-1.5(x - 2) = 6. What is X equaled to

Answers

Answer 1
[tex]\begin{gathered} -1.5(x-2)=6 \\ (x-2)=\frac{6}{-1.5} \\ x-2=-4 \\ x=-4+2 \\ x=-2 \\ \\ \text{ x is equal to -2} \end{gathered}[/tex]

Answer 2

Answer:

x-2=6÷(-1.5)

x-2=-4

x=-4-2

x=-6


Related Questions

Mikayla and Courtney both leave the internet cafe at the same time, but in opposite directions. If Courtneytravels 7 mph faster than Mikayla and after 6 hours they are 162 miles apart, how fast is each traveling?

Answers

Courtney travels at 17mph and Mikayla at 10mph

1) In this question, we need to set equations for that.

Courtney Mikayla

v +7 v speed

2) Note that we have to use this relation:

[tex]Speed\, {\times time=distance}[/tex]

So, we can write out the following:

[tex]\begin{gathered} v6+(v+7)6=162 \\ v6+6v+42=162 \\ 12v+42-42=162-42 \\ 12v=120 \\ v=10 \end{gathered}[/tex]

So we can now plug into Mikayla's speed and Courtney

Mikayla travels at 17mph and Courtney at 10mph

find the surface area of the figure and round to the nearest

Answers

The figure in the image is a Hemisphere.

The surface area of a hemisphere is given as:

[tex]3\text{ }\times\text{ }\pi\text{ }\times r^2[/tex]

Thus, the surface area is:

[tex]\begin{gathered} 3\text{ }\times\text{ 3.142 }\times8.6^2 \\ 697.15ft^2 \end{gathered}[/tex]

Hence, the surface area of the figure, to the nearest whole number is 697 square feet.

Find the derivativef(x) = 1 / (x - 2)

Answers

ANSWER

[tex]\frac{df}{dx}=-\frac{1}{(x-2)^2}[/tex]

EXPLANATION

We want to find the derivative of the given function:

[tex]f(x)=\frac{1}{x-2}[/tex]

First, we have to rewrite the function as follows:

[tex]f(x)=(x-2)^{-1}[/tex]

Next, make the following substitution:

[tex]a=x-2[/tex]

The function now becomes:

[tex]f(x)=a^{-1}[/tex]

Apply the chain rule of differentiation:

[tex]\frac{df}{dx}=\frac{df}{da}\cdot\frac{da}{dx}[/tex]

Therefore, we have that:

[tex]\frac{df}{da}=-1\cdot a^{-1-1}=-a^{-2}[/tex]

and:

[tex]\frac{da}{dx}=1[/tex]

Therefore, the differentiation of the function is:

[tex]\begin{gathered} \frac{df}{dx}=-a^{-2}\cdot1 \\ \Rightarrow\frac{df}{dx}=-(x-2)^{-2}\cdot1 \\ \frac{df}{dx}=-\frac{1}{(x-2)^2} \end{gathered}[/tex]

in health class, the students were asked what grain they prefered in their breakfast cereal. The results are shown in the table. what's the probability that a randomly chosen student in the health class listed oats as their favorite grain?A. 20%B. 25%C. 35%D. 14%

Answers

To find the probability of a randomly choosen student listing oats as its favorite grain, divide the number of students that chose oats by the total number of students and multiply the fraction by 100%.

To find the total number of students, add the numbers under each cereal:

[tex]12+14+8+6=40[/tex]

The number of students who chose oats, is 14. Then, the requested probability, is:

[tex]\frac{14}{40}\times100=35\text{ \%}[/tex]

Solve the system of equations.y= x2 - 3x + 6y = 2x + 6

Answers

We have the following:

[tex]\begin{gathered} y=x^2-3x+6 \\ y=2x+6 \end{gathered}[/tex]

We subtract the equations:

[tex]\begin{gathered} y-y=x^2-3x+6-2x-6 \\ 0=x^2-5x \\ 0=x(x-5) \\ x=0;x=5 \end{gathered}[/tex]

for y:

[tex]\begin{gathered} y=2\cdot0+6 \\ y=6 \\ y=2\cdot5+6 \\ y=16 \end{gathered}[/tex]

therefore, the answer is:

(0,6) and (5,16), the option D.

