Solve the equation 7b-27=8(6+4b)

Answers

Answer 1

Answer:

b = -3

Step-by-step explanation:

7b-27=8(6+4b)

Distribute

7b -27 = 48 + 32b

Subtract 7b from each side

7b-7b-27=48+32b-7b

-27 = 48+25b

Subtract 48 from each side

-27-48 = 48+25b -47

-75 = 25b

Divide each side by 25

-75/-25 =25b/25

-3 =b

Answer 2

Answer: b= -3

Step-by-step explanation:

[tex]7b-27=8\left(6+4b\right)[/tex]

distribute

[tex]7b-27=48+32b[/tex]

add 27 to both sides

[tex]7b-27+27=48+32b+27[/tex]

[tex]7b=32b+75[/tex]

subtract 32b on both sides

[tex]7b-32b=32b+75-32b[/tex]

divide -25 on both sides

[tex]-25b=75[/tex]

[tex]b=-3[/tex]


Related Questions

What is the value of z for the equation fraction 1 over 2z = −fraction 3 over 4 + fraction 1 over 4z? −3 −1 1 3

Answers

Answer:

z= -3

Step-by-step explanation:

Given:

1/2z =-3/4 + 1/4z

Collect like terms

1/2z - 1/4z = -3/4

Add 1/2z - 1/4z

2z-z / 4 = -3/4

We have

z/4=-3/4

Same as

z(1/4) = -3/4

Divide both sides by 1/4

z(1/4) ÷ 1/4 = -3/4÷1/4

z(1/4) × 4/1= -3/4 × 4/1

z(4/4) = -12/4

z= -3

The value of z= -3

Answer:

-3

Step-by-step explanation:

I got it right on the test

a bottle is completely filled with olive oil the mass of the bottle is 500 grams if the density of the oil os 0.92 grams per milliliter what is the volume of the bottle to the nearest milliliter?

Answers

Answer:

543.48 millimetre

Step-by-step explanation:

mass/density = volume

500 grams / 0.92 grams per millimetre = 543.48

Answer:

volume = 543.478 cm³

Step-by-step explanation:

Density = mass / volume

0.92g/ml = 500g / volume

volume (0.92g/ml) = 500g

volume = 500g / (0.92g/ml)

volume = 543.478 ml    (aprox. to the nearest mililiter)

1 ml = 1cm³

543.478ml = 543.478 cm³

1A-MATH
Diviwuetalls
2 Exercise 7:
Your ansv
Type you
The three angles in a triangle are labeled A, B and C.
A = 2x
B= 3x
C=4x
Private coi
1) calculate X
2) find the actual angle of B
3) find the exterior angle to B

Answers

Answer:

Value of x = 20°

Angle B = 60°

Exterior angle to B = 300°

Step-by-step explanation:

Given:

Angles of triangle.

A = 2x

B = 3x

C = 4x

We know that,

A + B + C = 180°

2x + 3x + 4x = 180°

9x = 180°

x = 20°

Value of x = 20°

Angle B = 3x

Angle B = 3(20°)

Angle B = 60°

Exterior angle to B = 360° - 60°

Exterior angle to B = 300°

area of a parrollelogram with a base length of 2.9ft and a height of 5.5ft​

Answers

Answer:

[tex] \boxed{15.95 \: {ft}^{2} }[/tex]

Step-by-step explanation:

base length ( b ) = 2.9 ft

Height ( h ) = 5.5 ft

Let's find the area of parallelogram:

Area of parallelogram : [tex] \mathsf{ = b \times h}[/tex]

plug the values

⇒[tex] \mathsf{2.9 \times 5.5}[/tex]

Multiply

⇒[tex] \mathsf{15.95}[/tex] ft²

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

Extra information:

Parallelogram

The quadrilateral in which opposites sides are parallel is called a parallelogram.

The opposite sides of a parallelogram are equal.The opposite angles of a parallelogram are equal.The diagonals of a parallelogram bisect each other.The area of a parallelogram = base × height

Hope I helped!

Best regards!

Area of Parallelogram formula = LxW or LxH. L(2.9) x H(5.5) = 15.95 ft. Hope this helps!

Marta esta poniendo sus libros en una estantería. Le faltan 7 libros para poder poner 12 en cada estante; sin embargo, si pone 10 libros en cada estante, se quedan 5 libros sin poner. ¿Cuantos es antes tiene la estantería?

Answers

Answer:

x = 6       la cantidad de estantes

y = 65    cantidad de libros

Step-by-step explanation:

LLamemos "x" la cantidad de estantes que tiene Marta, y llamaremos "y" la cantidad de libros.

