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dolphi86 [110]
3 years ago
10

I need help on this. Can someone please help me??

Mathematics
1 answer:
Veronika [31]3 years ago
4 0

Answer: A

Step-by-step explanation: if you want me to explain just comment

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The sum of 5 consecutive even numbers is 200 what is the fifth term in the sequence
Alex73 [517]
Try this option:
if to write the given sequence as n;n+2;n+4;n+6;n+8, then it is possible to write its sum:
n+n+2+n+4+n+6+n+8=200.
5n=180; n=36.
n=36 it means that the 1st number is 36. The 5th number is n+8=36+8=44.
all the even numbers are: 36;38;40;42;44.

answer: 44.
5 0
3 years ago
You have $110 to spend at the mall. You want to buy at most 6 articles of clothing. A clothing store sells shirts for $12 and pa
gladu [14]

Answer:

Part a) The graph in the attached figure (see the explanation)

Pat b)  see the explanation

Step-by-step explanation:

Part a)  Write and graph a system of linear inequalities that represents this situation

Let

x ----> the number of shirts you can buy

y ----> the number of pants you can buy

we know that

The word "at most" is the same that " less than or equal to"

The word "at least" is the same that " greater than or equal to"

so

x+y \leq 6 ----> inequality A

The amount you have to spend minus the number of shirts multiplied by its price minus the number of pants multiplied by its price must be greater than or equal to $20

110-12x-18y \geq 20

Rewrite

12x+18y\leq 90 ----> inequality B

using a graphing tool

see the attached figure

Part b) How many shirts and pairs of pants can you buy at the store?

The solution of the system of inequalities is the shaded area

The solution is all whole numbers included in the shaded area

Example

(0,5),(3,3),(6,0), (3,2),...

6 0
3 years ago
Find the y-coordinate of the vertex point of y = -4(x - 4)(x + 17
Vladimir79 [104]

(hope this helps) :)

7 0
3 years ago
In Exercises 1 and 2, find the equilibrium solutions of the differential equation specified.1) dy/dt = (y + 3)/(1 - y)2) dy/dt =
Aleks [24]

Answer:

1. Equilibrium solution: y= -3

2. Equilibrium solution y= ±1.414

Step-by-step explanation:

Thinking process:

The equilibrium solution can only be derived when \frac{dy}{dt}  = 0

1. Let's look at the first equation:

\frac{dy}{dt} = \frac{(y+3)}{(1-y)}

equating \frac{dy}{dt}  = 0 to the expression \frac{(y+3)}{(1-y)} gives

y + 3 = 0

     y = -3

Therefore, the equilibrium solution occurs at y = -3

2. Let's look at the second solution:

\frac{dy}{dy} = \frac{(t^{2}- 1) (y^{2}-2) }{y^{2}-4 }

dividing each side by (t²-1) gives

1/(t²-1)\frac{dy}{dt} = (y²-2)/ (y²-4)

factorizing the right hand side gives:

at equilibrium:  \frac{dy}{dt}  = 0, then

y² - 2 = 0

solving for y gives y = ±√2

                                 = ±1.414

5 0
4 years ago
Could u help me with this I got stuck and I don’t know how to finish
NikAS [45]

Answer:

10

Step-by-step explanation:

The IQR is the width of the box of the box plot. The box runs from 20 to 30, so its width is 10.

5 0
3 years ago
Read 2 more answers
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