5 (2x – 1) –7 = 2 (x – 3)

Answers

Answer 1

Answer:

x−3=x−3

Step-by-step explanation:

Evaluate (2x−1)−7, then set it equal to 2.

Subtract 7 from −1 = 2x−8

Solve 2x−8=2.

Move all terms not containing x to the right side of the equation.

Add 8 to both sides of the equation=2x=2+8

Add 2 and 8=2x=10

Divide each term by 2 and simplify.

Divide each term in 2x=10 by 2=2x/2=10/2

Cancel the common factor of 2

Cancel the common factor=10/2

Divide x by 1=x=10/2

Divide 10 by 2=x=5

Remove parentheses=x−3

List all of the solutions.

5=

(2x−1)−7=2=x=5

x−3=x−3


Related Questions

At school on Friday the ratio of students who purchased a lunch to students who brought lunch was 4:3. Based on the ratio, how many brought lunch out of 490 students?

Answers

Answer:

210 students brought lunch

Step-by-step explanation:

At school on Friday the ratio of students who purchased a lunch to students who brought lunch was 4:3.

The ratio is

Students who purchased: Students who brought

= 4 : 3

The total proportion

= 4 + 3 = 7

The total number of students from the question is : 490

Hence, The number of students that brought lunch is calculated as:

3/7 × 490

= 210 students

Hence, 210 students brought lunch

I really need help. Can you please show your work too.

Answers

Answer:

Step-by-step explanation:

You just combine common variables.

8a^5 -4

3a^5 + a -2

11a^5 + a -6

The solution to the first is 11a^5+a-6.

The second:

3x^2 -2x + 1

-x^2 + 3x + 1

2x^2 + x + 2

2x^2+x+2

11-17
1. A student finds the slope of the line between (14, 1) and (18. 17). She writes 18 - 14
What mistake did she make?
A She should have added the values, not subtracted them.
B She used y-values where she should have used x-values,
C She mixed up the x- and y-values.
D She did not keep the order of the points the same in numerator and the denominator
A
B
c

Answers

The answer is D.

It should be 17 -1 / 18 -14

Answer:

ill come up with the answer in a little while

Step-by-step explanation:

2x4 + 32x2 + 128 = 0

Answers

The answer is no real solution

- Write your answer as a fraction or a mixed number in simplest form. 7 1/2 divided 2 5/8

Answers

Answer:

60/11 or 5  5/11

Step-by-step explanation:

Change to mixed numbers- 15/2 and 11/8.

multiply 15/2 by reciprocal- 15/2 x 8/11.

simplify-60/11

At the grocery store, 6 pints of ice cream cost $8.94. How much would 35 pints of ice cream cost?

Answers

Answer:

52.15

Step-by-step explanation:

you need to find how much each pint cost by itself so...

8.94 divided by 6 is 1.49

then 1.49 x 35 = 52.15

and that is your answer

Answer:

$52.15

Step-by-step explanation:

i just dived 8.94 by 6 then multiplyed that answer by 35

Solve for v.
9v - 2y = 14
V =

Answers

Answer:

v = 14/9 + 2y/9

Step-by-step explanation:

First add 2y to both sides. Then, divide both sides by 9. Now you have v isolated.

Answer:

v = 14/9 + 2y/9

Step-by-step explanation:

Each wall measures about 65 feet tall and 80 feet wide. If Os Gemeos did a sketch on paper that was 8 inches tall for one wall, how wide would their sketch have to be to stay in proportion?

Answers

Given :

Wall measures about 65 feet tall and 80 feet wide.

To Find :

If Os Gemeos did a sketch on paper that was 8 inches tall for one wall, how wide would their sketch have to be to stay in proportion.

Solution :

Let, width of sketch is x.

Since, they are in proportion :

[tex]\dfrac{65}{10}=\dfrac{65+8}{x}\\\\x = \dfrac{10\times 73}{65}\\\\x = 11.23\ feet[/tex]

Therefore, width of sketch should be 11.23 feet.

Hence, this is the required solution.

Given the following measures of the sides of triangles, which is a right triangle?

A.
10 cm, 24 cm, 26 cm

B.
13 ft, 14 ft, 15 ft

C.
7 in, 12 in, 15 in

D.
14 yd, 14 yd, 30 yd

Answers

Answer:

A

Step-by-step explanation:

10 squared + 24 squared = 26 squared :)

for a certain base, b, logb^8=3 and logb^0.5=-1 The value of logb^4b is 0, -3, 3

Answers

Answer:

3.

Step-by-step explanation:

From the question given above, the following data were obtained:

Logᵦ 8 = 3

Logᵦ 0.5 = – 1

Logᵦ 4B =?

Next, we shall determine the value of B. This can be obtained as follow:

Logᵦ 8 = 3

8 = B³

Take the cube root of both side.