Hey could someone help me out with this thank you

Answers

Karen will run more than 28

ABC is dilated by a factor of 5 produce A'B'C.What is A'C, the length of AC after the dilation? What is the measure of angle A?

Answers

We have that the scale factor is 5, then, the dilation is an enlargement.

Then, the new lengths are:

[tex]\begin{gathered} A^{\prime}C^{\prime}=5AC=5\cdot5=25 \\ A^{\prime}B^{\prime}=5AB=5\cdot4=20 \\ B^{\prime}C^{\prime}=5BC=5\cdot3=15 \end{gathered}[/tex]

therefore, A'C' =25.

Finally, the dilations don't affect the angles, therefore, angle A remains with the measure of 37°

Renta scored 409 points in a video game. This was 223 more points than Sadia score (s). Which equation does not represent this situation? And why?

A) 223 = 409 - s

B) s = 409 - 223

C) s = 409 + 223

D) 223 + s = 409

Answers

Answer:C

Step-by-step explanation: S is equal to a number less than 409 and if you add 223 you go over 409

See photo for problem

Answers

Answer:

possible outcome= {H,T}

number of possible outcome=2

obtaining a tail(T)=1

n(T)=1

P(T)=n(T)/number of possible outcome

=1/2

f(x) = x + 4 and g(x) = x - 1Step 3 of 4: Find (f 3)(x). Simplify your answer.Answer(f)(x) =

Answers

For this problem, we are given two functions, we need to determine the composite between these two expressions.

The two functions are:

[tex]\begin{gathered} f(x)=x+4\\ \\ g(x)=x-1 \end{gathered}[/tex]

This composite is the product of the two functions, therefore we have:

[tex]\begin{gathered} (f\cdot g)(x)=(x+4)\cdot(x-1)\\ \\ (f\cdot g)(x)=x^2-x+4x-4\\ \\ (f\cdot g)(x)=x^2+3x-4 \end{gathered}[/tex]

The answer is x²+3x-4.

Which is a perfect square?583644

Answers

Solution:

A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.

Hence,

[tex]36=6^2=6\times6[/tex]

Therefore, the perfect square is 36.

a gate that is 5 ft tall casts a shadow 9 ft long the house behind the gate cast a shadow of 54 ft how about how many feet tall is the house

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

gate:

hg = 5 ft

shadow = 9ft

house

hh = ?

shadow = 54 ft

Step 02:

We must apply the theorem of thales.

[tex]\frac{hg}{hh}=\frac{shadow\text{ gate}}{\text{shadow house}}[/tex][tex]\frac{5ft}{hh}=\frac{9ft}{54\text{ ft}}[/tex]

hh * 9 ft = 5 ft * 54 ft

hh = (5 ft * 54 ft ) / 9 ft

hh = 270 ft ² / 9 ft = 30 ft

The answer is:

The house is 30ft tall.

The area of a rectangle is 28m^2, and the length of the rectangle is 5 meters less than three times the width. Find the dimensions of the rectangle. L:W:

Answers

The area of a rectangle is given by the formula

[tex]A=L*W[/tex]

where

A=28 m2

L=3W-5

substitute given values in the formula

[tex]\begin{gathered} 28=(3w-5)W \\ 28=3w^2-5w \\ 3w^2-5w-28=0 \end{gathered}[/tex]

Solve the quadratic equation

Using the formula

we have

a=3

b=-5

c=-28

substitute

[tex]w=\frac{-(-5)\pm\sqrt{-5^2-4(3)(-28)}}{2(3)}[/tex][tex]w=\frac{5\pm19}{6}[/tex]

The solutions for w are

w=4 and w=-2.33 ( is not a solution because is a negative number)

so

The width w=4 m

Find out the value of L

L=3w-5=3(4)-5=7 m

therefore

L=7 mW=4 m

Factor the given polynomial by finding the greatest common monomial Factor 6x^3y+9xy^3

Answers

Answer:

(3xy)(2x² + 3y²)

Step-by-step explanation:

Hello!

