this multi answer so please put multi

all answers can be written multiple ways

7. 65/140, 13/28, or 46.43%

8. 18/140, 9/70, or 12.86%

9. 110/140, 11/14, or 78.57%

10. 95/140, 19/28, or 67.86%

x = 5 is not an extraneous solution of the equation.

[tex](2x)^{1/2} = (x+5)^{1/2}[/tex]

Taking square on both the side of the equation, we get

[tex]((2x)^{1/2})^{2}[/tex] = [tex]((x+5)^{1/2})^{2}[/tex]

2x = x + 5

Subtracting x on both the sides of the equations, we get

2x - x = 5

x = 5

Check for Extraneous Solution by putting x = 5 in the original equation, we get

[tex](2(5))^{1/2} = (5+5)^{1/2}[/tex]

[tex]10^{1/2}[/tex] = [tex]10^{1/2}[/tex]

⇒ LHS = RHS

∴ x = 5 is not an extraneous solution of the equation.

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The solutions for the system of equations: x₁ ≈ - 3.967, x₂ ≈ - 0.622. (Correct choice: B)

In this question we find a system formed by one nonlinear equation and one linear equation, which can be resolved by using a graphic approach. g(x) = f(x) represents the point of intersection of the two curves. First, we plot the graphs of the two curves and, second, the point of intersection is marked on the Cartesian plane.

According to the result given by the graphing tool, there are two solutions for the system of equations: x₁ ≈ - 3.967, x₂ ≈ - 0.622.

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Answer:

farther

Step-by-step explanation:

2 feet farther from the surface of ocean than elevation of -8feet

The answer of the following fraction which involves ABC is said to be  12:20:25

The transformation of a ratio into a fraction is known as the simple fraction form. In order to convey the relative size of two or more variables, the ratio is utilized. The fraction similarly identifies the components of the total. A:B or a/B are two ways to represent the ratio. As an illustration, the ratio is 12: 15.

Express the ratio in terms of a

a/b = 3/5 (cross-multiply)

3b = 5a (Divide the total both sides by 3)

b= 5/3 a

b/c = 4/5 (cross-multiply)

4c = 5b (divide the total both sides by 4)

c= 5/4 b=5/4×5/3 a=25/12a

then

a:b:c

=a:5/3 a:25/12 a (multiply each part by 12 to clear the fractions)

=12a:20a:25a (divide each part by a)

=12:20:25

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Answer:

Equation: [tex]14x + 2 = 15x - 3[/tex]

Solution: [tex]x = 5[/tex]

Step-by-step explanation:

The two lines are parallel, therefore, the two given angles are equal alternate exterior angles.

[tex]14x + 2 = 15x - 3 \text{ / Subtract 14x}\\14x + 2 - 14x = 15x - 3 - 14x\\\to 2 = x - 3 \text{ / Add 3}\\2 + 3 = x - 3 + 3\\\to 5 = x[/tex]

Answer:

The answer is -2

Step-by-step explanation:

8-4 = 4

4÷-2 = -2

The length of each piece of rope is 10m.

The first step is to determine the length of the rope before it was cut. In order to determine the length of the rope, multiply the length of the stick by the number of times the rope is as long as the stick.

Multiplication is the process that is used to determine the product of two or more numbers. The sign that is used to represent multiplication is x.

Length of the rope = length of the stick x 4

4 x 5 = 20m

lf the length of the rope is divided into two prices, divide the length of the rope by 2. Division is the mathematical operation that is used to determine the quotient of two or more numbers. It entails grouping a number into equal groups using another number.

Length of each piece = Length of the rope / 2

20m / 2 = 10m

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Answer:

C. q= -9

Step-by-step explanation:

4=q+13

-13    -13     (4-13= -9)

q=-9

hope this helps :)

The solution of the given equation 4=q+13 is -9. Thus option C is correct.

