what is −10x + 1 + 7x = 37

Answers

Answer 1

Answer:

x = -12

Step-by-step explanation:

−10x + 1 + 7x = 37

Combine like terms

-3x+1 = 37

Subtract 1 from each side

-3x +1-1 = 37-1

-3x = 36

Divide each side by -3

-3x/-3 = 36/-3

x = -12

Answer 2

Answer:

x = -12

Step-by-step explanation:

[tex]-10x+1+7x=37\\\\\mathrm{Group\:like\:terms}\\-10x+7x+1=37\\\\\mathrm{Add\:similar\:elements:}\:-10x+7x=-3x\\-3x+1=37\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\-3x+1-1=37-1\\\\Simplify\\-3x=36\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{36}{-3}\\\\x =-12[/tex]


Related Questions

The net force, F newtons, needed to push a block
to the mass, m kg, of the block. When m = 5
F = 49.
(i) Find an equation connecting F and m.
(ii) Find the value of F when m = 14.
(iii) Calculate the value of m when F= 215.6.
(iv) Draw the graph of F against m.​

Answers

AMSWER

F=m×a

this implies that

a=F/m

a=49/5

a=9.8 m/s^2

(i)F=(m×9.8)N

(ii)F=14×9.8=137.2

(iii)m=F/a

m=215.6/9.8

m=22kg

The elevation at Mt. Everest is 29,028 feet. The elevation of the Dead Sea is -485 feet. What is the difference in the elevation between Mt. Everest and the Dead Sea

Answers

Answer:

29,513 ft

Step by Step:

1). 29,028 - (-485)

2). Simplify the problem

29,028 + 485

3). 29,513

Your neighbor has a square shaped pool with side lengths of 3a5. What is the area of the pool?

Answers

Answer:

15a

Step-by-step explanation:3times3times3times3times3

--19 - 3x = -2 - 3 (x + 4) = Can someone plsss help me with this problem?

Answers

No solution I think

Answer:

-19-3x= -1(x+4).

-19-3x= -5(x+4).

-19-3x= -5x-1.

-19+1= -5x+3x.

-18= -2x.

x=9.

R is between Q and S. If

RS = 44.6 and

SQ = 68.4, find QR.

Answers

Answer:

23.8

Step-by-step explanation:

To find the value of QR, look over the information given. R is a point between the points Q and S. Since the value of SR is 44.6, and the value of SQ is 68.4, subtract 44.6 from 68.4 to get 23.8, which will be the answer.

help and ill give brainly.. trust me its easy

Answers

Answer:

a - right trapezoid

b - isosceles triangle

c - equilateral triangle

d - kite

Answer:

A) [tex]\huge\boxed{Trapezoid }[/tex]

Because of a pair of parallel lines.

B) [tex]\huge\boxed{Isosceles \ Triangle}[/tex]

Because of two equal sides.

C) [tex]\huge\boxed{Equilateral \ Triangle}[/tex]

Because of three equal sides.

D) [tex]\huge\boxed{Kite}[/tex]

Having 2 pairs of equal adjacent sides.

Ben is 6 feet tall. At a certain time of day, Ben's shadow appears on the ground to be 6 feet long. What is the angle of elevation of the sun at this time

Answers

Step-by-step explanation:

let us consider the elevation of the sun is x

then

x=6×6

x=36

help if you’re feeling generous today!! thank youu

Answers

Answer:

The answer is option 3

Step-by-step explanation:

4x² - 2y

when

x = - 2 and y = - 1

Substitute the values of x and y into the expression and simplify

That's

[tex]4( - 2)^{2} - 2( - 1) \\ = 4(4) + 2 \\ = 16 + 2[/tex]

We have the final answer as

18

Hope this helps you

Answer:The answer will be -18 because you are subtracting 2 two times!!

Step-by-step explanation:Simply step by step by step answer Hope this helps!️.

P(x) = 3x^4 – 2x3 + 2x² – 1
What is the remainder when P(x) is divided by (x + 1)?