The greatest common factor for the coefficients is 3, as both terms have a coefficient with the greatest factor of 3.

The greatest common factor for the x-terms is x, as both terms has x to a minimum of the first power.

The greatest common factor for the y terms is y as both terms has y to a minimum of the first power.

Factor out 3xy:6x³y + 9xy³3xy(2x²) + 3xy(3y²)(3xy)(2x² + 3y²)

The factored form is (3xy)(2x² + 3y²).

2.3x + 8 = - 1.7x - 8 solve for x

Answers

The value of x after solving (2.3x + 8) = (-1.7x-8) is -4.

According to the question,

We have the following expression:

(2.3x + 8) = (-1.7x-8)

Now, moving -1.7x from the right hand side to the left hand side will result in the change of its sign from minus to plus:

2.3x+1.7x +8 = -8

4x+8 = -8

Now, moving 8 from the left hand side to the right hand side will also result in the change of the sign from plus to minus:

4x = -8-8

4x = -16

x = -16/4 (4 was in multiplication on the left hand side. So, it is in division on the right hand side.)

x = -4

Hence, the value of x is -4.

To know more about solving here

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A rectangle with an area of 20 square units is dilated by the scale factor of 3.5. find the area of the new rectangle

Answers

We are given the area of a rectangle. The area of a rectangle is the product of the length and the height. Therefore, we have:

[tex]A=lh[/tex]

If we scale the rectangle by a factor of 3.5 this means that we multiply the length and the height by 3.5, like this:

[tex]A^{\prime}=(3.5l)(3.5h)[/tex]

Solving the product:

[tex]A^{\prime}=12.25lh[/tex]

Since "lh" is the original area we have:

[tex]A^{\prime}=12.25A[/tex]

Now, we substitute the value of the original area:

[tex]A^{\prime}=12.25(20)[/tex]

Solving the operations:

[tex]A^{\prime}=245[/tex]

Therefore, the new area is 245 square units.

Derrick's football team needs to raise at least $1,000 for new uniforms they have collected 480 so far which inequality represents the amount of money,m, the team still needs to raise A. m>$480 B. m<$480 C.m<$520 D.m>$520

Answers

The inequality representing the amount of money, m. Derrick's football team needs to raise is D. m>$520

What is inequality?

In mathematics, Inequality is part of equations solved with the use of the some special type of equality signs. The signs used inequality calculations are

greater thanless thangreater than or equal toless than or equal to

Given that:

Derrick's football team needs to raise at least $1,000

The team collected 480

To solve the given problem we have the inequality in the form

at least $1,000 ≡ greater than or equal to 1000

m > $1000

having collected $480 so far. The amount collected is subtracted from the $1000

m > $1000 - $480

m > $520

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On its website a tv station displays temperature data for each hour during the past 24 hours. The data are displayed as using two different functions on a line graph. One function shows the current temperature and the other function shows the historical average. Which quantities are represented by the y-values on the line graph

Answers

, Given the question, we are asked to find which of the quantities are represented by the y-values on the line graph .

Explanation

In the question, we are told that the tv station displays temperature data using two different functions on a line graph. One of the functions shows the current temperature and the other function shows the historical average.

A function, by definition, can only have one output value(y) for any input value. In this case the input values are the time the temperature which we result in the output value of the historical average and temperature.

Therefore,

Answer

Option D

Tank B, which initially contained 80 liters of water, is being drained at a rate of 2.5 liters per minute. How many liters of water remain in the tank after 7 minutes?

Answers

Tank B originally had 80 liters of water.

Water is being drained off the tank at a rate of 2.5 liters per minute.

After 7 minutes have passed, the tank has lost 7*2.5 = 17.5 liters of water.

