Quesheip Use the number line below, where RS = 6y +2, ST=5y + 9, and RT= 13y - 1 a What is the value of y? b Find RS, ST, and RT. R S T a. What is the value of y? y=Type an integer or a decimal.)

Answers

Answer 1

Answer:

[tex]y = 6[/tex]

[tex]RS = 38[/tex]

[tex]ST = 39[/tex]

[tex]RT = 77[/tex]

Step-by-step explanation:

Given:

[tex]RS = 6y +2[/tex]

[tex]ST=5y + 9[/tex]

[tex]RT= 13y - 1[/tex]

Solving (a): The value of y

From the given parameters, we understand that

[tex]RT = RS + ST[/tex]

Substitute values for RS, ST and RT

[tex]13y - 1 = 6y + 2 + 5y + 9[/tex]

Collect Like Terms

[tex]13y - 6y - 5y = 1 + 2 + 9[/tex]

[tex]2y = 12[/tex]

Divide both sides by 2

[tex]y = \frac{12}{2}[/tex]

[tex]y = 6[/tex]

Solving (b):

The value of RS

Substitute 6 for y in [tex]RS = 6y +2[/tex]

[tex]RS = 6 * 6 + 2[/tex]

[tex]RS = 36 + 2[/tex]

[tex]RS = 38[/tex]

The value of ST

Substitute 6 for y in [tex]ST=5y + 9[/tex]

[tex]ST = 5 * 6 + 9[/tex]

[tex]ST = 30 + 9[/tex]

[tex]ST = 39[/tex]

The value of ST

Substitute 6 for y in [tex]RT= 13y - 1[/tex]

[tex]RT = 13 * 6 - 1[/tex]

[tex]RT = 78 - 1[/tex]

[tex]RT = 77[/tex]

Answer 2

Answer:

Guy who answered first is wrong it’s 5 not 6

Step-by-step explanation:


Related Questions

Find the distance of each segment AB and CD. You may leave in radical form. A (3, 4) B(1, 0) and C (-1, 2) D (-2, 5)

Answers

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AB

[tex]\sqrt{(1-3)^2+(0-4)^2}[/tex]

[tex]\sqrt{4+16}[/tex]

[tex]\sqrt{20}[/tex]

[tex]2\sqrt5[/tex]

CD

[tex]\sqrt{(-2-(-1))^2+(5-2)^2}[/tex]

[tex]\sqrt{1+9[/tex]

[tex]\sqrt{10}[/tex]

Hope this helps.

頑張って!

Answer:

Step-by-step explanation:

se the graph to determine the input values that

correspond with f(x) = 1.

O x=4

O x= 1 and x = 4

O x= -7 and x = 4

O x= -7 and x = 2

6.

(-6, 4)

4

(1,4) w

2

(-7, 1)

(2, 1) x w

2

4

-8/ -6 -4 -2 e

-2

-4thrrt

6) A demand curve for a product is the number of items the consumer will buy at different prices. At a price of $2 a store can sell 2400 of a particular type of toy truck. At a price of $8 the store can sell 600 such trucks. If x represents the price of trucks and y the number of items sold, write an equation for the demand curve.

Answers

Given :

When price is $2 dollars he sells 2400 units .

When price is $8 dollars he sells 600 units .

To Find :

If x represents the price of trucks and y the number of items sold, write an equation for the demand curve.

Solution :

Two points are given :

[tex](x_1,y_1)=(2,2400)[/tex]

[tex](x_2,y_2)=(8,600)[/tex]

Now , slope is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{2400-600}{2-8}\\\\m=\dfrac{-1800}{6}\\\\m=-300[/tex]

Now , the equation of line containing these two points and slope -300 is :

[tex](y-y_1)=m(x-x_1)\\\\y-600=-300(x-8)\\\\y=-300x+2400+600\\\\y=-300x+3000[/tex]

Therefore , equation for the demand curve is [tex]y = -300x +3000[/tex] .

Hence , this is the required solution .

F(t)+-2t^2+5t, [1,6] What could this function model be used in real life?

Answers

Explanation:

It might represent the relative position of an object that has some initial velocity and constant acceleration. For whatever reason, the time period of interest is 1 to 6 seconds.

