Use the number line​ below, where RS=5y+5​, ST=2y+5, and RT=52. a. What is the value of​ y? b. Find RS and ST.

Answers

Answer 1

Answer:

y = 6, RS = 35 and ST = 17

Step-by-step explanation:

Given that,

RS = 5y+5

ST = 2y+5

RT = 52

If we consider a number line,

RT = RS + ST

52 = 5y+5 + 2y+5

52 = 7y + 10

7y = 52-10

7y = 42

y = 6

RS = 5y+5

= 5(6)+5

= 35

ST = 2y+5

= 2(6) +5

= 17

Hence, this is the required solution.


Related Questions

In the diagram find the mZEFG.
A)
20 degrees
B)
30 degrees
C
40 degrees
D)
80 degrees
HELPPPPP

Answers

I think it’s B) 30 degrees

find the mean(average) of this set of data 100 400 20 40 30

Answers

Answer:

118

Step-by-step explanation:

(100 + 400 + 20 + 40 + 30)/5

= 590/5

= 118

Answer:

118

Step-by-step explanation:

100+400+20+40+30= 590

then 590/5= 118

.William sold half of his comic book collection and then purchased 10 more . He now has 24 comic books period how many books did William begin with?

Answers

Answer:

28 books

Step-by-step explanation:

Let x represent the number of books .William owned before anything happens

x/2 + 10 = 24

2(x/2 + 10) = 2(24)

x + 20 = 48

x = 48 - 20

x = 28

Answer:

28

Step-by-step explanation

subtract 10 by 24.multiply 14 by 2 and there's your answer hope this helps

Draw a grid using a scale of 0 to 10 on the ×-axis and 0 to 5000 (with interval of 500) on the y-axis and plot a graph based on ur table​

Answers

The graph based on table is drawn in picture.

What is grid?

A grid is basically a structure which is made up of several straight lines which intersect each other and form number of squares or boxes.

What is grid graph?

A grid graph is the 2-dimentional graph with x and y axis which is embedded in Euclidean space .In the graph theory, The grid graph is also known as the 2-dimentional lattice graph (2D lattice) , mesh graph and rectangular grid graph. Sometimes, the graphs having the grid structure are also called as cartesian graphs because they have build on the cartesian coordinates system having x and y axis.

In the question given,

scale on x-axis is 0 to 10 with the interval of 1

thus, points on x axis are 0,1, 2, 3, ----,10

scale on y-axis is 0 to 5000 with the interval of 500

thus, points on y axis are 0, 500, 1000, 1500, ----- , 5000

The grid graph is shown in picture .

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HELP HELP HELP Please

Answers

Answer:

y = 2x², 0, 2, 8

y = 2^x, 1, 2, 4

Step-by-step explanation:

For the first equation, multiply the input by itself and then multiply by two

y = 2x²

y = 2(2)²

y = 2(2*2) = 8

For the second equation, multiply 2 by itself depending on the value of the input

y = 2^x

y = 2²

y = 2 * 2 = 4

2/2
8/4
It’s pretty easy

I’m not sure if this is correct or not !!!!!!!!!! Please HELP !!!!!! I will mark Brianliest !!!!!!

Answers

Answer:

CORRECT!!!!!!!!!

Step-by-step explanation:

Answer:

Your right!

(づ ̄ 3 ̄)づ

I hope this helps! (❤´艸`❤)

Need help with this ASAP I accidentally put the second one but just ignore that

Answers

Answer:

it's A

Step-by-step explanation:

jsushskzhsonssjksjzisnsnsjs

Answer:

A: (3/5, 0)

Step-by-step explanation:

y = 3 - 5x

-5x = y - 3

x = -y/5 + 3/5

Which expression is equivalent to (3x−4y5)−2?

−9x8y10
x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity
negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power
1 over quantity 9 times x raised to the eighth power times y raised to the tenth power end quantity

Answers

The expression which is equivalent to -9x^8 / y^10 is "negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power". option B

Exponential

-9x^8 / y^10

Check all that applies:

x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity

x^8 / (9×y)^10

= x^8 / 9y^10

No

negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power

-(9×x)^8/y^10

= -9x^8 / y^10

Yes

1 over quantity 9 times x raised to the eighth power times y raised to the tenth power end quantity

1/(9×x)^8 × y^10

= 1 / (9x^8) × (y^10)

No

Therefore, the expression which is equivalent to -9x^8 / y^10 is "negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power".

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cos2x-cos 4x
lim
x-0 1-cos 2x cos 4x

Answers

After evaluating the limit we get the answer as 3/5.