Answers

Answer:

6

Step-by-step explanation:

Hello, we can use the Remainder Theorem, so the remainder is P(-1)

[tex]P(-1)=3+2+2-1=6[/tex]

Thanks

Simplify the expression, show all of your work 18 : 2x3 / 5-2

Answers

Answer:

2⋅(x  3  −5)

________

      5

​  

Step-by-step explanation: I hope this really help!

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x3"   was replaced by   "x^3".  

STEP

1

:

           x3

Simplify   ——

           5  

Equation at the end of step

1

:

      x3      

 (2 • ——) -  2

      5      

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        2     2 • 5

   2 =  —  =  —————

        1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2x3 - (2 • 5)     2x3 - 10

—————————————  =  ————————

      5              5    

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  2x3 - 10  =   2 • (x3 - 5)  

Trying to factor as a Difference of Cubes:

3.2      Factoring:  x3 - 5  

Theory : A difference of two perfect cubes,  a3 - b3 can be factored into

             (a-b) • (a2 +ab +b2)

Proof :  (a-b)•(a2+ab+b2) =

           a3+a2b+ab2-ba2-b2a-b3 =

           a3+(a2b-ba2)+(ab2-b2a)-b3 =

           a3+0+0+b3 =

           a3+b3

Check :  5  is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Polynomial Roots Calculator :

3.3    Find roots (zeroes) of :       F(x) = x3 - 5

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -5.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,5

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -6.00      

     -5       1        -5.00        -130.00      

     1       1        1.00        -4.00      

     5       1        5.00        120.00      

Polynomial Roots Calculator found no rational roots

Final result :

 2 • (x3 - 5)

 ————————————

      5      

Answer:

2⋅(x  3  −5)

________

     5

Step-by-step explanation:


Micah harvested 28 watermelons from his garden. He sold w watermelons at the market. Which expression describes the number of
watermelons that Micah has remaining?
w
28 + w
w-28
d
28 - w

Answers

The answer is 28 - w
Subtract the number sold from the number harvested

Identify the property used in each step. 12.2 + 18.6 + –4.3 + (–18.6) 12.2 + –4.3 + 18.6 + (–18.6) 12.2 + –4.3 + [18.6 + (–18.6)] 12.2 + –4.3 + (0) 12.2 + –4.3 7.9

Answers

Answer:

Commutative Property  

Associative property

Additive inverse  

Identity property

Step-by-step explanation:

In a  commutative property multiplication and addition which posses commutative property takes place without considering the order of arrangement of data

12.2 + 18.6 + –4.3 + (–18.6)

12.2 + –4.3 + 18.6 + (–18.6)

The second step results into the presence of a commutative property.

The next step 12.2 + –4.3 + [18.6 + (–18.6)] is an associative property because here, re-grouping of numbers which gives the same result takes place

[18.6 + (–18.6)] is an additive inverse since the result is zero. Additive inverse occurs when the addition of a number to another number results into zero

12.2 + –4.3 + (0)   is an Identity property

Identity property occurs when the addition of any number with zero eventually resulted into that number.

Answer:

Commutative Property  

Associative property

Additive inverse  

Identity property

Step-by-step explanation:

how many boards,each 2 ft and 8 inches long, can be cut from a board 16 inches long?

Answers

Answer: 2

Step-by-step explanation: 16/8=2

Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store's revenue from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of Newspaper B. Write an expression in terms of r and p.

Answers

Answer:

[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]

Step-by-step explanation:

Given that:

Last Sunday a certain store sold copies of Newspaper A for $1.00 each

A = 1

and copies of Newspaper B for $1.25 each,

B = 1.25

and the store sold no other newspapers that day. If r percent of the store's revenue from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of Newspaper B.

Then ;

[tex]r = \dfrac{A}{A+1.25B} \times 100[/tex]  --- (1)

[tex]p = \dfrac{A}{A+B} \times 100[/tex]        --- (2)

From (2)

[tex]A+B = \dfrac{A}{p} \times 100[/tex]

[tex]B = \dfrac{A}{p} \times 100-A[/tex]

[tex]B = \dfrac{A( 100-p)}{p}[/tex]

Substituting the value of B into equation (1), we have:

[tex]r = \dfrac{A}{A+1.25 \times { \dfrac{A( 100-p)}{p}}} \times 100[/tex]

[tex]r = \dfrac{A}{A+1.25 \times { A( 100-p)}} \times 100p[/tex]

[tex]r = \dfrac{100p}{p+125 -1.25 p}[/tex]

[tex]r = \dfrac{100p}{125 -0.25 p}[/tex]

multiplying both numerator and denominator by 4; we have

[tex]r = \dfrac{4(100p) }{ 4(125 -0.25) p}[/tex]

[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]

helppppppppppppppppppppppppppp brainliest!!!

