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faust18 [17]
3 years ago
7

You withdraw $29.79 from your bank account. Now your balance is $20.51. Write and solve an equation to find the amount of money i

n your bank account before you withdrew the money.
Mathematics
2 answers:
avanturin [10]3 years ago
3 0
X-29.79=20.51 or 29.79+20.51=x

x=50.30
Verdich [7]3 years ago
3 0
X=50.30

The other person was right
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A square ceiling has a diagonal of 23 ft. Shelton wants to put molding around the perimeter of the ceiling. The molding is sold
Hatshy [7]

Answer:

Minimum 66 feet of molding that he needs.

Step-by-step explanation:

Given that a square ceiling has a diagonal of 23 ft.

If the sides of the square ceiling are 'a' feet, then applying Pythagoras Theorem we can write, a² + a² = 23²

⇒ 2a² = 23²

⇒ a = 16.2634 feet (Approximate)

Now, the perimeter of the square ceiling will be 4a = 65.05 feet.

If the cost of molding along the perimeter of the ceiling is in per foot, then a minimum of 66 feet of molding that he needs. (Answer)

6 0
3 years ago
Read 2 more answers
4. What value of x makes the inequality true?<br> 3(2x - 1) - 11x S -3x + 5
NNADVOKAT [17]

Answer:

A. {x: 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  

Distributive Property

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
  • {Builder Set Notation}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

3(2x - 1) - 11x ≤ -3x + 5

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

  1. [Distributive Property Distribute 3:                                                                  6x - 3 - 11x ≤ -3x + 5
  2. [Subtraction] Combine like terms:                                                                   -5x - 3 ≤ -3x + 5
  3. [Addition Property of Equality] Add 5x on both sides:                                   -3 ≤ 2x + 5
  4. [Subtraction Property of Equality] Subtract 5 on both sides:                        -8 ≤ 2x
  5. [Division Property of Equality] Divide 2 on both sides:                                  -4 ≤ x
  6. Rewrite:                                                                                                             x ≥ -4
6 0
3 years ago
In 2008, the average household debt service ratio for homeowners was 13.2. The household debt service ratio is the ratio of debt
ankoles [38]

Answer:

t=\frac{13.88-13.2}{\frac{3.14}{\sqrt{44}}}=1.436    

df=n-1=44-1=43  

p_v =P(t_{(43)}>1.436)=0.079  

We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).

Step-by-step explanation:

Information given

\bar X=13.88 represent the sample mean

s=3.14 represent the sample standard deviation

n=44 sample size  

\mu_o =13.2 represent the value that we want to test

\alpha=0.05 represent the significance level

t would represent the statistic (variable of interest)  

p_v represent the p value for the test

Hypothesis to test

We want to conduct a hypothesis in order to check if the true mean has increased from 2008 , and the system of hypothesi are:  

Null hypothesis:\mu \leq 13.2  

Alternative hypothesis:\mu > 13.2  

The statistic for this case is:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Calculating the statistic

Replacing the info given we got:

t=\frac{13.88-13.2}{\frac{3.14}{\sqrt{44}}}=1.436    

P-value

The degrees of freedom are:

df=n-1=44-1=43  

Since is a right tailed test the p value is:  

p_v =P(t_{(43)}>1.436)=0.079  

Decision

We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).

8 0
4 years ago
What is the quotient of 8 and 72.16
Wittaler [7]
72.16./8 is equal to 9.02. 

72 divided by 8 is 9.

,16 divided by 8 is .02.
8 0
4 years ago
-3x - 3(6x - 1) = 3(1 - 5x)<br> I need help
IRINA_888 [86]

Answer:

x = 0

Step-by-step explanation:

Please see the step-by-step solution in the picture attached below.

Hope this answer can help you. Have a nice day!

4 0
3 years ago
Read 2 more answers
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