Find the value of the following problems (a) 5 cube 3

Answers

Answer:

125

Step-by-step explanation:

5^3 = 5 × 5 × 5 = 125

Write an expression equivalent to 6x+3y-4x+2

Answers

Answer:

10x+3y+2

Step-by-step explanation:

A car of m = 1200. kg collides with a tree while traveling 60.0 mph. The collision occurs over a time period of 0.0500 seconds. Determine the magnitude of the force exerted on the car as it comes to rest during the collision. (1 m/s = 2.24 mph) 1.58 × 10 3N 1.44 × 10 6N 3.60 × 10 3N 6.4331 × 10 5N

Answers

Answer:

6.4331 × 10 5N

Step-by-step explanation:

Given the following :

Mass (m) of car = 1200kg

Initial Velocity (u) of car = 60 mph

Final velocity = 0 ( comes to rest)

Velocity in m/s = 60 / 2.24 = 26.785 m/s

Time (t) = 0.0500

Using the relation :

Ft = m(v - u)

Where,

v = final velocity ; u = initial velocity ; t = time ; F = force

F*0.05 = 1200(26.785 - 0)

0.05F = 32142.86 - 0

F = 32142.86 / 0.05

F = 642857.14 N

F = 6.43 × 10^5 N

An object travels 8 miles in 20 minutes at a constant speed. What is the object's speed in miles per hour

Answers

Answer:

24miles/hour

Step-by-step explanation:

Speed is the change in distance of a body with respect to time.

Speed = Distance/tIme

Given parameters

Distance = 8miles

TIME = 20minutes

Convert minutes to hour

since 60minutes = 1hr

20 min = x

cross multiply

20 = 60x

x = 20/60

x = 1/3

Hence 20mins = 1/3 hr

Speed = 8miles/(1/3)hr

speed = 8 miles * 3/1 hr

speed = 24 miles/hr

Hence the object's speed in miles per hour is 24miles/hour

The object's speed in miles per hour is 24 miles per hour.

Distance = 8 miles

Time = 20 minutes = 20/60 = 1/3 hour

The speed of an object is calculated as:

= Distance / Time

= 8 ÷ 1/3

= 8 × 3

= 24

In conclusion, the object's speed in miles per hour is 24 miles per hour.

Read related link on:

https://brainly.com/question/24720712

there are 800 seats in the varsity theater. during regular preformances, all seats cost $12 each. It costs the owner $275 to pay his preformers for each show. a: write an expression that could predict the owners profit if "n" people buy tickets for a preformance b: if the profit is $1,213, how many people attend? c: If the same number of people attended but the owner's expenses changed to $375, would the profit increase or decrease and by how much?

Answers

Answer:

The correct answers are the following:

A) P=12n-275

B) 124

C) Decrease by $100

Step-by-step explanation:

A) P=12n-275 - Each person (n) pays $12, then the cost/expense ($275) is subtracted from the income to get the profit.

B) 1,213=12n-275  - Plug in the value for P ($1,213).

1,488=12n  - Add $275 to both sides.

124=n  - Divide both sides by $12.

n=124 - This the number (n) of people that attended.

C) P=12n-375 - Change the value for expense to $375.

P=12(124)-375  - Plug in the value for n (124).

P=1488-375  - Simplify and find the difference.

P=1,113 - This is your profit.

1,113-1,213=-100 - $100 reduction/decrease of profit (or -$100 to profit)

Hope this helps!

Point L is on line segment KM. Given LM = 3x + 3,
KM = 5x + 4, and
KL = 5x + 1, determine the numerical length of KM.

Answer: KM =

Answers

Answer:

KM = 4

Step-by-step explanation:

[tex] LM = 3x + 3 [/tex]

[tex] KM = 5x + 4 [/tex]

[tex] KL = 5x + 1 [/tex]

[tex] KL + LM = KM [/tex] (segment addition postulate)

[tex] (5x + 1) + (3x + 3) = 5x + 4 [/tex] (substitution)

Solve for x

[tex] 5x + 1 + 3x + 3 = 5x + 4 [/tex]

Combine like terms

[tex] 8x + 4 = 5x + 4 [/tex]

[tex] 8x + 4 - 4 = 5x + 4 - 4 [/tex]

[tex] 8x = 5x + 0 [/tex]

[tex] 8x - 5x = 0 [/tex]

[tex] 3x = 0 [/tex]

[tex] x = 0 [/tex]

[tex] KM = 5x + 4 [/tex]

Plug in the value of x

[tex] KM = 5(0) + 4 [/tex]

[tex] KM = 0 + 4 = 4 [/tex]

What percent is represented by the shaded area?

Answers

Answer:

6%

Step-by-step explanation:

ok so count theres 6 squares filled out of 100 (10 by 10 squares)

fraction: 6/100

this is easy because its out of 100.  

a percent basically means out of 100 so boom.

6%

Answer:

6%

Step-by-step explanation:

6×100÷100

Lin spent 80 minutes doing homework on Monday. Each day from Tuesday
through Friday, Lin spent half as much time doing homework as the day before.
How much total time did Lin spend doing homework, from Monday through
Friday? Explain how you know. *

Answers

Answer:

240 minutes

Step-by-step explanation:

Half of 80 is 40. So multiply 40 by 4 which is 160 minutes then add the 80 which equals 240 minutes

Overall 240 minutes Lin spend doing homework from monday to friday.

