How many solutions does this equation have?

–6 − 8r = 8 − r

Answers

Answer 1

Answer:

1

Step-by-step explanation:

–6 − 8r = 8 − r

− 8r - r = 8 + 6

-9r = 14

r = -14/9

Answer 2

Answer:

r =-2

Step-by-step explanation:

–6 − 8r = 8 − r

Add r to each side

–6 − 8r+r = 8 − r+r

-6 -7r = 8

Add 6 to each side

-6+6 -7r = 8+6

-7r = 14

Divide each side by -7

-7r/-7 = 14/-7

r =-2


Related Questions

3
Find the volume of the prism. *
1.5 m
2 m
4 m

Answer choices are:
A) 8m^3
B) 12m^3
C)10m^3
6m^3

Answers

Answer:

[tex]12m^{3}[/tex]

Step-by-step explanation:

Multiply all the variables together to get the answer (only for rectangular prism).

So I basically did 4 x 2 x 1.5 = 12 Then I applied the unit of measurement and cubic meters as it is volume.The formula is length x width x height

Use the Quadratic Formula to solve 2x^2=5x=6. Leave your answer in radical form. Show all work!

Answers

Answer:

[tex]x=\frac{-5+-i\sqrt{23} }{4}[/tex]

Step-by-step explanation

The quadratic formula is [tex]x=-\frac{-b+-\sqrt{bx^{2 -4ac} } }{2a}[/tex]

Answer:

-5  ± sqrt(73))  

 ----------------------------

       4

Step-by-step explanation:

2x^2 +5x =6

Subtract 6 from each side

2x^2 +5x -6 =0

This is in the form

ax^2 +bx+c  where a=2  b=5 and c=-6

The quadratic is -b ± sqrt(b^2 -4ac)  

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

                                         2a

-5  ± sqrt(5^2 -4(2)(-6))  

 ----------------------------

       2(2)

-5  ±sqrt(25 +48))  

 ----------------------------

       4

-5  ± sqrt(73))  

 ----------------------------

       4

Una caja grande cuesta lo mismo que tres pequeñas. Si 7 cajas grandes y 4 pequeñas cuestan $12 más que 4 grandes y 7 pequeñas ¿Cuál es el sistema de ecuaciones que modela el sistema?

Answers

Answer:

[tex] x = 3y [/tex]

[tex]7x+4y= 12 + 4x+7y[/tex]

Step-by-step explanation:

Para resolver la pregunta, basta con definir variables adecuadas y traducir cada relación. Sea x el costo de una caja grande e y el costo de una caja pequeña. Tenemos que el costo de una caja grande es igual a 3 cajas pequeñas. Es decir, x = 3y. Luego, tenemos que

[tex]7x+4y= 12 + 4x+7y[/tex]

pues al sumarle 12 al costo de 4grande y 7 pequeñas obtenemos el costo de 7 grande y cuatro pequeñas. De aquí, el sistema de ecuaciones que modela el sistema es

[tex] x = 3y [/tex]

[tex]7x+4y= 12 + 4x+7y[/tex]

Identify the outlier of the data set.
3,4,4,5,5,6,6,7,7,7,8,20
a
20
b
8
oooo
C
6.8
d
3

Answers

Answer:

a.20

Step-by-step explanation:

20 is standing out from the rest of the numbers

The original price of a jacket is $75 , you have a 25% off coupon, how much will you pay for the jacket

Answers

Answer:

18.75

Step-by-step explanation:

75 is the 100% price. If you divide 75 by two you will get the 50% price. Which is 37.5. If you divide that by two you will get the 25% price which is 18.75

What is the equation of a line passing through 1,2 and -2,5

Answers

Answer:

y=-1x+3

Step-by-step explanation:

2-5/1+2

-3/3

-1

y=-1x+b

2=-1+b

b=3

y=-1x+3

If the sides of a triangle are in the ratio 5 is to 4 is to 3 and its area is 54 CM square find perimeter ​

Answers

Answer:

Perimeter = 36 cm

Step-by-step explanation:

Ratio of sides = 5:4:3

Sides are:

a =  5x ; b= 4x ; c =  3x

Semi perimeter  S = (a + b+ c )/2 = (5x + 4x +3x)/2 = 12x /2  = 6x

S - a = 6x - 5x = x

S - b = 6x - 4x = 2x

S - c = 6x - 3x = 3x

[tex]Area=\sqrt{S*(S-a)*(S-b)*(S-c)}\\\\\sqrt{6x*x*2x*3x}=54\\\\\sqrt{36x^{4}}=54\\\\6x^{2}=54\\\\x^{2}=\frac{54}{6}\\\\x^{2}=9\\\\x=\sqrt{9}\\\\ x=3\\[/tex]

sides of triangle:

a = 5x = 5*3 = 15 cm

b = 4x = 4*3 = 12 cm

c = 3x = 3*3 = 9 cm

Perimeter =  15 + 12 + 9 = 36 cm

A jar contains 666 red jelly beans, 444 green jelly beans, and 444 blue jelly beans.
If we choose a jelly bean, then another jelly bean without putting the first one back in the jar, what is the probability that the first jelly bean will be blue and the second will be blue as well?


Answers

Answer:

Step-by-step explanation:

P(first blue) =  444/ 1554

P(second blue) = 443/1553

P(first blue + second blue) = 444/ 1554 * 443/1553 = 0.08

The area of a square is 16 square units. What is the length of a side?

Answers

Answer:

4 is the length of a side.

Step-by-step explanation:

16 divided by 4 equals 4

Answer:

4 units

Step-by-step explanation:

The area of a square is denoted by: A = s², where s is the side length.

Here, we know that the area is 16, so plug this in for A:

A = s²

16 = s²

s = √16 = 4

Thus, the side length is 4 units.

~ an aesthetics lover

Which expression is equivalent to 2.2 - 2.5?
A 2.5 - 2.2
B 2.2 + 2.5
C 2.2+(-2.5)
D 2.2 - (-2.5)

Answers

Answer:

C

Step-by-step explanation:

2.2-2.5

Since a + and a - make a minus if we have 2.2+(-2.5) we would get 2.2-2.5. So C is the anwser.

can someone tell me how to do this

Answers

Answer:

must not be

Step-by-step explanation:

The whole thing equals 360 degrees

Angle B and Angle D are equal; which equals 190 degrees.

Add Angle A to 190 degrees; which is 86 + 190 = 276.

Subtract 360, which is what the whole thing equals, and 276, which is the known angle added together, and you get 56.

In order for this to be a parallelogram, the opposite angles need to be equal.

Since they are not, the answer is must not be.

HELPPP I NEED IT I DONT KNOW WHAT TO DO

Answers

Answer:

3/2

Step-by-step explanation:

Its because its saying the largest box to the smallest.

since the largest box has a side of 3 it should be on top and the smallest is 2, should be on the bottom.

Ignore all negetive fraction because they are useless.

State the degree of each expression.
1) 10x10 + x

Answers

Answer:

10x10x10

Step-by-step explanation:

Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000. When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01. if im not right i tried to fix the math question

Miguel stated that any monomial can be a cube root. Sylvia disagreed and said that a monomial cube root must have exponents divisible by 3. Who is correct, and why?

Sylvia is correct. Any variable term, when it is cubed, always has an exponent divisible by 3.
Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
Sylvia is correct. In order for the cube to have exponents that are divisible by 3, the cube root has to be divisible by 3.
Miguel is correct. Sylvia confused the perfect square root with the perfect cube root.

Answers

Option B. is correct

What is a polynomial equation?

Polynomial equation are equation of number independent variables having relationship with dependent variable.

Since,
A monomial can have higher exponents so its exponents has probability to get divisible by 3 so when cube root for monomial performed.  
for example [tex]\sqrt[3]{x^3}[/tex] = x

Thus, Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.

Learn more about polynomial here:

brainly.com/question/11536910

#SPJ2

Answer:

option B

Step-by-step explanation:

edge 2023

15 POINTS. AND I WILL MARK BRAINLIEST!!!!
what is the angle of rotation symmetry for a shape that has rotational symmetry of order 5?

Answers

Answer: 72 degrees

Step-by-step explanation:

Use Pythagorean Theorem to find the missing side length. Round to the nearest tenth.

Answers

Answer:

15.1

Step-by-step explanation:

The Pythagorean theorem is

a^2 +b^2 = c^2

23^2 + b^2 = 27.5^2

529 +b^2 =756.25

Subtract 529 from each side

529-529+b^2 =756.25-529

b^2 =227.25

Take the square root of each side

b =sqrt(227.25)

b =15.07481343

To the nearest tenth

b = 15.1

Answer:

15.1

Step-by-step explanation:

Jimmy pumps 288,000 cubic centimeters of air into a spherical balloon. What is the radius of the balloon?

