simplfy the given equation using the distributive property 5x + 2(x - 3) = -2(x - 1)

Answers

Answer 1

Answer:

     x = [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

5x + 2 (x - 3) = -2 (x - 1)

  5x + 2x - 6 = -2x +2

5x + 2x + 2x = 2 + 6

               9x = 8

                 x = [tex]\frac{8}{9}[/tex]

Answer 2

Answer:

The value of x in the given equation is 0.89

Step-by-step explanation:

5x + 2(x - 3) = -2(x - 1)

Distribute 2 to (x - 3)

5x + 2x - 6 = -2(x - 1)

Distribute 2 to (x - 1)

5x + 2x - 6 = -2x + 2

Combine 5x and 2x on the left side of the equation.

7x - 6 = -2x + 2

Add 6 on both side of the equation.

7x = -2x + 8

Add 2x on both sides of the equation.

9x = 8

Now divide 9 from 8. Make sure you round the decimal because the quotient of these numbers is a repeating decimal.

x = 0.89

So, the value of x is 0.89


Related Questions




Increase 150 by 120%

O A. 330
OB. 180
O c. 300
OD. 200

Answers

Answer:

C

Step-by-step explanation:

Find 120% of 150

1.2 x 150 = 180

Increase to 150

180 + 150 = 330

Hope that helped!!! k

The midpoint (x, y) and the end point (x2, y2) are known. Find (x1, Y1) using the midpoint formula.

a. (x1,y1) = (2x + x2, 2y+y2)

b. (x1,y1) = (2x - x2, 2y - y2)

c. (x1,y1) = (x + x2, y + y2)

d. (x1,y1) = (x - x2, y - y2)

Answers

Answer:

(x1,y1) = (2x - x2, 2y - y2)

Step-by-step explanation:

Given:

Midpoint = (x , y)

End point = (x2, y2)

Find:

(x1, y1)

Computation:

Mid-point formula

x = (x1 + x2) / 2 , y = (y1 + y2) / 2

So,

2x = x1 + x2 , 2y = y1 + y2

x1 = 2x - x2 , y1 = 2y - y2

So,

(x1,y1) = (2x - x2, 2y - y2)

67) Interest on a Loan: Jeff Hubbard borrowed $800 from his brother for 2 years. At the end of 2 years, he repaid
the $800 plus $128 in interest. What simple interest rate did he pay?

Answers

Answer:

0.08%

Step-by-step explanation:

2 years,

the $800 plus $128 in interest. What simple interest rate did he pay?

128/2

$64 a year

64/800=0.08

so 0.08%

What is the the product of (-1 - 3i) and it’s conjugate?

Answers

Answer:

10

Step-by-step explanation:

(-1 - 3i)(-1 + 3i) = 1 - 3i + 3i -9i²

1 - 9i²; i² = -1, therefore 1 - 9(-1) = 1 + 9 = 10

Please help
A) y< 2x+4
B) y< 1/2x+3
C)y> 1/2x+3
D) y> 2x+3

Answers

Answer:

B

Step-by-step explanation:

if it is shaded under than it is <

the slope is 1/2x so that is the answer

MP Find the Error Katrina states that
3.5 X 104 is greater than 2.1 x 106 because
3.5 > 2.1. Explain her mistake and correct it.

Answers

Answer:

3.5 X 10^4 < 2.1 x 10^6

Step-by-step explanation:

3.5 X 10^4 < 2.1 x 10^6

The first thing we look at is the exponent

10 ^4 is less than 10^6

10000 < 1000000

If the exponents are the same, then we look at the numbers out front

Is △FHK similar to △GHJ? If so, which postulate or theorem proves these two triangles are similar? ​△FHK​ ​ is similar to ​ ​△GHJ​ ​ by the ​ ​SSS Similarity Theorem​. ​△FHK​ ​ is similar to ​ ​△GHJ​ ​ by the ​SSA Similarity Theorem​. ​△FHK​ ​ is similar to ​ ​△GHJ​ ​ by the ​ ​ ​SAS Similarity Theorem. ​△FHK​ ​ is not similar to ​ ​△GHJ​​.

