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Romashka-Z-Leto [24]
3 years ago
8

Two consecutive odd whole numbers are selected. The difference between the reciprocals of the two numbers is 2/143. Determine th

e two numbers.
Mathematics
1 answer:
nikklg [1K]3 years ago
5 0

Answer:

  11 and 13

Step-by-step explanation:

Suppose the smaller one is x. Then the difference of their reciprocals is ...

  \dfrac{1}{x}-\dfrac{1}{x+2}=\dfrac{(x+2)-(x)}{x(x+2)}=\dfrac{2}{x(x+2)}

This tells us that x will be the smaller of the two factors of 143:

  143 = 11×13

  x = 11

The two numbers are 11 and 13.

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Abygail is building a dollhouse. She has boards that are two different lengths. One long board is 10 inches longer than the tota
nikitadnepr [17]

Answer:

9 in

Step-by-step explanation:

a short bored is 9 in

37-10=27

27÷3=9

So that means a short bored is 9 in

7 0
3 years ago
HELP PLEASE <br> 5/12-(x-3)/6≤(x-2)/3<br> Solve with a step by step solution
zlopas [31]

Answer:x>3 1/6

Step-by-step explanation:

5/12-(x-3)/6 <(x-2)/3

5/12 *12-(x-3)/6*12<(x-2)/6*12

5-2(x-3)<4(x-2)

5-2x+6<4x-8

-2x+11<4x-8

-2x<4x-19

-6x<-19

-6x(-1)<-19(-1)

6x>19

x>19/6

x>3 1/6

just change all the inequality signs to a x is greater or equal to 3 1/6 and on the rest change to and < and equal sign only put > or equal sign on the last three lines

8 0
3 years ago
The radius of the circular track was 157.64 feet find the circumference of the track
DerKrebs [107]
Before we solve for anything, let's remember what our formula is.

The circumference of a circle is 2PiR (2 x Pi x R).

Our radius is 157.64.
Pi is 3.14 (estimated).

Let's plug our numbers into the formula.

Circumference = 2 x 3.14 x 157.64.
2 x 3.14 = 6.28
6.28 x 157.64 = 989.979 (990 if estimated).

Your circumference is:
989.979 ft^2.

I hope this helps!
7 0
3 years ago
A family has five members a mom, a dad two sisters, and a brother. The family lines up single file. What is the probability that
STALIN [3.7K]

Answer:

1/5 chance

cause there are 5 people in the family and there is 1 brother and 1 spot for the front of the line

Step-by-step explanation:

5 0
4 years ago
Copy the problems onto your paper, mark the givens and prove the statements asked. Given: ∠BTO ≅ ∠IWE WI ≅ BT , OW ≅ ET Prove: △
Varvara68 [4.7K]

Answer:

\triangle BOT \cong \triangle IEW

Step-by-step explanation:

We are given the following in the question:

\angle BTO \cong \angle IWE\\WI \cong BT\\OT \cong EW

We have to prove:

\triangle BOT \cong \triangle IEW

Proof:

\text{In }\triangle BOT \text{ and } \triangle IEW

we can write:

\angle BTO = \angle IWE\text{ (Given)}\\WI \cong BT\text{ (Given)}\\OT \cong EW\text{ (Given)}

Hence, the two triangle are congruent by SAS congruency rule.

\triangle BOT \cong \triangle IEW

The attached image shows the two triangle.

8 0
3 years ago
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