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spin [16.1K]
3 years ago
9

Write an equation to represent each relationship. Then solve the equation.

Mathematics
1 answer:
Bumek [7]3 years ago
6 0

Answer:

7

Step-by-step explanation:

Ten less than 3 times a number can be represented as 3n - 10 the number plus 4 is represented as n + 4 the same as means equal so 3n - 10 = n  + 4 so combine terms by subtracting an "n" from both sides and adding 10 to both sides so the left side becomes 2n and it equals the right side which becomes 14 so 2n = 14 so n = 7 CHECK YOUR ANSWER BY PLUGGING 7 IN FOR THE NUMBER IN THE ORIGINAL QUESTION 10 LESS THAN 3 x 7 GIVES YOU 11 AND 7 + 4 ALSO GETS YOU 11 SO YOU KNOW THAT 7 IS THE CORRECT ANSWER :) BYEEEE!!!! lol

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On a biased dice , the probability of getting a 6 is 4/5. The dice is rolled 500 times. How many sixes would you expect to roll?
tatyana61 [14]

Find 4/5 of 500.

4/5*500=400

You will roll 400 sixes.

5 0
3 years ago
Solve the differential equation x^3y"'− 3x^2 y" 6xy'−6y = 0.
Anna [14]
<span>Equation at the end of step  1  :</span><span> (((x3)•y)-(((3x2•y6)•x)•y))-6y = 0 </span><span>Step  2  :</span><span>Step  3  :</span>Pulling out like terms :

<span> 3.1 </span>    Pull out like factors :

  <span> -3x3y7 + x3y - 6y</span>  =  <span> -y • (3x3y6 - x3 + 6)</span> 

Trying to factor a multi variable polynomial :

<span> 3.2 </span>   Factoring   <span> 3x3y6 - x3 + 6</span> 

Try to factor this multi-variable trinomial using trial and error<span> 

 </span>Factorization fails

<span>Equation at the end of step  3  :</span><span> -y • (3x3y6 - x3 + 6) = 0 </span><span>Step  4  :</span>Theory - Roots of a product :

<span> 4.1 </span>   A product of several terms equals zero.<span> 

 </span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span> 

 </span>We shall now solve each term = 0 separately<span> 

 </span>In other words, we are going to solve as many equations as there are terms in the product<span> 

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Solving a Single Variable Equation :

<span> 4.2 </span>     Solve  :    -y = 0<span> 

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3 0
3 years ago
Find the volume of a cone with a height of 12 and a base diameter of 6.
vichka [17]

Answer: 466.56

Step-by-step explanation:

Volume = pi times radius^2 times height/3

Radius = 1/2 of the diameter

Volume = 3.24 times 6^2 times 12/3

Volume = 3.24 times 36 times 4

Volume = 116.64 times 4

Volume = 466.56

5 0
2 years ago
Mark gets picked up by the bus at 7:40 he arrives at school at 8:10 how long does it take to get to school
Elodia [21]
You could do this in two ways, you could either subtract immediately or convert the time given in hours into minutes
STEP 1:
8:10
- 7:40
which will give 0:30
STEP 2:
8 hours 10 minutes into minutes is
(8 * 60) +10 = 490 minutes
7 hours 40 minutes into minutes is
(7*40) + 40 = 460 minutes
490 - 460
= 30minutes
3 0
4 years ago
Read 2 more answers
Does anyone know how to find the side length of this square.if so then, i will mark brainlist.
kvv77 [185]
Hello!

To find the side length you use the equation

a =  \sqrt{2}  \frac{d}{2}

a is side length
d is diagonal

Put in the number we know

a =  \sqrt{2} *  \frac{27}{2}

Divide

a =  \sqrt{2} * 13.5

Multiply

a = 19.091

The answer is 19.09

Hope this helps!
8 0
4 years ago
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