Use the number line below, where , RS=6y+2, ST=15y+9 and RT=5y-13. Find
the value of RS, ST, and RT *

Use The Number Line Below, Where , RS=6y+2, ST=15y+9 And RT=5y-13. Findthe Value Of RS, ST, And RT *

Answers

Answer 1

Answer:

RS = - 7

ST = - 13.5 = - 13½

RT = - 20.5 = - 20½

Step-by-step explanation:

From the question given above, the following were obtained:

RS = 6y + 2

ST = 15y + 9

RT = 5y - 13

To obtain RS, ST and RT, we must first obtain the value of y. This can be obtained as follow:

From diagram above, it is evident that:

RT = RS + ST

RS = 6y + 2

ST = 15y + 9

RT = 5y - 13

5y - 13 = 6y + 2 + 15y + 9

5y - 13 = 6y + 15y + 2 + 9

5y - 13 = 21y + 11

Collect like terms

5y - 12y = 11 + 13

- 16y = 24

Divide both side by - 16

y = 24/ - 16

y = - 1.5

Finally, we shall determine RS, ST and RT as follow:

RS = 6y + 2

y = - 1.5

RS = 6(-1.5) + 2

RS = - 9 + 2

RS = - 7

ST = 15y + 9

y = - 1.5

ST = 15(-1.5) + 9

ST = - 22.5 + 9

ST = - 13.5 = - 13½

RT = 5y - 13

y = - 1.5

RT = 5(-1.5) - 13

RT = - 7.5 - 13

RT = - 20.5 = - 20½


Related Questions

How do you do this question?

Answers

Step-by-step explanation:

F(x) = ∫ₓᵃ sin(2t) dt

Use the identity:

-F(x) = ∫ₐˣ sin(2t) dt

Take derivative using fundamental theorem of calculus.

-F'(x) = sin(2x)

F'(x) = -sin(2x)

Translate and solve: 24.67 is what percent of 129? Rounded to the nearest tenth of a percent.

Answers

Answer:

31.8

Step-by-step explanation:

24.67x129

=>31.82

=>31.8

What is 75% of 35 feet?

Answers

Answer:

26.25 feet

Step-by-step explanation:

A percentage is simply a ratio of the whole.  If we assume 35 feet to be 100%, or the whole, then we can say the following:

0.75 * 35 == 26.25

Hence, 75% of 35 feet is 26.25 feet.

Cheers.

(I need help again)

Which number is farthest to the right

A. —15

B. —1

C. 0

D. 1


Find -5

A. -5

B. 5

C. 1/5

D. -1/5

Answers

Answer:

5

Step-by-step explanation:

on a graph all of the regular numbers are on the left

The answer is 5. It’s farthest to the right

Karen is working on a project that is due in 8 days.

So far, she has spent 3 2/5 hours on it and figures that she is about 4/8 done.

How many more hours will she need to spend on this project?

Express your answer as a decimal, rounded to the nearest hundredth

Answers

Given :

Karen spent 3 2/5 hours on it and figures that she is about 4/8 done.

To Find :

How many more hours will she need to spend on this project .

Solution :

Simplifying time spend in normal fraction .

[tex]t=3\dfrac{2}{5}=\dfrac{(3\times 5)+2}{5}\\\\\\t=\dfrac{17}{5}\ hours[/tex]

Now , time taken to complete full project .

[tex]x=\dfrac{17}{5} \times \dfrac{8}{4}\\\\x=6.8\ hours[/tex]

Therefore , hours required to complete the project is 6.8 hours .

Hence , this is the required solution .

Solve x[tex]x^{2} = 225[/tex]

Answers

Hi there!

~

Let's solve your equation step-by-step.

[tex]x^{2} =\ 255[/tex]

Step 1: Take square root.

[tex]x =[/tex] ± [tex]\sqrt{255}[/tex]

[tex]x = \sqrt{255}[/tex] or [tex]= - \sqrt{255}[/tex]

Hope this helped you!

