(a) Solve 5x - 2 = x + 8
Show clear algebraic working.​

Answers

Answer 1

Answer:

Required Answer:-

[tex]{:}\longrightarrow[/tex][tex]\sf 5x-2=x+8 [/tex]

interchange both sides

[tex]{:}\longrightarrow[/tex][tex]\sf 5x-x=8+2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 4x=10 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {10}{4}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {5}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=2.5 [/tex]

Answer 2
747 is the correct answer

Related Questions

Which is the better buy?
7-pound bag of barley for $6.72
312-ounce bag of barley for $28.08

Answers

Answer:

7-pound bag of barley for $6.72 is a better buy.

Step-by-step explanation:

7-pound bag of barley for $6.72

6.72 : 7 = 0.96

check your work: 0.96 x 7 = 6.72

so for the first offer you will be paying $0.96 per pound

312-ounce bag of barley for $28.08

1 pound = 16 ounces

312 ounces = 19.5 pounds

28.08 : 19.5 = 1.44

for the second offer you will be paying $1.44 per pound of barley. 7-pound bag of barley for $6.72 is a better buy because you will be less for each pound.

hope this helps!

Answer:

7-pound bag of barley for $6.72

Step-by-step explanation:

Lorine drew the model below to represent the equation 16 + 28 = ___ ´ (4 + 7).

Answers

Answer:

4

Step-by-step explanation:

Answer:

Its A (A is 4)

Step-by-step explanation:

Also correct on Edge 2021

Download "Core Games" on Pc Now!!!!!

What is the equation in standard form of the line y = 19x + 5?
i am doing a test. thank you.

Answers

Answer:

19x-y=-5

Step-by-step explanation:

Tip: don't say you need an answer for a test may get reported or banned. :)

You're welcome :)

Division expression​

Answers

The first answer is the correct one.




Explanation:

4*3+1=13

13/3 divided by -5/6

Select the correct answer.
Which expression is equivalent to this polynomial?
x^2+8
OA. ( + 2/2)(x – 2/2)
B. (5 + 4i) (3 – 4i)
oc. (x + 2√2)
D. (x + 2/2i)(x – 2/2i)

Answers

The expression x²+8 is equivalent to ( x + 2√2i) ( x - 2√2i).The correct option is D.

What is an Expression?

An expression is a statement consisting of variables, constants, and mathematical operators.

The expression x²+8 can be written as

( x )² - ( 2√2i)²

This is representing the binomial Identity

a² - b² = ( a+b) (a-b)

here a = x , b =2√2i

The expression can be written as

( x )² - ( 2√2i)² = ( x + 2√2i) ( x - 2√2i)

Therefore, The correct option is D.

To know more about Expression

https://brainly.com/question/14083225

#SPJ2

Answer: D.)

Step-by-step explanation: I got it right on the test!!

Last year, the cost of a family-sized dinner at a picnic was $8.50. This year, the cost is $11.56. What is the percent of increase of the price? (i need a step-by-step explanation not just the answer) will give out brainly if u tell me how to

Answers

Answer:

[tex]\%Increase = 36\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 8.50[/tex]

[tex]Final = 11.56[/tex]

Required

Determine the percentage increase

Percentage increase is calculated using:

[tex]\%Increase = \frac{Final - Initial}{Initial} * 100\%[/tex]

Substitute values for Final and Initial

[tex]\%Increase = \frac{11.56 - 8.50}{8.50} * 100\%[/tex]

[tex]\%Increase = \frac{3.06}{8.50} * 100\%[/tex]

[tex]\%Increase = \frac{3.06 * 100\%}{8.50}[/tex]

[tex]\%Increase = \frac{306\%}{8.50}[/tex]

[tex]\%Increase = 36\%[/tex]

Hence, the percentage increase in price is 36%

given f(x)=4x-3, solve for x when f(x)=9

Answers

X=4/11 or .36 repeating

Find the values of x and y that satisfy the equation.
- 12x + yi = 60 - 13i

Answers

X=-5
Y=-13

Hope this helps

Find the missing value.
Hint: Use the number line to find the missing value.
Helppp

Answers

Answer:

-2

Step-by-step explanation:

the multiplication of -×- will be + so if-×-will be plus then -7 after multiplying will be + so

_2+7=5

Answer is 12! Gl on what ur doing!

Find the number whose arithmetic square root is 0.6

Answers

Answer: 0.36

Step-by-step explanation:

6/10 x 6.10= 36/100

Bhmbbu.jgHello I need help with the square root of 1867 and the square root of 5098 6x9x7x5x4

Answers

Answer:

Hello!

