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Course 2: FL 2015 > Chapter 2: Subtracting Rational Numbers > Section Exercises 2.3 Exercise 23
A new road that connects Uniontown to Springville is 4 miles long. What is the change in distance when us
number
Springville
new road
Uniontown
23
mi

Answers

Answer 1

Answer:

19 miles

Step-by-step explanation:

Length of new road - Length of old road = Change in length = 23 - 4 = 19


Related Questions

A square with sides of length eight units, sits on a graph with its lower left hand corner at the origin (0,0). This square is translated five units up, and seven units left. What are the coordinates of the ​upper right hand corner after translation? Explain.


PLEASE HELP ME ON THIS QUESTION. I don’t understand. Only answer if you know because you will receive consequences with monitor.

Answers

Answer:

The coordinates of the upper right hand corner after translation is (1, 13)

Step-by-step explanation:

Let us revise the rules of translation

If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y) ⇒ T (x , y) → (x + h , y) If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y) ⇒ T (x , y) → (x - h , y) If the point (x , y) translated vertically up by k units then its image is (x , y + k)→ (x + h , y) ⇒ T (x , y) → (x , y + k) If the point (x , y) translated vertically down by k units then its image is (x , y - k) ⇒ T (x , y) → (x , y - k)

At first let us find the upper right hand corner of the square

∵ Its lower left hand corner at the origin (0,0)

∵ The length of each side of the square is 8 units

→ To find lower right hand corner add 8 to the x-coordinate of the

   lower left hand corner

∴ The lower right hand corner = (0 + 8, 0)

∴ The lower right hand corner = (8, 0)

→ To find upper right hand corner add 8 to the y-coordinate of the

   lower right hand corner

∴ The upper right hand corner = (8, 0 + 8)

The upper right hand corner = (8, 8)

Now Let us find the image of this corner after translation

∵ This square is translated five units up

→ Use the 3rd rule above

∴ Add 5 to the y-coordinate of the point (8, 8)

∴ Its image = (8, 8 + 5)

∴ Its image = (8, 13)

∵ The square is translated seven units left

→ Use the 2nd rule above

∴ Subtract 7 from the x-coordinate of the point (8, 13)

∴ Its image = (8 - 7, 13)

∴ Its image = (1, 13)

The coordinates of the upper right hand corner after translation is (1, 13)

Six potted plants cost $48, at this rate what is the cost per plant?

Answers

Answer:

cost per plant is 8 dollars

Step-by-step explanation:

48÷6=8

8×6=48

Answer:

Step-by-step explanation:

Cost of six potted plants = $ 48

Cost of one potted plant = 48 ÷ 6

                                         = $ 8

The data in the table were recorded during an investigation in which a paramecium was placed in a hypertonic salt solution.

A 2-column table labeled Paramecium Contractile Vacuole Contractions has 5 rows. The first column is labeled salt concentration outside paramecium with entries very high, high, medium, low, very low. The second column is labeled contractions per minute with entries 2, 8, 15, 22, 30.

Which statement correctly describes the bars on a bar graph representing the data?

Answers

Answer:

B. Line graph

Step-by-step explanation:

got it right on edge :) have a nice day!!

Sara pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. One pound of oranges costs $0.75 more than one pound of bananas. Let b represent the price per pound of bananas. What equation represents the situation, and what is the price per pound of each fruit?

Answers

The price of one pound of banana = b

As one pound of oranges costs $0.75 more than one pound of bananas, so, the price of one pound of orange = b+0.75.

The price of 3 pounds of banana = 3b,

and the price of 2 pounds of oranges = 2(b+0.75).

Now, as she pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.

So, for this situation the required equation is

3b + 2(b+0.75) =4.5

On solving this equation, we have

[tex]\Rightarrow 3b+2b+2\times0.75=4.5[/tex]

[tex]\Rightarrow 5b +1.5=4.5[/tex]

[tex]\Rightarrow 5b =4.5-1.5=3[/tex]

[tex]\Rightarrow b =\frac 3 5=0.6[/tex]

Hence, the price of one pound of banana = $ 0.60

and the price of one pound of orange

=b+0.75= 0.60+0.75=$1.35.

12 5/8 in decimal form

Answers

The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00 per hour. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00 per hour.

Choose a function to represent this scenario

Answer:

12.625

Step-by-step explanation:

12 is a whole so it would go before the decimal point.

5/8 or 5 divided by 8 is equal to 0.625.

12 + 0.625 = 12.625

What is the measure of ∠RQS ?
What is the measure of ∠RQT ?
What is the measure of ∠RQV ?
What is the measure of ∠UQV ?

