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Lera25 [3.4K]
3 years ago
7

"Part A: Solve −np − 70 < 40 for n. Show your work."

Mathematics
1 answer:
damaskus [11]3 years ago
4 0
-np - 70 < 40 -np < 40 + 70 -np < 110 -np/-p < 110/-p n < 110/-p 4w - 7k = 28 4w-4w-7k = 28 - 4w -7k = 28 - 4w -7k/-7 = 28-4w /-7 k = 28-4w/-7
You might be interested in
In the diagram triangles ABE and ACD are similar.
jolli1 [7]

Answer:

p = 7.2

q = 6.4

Step-by-step explanation:

if the triangles are similar then the side lengths must be proportional :

AC/BA = CD/BE

9/5 = p/4 cross multiply expressions

5p = 36 divide both sides by 5

p = 7.2

same goes for q

9/5 = (q+8)/8 cross multiply expressions

72 = 5(q+8) divide both sides by 5

14.4 = q+8 subtract 8 from both sides

6.4 = q

3 0
3 years ago
Find the distance between (-8,7) and (13,-1)​
grin007 [14]

Answer:

22.4722

Step-by-step explanation:

To answer this question we need to use the distance formula. The distance formula is as follows:

d = \sqrt{(x2 - x1)^2+(y2 - y1)^2}

Now, let's identify what each variable is:

x2 = 13

x1 = -8

y2 = -1

y1 = 7

Next, let's put these into the equation:

d = \sqrt{(13 - (-8))^2 + (-1 -7)^2}

Time to solve the equation:

d = \sqrt{(21)^2+(-8)^2} \\d = \sqrt{441 + 64} \\d = \sqrt{505} \\d = 22.4722

Therefore, the distance between the points of (-8,7) and (13,1) is 22.4722.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

6 0
3 years ago
Find the value of x :)
Damm [24]

Answer:

x=65

Step-by-step explanation:

130+75+90+x=360

add 130 75 and 90 together to simplify

295+x=360

subtract 295 by both sides to isolate x

x=65

hope that helped!

8 0
3 years ago
"During the tryouts for a university pep band, there were 4 trumpet players, 12 drummers, and 7 saxophonists. How many ways can
sladkih [1.3K]

The ways can the jazz band be selected  so there are 2 trumpet players, 5 drummers, and 3 saxophonists is given below .

Step-by-step explanation:

Let's first do the math with only the trumpet,drummer  and saxophonists player.

There are 4 Trumpet Player. There are 4 choices of trumpet players. Which means for each drummer, there are 4 groups of musicians:

T 1 D1S1

T 1 D2S2

and so on

So if there are 4 groups of musicians for each Trumpet ,12 drummer and there are 7 saxophonists , we get 12 groups.

It would be the product of

4T2, 12D5 and 7S3

That is 6*792*35=166,320

7 0
3 years ago
Determine the graph of the sinusoid with amplitude of 4 and period of 2π/3
DiKsa [7]

Answer:

Option b.

y = 4 sin (3x)

Step-by-step explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the attached image below, to find more information about the graph

The period is  

T = 2π/3

This means the frequency in radians is

W = 2π/T = 3

The equation is either:

y = 4 cos(3x)

y = 4 sin (3x)

The correct answer is

Option b.

y = 4 sin (3x)

3 0
3 years ago
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