If g(x) = x^2 – 2x – 6 and h(x) = 2x^2 – 5x + 2 find (h – 9) (-2)

Answers

Answer: (h-g)(-2)=18

Step-by-step explanation:

(h – g) (-2) means the same as subtracting h(-2) and g(-2). Since we are given h(x) and g(x), we can use them to solve. There are two ways to solve. One is to find h(-2) and g(-2), and then subtract them. Another way is to do (h-g)(x), then plug in x=-2. I will show both methods.

Method 1

h(-2)=2(-2)²-5(-2)+2                   [exponent]

h(-2)=2(4)-5(-2)+2                      [multiply]

h(-2)=8+10+2                               [add]

h(-2)=20

g(-2)=(-2)²-2(-2)-6                       [exponent]

g(-2)=4-2(-2)-6                            [multiply]

g(-2)=4+4-6                                 [add then subtract]

g(-2)=2

(h-g)(-2)=20-2                            [subtract h(-2) and g(-2)]

(h-g)(-2)=18

--------------------------------------------------------------------------------------------------------

Method 2

(h-g)(x)=2x²-5x+2-(x²-2x-6)      [distribute -1]

(h-g)(x)=2x²-5x+2-x²+2x+6        [combine like terms]

(h-g)(x)=x²-3x+8

(h-g)(-2)=(-2)²-3(-2)+8                [plug in x=-2, exponent]

(h-g)(-2)=4-3(-2)+8                    [multiply]

(h-g)(-2)=4+6+8                          [add]

(h-g)(-2)=18

--------------------------------------------------------------------------------------------------------

Now, we know that (h-g)(-2)=18. We confirmed this with both methods.

Lauren has dimes and nickels in her purse. The number of dimes is three more than seven times the number of nickels. Let n represent the number of nickels. Write an expression for the number of dimes.

Answers

Answer:

X = 7n + 3

Step-by-step explanation:

x= dimes

n=nickels

X = 7n + 3

CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!​

Answers

Answer:

11.4

Step-by-step explanation:

So we know that Triangle ACB is similar to Triangle EFD.

This means that their sides are proportional to each other.

We want to find x or side AB. To do so, we can set up a proportion.

The proportional side to AB is ED. Let's also use BC since we know its value. The proportional side to BC is DF. Thus:

[tex]\frac{AB}{ED}=\frac{BC}{DF}[/tex]

Substitute x for AB, 3.8 for Ed, 15 for BC, and 5 for DF. Thus:

[tex]\frac{x}{3.8}=\frac{15}{5}[/tex]

Reduce the right:

[tex]\frac{x}{3.8}=\frac{3}{1}[/tex]

Cross multiply:

[tex]x=11.4[/tex]

So, the value of x is 11.4

And we're done!



7. a. Use the distributive property to rewrite the equation.
Enter the new equation as your answer.
2 (x - 1) - 3 = 5
Enter your answer
8.b. Combine any like terms to rewrite the equation that you entered as an answer in part a.
Enter the new equation as your answer.
Enter your answer
9.c Use addition or subtraction to rewrite the equation that you entered as an answer in part b.
Enter the new equation as your answer.
Enter your answer
10.d. Use multiplication or division to rewrite the equation that you entered as an answer in part c.
Enter the new equation as your answer."

Answers

Answer:

Hey there!

a.

2(x-1)-3=5

2x-2-3=5

b.

2x-5=5

c.

