1/8 = x/163 round to the nearest hundredth

The solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2

To find the y-value of the solution to the system of equations, we can solve the system using any suitable method such as substitution or elimination.

Given system of equations:

3x + 5y = 1

7x + 4y = -13

Let's use the method of elimination to solve the system:

Multiply equation 1 by 4 and equation 2 by 5 to make the coefficients of y in both equations equal:

4(3x + 5y) = 4(1) --> 12x + 20y = 4

5(7x + 4y) = 5(-13) --> 35x + 20y = -65

Now, subtract equation 1 from equation 2 to eliminate the y term:

(35x + 20y) - (12x + 20y) = -65 - 4

35x - 12x = -69

23x = -69

x = -69/23

x = -3

Substitute the value of x into equation 1 to find y:

3(-3) + 5y = 1

-9 + 5y = 1

5y = 1 + 9

5y = 10

y = 10/5

y = 2

Therefore, the solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2.

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Answer: 1/27 is greater than 1 7/20 I believe.

sine and cosecant.

you can see the graph or on unit circle, as the for these ratios, (which depend on y coordinate) 1st and 2nd quadrant have positive y coordinate

Answer:

  414.7 cm³

Step-by-step explanation:

You want the volume of a cone with radius 6 cm and height 11 cm.

The volume of the cone is given by the formula ...

  V = 1/3πr²h

Using the given dimensions, we find the volume to be ...

  V = 1/3π(6 cm)²(11 cm) = 132π cm³ ≈ 414.7 cm³

The volume of the cone is about 414.7 cm³.

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Answer:

A.

Step-by-step explanation:

y⁵ ÷ y⁹

= y⁵-⁹

= y-⁴ [ 3rd answer ]

Answer:

In the given diagram, line t is a transversal that intersects parallel lines r and s, and angle 8 is formed by the intersection of line t and parallel line s. Corresponding angles are formed when a transversal intersects two parallel lines, and they are located in corresponding (i.e., identical) positions relative to the two parallel lines.

Therefore, the corresponding angle to angle 8 would be angle 2, which is located in the same relative position as angle 8 with respect to parallel lines r and s, and transversal line t.

Answer:

There are 240 students in the school

Step-by-step explanation:

Givens

55% of the total number of students in a school are girls.

Equation

55/100 * x = 132

Solution

Multiply both sides of the equation  by 100

55/100x * 100  = 132 * 100

55x = 13200                          Divide by 55

55x/55  = 13200/55

x = 240

The result of 8 divided by 2400 is approximately 0.0033. This means that if we have 2400 equal parts, each part will have a value of 0.0033. Alternatively, we can also say that 8 is 0.0033 times the value of 2400.

The division of 8 by 2400 can be written as:

8 ÷ 2400

To perform this division, we can use long division method or a calculator. Using a calculator, we get:

8 ÷ 2400 = 0.00333333...

Rounding this result to four decimal places, we get:

8 ÷ 2400 ≈ 0.0033

Therefore, the result of 8 divided by 2400 is approximately 0.0033. This means that if we have 2400 equal parts, each part will have a value of 0.0033. Alternatively, we can also say that 8 is 0.0033 times the value of 2400.

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The number of possible king-queen pairs can be determined by multiplying the number of candidates for king by the number of candidates for queen.

To calculate the number of king-queen pairs, we multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king. Therefore, the total number of king-queen pairs would be 4 multiplied by 3, which equals 12.

Each candidate for king can be paired with each candidate for queen, resulting in multiple possible combinations. By multiplying the number of candidates for each position, we account for all possible pairings. In this scenario, there are three potential kings and four potential queens. For each king, there are four possible queens he can be paired with. Since there are three kings, we multiply 3 by 4 to get the total number of 12 king-queen pairs.

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The y intercept is where a line on a graph crosses the y axis when the x coordinate is 0.

Answer:

The point where the line is on the Y axis

Step-by-step explanation:

for example in the equation y=mx+b, b would be the y-intercept or in the equation y=4x+7, the y-intercept would be 7.

(a) Parameter being estimated in the given information is the difference between two proportions (p_1 - p_2).

