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stepladder [879]
3 years ago
15

4n^2 -15n+9 factor completely

Mathematics
1 answer:
Nikitich [7]3 years ago
7 0
4n² - 15n + 9
4n² - 12n - 3n + 9
4n(n) - 4n(3) - 3(n) + 3(3)
4n(n - 3) - 3(n - 3)
(4n - 3)(n - 3)
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The cost for a pack of 18 pencils is $3.24. Find the unit price in dollars per pencil. If necessary, round your answer to the ne
nexus9112 [7]

Answer:

$0.18 per pencil.

Step-by-step explanation:

"Dollars per unit" means that you take the dollar amount and divide it by the amount of pencils, so you get 3.24/18, or .18.

4 0
3 years ago
Bo and Erica are yoga instructors. Between the two of them, they teach 45 yoga classes each week. If Erica teaches 15 fewer than
Solnce55 [7]

Answer:

20 and 25.

Step-by-step explanation:

Given:

They both teach total 45 yoga classes each week.

Erica teaches 15 fewer than twice as many as Bo.

To find:

How many classes does each instructor teach per week  = ?

Solution:

Let number of classes are taken by Bo = x

Then number of classes are taken by Erica = 2x - 15  (given)

Total number of classes are taken by both = 45           (given)

According to the question.

x + 2x - 15 = 45

3x - 15 = 45

By adding both side by 15

3x = 60\\

By dividing both side by 3

x = 20

number of classes are taken by Bo = x = 20

number of classes are taken by Erica = 2x - 15

                                                               = 2\times20 - 15 = 40- 15 = 25\\

Therefore, number of classes are taken by Bo and  Erica is 20 and 25.

6 0
3 years ago
In ΔTUV, the measure of ∠V=90°, VT = 64 feet, and UV = 43 feet. Find the measure of ∠U to the nearest tenth of a degree.
lbvjy [14]

Answer:

47.8°

Step-by-step explanation:

Let's first outline the important parameters

--- <V = 90°

Vt = 64

UV = 43

The angles in a triangle sums up to 180,but we don't have up to 2 angles given so as to find the third one. What we have to is to find the second angle,in this case T,using the sine rule.

Sin v/v = sin t/t

(Sin 90)/64 = sin t/43

Cross multiply and we have

43 sin 90 = 64 sin t

Sin t = 43 sin 90 ÷ 64

Sin t = 0.6719

Sine inverse of t = 42.2°(the second angle)

Angle U = 180 -( 90 + 42.2)

180 - 132.2

= 47.8°

7 0
3 years ago
Read 2 more answers
According to a college survey 32% of all students work fulltime. Find the mean for the number of students who work full time in
VLD [36.1K]

Answer:

mean is equal to 5.12

Step-by-step explanation:

<em>We are given that 32% of college students work fulltime. We have to find the mean for the number of student s who are working full time in a sample of 16</em>

success rate, p = 32% = 0.32

Sample size is denoted as n = 16

The forumla of mean is given as

mean = sample size × success rate

mean = n × p

         = 16 × 0.32

         = 5.12

3 0
3 years ago
(Which is the simplified form of the expression ? 3(7/5x+4)-2(3/2-5/4x)
Illusion [34]

Answer:

let's see what to do buddy....

Step-by-step explanation:

3( \frac{7}{5}x + 4) - 2( \frac{3}{2} -  \frac{5}{4}x) \\  \\  =  \frac{21}{5}x + 12  - 3 +  \frac{5}{2}x \\  \\  =  \frac{(21 \times 2) + (5 \times 5)}{10}  x + 9 =  \\  \\  \frac{42 + 25}{10} x + 9 =  \frac{67}{10}x + 9 = 6.7x + 9

5 0
3 years ago
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