MATHEMATICS MIDDLE SCHOOL

Solve.

3 + j / 11 = 2


j =__________

Answers

Answer 1
Answer: j would equal -11
first subtract 3 so 2 is -1
then divide -1 by 11
so j=-11
Answer 2
Answer:

This is how you solve it:

3 + j / 11 = 2

3 + j = 2 × 11

3 + j = 22

j = 22 - 3

j = 19

Now you could check your answer by substituting the value of j :

3 + j / 11 = 2

3 + 19 / 11 = 2

22/11 = 2

2 = 2

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What is the value of t in the equation t−35=-15?

Answers


Rearrange:

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

                     t/15-t/35-(1/15)=0 

Step by step solution :Step  1  : 1 Simplify —— 15 Advertising SkipEquation at the end of step  1  : t t 1 (—— - ——) - —— = 0 15 35 15 Step  2  : t Simplify —— 35 Equation at the end of step  2  : t t 1 (—— - ——) - —— = 0 15 35 15 Step  3  : t Simplify —— 15 Equation at the end of step  3  : t t 1 (—— - ——) - —— = 0 15 35 15 Step  4  :Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple 

      The left denominator is :       15 

      The right denominator is :       35 

        Number of times each prime factor
        appears in the factorization of: Prime 
 Factor  Left 
 Denominator  Right 
 Denominator  L.C.M = Max 
 {Left,Right} 310151117011 Product of all 
 Prime Factors 1535105


      Least Common Multiple: 
      105 

Calculating Multipliers :

 4.2    Calculate multipliers for the two fractions 


    Denote the Least Common Multiple by  L.C.M 
    Denote the Left Multiplier by  Left_M 
    Denote the Right Multiplier by  Right_M 
    Denote the Left Deniminator by  L_Deno 
    Denote the Right Multiplier by  R_Deno 

   Left_M = L.C.M / L_Deno = 7

   Right_M = L.C.M / R_Deno = 3

Making Equivalent Fractions :

 4.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well. 

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respectiveMultiplier.

L. Mult. • L. Num. t • 7 —————————————————— = ————— L.C.M 105 R. Mult. • R. Num. t • 3 —————————————————— = ————— L.C.M 105 Adding fractions that have a common denominator :

 4.4       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:

t • 7 - (t • 3) 4t ——————————————— = ——— 105 105 Equation at the end of step  4  : 4t 1 ——— - —— = 0 105 15 Step  5  :Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple 

      The left denominator is :       105 

      The right denominator is :       15 

        Number of times each prime factor
        appears in the factorization of: Prime 
 Factor  Left 
 Denominator  Right 
 Denominator  L.C.M = Max 
 {Left,Right} 311151117101 Product of all 
 Prime Factors 10515105


      Least Common Multiple: 
      105 

Calculating Multipliers :

 5.2    Calculate multipliers for the two fractions 


    Denote the Least Common Multiple by  L.C.M 
    Denote the Left Multiplier by  Left_M 
    Denote the Right Multiplier by  Right_M 
    Denote the Left Deniminator by  L_Deno 
    Denote the Right Multiplier by  R_Deno 

   Left_M = L.C.M / L_Deno = 1

   Right_M = L.C.M / R_Deno = 7

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

L. Mult. • L. Num. 4t —————————————————— = ——— L.C.M 105 R. Mult. • R. Num. 7 —————————————————— = ——— L.C.M 105 Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions 

4t - (7) 4t - 7 ———————— = —————— 105 105 Equation at the end of step  5  : 4t - 7 —————— = 0 105 Step  6  :When a fraction equals zero : 6.1    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:

4t-7 ———— • 105 = 0 • 105 105

Now, on the left hand side, the  105  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   4t-7  = 0

Solving a Single Variable Equation :

 6.2      Solve  :    4t-7 = 0 

 Add  7  to both sides of the equation : 
                      4t = 7 
Divide both sides of the equation by 4:
                     t = 7/4 = 1.750 

A. What is the domain?B. What does the domain mean in terms of the problem?

A. What is the range?
B. What does the range mean in terms of the problem?

A. When is the function decreasing?
B. What does this decreasing interval mean in terms of the problem?

Answers

Answer:

Step-by-step explanation:

Q.No.5

A) Domain is all the values that x can take.  In the graph we see that domain is

the values of x from 0 to 12 hours

Domain is 0≤x≤12

B) Domain is the no of hours as per the graph i.e. lower limit 0 to 12 hours

A) Range is the values what y can take.  Here the values temperature can take

From the graph we find that range is -2 to 4

-2≤y≤4

B) Range is the values what y can take.  Here the values temperature can take

A) Decreases whenever y decreases as x increases. Here. decreases for

x=0 to x=2

B) Decreasing interval is (0,2) and this means whenever number of hours increases the temperature decreases.

Sasha can mow 3/8 of an acre of grass in 45 Minutes. How many acres of grass does Sasha mow per hour?

Answers

For this you need to set up a ratio. Sasha can do you 3/8 in 45 minutes, which is 3/8:45, or (3/8)/45. In an hour, she can go x/60. Set the two equal to each other:

(3/8)/45 = x/60

Cross Multiply:

(3/8)*60 = 45*x
45x = 22.5
x = 1/2
She can do half an acre in an hour

Yolanda received a $70 gift card for a coffee store. She used it in buying some coffee that cost $8.43 per pound. After buying the coffee, she had $27.85 left onher card. How many pounds of coffee did she buy?

Answers

Answer:

5

Step-by-step explanation:

What is 4806 rounded to nearest 1000

Answers

5000 because anything over 4500 will round up to 5000

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Answers

Answer:

TU= 8

WU=10

TX=5

TV=10

Step-by-step explanation:
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