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maria [59]
3 years ago
15

Find the difference between 4/11 of 2½ and 3/4​

Mathematics
1 answer:
Lunna [17]3 years ago
4 0

Answer:

4/11 of 2 1/2 = 4/11 * 5/2 = 20 / 22 = 10/11

a common denominator of 11 and 4 is 44

So 40 / 44 - 33 / 44 = 7/44

Check 4/11 * 2.5 = .909

3/4 = .75    

difference = .909 - .750 = .159

7/44 = .159

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An item is priced at $80. It is on sale for 20% off the regular price. What is the sale price?
Masja [62]
Regular Pirce = $80.

Discount = 20%

Discount = 20% x $80 = 0.2 x 80 = $16

Sale Price = 80 - 16 = $64

----------------------------------------------------
Answer: The Sale Price is $64.
----------------------------------------------------
4 0
3 years ago
The principal P is borrowed at a simple interest rate are for a period of time T. Find the loans future value A, or the total am
Xelga [282]

Answer:

The total amount due after five years is $57,000.

Step-by-step explanation:

Recall that simple interest is given by the formula:

\displaystyle A=P(1+rt)

Where <em>A</em> is the final amount, <em>P</em> is the principal amount, <em>r</em> is the rate, and <em>t</em> is the time (in years).

Since we are investing a principal amount of $38,000 at a rate of 10.0% for five years, <em>P</em> = 38000, <em>r</em> = 0.1, and <em>t</em> = 5. Substitute:

\displaystyle A=38000(1+(0.1)(5))

Evaluate. Hence:

\displaystyle A=\$ 57,000

The total amount due after five years is $57,000.

4 0
3 years ago
Step 1 of 3: Each year a nationally recognized publication conducts its Survey of America’s Best Graduate and Professional Schoo
lukranit [14]

Answer:

Step-by-step explanation:

Hello!

Given the variables

Y: Starting salary of a graduate at a top business school

X: GMAT score of the business school

The sample used had a size n=20

The estimated regression equation was ^Y= -92040 + 228Xi

The correlation coefficients were r= 0.81

You need to know if r is statistically significant at a 0.05 level:

Assuming the hypotheses are:

H₀: There is a linear correlation between the variables of interest

H₁: There is no linear correlation between the variables of interest

α: 0.05

This test is two-tailed.

The p-value for a r=0.81 and n=20 is 0.000015

Using the p-value approach, the decision rule is:

If p-value ≤ α, reject the null hypothesis

If p-value > α, do not reject the null hypothesis

In this case, the p-value is less than α, the decision is to reject the null hypothesis.

At a 5% level, you can conclude that the coefficient of correlation is statistically significant.

4 0
3 years ago
1. Write an equation in point-slope form of the line that that passes through the point (4,-5) and has a
Aleks04 [339]

Answer:

y + 5 = (3/2)(x - 4)

Step-by-step explanation:

The point-slope formula is y - k = m(x - h).  We get h and k from the given point:  h = 4 and k = -5, and m from the given slope:  3/2.  Then we have:

y + 5 = (3/2)(x - 4)

7 0
3 years ago
Sam traveled 3/4 of a journey by bus. He jogged 1/2 of the remaining distance and walked the rest of the way. If he walked 800 f
Troyanec [42]
Let x = total distance he covered
3x/4         by bus
1/2 . x/4  =  x/8  by jogging
the remaining distance  =  x/8               by walking
thus      x/8 = 800ft
           x =    8 . 800 = 6400ft
3 0
3 years ago
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