Mathematics High School

How many prime numbers less than 100 have a units digit of 1?

Answers

Answer 1
There are two ways to solve this problem:

1) We can write down all the prime numbers and check if they have 1 as a unit digit. Then we count them.

2) This is quicker way. We write down all the numbers that are less than 100 and that have 1 as a unit digit:
1
11
21
31
41
51
61
71
81
91
Now we check if each of them is prime number. By definition 1 is not prime number. From our list prime numbers are: 11,31,41,61,71.

So, we have total of 5 prime numbers that are less than 100 and that have 1 as a unit digit.
Answer 2

There are 5 prime numbers less than 100 that have a units digit of 1.

To determine how many prime numbers less than 100 have a units digit of 1, we need to follow these steps:

List all the prime numbers less than 100.Filter out the prime numbers with a units digit of 1.List all prime numbers less than 100.

The prime numbers less than 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

Filter out the primes with a units digit of 1.

The primes with a units digit of 1 are: 11, 31, 41, 61, 71.

Related Questions

Rico travelled from the United States to the United Kingdom. Once Rico arrived, he converted his American dollars into British pounds (the currency in the U.K.). He gave the bank teller $500 and was given back 295 pounds. At the end of his vacation Rico had 75 pounds left over which he converted back into US dollars. How much money (in US dollars ) did Rico have when he got home? Round the answer to the hundredth.

Answers

105 us dollars is 75 pounds

Explain why 81 3/4 equals 27

Answers

81 to the 4th root is 3 and 3 cubed is 27.

General Idea:

There are few exponent rules that need to be used to simplify the rational exponent to get to the answer.

Exponent rules:

[tex] Rule\; 1: a \cdot a \cdot a \cdot a =a^4\\ \\ Rule\; 2: (a^m)^n=a^{m \times n} [/tex]

Applying the concept:

Rewriting 81 as a number with an exponent using prime factorization.

[tex] 81=3 \times 3 \times 3 \times 3 = 3^4\\ \\ Applying \; Rule \; 1, \; we\; get\; \\\\81^{\frac{3}{4}}=(3^4)^{\frac{3}{4}} \\ \\ Applying \; Rule \; 2,\; we\; get\\ \\ 3^{4 \times\frac{3}{4} } = 3^{\frac{12}{4} }=3^3=3 \times 3 \times 3 = 27 [/tex]

Conclusion:

The above explanation explains why [tex] 81^{\frac{3}{4}} =27 [/tex]

How to calculate linear distance between two points on circle circumference?

Answers

The distance between two points on the circumference of a circle is called the arc. If the arc length subtends an angle θ to the center of the circle and the circle has a radius r, then the length of the arc is calculated by the formula;
 θ/360 × 2πr.

If triangle ABC has sides of lengths 6,10,and x, between which two numbers must the value of x lie

Answers

The sum of two sides of a triangle must be more than the length of the third side. 6+4 = 10 so x must be greater than 4. 6 + 10 = 16, so x must be less than 16
4<x<16
x is between 4 and 16.

WORTH 20 POINTS!!
The endpoints of one diagonal of a rhombus are (0, -8) and (8, -4). If the coordinates of the 3rd vertex are (1, 0), what are the coordinates of the 4th vertex? (7, -12)
(7, -8)
(-8, -4)
(-4, -12)

Answers

Think about this problem as follows:

The rhombus consists of two lines which connecting the endpoints which are intersecting each other. If you have the slopes of these, you can create a relation which says that
[tex]k_1 \cdot k_2 = -1[/tex]
where [tex]k_i[/tex] are the slopes of the lines.

Now you have one slope, which is [tex]k_1 = \frac{-8 - (-4)}{0-8} = \frac{1}{2}[/tex] which means that the slope of the other one has to be

[tex]k_2 = -1 \cdot 2 = -2[/tex]

Given that you have the point (1,0) its trivial to see that this is satisfied by the point (7,-12)[tex]k_2 = \frac{-12-0}{7-1}=\frac{-12}{6} = -2[/tex]

Its worth noting that you want to draw the points, that you have the correct order when you calculate the slope.