This means the tank still has 80 - 17.5 = 62.5 liters of water.

After 7 minutes 62.5 liters of water remain in the tank

Ben, Claire and Devon are training for a triathalon. Today, they are practicing their swimming by swimming one mile. Ben swam 0.77 of the mile before stopping. Claire swam 3/5 of the mile and Devon swam 82% of the mile before stopping. Who swam the farthest distance? Who swam the shortest distance?

Answers

Given:

Ben, Claire, and Devon are swimming one mile.

Ben swam 0.77 of the mile before stopping.

So, the distance Ben swam = 0.77 x 1 = 0.77 mile

Claire swam 3/5 of the mile.

So, the distance Claire swam = 3/5 x 1 = 3/5 = 0.6 miles

Devon swam 82% of the mile before stopping.

So, the distance Devon swam = 82% of 1 mile = 0.82 x 1 = 0.82 miles

Arrange the distances in order from the largest to the least:

0.82, 0.77, 0.6

So, the answer will be:

The farthest distance is for Devon = 0.82 miles

The shortest distance is for Claire = 0.6 miles

i need help with this equation please there are two more possible answers that were cut off they are 17,2% and 19,5%

Answers

Consider that the experimental probability of an event is based upon the previous trials and observations of the experiment.

The experimental probability of occurrence of an event is given by,

[tex]\text{Probability of an event}=\frac{\text{ Number of outcomes that favoured the event}}{\text{ Total number of trials or outcomes}}[/tex]

As per the problem, there are a total of 1230 trials of rolling a dice.

And the favourable event is getting a 2.

The corresponding experimental probability is calculated as,

[tex]\begin{gathered} P(\text{ getting a 2})=\frac{\text{ No. of times 2 occurred}}{\text{ Total no. of times the dice is thrown}} \\ P(\text{ getting a 2})=\frac{172}{1230} \\ P(\text{ getting a 2})\approx0.13984 \\ P(\text{ getting a 2})\approx13.98\text{ percent} \end{gathered}[/tex]

Thus, the required probability is 13.98% approximately.

Theref

REI pays $330.30 for a 6-person tent and the markup is 35% of cost. Find the markup.

Answers

First convert 35% into decimal

35% → 0.35

To find 35% of $330.30, multiply it to its decimal

$330.30 ˣ 0.35 = $115.605

Rounding off to the nearest cent.

The markup of the tent is $115.61

How to solve 11 3/7 × 7/10 =

Answers

Given:

The objective is to solve the given equation.

The given equation can be solved by,

[tex]\begin{gathered} =11(\frac{3}{7})\cdot\frac{7}{10} \\ =\frac{11\cdot3}{10} \\ =\frac{33}{10} \\ =3.3 \end{gathered}[/tex]

Hence, the value of the equation is 3.3

Simplify the following expression.(12x-2.1)-(19x+6.9)

Answers

The given algebraic expression is

[tex](12x-2.1)-(19x+6.9)[/tex]

To simplify this expression, we need to solve those parentheses in the first place, multiplying the sign in front of each of them.

[tex]12x-2.1-19x-6.9[/tex]

Now, we reduce like terms. Remember that like terms are those who have the same variable, and those who don't have variables at all.

[tex]12x-19x-2.1-6.9=-7x-9[/tex]

Therefore, the simplest form of the given expression is[tex]-7x-9[/tex]

Your psychology class has 45 students. You want to ask an SRS of four students from your class whether they prefer taking online or face-to-face courses. You label the students 01, 02, . . . , 45. You enter the table of random digits at this line:

78314 96529 67532 98144 28944 26687 49634 88274 20361

Your SRS contains the students labeled

A. 14, 32, 42, 44.
B. 31, 29, 44, 28.
C. 31, 29, 29, 44.
D. 31, 49, 29, 44.
E. 78, 31, 49, 65.

Answers

Answer:

Step-by-step explanation:

The answer is c! :)

Answer:

The answer is B. 31, 29, 44, 28.