Answers

Answer:

ΔFHK and ΔGHJ are the similar triangles by SAS similarity theorem.

Step-by-step explanation:

Picture for the given question is missing; find the picture attached.

If [tex]\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}[/tex] and ∠H ≅ ∠H

Then ΔFHK ~ ΔGHJ

[tex]\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}[/tex]

[tex]\frac{(12+10)}{10}=\frac{(15+18)}{15}[/tex]

[tex]\frac{22}{10}=\frac{33}{15}[/tex]

[tex]\frac{11}{5}=\frac{11}{5}[/tex]

Since, [tex]\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}[/tex] and ∠H ≅ ∠H [By reflexive property]

Therefore, ΔFHK and ΔGHJ are the similar triangles by SAS similarity theorem.

Option (3) will be the answer.

Answer:

ΔFHK and ΔGHJ are similar triangles by the SAS similarity theorem.

Step-by-step explanation:

Verified correct with test results.

Evaluate if x =3 and y = -2

x2+2xy−4y

Answers

Answer:

5

Step-by-step explanation:

With the equation [tex]x^2 + 2xy - 4y[/tex], we can substitute the values of x = 3 and y = -2 into the equation to find its result.

[tex](3^2) + (2\cdot3\cdot-2) - (4\cdot-2)\\\\9 + (6\cdot-2) - (-8)\\9 - 12 + 8\\5[/tex]

Hope this helped!

Basic math for 20 points + brainliest!

Answers

Answer:

Look at photo

Step-by-step explanation:


A rectangle has a perimeter of 26 feet. Twice its length is one foot more than three times its width (w). What is
the length of the rectangle, in Thet?

Answers

Answer:

The length of the rectangle is 13

Step-by-step explanation:

13 times 2 its equal 26

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b. A line is drawn on the coordinate plane that passes through the point (10,1) and has a slope of -0.5. The y-intercept of the line is ?

Answers

Answer:

[tex]\displaystyle [0, 6][/tex]

Step-by-step explanation:

[tex]\displaystyle 1 = -\frac{1}{2}[10] + b \\ \\ 1 = -5 + b; 6 = b \\ \\ [0, 6][/tex]

I am joyous to assist you at any time.

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.

Multiply the input by 2. Then add 4 to the result to get the output.

Answers

Answer:

2x +4

Step-by-step explanation:

The Expression for "Multiply the input by 2 and then add 4 to the result to get the output" is 2x+ 4.

What is expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

Multiply the input by 2.

let the input be x.

So, 2x

Now, add the result to 4

Then, 2x+ 4

Hence, the expression is 2x+ 4.

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PLEASE HELP! WHOEVER ANSWERS BEST WITH EXPLANATION BECOMES BRAINLIEST! Maria is conducting a survey to determine the ages of 100 dogs in an animal shelter. Which of the following questions is an appropriate statistical question for this survey? What is the number of dogs in the shelter that are more than 5 years old? What is the average number of years a dog stays at the shelter? How old is the youngest dog in the animal shelter? How old is each dog in the animal shelter?

Answers

Answer:

The answer is either A or B. Answer D is not appropriate for a survey of 100 dogs. Answer C, is also not correct, because it doesn't exactly matter out of 100 dogs. Answer A, is more accurate, then Answer B, because it is more of a statistical question, as in surveys, we want statistics. Thus, I must go with A) - What is the number of dogs in the shelter that are more than 5 years old?

Step-by-step explanation:

Answer:

the average

Step-by-step explanation:

option1: will help you get a population of those above five only therefore frequency for a large group of above five years which you can't analyse

2: you are able to see e.g average is 25yrs so your classes can start from e.g 0 to at most 26yrs therefore clearly defined classes

3 and 4: help you either get upper and lower limits but the other respective limits are infinite

Apply

48. Think About a Plan A lumberjack cuts 7 pieces of equal length

from a log, as shown at the right. What is the change in the log's

length after 7 cuts?

• What operation can you use to find the answer?

• Will your answer be a positive value or a negative

value? How do you know?