The equation is defined as an expression consisting of an equality sign.

let us consider an example  :

[tex]2x - 5 = 13.[/tex]

The given equation is:

[tex]4 = q + 13 \rightarrow 1[/tex]

For part A when q = 4 (given)

on substituting the value in equation 1 we get,

On transposing 13 to opposite side we get,

[tex]4 -13 = q[/tex]

[tex]-9 = q[/tex]

rewrite the equation as,

[tex]q =9[/tex]

The solution of the given equation [tex]4=q+13[/tex] is -9.

Thus option C is correct.

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The employee yearly contribution to the

U.S. Medicare tax on a salary of 40,000 $/year is $580.

Medicare is a federal employment tax that helps pay the Medicare insurance program.

The Medicare duty, occasionally known as the" sanitarium insurance duty," is a civil employment duty that contributes to the Medicare insurance program. Medicare duty, like Social Security duty, is taken from an hand's payment or paid as a tone- employment duty.

 Part A of the Medicare program, which covers sanitarium insurance for grown-ups 65 and aged, as well as persons with certain impairments or medical conditions, is funded by the Medicare duty. Medicare sanitarium insurance includes hospitalization, lodge care, nursing home care, and certain home healthcare.

Anyone working in the United States is obliged to pay Medicare levies.

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2 133/640 or 2.2078125

Answer:

Step-by-step explanation:

yyyyyyyyyyyyyyyyyyyyyyyyyyyy

The length of the rectangle is 12feet and the width is 26feet.

The formula for calculating the perimeter of a rectangle is expressed according to the equation below:

Perimeter = 2(length + width)

If the width is 3 times the next consecutive integer, then;

w = 3(x+1)

l = x

Substitute

102 = 2(x + 3x + 3)

102 = 2(4x + 3)

102/2 = 4x+ 3

51 = 4x + 3

4x = 48

x = 12 = length

For the width

width = 2(x+1)

width = 2(12+1)

width - 26 feet

Hence the length and the width of the rectangle are 12 feet and 26 feet respectively

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The coordinates of triangle ABC after a dilation centered at the origin with a scale factor of 2 are ( - 10 , - 14 ) , ( 12 , - 6 ) , ( 4 , 14 ) .

Let

OA vector = ( - 5 , - 7 )

OA' = 2 ( -5 , - 7 )

A' = ( - 10 , - 14 )

OB vector = ( 6 , - 3 )

OB' vector = 2 ( 6 , - 3 )

B' = ( 12 , - 6 )

OC vector = ( 2 , 7 )

OC' vector = 2 ( 2 , 7 )

c' = ( 4 , 14 )

Hence , the coordinates of triangle ABC after a dilation centered at the origin with a scale factor of 2 are ( - 10 , - 14 ) , ( 12 , - 6 ) , ( 4 , 14 ) .

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Answer:

81 100 121 144 169 196 225 256

17 19 21 23 25 27 29 31

Step-by-step explanation:

the formula is to square the number then subtract the preceding number in the box

The value of the given expression using PEDMAS is 0

The meaning of PEDMAS is expressed as shown below;

P is parenthesis

E is exponent

D is division

M is multiplication

A is addition

S is subtraction

Given the expression below;

1/6(6+18)-2²

Solve the parenthesis

1/6(6+18)-2²

1/6(24)-2²

Then exponent

1/6(24) - 4

Multiplication

(1/6*24) - 4

4 - 4

Then subtract to have:

4 -  4 = 0

Hence the value of the given expression using PEDMAS is 0

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If Brad has $272 now and lent his friend Jorge $10, his monthly allowance is $47.00

What is the total monthly allowance over 6 months?

Brad total monthly allowance over 6 months is the sum of the amount lent to Jorge and the balance Brad has currently which is $272

total allowances for 6 months=$272+$10

total allowances for 6 months=$282

monthly allowance=total allowances for 6 months/6 months

monthly allowance=$282/6

monthly allowance=$47.00

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Room DimensionsLiving Room:·Room: 12 feet x 19 feet·Wall Height: 8 feet 4 walls painted

Step-by-step explanation:

The solution of the given equation by rounding off it to the nearest ten-thousandth is 20716.0000.

