Eli is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 5 people. Eli reserved twice as many large rooms as small rooms, which altogether can accommodate 65 guests. Determine the number of small rooms reserved and the number of large rooms reserved.

Answer:

x = 4

Step-by-step explanation:

We have the algebraic expression 3x + 16 = 7x and are asked to solve.

When we need to solve for x, we need to get x alone always.

So 3x + 16 = 7x.

Subtract 3x from both sides :

16 = 4x

Divide 4 from both sides :

x = 4

Answer:

[tex] \large \boxed{x = 4}[/tex]

Step-by-step explanation:

Goal

Given

[tex]3x + 16 = 7x[/tex]

Step 1

[tex]16 = 7x - 3x \\ 16 = 4x[/tex]

Step 2

[tex] \frac{16}{4} = x \\ 4 = x[/tex]

Step 3

[tex]3x + 16 = 7x \longrightarrow 3(4) + 16 = 7(4) \\ 12 + 16 = 28 \\ 28 = 28[/tex]

The equation is true for x = 4. Hence, the solution is x = 4

Answer:

7

Step-by-step explanation:

To find the geometric mean of two numbers, just find the product of those numbers and take the square root!

5 x 9.8 = 49

√49 = 7

I hope this helped!

Sincerely,

Rekifromsk8theinfinity

:D

Answer:

[tex]\displaystyle m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (3, 7)

Point (9, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

Step-by-step explanation:

1/4 ,  1/10   2/3      2/5

Answer:

Options (C), (D) and (E)

Step-by-step explanation:

Slope of the given line = [tex]\frac{1}{3}[/tex]

Any line having same slope will be parallel to the given line otherwise the lines will intersect.

Therefore, we will find the slope of the lines passing through two points given in the options.

Option A

Slope of the line passing through (12, -13) and (15, -12)

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   = [tex]\frac{-13+12}{12-15}[/tex]

   = [tex]\frac{1}{3}[/tex]

Therefore, both the lines are parallel having no point of intersection.

Option B

Slope = [tex]\frac{-9+7}{18-24}[/tex]

          = [tex]\frac{1}{3}[/tex]

Both the lines are parallel having no point of intersection.

Option C

Slope = [tex]\frac{-20+21}{15-18}[/tex]

          = [tex]-\frac{1}{3}[/tex]

Therefore, both the lines will intersect.

Option D

Slope = [tex]\frac{-15+14}{30-36}[/tex]

          = [tex]\frac{1}{6}[/tex]

Both the lines will intersect each other.

Option E

Slope = [tex]\frac{-11+10}{24-30}[/tex]

          = [tex]\frac{1}{6}[/tex]

Both the lines will intersect each other at a point.

Options (C), (D) and (E) are the correct options.

Answer:

s=6

Step-by-step explanation:

Hope this helps :)

The value of s for the given expression 3(s + 4 = 30 will be 6.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

3(s + 4) = 30

Divide both sides by 3

s + 4 = 10

Subtract both sides by 4

s + 4 - 4 = 10 - 4

s = 6

Hence "The value of s for the given expression 3(s + 4 = 30 will be 6".

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Answer:

C ASA

Angle side Angle.....

9514 1404 393

Answer:

  a)  x = ±5

  b)  x = ±√11 ≈ ±3.317

Step-by-step explanation:

Since we want x for some function value, it is convenient to determine the inverse function.

  x = g(y)

  x = y^2 -5

  x +5 = y^2

  y = ±√(x +5)

__

a) x = ±√(20 +5) = ±5

b) x = ±√(6 +5) = ±√11 ≈ ±3.317

Answer:

The answer is b can i have brainliest

Step-by-step explanation:

Answer:

it's b :)

Step-by-step explanation:

Answer:

12 is the answer

Step-by-step explanation:

12 is the answer

Given:

A figure in which a transversal line intersect two parallel lines.

[tex]m\angle 2=4x+7, m\angle 7=5x-13, m\angle 5=68[/tex] and [tex]m\angle 3=3y-2[/tex].

To find:

The value of x and y.

Solution:

We know that, if a transversal line intersect two parallel lines, then

(1) Alternate exterior angles are equal.

(2) Same sided interior angles are supplementary. So their sum is 180 degrees.

In the given figure j and k are parallel lines and l is a transversal line.

From the given figure, it is clear that,

[tex]m\angle 2=m\angle 7[/tex]                (Alternate exterior angles are equal)    

[tex]4x+7=5x-13[/tex]

[tex]7+13=5x-4x[/tex]

[tex]20=x[/tex]

Therefore, the value of x is 20.

Now,

[tex]\angle 3+\angle 5=180[/tex]     (Same sided interior angles are supplementary)

[tex]3y-2+68=180[/tex]

[tex]3y+66=180[/tex]

[tex]3y=180-66[/tex]

[tex]y=\dfrac{180-66}{3}[/tex]

[tex]y=\dfrac{114}{3}[/tex]

[tex]y=38[/tex]

Therefore, the value of y is 38.

Answer:

18.4

Step-by-step explanation:

9.2 + 9.2 = 18.4

Answer:

2x^2+7x+3

Step-by-step explanation:

(2x+1)(x+3)

2x^2+x+6x+3

2x^2+7x+3

Answer:

c

Step-by-step explanation:

180-24-30=126

3x-9=126

3x=135

x=45

Answer:

F(x) = 43/16 (43 over 16)

Answer:

$36.89

Step-by-step explanation:

Given data

Totals $29.75

tip= 24% tip

=24/100*29.75

=0.24*29.75

=7.14

In all the bill is 7.14+29.75

=$36.89

Answer:

5

Step-by-step explanation:

Answer:

m = -1/3

Step-by-step explanation:

By using rise over run, the slope is going 1 down and 3 across.

Answer:

-63

Step-by-step explanation:

Answer:

0.29 or 29 percent I put it on god

Step-by-step explanation:

The percentage of people attending supported the home team is 29%.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, 2400 people attended a basketball game. 696 of the people attending supported the home team, while 1704 supported the visiting team.

From the general formula of percentage:

percentage = value/ total value * 100

Since, Out  of 2400 only 696 supported the home team

thus,

Percentage = 696/2400*100

Percentage = 29%

Therefore, 29% percentage of people attending supported the home team.

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Answer:

the answer that you are looking for is D

Step-by-step explanation:

The Tommy's class collect the amount of 14 dollar.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.

We need to find the solutions of the equation 2(x + $3.00)= $34.00 ;

Now solving for x;

2(x + $3.00)= $34.00

Open the bracket;

2x + 6 = 34

Combine the like terms;

2x = 34 - 6

2x = 28

x = 14

Therefore, the equation 2(x + $3.00)= $34.00 has only one solution which is 14.

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Answer:

first pays 60

Step-by-step explanation:

Answer your answer is correct it is 9

Step-by-step explanation:

Answer:your correct! btw heyy

Step-by-step explanation:

Answer:

Length of JK is 68.27 units.

Step-by-step explanation:

By applying geometric mean theorem (leg theorem) in the triangle attached,

[tex]\frac{KL}{KM}= \frac{JK}{KL}[/tex]

(KL)² = (KM)(JK)

(32)² = (15)(x)

x = [tex]\frac{1024}{15}[/tex]

x = 68.2666

x ≈ 68.27

Therefore, length of JK is 68.27 units.

Answer:

a= 80

b= .25

Step-by-step explanation:

We know that a has to equal 80 because

[tex]a(b)^0=80\\a=80[/tex]

We can then just solve for b

[tex]80(b)^1=20\\b=\frac{20}{80} \\b=.25[/tex]

Answer:

7.81

Step-by-step explanation:

Answer:

[tex] \sqrt{66} [/tex]

Step-by-step explanation:

By geometric mean property:

[tex]BD = \sqrt{6 \times 5} = \sqrt{30} \\ \\ In \: \triangle ABD: \\ by \: pythagoras \: theorem : \\ \\ AD^2 = AB^2 + BD^2 \\ \\ {x}^{2} = {6}^{2} + {( \sqrt{30}) }^{2} \\ \\ {x}^{2} = 36 + 30 \\ \\ {x}^{2} = 66 \\ \\ x = \sqrt{66} [/tex]

Answer:

$18,630

Step-by-step explanation:

The cost of every college is expected to increase 3.5% next year.

The cost to attend Westish College is currently $18000.

What is the expected cost to attend Westish College next year?

The increase in the cost for next year is calculated as:

3.5 % × Current cost

= 3.5% × $18,000

= $630.

The expected cost to attend Westish college next year=

$18,000 + $630

= $18,630

Answer:

I don't know but, try your hardest you can do it! I know you can!

Answer:

$325

Step-by-step explanation:

Let  the dryer be x and the washer be y

x+y= 711---------1

y= x+61-----------2

put y= x+61 in 1

x+x+61= 711

2x+61= 711

2x= 711-61

2x=650

x= 650/2

x=325

Hence the dryer cost $325