To rent a meeting room a college charges a reservation fee of $14 an additional fee of four dollars per hour. The chemistry club wants to spend less than $50 in renting a room. What are the possible numbers of ours a chemistry club could rent the meeting room?

Answer:

x = n - m

Step-by-step explanation:

To solve for x we have to isolate it.

[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] = [tex]n^{2}[/tex]

First, let's subtract  [tex]m^{2}[/tex] from both sides of the equation:

[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] -  [tex]m^{2}[/tex] = [tex]n^{2}[/tex] -  [tex]m^{2}[/tex]

Now the equation looks like this: [tex]x^{2} \\[/tex] =  [tex]n^{2}[/tex] -  [tex]m^{2}[/tex]

Now we have apply a square root to both sides to remove the exponent from the x: [tex]\sqrt{x^2}[/tex] = [tex]\sqrt{n^2 - m^2}[/tex]

The square root and the exponents cancel out on both sides and you're left with: x = n - m

To solve for x the equation is: x = n - m

I hope this helps! :)

Answer:144

Step-by-step explanation:12 x 3 x 4=

Answer:

144

Step-by-step explanation:

Answer:

[1, 0, 0; 0, 1, 0; 0, 0, 1]

Step-by-step explanation:

[1, 2, -1; -1, 3, 3; 0, 2, -1]

Row Operation 1: Add 1 times the 1st row to the 2nd row:

[1,2,-1;0,5,2;0,2,-1]

Row Operation 2: Multiply the 2nd row by 1/5:

[1,2,-1;0,1,2/5;0,2,-1]

Row Operation 3: Add -2 times the 2nd row to the 3rd row:

[1,2,-1;0,1,2/5; 0, 0, -9/5]

Row Operation 4: Multiply the 3rd row by -5/9:

[1,2,-1;0,1,2/5; 0, 0, 1]

Row Operation 5: Add -2/5 times the 3rd row to the 2nd row:

[1,2,-1;0,1,0;0,0,1]

Row Operation 6: Add 1 times the 3rd row to the 1st row:

[1,2,0;0,1,0;0,0,1]

Row Operation 7: Add -2 times the 2nd row to the 1st row:

[1,0,0; 0,1,0;0,0,1]

Answer:

1st: 8x +2

2nd: 17x + 11

3rd: 8x + 19

4th: 9x + 125

5th: 17x + 21y + 18

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:'

given

we are told that the total number of animals is 169

the ratio of horses to chickens= 9:4

total ratio= 13

Required:

number of chickens

Applying part to all principle, let the number of chickens be x

4/13=x/169

cross multiply

4*169=13*x

divide both sides by 13

x=4*169/13

x=676/13

x=52

There are 52 chickens

Answer:

2j+7

Step-by-step explanation:

Phrase Into Algebraic Expression

If a problem is correctly phrased, it should be easily translated into algebraic language by following simple and concrete rules.

We have the phrase:

7 more than twice Jose's height.

Usually, we first deal with products and divisions before sums and subtractions because of the natural order of mathematic operations.

In the given phrase, the '7 more' part is left to the end and we start with the 'twice' part because it's a product.

Since we are using the variable j for Jose's height, then twice Jose's height is 2j.

Now we finish the expression by adding 7: 2j+7

Thus, the translation to algebraic expression is: 2j+7

Answer:

1.16 in

2.24 in

3.12.8 in

Step-by-step explanation:

We are given that

Width of photo=5 in

Length of photo=8 in

We have to find the length of new photo in each case.

1. Let x represent the width and y represents the length of photo.

When width increase then length of photo is also increases then it is direct proportion.

Substitute the values then we get

Hence, the length of photo=16 in

2.Width=x=15 in

Again using the formula

Hence, the length of new photo=24 in

3. Width =x=8 in

Substitute the values in the given formula

Hence, the length of new photo=12.8 in

Answer:

1.16 in

2.24 in

3.12.8 in

Step-by-step explanation:

We are given that

Width of photo=5 in

Length of photo=8 in

We have to find the length of new photo in each case.

1. Let x represent the width and y represents the length of photo.

When width increase then length of photo is also increases then it is direct proportion.

Substitute the values then we get

Hence, the length of photo=16 in

2. Width= x=15 in

Again using the formula

Hence, the length of new photo=24 in

3. Width = x=8 in

Substitute the values in the given formula

Hence, the length of new photo= 12.8 in

Answer: 16 feet

Step-by-step explanation:

Looking at the drawing, the longest wall in the room is the horizontal length of the scale drawing.

Looking at the longest wall, the number of squares with a side length on the line of the wall are 8 in number.

If each square represents a side length of 2 feet, the length of the wall will be;

= 2 * 8

= 16 feet

Answer:

150.90 feet

Step-by-step explanation:

It is given that,

A kite is flying 99 ft off the ground

The angle of elevation is 41°.

We need to find the length of the string. Let it is H.

Here, 99 ft is the perpendicular of a right angled triangle. We need to find hypotenuse of the triangle. Using trigonometry we can find it as follows :

[tex]\sin\theta=\dfrac{P}{H}\\\\H=\dfrac{P}{\sin\theta}\\\\H=\dfrac{99}{\sin(41)}\\\\H=150.90\ \text{feet}[/tex]

So, the length of the string is 150.90 feet.

Answer:

-5/4

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

Slope = (5-10)/(49-45)

Answer:

Step-by-step explanation:

1) Add 30+90 to get 120 and subtract 180-120= 60 as your third angle.

2) Take sin60= x/6 to get x= 3√3

3) Take sin30= y/6 to get y= 3

Here's a tip to verify this answer.

Use Pythagorean Theorem to do:

Square root of (3√3)^2 + 3^2 which equals 6 as your hypotenuse!

Answer:

35.50 + 12.25x = 25.99 + 14.99x

Step-by-step explanation:

Given

Atlantic Boat

Deposit = $35.50

Hourly Rate = $12.25

Pacific Boat

Deposit = $25.99

Hourly Rate = $14.99

Required

Determine the equation that represents when both charges would be equal

Represent the number of hours with x

For both rental agencies, the hourly rate would be calculated using:

Deposit + Hourly Rate * x

So, for Atlantic Boat, the expression is:

35.50 + 12.25 * x

35.50 + 12.25x

For Pacific Boat, the expression is:

25.99 + 14.99 * x

25.99 + 14.99x

Next, is to equate both expressions.

This, when solved would get the number of hours when there charges would be the same.

35.50 + 12.25x = 25.99 + 14.99x

Solving further:

Collect like terms

35.50 - 25.99 = 14.99x - 12.25x

9.51 = 2.74x

Divide through by x

x = 9.51/2.74

x = 3.47 hours

Answer: 3 numbers

Step-by-step explanation:

For this questions to be solved, we need to write the multiples of both 3 abd 5 that are less than 50. This will be:

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48

Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45.

Common multiples = 15, 30 and 45

Therefore, the numbers that is less than 50 that are multiples of both 3 and 5 are 3 numbers

where's the problem? lol

Answer:

3.54

Step-by-step explanation:

Well, we know it has to be 3.5 as our ones, and tenths place, (Thats what I did), and we know it can't be less than 3 for our hundredths place

If we do 0.05, or more as our hundredths place, than we won't be rounding right for the tenths place, so it has to be 3.54

The number in question that shows the decimal digits is; 3.54

We are told that the number has;

- Ones

- tenths

- hundredths

Thus means that the number is in 2 decimal places.

If we approximate to the nearest tenth and get 3.5, it means that the last number on the right of the decimal which is the hundredths is less than 5. It also means that the first number to the right of the decimal will remain as 5.

We are now told that this hundredths number is greater than 3. Thus, the hundredths number is 4.

If the approximation to the nearest whole number gives 4, it means that the number before the decimal will be 3.

Thus,in conclusion, the number is 3.54.

Read more at; https://brainly.com/question/12458734

Answer:

-5.5

Step-by-step explanation:

divide both sides by y which deleted y on the right side. then the left side turns into y instead of y squared. then you have y equals -5.5

Answer:

One is greater than zero, one is less than zero because one is on the right of the decimal and the other one is on the left of the decimal/

Step-by-step explanation:

Answer: because 4 tenths, is another way of saying 4/10 and in decimal form it's 0.4 and 4 tens is 10 10 10 10 which will = 40 a whole number

Step-by-step explanation:

Answer:

(0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

Step-by-step explanation:

Given the point (0, 0)

a)

Putting the point (0, 0) the inequality

y+4 < 3x-1

0+4 < 3(0)-1

4 < -1

This is false as -1 can not be greater than 4

b)

y-1 < 3x-4

Putting the point (0, 0) the inequality

0-1 < 3(0)-4

-1 < -4

This is false as -1 can not be lesser than -4

c)

y-4 < 3x-1

Putting the point (0, 0) the inequality

0-4 < 3(0)-1

-4 < -1

This is true as -4 is lesser than -1

d)

y+4 < 3x+1

Putting the point (0, 0) the inequality

0+4 < 3(0)+1

4 < 1

This is false as 4 can not be lesser than 1

Therefore, (0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

Answer:

Step-by-step explanation:

9.9 + 7.5 + 6.4 = 23.8

7.5 * 6.4 = 48

48 / 2 = 24

Answer:

[tex]\displaystyle \frac{dy}{dx} = -40x \sin (5x^2) \cos^3 (5x^2)[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \cos^4 (5x^2)[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

Step-by-step explanation: welp

Answer:welp

Step-by-step explanation:

Answer:

Yes (2,3)

Step-by-step explanation:

x+1 = -x+5

x+x = 5-1

2x=4

x=2

y=x+1=2+1

y=3

Answer:

(2, 3)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

y = x + 1

y = -x + 5

Step 2: Solve for x

Substitution.

Step 3: Solve for y

Step 4: Graph

We can graph the systems and check if the point is the actual solution set.

Answer:

The quotient of forty-two and six is seven.

Answer:

4.214

Step-by-step explanation:

Original Equation:

6.58 + 7.64 - 10.006

Add 6.58 to 7.64

14.22

Subtract 10.006 from 14.22

4.214

Hope this helps :)

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