RS = 4x – 9, ST = 19, RT = 80 – 14

Equation:

82 – 14

RS

RT

Answers

Answer 1

Step-by-step explanation:

The expressions are not properly written

Given

RS = 4x – 9

ST = 19

RT = 8x – 14

Based on the given parameters, the addition postulate below is true

RS+ST = RT

Substitute

4x-9+19 = 8x-14

collect like terms

4x-8x = -14-19+9

-4x = -33+9

-4x = -24

x = -24/-4

x = 6

Get RS:

RS = 4x-9

RS = 4(6)- 9

RS = 24-9

RS = 15

Get RT:

RT = 8x - 14

RT = 8(6)-14

RT = 48-14

RT = 34


Related Questions

​Solve for x. 5x−2(x+1)=1/4 ​

Enter your answer as a fraction in simplest form.

Answers

5x-2(x+1)=1/4
5x-2x-2=1/4
3x-2=1/4
3x=2 1/4
3x=9/4
3x/3=(9/4)/3
x=(9/4)(1/3)
x=9/12
x=3/4

The following pieces of empirical evidence have been collected over the years: Historical trend data show an increase in temperature globally Levels of carbon dioxide gas are on the rise Levels of methane gas are on the rise Glacial ice is melting Antarctic and Artic sea ice is melting Which statement best explains the significance of this empirical evidence?



a
It provides a hypothesis for the climate of the past.
b
It provides data for science journals and textbooks.
c
It supports the scientific explanation for global warming.
d
It predicts future weather patterns.

Answers

Answer:

C. It supports the scientific explanation for global warming.

Explanation:

The listed pieces of empirical evidence support the scientific explanation for global warming. Global warming is the long-term heating of Earth's climate, and the increase in levels of carbon dioxide and methane is the reason why glacial ice in the Antarctic and Arctic sea is melting.

These pieces of evidence don't deal with the past of the future. They tell us what is going on right now. Based on them, we could make an assumption about what is going to happen in the future, but there are no predictions here.

Also, this data can be used for science journals and textbooks, but that purpose is not expressed here.

This leaves us with option C as the correct one.

Kailey correctly graphed the opposite of –3.3 on the number line.

A number line going from negative 5 to positive 5. Point A is between negative 4 and negative 3, point B is between negative 3 and negative 2, point C is at 3.3, and point D is at 3.9.

Answers

Answer:

C

Step-by-step explanation:

I hope this helps!

Answer:

c

Step-by-step explanation:

You are offered the following gamble:

Flip two fair coins. If at least one head comes up, you win $12. If not, you lose $24. What is the expected value of this gamble?

Answers

Answer:

$3

Step-by-step explanation:

Flipping two fair coins :

Sample space :

{TH, HT, TT, HH}

Atleast one head = 12

If not = - 24

Probability of atleast one head = 3/4

If not ; probability of 2 tails = 1/4

Hence,

X ______12 ______ -24

P(x) ___0.75 ______0.25

Expected value for of gamble E(x) :

Σx * p(x) = (12 * 0.75) + (-24 * 0.25)

E(x) = 9 - 6

E(x) = 3

Expected value of gamble = $3

Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ:(a + b)^2,(a – b)^2,(a - b)(a + b)

Answers

Answer:

because you have to distrubute the 2 to the letters inside the () or else youll get a diff answer thats wrong

Step-by-step explanation:

hurry please a will give 20 points too all you who answer this but make it fast Jiang counted that he had thrown 90 pitches in a baseball game. He actually had thrown 94 pitches.

Enter numbers into the boxes to write an expression for the percent error in Jiang's count.

Answers

Answer:

Approximately 96%

Step-by-step explanation:

90/94=45/47. 45/47 is approximately 96%

Simplify.

35+(−14)710

Enter your answer as fraction in simplest form by filling in the boxes.

$$

Answers

It’s -9905
Multiply -14 by 170 then subtract 9940 by 35

Answer:

1/2

Step-by-step explanation:

Which steps can be used to verify that tan(w + Pi) = tan(w)? Rewrite tan(w + Pi) as tan(w) + tan(Pi). Then simplify the expression using tan(Pi) = 1. Rewrite tan(w + Pi) as tan(w) + tan(Pi). Then simplify the expression using tan(Pi) = 0. Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 1. Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0.

