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drek231 [11]
4 years ago
14

The ----------------states that multiplying a sum by a number is the same as multiplying each addenda by the number and then add

ing the products
Mathematics
1 answer:
DaniilM [7]4 years ago
7 0
Distributive Property
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Solve for x<br> 35+.8x=43-7x
Vinvika [58]

Answer:

x = 1.02564

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<u> </u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

35 + 0.8x = 43 - 7x

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

  1. [Addition Property of Equality] Add 7x on both sides:                                 35 + 7.8x = 43
  2. [Subtraction Property of Equality] Subtract 35 on both sides:                    7.8x = 8
  3. [Division Property of Equality] Divide 7.8 on both sides:                             x = 1.02564
7 0
3 years ago
Carl has 9 1/2 cups of juice for a party. If each party goer gets exactly 3/5 cup of juice each, how many party goers will get t
topjm [15]

Answer: 158

Step-by-step explanation:

Okay so the total is 9 5/10.

Each party goer needs 6/10

So 95/10 / 6/0=. 95/10x10/6

=950/6 = 158.

7 0
3 years ago
The lengths of nails produced in a factory are normally distributed with a mean of 3.34 centimeters and a standard deviation of
Shtirlitz [24]

Answer:

3.47 and 3.21

Step-by-step explanation:

Let us assume the nails length be X

X \sim N(3.34,0.07^2)

Value let separated the top 3% is T and for bottom it would be B

P(X < T)= 0.97

Now converting, we get

P(Z < \frac{T-3.34}{0.07})= 0.97

Based on the normal standard tables, we get

P(Z < 1.881)= 0.97

Now compare these two above equations

\frac{T-3.34}{0.07} = 1.881 \\\\ T = 1.881 \times 0.07 + 3.34 \\\\ = 3.47

So for top 3% it is 3.47

Now for bottom we applied the same method as shown above

P(Z < \frac{B-3.34}{0.07})= 0.03

Based on the normal standard tables, we get

P(Z < -1.881)= 0.03

Now compare these two above equations

\frac{B-3.34}{0.07} = -1.881

= -1.881 \times 0.07 + 3.34 \\\\ = 3.21

hence, for bottom it would be 3.21

7 0
3 years ago
What are the solutions to the equation?
viva [34]

\qquad\qquad\huge\underline{{\sf Answer}}♪

Let's solve ~

\qquad \sf  \dashrightarrow \:f(x) = g(x)

\qquad \sf  \dashrightarrow \:x + 2 =  -  {x}^{2} +  4

\qquad \sf  \dashrightarrow \: {x}^{2}  + x + 2 - 4 = 0

\qquad \sf  \dashrightarrow \: {x}^{2}  + x - 2 = 0

\qquad \sf  \dashrightarrow \: {x}^{2} + 2x - x - 2 = 0

\qquad \sf  \dashrightarrow \:x(x + 2) - (x + 2) = 0

\qquad \sf  \dashrightarrow \:(x + 2)(x - 1) = 0

Hence, x = -2 or x = 1

4 0
3 years ago
What is the value of p in the equation?
Klio2033 [76]

Answer:10

Step-by-step explanation:multiply and simplify

5 0
3 years ago
Read 2 more answers
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