2x=10

d.

x=5

Let me know if this helps :)

Give the next three terms in each Arithmetic Sequence and the common difference

Answers

Answer:

A)  Sequence: -5, -10, -15, -20, -25, -30, -35, -40    cd = -5

B)  Sequence: -1, 2, 5, 8, 11, 14, 17, 20   cd = 3

C)  Sequence:  17, 19, 21, 23, 25, 27, 29, 31   cd = 2

D)  Sequence:  11, 16, 21, 26, 31 , 36, 41, 46   cd = 5

E)  Sequence:  -9, -6, -3, 0, 3, 6, 9, 12  cd = 3

Step-by-step explanation:

A)   Sequence: -5, -10, -15, -20, -25

The common difference (cd) - which is the number that we need to add to each term in order to get the next - is -5

and the next three terms are: -30, -35, -40.

B)  Sequence: -1, 2, 5, 8, 11,

The common difference is 3,   cd = 3

so the next three terms in the sequence are; 14, 17, 20  

C)  Sequence:  17, 19, 21, 23, 25,

the common difference is 2,  cd = 2

so the next three terms in the sequence are:  27, 29, 31  

D)  Sequence:  11, 16, 21, 26, 31

the common difference is 5,  cd = 5

so the next three terms of the sequence are: 36, 41, 46  

E)  Sequence:  -9, -6, -3, 0, 3,

the common difference is 3,   cd = 3

so the next three terms in the sequence are:  6, 9, 12

5. A real estate agent earns 3.5% commission on the selling price of a home. Find the commission
earned on the sale of a $300,000 home.
$10,500
$5,500
$9,500
$3,500

Answers

300000(3.5%)=10,500

-2times(3+8divided4)2

Answers

Answer:

20

Step-by-step explanation:

Answer:-20

Step-by-step explanation: 8/4+3=5 then -2*5 =-10*2 =-20

Two angles are supplementary if their sum is 180 degrees. The larger angle is 6 degrees more than five times the measure of the smaller angle. Let
x
represent the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.

Answers

Answer:

Step-by-step explanation:

x+y=180

y=5*x+6

so

x+5x+6=180

6x=180-6

6x=174

x=174/6

x=29 degrees

y=29*5+6

y=145+6=151

y=151 degrees

how many is 18 thousands x 10

Answers

18,000 should be the answer

Hello, please help with this question. Thanks.

Answers

The value of x is 17

Answer:

x = 17

Step-by-step explanation:

4x +22 = 90

4x = 68

x = 68/4

x = 17

Sam hss 100 cheese slices to make sandwiches. The equation below can be used to find s, the number of sandwiches he can make based on c, the number of cheese slices per sandwich.

s=100/c
Which equation is the same when solved for c in terms of s?

F. C=100/c
G. C=s/100
H. C=100-s
J. C= s-100

Answers

h c=100-s thats the cooreect answer

Answer:

G

Step-by-step explanation:

ion kno how to explain‍♀️‍♀️

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.


y = 5√49 − x2

y = 0

x = 2

x = 4

Answers

Answer:

V = 4316.75 π

Step-by-step explanation:

Given that:

[tex]y = 5 \sqrt{49 -x^2}[/tex] y = 0, x = 2, x = 4

[tex]V = \pi \int \limits ^{x=4}_{x=2} y^2 \ dx[/tex]

where;

y² = 25 (49 - x²)

[tex]V = 25 \pi \int \limits ^4_2 (49-x^2) dx[/tex]

[tex]V = 25 \pi [ (49x-\dfrac{x^3}{3}]^4_2[/tex]

[tex]V = 25 \pi [ 49\times 4 -\dfrac{4^3}{3} - 2][/tex]

[tex]V = 25 \pi [ 196-21.33 - 2][/tex]

[tex]V = 25 \pi [ 172.67][/tex]

V = 4316.75 π

Una prueba de resistencia se realiza en un circuito de 1.54 km.¿Cuántos kilómetros recorre el corredor si da 6 vueltas?
PORFAVOR AYUDA EN MENOS DE 15 MINUTOS

Answers

Answer:

La corredora correría 9 kilómetros y 24 pies.