Answers

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

r = [tex]\frac{5}{8}[/tex] t - 9 ← is in slope- intercept form

with y- intercept c = - 9

Function 2 has the ordered pair (0, - 9 )

This indicates that when t = 0 , r = - 9

This is the y- intercept at - 9

Thus both functions have the same y- intercept

Help me answer this, please!​

Answers

Answer: see attachments

Step-by-step explanation:

D2 =4 is true for ? Please help and explain how to do these kind of problems I’m strugglingggg

Answers

Answer:it’s ask me in Jakes class we’re numbered in Order from 1 to 24 jake was asked to choose classmates numbered with 5 to be in his group witch numbered could be the number of classmates in his group

Step-by-step explanation:

(20 points!) Simplify i^31. A. 1 B. -1 C. i D. -i

Answers

Answer:

-i

Step-by-step explanation:

rewrite

one to any power is one

multiply

rewrite

Answer:

-i

Step-by-step explanation:

i^30 × i

(i^2)^15 × i

(-1)^15 × i

-1 × i

-i

Four times the sum of half a number and 6 is 48. How do you put this in an equation? Please help.

Answers

Answer:

4(1/2x+6)=48

Step-by-step explanation:

half a number= 1/2x

is= equal

How many integers at between 15 and 63?

Answers

Answer:

47

Step-by-step explanation:

Ok first lets do this with small numbers like 10 and 5. How many integers are between 10 and 5? which does not include 10 or 5. You do 10 minus 5 which is 5, but if you count how many integers are between them with your fingers you get 4.

so now you know to get the integers between 2 large numbers you subtract like normal then you mines a 1.

so 63 - 15 - 1 = 47

There are 47 integers between 15 and 63

Hope this helps :)

There have been 47 integer arithmetic in the range of 15 to 63.

Number of integer between two number = Highest number - Lowest number - 1

So,

Number of integer between 15 and 63

63 - 15 - 1

63 - 16= 47

So,

Number of integer between 15 and 63  = 47

Learn more:

https://brainly.com/question/13212492?referrer=searchResults

integrated Mann ist Quarter)
English
Given f(x) = 3x-1 and g(x) = 2x-3, for which value of x does slx) = f(2)?
3
PRO X-2
5
O X=
2
O x=4

Answers

Answer:

[tex]g(x)=f(2)[/tex]  for x = 4

Step-by-step explanation:

If [tex]f(x)=3x-1[/tex]

and   [tex]g(x)= 2x-3[/tex]

Then for which value of "x" does [tex]g(x)=f(2)[/tex] ?

So start by evaluating what [tex]f(2)[/tex]  is:

[tex]f(x)=3x-1\,\,\,\,therefore\,\,\,\, f92)=3\,(2)-1=6-1=5[/tex]

Then,we have to find for which value of x [tex]g(x)=5[/tex]

so we write g(x) explicitly:

[tex]2x-3=5\\2x=5+3\\2 x = 8\\x = 8/2\\x=4[/tex]

How many solutions does 10 + 5c = 5c

Answers

Answer:

No solutions

Step-by-step explanation:

Step 1: Write out equation

10 + 5c = 5c

Step 2: Subtract 5c on both sides

10 + 5c - 5c = 5c - 5c

10 ≠ 0

Since 10 doesn't equal 0, we do not have a solution for this equation.

Answer:

no solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

10+5c=5c

Step 1: Simplify both sides of the equation.

5c+10=5c

Step 2: Subtract 5c from both sides.

5c+10−5c=5c−5c

10=0

Step 3: Subtract 10 from both sides.

10−10=0−10

0=−10

Answer:

There are no solutions.

