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aalyn [17]
2 years ago
5

Please help. Thank you!

Mathematics
1 answer:
Makovka662 [10]2 years ago
3 0

Answer: See explanation

Step-by-step explanation:

By the Triangle Inequality Theorem, the length of the side must be greater than 1 ft because the sum of two side lengths must be greater than the length of the third side. The third side must be less than 7 ft but greater than 1 ft.

Triangle inequality: 1 < x < 7

Hope that helped!

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Jack spent $40 on new shoes then he spent half of what he had left on clothes finally he gave five dollars to his brother now he
aleksandrvk [35]
This is a working backwards problem.  You know he has $35 at the end.  Before he gave his brother $5, he would have $40, which is half of what he had before he bought the clothes, so he would have had $80.  Before he spent the $40 on shoes, he would have had $120, so the answer is $120.
4 0
3 years ago
10 men working for 6 days can complete 5 copies of a book if there are 8 men working to complete 4 copies of the book how many d
Musya8 [376]

Answer:

6 Days

Step-by-step explanation:

Practically:

It takes,

10 Men ( complete ) 5 Copies --> 6 Days

So, 2 Men can complete 1 copy in 6 days.

Question asks us :

8 Men ( complete ) 4 Copies --> X Days

It will take 6 days because the proportion of men to copies is same as the first equation.

Theoretically:

10 Men 5 Copies 6 Days

8 Men   4 Copies  X Days

> 6/X = 8/10 ( If men decrease the number of days increase. So, it is an indirect proportion. ) . 5/4 ( If copies decrease the number of days decrease as well. So, it is a direct proportion. )

> 6/X = 8/10 . 5/4

> 6/X = 40/40

> 6/X = 1

<h2>> X=6</h2><h2></h2><h2><em>I hope it will be understood.</em></h2><h2><em>If I have any inaccuracies please let me know.</em></h2><h2><em>Have a nice day and never stop questioning!</em></h2><h3><em></em></h3>

6 0
3 years ago
Read 2 more answers
The cost in dollars y of producing x computer desks is given by y=80x+6000
Gnoma [55]

Answer:

(100,14000), (200, 22000), (300, 30000)

Step-by-step explanation:

y = 80x + 6000 ........ (1) is the equation which gives the cost (y) in dollars for making x number of computer desks.

Let, f(x) = 80x + 6000

So, f(100) = 80 × 100 + 6000 = 14000 {From equation (1)}

So, to produce 100 desks it costs $14000.

Again, f(200) = 80 × 200 + 6000 = 22000 {From equation (1)}

So, to produce 200 desks it costs $22000.

Again, f(300) = 80 × 300 + 6000 = 30000 {From equation (1)}

So, to produce 300 desks it costs $30000.

Then table will be (100,14000), (200, 22000), (300, 30000) (Answer)

5 0
3 years ago
HELP! Look at the stem-and-leaf plot. What is the mode of the numbers?
puteri [66]
The answer is 100
since the number 100 is the number that appears to be the most frequent
7 0
2 years ago
If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?
IrinaK [193]

Answer:

Speed of Current = 5 miles per hour

Step-by-step explanation:

We know distance formula,

D = RT

Where

D is distance

R is rate

T is time

If we let speed of boat (assume) to be "x" and speed of current to be "c"

Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

40 mins to go 20 miles downstream, that means:

D = RT

20 = (x + c)(40)

and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

----------------------------------

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

(1/12) * 60 = 5 miles per hour

Speed of Current = 5 miles per hour

3 0
3 years ago
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