rewrite without absolute value for the given conditions:
y=|x-3|+|x+2|-|x-5|, if x>5

Question:

Jordyn, Teri, and Morgan are going to have a kite-flying contest. Jordyn and Teri each have one roll of kite string. They also each have 45 yards of extra string. Morgan has three rolls of kite string plus 10 yards of extra string. All the rolls of string are the same length. The girls want to see who can fly their kite the highest.

Since Jordyn and Teri have fewer rolls of kite string, they decide to tie their string together, so their kite can fly higher. Write at least two expressions to show how much kite string Jordyn and Teri have. Let x represent the number of yards of string on one roll.

Answer:

[tex]y=x +45[/tex]

[tex]y = 45 + x[/tex]

Step-by-step explanation:

From the complete question, we have:

Jordyn & Teri

[tex]Rolls = 1[/tex]

[tex]Extra = 45\ yd[/tex]

Morgan

[tex]Rolls = 3[/tex]

[tex]Extra= 10\ yd[/tex]

Required

Expression for Jordyn and Morgan

Let the total kite by Jordyn and Teri be represented with y

This is calculated as:

[tex]y = Rolls + Extra\ Yard[/tex]

This gives:

[tex]y = 1\ roll + 45yd[/tex]

1 roll is represented with x.

So:

[tex]y=1x +45[/tex]

[tex]y=x +45[/tex]

This can be rewritten as:

[tex]y = 45 + x[/tex]

Answer:

D

Step-by-step explanation:

Answer: ba

Step-by-step explanation:

The salesperson's total pay for the year is $68500

The given parameters are:

Base pay = $32,500

Commission = 8%

Total Sales = $450,000

The total pay is calculated as:

Total = Base pay + Commission * Total Sales

This gives

Total = $32,500 + 8% * $450,000

Evaluate

Total = $68500

Hence, the salesperson's total pay for the year is $68500

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Answer: A virus or trojan will appear because my cousin actually click on the link and downloaded it and it damaged her device so don't download it those are bots who tell you to click the file or something so don't download it or your computer will be damaged

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

You can find the common ratio by dividing each number in the sequence from the number before it so,

28/14= 2

56/28= 2

112/56= 2

Therefore, the common ratio is 2

Answer:

x=0, yes.

Step-by-step explanation:

3x+8=5x+8

5x-3x+8=8

2x+8=8

2x=8-8

2x=0

x=0/2

x=0

Answer: yes

Explanation: To decide whether 0 is a solution for

this equation, we can simply plug a 0 in for x.

If the statement holds true, then 0 is a solution.

Plugging in 0 for x, we have 3(0) + 8 = 5(0) + 8.

Now since anything times 0 is 0, we have 8 = 8.

Since 8 = 8 is a true statement, 0 is a solution.

Answer:

23

Step-by-step explanation:

First, open the brackets.

44 - (14/2) x 3

44 - 7 x 3

44 - 21

23

Answer:

$51.56

Step-by-step explanation:

Given data

We are given that

12 gallons of gas cost $37.50

Required

The cost of 16.5 gallons

If 12 gallons of gas cost 37.50

then 16.5 gallons will cost x

cross multiply

12x= 16.5*37.5

12x= 618.75

x= 618.75/12

x= $51.56

Hence 16.5 gallons will cost $51.56

Answer:

y=-2x-4

Step-by-step explanation:

y-y1=m(x-x1)

y-6=-2(x-(-5))

y-6=-2(x+5)

y=-2x-10+6

y=-2x-4

Answer: 80 is the number of cupcakes for which the profit is equal to 0

Step-by-step explanation:

The best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.

Profit is the amount which we earned after selling something at a price more than its cost price.

We have,

P(q) = -0.01 (q - 250) (q- 80)

Where,

P(q) = profit earned by a cupcake bakery  in dollars

q = cupcakes produced

So,

Now,

We have to find out the context of 80 in given equation,

So,

Lets substitute q = 80, in the given equation,

i.e.

P(q) = -0.01 (q - 250) (q- 80)

⇒

P(80) = -0.01 (80 - 250) (80- 80)

We get,

P(80) =  -0.01 (- 170) (0)

i.e.

P(80) = 0

So, 80 is a number of cupcakes for which the profit is equal to $0.

Hence, we can say that the best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.

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Answer:

x = 5

Step-by-step explanation:

The two rectangles are similar. What is

the length of x?

For the bigger rectangle

Length = 5

Width = 5

For the smaller rectangle

Length = x

Width = 5

We find x using Proportion

Width/Length

= 5/5 = 5/x

Cross Multiply

5x = 5 × 5

x = 25/5

x = 5

Answer:

An expected height of 160.6 centimeters when the femur has a length of 40 centimeters.