What is a round-off of the digit?

In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.

For eg: 13.58 ~ 13.6

Solving the given equation: 12⁴ - x = 20

We are given that 12⁴ - x = 20            —- 1

We know that 12⁴ = 20736

So, equation 1 becomes,

20736 - x = 20

x = 20736 - 20

= 20716

Hence, the solution of the given equation to the nearest ten-thousandth is 20716.0000.

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Answer:

Its A

Step-by-step explanation:

I will answer so you can give the other person brainliest :)

Sarah have $495 in her account at the end of the month.

Given,

The amount Sarah had in her bank account at the beginning of the month = $600

The deposits she made within the month = $40 and $25

The withdrawals she made = $100, $50 , $20

We have to find the balance amount in Sarah's account after all these transactions made:

The deposits Sarah had = 600 + 40 + 25 = 665

Sarah had $665 in her account in a month.

Withdrawals made by Sarah = 100 + 50 + 20 = 170

Sarah made a total withdrawal of $170 in the month.

Now, we have to find the account balance of Sarah:

Account balance = Total deposits - Total withdrawals

Account balance = 665 - 170 = 495

That is, Sarah have $495 in her account at the end of the month.

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Hello,

[tex]1) \: - 24[/tex]

[tex] 2) \frac{ - 24}{2} = - 12[/tex]

[tex] 3)\frac{ - 12}{2} = - 6[/tex]

[tex]4) \frac{ - 6}{2} = - 3[/tex]

[tex]5) \frac{ - 3}{2} = - 1.5[/tex]

Answer → -1,5

Check the picture below.

well, according to the line vertical test, if a vertical line anywhere on the graph hits the graph only once, then yeap, it's a function.

Answer:

Answer: 1/7 as a decimal is 0.143

Step-by-step explanation:

Let us understand the division method to write 1/7 as a decimal. Explanation: To convert any fraction to its decimal form, we just need to divide the numerator by the denominator. Irrespective of the methods used, the answer to 1/7 as a decimal will always remain the same

The midpoint of (3,5) and (6,0) is (9/2, 5/2)

The points are given as

(3,5) and (6,0)

The midpoint of the points is calculated using

Midpoint = 1/2 * (x1 + x2, y1 + y2)

So, we have

Midpoint = 1/2 * (3 + 6, 5 + 0)

Evaluate the sum

So, we have

Midpoint = 1/2 * (9, 5)

Evaluate the product

So, we have

Midpoint = (9/2, 5/2)

Hence, the midpoint of (3,5) and (6,0) is (9/2, 5/2)

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Based on the information, it should be noted that there be 67 adults and 733 students in the auditorium.

Let adults tickets = a

Let students tickets = s

The auditorium at McCaskey East High School in Lancaster, PA has 800 seats. This will be:

a + s = 800 ..... i

Therefore, suppose that the drama club has a goal of making $3400. This will be:

7a + 4s = 3400 ..... ii

From equation i, a = 800 - s.

7a + 4s = 3400

7(800 - s) + 4s = 3400

5600 - 7s + 4s = 3400

Collect like terms

-7s + 4s = 3400 - 5600

3s = -2200

s = 2200 / 3

s = 733

a = 800 - 733 = 67

Therefore, there'll be 67 adults and 733 students.

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The image of point D after the transformation of the point A is

(6,3)

The complete question is added as an attachment

From the question, we have the coordinate of point A to be

A = (-4, 3)

The sequence of transformations is given as:

The rules of the above transformations are

reflection across the y-axis

(x, y)= (-x, y)

So, we have

A' = (4, 3)

translation two units to the right

(x, y)= (x + 2 , y)

So, we have

A'' = (6, 3)

This means that

D = (6,3)

Hence, the image of point D after the transformation of the point A is

(6,3)

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