(b) A 95% confidence interval is given by  (0.075, 0.225)

(a) The parameter being estimated is the difference between two population proportions, which is denoted by (p_1 - p_2).

(b) The margin of error for a 95% confidence interval is 5%, which means that the critical value of z is 1.96 (obtained from a standard normal distribution table). Using the formula for the margin of error, we can write:

1.96 * √(p_1_hat*(1-p_1_hat)/n_1 + p_2_hat*(1-p_2_hat)/n_2) = 0.05

where p_1_hat and p_2_hat are the sample proportions from the two samples, and n1 and n2 are the sample sizes.

Solving for p_1_hat - p_2_hat, we get:

p1_hat - p2_hat = ±0.075

Since we are interested in a 95% confidence interval, we can subtract and add this value from P1 - P2 to obtain the interval:

P_1 - P_2 ± 0.075

Substituting the given value of P_1 - P_2 = 0.15, we get:

95% Confidence Interval: (0.075, 0.225)

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Answer:

Step-by-step explanation:

Corresponding angles are equal

Answer:

false the |-| mean the absolute value thus it would = the same

Answer: False

Step-by-step explanation:

This is absolute value. The absolute value of -3 is 3 because lets say you have a number line, how far is -3 to 0 ? Its 3 . Your answer would be that its equal.

Answer:

3.5 pounds

Step-by-step explanation:

7/8 / 1/4 =7/8*4=7/2=3.5

The required plant grew 9 centimeters in the sixth week.

Let x be the number of centimeters the plant grew in the sixth week.
To estimate x, we can use the formula for the mean (average) of a set of numbers:

mean = (sum of numbers) / (number of numbers)

We know the mean for 6 weeks is 9, so we can write:

9 = (13 + 6 + 10 + 5 + 11 + x) / 6

Multiplying both sides by 6, we get:

54 = 45 + x

Subtracting 45 from both sides, we get:

x = 9

Therefore, the plant grew 9 centimeters in the sixth week.

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Answer:

The answer to your problem is, B 150 \(in^{3}\)

Step-by-step explanation:

D = 13 inches

R = \(\frac{13}{2}\) inches

Volume:

= \(\frac{9}{3}^{r3}\)

= \(\frac{4}{3} * \frac{22}{7} * ( \frac{13}{2} )^{3}\)

4 x 3 x 14 x 274 x 625

= 1199.76 \(in^{3}\)

= 1550 \(in^{3}\)

Thus the answer to your problem is, 1150 \(in^{3}\)

The accumulation points of the given function are -1 and 1, with upper and lower accumulation points being 1 and -1 respectively.

To find the accumulation points of a function, we need to determine the values towards which the function approaches as the input approaches certain values. In this case, we have the function 11.9. Since it is a constant function, it takes the value 11.9 for all inputs.

Thus, there are no accumulation points other than the constant value itself, which is -1. However, when considering upper and lower accumulation points, we need to include the endpoints of the interval.

As the function is constant, the upper accumulation point is the maximum value of the function, which is 11.9, and the lower accumulation point is the minimum value, which is also 11.9. Hence, the accumulation points are -1 and 1, with upper and lower accumulation points being 1 and -1 respectively.

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Emma is currently 21 years old.

Let's denote Emma's age as E and Claire's age as C. We are given the following information:

The age of a person can be counted differently in different cultures. This calculator is based on the most common age system. In this system, age increases on a person's birthday. For example, the age of a person who has lived for 3 years and 11 months is 3, and their age will increase to 4 on their next birthday one month later. Most western countries use this age system.

1. When Emma was born, Claire was E years old.
2. Currently, Claire is 42 years old (C = 42).

Since Emma is currently the same age as Claire was when Emma was born, we can say E = C - E.

Now let's solve for E:

E = 42 - E
2E = 42
E = 21

So, Emma is currently 21 years old.

