A map of Pennsylvania has a scale of ¾ inch to 25 miles. If Pittsburgh and Philadelphia are 9 inches apart on the map, how many miles apart are the two cities? Please help due today
Explanation please

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Answer:

  a. 2x +y = 10; 2x +3y = 22

  b. 6 minutes

Step-by-step explanation:

a) The problem statement tells you that ...

  x = minutes around the block

  y = minutes around the park

  2x +y = 10 . . . . twice around the block and once around the park: 10 min

  2x +3y = 22 . . . twice around the block and 3 times around the park: 22 min

__

b) Subtracting the first equation from the second gives ...

  (2x +3y) -(2x +y) = (22) -(10)

  2y = 12 . . . . . . . . simplify

  y = 6 . . . . . . . . . divide by 2

It takes you 6 minutes to jog around the park.

Answer:

Part A) The system of equations is

[tex]2x+y=10[/tex]

[tex]2x+3y=22[/tex]

Part B) The number of minutes it takes you to jog around the park is [tex]6[/tex] mins

Explanation:

Part A) Write a system of linear equations

Let [tex]x[/tex] ----> the number of minutes it takes you to jog around the block

Let [tex]y[/tex] ----> the number of minutes it takes you to jog around the park

we know that [tex]2x+y=10[/tex] ----> equation A

and [tex]2x+3y=22[/tex] ----> equation B

Part B) How long does it take you to jog around the park?

Multiply equation A by [tex]-1[/tex] both sides

[tex]-1(2x+y)=-10[/tex] ----> [tex]-2x-y=-10[/tex] ----> equation C

Adds equation B and equation C

[tex]2x+3y=22[/tex]

[tex]-2x-y=-10[/tex]

____________

[tex]3y-y=22-10[/tex]

[tex]2y=12[/tex]

[tex]y=6[/tex] minutes

Find the value of [tex]x[/tex]

[tex]2x+(6)=10[/tex]

[tex]2x=10-6[/tex]

[tex]x=4/2=2[/tex] minutes

Credit:

(This answer was originally made by calculista. All credit goes to them.)

Answer:

percentage cost of airfare change= (difference in cost / original cost )×100

% age = (250-180/ 250) ×100

=70/250 ×100

7000/250

= 28%

Answer:

a=3, b=3, c=5, d=2

Step-by-step explanation:

prime factorization of 600: [tex]2^{3}[/tex] × 3 × [tex]5^{2}[/tex]

Answer:

1: B

2: C

(I need 20 characters so bla bla bla bla bla bla bla)

Step-by-step explanation:

the length of PQ =

√(-7-5)²+(6+4)²

=√(-12)²+(10)²

= √144+100

=√244

= 15.6 units (D)

Answer:

option number 2

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Here's the Solution :

Using Trigonometry,

Answer:

Step-by-step explanation:

2/5 và -1/2

Number of pennies in piggy bank will be 35.

Number of quarters in piggy bank will be 10.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Total cost in piggy bank with pennies and quarters = $2.85

And, The number of pennies is 5 more than three times the number of quarters.

Let Number of quarters = x

And, Number of pennies = y

                                       = 5 + 3x

Since, Total cost in piggy bank with pennies and quarters = $2.85

So, we can formulate;

0.25x + 0.01y = $2.85

Substitute the value of y as;

0.25x + 0.01(5 + 3x) = 2.85

0.25x + 0.05 + 0.03x = 2.85

0.28x + 0.05 = 2.85

x = 10

And, y = 5 + 3x = 5 + 3 × 10 = 35

Thus,

Number of pennies in piggy bank will be 35.

Number of quarters in piggy bank will be 10.

Learn more about the linear expression visit:

https://brainly.com/question/28718030

#SPJ2

Answer:

5 pounds and 8 ounces of seed per one acre.

Step-by-step explanation:

We have our two values, 44 pounds and 8 acres.

It also says it takes 44 pounds of seed for every 8 acres of farmland.

So to get the value of how much seed per one acre we need, we divide 44 by 8.

Doing so yields us 5.5 pounds, which can be converted to 5 pounds and 8 ounces. (remember 16 ounces is 1 pound)

1) 0.0 + 5.5 = 5.5

2) 5.5 + 5.5 = 11.0

3) 11.0 + 5.5 = 16.5

4) 16.5 + 5.5 = 22.0

5) 22.0 + 5.5 = 27.5

6) 27.5 + 5.5 = 33.0

7) 33.0 + 5.5 = 38.5

8) 38.5 + 5.5 = 44.0

Answer:

57.1 sq in

Step-by-step explanation:

Answer:

Area = [tex]57.1cm^{2}[/tex]

Step-by-step explanation:

[tex]\frac{(10cm)(12cm)sin(72)}{2}[/tex]

= 57.1cm^2

Step-by-step explanation:

the distance between the points (1, 4) and (-5, -4) on the coordinate plane =

√(-5-1)² + (-4-4)²

=√(-6)²+(-8)²

=√36+64

=√100

= 10 units

Answer:

Without any answers, I can't give you information. But if the numbers in the list would be able to be divided by 3, resulting in a whole number - no fractions or decimals - then it's considered a multiple of 3.

Step-by-step explanation:

Answer:

$1666.67

Step-by-step explanation:

$450 is the total amount she earned and $200 is the weekly wage she received. That means that $250 came from tips.

$200 + .15 (x) = 450

.15x=250

x=$1666.67

Answer:

(8(-1)+2>-6

-8+2>-6

-6>-6

Step-by-step explanation:

Answer:

2d=180based on the 3d parallel =to 0xyc⁶=12(0)

Answer:

38-2(5) = 28

So the temperature would be 28 degrees celsius

Answer: Teperature at 5PM will be 28°C

Ok so at 12 its 38°C

And it dcreases at 2°C an hour, we need to find the teperature at 5 o clock.

The number of hours between 12 and 5 mutiplied by 2 will give us the trail in temperature and then subtracting the trail i temperature witht the temperature a 12 will give us the teperature at 5 o clock.

SO,

hours between 12 PM and 5 PM is 5 hours

As, the temperature decreases at a uniform rate of 2°c per hour

⇒5×2°C

⇒10°C

Now the temperature at 5 PM will be 38°C-10°C=28°C

Answer:

-2, -1 ,2 ,2 ,2.22.25 that's the answer

Answer:

1.2 or 1.22 (Doesn't matter)

Step-by-step explanation:

Answer: So group 3 of 16 contains 2 are boys . Means 16 +16 are tow groups are of boys. Then remaining 16 are girls. It completed the all conditions. 2/3 class retio. Total 48 students and 16 girls.

Step-by-step explanation:

Hope this helps!

Answer:

i have no idea 5

Step-by-step explanation:

i need help too please help

Answer: B.no

Step-by-step explanation:

To figure this out, plug (1, -4) into the equation y=-2x. 1 is the x value, so we plug it into the x. -4 is the y value, so we plug it into the y spot. In the end we get -4=-2(1). Is this true? No, it isn't. Therefore it is not an answer

Step-by-step explanation:

Y=4(5)-9

=11

you must follow the formula given

Answer:

y=11

Step-by-step explanation:

y=mx-b

mx-b=y

4 * 5 - 9 = y

20 - 9 = y

11 = y

Answer:

5x = 10. Dividing each side of 5x = 10 by 5 gives x = 2. ... Choices B, C, and D are incorrect and may result from errors in applying the.

Step-by-step explanation:

Answer: x=√10 or x=−√10

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

she multiplied 6x24, got 144 and said 1/144