04.01 mc y-2x=-1 and 2y-x=4 choose the correct graph of the given systems of equations

Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

Answer:

Possible lengths of \(XZ\) are \(21\,\,cm,22\,\,cm,23\,\,cm,24\,\,cm,25\,\,cm\)

Step-by-step explanation:

According to triangle inequality theorem,

length of one side is less than the sum of remaining two sides.

Also,

\(XY=11\,\,cm\\YZ=15\,\,cm\\XZ>20\,\,cm\)

Therefore,

\(20<XZ<15+11\\20<XZ<26\)

The length of \(XZ\) is in whole centimeters.

Therefore, possible lengths of \(XZ\) are \(21\,\,cm,22\,\,cm,23\,\,cm,24\,\,cm,25\,\,cm\)

Answer:

x = 67/5

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

5x + 7 = 91 - 17

Step 2: Solve for x

Answer:

D) $1.80

Step-by-step explanation:

$1.80 per pound. It cost $1.80 per pound.

Step-by-step explanation:

x^2-2x-3x+6=6x

x^2-5x+6=6x

x^2+6=6x+5x

x^2+6=13x

x^2-13x=6

x(x-13)=6

Answer:

3rd option, x^2-x-6/2x+3

The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]

Simplify the expression, then we have

⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]

⇒ [(x² - 3x - 10) (x² - 3²)] / [(2x² - 7x - 15) (x + 3)]

⇒ [(x² - 5x + 2x - 10) (x - 3)(x + 3)] / [(2x² - 10x + 3x - 15) (x + 3)]

⇒ [(x - 5)(x + 2)(x - 3)] / [(2x + 3)(x -  5)]

⇒ [(x + 2)(x - 3)] / (2x + 3)

⇒ (x² - x - 6) / (2x + 3)

The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.

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Answer:

Step-by-step explanation:

See image

If an employee has already measured out 59 pounds of wild rice. The  number of pounds of long grain brown rice should she add to make the blend is: 88.5 pounds of long grain.

Let x represent number of pounds of long grain

6.45×59+3.95x=(59+x)×4.95

380.55+3.95x =292.05+4.95x

380.55–x =292.05

-x=292.05-380.55

-x = -88.5

x = 88.5 pounds of long grain

OR

6.45×59+3.95x=(59+x)×4.95

x=(6.45-4.95)×59

x=1.5×59

x=88.5 pounds of long grain

Therefore If an employee has already measured out 59 pounds of wild rice. The  number of pounds of long grain brown rice should she add to make the blend is: 88.5 pounds of long grain.

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Hannah's debt-to-equity ratio when her liabilities was $30,000 (excluding her mortgage of $100,000 ) and her net worth is $45,000 is 0.75.

Debt-to-equity ratio is a financial ratio that measures the proportion of total liabilities to shareholders' equity. To calculate the debt-to-equity ratio for Hannah, we need to first calculate her total liabilities and shareholders' equity.

We are given that Hannah has liabilities of $30,000 excluding her mortgage of $100,000. Therefore, her total liabilities are $30,000 + $100,000 = $130,000.

We are also given that her net worth is $45,000. The net worth is calculated by subtracting the total liabilities from the total assets. Therefore, the shareholders' equity is $45,000 + $130,000 = $175,000.

Now we can calculate the debt-to-equity ratio by dividing the total liabilities by the shareholders' equity.

Debt-to-equity ratio = Total liabilities / Shareholders' equity = $130,000 / $175,000 = 0.74 (rounded to two decimal places)

Therefore, Hannah's debt-to-equity ratio is 0.74, which is closest to option 0.75.

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Answer:

NO.2- SSA is not the method to show the congruency of two triangles.

Answer:

>

Step-by-step explanation:

|-4| = 4

-|4| = -4 as the absolute value is applied first, then the number becomes negative because of the minus sine.

Answer:

9uv⁴

Step-by-step explanation:

9uv⁴(2v-3v+6)

Answer:

Factor out 9uv^4 from the expression

9uv^4(2uv - 3v + 6)

If you need more steps just ask :)

Answer:

21.25

Step-by-step explanation:

I just smart

(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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Answer:

Response bias would be something where answers would be skewed one way or another because of the way you asked. So maybe ask something embarrassing for someone to admit, like asking random students if they pick their nose. Some people will answer truthfully as no, and the people who do will likely also say no because they do not want to tell you that.

