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harkovskaia [24]
3 years ago
6

-3(x+3)+5<-3 How do you solve this inequality

Mathematics
1 answer:
Illusion [34]3 years ago
6 0

Answer:

x<1/-3

Step-by-step explanation:

Distribute -3 to (x+3)

-3x-9+5<-3

add like terms (-9+5=-4)

-3x-4<-3

add 4 to both sides

-3x<1

divide both sides by -3

x<1/-3

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5. Each year a tree farm grows 40 more trees than the number of trees grown the previous year. The farm sells all of their trees
Veronika [31]

Answer:

<em>1710 trees up to 2016 (not including 2016)</em>

<em>2100 trees up to 2016 (including 2016)</em>

Step-by-step explanation:

Given that

Farm started with 30 trees in 2007.

Every year 40 more trees than the previous year.

It is actually an Arithmetic Progression (AP) with

First term, a = 30 and

Common Difference, d = 40

The AP will look like:

30, 70, 110, 150, ....

We have to find the sum of this AP upto 9 terms and 10 terms:

9 terms sum will give us the total number of trees up to 2016 (not including 2016).

10 terms sum will give us the total number of trees up to 2016 (including 2016).

Formula for sum of 'n' terms of an AP:

S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_9=\dfrac{9}{2}(2\times 30+(9-1)40)\\\Rightarrow S_9=\dfrac{9}{2}(60+320)\\\Rightarrow S_9=\dfrac{9}{2}(380)\\\Rightarrow S_9=9 \times 180 = 1710

S_{10}=\dfrac{10}{2}(2\times 30+(10-1)40)\\\Rightarrow S_{10}=5(60+360)\\\Rightarrow S_{10}=5 \times 420\\\Rightarrow S_{10}=2100

<em>1710 trees up to 2016 (not including 2016)</em>

<em>2100 trees up to 2016 (including 2016)</em>

4 0
3 years ago
Emma is saving to buy av video game console that costs$249. She already saved$60 and b plans to save$22 per week. After how many
Bess [88]
Let w represent the number of weeks Emma saves her money. Then we want to find w for
  60 +22w ≥ 249
  22w ≥ 189 . . . . . . . . . subtract 60
  w ≥ 189/22 ≈ 8.591

Emma will have enough money after 9 weeks.
7 0
4 years ago
Read 2 more answers
Ashley is making 500 dollars a week at her job she receives a 20% pay raise
PSYCHO15rus [73]

Answer:


Step-by-step explanation:

Although you didn't finish the question Im assuming you want to know how much she'd get paid now. So you would do 500x.2=100 and would add that to her current pay. So she would be making 600 dollars a week

3 0
4 years ago
Square root 1.96? is rational irrational
Kruka [31]

Answer:

Rational

Step-by-step explanation:

An irrational number is a number with forever continuing decimals. Plug it into the calc and you can see if there is a long decimal line that ends. You should get 1.4 in the calc, and since it does end, it is a rational number.

4 0
3 years ago
What is simpler answer to 28 over 35
Maurinko [17]
<span>To find the simplest form of a fraction, you have to find the greatest common factor (GCF). To do so, list out the factors of the numerator (28) and the denominator (35) and find the biggest common number between the two numbers.
</span>
Factors of 28: 1, 2, 4, 7, 14, 28
<span>Factors of 35: 1, 5, 7, 35
</span>
Out of those factors, we can see that 1 and 7 are the common factors, but 7 is the greatest which makes it our GCF. 

<span>Now we can divide the numerator and the denominator by the GCF to receive our simplest form.
</span>
28 ÷ 7 = 4

35 ÷ 7 = 5

<span>Rewrite the fraction with the new numerator (4) and the new denominator (5).
</span>
The simplest form is: 4/5 or 0.8.
7 0
3 years ago
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