Step-by-step explanation:

multiplique la longitud de una vuelta (1.54) por cuántos de ellos corrieron (6) para obtener cuántos kilómetros corrieron (9.24)

Julie made 25 international long-distance phone calls to London last month. The scatterplot below shows the length and cost of each phone
call she made.
Cost of International
Long Distance Phone Calls
3
Cost of Call (dollars)
.
N
.
.
0
6 12 18 24
Length of Call (minutes)
Which conclusion is best supported by the scatterplot?

Answers

Answer:b

Step-by-step explanation:

Answer:d there is no relationship time and cost varies

Step-by-step explanation:

its conman sense

Jade had $520 to spend on extra items this month. She spent .15 on art supplies, 1 10 was spent at the book store, 3 5 was spent at Chicka-fila. How much did she have left of her extra money?

Answers

Answer:

515.25 is what she got left

Step-by-step explanation:

What the square root of 50/ 250 (rounded to 2 decimal places)? * 0.45 0.44 0.47 0.46

Answers

Answer:

[tex]Root = 0.44[/tex]

Step-by-step explanation:

Required

Determine the square root of [tex]\frac{50}{250}[/tex]

Start by simplifying the fraction

[tex]Digit = \frac{50}{250}[/tex]

Divide the numerator and denominator by 50

[tex]Digit = \frac{1}{5}[/tex]

Next, determine the square root;

[tex]Root = \sqrt{\frac{1}{5}}[/tex]

Split the squarer root

[tex]Root = \frac{\sqrt{1}}{\sqrt{5}}[/tex]

[tex]Root = \frac{1}{\sqrt{5}}[/tex]

Rationalize

[tex]Root = \frac{1}{\sqrt{5}} * \frac{\sqrt{5}}{\sqrt{5}}[/tex]

[tex]Root = \frac{\sqrt{5}}{5}[/tex]

[tex]Root = \frac{2.2360679775}{5}[/tex]

[tex]Root = 0.4472135955[/tex]

[tex]Root = 0.44[/tex] --- Approximated

What is the perimeter of the rectangle with length of 2x + 3 and width of 5x – 5? Explain your process to find the perimeter.

Answers

Answer:

14x-4

Step-by-step explanation:

length:2x+3

width:5x-5

perimeter of rectangle:2(l+b)

:2(2x+3+5x-5)

:2(7x-2)

:14x-4

•••The perimeter of rectangle(p)=14x-4

two consecutive integers who sum of 111​

Answers

Answer:

55 and 56

Step-by-step explanation:

Let the first number = k

the second number = k + 1

k + k + 1 = 111

2k + 1 = 111

2k = 111 - 1

2k = 110

k = 110/2

k = 55

The two numbers are 55 and 56

Joshua is going kayaking with a group during one of his vacation days. In his vacation planning, he budgeted $50 for a kayak rental. How can Joshua determine the number of hours he can rent a kayak for himself?

Answers

Answer: Divide Kayak budget by rental rate

Step-by-step Explanation:

As Joshua is renting for himself alone, the two available options would be the Single Kayak and the Single Sea Kayak.

He can determine the number of hours to rent a Kayak for by dividing his Kayak Budget by the rental rate per hour of the 2 options available to him.

Single Kayak

Budget available = $50

Rental rate = $15 per hour

Hours he can rent = 50/15

= 3.33 hours

Single Sea Kayak

Budget available = $50

Rental rate = $18 per hour

Hours he can rent = 50/18

= 2.78 hours

Tell which set or sets the number below belongs​ to: natural​ numbers, whole​ numbers, integers, rational​ numbers, irrational​ numbers, or real numbers. 8/9

Answers

Answer:

Rational numbers

Step-by-step explanation:

A rational number is a number that can be written as a ratio of two integers. The are expressed as fractions. Given the value 8/9, this value is a fraction and is written as a ratio of two integers 8 and 9.

The value is neither a real number, nor an integer because integers and whole numbers are not expressed as fractions.