Step-by-step explanation:

What did the thief get for stealing the calendar?

Here is a riddle

Kevin needs to memorize words on his oh Cavaleri list for Latin class. He has been raised 20 other words, which is 4/5 of the list. How many words are on the list?

Answers

Answer:

25

Step-by-step explanation:

if 20 is 4/5 then you just reverse egineer and you get it

The sum of three consecutive odd integers is 153. Find the three odd integers.

First integer =


Second integer =


Third integer =

PLEASE HELPPPP!!

Answers

Answer:

49, 51, 53

Step-by-step explanation:

Let the first odd integer be n.

Then the consecutive odd integer will be (n+2).

This will be followed by (n+4).

We know that the sum of these three is 153. In other words:

[tex]n+(n+2)+(n+4)=153[/tex]

Solve for n. Combine like terms:

[tex]3n+6=153[/tex]

Subtract 6 from both sides:

[tex]3n=147[/tex]

Divide both sides by 3:

[tex]n=49[/tex]

Therefore, our first odd number is 49.

So, our consecutive numbers must be 51 and 53.

Hence, our sequence is:

49, 51, 53

Notes:

If we get an even number for n or a non-integer value, then there are no three consecutive odd integers that sum to 153.

Answer:

49, 51, 53

Step-by-step explanation:

All odd numbers:

49 + 51 = 100

100 + 53 = 153

Consider a coin that a head is twice more likely to occur than a tail. Find the variance of number of heads when the coin is tossed three times.

Answers

Answer:

0.667

Step-by-step explanation:

Given that :

Head is twice more likely to occur than a tail.

P(head) = p(H) = 2/3

P(tail) = p(T) = 1/3

If coin is tossed 3 times :

P(H = 0) :

1st toss = tail ;2nd toss = tail ; 3rd toss =. Tail

(1/3) * (1/3) * (1/3) = 1 / 27

P(H= 1)

HTT, THT, TTH

(2/3 * 1/3 * 1/3) + (1/3 * 2/3 * 1/3) + (1/3 * 1/3 *2/3)

= 2/27 + 2 /27 + 2/27

= 6/27 = 2/9

P(H=2)

HHT, HTH, THH

(2/3 * 2/3 * 1/3) + (2/3 * 1/3 * 2/3) + (1/3 * 2/3 * 2/3)

= 4/27 + 4/27 + 4/27

= 12 / 27

= 4 /9

P(H = 3)

HHH

(2/3 * 2/3 * 2/3)

= 8 / 27

X ___ 0 ___ 1 ____ 2 ____ 3

P(x) _ 1/27 _ 2/9 __ 4/9 __ 8/27

E(X) = (0 * (1/27)) + (1 * (2/9)) + (2 * (4/9)) + (3 * (8/27)) = 2

E(X) = 2

Var(X) = Σx²p(x) - E(X)²

= (0^2 * (1/27)) + (1^2 * (2/9)) + (2^2 * (4/9)) + (3^2 * (8/27)) - 2^2

= 4.667 - 4

= 0.667

Hence, Var(x) = 0.667

Multiplying and Dividing Radicals

Simplify the following expressions.

Answers

the answer is 14. your welcome :)

Five less than the area of a square is 59 square feet. Find the side length of the square.​

Answers

Answer:

4 feet

Step-by-step explanation:

Let the side length of the square be x feet.

x^2 - 5 = 59

x^2 = 64

x = ±4 (reject - 4 since length > 0)

Topic: Areas of polygons

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Translate this sentence into an equation.
17 less than Vidya's savings is 64

Answers

Answer:

S - 17=64

Step-by-step explanation:

F+G=K+7, K=7 prove: G=7

Answers

Answer
Do I show my work ?
Explanation

Step-by-step explanation:

K=7,

F+G=K+7

F+G=7+7

F=7, G=7 proved

3/4 x 2 /4 on a number line

Answers

6/16 = 3/8
Plot 3/8 on the number line

Given that 3a : 7 = 8:5, find the value of a.​

Answers

a = 56/15. There’s an explanation in the photo

Answer:

a=56/15

Step-by-step explanation:

3a/7=8/5

3a=56/5

a=56/15

Six years ago Deki was P times as old as Benita was. If Deki is now 17 years old, how old is
Benita now in terms of P?
A. 11/P + 6
B. P/11 + 6
C. 17 - P/6
D. 17/P​

Answers

Answer:

A) 11/P + 6

Let Ben’s age now be B

Anita’s age now is A.