There are no options to choose from

Answers

Answer:

r: radius of balloon

V = (4/3)*pi*r^3 =  288000

=> r^3 = 288000*(3/4)/pi

=> r^3 = 68754.94

=> r = [tex]\sqrt[3]{68754.94}[/tex] = ~40.97 cm

The circular ring of the fountain has a radius of 9 feet. What is the area of the ring?

Answers

Answer:

about 254.47

Step-by-step explanation

Circle are equation: pi(r)^2

pi(9)^2 = 254.47

A sphere-shaped beach ball is 16 inches in diameter. How many cubic inches of air will the ball hold when it is fully inflated? Use 3.14 for π. Round your answer to the nearest tenth.
a.682.7 cubic inches
b.2,143.6 cubic inches
c.5,461.3 cubic inches
d.17,148.6 cubic inches

Answers

5,41.3 cubic inches

Consider the system of equations. 5x + 2y = 6, 10x + 4y = 12 Which equation is equivalent to the first equation of the system and can be used to solve the system using the linear combination method

Answers

Step-by-step explanation:

(5x+2y=6)2

10x+4y=12

10x+4y=12 then substract

10x+4y=12

0=0 true so, it have infinite s/n

50. Express
-44 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️

Answers

Answer:

A

Step-by-step explanation:

i is the same as negative squareroot of one. Then you have 2 squareoot of 11 which is the same as squareroot of 44

Jessie installed 12 more axles than the number of engine blocks her friend Gus installed yesterday. Write an equation for g, the number of engine blocks Gus installed yesterday.

Answers

Answer:

g = j - 12

Step-by-step explanation:

We know that if g is Gus' number of engine quantity, then j is Jessie's number of engine quantity, from this statement we have that Jessie made 12 more than Gus, therefore:

j = g + 12

if we solve for g:

g = j - 12

which is the same as saying that Gus made 12 number of engine less than Jessie

Answer:

g = x - 12

where x is the number of axles installed by Jessie

Step-by-step explanation:

Using a simple analogy. If a man has 7 cars while his friend has 3 cars, The statement may be written as the man has 4 cars more than his friend. The 4 cars being the difference between the number of cars he has and the number his friend has.

As such, if the number of engine blocks installed by Gus is g and Jessie installed 12 more axles than the number of engine blocks Gus installed yesterday, where Jessie must have installed x axles,

x = g + 12

Such that

g = x - 12

how do I solve for x and y? ​

Answers

8/20=y/25
(0.4=y/25)*25
Y= 10
__________
8/20=(x+4)/15
0.4*15=x+4
6=x+4
X=2

Answer:

x=2  y=10

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

15            20

-----  = -------------

x+4         8

Using cross products

8*15 = 20 (x+4)

120 = 20(x+4)

Divide each side by 20

120/20 = 20(x+4)/20

6 = x+4

Subtract 4 from each side

6-4 = x+4-4

2 =x

25            20

-----  = -------------

y           8

Using cross products

25*8 = 20y

200 =20y

Divide by 20

200/20 = 20y/20

10=y

What is the negative square root of 4,900?

Answers

Answer: -70

Step-by-step explanation: hope I helped

I’m thinking the answer is -79

which of the following statements correctlydescribes the points

Answers

The first statement is correct

To calculate the distance we have to substrate the values of the Y axis only since X values are constant so the distance IS 4 - - 7=4+7=11

Answer:

The first answer. The distance is 11.

Un laboratorio comercializa perfume en frascos que tienen una capacidad de 3/20 de litros ¿ cuantos litros de perfume se han de fabricar para llenar 1.000 frascos?

Answers

Answer:

Se debe fabricar 150 litros para llenar 1.000 frascos

Step-by-step explanation:

Segun los datos en el ejercicio un laboratorio comercializa perfume en frascos que tienen una capacidad de 3/20 de litros.

Para saber cuantos litros de perfume se han de fabricar para llenar 1.000 frascos hay que multiplicar la capacidad de los frascos por el número de frascos con el siguiente calculo:

litros de perfume se han de fabricar para llenar 1.000 frascos=(1,000/20) x 3

litros de perfume=50 x3

litros de perfume=150

Se debe fabricar 150 litros para llenar 1.000 frascos

Maxis taking a cross-country road trip. Gas prices vary as the friends travel across the US from $4 dollars per gallon on the east coast, to $3 in the mid-US, to $5 on the west coast. B On their way back they had more baggage in the car and spend $601 for 174 gallons of gas. Based on the same ratio as in Part (a), how many gallons of gas did they buy at each price?