Step-by-step explanation:

The line of best fit makes a prediction. In other words, it tells us what height to expect for any given femur length.

x represents femur length and y represents height, so the y-value on the line when x=40x is the expected height when the femur length is 40 cm.

Using the Regression model given, the meaning of the expression is " the expected height of the individual with a femur length of 40 would be about 160 cm

Hence, the expected height of the individual with a femur length of 40 would be about 160 cm.

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Answer: The answer I got was A) 16

Step-by-step explanation:

Hope this helps!!!!

Answer:

22 bucks duh

Step-by-step explanation:

Answer:

The area would be 80

Answer:

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Answer:

x = 6 , z = 79

Step-by-step explanation:

(8x + 53) and (6x + 43) are adjacent angles and sum to 180° , that is

8x + 53 + 6x + 43 = 180 , that is

14x + 96 = 180 ( subtract 96 from both sides )

14x = 84 (divide both sides by 14 )

x = 6

Then

6x + 43 = 6(6) + 43 = 36 + 43 = 79

z and 79 are vertical angles and congruent , then

z = 79

Answer:

x = 6

z = 79

Step-by-step explanation:

We know that angles on a straight line add up to 180.

With this in mind:

For z:

Another approach using the property where opposite angles are equal:

Answer:

El ángulo lo representaremos por A

Su suplemento es 180-A

A=3(180-A)

A=540-3A

3A+A=540

4A=540

A=540/4

A=135°

Step-by-step explanation:

135=3(180-135)

135=3(45)

135=135

The measure of the angle is 135 degrees when the measure of an angle is three times the measure of its supplement.

Let's denote the measure of the angle as x.

The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. So, the measure of the supplement of the angle is 180 - x.

According to the given information, the measure of the angle is three times the measure of its supplement. Mathematically, we can express this as:

x = 3( 180 - x )

Now, let's solve this equation to find the measure of the angle:

x = 3( 180 - x )

x = 540 - 3x

4x = 540

x = 540 / 4

x = 135

Therefore, the measure of the angle is 135 degrees.

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The question is in Spanish question in English is :

If the measure of an angle is three times the measure of its supplement, what is the measure of the angle?

Answer:

IM LOST!!!!

Step-by-step explanation: IM LOST!!!!

Factor using the perfect square rule.

( 5 x  −  1 ) ^2

Answer:

we cant read the numbers cuz theyre too small

Answer:

a) 3 : 14

b) 4 : 15

c) 3: 4

d) 19 : 15

e) 53 : 25

Step-by-step explanation:

a)90 sec to 7min

We convert 7 mins to seconds

1 minute = 60 seconds

7 minutes = x seconds

Cross Multiply

x = 7 × 60 seconds = 420 seconds

Hence,

Our ratio is

90 seconds : 420 seconds

Divide both sit by 30

= 3 : 14

b)48min to 3hours

We convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x minutes

Cross Multiply

x = 3 × 60 minutes = 180 minutes

Hence,

Our ratio is

48 minutes : 180 minutes

Divide both sides by 12

4 : 15

c)2.5 days to 80hours.

We are converting 2.5 days to hours

1 day = 24 hours

2.5 days = x

Cross Multiply

x = 2.5 × 24 hours = 60 hours

Hence,our ratio

60 hours : 80 hours

Divide both sides by 20

3: 4

d)3 800mm to 3m

We convert 3 m to mm

1 m = 1000 mm

3 m = x mm

Cross Multiply

x mm = 3 × 1000 mm

x mm = 3000mm

Hence, ratio is

3800 mm : 3000mm

Divide both sides by 200

19 : 15

e)5300m to 2.5km​

We convert km to m

1 km = 1000 m

2.5 km = x m

Cross Multiply

x m = 2.5 × 1000m

x = 2500m

Hence, our ratio

5300m : 2500m

Divide both sides by 100

53 : 25

Answer:

i'm not sure if this is right, but this is what i got from a calculator. steps are shown in the pictures.

Step-by-step explanation:

Answer:

jsjshshshhsgdhshdhdhddhshggzggzgzhshsggggghzhgzgzgdgxgshdhdhgd

Step-by-step explanation:

h

Answer:

h

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

To find the side length of a square, you have to divide the perimeter by 4 (since a square has 4 sides). 28 divided by 4 is 7 and 20 divided by 4 is 5. to find the area of each square, you have to multiply each side length by two. 7 times 7 is 49 and 5 times 5 is 25. 49 minus 25 is 24.

Answer:

no

Step-by-step explanation:

Answer:

wow that is so cool how do you do that

Step-by-step explanation:

Answer:

He paid $6.54 for each ball