La primera condición que se debe cumplir es que cuando Marta coloca 12 libros en cada estante entonces le faltan 7, esto lo expresamos así:

y  +  7  = 12*x        (1)

La segunda condición establece que si Marta coloca los libros en número de 10 por estante le quedan 5 sin colocar, luego esto en lenguaje matemático se expresa así:

y  -   5   = 10*x     (2)

Ahora hemos obtenido un sistema de dos ecuaciones con dos incógnitas que se resuelve por cualquiera de los métodos conocidos, usaremos el método de sustitución.

Despejamos   y en la primera ecuación y lo sustituimos en la segunda, de esa forma obtendremos el valor de x

y  =  12*x  - 7

(12*x - 7 ) - 5  = 10*x

2*x  -12 = 0

2*x = 12

x = 6       la cantidad de estantes, y

y  =  12*x -7

y  =  72  -  7

y =  65    cantidad de libros

what is the value of the expression below when x= 5 and y= 5? 6x - 6y

Answers

Step-by-step explanation:

since, x = 5 and y = 5

we substitute the values to the equation 6x - 6y

So:

6(5) - 6(5)

= 30 - 30

= 0

I hope this helps!

Step-by-step explanation:

IS 0 thanks me latter:))!

What is the value of x

Answers

Answer:4,24

Step-by-step explanation:

2(4x+x)=60

10x=60

x=6

4*6=24

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2 ( l + b ) = 60

here,

l = 4x

b = x

so,

2 ( l + b ) = 60

2 ( 4x + x ) = 60

2 ( 5x ) = 60

5x = 60 / 2

5x = 30

x = 30 / 5

x = 6

so l = 4x = 4 × 6 = 24

b = x = 6

you can also recheck it by

2 ( l + b )

2 ( 24 + 6 )

= 2 × 30

= 60

Which is equal to the perimeter.

Hope this helps

plz mark as brainliest!!!!!

BRAINLIEST, 5 STARS AND THANKS IF ANSWERED CORRECTLY.

A quadratic equation with a negative discriminant has a graph that..

A. touches the x-axis but does not cross it
B. opens downward and crosses the x-axis twice
C. crosses the x-axis twice.
D. never crosses the x-axis.

Answers

Answer:

never crosses the x-axis.

Step-by-step explanation:

     A quadratic equation with a negative discriminant has a graph that - never crosses the x-axis.

Answer:

The graph of a quadratic equation that has a negative discriminant is the one that never intersect x-axis. The graph of a quadratic equation that has a zero discriminant is the one that intersect x-axis at only one point. To be clearer, it can be seen in the attached image.

Step-by-step explanation:

Answer D

There are a total of two hundred students and chaperones going on a
field trip. Each bus can hold 60 passengers. How many buses will be
used for the field trip? Explain why your answer is reasonable.

Answers

Answer:

4 bus is required for field trip to carry 200 passengers.

Step-by-step explanation:

Total no . of passengers = 200

let the be x bus required to carry 200 passengers

capacity of 1 bus = 60 passengers

capacity of x bus = 60*x passengers = 60x passengers

Thus,

60x = 200

x = 200/60 = 3 2/3

thus, 3.66 bus is required , but no. of bus cannot be in fraction hence we take integral value greater than 3.66 which is 4

Thus, 4 bus is required for field trip to carry 200 passenger.

**Yoxelt buys 4 1/ 2 gallons of soda. One-fourth of the soda he bought was Pepsi and the rest was Sprite. How many gallons of Pepsi did Yoxelt buy? Show all work below.

Answers

Answer:

1 1/8

Step-by-step explanation:

1/4 of 4 1/2 is Pepsi.

1/4 * 4 1/2 = (1/4) * 4 + (1/4) * (1/2) = 1 1/8

PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!The technology stock has risen to $9.80 today. Yesterday's price was $9.67. Find the percentage increase

Answers

Answer:

1.34%

Step-by-step explanation:

First of all subtract the 2 values

9.84−9.71=0.13

use this value and find the percentage from the original price which was 9.71

0.13

-------  ⋅100

9.71

percentage increase is

1.34%

Madison needs to buy enough meat to make 1,000 hamburgers will weigh 0.25 pound. How many pounds of hamburger meat should Madison buy

Answers

Answer:

Madison is gonna need to buy 250 pounds of meat.