Given the expression is : limₓ₋₋₎₀ cos 2x ₋ cos 4x/1-cos2xcos4x

= limₓ₋₋₎₀  cos2x - (2cos²2x ₋ 1)/1-cos2x(2cos²2x - 1)

= limₓ₋₋₎₀  -2cos² + cos2x +1/₋2cos³2x + cos2x + 1

let u =cos2x that is, u → 0

= limu₋₋₎₁  -2u²+u+1/₋2u³+u+1

= limu₋₋₎₁  2u + 1/2u²+2u+1

= 2+1/2×1² + 2 × 1 +1

= 3/2+2+1

= 3/5

hence we get the value as 3/5.

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HELPPPP!!!

Use the diagram to answer the question

Answers

Angle 4 and Angle 5 is the correct answer I hope this helps!

Mr. Seidel filled up his 14-gallon gas tank for $44.26. What was the price per gallon of gas - to the nearest hundredth?

Answers

Answer:

$3.616

Step-by-step explanation:

You can rent a bird scooter in Atlanta according to the function e(x)=0.15x+1.00 to unlock the scooter and $0.15 each minute to rent.
Let e(x) represent the total cost of the rental after x minutes.
a. interpret e(3)=1.45
b. find the e(10).
c. let e(x)-5.50. x=__
d. domain___ range___

Answers

Answer:

17.23

Step-by-step explanation:

Ok bet slovea customer comes in looking for items get started painting ariana offers her a paint pallet a paint brush and a sketch book she tells the customer that if she buys all three she will give her a 15% discount approximately how much would the coustmer save? Paint pallet cost 24.00 sketch book cost: 16.12 and paint brush costs 10.50

Answers

Answer:

Approximately what will be saved will be 8.00

Step-by-step explanation:

Here, we want to know the amount that the customer will save

Firstly, we need to know the amount that all will cost

Mathematically, that will be;

24 + 16.12 + 10.5 = 50.62

The amount to be discounted is 15% of this

That will be 15% of 50.62

= 15/100 * 50.62

= 7.593

Sergio’s job is just a few bus stops away from his house. While it can be faster to take the bus to work, it’s more variable, because of variations in traffic. He estimates that the commute time to work by bus is approximately Normally distributed with a mean of 12 minutes and a standard deviation of 4 minutes. The commute time if he walks to work is also approximately Normally distributed with a mean of 16 minutes with a standard deviation of 1 minute. What is the probability that the bus will be faster than walking?

Answers

9514 1404 393

Answer:

  A.  0.8340

Step-by-step explanation:

The mean difference between walking time and bus time is the difference of their means: 16 -12 = 4 minutes.

The variance of the difference between walking time and bus time is the sum of the variances of the two distributions:

  (4 min)² +(1 min)² = 17 min²

Then the probability that walking will be slower is the probability that the difference is greater than 0.

  P(dif > 0) = P(Z > (0 -4)/√17) = P(Z > -0.970143)

  P(dif > 0) ≈ 0.8340

The probability the bus will be faster is about 0.8340.

[20+(2.5x3)]-27 please help lol

Answers

Answer:

0.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define Expression

[20 + (2.5 × 3)] - 27

Step 2: Evaluate

[Brackets - Parenthesis] Multiply:          [20 + 7.5] - 27[Brackets] Add:                                       27.5 - 27Subtract:                                                  0.5

the perimeter of a jamaican flag is 90 inches. the length is twice its width. find the dimensions of the flag

Answers

Answer:

width = 15 inches

length = 30 inches

Step-by-step explanation:

Finding the dimensions of a rectangular flag:

[tex]\sf \boxed{\text{\bf Perimeter of rectangle =2*length + 2*width}}[/tex]

  Let width = x inches

     Length =  2*x = 2x inches

                 Perimeter = 90 inches

2 *length  + 2* width = 90

            2*2x  + 2*x     = 90

                   4x + 2x    = 90

Combine like terms,

                             6x = 90

Divide both sides by 6,

                                x = 90/6

                                x = 15

Dimensions:

Width = 15 inches

Length = 2*15 = 30 inches.

hich of the relations given by the following sets of ordered pairs is not a function? {(5,2),(4,2),(3,2),(2,2),(1,2)} {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} {(-8,-3),(-6,-5),(-4,-2),(-2,-7),(-1,-4)} {(-6,4),(-3,-1),(0,5),(1,-1),(2,3)}

Answers

{(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function .

• In mathematics, ordered pair is a pair of numbers which are written in a specific order. They are generally written in (x,y) form. For example (3,5) is a ordered pair.

Function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have same value of x coordinate.

Case 1 : {(5,2),(4,2),(3,2),(2,2),(1,2)}

No two ordered pair have the same value of x coordinate. So it is a function.

Case 2 : {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)}

Two ordered pair have the same value of x coordinate (3,2) and (3,5). So, it can not be considered as a function.

