Joel has $100 more than Mike. After Joel gave half of his money to Mike, Mike had $500 more than Joel. How much did they have altogether?​

The maximum height of the ladder on the wall is given as follows:

h = 8.7 m.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

For the angle of 60º, the parameters are given as follows:

Hence the maximum height is obtained as follows:

tan(60º) = h/5

h = 5 x tangent of 60 degrees

h = 8.7 m.

More can be learned about trigonometric ratios at brainly.com/question/24349828

#SPJ1

The sum of geometric series 3+2.55+2.1675+1.842375+...

Hence, the correct option is B.

To find the sum of a geometric series, we can use the formula

S = a(1 - [tex]r^{n}[/tex]) / (1 - r)

Where

S = sum of the geometric series

a = first term of the series

r = common ratio of the series

n = number of terms in the series

In this case, we can see that the first term is 3 and the common ratio is 2.55/3 = 0.85. We can also see that there are an infinite number of terms in the series.

Using the formula for an infinite geometric series, we can simplify the formula to

S = a / (1 - r)

By putting these values we have, we get

S = 3 / (1 - 0.85) = 20.

Hence, the sum of the geometric series is 20.

Hence, the correct option is B.

The question is incomplete and the complete question is '' FIND THE SUM OF GEOMETRIC SERIES 3+2.55+2.1675+1.842375+...

A. 8

B. 20

C. 12

D. 4 ''

To know more about geometric series here

https://brainly.com/question/895639

#SPJ1

The garment factory needs to produce an average of 126 sets per day in the next 2.5 days to complete the order of 690 sets.

We have,

The number of sets produced in the first 5 days.

= 5 x 75

= 375

The number of sets remaining.

= 690 - 375

= 315

The number of sets to be completed in the next 2.5 days.

= 315

The average number of sets to be completed per day.

= 315 / 2.5

= 126

Therefore,

The garment factory needs to produce an average of 126 sets per day in the next 2.5 days to complete the order of 690 sets.

Learn more about averages here:

https://brainly.com/question/31080273

#SPJ1

The three angles of the triangle are 48 degrees, 60 degrees, and 72 degrees and it is a acute triangle.

The three angles of the triangle 4x, 5x, and 6x, where x is a constant of proportionality.

We know that the sum of the angles of a triangle is always 180 degrees, so we can set up an equation:

4x + 5x + 6x = 180

Simplifying, we get:

15x = 180

Dividing both sides by 15, we get:

x = 12

So the three angles of the triangle are:

4x = 4(12) = 48 degrees

5x = 5(12) = 60 degrees

6x = 6(12) = 72 degrees

all three angles are less than 90 degrees, the triangle is an acute triangle.

Therefore, the three angles of the triangle are 48 degrees, 60 degrees, and 72 degrees and it is a acute triangle.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ1

Answer:

Expected Value = -1(999/1000) + 499(1/1000) = -500/1000 = -50 cents

Step-by-step explanation:

Answer:

57.89%

Step-by-step explanation:

Implied probability = (1 / (odds + 1)) x 100%

Using the odds of 8/11 for Hillary Clinton:

Implied probability = (1 / (8/11 + 1)) x 100% = 57.89%

There is a 57.89% chance that Hillary Clinton will win the presidency.

Applying the circumference formula, the strip of aluminum foil should be about 38 inches long, which corresponds to answer choice D.

To determine the length of the aluminum foil strip, we need to find the circumference of the pie pan, which is the distance around the edge of the pan.

The formula for the circumference of a circle is:

C = 2πr

where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle (which is half the diameter).

Since the pie pan has a diameter of 12 inches, the radius is 6 inches. Therefore:

C = 2π(6)

C ≈ 37.7 inches

This is approximately, D. 38 inches.

Learn more about circumference on:

https://brainly.com/question/29504171

#SPJ1

Answer:

----------------------

To solve this problem, we can use a system of equations with two variables:

We have two equations based on the given information:

Solve the first equation for x:

Substitute the expression for x into the second equation:

Simplify and solve for y:

Substitute the value of y back into the expression for x:

So, you should mix 9.375 pounds of almonds with 10.625 pounds of peanuts to obtain 20 pounds of mixture that will sell for $4.50 per pound.

Answer:

Step-by-step explanation:

You should mix 9.375 pounds of almonds with 10.625 pounds of peanuts to obtain 20 pounds of mixture that will sell for $4.50 per pound.

Answer:

They barter, or trade (without using money). Economic systems are based on customs, traditions, and beliefs of the past.

Step-by-step explanation: -

When 70 to a z-score, the resulting z-score is 0

From the question, we have the following parameters that can be used in our computation:

Mean = 70

Standard deviation = 8

Score = 70

To convert 70 to a z-score, we make use of the following equation

z = (score - mean)/Standard deviation

Substitute the known values in the above equation, so, we have the following representation

z = (70 - 70)/8

Evaluate the expression

z = 0

Hence, converting 70 to a z-score. we get 0

Read mroe about z-score

https://brainly.com/question/25638875

#SPJ1

Using Nearest Neighbor starting in Fort Worth, the route will have a total path length of 183.

Using Nearest Neighbor starting in

Foethliceth:

We take the cheapest way to travel,

19 38 41 D42 F

d+ F A 43 M

Total path length = 19 +43 +38 +41 +42 = 183

Using Repeated Nearest. Neighbor:

The repetitive nearest algorithm says. to tey each veetex as starting point I then choose the best answer.

Feam Fort Worth:

F 19 A 43 M 38 p 4D 42 F

Total path length. = 183

Learn more about route on

https://brainly.com/question/28484617

#SPJ1

The hiking trial at the state park that is the longest would be D. Hilltop

To find the hiking trail that is longest, convert the lengths shown to one form so as to see which is the longest.

Mammoth = 8.005 kilometers

Brookside = 8. 7 kilometers

Wild Rose = 8, 080 meters = 8. 08 kilometers

Hilltop = 8 kilometers 800 meters = 8. 8 kilometers

This then shows that the hiking trail that is the longest in the state park is the Hilltop trail which goes for 8. 8 kilometers.

Find out more on hiking trails at https://brainly.com/question/29638961

#SPJ1

Answer:

I need the rotation in degrees around the origin (flip around x axis, 90 degrees counter clockwise) or send all of the graph options

Step-by-step explanation:

The initial amount of money with P was 2Q0 = 2 * 3Q0 = 6Q0.

Amount is the sum of money or quantity of something. It is usually measured in numerical values such as dollars, pounds, or euros. It is used to describe the total of something, such as how much money is in a bank account or the total cost of a purchase. Amount can also be used to describe a quantity of something such as the amount of time spent on a project or the amount of people present at an event.

Let us denote the initial amount of money with P, Q and R as P0, Q0 and R0 respectively. We know that P gave some money to Q and R such that their amounts were doubled, which implies that P0 = 2(Q0 + R0). Similarly, Q gave some money to P and R such that their amounts were doubled, which implies that Q0 = 2(P0 + R0). Finally, R gave some money to P and Q such that their amounts were doubled, which implies that R0 = 2(P0 + Q0). Substituting the value of P0 from the first equation in the third equation, we get:

2(Q0 + R0) = 2(P0 + Q0)
2Q0 + 2R0 = 2P0 + 2Q0
R0 = P0

Substituting the value of R0 in the first equation, we get:

P0 = 2(Q0 + R0)
P0 = 2(Q0 + P0)
P0 = 2Q0 + P0
P0 = 2Q0

Finally, substituting the value of P0 in the second equation, we get:

Q0 = 2(P0 + R0)
Q0 = 2(2Q0 + R0)
Q0 = 4Q0 + R0
R0 = 3Q0

Therefore, the initial amount of money with P, Q and R can be calculated as follows:
P0 = 2Q0
Q0 = 3Q0
R0 = 3Q0

Therefore, the initial amount of money with P was 2Q0 = 2 * 3Q0 = 6Q0.

To know more about amount click-
http://brainly.com/question/25720319
#SPJ1

Step-by-step explanation:

Subtract the 99 from 949 then    divide by 2

949-99= 425 dollars = price of dryer

( then washer is  425 + 99 )

We can eulerize this graph in the most efficient way possible by making these vertices have even degree through  adding  an edge between them.

We can Eulerize a graph by ensuring  to add edges to the graph in a way that preserves its connectivity while ensuring that all vertices have even degree.

A good method to do this is by  adding  edges between pairs of vertices that have odd degree until all vertices have even degree.

In the scenario above,  all the  vertices have odd degree except for the first and last vertices. To make these vertices have even degree, we go ahead and add an edge between them.

Learn more about vertices at:

https://brainly.com/question/1217219

#SPJ1

Answer:

C. d= 163t represents the relationship between d, the number of dollars Rajindri earns, and t, the amount of time Rajindri works, in hours. This is because Rajindri earns $163 for every two hours that she works, which means she earns $81.50 for each hour that she works. Therefore, the equation that relates the number of dollars earned to the number of hours worked is d = 163t.

Step-by-step explanation:

Answer:

400% of 2 is 8, so it would be less than 10

Step-by-step explanation:

Answer:

7.5 kilometers

Step-by-step explanation:

[tex]\frac{40}{5}[/tex] = [tex]\frac{60}{x}[/tex]

[tex]\frac{40}{5}[/tex] can be simplified to 8

8 = [tex]\frac{60}{x}[/tex]  Multiply both sides by x

8x = 60  Divide both sides by 8

[tex]\frac{8x}{8}[/tex] = [tex]\frac{60}{8}[/tex]

x = 7.5

Helping in the name of Jesus.

The meaning of the given statement is concept of a cyclic subgroup in group theory.

What is cyclic group?

In group theory, a cyclic group is a group that can be generated by a single element. That is, it is a group that is generated by a single element a, where any element of the group can be expressed as a power of a.

The order of a cyclic group is equal to the order of its generator. If the generator has order n, then the cyclic group has n elements. The group operation in a cyclic group can be either additive or multiplicative, depending on the notation used.

The statement defines a cyclic subgroup is a subgroup of a group that is generated by a single element. The element used to generate the subgroup is called the generator of the cyclic subgroup. The set of all powers of the generator, including the inverse powers and the identity element, forms the cyclic subgroup.

In other words, the cyclic subgroup generated by an element a of a group is the smallest subgroup that contains a. It consists of all possible combinations of a and its inverse under the group operation.

A group or subgroup is called cyclic when it can be generated by a single element. In other words, if every element of the group can be expressed as a power of a single element, then the group is cyclic.

Learn more about cyclic subgroup here,

https://brainly.com/question/30697028

#SPJ1

Answer:

-4 < -2.3 < -0.43 < 69

Step-by-step explanation:

If you look at a number line,

-4 is the first to come and as we approach 0, it's -2.3 and then -0.43. After 0 is only 69 leftover.

Hope this helps and be sure to mark this as brainliest! :)

Step-by-step explanation:

first, remember Pythagoras :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90° angle).

a and b are the legs.

so, in our case

c² = 4² + 6² = 16 + 36 = 52

c = sqrt(52) = 7.211102551... ≈ 7.21

and then remember the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

a, b, c are the sides, A, B, C are the corresponding opposite angles (here also called alpha, beta. gamma would be the 90° angle).

so,

4/sin(alpha) = c/sin(90) = c

4 = c×sin(alpha)

sin(alpha) = 4/c = 4/7.211102551... = 0.554700196...

alpha = 33.69006753...° ≈ 33.69°

we don't need to do that much calculation for the third angle beta, as we know the sum of all angles in a triangle is always 180°.

so,

180 = alpha + beta + 90 = 33.69 + beta + 90

90 = 33.69 + beta

56.30993247... = beta ≈ 56.31°

Answer:

1. 17/8   2. 89/24   3. 47/12   4. 9/7

Answer:

1) 29

2) 57

3) 91

4) 15

Step-by-step explanation:

1) 7/8 + 11/4

find lcm

lcm=8

multiply through by 8

8×7/8+8×11/4

Gives: 7 + 22

 =29

2) 12/6+ 11/4

lcm=12

multiply through by 12

12× 12/6 + 12× 11/4

 24 + 33

 =57

3) 23/4 + 11/6

lcm=12

multiply through by 12

12× 23/4 + 12× 11/6

 =69 +22

 =91

4) 22/7 - 1

lcm=7

multiply through by 7

7 ×22/7 - 7 ×1

22-7

=15

Answer:

Step-by-step explanation:

We can start by solving the second equation for y:

1/2y - x = 1

1/2y = x + 1

y = 2x + 2

Now we can substitute this expression for y into the first equation:

y = 2 - 6x

2x + 2 = 2 - 6x

Adding 6x to both sides, we get:

8x + 2 = 2

Subtracting 2 from both sides, we get:

8x = -0

Dividing both sides by 8, we get:

x = 0

Now we can use this value of x to find y:

y = 2x + 2

y = 2(0) + 2

y = 2

Therefore, the solution to the system of equations is x=0 and y=2.

Phil owns a ranch business and uses four-wheelers to do much of his work the allowable depreciation for year 2 is $4,096.

To calculate the allowable depreciation for year 2, we need to determine the depreciation basis of the four-wheeler and then apply the appropriate MACRS depreciation rate.

The depreciation basis is the original cost of the asset minus any Section 179 expense deduction and any bonus depreciation claimed.

Since we are ignoring these deductions in this case, the depreciation basis is simply the original cost of the four-wheeler:

Depreciation Basis = $12,800

To determine the MACRS depreciation rate for year 2, we need to consult Table 2 from the MACRS tables, which gives the percentage rates for assets in the 5-year class for each year of the recovery period. According to Table 2, the depreciation rate for year 2 is 32%.

Using this information, we can calculate the allowable depreciation for year 2 as follows:

Depreciation for Year 2 = Depreciation Basis × MACRS Depreciation Rate for Year 2

Depreciation for Year 2 = $12,800 × 32%

Depreciation for Year 2 = $4,096

Therefore, the allowable depreciation for year 2 is $4,096.

For more details regarding depreciation, visit:

https://brainly.com/question/30531944

#SPJ1

The equation of the line that is perpendicular to the line passing through the points (-3, 10) and (3, 8) is y = 3x + 9.

To find a line that is perpendicular to another line, we need to use the fact that the slopes of the two lines are negative reciprocals of each other.

The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the slope formula:

slope = (y₂ - y₁)/(x₂ - x₁)

Therefore, the slope of the line passing through the points (-3, 10) and (3, 8) can be found as follows:

slope = (8 - 10)/(3 - (-3)) = -1/3

Now, to find the equation of a line perpendicular to this line, we need to find the negative reciprocal of the slope -1/3, which is 3.

Therefore, the slope of the line perpendicular to the given line is 3.

Now, we can use the point-slope form of a linear equation to find the equation of the perpendicular line. The point-slope form of a linear equation is:

y - y₁ = m(x - x₁)

where m is the slope of the line, and (x₁, y₁) is any point on the line.

We know the slope of the perpendicular line is 3, and we can choose any point on the line. Let's choose the midpoint of the given points (-3, 10) and (3, 8), which is

=> ((-3+3)/2, (10+8)/2) = (0, 9).

So, using the point-slope form of the equation with m = 3 and (x1, y1) = (0, 9), we get:

y - 9 = 3(x - 0)

Simplifying this equation, we get:

y = 3x + 9

To know more about equation here

https://brainly.com/question/10413253

#SPJ1

The frequency of the wave is 2.62 Hz