Answers

Answer:

∠RQS = 19°

∠RQT = 90°

∠RQV = 161°

∠UQV = 91°

Step-by-step explanation:

To get ∠RQV, you know that the line is equal to 180°, so subtract 19° from it:

∠RQV = 180 - 19

∠RQV = 161°

To get ∠UQV, you know that the line is equal to 180°, so subtract 71° and 18° from it:

∠UQV = 180 - 71 - 18

∠UQV = 91°

Hope this helps!

HELP PLEASE ASAP Which of the following is an irrational number?
21
14
49
60
23

Answers

Answer:

I think it's 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

its 14 because it can be expressed as the quotient of two integers: 14÷ 1

the temperature in Chicago is 38 digresses it is 40 colder in north Dakota what is the temperature in north Dakota

Answers

Answer:

It would -2 degrees in North Dakota.

Step-by-step explanation:

Subtract 40 from 38 to get to -2.

Which set of points is a function i will give brainliest if correct♡︎シ☀︎︎

Answers

Answer:

C

Step-by-step explanation:

i think it's C hope this helps you

Answer:

B

Step-by-step explanation:

i think.( am i correct?)

It takes Aaron 5 minutes to squeeze the juice from 3 grapefruits. At this rate, how many minutes will it take him to squeeze the juice from 12 grapefruits?

Answers

20 minutes because 12/3=4 and 4x5=20

3x−8≤23 AND −4x+26≥63,

Answers

How you want this solved?
I wrote the answer out for you.

In a standard (x,y) coordinate plane, point M is located at (-4 1/2, 18 1/3) and N is located at (-4 1/2, -2 2/3.) Find the length of segment NM.

Answers

Answer:

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

[tex] \frac{55}{3} + \frac{8}{3} = \frac{63}{3} [/tex]

[tex] \sqrt{ {0}^{2} + \frac{ {63}^{2} }{3} } = \sqrt{ \frac{3969}{9} } = \frac{63}{3} [/tex]

this is the

1890s was rounded to the nearest 10 what is the upper bound ​

Answers

Answer:

When rounding to the nearest ten, like we did with 1890 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Step-by-step explanation:

9 is 10 times the value of the 9 in 329,513
2 is 110 the value of the 2 in 7,562
6 is 110 the value of the 6 in 4.68

Answers

Answer:

498,173.26.

Step-by-step explanation:

The place value of 9 in the number 3, 29,513 = 9000

In the required number,

Place value of 9 is 10 times of the value of 9 in 329, 513 = 9000 * 10 = 90,000

The value of 2 is one-tenth of 2 in 7562 = 2/10 = 0.2

The value of 6 is one-tenth value of 6 in 4.68 = 0.60/10 = 0.06

Thus, the required number would be 498,173.26 as the other numbers do not justify the above conditions of having 9 at ten thousand place, 2 at tenth, and 6 in hundredth place.

17. A team won 16 and lost 4 of its.games. What percent of all of its games did
the team win?
(a) 40%
(b) 80%
(c) 75%
(d) 40%
(e) none of these
Please show the work

Answers

Answer: 80%

Step-by-step explanation

4 out of 20 equals 20%

16 out of 20 equals 80%

Using these clues, make a quadilateral. Write the name and each side. What is the perimeter?
1. rectangle with sides 7 feet
2. 7feet
3. 10 feet
4. 10feet

Answers

The name of my shape is a parallelogram. The sides are:

7 feet7 feet10 feet10 feet

The perimeter is 34 feet because:

Step 1: Add smaller groups.

10 + 10 = 20

7 + 7 = 14.

Step 2: Add the two numbers.

14 + 20 = 34.

Hope this answer helps you!

How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.

Answers

Answer:

10

BEEP

BPEE

BEPE

EEPB

EEBP

EBEP

EPEB

PBEE

PEEB

PEBE

Answer:

12

Step-by-step explanation:

4! is 4*3*2*1

since there were 4 letters 4 could be chosen at the first letter

since one of the letters were chosen only 3 could be chosen as the second letter

and then it is 2 because there are 2 letters left

and 1 because there is only 1 letter left

so 4!

Then you divide by 2 because the 2 es are indistinguishable

The number of animals at the is shown in the table. Write a ratio to represent giraffes to otters.

Answers

Answer:

The ratio of giraffes to otters is 8:16. If simplified it's 1:2

Step-by-step explanation:

What is the equation of the line that is parallel to the line y = 2x + 6 and goes through point C (8, 1)?

Answers

Answer:

y=2x-15

Step-by-step explanation:

In parallel lines the gradient is always the same. then we sub the coordinates in to find c.

so

1=2(8)+c

c equals to -15 t

then

y=2x-15

Mrs. Lowry drove 20 miles in 25 hour. What is Mrs. Lowry’s speed in miles per hour?