Answers

Answer:

A) The amount of gas they bought on each coast;

East Coast = 35 gallons

Mid-US = 100 gallons

West Coast = 15 gallons

B) The amount of gas they bought on each coast on the return journey;

East Coast = 37 gallons

Mid-US = 116 gallons

West Coast = 21 gallons

Step-by-step explanation:

Complete Question

Maxis taking a cross-country road trip. Gas prices vary as the friends travel across the US from $4 dollars per gallon on the east coast to $3 in the mid-US, to $5 on the west coast.

(a) If they used twice as much gas in the mid-US than on either coast combined, and they spend $515 on gas to purchased 150 gallons of gas, how many gallons of gas did they buy at each price?

The answer to this question is East Coast - 35 gal, Mid-US - 100 gal, West Coast - 15 gal.

(b) On their way back they had more baggage in the car and spend $601 for 174 gallons of gas. Based on the same ratio as in Part (a), how many gallons of gas did they buy at each price? I don't know the answer to this one

Solution

Let the amount of fuel bought on the east coast = x gallons

Let the amount of fuel bought on the mid-coast = y gallons

Let the amount of fuel bought on the west coast = z gallons

a) - They used twice as much gas in the mid-US than on either coast combined

y = 2(x + z) = 2x + 2z (eqn 1)

- They spend $515 on gas to purchase 150 gallons of gas.

Total gallons purchased = x + y + z = 150

Total amount spent = 4x + 3y + 5z = 515

From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations

x + y + z = x + 2x + 2z + z = 150

3x + 3z = 150

Divide through by 3

x + z = 50 (eqn *)

4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 515

4x + 6x + 6z + 5z = 515

10x + 11z = 515 (eqn **)

x + z = 50

10x + 11z = 515

Solving the simultaneous equation,

x = 35 gallons

z = 15 gallons

y = 2x + 2z = 2(35 + 15) = 100 gallons

B) On the return journey, the ratio between x, y and z is still the same, but the total gallons and total amount spent is now different.

They used twice as much gas in the mid-US than on either coast combined

y = 2(x + z) = 2x + 2z (eqn 1)

- They spend $601 on gas to purchase 174 gallons of gas.

Total gallons purchased = x + y + z = 174

Total amount spent = 4x + 3y + 5z = 601

From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations

x + y + z = x + 2x + 2z + z = 174

3x + 3z = 174

Divide through by 3

x + z = 58 (eqn *)

4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 601

4x + 6x + 6z + 5z = 601

10x + 11z = 601 (eqn **)

x + z = 58

10x + 11z = 601

Solving the simultaneous equation,

x = 37 gallons

z = 21 gallons

y = 2x + 2z = 2(37 + 21) = 116 gallons

Hope this Helps!!!

What is the slope of the line

Answers

the slope of the line above is -2

The growth of a population of bacteria can be modeled by an exponential function. The graph models the population of the bacteria colony P(t) as a function of the time t, in weeks, that has passed. The initial population of the bacteria colony was 500. What is the domain of the function? What does the domain represent in this context?

Answers

Answer:

t ≥0

Step-by-step explanation:

Given the information:

The initial population: 500

The graph models the population of the bacteria colony P(t) as a function of the time t, in weeks,

=> our function is: P(t) =500*[tex]b^{t}[/tex] where b is the base number and it is ≥0

What is the domain of the function?

The domain of exponential functions is all real numbers greater than zero

<=> t ≥0 (because t present for the time and time can not have negative value)  

What does the domain represent in this context?

t  is the independent variable is this exponential function and the population of bacteria depends on the change of t.

Because it is the growth function so the range (the population of bacteria) increase over its domain (the time)

Hope it will find you well.

Solve this equation.What is the length of x?

Answers

Answer:

6. 12.5 cm

7. 0.7241

Step-by-step explanation:

6.

You have 2 right triangles. You can use the Pythagorean theorem for each one.

a^2 + b^2 = c^2

Let y = length of vertical side between triangles.

Left triangle:

5^2 + y^2 = 13^2

25 + y^2 = 169

y^2 = 144

y = 12

Right triangle:

3.5^2 + 12^2 = x^2

12.25 + 144 = x^2

x^2 = 156.25

x = 12.5

Answer: x  12.5 cm

7.

For <X, 2.0 ft is adj leg. 2.9 ft is hyp.

cos X = 2.0/2.9 = 0.6897

X = cos^1 0.6897 = 46.397 deg

sin X = sin 46.397 deg = 0.7241

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