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Nuetrik [128]
3 years ago
14

5 1/6 + (7 1/3)l <60

Mathematics
1 answer:
agasfer [191]3 years ago
7 0

Answer:

l

Step-by-step explanation:

Given the inequality

5\dfrac{1}{6}+7\dfrac{1}{3}l

First, convert mixed numbers to improper fractions:

5\dfrac{1}{6}=\dfrac{5\cdot 6+1}{6}=\dfrac{31}{6}\\ \\7\dfrac{1}{3}=\dfrac{7\cdot 3+1}{3}=\dfrac{22}{3}

Now the inequality looks like

\dfrac{31}{6}+\dfrac{22}{3}l

Multiply it by 6:

\dfrac{31}{6}\cdot 6+\dfrac{22}{3}l\cdot 6

You might be interested in
Can you divide an odd number into two equal groups
Maslowich

Answer:

No you can not it would come out as a decimal form.

Step-by-step explanation:

3 divided by 2 is 1.5 or 1 1/2

This is not divided evenly between each other

This proves that (no) anything that is a odd number can not be divided equally

Hope that helps

7 0
3 years ago
If 6 is added to three quarters of a certain number, the result is 42 . Find the original number​
Basile [38]

Answer:

Step-by-step explanation

Hello!

3x/4 + 6=42

3x/4=42-6 = 36

3x = 36*4

3x = 144

x= 144/3 =48

3/4 of  48  = (48*3)  / 4 =36

36+6=42

the original number​ is 48

4 0
3 years ago
Read 2 more answers
Hi, I’m really confused if anyone could help me out that would mean a lot?:)
marusya05 [52]

Hey there! :)

Answer:

a) 32 sticks.

b) 5n + 2 sticks.

Step-by-step explanation:

Solve this by finding the pattern.

Pattern # 1 = 7 sticks.

Pattern #2 = 12 sticks

Pattern #3 = 17 sticks.

We can see an increase of 5 sticks within each. We can use this to write an equation:

f(n) = 7 + 5(n-1)

***Where n is the term number

You can simplify the equation to become:

f(n) = 7 + 5n - 5

f(n) = 5n + 2.

Use this equation to solve for pattern # 6:

f(6) = 7 + 5(n-1)

f(6) = 7 + 5(5)

f(6) = 7 + 25

f(6) = 32.

6 0
3 years ago
Help plz :((<br> I'll give brainliest
tamaranim1 [39]

For A. the muddy water will slowly begin to decrease because it's been left out in the sun, some of the water will begin to evaporate.

(I don't know about B, or C, but I tried my best on A.)

Make sure to put in your own words. :)

7 0
3 years ago
The price of a European tour includes stopovers at five cities to be selected from 15 cities. In how many ways can a traveler pl
xeze [42]

Answer:

The traveler can plan such a tour in 3003 ways.

Step-by-step explanation:

The order that the cities are chosen is not important, since it is chosen by the company and not by the traveler. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, we have that:

Combinations of 5 cities from a set of 15. So

C_{15,5} = \frac{15!}{5!10!} = 3003

The traveler can plan such a tour in 3003 ways.

4 0
3 years ago
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