Natural numbers are also whole numbers starting from 1 and above. Hence 8/9 is not a natural number as well.

Note that irrational numbers are also classified as real numbers and they can not be written as a ratio of two integers.

Conclusively, 8/9 is only classified as a rational number

Make up your own “which one doesn’t belong” example:
a. 8x^3-64
b. x^6+27y^3
c. 27-x^9
d. -x^3-8

Answers

caca pipipoopoo checkkkkkkkk

Use the simple interest formula to determine the missing value. p =$1325, r =?t=2 years I=$37.10 r=?% ​(Do not round until the final answer. Then round to one decimal place as​ needed.)

Answers

Answer:

r = 1.4 %

Step-by-step explanation:

given p(principle) is 1,375$, r(interest rate) is unknown, t(time in years) is 2, and I(Interest / final balance) is 37.10$. The simple interest formula: I = prt can be rewritten as: r = I/pt to solve for r. 37.1 / ( 1325 × 2 ) = 37.1 / 2650 = 0.014 = ( 0.014 * 100 ) % = 1.4 %

Find the slope of the line that passes through each
pair of points. Express as a fraction in simplest
form. (-2,6), (1,15)

Answers

Answer:

m = 3/1

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1) = (15 - 6)/(1 - (-2)) = 9/3 = 3/1

How much is 5 divided by 3/10?

Answers

Answer:

16.6666666667

Step-by-step explanation:

Answer:

16 2/3

Step-by-step explanation:

Step 1:

5/1 ÷ 3/10

Step 2:

5/1 × 10/3

Step 3:

50/3

Answer:

16 2/3

Hope This Helps :)

Other Questions
What is the range of the graph below? At which stage of the water cycle does water return to Earth in the form of rain or snow ? A. accumulation B. condensation C. evaporation D. precipitatio The sum of two numbers is 97. The larger number is three less than four times the smaller number. Find the numbers. P(n) =-n -1 ;find p(10) Simplify the following expression.5 (2x - 3) + 4(x + 1) El derecho poltico de los ciudadanos para dar por terminado el mandato de un gobernante, es una definicin que corresponde a un mecanismo de participacin en Colombia, denominado A. Consulta popular B. Cabildo abierto C. Iniciativa legislativa D. Revocatoria del mandato Describe the character of King Arthur. What character traits does he show in thisselection? Support your response with evidence from the text.HELP ASAP b. If some amount of water contains 1400 oxygen atoms, how many hydrogen atoms does it contain?hydrogen atomsPreviewc. If some amount of water contains 3380 oxygen atoms, how many hydrogen atoms does it contain?hydrogen atomsPreviewd. Write a formula that expresses the number of hydrogen atoms (y) in any time amount of water in terms of the number of oxygen atomsthat amount of water. Do you believe Romeo and Juliet died for love or something else entirely? Explain your reasoning with evidence from the text Question: What effect does the water temperature have on solution rate? Make a Hypothesis: Which tool is used to create the World Wide Web how did the last ice age affect human migration The party's successes or failures often depend on the national committee. O the state central committee and its leaders. the local committees and their leaders. the presidential candidate The two major political parties today arell Progressive and Democrat. Whig and Democrat. o Federalist and Republican. Republican and Democrat. I think I know it but just needing help if I get it wrong. Help me please !! Diarrheal disease can be caused by the microscopic protozoans...(has checkboxes can select multiple) [] giardia[] amoeba[] trypanosoma In 1845 the American president sent _____ as a secret envoy to Mexico to negotiate the purchase of the disputed territory between the rivers, as well as the area that is now California, Arizona, and New Mexico. solve the given triangles by finding the missing angle and other side lengths. 5x 2y + (7x - y) for x = 7 and y = -2. "A customer buys 5 ABC Jan 30 Straddles for a total premium of $3,500. Just prior to expiration ABC stock closes at $21, and the customer closes the options positions at intrinsic value. The customer will have a:"