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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

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

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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>

[Addition Property of Equality] Add 7x on both sides: 35 + 7.8x = 43
[Subtraction Property of Equality] Subtract 35 on both sides: 7.8x = 8
[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