Evaluate the
-5+ (-6) =
-9 +(+7)=
-3 + (-11)
-5 - (+13)
-11-(-19)
14+ (-7)=

There are 70 grandparents, 140 parents, and 190 children in attendance at the family reunion

Given data ,

Let's denote the number of grandparents as "g", the number of parents as "p", and the number of children as "c".

Given that there were 400 people total at the family reunion, we can write the equation:

g + p + c = 400

Now , there were twice as many parents as grandparents, so we can write:

p = 2g

And we are given that there were 50 more children than parents, so we can write:

c = p + 50

Now we can use the equations (1), (2), and (3) to solve for the values of g, p, and c.

On simplifying the equation , we get

g + 2g + (2g + 50) = 400

5g + 50 = 400

5g = 400 - 50

5g = 350

g = 350 / 5

g = 70

Now we can substitute the value of g into (2) to find the value of p:

p = 2g = 2 x 70 = 140

And we can substitute the value of p into (3) to find the value of c:

c = p + 50 = 140 + 50 = 190

Hence , there were 70 grandparents, 140 parents, and 190 children in attendance at the family reunion

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

I believe that the answer B,D,and E

Answer:

A, D, and E (I think)

Step-by-step explanation:

I'm pretty sure those would be the right answers, sorry that this isn't much of an explanation lol

Answer:

Cohort study

Step-by-step explanation:

The study described above is closely related to a cohort study in that Cohort studies mainly observes the participants who might or might not have been exposed to a particular effect or drug, in this case the oral contraceptive and bacteriuria development. The effect of exposure is observed for a certain period time usually called the follow-up period. Conversely, experimental study will require that participants are divided into groups with one group being exposed to the treatment while the other will be the placebo.This isn't the case in the study described above, hence, it is closely related to a cohort study.

Check the picture below.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.

The five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.

The five regular polyhedra are:

1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.

2. Cube: It has six square faces, and three squares meet at each vertex.

3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.

4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.

5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:

"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".

For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:

V - E + F = 2  

=>  kV/2 - kE/2 + F = 2  

=>  k(V/2 - E/2) + F = 2

Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:

k(V/2 - (nF)/2) + F = 2  

=>  (kV - knF + 2F)/2 = 2  

=>  kV - knF + 2F = 4

Now, we need to consider the conditions for a valid polyhedron:

1. The number of faces (F), edges (E), and vertices (V) must be positive integers.

2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.

Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:

(n, k) pairs:

(3, 3) - Tetrahedron

(4, 3) - Cube

(3, 4) - Octahedron

(5, 3) - Dodecahedron

(3, 5) - Icosahedron

Therefore, there exist only five regular polyhedra.

Learn more about regular polyhedron here:

https://brainly.com/question/29134238

#SPJ1

Answer:

Step-by-step explanation:

a) To determine the endogenous variables, we need to identify the variables that are determined within the model equation. In the given model, the endogenous variable is Y (output or national income).

b) Let's find Y, C, and T step-by-step:

Start with the equation Y = C + I0 + g0.

Substitute C from the equation C = a + b(y - T).

Y = (a + b(y - T)) + I0 + g0.

Substitute T from the equation T = d + tY.

Y = (a + b(y - (d + tY))) + I0 + g0.

Expand the equation:

Y = a + by - bd - btY + I0 + g0.

Rearrange the equation to isolate Y:

Y + btY = a + by - bd + I0 + g0.

Y(1 + bt) = a + by - bd + I0 + g0.

Y = (a + by - bd + I0 + g0) / (1 + bt).

Now, Y is expressed in terms of the exogenous variables a, b, d, I0, g0, and the endogenous variable Y itself, along with the parameter t.

To find C and T, we can substitute the obtained Y value back into the respective equations:

Substitute Y into the equation C = a + b(y - T):

C = a + b(y - T) = a + b(y - (d + tY)) = a + by - bd - btY.

C = a + by - bd - bt[(a + by - bd + I0 + g0) / (1 + bt)].

Now, C is expressed in terms of the exogenous variables a, b, d, I0, g0, and the endogenous variable Y, along with the parameter t.

Substitute Y into the equation T = d + tY:

T = d + tY = d + t[(a + by - bd + I0 + g0) / (1 + bt)].

Now, T is expressed in terms of the exogenous variables d, t, and the endogenous variable Y, along with the parameters a, b, I0, and g0.

It's important to note that in the given model, there is only one endogenous variable, Y (national income/output). C and T are determined based on the values of Y and the exogenous variables.

Answer:

a) \(t = 1\,s\), \(\dot A \approx 22619.467\,\frac{cm^{2}}{s}\), b) \(t = 3\,s\), \(\dot A \approx 67858.401\,\frac{cm^{2}}{s}\), c) \(t = 5\,s\), \(\dot A \approx 113097.336\,\frac{cm^{2}}{s}\). The rate at which the area within the circle is increasing linearly inasmuch as time passes by.

Step-by-step explanation:

The area of a circle is described by the following formula:

\(A = \pi \cdot r^{2}\)

Where:

\(A\) - Area, measured in square centimeters.

\(r\) - Radius, measured in centimeters.

Since circular ripple is travelling outward at constant speed, radius can be described by the following equation of motion:

\(r (t) = \dot r \cdot t\)

Where:

\(\dot r\) - Speed of the circular ripple, measured in centimeters per second.

\(t\) - Time, measured in seconds.

The rate of change of the circle is determined by deriving the equation of area and replacing radius with the function in terms of the speed of the circular ripple and time. That is to say:

\(\dot A = 2\cdot \pi \cdot r \cdot \dot r\)

\(\dot A = 2 \cdot \pi \cdot \dot r^{2}\cdot t\)

Where:

\(\dot A\) - Rate of change of the circular area, measured in square centimeters per second.

\(\dot r\) - Speed of the circular ripple, measured in centimeters per second.

\(t\) - Time, measured in seconds.

If \(\dot r = 60\,\frac{cm}{s}\), then:

a) \(t = 1\,s\)

\(\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (1\,s)\)

\(\dot A \approx 22619.467\,\frac{cm^{2}}{s}\)

b) \(t = 3\,s\)

\(\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (3\,s)\)

\(\dot A \approx 67858.401\,\frac{cm^{2}}{s}\)

c) \(t = 5\,s\)

\(\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (5\,s)\)

\(\dot A \approx 113097.336\,\frac{cm^{2}}{s}\)

The rate at which the area within the circle is increasing linearly inasmuch as time passes by.

Option D. The mountainous geography of Athens influence the economy as The people of Athens relied on sea trade.

Greece's rugged terrain caused some areas, particularly Athens, to become dependent on trade. Many Greeks went on to become seafaring tradesmen and merchants. Greeks engaged in trade with other Mediterranean people for pottery, wine, and olive oil. They communicated with the outside world by sailing to neighboring islands.

The geography of the area influenced the ancient Greeks' political system and way of life. Mountains, seas, and islands formed natural barriers between the Greek city-states, forcing the Greeks to relocate to coastal areas.

Read more on Athens here: https://brainly.com/question/15909150

#SPJ1

Option D, which is the closest choice to 933.33, is 930. As a result, 930 fraction acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans

A fraction is a number that represents a portion of a whole or a ratio between two quantities in mathematics. It is represented as a top number (numerator) over a bottom number (denominator) divided by a horizontal line, also known as a vinculum. The fraction 3/4, for example, represents three-quarters of a whole that has been divided into four equal parts. Proper fractions, improper fractions, and mixed numbers are all ways to express a fraction. A suitable fraction is one in which the numerator is less than the denominator, for example, 2/5.

Mr. Bailey intends to plant soybeans on 4 of every 9 acres, which equates to (4/9) of the total acres he farms.