Answers

Answer:

Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0

Step-by-step explanation:

According to tangent sub identity

Tan(A+B) = TanA+TanB/1-tanAtanB

Applying this in question

Tan(w+Pi) = tan(w)+tan(pi)/1-tan(w)tan(pi)

According to trig identity, tan(pi) = 0

Substitute

Tan(w+Pi) = tan(w)+0/1-tan(w)(0)

Tan(w+Pi) = tan(w)/1

Tan(w+Pi) = tan(w) (proved!)

Hence the correct option is

Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0

The given expression can be prove by using tangent sub-identity. In the solution we will use [tex]\tan (A+B)[/tex] sub-identity.

The correct option is Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0.

Given:

The given expression is as follows,

[tex]\tan(w+\pi)=\tan(w)[/tex]

Write the tangent sub-identity.

[tex]\tan(A+B)=\dfrac{\tan A+\tan B}{1-\tan A\tan B}[/tex]

Now replace [tex]A[/tex] with [tex]w[/tex] and [tex]B[/tex] with [tex]\pi[/tex].

[tex]\tan(w+\pi)=\dfrac{\tan w+\tan \pi}{1-\tan w\tan \pi}[/tex]

Substitute 0 for  [tex]\tan \pi[/tex].

[tex]\tan(w+\pi)=\dfrac{\tan w+0}{1-\tan w\times 0}\\\tan(w+\pi)=\tan w[/tex]

Thus, the correct option is Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0.

Learn more about tangent sub-identity here:

https://brainly.com/question/1561928

Which values of a, b, and c represent the answer in simplest form?

StartFraction 5 Over 8 EndFraction divided by StartFraction 3 Over 8 EndFraction = a StartFraction b Over c EndFraction

A. a = 1, b = 3, c = 2

B. a = 1, b = 40, c = 24

C. a = 1, b = 16, c = 24

D. a = 1, b = 2, c = 3

Answers

Answer:

a

Step-by-step explanation:

i looked a the calculator

Answer:

trust me on this answer. It is D, a = 1, b = 2, c = 3

Step-by-step explanation:

Okay, so the problem is 5/8 divided by 3/8.

So, you find the reciprocal, which then is 5/8 x 8/3

Since there is an 8 is both the first denominator and the second numerator, you cross them out, which leaves you 5/3

So, 5 can go into 3, only 1 time.

5/3 = 3/3 + 2/3

So, 3/3 + 2/3 = 1 2/3

Therefore, D is the answer of choice.

If it's confusing, please leave questions below

Julie bought 3 tomatoes for a price of $0.60 each. Using the key, create a
model to represent how much Julie can expect to pay for the tomatoes.
Then write an equation that matches your model.
KEY
- 1 dollar

Answers

Answer:

y=.60x

Step-by-step explanation:

where y is the amount of money Julie can expect to pay

where x is the amount of tomatoes she is buying

i dont understand what the key means, but this would be the appropriate model for this problem

Can i get brainliest please?

Write as the sum and/or difference of logarithms. Express powers as factors \log _4\left(\sqrt{\frac{mn}{19}}\right). g

Answers

Answer:

[tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] is equivalent to  [tex]f = 0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex].

Step-by-step explanation:

Let be [tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex], we transform this into an equivalent expression with sums and differences of logarithms by applying logarithm properties:

1) [tex]\log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] Given.

2) [tex]\log_{4}\left[\left(\frac{m\cdot n}{19} \right)^{0.5}\right][/tex] Definition of square root.

3) [tex]0.5\cdot \log_{4}\left(\frac{m\cdot n}{19} \right)[/tex]   [tex]\log_{a} b^{c} = c\cdot \log_{a} b[/tex]

4) [tex]0.5\cdot (\log_{4}m\cdot n -\log_{4} 19)[/tex]   [tex]\log_{a} \frac{b}{c} = \log_{a} b - \log_{a} c[/tex]

5) [tex]0.5\cdot \log_{4} m\cdot n -0.5\cdot \log_{4} 19[/tex] Distributive property.

6) [tex]0.5\cdot (\log_{4}m + \log_{4}n)-0.5\cdot \log_{4}19[/tex]   [tex]\log_{a} b\cdot c = \log_{a}b +\log_{a} c[/tex]

7) [tex]0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex] Distributive property/Result.

[tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] is equivalent to  [tex]f = 0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex].

the half life of c14 is 5730 years. Suppose that wood found at an archeological excavation site contains about 35% as much C14 as does living plant material. Determine when the wood was cut

Answers

Answer:

The wood was cut approximately 8679 years ago.