49. Farmer's Market A farmer has 120 bushels of beans for sale at a farmer's market.

dau what is the change in the

Answers

Answer:

you can use a median method of counting and eliminating each side being each cut but the difference would it would be an equal number as the central off number cut divides one piece of wood into an even number.

Another operation is subtracting the cuts from the pieces you have 7 - 6 = 1 whole. Meaning the answer is correct if you are left with 1

If the cuts were even then you would have an a number of pieces that amount to an odd number.

So with 7 they are even and positive.

With counter checking they are positive as you always start with one piece of wood.

Convert 5280 vodas to pivos. Show three significant figures for your answer.

1 pivo = 3.1416 molokos

1 moloko = 2.71828 vodas

Answers

(5280 vodas) * (1/2.71828 moloko/voda) * (1/3.1416 pivo/moloko) ≈ 618 pivos

(because 5280 has 3 significant digits)

If P = (3,4), Find: Rx=1 (P)

Answers

Answer:

-1, 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer is (-1,4)

HELP PLS Kelly made fruit punch to serve at a party for her chess team. She mixed 1 2/5 liters of cranberry juice and 1 3/5 liters of pineapple juice together. Then, she split the fruit punch evenly among 9 glasses. How much fruit punch did Kelly pour into each glass?

Answers

Answer:

⅓litres

Step-by-step explanation:

1²/5+1³/5 =(1+1)+(²/5+³/5)

=2+ 1 = 3

3÷9=³/9.

simplify. ³/9= ⅓

Kelly pours 1/3 liter of fruit punch into each glass at a party for her chess team.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

For example 4/2 = 2

She combined 1 2/5 liters of cranberry juice and 1 3/5 liters of pineapple juice which are given in the question.

As per the above situation, the required solution would be

⇒ 1 2/5 + 1 3/5

Convert mixed numbers to fractions,

⇒ 7/5 + 8/5

Take the LCM in the above equation,

⇒ (7 + 8)/5

⇒ 15/5

⇒ 3

Then, she split the fruit punch evenly among 9 glasses.

Now, we have to divide 3 liters of fruit punch into 9 glasses

So 3/9 = 1/3 liters of fruit punch

Therefore, she pours 1/3 liter of fruit punch into each glass.

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determine if the following set of ordered pairs represents a quadratic function explain (5,7),(7,11),(9,14),(11,18)

Answers

Answer:the pairs are not a quadratic eqation

Step-by-step explanation:

The differences between the differences of the y value are not consistent

The set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function

What is a function?

A relation is a function if it has only One y-value for each x-value.

Given,

The set of ordered pairs

(5,7),(7,11),(9,14),(11,18)

We have to determine whether the  (5,7),(7,11),(9,14),(11,18) is quadratic function or not.

Start by representing the function as an x-y table

x:-  5 || 7 || 9 || 11

y:-  7 ||  11 || 14 || 18

The difference between the y values is not same

11-7=4

14-11=3

18-14=4

For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.

Hence, the set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function

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Which expression is equivalent 6+7n+4+8n?

Answers

Answer: 5(2+3n)

Step-by-step explanation:

Answer:

15n + 10 should be your answer.

Step-by-step explanation:

Which transformation shows a reflection across the y-axis? A) A B) B C) C D) D

Answers

Answer:

The answer is A

Step-by-step explanation:

Answer: Choice A (upper left corner)

This shows a mirroring effect over the vertical y axis.

Choices B and C are a translation (aka shifting)

Choice D is a reflection but over the horizontal x axis.


In Exercise 4, find the surface area of the solid
formed by the net.

Answers

Answer:

535.2 cm²

Step-by-step explanation:

The surface area the solid formed by the net in exercise 4 can be calculated by finding the area of each part that makes up the net.

The net consists of 2 triangles and 3 rectangles.

