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OLEGan [10]
1 year ago
14

The number 2^1993 + 3^1993 is a multiple of 5. What is the units digit of the quotient (2^1993 + 3^1993)/5?

Mathematics
1 answer:
Ad libitum [116K]1 year ago
3 0

Answer: The unit digit of the quotient is 1.

Step-by-step explanation:

Since the number 2^1993 + 3^1993 is a multiple of 5, this means that no matter the value of the answer to the equation, the last digit will be 5 (we call the last digit of any number its "unit digit").

Since the unit digit of 2^1993 + 3^1993 is 5, if the unit digit is divided by 5 i.e 5/5, it will give us 1.

We will only consider the last digits of the multiple of 5 as our numerator

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A teacher needs 70 lengths of string cut to 40cm each. If balls of string are 10 m long, how many balls will be needed.
Genrish500 [490]

Answer:

3

Step-by-step explanation:

A ball is 10 meters. Since 100 centimeters are in a meter, each ball has 100*10 = 1000 centimeters.

The teacher needs 70 strings each 40 centimeters. The total amount they need is 70*40 = 2800 centimeters.

Since a ball has 1000 centimeters, 2800 centimeters will need 3 balls for a total of 3000 centimeters.

5 0
2 years ago
If the tax rate on homes in Topeka, Kansas is 1.8 percent of their value and Bonnie owns a $100,000 house, how much will the rea
DochEvi [55]

Answer:

$150

Step-by-step explanation:

Annual Real Estate Tax Rate =1.8%

Value of Bonnie's House = $100,000

Annual Tax= 1.8 % × $100,000 =0.018 × $100,000 = $1,800

Therefore, tax payment on a monthly basis

= $1,800÷12 Months

= $150 per month.

Real estate tax will add $150 per month to Bonnie's mortgage payment.

5 0
1 year ago
A paper recycling bin has the dimensions shown.use the expression s3 where s represents the length of a side to find the volume
ziro4ka [17]
I found a similar problem with its corresponding figure. It shows a recycling bin whose length is 1/2 meters, width is 1/2 meters, and height is 1/2 meters.

Based on the measure, the bin is a cube. Its volume formula is s³.

V = (1/2 m)³
V = 1/2 m * 1/2 m * 1/2 m
V = 1/8 m³

V = 0.5 m * 0.5m * 0.5m = 0.125 m³
0.125m³ =  1/8 m³

The volume of the paper recycling bin is 1/8 m³ or 0.125m³
4 0
2 years ago
A number, x, rounded to 2 significant figures is 1300<br>Write down the error interval for x.​
nikitadnepr [17]

Answer:

[1250,1350).

Step-by-step explanation:

It is given that a number, x, rounded to 2 significant figures is 1300.

It is possible if,

1. The value of x is greater than of equal to 1250 and less than or equal to 1300.

i.e., 1250\leq x\leq 1300     ...(1)

2. The value of x is greater than of equal to 1300 and less than 1350.

i.e., 1300\leq x       ...(2)

On combining (1) and (2), we get

1250\leq x < 1350

1350 is not included in the error interval for x.​

Interval notation is [1250,1350).

Therefore, the error interval for x is [1250,1350).

7 0
2 years ago
Particle travels along a circular path that has a radius of 3 feet. The angular velocity of the particle is 18 radians per minut
Gala2k [10]
We know that

[length of a circumference ]=2*pi*r
for r=3 ft

[length of a circumference ]=2*pi*3-----------> 18.84 ft

<span>The angular velocity of the particle is 18 radians per minute.

if 2pi radians  (full circle)------------------> 18.84 ft
18 radians----------------------------------> X
X=18*18.84/(2*pi)---------> X=54 ft
so
</span>The linear velocity of the particle is 54 ft/minute

the answer is
54 ft/min
6 0
1 year ago
Read 2 more answers
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