Step-by-step explanation:

At first we assume that examination occured in 2020. The decay of radioactive isotopes are represented by the following ordinary differential equation:

[tex]\frac{dm}{dt} = -\frac{m}{\tau}[/tex] (Eq. 1)

Where:

[tex]\frac{dm}{dt}[/tex] - First derivative of mass in time, measured in miligrams per year.

[tex]\tau[/tex] - Time constant, measured in years.

[tex]m[/tex] - Mass of the radioactive isotope, measured in miligrams.

Now we obtain the solution of this differential equation:

[tex]\int {\frac{dm}{m} } = -\frac{1}{\tau}\int dt[/tex]

[tex]\ln m = -\frac{1}{\tau} + C[/tex]

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (Eq. 2)

Where:

[tex]m_{o}[/tex] - Initial mass of isotope, measured in miligrams.

[tex]t[/tex] - Time, measured in years.

And time is cleared within the equation:

[tex]t = -\tau \cdot \ln \left[\frac{m(t)}{m_{o}} \right][/tex]

Then, time constant can be found as a function of half-life:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (Eq. 3)

If we know that [tex]t_{1/2} = 5730\,yr[/tex] and [tex]\frac{m(t)}{m_{o}} = 0.35[/tex], then:

[tex]\tau = \frac{5730\,yr}{\ln 2}[/tex]

[tex]\tau \approx 8266.643\,yr[/tex]

[tex]t = -(8266.643\,yr)\cdot \ln 0.35[/tex]

[tex]t \approx 8678.505\,yr[/tex]

The wood was cut approximately 8679 years ago.

Norbert’s Nursery is having a sale. Flats of flowers are priced as marked, including tax. Jake buys 2 flats of petunias at $5.25, 3 flats of daisies at $7.65, and 1 flat of begonias at $8.40. If he pays with a $50 bill, how much change should Jake receive?

Answers

Answer:

I am a student. Jake should receive 8.15 dollars in change. Please pick me brainliest! I am new to this website and I wanna help.

Step-by-step explanation:

Carlos purchased an antique chair for $56.
He later sold the chair for $68 to an antique
dealer. What was the percent markup of the
chair?

Answers

Answer:

about  22 percent

Step-by-step explanation:

How many solutions does this problem have 7(y+3)=5y+8

Answers

Answer:

7(y+3)=5y+8

y= -3/2  One solution

Step-by-step explanation:

Paul is a married taxpayer and claims 2 withholding allowances. He earns $575 per week. He estimates that he will spend $50 each week in qualified expenses. If he participates in his employer's cafeteria plan and has the $50 per week deducted from his wages before taxes, how much will he save in one year of working in federal income and FICA taxes?

Answers

Answer:

i need help too

Step-by-step explanation:

...

What is the slope of the line passing through the points (1, -5) and (4, 1)?
O-2
O 2
O-


Help please

Answers

Answer:

m=2

Step-by-step explanation:

Use the slope formula to find the slope  m .

what are the factors of
8c^2+ 10c – 7

Answers

answer: (8c^2-4c)(14c-7)
explanation: first you need to figure out what multiplies to get you -56 and adds to get you 10. these are 4 and 14
now you figure out which will be negative. and it will be 4 .
8c^2+10c−3
Factor the expression by grouping. First, the expression needs to be rewritten as 8c^2+ac+bc−3. To find a and b, set up a system to be solved.
a+b=10
ab=8(−3)=−24
Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −24.
−1,24
−2,12
−3,8
−4,6
Calculate the sum for each pair.
−1+24=23
−2+12=10
−3+8=5
−4+6=2
The solution is the pair that gives sum 10.
a=−2
b=12
Rewrite 8c
2
+10c−3 as (8c
2
−2c)+(12c−3).
(8c
2
−2c)+(12c−3)
Factor out 2c in the first and 3 in the second group.
2c(4c−1)+3(4c−1)
Factor out common term 4c−1 by using distributive property.
(4c−1)(2c+3)

Please help!!
x^2-2x+1-9y^2

Answers

Answer:

[tex]\left(x-1+3y\right)\left(x-1-3y\right)[/tex]

Step-by-step explanation:

[tex]x^2-2x+1-9y^2\\\\factor(skip for time)\\\\\left(x-1\right)^2-9y^2\\\\[/tex]

A little algebra process later...

you got the answer

Hoped this helped ya

<3

Red

Answer:

(x-1-3y) x (x-1+3y)

Step-by-step explanation:

x^2-2x+1-9y^2

Using a^2 - 2ab + b^2 = (a-b)^2 (factor the expression) = (x-1)^2 - 9y^2

(x-1)^2 - 9y^2 = (x-1-3y) x (x-1+3y)  should be the answer :)



The number A8 is a two-digit number with a digit A and units (ones) digit 8.