HOPE THIS HELPS!!!!!! :)

<3333333333

Camden is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 5 points. What would be Camden’s test score out of 50 if he got 2 questions wrong? What would be his score if he got x questions wrong

Answers

Answer:

1. 40 points2. 50-x points

Step-by-step explanation:

1. Given that the total number of points is  50

2. Each question is worth 5 points

We can now calculate the number of questions by dividing the total points by the worth of each question

the number of question is  = 50/5= 10

hence there are 10 questions available

if he misses 2  questions, which will amount to 10 points his score will be

50-10 = 40 points

Hence if he got x questions wrong his score will be

50-x points

Question 18 (5 points)
Which one of the following statements expresses a true proportion?
A) 3:4 = 9:12
B) 2:1 = 1:2
C) 7:9 = 8:9
D) 54:9 = 6:3

Answers

Answer:

A is the true proportion

Step-by-step explanation:

3/4 = 9/12 = 36 = 36

The sum of an AP is 549. Given that the common difference is 3,find
i. The 56th term
ii. The sum of its 32 terms​

Answers

Step-by-step explanation:

[tex]\red\star[/tex]Given

[tex]\blue\star[/tex]sn = 549

[tex]\blue\star[/tex] d = 3

[tex]\star[/tex]Find

[tex]\blue\star[/tex]56th term of Ap

[tex]\blue\star[/tex]the sum of 32 tem

please help me answer the assignment in the picture.

Answers

Mean: 52.2 because its the average of all the numbers

Range: 2   because (60-58)

Median: 53 because its in the middle of all the numbers

Mode : None

   

calculate the mid points of the line segments below using the midpoint formula given two endpoints (7,6) (10,10) ​

Answers

Answer: (8.5, 8)

Step-by-step explanation:

Doug can download new songs for $1.19 each. Write an equation to show how many songs he can download for $12.00.

Answers

Y=1.19x=12.00 the rate of change is 1.19

Simplify: 6-a(4-a)-2a

Answers

Answer:

a^2 - 6a + 6

Step-by-step explanation:

6−a(4−a)−2a =

6+a2+−4a+−2a

6+a2+−4a+−2a

(a^2)+(−4a+−2a)+(6)

a2+−6a+6

=a^2−6a+6

Ms. Ironperson lives due east from the shawarma mediterran grill and Mr. Thoro lives due south. Both leaves at the same time, ms.Iron person traveling at 50 mph and mr. Thoro at 60 mph. Calcute when they would be 400 mphs apart and how long would it take to happen

Answers

Correct question is;

Ms. Ironperson lives due east from the shawarma mediterran grill and Mr. Thoro lives due south. Both leaves at the same time, ms.Iron person traveling at 50 mph and mr. Thoro at 60 mph. Calculate when they would be 400 miles apart and how long would it take to happen

Answer:

They will be 400 miles apart when Ms. Ironperson has covered 256 miles and Mr. Thoro has covered 307 miles after 5.12 hours

Step-by-step explanation:

Since Ms. Ironperson lives due east from the shawarma mediterran grill and Mr. Thoro lives due south,then the distance between them will be the hypotenuse of a right angle triangle.

Now, we are told that Ms. Ironperson is traveling at 50 mph and that Mr. Thoro is traveling at 60 mph.

Thus, if we want to find when they would be at 400 miles apart, it means we have to find the distance Ms. Ironperson and Mr. Thoro would have covered after a time "t".

Thus,

Ms. Ironperson covered 50t miles

Mr. Thoro covered 60t miles

Therefore, since their location forms a right angled triangle, then we can use pythagoras theorem and we have;

(50t)² + (60t)² = 400²

This gives;

2500t² + 3600t² = 160000

6100t² = 160000

t² = 160000/6100

t = √(160000/6100)

t ≈ 5.12 hours

Thus, for Iron person, distance covered is: 50 × 5.12 = 256 miles

For Mr. Thoro, distance covered is: 60 × 5.12 ≈ 307 miles.

They will be 400 miles apart when Ms. Ironperson has covered 256 miles and Mr. Thoro has covered 307 miles after 5.12 hours

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