:

1) c. 12 cm

2) b. 10 cm

3) a. SC

4) c. AC

5) Yes

Step-by-step explanation:

Given : □SACK is a square with diaognals \(\overline{AK}\) and \(\overline{AK}\).

1. If AK = 12cm, how long is SC?

The length of SC is 12cm because it is perpendicular to AK.

\(\begin{gathered}\end{gathered}\)

2. If AT = 5cm, how long is AK?

Here, AT is parallel to TK. So, the length of AK will be (5+5=10) 10 cm.

\(\begin{gathered}\end{gathered}\)

3. AK is perpendicular to ____?

\(\begin{gathered}\end{gathered}\)

4. SK is parallel to ____?

\(\begin{gathered}\end{gathered}\)

5. Is □SACK a rectangle? Justify your answer.

Because we know that the all square are rectangle. So, we can say that the SACK is a rectangle.

\(\rule{300}{2.5}\)

hi;augh4 vhaugawhfdb

Step-by-step explanation:

Answer:

solution

Step-by-step explanation:

so the solution is this first multiply the numbers with out the decimal point and then count and add the decimal point.

Answer:

\(h=13\,\sqrt{3}\)

\(x=52\)

Step-by-step explanation:

Using the triangle formed in the far left, we can use the Pythagorean theorem to solve for h:

\(h^2+a^2=y^2\\h^2+39^2=(26\,\sqrt{3} )^2\\h^2=26^2\,(3)-39^2\\h^2=507\\h=\sqrt{507}\\h=13\,\sqrt{3}\)

Now, using the right angle triangle on the right we solve for x:

\((x-a)^2+h^2=z^2\\(x-39)^2+507=26^2\\(x-39)^2=676-507\\(x-39)^2=169\\x-39=+/-13\\x=26\,\,\,or\,\,\,x=52\)

since x has to be larger than "a" (39), we use the second answer:

\(x=52\)

Answer:

the scale factor and the ratio of their perimeters is 8/9

Step-by-step explanation:

k^2=area 1/area 2

k^2=64/81

=square root if k^2=square root of 64/81

=k=8/9

The probability that a randomly chosen young adult has at least a high school education can be found using the rule of probability called the "complement rule".

To find the answer, we need to subtract the probability that a randomly chosen young adult does not have at least a high school education from 1. In other words:

Probability of having at least a high school education = 1 - Probability of not having at least a high school education.

By using this rule, we can calculate the probability.

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If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.

Given that a number plate can be formed using 2 alphabets which must come in increasing order.

We are required to find the number of plates that can be formed.

Number of total alphabets=26.

The number of plates will be equal to the number of ways in which two alphabets can be arranged.

Combination is the number of ways in which some combinations can be formed. It is expressed as n\(C_{r}\)=n!/r!(n-r)!

Number of license plates=26\(C_{1}\)*25\(C_{1}\)

=26*25

=650 plates

Hence If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.

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Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

The triangle, square, and trapezoid are the following:

The percentage decrease of the function y = -6 is 0%.

The function y = -6 represents a horizontal line with a constant value of -6. Since there is no change in the y-value as x varies, the percentage increase or decrease is 0%.

To calculate the percentage increase or decrease, we use the formula:

Percentage Change = (New Value - Old Value) / Old Value * 100

In this case, the old value and the new value are both -6. Plugging in the values into the formula, we get:

Percentage Change = (-6 - (-6)) / (-6) * 100

= 0 / (-6) * 100

= 0 * 100

= 0%

Therefore, the percentage increase or decrease of the function y = -6 is 0%. This indicates that the function remains constant and does not experience any change in its value as x varies.

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Answer:

\(\sqrt{100^2 + 420^2}\)

\(\sqrt{100^2+420^2}=20\sqrt{466}\quad \left(\mathrm{Decimal:\quad }\:431.74066\dots \right)\)

Step-by-step explanation:

x = 19

Triangle DFG is a right angled triangle

Triangle DEF is also a right angled triangle

Since DF bisects EDG:

< EDF =

Sin θ = Opposite / Hypotenuse

Sin 16 = (9x + 114) / DF.........(1)

Sin 16 = 15x / DF............(2)

Equating equations (1) and (2)

9x + 114 = 15x

15x - 9x = 114

6x = 114

x = 114/ 6

x = 19

The 6 criteria are Internal consistency, Contextual consistency, Intelligibility, Mathematical plausibility, Historical plausibility and Replicability.

According to Eleanor Robson's interpretation of Plimpton 322, she lists six criteria for interpreting ancient mathematical texts. These six criteria are as follows:
1. Internal consistency: The mathematical text should be internally consistent and coherent in its logic.
2. Contextual consistency: The mathematical text should be consistent with the historical and cultural context in which it was written.
3. Intelligibility: The mathematical text should be understandable and intelligible to the intended audience.
4. Mathematical plausibility: The mathematical content of the text should be mathematically plausible and in line with known mathematical principles.
5. Historical plausibility: The mathematical text should be historically plausible and fit within the known historical context.
6. Replicability: The mathematical text should be replicable, meaning that other mathematicians should be able to reproduce the calculations and results presented in the text.