Each triangle has a base (b) of 8 cm and a height (h) of = √(8² - 4²) (using Pythagorean theorem)

height = 6.9cm

Each rectangle has length (l) of 20cm, and width (w) of 8cm

Therefore, Surface Area (S.A) = area of 3 rectangles + area of 2 triangles

S.A = 3(l*b) + 2(½*b*h)

S.A = 3(20*8) + 2(½*8*6.9)

S.A = 3(160) + (1*8*6.9)

S.A = 480 + 55.2 = 535.2 cm²

Special right triangles

Answers

what should we do??? the question isn't there!

Write each expression using a positive exponent. ("/" means division)("^" means to the power of) 9^-4

Answers

Answer:

Step-by-step explanation:

[tex]9^{-4}[/tex]

=[tex]\frac{1}{9^{4} }[/tex]                   ∴     [tex]x^{-n} = \frac{1}{x^{n} }[/tex]

=[tex]\frac{1}{9*9*9*9}[/tex]

=[tex]\frac{1}{6561}[/tex]

How do u simplify each expression by combining like terms?

Answers

Answer:

1. 8y - 9y = -1y

( 8 - 9 = -1)

3. 8a - 6 +a - 1

( i have showed the like terms here)

8a - 1a= 7a

-6 - 1 = -7

7a - 7

5. -x - 2 + 15x

( i have showed the like terms here)

-x + 15x = 14x

(x = 1)

14x + 2

7.  8d - 4 - d - 2

( i have showed the like terms here)

8d - d = 7d

-4 -2 = -6

7d - 6

8. 9a + 8 - 2a - 3 - 5a

( i have showed the like terms here)

9a - 2a - 5a = 2a

8 - 3= 5

2a + 5

in scientific notation
1.6 x 10^3/ 8 x 10^7

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1.6*10^{3}}{8*10^{7}}=\frac{1.6}{8}*10^{3-7}\\\\\\=0.2*10^{-4}\\\\\\=2.0*10^{-5}[/tex]

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

is the measure of how much the values in a data set vary, or deviate, from the mean; it tells us how spread out the data is from the mean.

Answers

Answer:

Standard deviation

Step-by-step explanation:

The standard deviation provides a measure of the overall variation in a data set. The standard deviation is always positive or zero. The standard deviation is small when the data are all concentrated close to the mean, exhibiting little variation or spread.

The table below shows one doctor's patients who got the flu and whether or not they took a vitamin each day. What is P(took a vitamin | got the flu)? (Note: If your fraction will reduce, you need to reduce it.)

Answers

Answer:

1/4

Step-by-step explanation:

25 people took a vitamin and still got the flu and the total number is 100 so the fraction is 25/100 which can be reduce to 1/4

The P(took a vitamin | got the flu) will be 1/4.

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.

Here, the table below shows one doctor's patients who got the flu and whether or not they took a vitamin each day.

We need to find the P(took a vitamin | got the flu).

Now, 25 people took a vitamin and still got the flu.

The total number is 100.

So, the fraction is 25/100 which can be reduce to 1/4.

P(took a vitamin | got the flu) = 25/100

P(took a vitamin | got the flu) = 1/4

Therefore, the P(took a vitamin | got the flu) will be 1/4.

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Find the perimeter of this figure. (Image down below)

Answers

Answer:

The answer is

44 ft

Step-by-step explanation:

The figure above is a rectangle

To find the perimeter of a rectangle we use the formula

Perimeter of a rectangle = 2l + 2w

where

l is the length of the rectangle

w is the width of the rectangle

From the question

length = 14 ft

width = 8ft

Substituting the values into the above formula we have

Perimeter = 2(14) + 2(8)

= 28 + 16

We have the final answer as

Perimeter = 44 ft

Hope this helps you

Since perimeter is adding all the sides together it would be (8×2 = 16) and (14×2 = 28 ) so 28+16=44 ^^ I agree with the answer above :)

explain how 6/12 and 4/8 are equal fractions

Answers

6/12 and 4/8 are equal fractions, as, when simplified, they share a simplified fraction.

Note that what you do to the denominator, you do to the numerator. Find common denominators for both fractions:

(4/8)/(2/2) = 2/4

(6/12)/(3/3) = 2/4

As you can tell, when they share a common denominator (4), the numerators are the same as well (3).

~

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