Feel free to Brainliest :)

For the function F(x)= 1/x-2 whose graph is shown below, what is the relative value of F(x) when the value of x is close to 2?​

Answers

Answer:

10,000

Step-by-step explanation:

A car is averaging 50 miles per hour. If the car maintains this speed, how many minutes less would a 450-mile trip take than a 475-mile trip?

Answers

Answer:

1/2 a minute (30 seconds)

Step-by-step explanation:

475/50=9.5

450/50=9

9-9.5=.5

3x + 5y = 8
-9x - 15y = - 24
ayudeneme con esta ecuacion de igualacion

Answers

Answer:

así que para el primero simplemente ignora la x y la y porque cinco y tres son ocho y lo mismo con el segundo problema es igual a lo que dice

Step-by-step explanation:

de nada!!!

Evaluate -3.28 - (-4.4) + (-p) where p = 9.7

Answers

Answer:

-8.58

Step-by-step explanation:

p = 9.7

=> -3.28 - (-4.4) + (-p)

=> -3.28 - (-4.4) + (- (9.7))

=> -3.28 - (-4.4) + (-9.7)

=> -3.28 - (-4.4) -9.7

=> -3.28 +4.4 -9.7

=> -12.98 +4.4

=> -8.58

Answer:

The evaluated answer for this equation is -8.58

Step-by-step explanation:

We are given a value of p so we will use this value for the equation.

-3.28 - (-4.4) + (-p)

Replace p with 9.7

-3.28 - (-4.4) + (-9.7)

Since there is a double negative in front of 4.4, then that means that we are going to be adding -3.28 to 4.4

1.12 + (-9.7)

Subtract 1.42 from 9.7 because there is negative sign in front of 9.7

-8.58

HELP!!!
The solutions to (x + 3)^2- 4=0 are x = -1 and x = -5

True or false

Answers

Answer:

False

Step-by-step explanation:

We can simplify this equation and then solve for x.

[tex](x+3)^3-4=0\\\\x^2+6x+9-4=0\\\\x^2+6x+5=0\\\\(x+2)(x+3)=0\\\\x=-3\\x=-2[/tex]

As you can see, the solutions are not x=-1 and x=-5.

Therefore, the answer is false.

Answer:

True

Step-by-step explanation:

Given

(x + 3)² - 4 = 0 ( add 4 to both sides )

(x + 3)² = 4 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{4}[/tex] = ± 2 ( subtract 3 from both sides )

x = - 3 ± 2

Thus

x = - 3 - 2 = - 5

x = - 3 + 2 = - 1

what is the radical of 5√72 PLZ HELP!

Answers

Answer: Exact Form: 30√2

Decimal Form:42.42640687…

Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

I hope this helped :)

Answer:

  30√2

Step-by-step explanation:

The radical portion of the given expression is √72.

__

Perhaps you want the simplest form of your expression. Factor out the perfect squares from under the radical.

  [tex]5\sqrt{72}=5\sqrt{36}\sqrt{2}=5\cdot 6\sqrt{2}=\boxed{30\sqrt{2}}[/tex]

help..? why are there so many parentheses..?can you plz give a step by step on how to slove the equation?

Answers

Answer:

= -11

Step-by-step explanation:

-(-(11-22))

= -(-11+22)

= 11 - 22

= -11

w = zh - 6zk². Solve for z
(preferred with steps)​

Answers

Answer:

           w

z =   ------------

         h - 6k²

Step-by-step explanation:

w = zh - 6zk²

zh - 6zk² = w

           w

z =   ------------

         h - 6k²

Simplify the expression. (3x2 – 4x + 1) + (-x2 + x – 9)

Answers

[tex](3x^2 - 4x + 1) + (-x^2 + x - 9)=\\3x^2-4x+1-x^2+x-9=\\2x^2-3x-8[/tex]

= (6x+4x+1)+(-2x+x-9)
= (2x+1)+(-x-9)
= 2x+1-x-9
= x-8

1. Which expression is equivalent to (-2)(a + 6)?

Answers

Answer:

please mark my answer brainliest

Step-by-step explanation:

- 2a -12

What is negative 14 minus 5

Answers

Answer:

-19

Step-by-step explanation:

(-14)

-5

-------

14+5=19

add the negative

-19

Msr walkers class set up an online fund with a goal to raise 1280

Answers

Answer: is brainly broken for u too??

Step-by-step explanation:

Which expression is equivalent to (–2)(a + 6)?
A. –2a + 6
B. 2a + 12
C. –2a – 12
D. –2a + 12

Answers

The answer is option c.

