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guapka [62]
4 years ago
8

a store had 44 regular sodas, both diet and regular. the ratio of diet sodas to regular sodas was 8:4. how many diet sodas were

there?
Mathematics
1 answer:
timurjin [86]4 years ago
7 0
There are 88 diet sodas
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7(2x-5)=21<br><br> What is x?
Over [174]

Answer:

x = 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

7(2x - 5) = 21

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 7:                   2x - 5 = 3
  2. Isolate <em>x</em> term:                2x = 8
  3. Isolate <em>x</em>:                         x = 4

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                  7(2(4) - 5) = 21
  2. Multiply:                             7(8 - 5) = 21
  3. Subtract:                            7(3) = 21
  4. Multiply:                             21 = 21

Here we see that 21 does indeed equal 21.

∴ x = 4 is the solution to the equation.

6 0
3 years ago
Convert 36000cm^2 to m^2
disa [49]

Answer:

its 3.6

Step-by-step explanation:

7 0
3 years ago
5. (6 marks) Use mathematical induction to prove that for each integer n ≥ 4, 5^n ≥ 2^2n+1 + 100.
Tju [1.3M]

Step-by-step explanation:

We will prove by mathematical induction that, for every natural n\geq 4,  

5^n\geq 2^{2n+1}+100

We will prove our base case, when n=4, to be true.

Base case:

5^4=625\geq 612=2^{2*4+1}+100

Inductive hypothesis:  

Given a natural n\geq 4,  

5^n\geq 2^{2n+1}+100

Now, we will assume the induction hypothesis and then use this assumption, involving n, to prove the statement for n + 1.

Inductive step:

2^{2(n+1)+1}+100=2^{2n+1+2}+100=\\=4*2^{2n+1}+100\leq 4(2^{2n+1}+100)\leq 4*5^n

With this we have proved our statement to be true for n+1.  

In conlusion, for every natural n\geq4.

5^n\geq 2^{2n+1}+100

7 0
3 years ago
What's is 25/6 as and importers fraction
Korvikt [17]
Esto meda la respuesta

5 0
4 years ago
Which is greater, 0.6 or 6? Please explain
____ [38]

Answer: 6

Step-by-step explanation: 0.6 is a decimal and not a whole number. But 6 is a whole number. So we can conclude that 6 is greater than 0.6

4 0
3 years ago
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