Answers

Answer:

Mrs. Lowry is driving 0.8 mph.

Step-by-step explanation:

If she is going 20 miles per 25 hours you would set up the problem as 20/25 or 20 ÷ 25. This is because you need to get down to how many miles she is traveling per 1 hour. So, 20 ÷ 25 = 0.8. Therefore she is going 0.8 miles per 1 hr.


10. Separate the number 38 into two parts so
that one number is 6 less than the other
number

Answers

Answer:

16, 22

Step-by-step explanation:

x+x+6=38

2x+6=38

2x=32

x=16

One number is 16, Another number is 22

16+22=38

22-16=6

Which of the following shows the greatest percent increase?

A. 50 increased to 75
B. 500 increased to 700
C. 5,000 increased to 7,000
D. 50,000 increased to 74,000

Answers

50 increased to 75 (option A) shows the greatest percent increase.

How to solve for percentage increase?

To determine which of the given options shows the greatest percent increase, we can calculate the percent increase for each option using the following formula:

percent increase = (new value - old value) / old value x 100%

Using this formula, we can calculate the percent increase for each option as follows:

A. percent increase = (75 - 50) / 50 x 100% = 50%

B. percent increase = (700 - 500) / 500 x 100% = 40%

C. percent increase = (7,000 - 5,000) / 5,000 x 100% = 40%

D. percent increase = (74,000 - 50,000) / 50,000 x 100% = 48%

Therefore, the option that shows the greatest percent increase is option A, which increased from 40 to 75, a percent increase of 50%.

Learn about percentage increase here https://brainly.com/question/11360390

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*EXTRA POINTS PLEASE ANSWER* What is the slope and y-intercept in the equation y = x - 4. *

Answers

Answer:

slope: 1

y-intercept : (0, -4)

Step-by-step explanation:

hope this helps! :D

Answer:

x-intercept(s): (4,0)

y-intercept(s): (0,-4)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

Fun fact
During your lifetime, you will produce enough saliva to fill two swimming pools ‍♀️

credit to savannal2250 for the fact

Answers

Answer: wow

               I'd want nothing more than to swim in a pool of saliva.

Can someone please answer my math question:(

Answers

Answer:

were is the pic I cant answer lik

helppp pleaseee
Consider the functions below.

f(x) = x
g(x) = 3x

Which of the following statements describes the graph of function g?

The graph of g is 3 times steeper than the graph of f.
The graph of g is 3 units to right of the graph of f.
The graph of g is 3 units to left of the graph of f.
The graph of g is times as steep as the graph of f.

Answers

Answer:

The graph of g is 3 times steeper than the graph of f.

Step-by-step explanation:

I just did it and got it right

Answer:

The graph of g is 3 times steeper than the graph of f.

Step-by-step explanation:

The coffee shop also sells small bag of coffee beans. the bags come in two 4/5 kilogram and 7/12 kilogram. How much more coffee does the bigger bag have?

Answers

I believe it is 13/60

First, you would make them have common denominators
4/5 (12/12) is 48/60
7/12 (5/55 is 35/60
Second, you want to find the difference
48-35=13
So from that, I would assume that the difference between the two is 13/60

The bigger bag have 13/60 kilogram more coffee.

What is fraction?

A fraction is defined as numerical representation for part of a whole which represents a rational number.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given that the bags come in two 4/5 kilogram and 7/12 kilogram

⇒ 4/5

⇒ 7/12

We will first establish that there has a comparable denominator.

Multiply by (12/12) in the fraction 4/5

⇒ 4/5 (12/12)

⇒ 48/60

Multiply by (5/5) in the fraction 7/12

⇒ 7/12 (5/5)

⇒ 35/60

Determine the difference between fractions as :

⇒ 48/60 - 35/60

13/60 kilogram

Hence, the bigger bag have 13/60 kilogram more coffee.

Learn more about fraction here:

brainly.com/question/10354322

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1 3/4 cups of flour per 1/8 cup of milk

Answers

Answer:

14

Step-by-step explanation:

Divide them.

14. You have to divide them.

Describe the transformation
A) reflection across the y-axis
B) reflection across the x-axis
C) translation 4 units to the right
D) reflection across the line y=x

Answers

Option A is correct answer, reflection across y axis

Answer:

A

Step-by-step explanation:

9/25 plz help me on math i need to pass

Answers

Answer:

1) x=2

2) n=0

3) x=-7

4) a=0

5) m=-1

6) p=1

7) p=-6

8) r=3

9) x=-4

10) x=0

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