1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Talja [164]
3 years ago
7

X/3-15=-2 solve for x

Mathematics
1 answer:
Otrada [13]3 years ago
3 0

Answer:

x = 45

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/3-(15)=0

Step  1  : <u>Simplify</u>

\frac{x}{3}      

Equation at the end of step  1  :

\frac{x}{3} -  15  = 0    

Step  2  :

<u>Rewriting the whole as an Equivalent Fraction :</u>

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :            

15=\frac{15}{1} =\frac{15*3}{3}

<u>Equivalent fraction :</u> The fraction thus generated looks different but has the same value as the whole

<u>Common denominator : </u>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

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:

\frac{x-(15*3)}{3} =\frac{x-45}{3}

Equation at the end of step  2  :

\frac{x-45}{3} =0

Step  3  :

When a fraction equals zero :

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

\frac{x-45}{3}*3=0*3

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-45  = 0

Solving a Single Variable Equation :

<u>Solve  :</u>    x-45 = 0

Add  45  to both sides of the equation :

x = 45

One solution was found :

x = 45

You might be interested in
You hike 190 meters up a steep hill that has a 33∘ angle of elevation as shown in the diagram.
erik [133]

Answer:

b = 159 m

a = 103 m

angle B is 57 degrees

Step-by-step explanation:

Let’s start with getting the measure of angle B

Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle

So we have the measure of B as;

90-33 = 57 degrees

To get the value of a, we use the appropriate trigonometric ratio

a faces the angle 33, that makes it an opposite to that angle

190 faces the right angle and that makes it the hypotenuse

Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse

so, we have it that;

sine 33 = a/190

a = 190 * sine 33

a = 103 m

to get b, it is adjacent to the given angle

So with the hypotenuse, the ratio between it and the hypotenuse is the cosine

so;

cos 33 = b/190

b = 190 * cos 33

b = 159 m

4 0
3 years ago
Determine the product: (46.2 × 10–1) ⋅ (5.7 × 10–6). Write your answer in scientific notation.
lianna [129]

Answer:

A

Step-by-step explanation:

10-6 X 10-1 = 10-7

5.7*46.2=263.34

263.34=2.6334 x 10^2

10^2 x 10^-7 = 10^-5

so

=2.6334 x 10-5

7 0
3 years ago
What is 2 divided by 3 written as fractions?
Pachacha [2.7K]

1/3 with a line over the answer ( 0.66666666666...)

4 0
3 years ago
22 points !!! multiply. express your answer as a fraction simplest form. 8.33 x 144
dem82 [27]

Answer:

99 24/25

Step-by-step explanation:

8.33*√144=

8.33*12=99 24/25 or 100 with 8.33 bar

8 0
3 years ago
Read 2 more answers
Write a division problem that will have a two digit quotient and another division problem that will have a 3 digit quotient. Exp
il63 [147K]
48 divided by 2 = 24
3333 divided by 6 = 555.5
5 0
2 years ago
Other questions:
  • how many meatballs are required fora party of 10 adults and 5 childen? fomual is m=4a+2 where c= children and m=meatball and a=
    9·1 answer
  • Can someone help me with Volume pyramids..​
    7·1 answer
  • your mum has saved £12000 and agreed to give you a share, would you rather have 1 fith or 1 tenth of a share
    11·2 answers
  • I NEED HELP!!!!!!!!!!!
    11·1 answer
  • What is 35percent of 275​
    12·2 answers
  • Please show work for BRAINLIEST
    10·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D6%3D%5Cfrac%7B15%7D%7B18%7D%20what%20does%20n%20equal%3F" id="TexFormula1" title
    14·1 answer
  • Help me pls I’ll give brainliest
    5·2 answers
  • A grocer sold 25 fewer kilograms of fruit on the first day of operation than he did on the second day. On the third day, the gro
    14·2 answers
  • HELP PLEASE I NEED THIS FOR MY TEST TODAY HELP
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!