The area of a triangle is 1440 cm^2. the base of the triangle is 5 times the height. what is the height of the triangle?

Answers

height = "h"
Triangle Area = .5 * base * height
1,440 = .5 * 5h * h
1,440 = 2.5 h^2
576 = h ^2
height = 24 centimeters
and the base is therefore 120 centimeters

Double Check
base = 120  cm
height 24 cm
area = .5 * 120 * 24
area = 1,440



Five is a solution of (Y < -3)

A.True

B.False

Answers

This is false. 

The integer '5' has a higher value than -3 as it leans on the right side of a number scale, while -3 sits on the left side.

I hope this helps!

PLEASE HELP SUPER EASY IM JUST STUPID

Which is the most accurate description of the polygon below?

Answers

It's a rhombus.
1. D
2. A
3. D
4. B
5. C

Answer:

It is a rhombus.

Step-by-step explanation:

To identify the type of polygon, we will first determine if the opposite sides are parallel.  To do this, we find the slope of each line segment.  (Parallel lines have the same slope.)

For WX, m = (5-2)/(1-5) = 3/-4 = -3/4

For XY, m = (2--1)/(5-1) = 3/4

For ZY, m = (2--1)/(-3-1) = 3/-4 = -3/4

For ZW, m = (2-5)/(-3-1) = -3/-4 = 3/4

Since the slopes of WX and ZY are the same, these two sides are parallel.  Since the slopes of XY and ZW are the same, these two sides are parallel.  Since opposite sides are parallel, the figure is a parallelogram.

In order to be a rectangle, the angles would have to be right angles.  Since perpendicular lines have slopes that are negative reciprocals of each other, the slopes of adjoining sides would have to be opposite signs and flipped.  This is not the case, so the angles are not right; this means it is not a rectangle.

The only other option for a parallelogram without right angles would be a rhombus.  This is the case if the length of each side is the same.  We will use the distance formula for this:

[tex]WX=\sqrt{(5-2)^2+(1-5)^2}=\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5\\\\XY=\sqrt{(2--1)^2+(5-1)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5\\\\YZ=\sqrt{(2--1)^2+(-3-1)^2}=\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5\\\\ZW=\sqrt{(2-5)^2+(-3-1)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5[/tex]

Since the length of each side is the same, this figure is a rhombus.

WILL GIVE A BRAINLEST!!!!!!

Solve and check : c-4/c-2=c-2/c+2 - 1/2-c


The solution is c =

How many extraneous solutions are there?

Answers

[tex]c=14[/tex]

There is no extraneous solution because as we put the value of c in equation (1), it does not make the equation (1) not define.

Step-by-step explanation:

Given :

[tex]\dfrac {c-4}{c-2} = \dfrac {c-2}{c+2} - \dfrac{1}{2-c}[/tex]                   --------- (1)

Calculation :

[tex]\dfrac {c-4}{c-2} = \dfrac {(c-2)^2+(c+2)}{(c+2)(c-2)}[/tex]

[tex]c-4 = \dfrac {(c^2-4c+4)+(c+2)}{(c+2)}[/tex]

[tex](c-4)(c+2) = (c^2-3c+6)[/tex]

[tex](c^2-2c-8) = (c^2-3c+6)[/tex]

[tex]c=14[/tex]

There is no extraneous solution because as we put the value of c in equation (1), it does not make the equation (1) not define.

For more information, refer the link given below

https://brainly.com/question/11897796?referrer=searchResults

Answer:

14 and Zero

Step-by-step explanation:

“How many times did you ride the Ferris wheel today?” Is the question a statistical question? Explain why or why not.

