The sum of eight times a number and negative exceeds twelve.
​

Given: The triangle GHJ is bisected by the line HK

The sides are bisected equally

We can observe that

KG=KJ = 3.6

HJ=HG=4.6

Hence GH =4.6

Answer:

278

Step-by-step explanation:

AOP x 1002 = AOP556

AOP = AOP556 / 1002

= 556 ÷ 2

= 278

\(\\ \sf\longmapsto 1002AOP=556AOP\)

\(\\ \sf\longmapsto AOP=\dfrac{1002}{556}\)

\(\\ \sf\longmapsto AOP=\dfrac{556}{2}\)

\(\\ \sf\longmapsto AOP=278\)

Answer: Radius is always half of the diameter so the answer is 5

Step-by-step explanation:

Answer:

5.

Step-by-step explanation:

15.90 / 3.18 =

Answer:

They are dependent because we have to select from people who are given cards.

Step By Step Explanation:

So we'll take away people not given cards first den find the probability of selecting people with cards over the total number of people present .

Probability we'll be equal to = number of people with card(C) two persons/total number of people

Where C represent combination

Answer:

3:7

Step-by-step explanation:

Let x = pounds of the $10 rice in the mixture

Let y = pounds of the $30 rice in the mixture

Total cost of the $10 rice = 10x

Total cost of the $30 rice = 30y

(10x + 30y) / (x + y) = 24

Solve this equation for y/x:

10x + 30y = 24(x + y)

10x + 30y = 24x + 24y

30y - 24y = 24x - 10x

6y = 14x

y/x = 6/14  simplify the fraction

y/x = 3/7

So, the ratio of the two different types of rice (y:x) is 3:7, meaning a pound of the rice mixture has 3 parts of the $30 rice to 7 parts of the $10 rice.

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer:

\(x = 2.5\)

Step-by-step explanation:

Given

The attached figure

Required

Find x

To solve for x, we make use of the following equivalent ratio

\(x :3.5 = 5 : 7\)

Express as fractions

\(\frac{x}{3.5} = \frac{5}{7}\)

Make x the subject

\(x= \frac{5}{7}*3.5\)

\(x= \frac{5}{2}*1\\\)

\(x = 2.5\)

The system of equations:

This comes from the fact that if we multiply the first equation by 3 then we have:

But this clearly contradicts the second one. Then the system has no solutions.

a.

To find a system with one solution we only have to change one of the coefficients of the equation. If we change the first x coefficient from 1 to 2. then we have the system:

which has one solution.

b.

To find a system with an infinite number of solutions we can change the constant of the second equation to 12, then:

then if we multiply the first by 3 then we have the second one, therefore the equations are the same and the system will have and infinite number os solutions.

Answer:

3 separate games

Step-by-step explanation:

If EACH of the 12 teams needs to play each other 4 times in the season you would need to divide 12 ÷ 4 = 3

They need to play 3 games each season.

Hope this helps and have a great day!

The inequality y≤ 1/2 x -4 which is shown by red shaded region gives the solution (0, -4) and (8, 0).

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

We have the Inequality y≤ 1/2 x -4.

Now, we plot the inequality on the Graph as shown by the red region.

As, the inequality intersect the axis at (0, -4) and (8, 0).

Thus, the solution is (0, -4) and (8, 0).

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The terminal points when the value of r is 1 will be 0.5 and 0.86 and the value of tan 60 will be 1.732.

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Given;

Ø = 60°

Let's assume the value of r = 1 units

The terminal points are;

x= rcosΘ

x=1 × cos 60°

x=0.5

y=rsinΘ

y=rsin60°

y = 0.86

The terminal points when the value of r is 1 will be 0.5 and 0.86.

The value of the tan for the given value of the angle;

Tan 60° = 1.732

Hence, the terminal points when the value of r is 1 will be 0.5 and 0.86 and the value of tan 60 will be 1.732.

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Answer:

you would have 100 million bills (100,000,000)

Step-by-step explanation:

1,000,000,000 / 10

= 100,000,000

Answer:

100 million

Step-by-step explanation:

100,000,000

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

The first one is 1/2, 0.5, and 50%

The second one is 1/4, 0.25, and 25%

Step-by-step explanation:

Answer:

You cant use the distributive property because it is when the equation is like this: ax(b+c) so if it was 11x(5+0) you would multiply the 5 by 11 by itself and multiply 0 with 11 then you add them and get 55. I hope that helps :)

Step-by-step explanation:

Answer:

y = -3x - 1

Step-by-step explanation:

it is the only line that passes through the point (-1, -4)

Answer:

28.07°

Step-by-step explanation:

use SohCahToa

in this case we use tan^-1 to get the angle x°

tan^-1(8/15)=28.07248694

to the nearest hundredth

=28.07°

Answer:

I think it is 50

Step-by-step explanation:

(a) 291/2020

Divide the total for the 10-14 year column by the total.

(b) 77/465

There are 465 people from the east, 77 of which were loyal for 10 to 14 years

(c) 437/1010

There are 291+583=874 people who were loyal for at least 10 years. Divide this by the total of 2020 people.

(d) 145/376

376 people are from the West, (45+100)=145 of which are at least 10.

(e) 32/157

157 people were loyal for less than a year, 32 of which were from the East.

(f) 53/157

157 people were loyal for less than a year, 53 of which were from the South.

(g) 433/465

465-32=433 people were loyal for at least 1 year out of the 465 people from the East.

(h) 335/376

376-41=355 people were loyal for at least 1 year out of the 376 people from the West.

Answer:

n = 1/8

Step-by-step explanation:

2n-1/4=0

Add 1/4 to each side

2n-1/4+1/4=1/4

2n = 1/4

Divide each side by 2

2n/2 = 1/4 * 1/2

n = 1/8

Answer:

D

Step-by-step explanation:

f(x)=-3x-1

Answer:

Step-by-step explanation:

Answer:

20.58 (21)

Step-by-step explanation:

5127/250 = 20.58

if the coils are only be imported in full form your gonna need 21

Answer:

21 cables

Step-by-step explanation:

Because the cables come in 250-foot coils, you cannot have a piece of one cable. So, if you take the total amount of cable you need (5,127 feet) and divide it by how long a single cable is (250 feet).

5,127 divided by 250 is 20.508, but you cannot have a piece of one cable. So, you round up to the nearest whole number, 21.

Therefore , the solution of the given problem of triangle comes out to be the distance of  the drone from the start point is  13feet.

Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.

Here,

Given : Height of drone  = 5 feet

and  distance of drone covered is 12 feet

Thus ,

to calculate the distance of  the drone from the start point

distance can be represented as H

Since it forms right triangle.

By using pythagoras theorem,

=> 5² + 12² = H²

=> H² = 169

=> H = √169

=> H = 13

Therefore , the solution of the given problem comes out to be the distance of  the drone from the start point is  13feet.

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