B = 3√8

B = 2

Finally, we shall determine the value of Logᵦ 4B. This can be obtained as follow:

Logᵦ 4B =

B = 2

Logᵦ (4×2) = Logᵦ 8

Recall from the question given:

Logᵦ 8 = 3

Therefore,

Logᵦ 4B = Logᵦ 8 = 3

Thus, the value of Logᵦ 4B is 3.

Answer:

It ends up being 3

Step-by-step explanation:

PLATO

Please help will mark as brainless

Answers

Answer:

1.  r =  [tex]\sqrt[3]{\frac{3v}{4\pi } }[/tex]

divide v by 4/3, this is the same as multiplying v by 3/4 so you have 3v/4

then divide v by [tex]\pi[/tex] so you now have 3v/4[tex]\pi[/tex]

then get rid of the ^3 on r by putting the solution for r under a ∛

2. a) The equation might need to be written in terms of a because you may not know the value of a, but you know the value of everything else. If this is the case then you can simply rewrite the equation so that you can plug it all into a calculator and avoid certain possible errors.

     b)

 s = ut + 1/2 [tex]at^{2}[/tex]

subtract ut from both sides: s - ut = 1/2 [tex]at^{2}[/tex]

multiply both sides by 2: 2(s - ut)

divide both sides by [tex]t^{2}[/tex]: [tex]\frac{2(s - ut) }{t^{2} }[/tex] = a

answer: a =  [tex]\frac{2(s - ut) }{t^{2} }[/tex]

I'm not entirely sure about b) for question 2 so you might wanna double check that with a friend

A rectangular yard measuring 39ft by 63ft is bordered (and surrounded) by a 2 ft fence. Inside, a walk that is wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer.

Answers

Given :

A rectangular yard measuring 39 ft by 63 ft is bordered (and surrounded) by a 2 ft fence.

To Find :

The area of this walk.

Solution :

Area of whole park :

[tex]A=39\times 63\ ft^2\\\\A=2457\ ft^2[/tex]

Now, length and breadth after removing the fences is l = 63 - 2( 2) = 59 ft and b = 39 - 2( 2 ) = 35 ft.

Area of inner park :

A' = 35 × 59 ft²

A' = 2065 ft²

Therefore, area of fencing is 2457 - 2065 = 392 ft² .

Hence, this is the required solution.

The graph shows a function

Answers

Answer:

E, D

Step-by-step explanation:

rate of change is the slope

slope is change in y over change in x

the slope of the graph is (3/2)

E has a slope of 1/2 which is less than 3/2

D has a slope of 1 which is also less than 3/2

The length of rectungular field is 50m and its breadth is 40m. calculate its area in acre and hectare​

Answers

Answer:

90

Step-by-step explanation:

40+50 ......................

Answer:

0.4942108acre,0.2 hectare

Step-by-step explanation:

Given

length of rectungular field =50m

its breadth = 40m.

Solution

Area=length×breadth

=50×40

=2000m^2

1)1 square metre =0.000247 acre

So2000m^2=0.4942108acre

2)2000m^2=0.2 hectare

Consider the rectangle below.
4(x - 7) in.
3 in.
2(10 - x) in.
What is the value of x?
X =



Please help me!!

Answers

Answer:

x=8

Step-by-step explanation:

bc (8-7) =1,  1 time 4 = 4                  (we always do -/+ before multiplication)

 and (10-8)=2, 2 time 2 = 4

since for both you get the same result therefore x=8

(I just get that for my I-ready I was stuck for a period of time than realize it)

Can someone please help me with this . will give brainliest :)​

Answers

Answer:

Your answer is going to be letter D because:

.00004 x 2,000,000,000 = 80,000

D

can i get brainly?

The length of a rectangle is 2 inches more than twice its width, and its perimeter is 60 inches. Find the length and width
of the rectangle.
If w = the width of the rectangle, then the length equals

Answers

Answer:

no

Step-by-step explanation:

Sylvester wants his hand to have a sum of -1. Click on three cards that Sylvester could choose. . -9 , 5 , -7, 1 , 4 , -2 , 3​

Answers

5,3 and -9 equal -1..

MATH QUESTION
There are 60 minutes in
one hour, 24 hours in 1 day, and 7 days
in one week. About how many minutes
are in one week? Explain how you
found your estimate.

Please make sure the answer is an estimate.

Answers

Answer:

about 10,080

Step-by-step explanation:

I did 24 times 7 then that answeer which is 168 by 60 whoich is 10,080

60x24=1140
1140x7=7980

8. A right triangle has an angle
measure of 52.49. What is the
value of x, the missing angle?

Answers

Answer:

let the missing angle be x

now

x+52.49+90=180(being the sum of traingle)

or,x=180-142.49

or,x=37.51

answer

John keeps chickens and rabbits in his fenced backyard. He counts a total of 32 heads and a total of 72 legs in his backyard. Write and solve a system of equations in order to find: How many chickens are in John's backyard? Chickens How many rabbits are in John's backyard? Rabbits

Answers

Answer:

System of Equations

c + r = 32 ..... Equation 1

2c + 4r = 72......... Equation 2

We have 28 chickens and 4 rabbits

Step-by-step explanation:

Let the number of chickens be represented by c

The number of rabbits be represented by r

From the question, John counts:a total of 32 heads

32 heads = a total of 32 animals

Hence:

c + r = 32....... Equation 1

c = 32 - r

Also, John counts:

A total of 72 legs in his backyard.