(A - 6) = P(B - 6)

But A is 17 and therefore 11 = P(B - 6)

11/P = B-6

(11/P) + 6 = B

please make as brainleylist

the product of 0.43 and 5.024 is greater than 0.43 and less than 5.024 true or false

Answers

Answer: True

Step-by-step explanation:

First find the product of 0.43 and 5.024 so see if it is greater than 0.43.

 0.43 * 5.024 = 2.16032  

2.16032 is indeed greater than 0.43  ,  2.16032 > 0.43

And 0.43 is indeed less than 5.024 , 0.43 < 5.024  

Meaning that this state is true.

Answer:

True

Step-by-step explanation:

Product refers to multiplication, the question is telling us to multiply 0.43 and 5.024 so lets do that

0.43 * 5.024 = 2.16032

Now we have to figure out if this fits the criteria. It must be larger than 0.43 but smaller then 5.024

...

...

...

That checks out.

True

Brainliest is much appreciated!

Use all four numbers 5, 1, 7, 9 with a value as close to 6000 as possible

Answers

Answer:

5971

Step-by-step explanation:

find the smallest number by which the number108 must be multiplied to obtain a perfect cube

Answers

Answer:

2

Step-by-step explanation:

108*2

=216

216

=6^3

PLS GIVE BRAINLIEST

Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter.Area: 49 square feet ft (smaller value) ft (larger value)

Answers

Answer:

Length = 7 ft

Breadth = 7 ft

Step-by-step explanation:

Let lenght of rectangle be x

and breadth be y

Area = [tex]49\ \text{ft}^2[/tex]

[tex]xy=49\\\Rightarrow x=\dfrac{49}{y}[/tex]

Permiter of a rectangle is given by

[tex]P=2(x+y)\\\Rightarrow P=2x+2y\\\Rightarrow P=2\times\dfrac{49}{y}+2y\\\Rightarrow P=\dfrac{98}{y}+2y[/tex]

Differentiating with respect to y we get

[tex]\dfrac{dP}{dy}=-\dfrac{98}{y^2}+2[/tex]

Equating with zero

[tex]0=-\dfrac{98}{y^2}+2\\\Rightarrow -2=-\dfrac{98}{y^2}\\\Rightarrow y^2=\dfrac{98}{2}\\\Rightarrow y^2=49\\\Rightarrow y=7[/tex]

Double derivative of the equation

[tex]\dfrac{d^2P}{dy^2}=2\dfrac{98}{y^3}\\\Rightarrow \dfrac{d^2P}{dy^2}=\dfrac{196}{y^3}>0[/tex]

So the value of y is minimum at 7.

[tex]x=\dfrac{49}{y}=\dfrac{49}{7}\\\Rightarrow x=7[/tex]

Hence, [tex]x=7,y=7[/tex]

The mimimum length and breadth of the rectangle is both 7 ft.

WILL GIVE BRAINLIEST! Is the relationship between x and y as shown in this table a proportional relationship? Explain your answer.
x y
1 2.5
2 5
4 10
6 12
8 20

Answers

Answer:

No, a porportional relationship is not shown

Step-by-step explanation:

Up until 4(x) and 10(y), the relationship is porportional. Then, when x increases by 2, y also only increases by 2. Y would need to increase by 5.

Elijah builds model airplanes at a constant rate. He can build 5 model airplanes in 150 minutes, and 10 model airplanes in 300 minutes. How long would it take him to build 15 model airplanes.

Answers

Answer:

450 minutes

Step-by-step explanation:

Since Elijah can build 5 model airplanes in 150 minutes. He can build 1 model airplane in 30 minutes. To find this you divide 150 by 5. The question asks for how many minutes it would take Elijah to build 15 model airplanes. Since 1 x 15 = 15 model airplanes, you use proportions and also multiple the time by 15, so 30 x 15 = 450 minutes.

Answer:

450 Minutes or 7 hours 30 minutes

Step-by-step explanation:

Because the rate of Sets to minutes is 1:30 for every 1 he builds it take 30 minutes so 30 x 15 = 450 or 150 x 3 because every 5 sets there 150 minutes

Hope this helped :)

fifty two seventh graders joined the swim club this year. THis is for more than six times the number seventh graders who joined the swimming club last year. How many seventh graders joined the swimming club last year. Brainly

Answers

Answer:

312

Step-by-step explanation:

52x6

5. *
17 points
Which answer shows 9x 10-written in standard form?
-.000009
.000009
-900,000
.00009

Answers

is there more to the question because u have 9 x 10- and that doesn’t make sense for it to be in standard form the originally problem needs to be in scientific notation what are the numbers after the 10?

Which expression is equivalent to two square root of 98 times square root of two

Answers

Answer:

The answer is 14. Hope this helps.

Step-by-step explanation:

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