Similarly, 3B is a two-digit number with tens digit 3 and units digit B.

When A8 is multiplied by 3B, the result is the four digit number 0730. That is,

A8

x 3B

C730

If A, B, and C are each different digits from 0 to 9, determine the values of A.

B. and C.

Answers

Answer:

A = 7

B = 5

C = 2

Step-by-step explanation:

We are given;

A8 × 3B = C730

Now, by inspection, in multiplication of the above, the product of 8 and B must produce a number whose unit digit is 0.

Thus,the only two single digit numbers that can fit this description for B is either 5 or 0 since if they would yield a unit digit of 0 when multiplied by8.

Now, let's test 0.

If B is 0, it means the unit digit of C730 is 0 as wanted while the remaining product of A8 and 3 should yield C73. Now product of A8 and 3 would produce a number with a last digit of 4. But our last digit there in C73 is 3. Thus, it means B cannot be 0 but is 5.

Thus, it means 3B is 35.

Now, we are told that A, B and C could be any single digit number.

from 0 - 9.

Thus, the maximum value of A is 9.

Let's try to put 9 for A and multiply by 35.

If A is 9,then 98 × 35 = 3430

It means that the maximum value of C is 3.

Thus, C can either be 3 or less than 3. So, C is either 1, 2, or 3

Now, if C = 1, it means the C730 is now 1730.

Thus,A8 will be: 1730/35 = 49.43

This is a decimal and thus, it means C ≠ 1.

Now,if C = 2, it means the C730 is now 2730.

Thus,A8 will be: 2730/35 = 78

This is a whole number and thus, it means C = 2

Now,if C = 3, it means the C730 is now 3730.

Thus,A8 will be: 3730/35 = 106.57

This is a decimal and thus, it means C ≠ 3

Thus; A8 is 78 when C = 2

So, A = 7

Brooke paid $45 for a course on candle-making. She spent $106 for wax and supplies, but later she returned one $8 candle mold. How much money did Brooke spend?

Answers

Answer:

143 i think

Step-by-step explanation:

45+ 106= 151

151 - 8 = 143

Answer:

$143

Step-by-step explanation:

106+45= 151

151-8=143

Solve 9/11 + 3/13 × 26/33 - (21/121÷ 71/111)

Answers

Answer:

0.72 or 0.72866953788  0.7  0.72866953788


Your test scores in one class are 78 and 86. What possible scores can you earn on your next test to have a test average between 82 and 88, inclu
Your score on the third test must be between and inclusive?

Answers

Answer:

85

Step-by-step explanation:

Between which two numbers is 3 located on a number line?

Answers

Answer: -2 and -1

You have the correct answer.

Which point is a solution to yz 2x – 1

Answers

Answer:

A.

Step-by-step explanation:

when graphed, it is most close to (0,2) than the rest of these answers.

YO I NEED SOME HALP WITH THIS

Answers

The correct answer is A

Triangle ABC is shown on the coordinate plane below. The triangle is reflected across the y-axis and then translated 3 unit to the right to form triangle A’B’C’.

Answers

Answer: X- (6,8)   Y- (9,8)   Z-(6,4)

Step-by-step explanation:

Please help
Trying to help daughter do virtual. And I stink in this stuff!
w(t) = 3t – 1; t = 5

Answers

The answer is W =14/5 I believe

Answer this please?​

Answers

Answer:

2

Step-by-step explanation:

you just divide 8 by 4 love:)

Sort each set of triangle measurements into the appropriate category for number of possible triangles.
5°, 159, 160°
No Triangles
One Triangle
Many Triangles
45°, 45°, 90°
2, 8, 10
7, 24, 25
30°, 85°, 60°

Answers

Answer:

5

Step-by-step explanation:

Answer:

check picture for  correct  ones

Step-by-step explanation:

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