Answers

Well in a way...im not sure. lets see if we are dealing with statistical and last time i checked thats a part of math soo she/he is wondering how many TIMES the other person so...some part of be is saying Yes But then again no...you choose its your question xD (hope i helped somewhat)
"A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer. For example, "How many minutes do 6th grade students typically spend on homework each week?" is a statistical question." the first google result. not my work

helppppppppppppppppppppppppppppp

Answers

Answer:
x = 4

Explanation:
For the right hand side:
log base 9 of 8 + log base 9 of (x-2) = log base 9 (8*(x-2))
                                                          = log base 9 of (8x-16)
For the left hand side:
2*log base 9 of x = log base 9 of x^2

Now, equating the two sides and solving for x:
log base 9 of (8x-16) = log base 9 of x^2
This means that:
x^2 = 8x - 16
x^2 - 8x + 16 = 0
(x-4)^2 = 0
Therefore:
x = 4

Hope this helps :)

Which of the following values is closest to the mean for the set of data shown below?
23, 32, 20, 43, 41, 66, 63, 59, 54, 36, 45, 61, 55, 44, 47
A.45.9 B.50 C.58 D.54.3

Answers

the answer b

hoped it helped!!!
ok so to find the mean u need to add all the numbers (689)
 then divide by how much numbers there are (49.9)
so your answer is b

please mark brainliest!

Construction is under way at an airport. This map shows where the construction is taking place. If Road A and Road B are parallel, what is the distance from P to Q on Road C?433 feet



975 feet



1,050 feet



1,477 feet

Answers

For this case we observe that we have a problem of similarity of triangles.
 We can then use the following relationship to solve the problem:
 [tex] \frac{650+x}{800+1200} = \frac{650}{800} [/tex]
 From here, we clear the value of x.
 We have then:
 [tex] 650+x = \frac{650}{800}(800+1200) [/tex]
 Rewriting we have:
 [tex] 650+x = \frac{650}{800}(2000) [/tex]
 [tex] 650+x = 1625 [/tex]
 [tex] x = 1625 - 650 [/tex]
 [tex] x = 975 feet [/tex]
 Answer:
 the distance from P to Q on Road C is:
 [tex] x = 975 feet [/tex]





Answer:

if your asking for plato it will be B

Step-by-step explanation:

got it correct just now

Someone please help, with a cherry on top?

View attached graph and find the approx. slope

THANK YOU SOOO MUCH!!!

Answers

your answer is 4.8. hope this helps

help me i need it asap ! please and be correct plz

Answers

The right triangles are congruent, so
.. 2x -14 = 37 -x
.. 3x = 51 . . . . . . . add x+14
.. x = 17 . . . . . . . . divide by 3

x = 17

Find the area of a circle with a circumference of 2pi Either enter an exact answer in terms of 3.14 pi or as a decimal

Answers

C = 2 π r
2 π = 2 π r
r = 1
so
A = π r^2
A = 3.14 x 1^2
A = 3.14 

answer
A = 3.14

Write an equation in point-slope form for the line through the given point with the given slope. (–3, –7); m = -6/5

Answers

Point slope form : y-y₁=m(x-x₁)

Goes through (-3, -7) and the slope = -6/5

Since we are given the slope and the x₁ as well as y₁, we can simply plug everything into the point slope formula.

y - (-7) = -6/5(x - (-3))

Simplify.

y + 7 = -6/5(x + 3) 

~Hope I helped!~

Lisa made $286 for 13 hours of work. at the same rate, how many hours would she have to work to make $242 ?

Answers

Lisa wpuld have to work 11 hours to make $242

Write an inequality to represent the situation: The temperature stayed above -15 degrees. Help!

Answers

Answer:

Temperature t > -15 degrees.

Step-by-step explanation:

Let t denote the temperature.

The inequality sign for above or greater is >. The inequality sign for less than is <.

It is given temperature stayed above -15 degrees.

This can be written in inequality form as t> -15 °(degrees)

The inequality to represent the temperature is t > -15°C

Given data:

To represent the situation where the temperature stayed above -15 degrees, the inequality symbol used is ">".

In an inequality, the ">" symbol means "greater than." By using this symbol,  the temperature needs to be greater than -15 degrees.

The inequality representing this situation is:

Temperature > -15°C

So, t > -15°C

If the temperature is higher than -15 degrees, the inequality is true.