If he intends to cultivate 2,100 acres, the number of acres planted with soybeans is:

(4/9) x 2,100 = 933.33

We must round this amount to the next whole number because he cannot plant soybeans on a fraction of an acre.

Option D, which is the closest choice to 933.33, is 930. As a result, 930 acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans.

To know more about fraction visit:

https://brainly.com/question/10354322

#SPJ1

Answer:

B.

I hope it will be useful.

Step-by-step explanation:

ΔACB is congruent to ΔXZY!!

Hint : Interchange the position or simply drag your perception of seeing the Δ.

Answer:

Step-by-step explanation:

Let the money earned during fundraising activities =x

Since the World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis Foundation.

The amount of money the foundation will receive

=60% of x

= 0.6x

In the bake sale, the club raised $72.

Therefore, the amount the foundation will receive =0.6*72=$43.20

At the end of the year, the World Issues Club mailed a cheque to the foundation for $850.

Therefore:

0.6x=850

x=850/0.6

x=$1416.67

The total amount of money the club raised is $1416.67.

Value of car after 1 year = ₹{28000×(1-25/100)}

= ₹ {28000× 3/4}

= ₹7000×3

= ₹21000

Answer:

21/8

Step-by-step explanation: So in 1 day Peter walks 7/8 of a mile. You take 3 and make it 3/1 then mutiply it by 7/8. Your final answer is 21/8 miles or 2 5/8

Answer:

Step-by-step explanation:

you look it up, If that doesn't work, see if someone asked the same question on this, if not, I got nothing.

Answer:

Step-by-step explanation: its 24

1,2,5

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph

Answer:

5%

Step-by-step explanation:

Let p be the unknown percent.

Put this into a basic equation - (p/100)*90=72

Simplify this expression and you will get 5%

Answer:

33cm

Step-by-step explanation:

385 / 35 = 11

11 times 3 = 33

Answer:

3/10

Step-by-step explanation:

2/5 + 1/5 = 3/5, which gets changed to 6/10, amd 6/10 - 3/10 = 3/10

Since the information is recorded in a chart, Then jane is recording a data.

The maximum number of 1 cubic centimeter cubes that will fit into a box with a volume of 32 cm³ is: 32 cubes.

The volume of a cube = s³, where s is the edge length of the cube.

Given the following:

Volume of 1 cube = 1 cubic centimeters

Box volume = 32 cubic centimeters

Number of cubes that will fit into the box = 32/1 = 32 cubes.

Learn more about volume of cube on:

https://brainly.com/question/1972490

6.7×10 8 is your correct answer

Answer:

the scientific notation is: \(6.7 ~x~10^{8}\)

Step-by-step explanation:

The proper format for scientific notation is;

where a is a number or decimal number such that the absolute value of a is greater than or equal to one.

Given:

Thus, the scientific notation is:

Answer:

n = -5 or -6

Step-by-step explanation:

\(n^2+ 11n + 30 = 0\)

Lets factorise the quadratic equation :-

→ Lets split the middle term of the equation.

\(=> n^2 + 5n + 6n + 30 = 0\)

→ Lets take 'n' common from the first 2 terms & '6' common from last 2 terms.

\(=> n(n + 5) + 6(n + 5) = 0\)

→ Lets take (n + 5) whole in common from the equation.

\(=> (n + 5)(n + 6) = 0\)

Here , we get 2 values of n :-

1) \(n + 5 = 0\)

\(=> n = -5\)

2) \(n + 6 = 0\)

\(=> n = -6\)

∴ Hence , n = -5 or -6

X = 1 4 5 6

Y = 20 8 4 0

From the function: Y = 24 - 4X

If X = 1, then Y = 24 - 4(1) = 20

If X = 4, then Y = 24 - 4(4) = 8

If X = 5, then Y = 24 - 4(5) = 4

If X = 6, then Y = 24 - 4(6) = 0

More on mathematical functions can be found here: https://brainly.com/question/12431044

#SPJ1

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation: