Here is a map of a town.
The map shows a centimetre ruler.
2 km is represented by 1 cm.
Find the real-life distance between the ice rink and the museum.

Dependent variable is the output value and the independent variable is the input value. So for y=5x-3, when you input x=3, the output is y=12.

y is the dependent variable.

x is the independent variable.

Answer:

285

Step-by-step explanation:

use algebra

third is x

second is 4x

first is 4x-3

x+4x+4x-3

9x-3 = x+x+1+x+2

9x-3=3x+3

12x=6, divide x=2

third is 2, sec is 8, first is 5

 [tex]7\frac{1}{2}[/tex] bags of coffee will last for 9 days.

A unit rate means a rate for one of something.

Given that, Ed's Café uses 5/6 of a bag of coffee every day, we need to find the number of days to use [tex]7\frac{1}{2}[/tex] bags of coffee,

Since, in one day it will use = 5/6 bag of coffee

So, 1 bag of coffee will last for 6/5 of the day,

Therefore,

[tex]7\frac{1}{2}[/tex] bags of coffee = 6/5 × 15/2 = 9

Hence,  [tex]7\frac{1}{2}[/tex] bags of coffee will last for 9 days.

Learn more about unit rates, click;

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Answer:

[tex]\frac{1}{7}\,\,miles/minute[/tex]

Step-by-step explanation:

Given: Travis and Tony took 40 minutes to skate 5 miles and the return trip took them 30 minutes

To find: average speed for the trip

Solution:

Total distance = 5 + 5 = 10 miles

Total time = 40 + 30 = 70 minutes

So,

Average speed for the trip = Total distance/Total time = [tex]\frac{10}{70}=\frac{1}{7}[/tex] miles/minute

Explanation:

Urgent care centers: care for basic needs after regular doctor hours

Hospitals: treat time-sensitive emergencies

Medical specialists: offer treatment in a specific field of medicine, such as cardiology

General practice doctors and nurse practitioners: care for routine medical needs

Crisis pregnancy centers: provide counseling for unplanned pregnancies

__

Discussion

Urgent care centers are often open all hours, but may not be as fully equipped (or staffed) to provide the sort of emergency medicine that a fully-equipped hospital can provide. While a general- or nurse-practitioner can provide routine care, they will consult with specialists when expertise is needed in a specific area.

Various kinds of pregnancy centers can provide counseling and perhaps some medical services for planned or unplanned pregnancies.

Answer:

all correct    

Step-by-step explanation:

Answer:

234

Step-by-step explanation:

The consecutive terms of the sequence have a common difference d

d = 17 - 10 = 24 - 17 = 7

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 10 and d = 7 , thus

[tex]a_{33}[/tex] = 10 + (32 × 7) = 10 + 224 = 234

Answer:

Total number of stamps is 600

Number of stamps collected from Europe is 150

Number of stamps collected from America is 200

Step-by-step explanation:

1/3 of stamps collected are from America

1/4 of stamps collected are from Europe

While 250 stamps are from Africa and Asia

Now what this means is that the fraction remaining when we subtract the sum of 1/3 and 1/4 is what is equal to 250

Firstly, let’s say the total stamp is x

Now the fraction of x equal to 250 would be ;

1-1/3-1/4 = 1-(1/3 + 1/4) = 1-(7/12) = 5/12

Now, 5/12 of x = 250

5/12 * x = 250

5x = 12 * 250

5x = 3,000

x = 3,000/5

x = 600 stamps

Thus, the total number of stamps collected is 600

The number collected from America is 1/3 * 600 = 200

The number collected from Europe is 1/4 * 600 = 150

Answer:

infinite solutions

Step-by-step explanation:

Multiply the second equation by 2

6x + 2y = 10

3x + y = 5

6x+2y = 10

This is identical to the first equation

This means there are infinite solutions

Answer:

The mass of the chocolate will be between 2.42 ounces and 2.58 ounces, the absolute value inequality is:  [tex]|mass - 2.5| < 0.08[/tex]

Step-by-step explanation:

The ideal mass of the chocolate is 2.5 ounces, although it can vary by 0.08 ounces, this variation can occur for greater masses and lesser ones. Therefore the actual mass of the each chocolate will sit between the ideal mass minus 0.08 and the ideal mass plus 0.08. Therefore we can construct the following inequality:

[tex]-0.08 < mass + 2.58 <0.08\\ |mass - 2.5|< 0.08\\[/tex]

The mass of the chocolate will be between 2.42 ounces and 2.58 ounces, the absolute value inequality is:  [tex]|mass - 2.5| < 0.08[/tex]

Answer:

The answer is B

Step-by-step explanation:

Srry it was so late

Answer:

5156

Step-by-step explanation:

Let x represent the initial attendance;

Since the initial attendance dropped by 2%

New attendance = x - 2% of x = x - 0.02x

New attendance = 0.98x

Given;

New attendance = 5053

Equating the values and solving for x;

0.98x = 5053

x = 5053/0.98

x = 5156.12

x = 5156

Initial attendance before the drop = 5156

Answer:

A. 2.2

Step-by-step explanation:

The average rate of change between 2 x values is the total change of the y values (output values) divided by the change in the x values.Slope is special situation of that.

point 1 (x₁,y₁) → ( 2,7.5)

point 2 (x₂,y₂) → ( 18,42.5)

slope = 42.5 -7.5/18-2 =35 / 16 = 2.1875 ≈ 2.2

Answer:

x = 1 and y = 4

Step-by-step explanation:

5x+2y+2x+6y = 39

7x+8y = 39

Trial and error method:

the answer that satisfies the equation are: x = 1 and y = 4

Hope this helps.

Good Luck

Answer:

(1, 4 )

Step-by-step explanation:

Given the 2 equations

5x + 2y = 13 → (1)

2x + 6y = 26 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the term in y

- 15x - 6y = - 39 → (3)

Add (2) and (3) term by term to eliminate y

- 13x = - 13 ( divide both sides by - 13 )

x = 1

Substitute x = 1 into either of the 2 equations and evaluate for y

Substituting into (1)

5(1) + 2y = 13

5 + 2y = 13 ( subtract 5 from both sides )

2y = 8 ( divide both sides by 2 )

y = 4

Solution is (1, 4 )

Answer: 5 + 1/4G

Step-by-step explanation:

From the question, Phil starts with G gallons of gas in his tank and Phil used 3/4 of gas. This means:

G - 3/4 = 1/4G

He is left with 1/4G and and then fills the tank with 5 gallons. The expression that represents the amount of gas now in his tank will be:

= 1/4G + 5 or 5 + 1/4G

Answer: 232 pages

Step-by-step explanation:

Total digits = 588

1 digit page number:

1 to 9 = 1 × 9 = 9

Number of pages = 9/1 = 9

2 - digit page number :

10 - 99 = 2 × 90 = 180

Number of pages = 180/2 = 90

3 - digit page number :

588 - (9 + 180) = 588 - 189 = 399

Number of pages with 3 - digits = 399/3 = 133

Therefore, the total number of pages the book has is :

(9 + 90 + 133) = 232 pages

Answer: The answer is 1.5 cm

Step-by-step explanation:

According to the scale drawing and common sense the bottom side of the triangle is smaller than the left side so the only answer that is smaller than 2 cm is 1.5 cm.

Answer: Mean Score = 50    Range = 31

Step-by-step explanation:

58+76+40+35+46+45+0+100=400

400/8=50

Range = subtract smallest number from largest number

54 - 23 = 31

Answer:

15 (x+y)

Step-by-step explanation:

Multiply 6 with inside the parenthesis 6(2x+3y) ➡ 12x + 18y

Multiply 3 with inside the parenthesis 3(x-y) ➡ 3x - 3y

Now add them up

12x + 18y + 3x - 3y = 15x + 15y ➡ 15(x + y)

Answer:

6(2x+3y) + 3(x-y)

12x + 18y + 3x - 3y

15x + 15y

15(x + y)

Step-by-step explanation:

Answer:

You can get 6 months

Step-by-step explanation:

Take the gift certificate and divide by the cost per month

30/5 = 6

You can get 6 months

Answer:

6

Step-by-step explanation:

You can compute this by dividing 30 by 5, or in otherwords, by finding the amount of times you can add 5 to get 30.

So 5 + 5 + 5 + 5 + 5 + 5 = 30

and since there are 6 5s, your answer is 6

Answer:

The polygon has a total of 15 sides

Step-by-step explanation:

Mathematically, the sum of the interior angles of a polygon can be calculated using the formula

(n-2) 180

Now there are 6 right angles. A right angle refers to 90 degrees. 6 right angles will be 6 * 90 = 540 degrees

Now the remaining number of angles in the polygon will be n-6 with each of this equal to 200 degrees each

The total amount of the remaining angles will be 200(n-6) = 200n-1200

Now adding all the interior angles will give the sum of 180(n-2)

180(n-2) = 200n -1200 + 540

180n -360 = 200n -660

200n -180n = 660-360

20n = 300

n = 300/20

n = 15

Answer:

87 mins

Step-by-step explanation:

The percentage of pages she read = 100-53= 47%

47%------------41 mins

53% ------------- x

x= (41×53)/47

x= 46.23 mins

nearest minute = 46 mins

Total reading assignments is 41+46= 87 mins

Answer:

87 minutes.

Step-by-step explanation:

to get the percentage of the read part, do 100% - 53% = 47%

41min = 47%

  ?        = 100%

cross multiply;

41 × 100 ÷ 47 = 87.2340...

round off to get 87 min

Answer:

It would be between 12 and 13.

Step-by-step explanation:

What we must do is find the square root of 160 and then round to the smallest number and the largest number, in this way we will know what integer that root would be, then we have to:

(160) ^ (1/2) = 12.65

If we round to the smallest number it would be 12 and if we round to the largest number it would be 13.

Which means that it would be between 12 and 13.

Answer:

Model: y = 370 * (1.1)^t

Time for 600 cells: after about 5 hours

Step-by-step explanation:

The function that models an exponencial growth is:

y = Po * (1 + r)^t

Where y is the final value, Po is the inicial value, r is the rate and t is the time.

In this case, we have that Po = 370 and r = 10% = 0.1, so our model is:

y = 370 * 1.1^t

To find the time when the number of cells will be 600, we just need to use y = 600 and then calculate for t:

600 = 370 * 1.1^t

1.1^t = 600/370

1.1^t = 1.6216

log(1.1^t) = log(1.6216)

t * log(1.1) = log(1.6216)

t * 0.0953 = 0.4834

t = 0.4834 / 0.0953 = 5.0724 hours

Answer:

B, E

Step-by-step explanation:

[tex]x^{2} +y^{2}=9[/tex]

[tex]\frac{x^{2} }{3^{2}} - \frac{y^{2} }{3^{2}} =1[/tex]

[tex]x^{2} =9-y^{2} \\\frac{x^{2} }{3^{2}} - \frac{y^{2} }{3^{2}} =1[/tex]

[tex]x^{2} =9-y^{2}[/tex]

[tex]\frac{9-y^{2} }{3^{2} } -\frac{y^{2} }{3^{2} }=1[/tex]

[tex]x^{2} =9-y^{2}[/tex]

[tex]\frac{1}{9} * (9-y^{2} )-\frac{y^{2} }{9} = 1[/tex]

[tex]x^{2} =9-y^{2}[/tex]

[tex]1-\frac{2y^{2} }{9} =1[/tex]

[tex]x^{2} =9-y^{2}[/tex]

[tex]-\frac{2y^{2} }{9} =0[/tex]

[tex]x^{2} =9-y^{2}[/tex]

[tex]y^{2} =0[/tex]

[tex]x^{2} =9-y^{2}\\y=0[/tex]

[tex]x^{2} =9\\y=0[/tex]

[tex]x=3 \\y=0\\\\or\\\\x=-3\\y=0[/tex]

Answer:

x = 121°

Step-by-step explanation:

The lower left interior angle of the triangle is adjacent to 115° and are supplementary, thus

interior angle = 180° - 115° = 65°

The angle round a point is 360°

The vertex interior angle = 360° - 304° = 56°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 65° + 56° = 121°

Answer:

12

Step-by-step explanation:

Take the right side of the box and subtract the left side of the box to get the interquartile range

85 - 73 = 12

I believe the answer is 2/5

Answer:

-6^4+8x^2-4

Step-by-step explanation:

(3a^2+1)(-2a^2-4)

3a square x -2a square= -6^4

3a square x 1= 3x square -2x^2 x -4=8x^2

3x square + 8x^2= 11x^2

-4 x 1 =-4