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.)
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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]

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

Answer:

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

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! ;)

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!!!!!

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

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

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

Answer:

83%

Step-by-step explanation:

The fraction shown is 5/6.

5/6= 0.83333333

0.83333333= 83%

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

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.

Answer:

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

Step-by-step explanation:

Answer:

10x+3y+2

Step-by-step explanation:

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

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.

[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

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 .

Answer:

No

Step-by-step explanation:

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

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

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.

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.

Answer:

125

Step-by-step explanation:

5^3 = 5 × 5 × 5 = 125

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!

Answer:

66 feet

Step-by-step explanation:

5 1/2 times 12

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.

Answer:

the answer is in the picture

Step-by-step explanation: