A farmer builds a rectangular pen with a perimeter of 116 feet. If the length is 5 feet more than the width, what is the width?

Answers

Answer 1

Answer: The formula for the perimeter of a rectangle is:
A=2l+2w.
We know the area is 116, so we can plug that in for A. Now, we cant solve the equation yet because it still has two variables. Since we know the length is 5 feet greater than the width, we can rewrite l in terms of w. So here is what our new equation will look like:
116=2(w+5)+2w
Now lets solve:
116=2w+10+2w
106=4w
w=26.5 ft.
The width is 26.5 ft.

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Andy,bette,cate,dustin,erik,and franco are rock collectors.Each collector has chosen some rocks from his ir her collection to trade.Each collector is going to trade with every other collector.How many different pairs of collectors will trade rocks?

Answers

Answer: 30 different pairs of collectors will trade rocks

Step-by-step explanation:

Andy,bette,cate,dustin,erik,and franco are six in number

Since each collector is going to trade with every other, the different way of trade will be 6 permutation 2

6P2 = 6!/(6-2)! = (6×5×4!)/4! = 6×5 = 30 ways

Therefore 30 different pairs of collectors will trade rocks

What is 15 - 1/6n = 1/6n - 1

Answers

15-1/6n=1/6n-1
15+1=1/6n+1/6n
16=1+1/6n
16=2/6n
16=1/3n
16*3/1=n
therefore, n=48.........

Answer:

n=48

Step-by-step explanation:

Determine the type and number of solutions of 4x^2-5x+1=0.A. Two real solutions
B. One real solution
C. Two imaginary solutions

Answers

4x² - 5x + 1 = 0
a = 4; b = - 5, c = 1
Δ = b² - 4.a.c
Δ = (-5)² - 4.4.1
Δ = 25 - 16
Δ = 9

x = - b ± √Δ / 2.a
$x = (-5\± √(9) )/(2*4)$
$x = (-5\±3)/(8)$
$x' = (-5-3)/(8) = (-8)/(8) = -1$
$x' = (-5+3)/(8) = (-2)/(8) (/2) = (-1)/(4)$

A. Two real solutions (x' = -1 and x'' = -1/4)

Xia and Hugh measured the lengths of two different ladybugs. Xia's ladybug measured 3 millimeters and Hugh's ladybug measured 2 mil. Which number sentence best represents the difference in length of the two ladybugs, in centimeters?0.5 - 0.3 = 0.2
0.5 - 0.3 = 0.02
0.05 - 0.03 = 0.02
0.05 - 0.03 = 0.2

Answers

To find the statement that represents the difference between these two, you will convert both to centimeters by dividing the number of millimeters by 10.

3 mm = 0.3 cm
5 mm = 0.5 cm

0.5 - 0.3 = 0.2 cm difference

The first choice is correct.

14. Craig jogs 12 km in 1 h. If he jogs at thesame rate, how long will it take him to jog
18 km?

Answers

Answer: 1:30 (one hour and thirty minutes)

Step-by-step explanation:

If he jogs 12 km in an hour, and he wants to jog 18 km, you divide 12 km from when he jogged for and hour by 2 and get 6. Add 12 km to 6 km, and get 18 km in one hour and thirty minutes. So, basically 6 km every 30 minutes.

Answer:

1.5 hours

Step-by-step explanation:

12/1 = 18/x

X = 18/12 = 1.5 hours

In division, a problem includes a divisor, a dividend and....

Answers

A quotient, which is the answer of the division.

quotient ,quotient ... i think

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