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Fantom [35]
1 year ago
15

Solving Inequalities

Mathematics
2 answers:
Zepler [3.9K]1 year ago
6 0

Answer:

n > 10

n < 9

Interval notation:

(-∞, 9) U (10, ∞)

Step-by-step explanation:

2n + 7 > 27 or 3 + 3n < 30

     -7     -7      -3             -3

2n > 20                 3n < 27

÷2    ÷2                ÷3     ÷3

n > 10                      n < 9

<---------            ----------->

<---------0--------0--------->

           9         10

I hope this helps!

dlinn [17]1 year ago
5 0
N > 10 and n > 9


Explanation:

1. 2n+7 > 27. Subtract 7 from both sides to get 2n > 20. Divide both sides by 2 to get n > 10.

2. 3+3n > 30. Subtract 3 from both sides to get 3n > 27. Divide both sides by 3 to get n > 9.

I hope this helps! :)
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Two boats started to move towards each other from two docks, located 30 miles apart. One boat moved at a speed of 2.5 miles per
Vikki [24]

Answer:

They will meet after four hours

Step-by-step explanation:

The boat moving at 2.5 mph will have travelled 10 miles after 4 hrs, and the boat moving at 5 mph will have travelled 20 miles after 4 hrs

8 0
3 years ago
Use words to explain how to multiply (33)(34).
Setler [38]

Answer:

The answer is 1122.

Step-by-step explanation:

First, multiply 34 by 3. That gives you 102.

Then multiply 34 by 3 again. But when you're writing this down in calculations, put a zero in the ones column then write your answer. (I'll show an example of what this looks like at the bottom.

Then, add your answers and you'll have your answer...

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4 0
3 years ago
Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of
drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

or

y + 5 = 3/4 x

so, the last option is correct.

3 0
3 years ago
Jeff earns $27,800 per year. what is his bi-monthly gross pay
Anarel [89]
Below are the choices that can be found elsewhere:

<span>a. $1,158.33
b. $1,069.23
c. $2,316.66
d. $1,539.22
</span>
Below is the solution:
$27,800 / 12 months = 2,316
$2,316 / 2 since it bi-monthly = $1,158.33

Thank you for posting your question here. I hope the answer helps. 

3 0
4 years ago
Evaluate BD for A = 5, B = -2, C = 4 and D = -6.
bezimeni [28]
B*D?
B=-2
D=-6
B*D=(-2)*(-6)=12
5 0
3 years ago
Read 2 more answers
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