Chickens have: 2 legs

Rabbits have: 4 legs

Hence:

2c + 4r = 72......... Equation 2

System of Equations is:

c + r = 32 ..... Equation 1

2c + 4r = 72......... Equation 2

Lets us substitute 32 - r for c in Equation 2

2(32 - r) + 4r = 72

64 - 2r + 4r = 72

Collect like terms

- 2r + 4r = 72 - 64

2r = 8

r = 8/2

r = 4

This means we have 4 rabbits

Note:

c = 32 - r

r = 4

c = 32 - 4

c = 28

Hence, we have 28 chickens

If f(x)=x2+3x−2, find f(−2).

Answers

Answer:f(-2)=-12

Step-by-step explanation:

Apply the (-2) to the x in the equation

(-2)2+3(-2)-2

Simplify

-4-6-2

-12

Answer:

Answer:f(-2)=-12

Step-by-step explanation:

Apply the (-2) to the x in the equation

(-2)2+3(-2)-2

Simplify

-4-6-2

-12

a train travelling at 60 km per hour completes the journey in 8 hour. How much faster would it have to travel to cover the same distance in 6 hour ​

Answers

Answer:

Total distance covered: 60x8 = 480

Speed needed to cover distance of 480 km in 6 hrs = 480/6 = 80 km/hr.

initial velocity : 60 km/hr.

Train needs to run faster with speed of 20km per hour to achieve same distance in 6 hrs.

Step-by-step explanation:

Guys people how about this this ....

Answers

Answer: Since FK is half the line, and FH is the whole line 6*2= 12

so FH=12

Answer:

it would be 12

since FK would be the same measurement as KH so all u gotta do is add 6+6 and u get 12

Step-by-step explanation:

hope this helps

Write the numbers in order from least to greatest. Please help!!

Answers

Answer:

-20, -9, -5, -2, 2.2, 2.5, 2.7

Step-by-step explanation:

Answer:

-20, -9, -5, -2, 2.2, 2.5, 2.7

Step-by-step explanation:

Pls help ASAP will give brainlist

Answers

Answer:

ACB

Step-by-step explanation:

i think it is true or I'm just a genius

Answer:

ACB third option

Step-by-step explanation:

the smallest angle opposes the smallest side

Jennie has $300 and she spends $15. What percent of her money is spent?

Answers

Answer:

The answer is 5%

Step-by-step explanation:

Hope this helps!!

Anyone know??? X= ???

Answers

Answer:

x = 40.5

Step-by-step explanation:

2/3 * 40.5 = 27

Answer:

81/2

Step-by-step explanation:

divide by 2/3rds on both sides and then there is your answer

have a great night!!!

HALP I WILL GIVE BRAINLIEST

Answers

9514 1404 393

Answer:

  Mark the lower tick marks with hour numbers; see what hour corresponds to 2/3 mile

Step-by-step explanation:

The upper number line is marked off in 1/3 mile increments.

The tick marks on the lower line divide the unit distance into 6 parts, instead of 3, so each mark on the lower line corresponds to 1/6 mile.

The problem statement tells you the completion rate is 1/6 mile per hour, so we can number the lower tick marks 0, 1, 2, 3, 4, 5, 6 hours, leaving the marks on the upper number line at 1/3 mile, 2/3 mile, and 1 mile.

Then the lower tick mark we have labeled 4 hours will correspond to the upper tick mark labeled 2/3 mile.

__

To solve the problem using number lines, mark the number lines with values that correspond. Extend the numbering as required to answer the question asked.

complete the square for the expression, then factor the trinomial.

x^2-4x

please explain how to do it as well! :)

Answers

Answer:

Completing the square we get: [tex](x-2)^2-(2)^2[/tex]

and factoring the term we get: [tex]x(x-4)[/tex]

Step-by-step explanation:

We need to complete the square for the expression [tex]x^2-4x[/tex]

For completing the square the expression would be of form [tex]a^2+2ab+b^2=(a+b)^2[/tex]

For given expression we have to add (2)^2 and subtract to make it complete the square.

[tex]x^2-2(x)(2)+(2)^2-(2)^2\\(x-2)^2-(2)^2[/tex]

Now, we have to factor the polynomial using formula [tex](a)^2-(b)^2=(a-b)(a+b)[/tex]

So, [tex](x-2)^2-(2)^2\\=(x-2-2)(x-2+2)\\=(x-4)(x-0)\\=x(x-4)[/tex]

Completing the square we get: [tex](x-2)^2-(2)^2[/tex]

and factoring the term we get: [tex]x(x-4)[/tex]

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