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In a 4x3x2x2 factorial experiment, you have 4 independent variables and potentially 4 main effect hypotheses.

The 4 independent variables are represented by the four numbers in the experimental design

(i.e., 4 levels of variable A, 3 levels of variable B, 2 levels of variable C, and 2 levels of variable D).

The potentially 4 main effect hypotheses are one for each independent variable, which states that there is a significant effect of that independent variable on the outcome variable.

A factorial experiment includes multiple factors simultaneously, each consisting of two or more

levels. Many factors simultaneously influence what is studied in a factorial experiment, and

experimenters consider the main effects and interactions between factors.

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Answer: 2nd one down

Step-by-step explanation:

Answer:

let the number is x

-2(x-14) = -42

-2x + 28 =-42

-2x = -70

x= 35

Step-by-step explanation:

Answer:

idek not gonna lie

Step-by-step explanation:

Answer:

The first one is A) 4 The second on is D) 65

Step-by-step explanation:

You divide the first number by the second number eg. 12 divided by 3=4. so 4.

You repeat the process for the second one, which is 32.5 divided by 5=6.5 so then you multiply that times 100 so 65.

Answer:

25

Step-by-step explanation:

Segment XY = 10

Segment XZ = 15

Since the lenght of segment WX is said to be congruent to the lenght of segment XY, therefore:

WX = XY = 10

Segment WX + Segment XZ = Segment WZ (segment addition postulate)

\( 10 + 15 = WZ \) (substitution)

\( 25 = WZ \)

\( WZ = 25 \)

Length of segment WX = 25

Answer: C

Step-by-step explanation: An "undo" function is called an inverse and has the notation h¹(a). Note that the -1 is not a negative exponent. It is the

mathematical symbol that indicates the inverse function of h(x). Write an equation for h ¹(x), the "undo" function machine.

Answer:

10 inches

Step-by-step explanation:

The rule for a 45-45-90 triangle is if the two legs equal x then the hypotenuse is x√2.

So if the hypotenuse is 10√2 then the length of the leg d is 10

We are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of mu.

The correct interpretation of a 99% confidence interval is that we are 99% confident that the true population mean falls in it.

The probability that it contains the true population mean is 99%.

Given  99% confidence interval : 4.1 < μ < 5.6

Then, the correct interpretation is we are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of mu.

Hence the answer is We are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of mu.

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The truth value of the conditional statement is false, and the counterexample of this statement is corresponding angles

The conditional statement is given as:

If two angles are congruent, then they are vertical angles.

The above statement is false because not all congruent angles are vertical angles

A counterexample of this statement is a corresponding angle

i.e. corresponding angles are congruent angles, but they are not vertical angles

Hence, the truth value of the conditional statement is false, and the counterexample of this statement is a corresponding angle

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Solve for the unit price of 11.5-ounce package.

Divide the cost by the number of ounce of the package.

$4.24 ÷ 11.5 oz = $0.3690 per ounce

Rounding off to the nearest cent → $0.37 per ounce.

Solve for the unit price of 27.8-ounce package

Do the same as above with its corresponding cost.

$9.98 ÷ 27.8 oz = 0.359 per ounce

Rounding off to the nearest cent → $0.36 per ounce.

Comparing the two, the 27.8-ounce package is much cheaper per ounce than with the 11.5-ounce package, thus the 27.8-ounce package is a better buy.

Answer:

11

Step-by-step explanation:

7 + z / 6 = ?

7 + 24 / 6

24 / 6 = 4

7 + 4 = 11

Answer:

11

Step-by-step explanation:

The first thing you're going to do is replace z with 24 and divide it by 6, which equals 4. Then you're going to add 7, which gets you to the answer 11.

A higher R2 value and a lower standard error (s) indicate a stronger relationship between the dependent variable and the independent variable.

The stronger the relationship between the dependent variable and the independent variable, the higher the R2 value and the lower the standard error (s). The R2 value represents the proportion of the variance in the dependent variable that can be explained by the independent variable. It ranges from 0 to 1, with 1 indicating a perfect relationship. On the other hand, the standard error (s) measures the average distance between the observed values and the predicted values. A lower standard error indicates a smaller spread of the around the regression line and a stronger relationship between the variables. So, in summary, a higher R2 value and a lower standard error (s) indicate a stronger relationship between the dependent variable and the independent variable.

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Answer:

7:25

Step-by-step explanation:

Overall it took her 130 minutes while she was out so if you put that in time measurement it would be 7:25.