Step-by-step explanation:

Question HelpMultiple Representations A vehicle ses 7 gallons of gasoline to travel 147 miles. The vehicle uses gasoline at a steady rate. Use pencil and paper to draw a picture that models the situation Write a table of equivalent ratiosThen use the table to find the number of gallons of gasoline the vehicle uses to travel 63 milesComplete the tableGallons Miles1231411421

Answers

We know a vehicle uses 7 gallons of gasoline to travel 147 miles.

This gives us a ratio: 147/7 = 21

The vehicle travels 21 miles per gallon of gasoline

The situation can be modeled as a line with a constant slope of 21 miles/gallon

If we use the horizontal axis for the number of gallons and the vertical axis for the miles traveled, we can draw an approximate graph

Let's give the gallons (g) some values to fill up the table:

For g=1, miles = 21

For g=2, miles = 42

For g=3, miles = 63

For g=7, miles = 147

For g=14, miles = 294

For g=21, miles = 441

The graph is shown below

The system of equations may be solved by hand calculation or by using the crossing-graphs method.Solve the following system using the crossing-graphs method.2x - y = 04x + 2y = 48(x, y) = (_____,_____)

Answers

The first thing you can do is graph each of the equations. To do this, you can write the equations following the form

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

Where m is the slope of the line and b the intersection point with the y axis. Then

[tex]\begin{gathered} 2x-y=0 \\ 2x=y \\ y=2x \\ \text{ And the other equation} \\ 4x+2y=48\text{ } \\ \text{To simplify the equation, you can divide by 2 both sides of the equation} \\ 2x+y=24 \\ y=-2x+24 \end{gathered}[/tex]

Graphing you have

The solution of the system of equations will be the point at which both lines intersect. Therefore, the solution is (6,2).

helpppppppppppppppppppp

Answers

Answer: [tex]f^{-1}[/tex] = {(17, 16), (8, 3), (3, 8), (4, 4)}

Step-by-step explanation:

   To list the inverse function, we will simply switch the x- and y-values in each coordinate pair. Coordinate points are written as (x, y).

f = {(16, 17), (3, 8), (8, 3), (4, 4)}

[tex]f^{-1}[/tex]= {(17, 16), (8, 3), (3, 8), (4, 4)}

IF log x = 1/₂, find log (10x²)​

Answers

Answer:

2

Step-by-step explanation:

log ab = log a + log b

Similarly,

log 10x² = log 10 + log x²

log a^b = b log a

Similarly,

log 10x² = 2 log x

= 2 * 1/2

= 2/2

= 1

Note :-

The value of log 10 = 1

Hence,

log 10x²

= log 10 + log x²

= 1 + 1

= 2

how do I use a right triangle to write the following expression as an algebraic expression?

Answers

So, we want to express the following:

[tex]\sec (\sin ^{-1}(\frac{x}{\sqrt[]{x^2+81}}))[/tex]

As an algebraic expression.

If:

[tex]\begin{gathered} \sin ^{-1}(\frac{x}{\sqrt[]{x^2+81}})=\theta \\ \text{Then,} \\ \sin (\theta)=\frac{x}{\sqrt[]{x^2+81}} \end{gathered}[/tex]

We could draw the following triangle:

Remember that the secant function relations the hypotenuse of the triangle and the adjacent side of the triangle. So first, we should find the adjacent side using the pythagorean theorem:

[tex]\begin{gathered} a^2=(\sqrt[]{x^2+81})^2-x^2 \\ a^2=x^2+81-x^2 \\ a^2=81\to a=9 \end{gathered}[/tex]

Therefore, the adjacent side is 81. And, the value of:

[tex]\sec (\sin ^{-1}(\frac{x}{\sqrt[]{x^2+81}}))[/tex]

Is:

[tex]\sec (\sin ^{-1}(\frac{x}{\sqrt[]{x^2+81}}))=\frac{\sqrt[]{x^2+81}}{9}[/tex]

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