PLEASE HELPP on THIS PICTURE FOR ONE OF MY QUESTIONS

Answers

Answer:

Linear pair postulate

Step-by-step explanation:

The Linear Pair Postulate states: "If two angles form a linear pair, then the angles are supplementary; that is, the sum of their measures is 180 degrees

A linear pair of angles is such that the sum of angles is 180 degrees.

10. RP3-M

Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75.

She used a coupon code to receive a 20% discount. The website applied a 10% service fee

to the discounted price. Jeannette's ticket was less than the original price by what percent?

Answers

Answer:

Jeannette's ticket was less than the original pice by 30%

Step-by-step explanation:

original price = $75

percentage discount = 20% of original price = 20% of $75

discounted price = [tex]\frac{20}{100} \times\ 75\ =\ 15[/tex]

discounted price = $15

website service fee = 10% of original price

website service fee = [tex]\frac{10}{100}\times 75 = \$7.5[/tex]

New discounted price = discount price + website service fee

= 15 + 7.5 = $22.5

Next, let us calculate what percentage of the original price that will give the new discount price.

Let the percentage of the original price = x%

x% of 75 = $22.5

[tex]\frac{x}{100} \times\ 75\ = 22.5\\\\\frac{75x}{100} = 22.5\\\\75x = 2250\\\\x = \frac{2250}{75} \\\\x = 30[/tex]

Therefore, Jeannette's ticket was less than the original pice by 30%

what are the squares from 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 answer when multiplied by itself​

Answers

Answer:

I hope it helps :)

Step-by-step explanation:

[tex] {1}^{2} = 1 \times 1 = 1\\ {2}^{2} = 2 \times 2 = 4\\ {3}^{2} =3 \times 3 = 9\\ {4}^{2} = 4 \times 4 = 16 \\ [/tex]

[tex]{5}^{2} = 5 \times 5 = 25 \\ {6}^{2} = 6 \times 6 = 36 \\ {7}^{2} = 7 \times 7 = 49\\ {8}^{2} = 8 \times 8 = 64[/tex]

[tex] {9}^{2} = 9 \times 9 = 81 \\ {10}^{2} = 10 \times 10 = 100 \\ {11}^{2} = 11 \times 11 = 121 \\ { {12}^{2} } = 12 \times 12 = 144[/tex]

[tex] {13}^{2} = 13 \times 13 = 169 \\ {14}^{2} = 14 \times 14 = 196 \\ {15}^{2} = 15 \times 15 = 225 \\ {16}^{2} = 16 \times 16 = 256[/tex]

[tex] {17}^{2} = 17 \times 17 = 289 \\ {18}^{2} = 18 \times 18 = 324 \\ {19}^{2} = 19 \times 19 = 361 \\ {20}^{2} = 20 \times 20 = 400[/tex]

Step-by-step explanation:

Is this the answer you want? If nope inform me.i hope you just ignore my handwriting ☺️

please answer the question in the photo​

Answers

Answer:

b

Step-by-step explanation:

i honestly dont know what a and c are but cytokinesis is the division of the cytoplasm eg in binary fission and the question is on chromatids I chose b since in meiosis is where homologous chromosomes fail to separate however this can happen if it's the second phase of meiosis but since in mitosis in anaphase is where sister chromatids can fail to separate I chose it

Lenny is competing with his cousin, Jasper, in an indoor rock-climbing contest. At the start of the climb, Lenny makes his way 5 ¼ feet up the wall, while Jasper climbs 9 ¾ feet. How much farther did Jasper climb than Lenny?

Answers

Answer:

[tex]4\frac{1}{2}[/tex] feet further.

Step-by-step explanation:

Since these are mixed numbers that are both in fourths, we can easily subtract the two numbers. However, I find it easier if we first convert both mixed numbers into improper fractions.

[tex]5\frac{1}{4} = \frac{5\cdot4+1}{4} = \frac{21}{4}[/tex]

[tex]9\frac{3}{4} = \frac{9\cdot4+3}{4} = \frac{39}{4}[/tex]

Now we can subtract the numerators:

[tex]\frac{39}{4} - \frac{21}{4} = \frac{39-21}{4} = \frac{18}{4}[/tex]

[tex]\frac{18}{4}[/tex] simplifies down to [tex]\frac{9}{2}[/tex].

Converting  [tex]\frac{9}{2}[/tex] to a mixed number is easy - 2 goes into 9 4 times (8) with one remainder so:

[tex]4\frac{1}{2}[/tex] .

Hope this helped!

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