If RE = 4x + 7, ET = 2(3x - 4), and RT = 43, then find the value for ET.
None of the other answers are correct
18.4
24.6
4.4
44

If RE = 4x + 7, ET = 2(3x - 4), And RT = 43, Then Find The Value For ET.None Of The Other Answers Are

Answers

Answer 1

Answer:

B

Step-by-step explanation:

RT is the combined segments RE and ET. So:

[tex]RT=RE+ET[/tex]

We know that RT is 43, RE is (4x+7) and ET is 2(3x-4). Substitute:

[tex]43=(4x+7)+2(3x-4)[/tex]

Solve for x. Distribute the right:

[tex]43=4x+7+6x-8[/tex]

Combine like terms:

[tex]43=10x-1[/tex]

Add 1 to both sides:

[tex]10x=44[/tex]

Divide both sides by 10:

[tex]x=4.4[/tex]

So, the value of x is 4.4.

ET is defined as 2(3x-4).

We can find ET by substituting 4.4 for x. So:

[tex]ET=2(3(4.4)-4)=2(13.2-4)=2(9.2)=18.4[/tex]

Hence, our answer is B.


Related Questions

According to a college survey, 22% of all students work full time. Find the standard deviation for the random variable X, the number of students who work full time in samples of size 16.

Answers

Answer:

1.66

Step-by-step explanation:

Calculation to find the standard deviation for the random variable X of the number of students who work full time in samples of size

Using this formula

Standard deviation(X)=√np(1−p)

Where,

n represent the number of students=16

p represent the percentage of all students who work full time=22

Let plug in the formula

Standard deviation(X)=√16(0.22)(1−0.22)

Standard deviation(X)=√(3.52)(0.78)

Standard deviation(X)=√2.7456

Standard deviation(X)=1.656

Standard deviation(X)=1.66 (Approximately)

Therefore the standard deviation for the number of students who work full time in samples of size 16 will be 1.66

2/? x 4/2 = 8/14
:>>

Answers

Answer: 7

Step-by-step explanation: 2x4=8. 7x2=14.

The unknown value in the given expression is 7.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given is an expression 2/? x 4/2 = 8/14, we need to find the unknown value,

So,

2/? x 4/2 = 8/14

8/2? = 8/14

1/2? = 1/14

2? = 14

? = 14/2

? = 7

Hence, the unknown value in the given expression is 7.

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Point e,d, and h are the midpoints of the sides of the triangle TUV. UV = 80, TV=100, and HD = 80

Answers

Answer:

Step-by-step explanation:

We will use to midsegment theorem to solve this question.

Midsegment theorem,

Segment joining the midpoints of two sides of a triangle, is parallel and and measure the half of the the third side.

7). HE is the midsegment.

   HE = [tex]\frac{1}{2}(VU)[/tex]

         = [tex]\frac{1}{2}\times (80)[/tex]

         = 40

8). ED = [tex]\frac{1}{2}\times (TV)[/tex]

          = [tex]\frac{1}{2}(100)[/tex]

          = 50

9). HD = [tex]\frac{1}{2}(TU)[/tex]

    TU = 2(HD)

          = 2(80)

          = 160

10). TE = [tex]\frac{1}{2}(TU)[/tex]

           = [tex]\frac{1}{2}\times 160[/tex]

           = 80

see image help me as fast as possible, please

Answers

Complementary = 90 degree
2x - 10 + x - 2 = 90
3x - 12 = 90
3x = 102
x = 34
2(34)-10 = 58 degree

which is bigger 0.159 or 1.590​

Answers

Answer:

1.590

Step-by-step explanation:

Answer:

0.159

Step-by-step explanation:its obvious hope this helped tho

In Jayce's favorite video game, he collects stars to earn points. Today, he collected 80 silver stars and earned 160 points. He also collected 30 gold stars and earned 150 points. How many more points per star does Jayce earn from gold stars?

Answers

Silver stars are worth 2 and gold stars are each worth 5

Jayce earns 3 more points from gold stars than from silver stars.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that Jayce collected 80 silver stars and earned 160 points.

He collected 30 gold stars and earned 150 points.

Therefore,

The points per star Jayce earns from silver stars

160/80=2,

The points per star Jayce earns from gold stars

150/30=5

Hence, Jayce earns 3 more points from gold stars than silver stars.

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At a local car wash, 25 cars can be washed in an hour. How many cars can go through the car wash in an 8-hour day?

Answers

Answer:

200

Step-by-step explanation:

25 cars can be washed in a hour so we do 25×8=200

NEED HELP ASAP PLEASE HELP!!!

HELP PLEASE!!!!!!

Answers

Answer:

1. 230, 219, 208, 197, 186.

