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lys-0071 [83]
2 years ago
13

Given: 4 < a < 5, 2 < b < 4 Find: a/3b - b/3a Please answer fast!!

Mathematics
2 answers:
vesna_86 [32]2 years ago
7 0

Answer:

answer

Step-by-step explanation:

you have to subtract 3b from 3a so the answer is 0.

frez [133]2 years ago
7 0

Answer:

1/9

Step-by-step explanation:

since 4 < a < 5, a= 4.5 and since 2 < b < 4, b=3

4.5/3(3) - 3/3(4.5)

then you can cross simplify and the 3s cancel out in the second half and the 4.5s cancel each other out leaving you with 1/3(3) which is 1/9

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Four integers have a mean of 12, a median of 14, a mode of 14 and a range of 12.
Zina [86]

Answer:

4, 14, 14, 16

Step-by-step explanation:

<u>Key</u><u> </u><u>skills</u><u> </u><u>needed</u><u>:</u><u> </u><u>Casework</u><u>,</u><u> </u><u>Mean</u><u>,</u><u> </u><u>Median</u><u>,</u><u> </u><u>and</u><u> </u><u>Mode</u>

1) We start with 4 numbers _ _ _ _

2) We can determine two of the numbers by using the fact that the median is 14 and the mode is 14.

3) The numbers would have to be:

  • _ 14 14 _
  • _ 14 14 14

The 2nd one does not work because the last number would have to be a 6 to have a mean of 12, but the range would not be 12.

4) So, our numbers are _ 14 14 _

5) The two numbers add up to 20 (in order to have a mean of 12. If you subtract the bigger one by the smaller one, it will be 12.

6) We can make a system: saying x is the bigger number and y is the smaller number.

x + y = 20

x - y = 12

Add both and you will get 2x = 32 (since the y values cancel out).

7) divide by on both sides, and x = 16.

8) To find y, we can plug x back in to one equation:

16 + y = 20

y = 4

Our smaller number is 4 and our bigger number is 16.

9) Therefore the numbers are: 4, 14, 14, 16

<em>Hope</em><em> </em><em>you</em><em> </em><em>understood</em><em> </em><em>and</em><em> </em><em>have</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em><em>!</em><em> </em><em>:</em><em>D</em>

5 0
2 years ago
Find
Zarrin [17]

The measures of two complementary angles are 64 degrees and 26 degrees

<h3><u>Solution:</u></h3>

Let the larger angle be "a" and smaller angle be "b"

<em>Two angles are Complementary when they add up to 90 degrees</em>

so we get,

a + b = 90 ------ eqn 1

Given that measure of the larger angle is 12 more than twice the measure of the smaller angle

larger angle = 12 + 2(smaller angle)

a = 12 + 2b --- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to get values of "a" and "b"</u></em>

Substitute eqn 2 in eqn 1

12 + 2b + b = 90

12 + 3b = 90

3b = 90 - 12

3b = 78

<h3>b = 26</h3>

Therefore from eqn 2,

a = 12 + 2b

a = 12 + 2(26)

a = 12 + 52

<h3>a = 64</h3>

Thus the measures of two complementary angles are 64 degrees and 26 degrees

7 0
2 years ago
Please help with this
snow_lady [41]

Answer:

B. -  \frac{9}{8}

Step-by-step explanation:

\huge\frac{ - 2 {a}^{ - 3} {b}^{2}  }{a}  \\  \\ \huge  =  \frac{ - 2  {b}^{2}  }{a \times{a}^{ 3} }   \\  \\ \huge =  \frac{ - 2  {b}^{2}  }{{a}^{ 4} }   \\  \\  \huge =  \frac{ - 2 \times  {3}^{2} }{ {( - 2)}^{4} }  \\  \\   \huge=  \frac{ - 2 \times 9}{16}  \\  \\  \huge  \red{=  -  \frac{9}{8} }

8 0
2 years ago
Help plz i’ll give extra points
swat32

elevation in feet = 8.56(140) + 674

elevation in feet = 1872.4

Round to the nearest whole number: 1872

Answer: 1872

4 0
2 years ago
The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of
Ipatiy [6.2K]

Answer:

a) 0.4121

b) $588

Step-by-step explanation:

Mean μ = $633

Standard deviation σ = $45.

Required:

a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?

We solve using z score formula

= z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x = $646

z = 646 - 633/45

z = 0.22222

Probability value from Z-Table:

P(x<646) = 0.58793

P(x>646) = 1 - P(x<646) = 0.41207

≈ 0.4121

b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)

Converting 0.16 to percentage = 0.16 × 100% = 16%

The z score of 16%

= -0.994

We are to find x

Using z score formula

z = (x-μ)/σ

-0.994 = x - 633/45

Cross Multiply

-0.994 × 45 = x - 633

-44.73 = x - 633

x = -44.73 + 633

x = $588.27

Approximately to the nearest dollar, the amount should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16

is $588

7 0
2 years ago
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