Case 3 : {(-8,-3),(-6,-5),(-4,-2),(-2,-7),(-1,-4)}

No two ordered pair have the same value of x coordinate. So it is a function.

Case 4 : {(-6,4),(-3,-1),(0,5),(1,-1),(2,3)}

No two ordered pair have the same value of x coordinate. So it is a function.

Therefore, {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function.

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WRITE THE EQUATION, IN THE FORM y=mx + b, that represents the line shown on the graph.

Answers

Answer:

y = 3/2x - 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Find points from graph.

y-intercept (0, -2)

Random Point (2, 1)

Step 2: Find slope m

Substitute [slope formula]:          [tex]m=\frac{1+2}{2-0}[/tex]Add/Subtract:                               [tex]m=\frac{3}{2}[/tex]

Step 3: Write equation

Substitute into General Form

y = 3/2x - 2

(pre-calc) Use Limit Laws to determine the limit of a(n). It is not -∞, so what answer is it and why?

Answers

The limit of the function as the variable n tends to minus infinity is -1. Option C is correct

Limit of a function

Given the limit of a function expressed according to the equation;

a(n) = 6n²-n-3n³/3n³+n-1

The value of the function if n tends to minus infinity is expressed as show:

a(n) = 6n²-n-3n³/3n³+n-1

Divide both all the terms by

a(n) = 6n²/n³-n/n³-3n³/n³/3n³/n³+n/n³-1/n³

a(n) = 6/n-1/n²-3/(3+1/n²-1/n³)

a(n) = 6/-∞ - 1/(-∞)²-3/(3+1/(-∞)²-1/(-∞)³)

a(n) = -3/3

a(n) = -1

Hence the limit of the function as the variable n tends to minus infinity is -1

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Use the Discriminant to find the number and type of solutions to x^2 + 6x -5 = 4x^2
A 2 Real Solutions
B 1 Real Solution
C Real Solutions, 2 Imaginary Solutions
D 3 Solution

Answers

Answer:

The equation [tex]x^2 + 6x -5 = 4x^2[/tex] have 2 non-real solution, 2 imaginary solutions.

Step-by-step explanation:

Using the Discriminant to find the number and type of solutions to [tex]x^2 + 6x -5 = 4x^2\\x^2-4x^2+6x-5=0\\-3x^2+6x-5=0[/tex]

The discriminant is: [tex]b^2-4ac[/tex]

We have a = -3, b=6 and c=-5

Putting values and finding discriminant

[tex]b^2-4ac\\=(6)^2-4(-3)(-5)\\=36-60\\=-24\\[/tex]

So, we get discriminant = -24

if discriminant  < 0 the solution will have two non-real imaginary solutions.

In our case discriminant  < 0 i,e discriminant  = -24

So, The equation [tex]x^2 + 6x -5 = 4x^2[/tex] have 2 non-real solution, 2 imaginary solutions.

I need help with this whole page (if you can’t see zoom in)

Answers

Answer:

number

2.A

3.1/1

4.A

5.up right side ididnt see

6.5 right

7.place the positive for and walk in to the left side and count eleven start to 4

5 questions plzzzzzz answer!!
1. 3x+10=4
X=?
2. 3x-8=13
X=?
3. 12=8x+4
X=?
4. -1+2x=11
X=?
5. -7=-3-x
X=?

Answers

Answer:

1) -2

2) 7

3) 1

4) 6

5) 4

A seal went 15 below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a larger fish. What expression represents the sea lion's position in relation to sea level?

Answers

Answer:

[tex]2\times 15-6 = 24\ below\ sea\ level[/tex]

Step-by-step explanation:

Given that:

Distance traveled by seal to catch the fish = 15 below sea level

Sea lion wanted to catch a larger fish so sea lion dove 6 feet lesser than two time the distance that the seal traveled.

To find:

The expression to represent the position of the sea lion in the sea.

Solution:

If the distance traveled by seal is represented by [tex]D[/tex] then as per the question statement:

Twice of [tex]D[/tex] = [tex]2\times D[/tex]

6 lesser than twice of [tex]D[/tex] = [tex]2\times D[/tex] - 6

Now, putting the value of [tex]D[/tex] = 15

Therefore, the expression to represent the sea lion's position w.r.to sea level.

[tex]2\times 15-6\\ = 24\ below\ sea\ level[/tex]

Hi will you help me I can’t figure this out?

Answers

Answer: the first option

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-20-------------------------------------0-------------------------------------20

moving right on ANY number line increases the number value. My example above also shows you that if you move left your number value will DECREASE.

HOPE THIS HELPS <3333

-Silver

Easy math problems!!!!!

Answers

Answer:

We can use the Pythagorean theorem to solve this:

The Pythagorean theorem states that the hypotenuse of a triangle (the longest side), squared is equal to the sum of the other 2 sides of the triangle, squared. It can be expressed as so:

c^2=a^2+b^2 where c represents the hypotenuse; a and b represent the other 2 sides.

Now that we have an equation we can solve:

c^2=8^2+8^2

c^2=64+64

c^2=128

Since there is no perfect square for 128 we need to put in in simplest radical form

c=√128

Find a number that has a perfect square and multiplies by another number to equal 128

c=√64 x 2

This can be rewritten as so:

c=√64√2

Now for the last step find another perfect square for 64 and have it outside the square like so:

c=8√2

There is no perfect square for 8 so this is in simplest radical form

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Which equation has a solution of (-2,1)?

A. y=-2x+1
B. y=2x-1
C. y=-2x-3
D. y=2x+3

Answers

C because you have to substitute so 1=-2(-2)-3

What is the answer to the question?

Answers

Answer:

360g plain flour

3 eggs

900ml milk

Step-by-step explanation:

To make 4 pancakes you would do 240g÷2=120g

2 eggs÷2=1

600ml÷2=300ml

all this makes a total of 4 pancakes.

to make 12 pancakes you do 4×3 soo..

120g×3=360g

1×3=3

300ml×3=900ml

A student answered 86 problems on a test correctly and receives a grade at 98% how many problems were only test if all the problems were worth the same number of points( round to the nearest whole number) ​

Answers

Answer:

88 questions

Step-by-step explanation:

86/0.98 = 87.755

pls mark brainliest :D

This is very easy!!​

Answers

Answer:

product

Step-by-step explanation:

hope it helps

Answer:

yesn't

Step-by-step explanation:

Three of the following representations match while one does not. Which one is incorrect? How could the student correct it? DESCRIPTION EQUATION At Sherri's Sundae Shop, customers pay $4 for a bowl of ice cream plus $0.20 per topping. y = .25x + 4 SHERRI'S SUNDAE SHOP TOPPINGS TOTAL COST (S) 1425 2 $4.50 TOTAL COST (S) 3 $4.75 4 $5.00 5 15.25 $5.50 TOPPINGS TABLE GRAPH​

Answers

Answer:

Description

Step-by-step explanation:

.20(8)+4=5.6

on the graph the point is (8,6)

.25(8)+4=6

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This is very easy!!! What is the area of this tile? 4 in. and 1 in. kants visions of a foeduspacificum, i.e. international organization and international law as a means of conducting peaceful interstate relations. with regard to establishing such interstate institutions, these "solutions" to the problem of anarchy are directly opposed to the early ideas of the realist tradition that power and balance-of-power-politics present the best means to stabilize interstate relations Which of the following events was related to thestruggle in Kansas?Select one:O a. Raid on Harper's FerryOb. Battle of Fort SumterO c. Sherman's MarchO d. Pottawattomie Massacre Ko Ko will be on holiday ..... three weeks. a) onb) atc) ofD) for Can you help me with this plzzzzzzz Sam bought an $85.00 jacket for 40% off of the regular price. He also has to pay 5% for tax. How much did he pay for the jacket after the discount and tax? Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping. in the wailing siren mystery what did the boys found in Mr. Mortons' truck Alan got 72 questions correct on the last math exam. He got 85 questions correct this time. By what percent did the number of questions correct increase? (Round to the nearest whole percent)A. 84%B. 16%C. 118%D. 18% Please help me ASAP! Due tonight! What is the difference between a primary and secondary group? this is about sociology I hate school Im supposed to be in 12th but Im in 11th Im doing my credit recovery classes its just exhausting for me what is the step-by-step answer to (X/3 - 2)+(X/2 + 6)=3 (i will give brainliest for the first answer)Triangle XYZ has vertices X(-3, -2), Y(-1, 0),and Z(1, -6). Find the vertices of triangleXYZ after a reflection over the x-axis. KThe selling price of a refrigerator, is $724.50. If the markup is 5% of the dealer's cost, what is the dealer's cost of the refrigerator? PLEASE HELP ME SOLVE THIS IS MY 3RD ATTEMPT ON HERE. Jonathan has a summer job earns $8.15 per hour .one week , he works 15 3/4 hours . He deposits $120 in a bank and decides to use the rest of the money to buy raffle tickets. Each raffle ticket costs $0.50 . How many raffle tickets can Garth buy ? Need answers ASAP pliss Which of the following statements about the Civil War is FALSE?a.Women formed aid associations in an effort the support the war and care for the wounded.b.Cotton production declined across the South during the Civil War.c.In an effort to increase production of goods, many factories were built in the South during the Civil War.d.Mobs attacked and destroyed printing presses where newspaper men spoke out against the war.Please select the best answer from the choices providedABCD If you can run a distance of 400 mi in 8 h, what is your average speed?