2. Arithmetic, you are subtracting a constant rate, instead of an exponential rate.

3. Finite, the question says the farmer only took 10 trips, infinite would be much, much much more trips.

Step-by-step explanation:

1. The pattern is to subtract 11, so you just do this for 3 more times.

2. Geometric sequences could look something like 230-11=219. The you multiply by a random number like 2, then you subtract 219- (11x2), 219-22=197. This sequence does not do that.

3. It says in the question the farmer only does it for 10 more times.

to the nearest tenth of a unit, what is the distance between (4,5) and (-8,1)?

Answers

Answer:

A) 12.6 units

Step-by-step explanation:

Suppose you have a ​$​3-off coupon at a fabric store. You buy fabric that costs ​$9.50 per yard. Write an equation that models the total amount of money y you pay if you buy x yards of fabric. What is the graph of the​ equation?

Answers

Y = 9.50x - 3 you would just plug in the ammount of yards you are buying

Help plzz will give brainliest

Answers

Answer:

18.2

Step-by-step explanation:

because 17+24+19+17+14=91 then 91/how ever many numbers are in the equation not including the answer is what what you divide by in this case it is 5 so 91/5 is 18.2

Hope this helped!!

                           

18.2 is the answer to your question you know why because I know it is

Solve the proportion 6/y=9/24

Answers

Answer:

It would be 16!

Step-by-step explanation:

Step 1 : 6 times 24 is 144

Step 2 : 144/9

Answer 16!

Answer:

ur dad and. ur mom plus ur dad mama ififjfifnfbfndjfkjfif

Solve the following equation for y: -4x+8y=24

Answers

Answer: y = 3 + x/2

Step-by-step explanation:

Which of these is an example of typing at an average rate of 42 words per minute?

Answers

Answer:

28 in 2/3

Step-by-step explanation:

42/ 28 = 1.5

60/1.5= 40

40/60-4/6=2/3

28 in 2/3

please answer correctly see image bellow.

Answers

Answer:

51.9 sec

Step-by-step explanation:

Kenneth bought x adult tickets at $10 each and y children tickets at $5
each. He spent $120 total. Write an equation to represent this situation.
Then, solve for y.

Answers

Answer:

10x+5y=120

y=-2x+24

Step-by-step explanation:

x=adult tickets

y=children tickets

120=total spent

10x+5y=120

5y=120-10x

y=(120/5)-(10x/5)

y=24-2x or y=-2x+24

Mateo has already swum Four-fifths of the 2,000 meters he is swimming today. If he continues swimming at a pace of Three-fourths of a meter per second, which expression shows the amount of time it will take him to swim the remaining distance? A. 2000 times four-fifths times three-fourths B. 2000 times four-fifths divided by three-fourths C. 2000 times one-fifth times three-fourths D. 2000 times one-fifth divided by three-fourths

Answers

Answer:

D

Step-by-step explanation:

The amount of time that will take him to swim the remaining distance will be [2,000 (1/5)] / (3/4). Then the correct option is D.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

Mateo has proactively swum Four-fifths of the 2,000 meters he is swimming today. On the off chance that he keeps swimming at a speed of Three-fourths of a meter each second.

3/4 = 2,000 (1 - 4/5) / T

T = [2,000 (1/5)] / (3/4)

The amount of time that will take him to swim the remaining distance will be [2,000 (1/5)] / (3/4). Then the correct option is D.

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Which represents the solution set of the inequality 5x-921

Answers

See attachment for answer:

HHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPpppppppppJane sells pillows. For a sale, she marks them down 5%. If the original price of a pillow is $15.00, what is the sale price?

Answers

Answer:

$ 14.25 this is probably the answer

The required two expressions are

(1-0.05)P

0.95 P

Step-by-step explanation:

First method : Here, the original price of pillow = P,

She marks them down 5%

Thus, the selling price = P - 5% of P = P - 0.05 P = (1-0.05)P

Second method :

Since, some number is 100% of itself,

⇒ 100 % = P

⇒ 1 % = P/100 = 0.01 P

Also, by decreasing 5 % from 100 %

The remaining percentage = 100 - 5 = 95%

⇒ 95 % = 95 × 0.01 = 0.95 P

Robert has fish, chickens, and dogs. There are 28 eyes total and 16 legs total. Also, there are twice as many fish as chickens. How many dogs are there?

Answers

Answer : 2 dogs.
Explanation : If there were 2dogs there would be 8 legs. That means 8 legs belong to 4 chickens. 2 dogs and 4 chickens is 12 eyes. If the number of fish is double the number of chickens, there would be 8 fish. 8 fish is 16 eyes. 16 fish eyes + 4 dog eyes and 8 fish eyes is 28 eyes.

Name
Date
Class
LESSOn
10-2
Graphing Systems of Linear Inequalities
Practice and Problem Solving: Modified

Answers

Answer:

kpealeakara

Mon. Nov. 16 2020

ss1

8

Answer:

8 is your answer am right or wrong

HELP MEEEEE PLEASEEEEEE

Answers

Answer:

Step-by-step explanation:

2x + 1 = 5

2x = 4

x = 2

Answer : 11
Explained : Substitute 5 for x. You now have 2(5)+1. 2(5)=10. 10+1=11.

PLEASE HELP ASAP WILL GIVE BRAINLEIST
Aubrey owes $60 in interest on a loan of $500. If the loan was borrowed for 3 years, find the interest rate.

Answers

Answer

it would be $20 a year so it would be a 4% interest rate

Step-by-step explanation:

6. The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero​

Answers

Answer:

hio

Step-by-step explanation:

hi

As early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.

Given that, the ancient Babylonians were writing fractions in 1800 BCE.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

In fact, at first, fractions weren't even thought of as numbers in their own right at all, just a way of comparing whole numbers with each other.

The word fraction actually comes from the Latin "fractio" which means to break. To understand how fractions have developed into the form we recognize, we'll have to step back even further in time to discover what the first number systems were like.

From as early as 1800 BC, the Egyptians were writing fractions. Their number system was a base 10 idea (a little bit like ours now) so they had separate symbols for 1, 10, 100, 1000, 10000, 100000 and 1000000.

Hence, as early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.

To learn more about the fraction visit:

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see image help me as fast as possible, please

Answers

Answer:

28.2

Step-by-step explanation:

radius of semicircle=(4/2) = 2

circumference of circle=

[tex]2\pi \:r[/tex]

[tex]circumference \: of \: semicircle = 0.5 \times 2\pi \:r[/tex]

perimeter=9+9+2pi+4

=28.2

A Ferris Wheel is set up at the carnival it has a diameter of 45 feet. What is the total circumference if the ferris wheel makes 4 rotations around?

Answers

Answer:

The circumference is 565.2 feet when the ferris wheel makes 4 rotations.

Step-by-step explanation:

Given that the diameter of the wheel is 45 feet.

That is:

[tex]d = 45\ feet[/tex]

We have to find the radius first

[tex]r = \frac{d}{2} = \frac{45}{2} = 22.5\ feet[/tex]

The circumference of the circular wheel for one rotation will be:

[tex]C = 2\pi r[/tex]

And for four rotations' circumference the circumference of one rotation will be multiplied with 4.

[tex]C = 2 * 3.14 * 22.5\\C = 141.3\ feet[/tex]

Total circumference:

[tex]C_T = 4C\\= 4 * 141.3\\=565.2\ feet[/tex]

Hence,

The circumference is 565.2 feet when the ferris wheel makes 4 rotations.

what is the slope of the line through (-1 2) and (-3 -2)

Answers

Answer:

m=2

Step-by-step explanation:

Answer:

slope = 2

Step-by-step explanation:

(x₁ , y₁) = (-1 , 2)    & (x₂ , y₂) = (-3 , -2)

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{-2-2}{-3-[-1]}\\\\= \frac{-4}{-3+1}\\\\= \frac{-4}{-2}\\\\= 2[/tex]

Write the slope-intercept form of the equation of the line through the given point with the given slope.

Answers

Answer:

1) y = -7 -1x

2) y = + 4.5 + 5/8x

3) y = 4 -1/5x

4) y = -5 + 9x

5) y = 7 + 3/2x

6) y = -6 -1/4x

Step-by-step explanation:

I Hope That This Helps! :)

A line passes through the point (10,9) and has a slope of 3/2. Write an equation in slope intercept form for this line

Answers

Answer:

The equation of line passing through (10,9) and having slope 3/2 is: [tex]y = \frac{3}{2}x-6[/tex]

Step-by-step explanation:

The slope intercept form of a line is given by:

[tex]y=mx+b[/tex]

We are given

Slope = m = 3/2

Point = (10,9)

Putting the value of the slope in the equation we get

[tex]y = \frac{3}{2}x+b[/tex]

b is the y-intercept. To find the y-intercept we have to put the point through which the line passes in the equation.

Putting (10,9) in the equation

[tex]9 = \frac{3}{2}(10) +b\\9 = 15+b\\b = 9-15\\b = -6[/tex]

Putting b=-6 in the equation

[tex]y = \frac{3}{2}x-6[/tex]

Hence,

The equation of line passing through (10,9) and having slope 3/2 is: [tex]y = \frac{3}{2}x-6[/tex]

-2(1/3x-1/5) please help

Answers

Answer: -2/3x+/2/5

Step-by-step explanation:

−2(13x−15)=  (−2) (13x  + −15) =   (−2)(13x)+(−2)(−15)

Answer:

-2/3x +2/5

Step-by-step explanation:

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