What is an expression?

Expression in mathematical is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Since Lin spent 80 minutes on monday doing homework and from tuesday to friday he is doing half the work before which means he will be doing in 40 mintues now for 4 days that is from tuesday to friday.

Now overall time in mintues he spend on homework will be sum of mintues spent on monday and mintues spent from tuesday to friday :

overall = 80 + 40x4

           = 240 minutes

Therefore, overall 240 minutes Lin spend doing homework from monday to friday.

Read more about property of multiplication here :

https://brainly.com/question/14391436

#SPJ2

Help this is all I was given 7*f(5)=

Answers

Simplifying
7f(5) = 0

Reorder the terms for easier multiplication:
7 * 5f = 0

Multiply 7 * 5
35f = 0

Solving
35f = 0

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by '35'.
f = 0

Simplifying
f = 0

find the base of isolation triangle whose area is 60 CM square and length of one of its equal side is 13 cm​

Answers

Answer:

base = 10 cm

Step-by-step explanation:

The height from the vertex is a perpendicular bisector of the isosceles Δ

This line divides the triangle into 2 right triangles with hypotenuse 13

Thus each right triangle is a 5- 12- 13 with legs 5 and 12

The height is 12 cm and the base 5 cm

Then the base of the isosceles Δ = 2 × 5 cm = 10 cm

Note Area = 0.5 × 10 × 12 = 60 cm²

Which describes how a person most likely uses latitude and longitude lines? ​

Answers

A person most likely uses latitude and longitude lines to find an ocean or somewhere they are looking for
a person uses longitude and latitude likes in architecture.

five number are in the ratio 1:2:3:4:5 and the sum is 585.find the numbers​

Answers

Answer:

39, 78, 117, 156 and 195.

Step-by-step explanation:

If the lowest number is x then we can write the numbers as:

x, 2x, 3x, 4x and 5x, so:

x + 2x + 3x +  4x +  5x = 585

15x = 585

x = 39.

So the second number is 39 * 2 = 78

So all numbers are 39, 78, 117, 156 and 195.

A 5 1/2 foot by 12 foot concrete wall is to be built using concrete blocks. What is the area of the wall

Answers

Answer:

66 feet

Step-by-step explanation:

5 1/2 times 12

Question 1 Determine if graph shows two quantities that are proportional to each other. A Proportional B Non-Proportional Why or why not?

Answers

it is not proportional because the line does not go straight from the origin. The origin is 0 and 0 in the bottom corner

You are helping your dad build a rectangular dog park. The length of the dog park feet can be represented by
8x + 2 and the width in feet can be represented by 2x - 12. If your dad bought 160 feet of fencing
(perimeter), what is the length of the dog park?

Answers

Answer:

The length of the dog park is 74 feet.

Step-by-step explanation:

Given that,

Length of park = (8x+2)..(I)

Width of park = (2x-12)...(II)

Perimeter = 160 feet

We need to calculate the value of x

Using formula of perimeter of rectangular park

[tex]P=2(l+w)[/tex]

Where, l = length

w = width

Put the value into the formula

[tex]160=2(8x+2+2x-12)[/tex]

[tex]160=20x-20[/tex]

[tex]x=\dfrac{160+20}{20}[/tex]

[tex]x=9[/tex]

We need to calculate the length of the dog park

Using equation (I)

[tex]l=8x+2[/tex]

Put the value of x

[tex]l=8\times9+2[/tex]

[tex]l=74\ feet[/tex]

Hence, The length of the dog park is 74 feet.

motor de un Drone que tiene una potencia de de 25W. 1- ¿Cuál será la tensión de trabajo de dicho motor si tiene un consumo de 1,5A? 2- ¿Cuál será la resistencia que tenga dicho motor?

Answers

Step-by-step explanation:

Drone motor that has a power of 25W. 1- What will be the working voltage of said motor if it has a consumption of 1.5A? 2- What will be the resistance of said motor?

Power of drone motor is 25 W

Current flowing through the motor is 1.5 A

Power of an electrical appliance is given by :

P = VI

V = working voltage of the motor

[tex]V=\dfrac{P}{I}\\\\V=\dfrac{25}{1.5}\\\\V=16.67\ V[/tex]

Voltage of the motor is 16.67 volts

Let R is the resistance of the motor. Using Ohm's law to find it as follows :

V=IR

[tex]R=\dfrac{V}{I}\\\\R=\dfrac{16.67}{1.5}\\\\R=11.113\ \Omega[/tex]

Hence, this is the required solution.