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ6

Complete the table. Original Price Percent 112 of Discount 32% Sale Price

Answers

I'm guessing you mean the original price is $112 and there is a discount of 32%. First you want to find how much the discount is, 32% of $112. 'of' means multiplication.

32% * 112

0.32 * 112

35.84

So there is a $35.84 discount, subtract this from the original price to find the price after discount:

$112 - $35.84 = $76.16

So the price after discount is $76.16.

Answer:

$76.16

Step-by-step explanation:

$76.16

Jessica needs 54 cupcakes for her party. They come in packs of 10.how many packs does Jessica need ?

Answers

6 packs. there will be 6 extra cupcakes 

Follow below steps:

To determine the number of packs Jessica needs for 54 cupcakes:

Divide the total number of cupcakes by the number of cupcakes in each pack: 54 ÷ 10 = 5.4

Since Jessica cannot buy a fraction of a pack, she needs to round up to the nearest whole number. Therefore, Jessica needs 6 packs of cupcakes.

Daniel read 3 books in 2.5 weeks. which rate represents this situation

7.5 books/3 weeks

3 books/2.5 weeks

3 books/7.5 weeks

2.5 books/3weeks

Answers

3 books/2.5 weeks. Because it basically just says it in the sentence and its impossible for it to be any other one

How would you factor 4x^2 + 9?
I think the answer has imaginary numbers in it, but how would you get the solution?

Answers

The answer is it cannot be. It is because if you use the difference of two square, the operation used must not be addition, but it would be subtraction.
It can be factored out if you will find the factors of 4x^2 - 9 =0
So the factors will be(using difference of two perfect squares):
(2x+3)(2x-3)
Cause if you will use the factors (2x+3)(2x+3) or even the negative signs to it, it will give:
4x^2+12x+9 or 4x^2-12x-9 

so for the answer of your question, it is invalid.

ASAP plz help fast thanks

Answers

Looks like A and D <<<<-===== short answer.
In order for lines to be perpendicular the slope of one line has to be the minus reciprocal (upside down) of the other. 
A
3x + y= 6
y = -3x + 6 So the second line has to be 1/3 Notice it is plus.

B
6x - 2y = 4
-2y = -6x + 4
y = (-6/-2)x + (4/-2)
y = 3x - 2

C
y = 3x - 2

D
y = 1/3 x +7

Choose the correct simplification of the expression a to the 9th power times b to the 10th power all over a to the 2nd power times b to the 7th power.

Answers

a^9 * b ^10
======
a^2 * b ^7

When you are dividing, then the powers are subtracted Top first, bottom second.
a^(9 - 2) b^(10 - 7)
a^7 b^3

telling a child that he won't amount to anything in life is a form of
(A)neglect
(B)emotional abuse
(C)physical abuse
(D)sexual abuse

Answers

Answer: Option B. Emotional abuse  
Emotional abuse, also called psychological violence, is a form of abuse where the person or sufferer is exposed to act which can result in psychological trauma and can include depression, anxiety, etc. So, this act of telling a child that he would not amount to anything is considered as emotional abuse.

Is the transformation a rotation about point j?

Answers

yes, if you rotated one of the figures at point B it would overlap the 2nd figure exactly.
Yes, it seems to have rotated about 90 degrees 

Find the value of x in the triangle shown below?

A. 44°
B. 29°
C. 107°
D. 90°


Answers

c. 107 44+29=73 180-73= 107
The sum of All the internal angles of triangle equals to 180 degree
So you can sum the one that are given and subtract 180 from them to find x which is 107

what is the approximate distance between the points (1 -2) and (-9 3) on a coordinate grid?

Answers

[tex]d= \sqrt{(-9-1)^2+(3-(-2))^2}= \sqrt{100+25}= \sqrt{125} \approx 11.18 \ \ \text{units}[/tex]

Answer:

11.18

Step-by-step explanation:

the factors of m^2 + 12m + 35 are?

Answers

m^2 + 12m + 35

Factored:
(m+5)(m+7)

Check:
(m+5)(m+7)
(m*m) + (m*7) + (5*m) + (5*7)
m^2 + 12m + 35

Hope this helps! :)
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