Answer:

hmmm did you try 14?

The first quartile of the given data set would be 15 which is The middle of the numbers from the beginning up.

When data points are organized in ascending order, the first quartile, or lower quartile, (Q1), is the value at which 25% of them are located.

The given data set is:

11,12,15,16,17,19,22,24,29,33,38

Since the number of elements in the data set is 11. As a result, the data are divided into two equal parts by the sixth term. The median of the data is 19.

The middle of the numbers from the beginning up to and including the first middle value: 11,12,15,16,17.

The middle value is 15.

Therefore, the first quartile of this data set would be 15.

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Answer:

x=(2,-5.3)

Step-by-step explanation:

Hope this helps

To find the center of the given equation, we need to rewrite it in the standard form of a circle equation, which is:

\(\sf\:(x - h)^2 + (y - k)^2 = r^2 \\\)

where (h, k) represents the center coordinates of the circle and r represents the radius.

Given equation:

\(\sf\: x^2 + y^2 + 16y + 40 = 8x + 4y \\\)

Rearranging the terms:

\(\sf\:x^2 - 8x + y^2 + 16y - 4y = -40 \\\)

Completing the square for the x-terms:

\(\sf\: (x^2 - 8x + 16) + y^2 + 12y - 4y = -40 + 16 \\\)

Completing the square for the y-terms:

\(\sf\: (x^2 - 8x + 16) + (y^2 + 12y + 36) = -40 + 16 + 36 \\\)

Simplifying:

\( \sf\:(x - 4)^2 + (y + 6)^2 = 12 \\\)

Comparing this with the standard form, we can see that the center of the circle is at (4, -6).

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♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer: center is 8,5

Step-by-step explanation: i dont have one

Answer:

gggggjwjwkekdbfjfnnf

Answer:

B is the correct answer

Step-by-step explanation:

Hope it helped have a great day

Answer:

1'044

Step-by-step explanation:

First you borrow one from the five from the zero and subtract six form the 10. Then you subtract normally.

Answer:  1,044

Step-by-step explanation: 1,550 - 506 = 1,044

Answer:

Check below:

Step-by-step explanation:

To factorize the algebraic expression 3x² + 6x + 4x + 8, you can follow these three steps:

Step 1: Grouping

Group the terms in pairs so that you can factor out a common factor from each pair.

3x² + 6x + 4x + 8

(3x² + 6x) + (4x + 8)

Step 2: Factoring out the common factors

Factor out the common factors from each pair separately.

3x(x + 2) + 4(x + 2)

Step 3: Factoring out the common factor from the resulting expression

Notice that we have a common factor, (x + 2), in both terms.

(x + 2)(3x + 4)

Therefore, the factored form of the expression 3x² + 6x + 4x + 8 is (x + 2)(3x + 4).

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Answer:

66

Step-by-step explanation:

Find the area of the rectangle, then add up the area of the triangle.

The area of the rectangle

= 5 × 12

= 60 cm²

The base of the triangle

= 12 - 9

= 3 cm

The height of the triangle

= 9 - 5

= 4 cm

The area of the triangle

= (3 × 4) ÷ 2

= 6 cm²

The total area of the figure

= 60 + 6

= 66 cm²

The readability of a double-pan torsion balance is typically very small, usually in the range of a few milligrams (mg). This is because the double-pan torsion balance is a highly sensitive instrument used to measure very small masses.

The readability of a double-pan torsion balance is determined by the sensitivity of the torsion spring which is used to measure the mass on the scale pans. The higher the sensitivity of the torsion spring, the higher the readability of the double-pan torsion balance. The readability of a double-pan torsion balance is typically in the range of 0.1 to 0.5 mg.

This allows the balance to measure very small increments with a high degree of accuracy and precision. The readability of a double-pan torsion balance is critical for accurate measurements of very small masses, such as in the pharmaceutical, chemical and food industries.

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Answer:

a and b

no the definitions have opposite results

Step-by-step explanation: