Relatively Simple Math, pls lend a hand. 50 points and Brainliest

9514 1404 393

Answer:

Step-by-step explanation:

Let x and y represent the hotel charges in the two cities. The relations we are given are ...

  x - y = -1500 . . . . . . second city hotel charge was 1500 more

  0.03x +0.095y = 580 . . . . . total tax paid was 580

Using the first equation, we can write an expression for x:

  x = y -1500

Substituting that into the second equation gives ...

  0.03(y -1500) +0.095y = 580

  0.125y = 625 . . . . . . . add 45 to both sides and simplify

  y = 5000 . . . . . . . . . . multiply by 8

  x = 5000 -1500 = 3500

The hotel charges were ...

  First city: $3500

  Second city: $5000

Answer:

7 4/5

Step-by-step explanation:

when you subtract, keep the first value then change subtract to addition and, finally, change the sign of the second value

this problem, 7 1/5 -(-3/5) is the same as this addition problem:

7 1/5 + 3/5

this equals 7 4/5

Answer:

y = 8x/93

Step-by-step explanation:

To get the find the inverse function, swap x and y and solve the equation for x.

The slope is 3 this is intergers solution the right side is positive and left side is negative

Answer:

I believe it's a relation

Answewant to be allies?

Step-by-step explanation: lol

Answer:

12

Step-by-step explanation:

there are 12 3/4 on 11/4

Answer:

6 ways

Step-by-step explanation:

1: 2 pigs, 1 chicken

2: 2 pigs, 1 duck

3: 1 pig, 1 cow, 1 chicken

4: 1 pig, 1 cow, 1 duck

5: 2 cows, 1 chicken

6: 2 cows, 1 duck

The farmer can choose the animal in 6 ways as per different combinations.

Solution to the above problem

The different combinations can be written as follows:

nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time

Since we want 3 animals we can make different pairs as listed below

1: 2 pigs, 1 chicken

2: 2 pigs, 1 duck

3: 1 pig, 1 cow, 1 chicken

4: 1 pig, 1 cow, 1 duck

5: 2 cows, 1 chicken

6: 2 cows, 1 duck

To learn more about combinations refer to:

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= (1/2 × 6 × 4) square units

= (3 × 4) square units

= 12 square units

The area of the triangle is 12 square units.

Hope it helps.

Do comment if you have any query.

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First, Identify what is the height and base of the triangle.

[tex] \rightarrow [/tex] Height = 4 units

[tex] \rightarrow [/tex] Base = 6 units

[tex] \\ [/tex]

Now to find the area of the triangle, use the formula:

[tex] \rightarrow [/tex] Area = [tex] \sf \frac{Height × Base }{2} [/tex]

Solve.

[tex] \rightarrow [/tex] = [tex] \sf \frac{4 × 6}{2} [/tex]

[tex] \rightarrow [/tex]= [tex] \sf \frac{24 }{2} [/tex]

[tex] \rightarrow [/tex] = 12

Therefore, the area of the triangle is 12 units.

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#CarryOnLearning

Answer:

65

Step-by-step explanation:

5(6 + 7)

Distribute 5 to 6 and 7.

(5x6)+(5x7)

Multiply.

30+35

Add.

65

Hope this helps :)

Answer: 1/3

Step-by-step explanation:

Answer:

72w^3

how: factor 8w^3= 2^3 times w^3

factor 9w= 3^2 times w

multiply each factor with the highest power

2^3 times 3^2 times w^3

=72w^3

Answer:

Pasend pic

Step-by-step explanation:

Answer:

X = 0 or X = -2

Step-by-step explanation:

2x^4 + 16x = 0

x^4 + 8x = 0

x(x+2) (4+x^2_2x) = 0

x + 2 = 0

or

4+x^2_2x=0

Answer: 27 see my work

Step-by-step explanation:

1. We know that 30% are carrots, meaning that 70% are not carrots (30% + 70% = 100%)

2. Since 70% and 63 of the plants are not carrots, we know that 63 = 70%

3. We need to find 30% of the plants (all of the carrots) so let’s divide 63 by 7

63 = 70%

*divide both by 7*

9 = 10%

4. We know that 9 plants is equivalent to 10% of the plants, so let’s multiply by 3 to get the number of carrots

9 = 10%

*multiply by 3*

27 = 30%

There are 27 carrots

Answer:

0.005

Step-by-step explanation:

There are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.

To determine the number of Asians, Africans, Europeans, and Americans in the village, the following calculation must be performed:

Therefore, there are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.

Learn more about maths in https://brainly.com/question/25818763

Answer:

×=9-y

Step-by-step explanation:

you can do it believe in your self

Answer:

Step-by-step explanation:

The correct option is 3. Step-by-step explanation: It is given that License plates in the great state of Utah consist of 2 letters

Answer:

False

Step-by-step explanation:

The slope is not constant

Answer: The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.

Step-by-step explanation:

x is the price of the battery

x + 1.50 is the price of the torch

x + (x + 1.50) is 2.50

x + (x + 1.50) = 2.50

2x = 2.50 - 1.50

2x = 1

x = 1/2

x = 0.50

The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!

We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.

If you have any questions feel free to ask away!!

Comprehension

We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.

We also know that in an isosceles angle, the base angles are equation to each other.

Now that we know what we need to know, we can setup an equation.

[tex]2x-6+(2x)=180[/tex]

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.

I'll start solving now.

Solving

We can solve this by using the equation we made above and solving it with algebra.

[tex]2x-6+2x=180\\4x-6=180\\4x=186\\x=46.5[/tex]

We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.

[tex]2(46.5)-6+2(46.5)=180?\\4(46.5)=186?\\46.5=46.5[/tex]

We've proven that our answer is correct by double checking,

Therefore the answer is 46.5!

Cheers!

Answer:

Step-by-step explanation:

The third side could have dimension x

32 - 27 < x < 32 + 27

         5 < x < 59

There are a few special triangles

Equilateral triangle could have legs

27, 32, 27

or

32, 27, 32

A right triangle could have the third side

√(27² + 32²) = √1753 which is about 41.87

or

√(32² - 27²) = √295 which is about 17.18

Notice all these fit within the original limits specified.

Answer:

The third side is greater than 5 but less than 59.

Step-by-step explanation:

Remember: Given any two sides of a triangle, the length of the third side is greater than the difference but less than the sum of the length of the two given sides.

So 27 and 32       The given two sides

   32 - 27 = 5        Greater than the difference   (greater than 5)

   32 + 27 = 59     Less than the sum   (less than 59)

Answer:

2−4−12

Step-by-step explanation:

Answer:

I'm pretty sure it's A,B, and D.

Step-by-step explanation:

Answer:

3 miles/hour

Step-by-step explanation:

Well, we already know that the speed at which he paddles is 6 miles/hour

Since his net speed while going down stream is his speed plus the current's speed, here's what we have:

NetSpeed = HisSpeed + CurrentSpeed

Replace the values we already know:

9 = 6 + x

X = 3 miles/hour

An equation that can be used to find the speed of the current is,

4 = 9/(4 - x) + 9/(4 + x).

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

Given:

Ricky paddles his canoe at a rate of 6 miles per hour in still water.

Last weekend, he canoed on Carver Creek, going downstream with the current for 9 miles and then returning upstream against the current.

The trip took him 4 hours to complete.

The downstream rate = 4 + x

And the upstream rate = 4-x.

Then an equation can be used to find the speed of the current is,

4 = 9/(4 - x) + 9/(4 + x)

Therefore, the equation is 4 = 9/(4 - x) + 9/(4 + x).

To learn more about the speed;

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Work Shown:

10% of $9 = 0.10*9 = 0.90

The shipping cost is $0.90, or 90 cents.

This means the total cost goes from $9 to $9.90

Answer:x=3

Step-by-step explanation:

Answer:

[tex]t_4 = 20[/tex]

Step-by-step explanation:

The base case in the recursive function are:

[tex]t_1 = 1[/tex]

[tex]t_2 = 2[/tex]

The recursive case is equal to:

[tex]t_n = 2t_{n-1} + 3t_{n-2}[/tex]

So replace [tex]t_n[/tex] for [tex]t_4[/tex]:

[tex]t_4 = 2t_{3} + 3t_{2}[/tex]

In the new expression [tex]t_2[/tex] is a base case so you don't have to worry for that part, but [tex]t_3[/tex] is still the recursive case so evaluate again in [tex]t_n[/tex]

[tex]t_3 = 2t_{2} + 3t_{1}[/tex]

[tex]t_2[/tex] and [tex]t_1\\[/tex] are define as base cases so you replace for it's numbers:

[tex]t_3 = 2(2) + 3(1) = 7[/tex]

Now return to [tex]t_4[/tex] and replace for the new values:

[tex]t_4 = 2(7) + 3(2) = 14 + 6 = 20[/tex]

So the final answer is 20