A football team lost 2 yards every 5 minutes. Write the integer that represents how many yards the team lost after 15 minutes

Answers

Answer:

the answer is in the picture

Step-by-step explanation:

Hello There!! I need help in this question...Use the interactive graph to plot each set of points. Which sets represent proportional relationships? Check all that apply. Use the interactive graph to plot each set of points. Which sets represent proportional relationships? Check all that apply. (3, 1), (6, 2), (9, 3) (2, 4), (4, 6), (7, 9) (1.5, 3), (3, 6), (4, 8) (3, 1), (4, 3), (8, 6) Plus, please make a explained to. And, do not guess to this...

Answers

Answer:

A- (3, 1), (6, 2), (9, 3) and C- (1.5, 3), (3, 6), (4, 8) are Correct

Step-by-step explanation:

Need help pppppppppplz

Answers

Answer:

83%

Step-by-step explanation:

The fraction shown is 5/6.

5/6= 0.83333333

0.83333333= 83%

Could -2 be used as a base to rewrite 32?
engage"
Select one:
OYes
ONO
Submit Answer

Answers

Answer:

No

Step-by-step explanation:

Paul takes a random sample of 50 students in his seventh-grade class and finds that 20 of the students in the sample prefer chocolate ice cream over vanilla ice cream. There are 200 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer chocolate ice cream over vanilla ice cream? 40 80 50 200 I am confused. Please explain a step by step explanation

Answers

Answer:

80 students.

Step-by-step explanation:

Since there were 50 students, and 20 students wanted the chocolate icecream, that makes a proportion of 2/5. Then, there are 200 students in this whole seventh grade, and imagine that they have the same proportion of the 50 students. So, you should do 2/5 × 200, and the answer is 80.

I hope this helps you! ;)

During break 125 students went to canteen to purchase cake and ice-cream. If 80 students purchased cake, 57 purchased ice-creams, find the number of students who purchased both.41.​

Answers

Answer:  12

Step-by-step explanation:

Total = Cake + Ice Cream - Both

125 = 80 + 57 - Both

125 = 137 - Both

-12 = -Both

12 = Both

Answer:

Step-by-step explanation:

Total = Cake + Ice Cream - Both

125 = 80 + 57 - Both

125 = 137 - Both

-12 = -Both

12 = Both

Subtract. WILL GIVE BRAINLIEST

(8f+4)–(6f+2)

Answers

Answer:

2f +2

Step-by-step explanation:

[tex](8f+4)–(6f+2)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=8f+4-\left(6f+2\right)\\\\-\left(6f+2\right):\quad -6f-2\\=8f+4-6f-2\\\\\mathrm{Simplify}\:8f+4-6f-2:\\\quad 2f+2[/tex]

2f+2

GIVE OTHER ANSWER BRAINLY!!!!!

please help due today

Answers

Answer:

let know that,

the number will we missing .

so answer will 5/5 is right

Answer:

1 aka 1/1

Step-by-step explanation: if a/b=c then c*b=a and a/c=b

5/10=1/12

1/2 / 1/2 = 1

check ur answer:

5/10 / 1 = 5/10 = 1/2

I need to solve 12r-6s=t for r

Answers

Answer:

Simplifying

12r + -6s = t

Solving

12r + -6s = t

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '6s' to each side of the equation.

12r + -6s + 6s = 6s + t

Combine like terms: -6s + 6s = 0

12r + 0 = 6s + t

12r = 6s + t

Divide each side by '12'.

r = 0.5s + 0.08333333333t

Simplifying

r = 0.5s + 0.08333333333t

Step-by-step explanation:

sorry if this doesnt help

Answer:

r=s/2+t/12

Step-by-step explanation:

To find the answer, add 6s to both sides to get 12r=6s+t. Divide both sides by 12 to get the answer.

A family wants to purchase a house that costs $185,000 . They plan to take out a $135,000 mortgage on the house and put $50,000 as a down payment. The bank informs them that with a 15-year mortgage their monthly payment would be $925.14 and with a 30-year mortgage their monthly payment would be $615.65 . Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage. Savings = $

Answers

Answer:

4,592.4

Step-by-step explanation:

925.14×15 = 13,877.1

615.65x30=18,469.5

18,469.5

- 13,877.1

= 4,592.4

Answer:

$55,108.80

Step-by-step explanation:

15 year mortgage

925.14/month times 180 months =

$166,525.20

30 year mortgage

615.65/month times 360 months =

$221,634

$221,634 - $166,525.20 =

$55,108.80

So the difference between the 15 year mortgage and the 30 year mortgage is $55,108.80

What formulae can be used to solve quadratic equation in two variables?​

Answers

The formula that could be used ax*2 + bx + c = 0
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