Evelyn is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 5 people. Evelyn reserved 2 more small rooms than large rooms, which altogether can accommodate 54 guests. Write a system of equations that could be used to determine the number of small rooms reserved and the number of large rooms reserved. Define the variables that you use to write the system.

Answer:

8 km

Step-by-step explanation:

It is given that, the scale of a map says that 8 cm represents 5 km. We need  to find the  actual number of kilometers that is represented by 5 centimeters on the map.

8 cm = 5 km

1 cm = (8/5) km

For 5 cm, multiply (8/5) km by 5.

So,

x = 8 km

So, 8 km is represented by 5 centimeters on the map.

Answer:

y = 3x + 4

Step-by-step explanation:

Turn the equation from standard form to slope intercept form. So, solve for y.

3x - y = 2

~Subtract 3x to both sides

-y = 2 - 3x

~Divide -1 to everything

y = -2 + 3x

~Reorder

y = 3x - 2

The slope of a parallel line is the same as the original.

Find the new y-intercept.

y = 3x - 2

-2 = 3(-2) + b

-2 = -6 + b

4 = b

y = 3x + 4

Best of Luck!

Answer:

B. 3 pages are edited every five minutes

D. 6/10 of a page is edited per minute

Step by step:

Three pages are done at an interval of five minutes.

Six tenths of a page is done every minute

0.6 * 5 = 3 per five minutes

The other statements are false.

12/3 = 4, four done every minute, really?

5 pages are edited every three minutes.

This would disprove statement B.

And does not align with the graph.

Hope this helps.

Answer:

B. 3 pages are edited every five minutes

D. 6/10 of a page is edited per minute

Step-by-step explanation:

Answer:

214kg

Step-by-step explanation:

We can use the equation [tex]f(x)=(x)^2+18[/tex] to model the blobs growth. There are 14 days in 2 weeks so if we plug in [tex]f(14)[/tex] that will give us [tex]f(14) = (14)^2+18\\f(14)=214[/tex] so the blob will be 214kg in 2 weeks.

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

➷ [tex](4.3\cdot10-3)(2\cdot 10-2)[/tex]

➷ [tex]= (43 - 3)((2) (10) -2)[/tex]

➷ [tex]= 40 ((2) (10)-2)[/tex]

➷ [tex]= 40(20 - 2)[/tex]

➷ [tex]= (40)(18)[/tex]

➷ [tex]= 720[/tex]

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

Given expression:

    (4.3 x [tex]10^{-3}[/tex]) (2 x [tex]10^{-2}[/tex])

Solving this equation,

   (4.3 x [tex]10^{-3}[/tex]) (2 x [tex]10^{-2}[/tex])  = 4.3 x [tex]10^{-3}[/tex] x 2 x [tex]10^{-2}[/tex]

                                      =  (4.3 x 2)  x 10⁻³ x 10⁻²

                                       = 8.6 x 10⁻³ ⁺⁽⁻²⁾

                                       = 8.6 x 10⁻⁵

The solution of this problem is 8.6 x 10⁻⁵

Answer:

[tex] \sqrt[3]{g } = \sqrt[3]{729} [/tex]

[tex]g = 9[/tex]

Answer:

Yes

Step-by-step explanation:

If the number ends with 5 or 0, then it is divisible by 5

if you could subscribe to my friend penny_pg3d that would be great!

Step-by-step explanation:

-px + r = 8x -2

Step 1: Add -8x to both sides.

-px + r + -8x = 8x - 2 + -8x

-px + r - 8x = 2

Step 2: Add -r to both sides.

-px + r - 8x + -r = -2 + -r

-px - 8x = -r - 2

Step 3: Factor out variable x.

x(-p - 8) = -r - 2

Step 4: Divide both sides by -p - 8.

x(-p - 8) = -r - 2

-p - 8 -p - 8

Answer

x = r + 2

p + 8

Answer:

2 2/5 + 2 (-1/5)=2

Step-by-step explanation:

2 2/5+ -2/5

2x5+2/5+ -2/5

12/5 + -2/5

12/5 - 2/5

12-2/5

10/5

2

Answer:

A) y = x^2 -1

B) -y = 2x^2 +1  We multiply B) by -1

B) y = -2x^2 -1

We can then say x^2 -1 = -2x^2 -1

3 x^2 = 0

x = 0

************* Double-Check: ******************

Equation A) y = -1 and

Equation B) y = -1

Step-by-step explanation:

Answer: -5/6

Step-by-step explanation:

slope formula m=(y2-y1)/(x2-x1)

m=(-2-8)/(20-8)

m=-10/12

(simplify) m=-5/6

The slope value in the simplest form of a line that passes through (8, 8) and (20, -2) is:  [tex]\mathbf{-\frac{5}{6}}[/tex]

Recall:

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

Thus:

Given two points that a line passes through as: (8, 8) and (20, -2),

(8, 8) = [tex](x_1, y_1)\\\\[/tex]

(20, -2) = [tex](x_2, y_2)[/tex]

Slope (m) = [tex]\frac{-2 - 8}{20 - 8}[/tex]

Slope (m) = [tex]\frac{-10}{12}[/tex]

Slope (m) = [tex]\mathbf{-\frac{5}{6}}[/tex]

Therefore, the slope value in the simplest form of a line that passes through (8, 8) and (20, -2) is:  [tex]\mathbf{-\frac{5}{6}}[/tex]

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Answer:

39

Step-by-step explanation:

Step 1: Define

x(5x - 2)

x = 3

Step 2: Distribute

5x² - 2x

Step 3: Substitute and Evaluate

5(3)² - 2(3)

5(9) - 6

45 - 6

39

Answer:

39

Step-by-step explanation:

x(5x - 2)

Substitute x for 3

3(5 x 3 - 2)

Multiply inside Parenthesis

3(15 - 2)

Subtract 2

3(13)

Multiply to get

39

Answer

x= -3  -> y= -2

x= -1 -> y= -4

x= 3 -> y= -2

Step-by-step explanation:

The lines around the x in the equation is the absolute value symbol.

If you put a positive in, it stays positive.

If you put a negative in, it becomes positive.

Then solve normally.

Good luck!

Answer:

>

Step-by-step explanation:

Answer:

c = 25x

Step-by-step explanation:

c = total cost

x = games played

if you play 4 games, then change "x" into 4 and do 25 times 4

Answer:

2 cows

Step-by-step explanation:

Answer:

d/7 = c

Step-by-step explanation:

-5c+d=2c

Add 5c to each side

-5c+5c+d=2c+5c

d = 7c

Divide each side by 7

d/7 = 7c/7

d/7 = c

Answer:

d/7 = c

Step-by-step explanation:

STEP

1

:

           d

Simplify   —

           c

Equation at the end of step

1

:

    c          d

 (((—•c)-d)-(2•—))+d

    2          c

STEP

2

:

           c

Simplify   —

           2

Equation at the end of step

2

:

    c               2d      

 (((— • c) -  d) -  ——) +  d

    2               c.

Answer:

#1 x is 35

#2 x is 12

#3 x is 3

#4 is m and n

#5 x is 17

Step-by-step explanation:

Hope this helps

Answer:

35

Step-by-step explanation:

Answer:

12 pages per minute

Step-by-step explanation:

60 pages are being printed in 5 minutes.

60 pages/5 minutes = 12 pages/minute

Answer:

12 pages per minute

Step-by-step explanation:

60 = 5 minutes

1 minute = 60/5 = 12

Answer:

Explanation:

Let Vc be the velocity of the car and I'm the velocity of the motorcycle. If we convert their given values, we get:

Vc = 87 km/h * 1000m / 1km * 1h / 3600s = 24.17m/s

Vm = 95 km/h * 1000m / 1km * 1h / 3600s = 26.38m/s

Since their positions are equal after 17s we can stablish that:

Where d is the initial separation distance of 54m. Solving for a, we get:

  Repacing the values:

Answer:

80%

Step-by-step explanation:

I hope this helps!

The percentage of the month of June that experiences rain is 80%.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of days in June = 30.

Number of days in June that rains = 24

Now,

The percentage of days that rain in June.

= 24/30 x 100

= 80%.

Thus,

80% of the days in June rain.

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Answer:

30

Step-by-step explanation:

The car has travelled for 30 miles.

Amount of gallons in fuel tank = 16 gallons

Gas mileage = 30 miles per gallon.

Since the driver has 15 gallons left, the number of miles that the car traveled will be:

= (16miles - 15 miles) × 30

= 1 mile × 30

= 30 miles

The car travelled for 30 miles.

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Answer:

B

Step-by-step explanation:

I took the k12 test

Answer:

i believe the operation emma should use is addition subtraction and mixed numbers

Step-by-step explanation:

hope this helps!!!

Answer:

The answer is D. A clockwise rotation of 144 degrees about the origin.

Step-by-step explanation:

In most cases; when an object is transformed, the position of the object changes. A clockwise rotation of 144 degrees about the origin will map the pentagon onto itself.

Given:

The attached pentagon

The number of sides (n) in a pentagon is:

[tex]n = 5[/tex]

The pentagon will not be mapped onto itself when reflected across line m because m is not at the center of the polygon

The pentagon will not be mapped onto itself when reflected across the x-axis because the pentagon has 5 sides (odd number of sides)

To map the pentagon onto itself, the pentagon has to be rotated.

The angle of rotation is:

[tex]\theta = \frac{360}n[/tex]

[tex]\theta = \frac{360}5[/tex]

[tex]\theta = 72[/tex]

Other possible angles of rotation must be a multiple of 72. i.e.

[tex]\theta = 72, 144, 216, 288....[/tex]

This means that: option (d) is correct because 144 is a multiple of 72

Hence, a clockwise rotation of 144 degrees about the origin will map the pentagon onto itself.

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The coordinates of points A are -2 and 5.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

In the given image there is a rectangle ABCD on the coordinate axes. All the vertices of the rectangle are having coordinates. Point A of the rectangle is in the second quadrant where the value of y is positive but the value of x is negative. The coordinates of points A are -2 and 5.

Therefore, the coordinates of points A are -2 and 5.

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Answer:

80

Step-by-step explanation:

64 + 4²

64 + 16

80

I didn't understand that fraction part of the question. Sorry.