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Answer:

188.4 cm²

Step-by-step explanation:

Surface area of rectangles :-

Surface area of triangles :-

Surface area of middle rectangle :-

Total Area :-

Answer:

Solution given:

Total surface area of triangular prism=

area of two triangle +2*area of rectangle+area of base

=2*½*4*4.6+2*15*5+15*4

=228.4cm²

The area of triangular prism=228.4cm²

The simplified form of the trigonometric expression csc2(x) − 1 csc2(x) is: cos2(x)/sin2(x)

The simplification of the trigonometric expression csc2(x) − 1 csc2(x) requires a bit of algebraic manipulation.

We can start by using the identity csc2(x) = 1/sin2(x) to rewrite the expression as:
1/sin2(x) − 1 / (sin2(x) * csc2(x))

Next, we can simplify the denominator of the second term using the identity csc2(x) = 1/sin2(x), giving us:
1/sin2(x) − 1 / (sin2(x) * (1/sin2(x)))

Simplifying further, we get:
1/sin2(x) − 1/sin2(x)

Finally, we can combine the two terms with a common denominator to get:
(1 - sin2(x))/sin2(x)

This expression can be further simplified using the identity sin2(x) + cos2(x) = 1, which gives us:
cos2(x)/sin2(x)

Therefore, the simplified form of the trigonometric expression csc2(x) − 1 csc2(x) is: cos2(x)/sin2(x)

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Step-by-step explanation:

hope this will help you!!!.. plz follow me!!

Answer:

x = 26

Step-by-step explanation:

Answer:

What is the name of the triangle

Ans) triangle with all sides equal is called equilateral, a triangle with two sides equal is called isosceles, and a triangle with all sides a different length is called scalene. A triangle can be simultaneously right and isosceles, in which case it is known as an isosceles right triangle

Step-by-step explanation:

There shall be a picture so that you say its name

Hope it helps

Answer:

answer is C. isosceles

because of the two equal sides so it cant be equilateral and it can be right angle because it doesn't have a perpendicular bisector

Step-by-step explanation:

Length = 7 + 2x [L]

Breadth = 6 + x [B]

So, Area = L × B

=> Area = (7 + 2x) (6 + x)

=> Area = 7 × 6 + 7x + 2x × 6 + 2x²

=> Area = 42 + 7x + 12x + 2x²

=> Area = 2x² + 19x + 42

Option B is correct.

Any questions, you may ask.

Answer: b.) 2x² + 19x + 42

Area of rectangle:

⇒ Length × Width

⇒ (6 + x) × (7 + 2x)

⇒ 6(7) + 6(2x) + x(7) + x(2x)

simplify

⇒ 42 + 12x + 7x + 2x²

arrange

⇒ 2x² + 19x + 42

Answer: 16.8 miles

Step-by-step explanation:

Multiply 2.8 miles by 6 to find the number of miles jogged after 6 days.

Answer:

16.8 miles!

Step-by-step explanation:

The largest possible volume of this box is 1687.5 cm³ with a base edge of 15 cm and a height of 7.5 cm

Let w = length of the base edge

h = height of the box

A box with a square bottom and an open top is to be made from 675 cm² of material. Hence,

675 cm² = w² + 4wh

4wh = 675 cm² - w²

h = (675 cm² - w²)/4w

The volume of the box is the product of the area of the square base and its height. Hence,

V = w²h

Substitute the expression of h to the equation of volume.

V = w²(675 cm² - w²)/4w

V = (675/4)w - (1/4)w³

To obtain the largest volume possible, the first derivative of the volume should be equal to zero.

V'(w) = 0

V = (675/4)w - (1/4)w³

675/4 - (3/4)w² = 0

Simplify and solve for the value of w.

675/4 - (3/4)w² = 0

(3/4)w² = 675/4

w² = 225

w = 15

length of the base edge = 15 cm

Solve for the value of h.

h = (675 cm² - w²)/4w

h = (675 cm² - (15)²)/4(15)

h = 7.5 cm

height of the box = 7.5 cm

Solve for the volume of the box.

V = w²h

V = (15 cm)²(7.5 cm)

V = 1687.5 cm³

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Answer:

x=10

Step-by-step explanation:

Answer:

should be 12

Step-by-step explanation:

because parallel lines usually are the same size unless specified in the question so u can say "12 because BC and AD are parallel lines"

Answer:

D is right answer