A number has a remainder of 1 when divided by 4 a remainder of 2 when divided by 5 and a remainder of 3 when divided by 6. What is the smallest number that has the above properties?

Answers

Answer 1

Answer:

Smallest number with the properties in the question = 57

Step-by-step explanation:

Let's first find the LCM of the three numbers which it is divided by which are 4,5,6.

LCM of 4,5 and 6 is 60.

We are told that;

The number has a remainder of 1 when divided by 4

The number has a remainder of 2 when divided by 5

The number has a remainder of 3 when divided by 6

In all 3 cases, the difference between the divisor and the remainder is 3.

This means that the smallest number in that has the properties in the question must be; 60 - 3 = 57


Related Questions

An algebraic inequality is written in words. Which choice matches the statement?

"The product of 15 and a number, increased by 8 is at most 44."

A. 15n + 8 < 44
B. 15n + 8 > 44
C. 15n + 8 ≤ 44
D. 15n + 8 ≥ 44

Answers

Answer:

c

Step-by-step explanation:

it wouldnt be greater than or equal to because it says is at most so that means less than or equal to hope this helps

If a quadratic function is concave down, which of the following is true?

a is positive
a is negative
a is zero

Answers

Answer:

a is negative i think

Find the value of x ???????????? V

Answers

Step-by-step explanation:

By using formula of h^2=p^2+b^2

h=20

p=x

b=10

Now,

p=root h^2-b^2

x=root 20^2-10^2

x=root 400-100

x=root 300

x= 10root3

Angie takes a random sample of 100 students in her school and finds that 58% of the sample prefers art over music. There are 1,200 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer art over music? (5 points)

A. 696
B. 1,200
C. 58
D. 100

Answers

the answer would be b

the Answer is c

Step-by-step explanation:

Find the diameter of the reservoir. 18 m A 42 m В The diameter of the reservoir is meters.​

Answers

The answer for the diameter in meters is 2

hii please help i’ll give brainliest

Answers

1.1 families

2.6

3.3

Step-by-step explanation:

i believe that the answer, am sorry if am wrong

Answer:

1.) 4

2.) 1 + 2 + 3 + 4 + 5 + 6 = 21 families

3.) 4 + 5 + 6 = 15 families

Hope this helps!

Tomato juice comes in three different sized cans. The red can contains 6 cups, the blue can contains 2 pints, and the yellow can contains 32 fluid ounces.

Answers

Answer:

the red cup contains the highest amount of tomato juice

the blue and yellow cup contain the same amount of juice

the difference between the highest amount and the lowest is 10 ounces

Step-by-step explanation:

convert all the other measurements to ounces

i cup = 8 ounces

6 x 8 = 42

1 p = 16 ounces

16 x 2 = 32

Please help me it would mean the world. Extra points!
The answer is 15in^2 provided by my teacher I just need the work.

Answers

A = ((B+b)*h)/2
A = ((6+4)*3)/2
A = 15

Jack bought a motorbike the original price was $1800 but he got a discount of 15% what was the discounted price of the bike

Answers

Answer:

$1530

Step-by-step explanation:

Hi there!

What we know

Original price was $1800There was a discount of 15%

If this motorbike was on sale for 15% off, then we know that its discounted price is 85% of the original price (100-15=85)

Then, to find the discounted price, we multiply 1800 by 85%:

1800 × 85%

Change 85% into a decimal

= 1800 × 0.85

= 1530

Therefore the discounted price of the motorbike was $1530.

I hope this helps!

If you know the measure of one of the 8 angles, you can find the measure of all of the others. Try it. The measure of <1 = 120 degrees

Answers

Answer:

[tex]\angle 2 =60[/tex]

[tex]\angle 3 = 60[/tex]

[tex]\angle 4 = 120[/tex]

[tex]\angle 5 = 120[/tex]

[tex]\angle 6 = 60[/tex]

[tex]\angle 7 = 60[/tex]

[tex]\angle 8 = 120[/tex]

Step-by-step explanation:

Given

[tex]\angle 1 = 120^\circ[/tex]

See attachment

Required

Determine the other angles

[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are on a straight line.

So;

[tex]\angle 1 + \angle 2 =180[/tex]

Make [tex]\angle 2[/tex] the subject

[tex]\angle 2 =180 - \angle 1[/tex]

[tex]\angle 2 =180 - 120[/tex]

[tex]\angle 2 =60[/tex]

[tex]\angle 1[/tex] , [tex]\angle 4[/tex],  [tex]\angle 5[/tex] and [tex]\angle 8[/tex] are corresponding angles.

So;

[tex]\angle 4 =\angle 1 = 120[/tex]

[tex]\angle 5 =\angle 1 = 120[/tex]

[tex]\angle 8 =\angle 1 = 120[/tex]

Similarly; [tex]\angle 2[/tex] , [tex]\angle 3[/tex],  [tex]\angle 6[/tex] and [tex]\angle 7[/tex] are corresponding angles.

So;

[tex]\angle 3 =\angle 2 = 60[/tex]

[tex]\angle 6 =\angle 2 = 60[/tex]

[tex]\angle 7 =\angle 2 = 60[/tex]

If Malik purchases an iced coffee drink for $5.69 and leaves a $1 tip, what percentage did he tip?

Answers

Answer:

Malik tipped a 17.5% tip. You could also say he tipped a 17.6% tip depending on how you round. Both answers get you a dollar.

3х +7
2х + 3
x= ? please help i’m almost done with school

Answers

Answer:

34

Step-by-step explanation:

Add them together

5x+10=180

5x+10-10=180-10

5x=170

5x/5=170/5

x=34

Solve for t -7/4 =2/5t

Answers

Answer:

t = 35/12

Step-by-step explanation:

t - 7/4 = 2/5 t

t = 2/5 t + 7/4

t - 2/5 t = 7/4

t*(1-2/5) = 7/4

t*3/5 = 7/4

t = (7/4)/(3/5)

t = 7*5/4*3

t = 35/12

I need this to raise my grade

Answers

Answer:

PLease send a cclearer pic

Step-by-step explanation:

What is the difference?
2x+5 3х+5 X+ 1
x² – 3x - gx x²-g

Answers

Answer:

I think 57+2x−3gx  

2

Step-by-step explanation:

N
Which equation represents a proportional relationship?

Y=x+1/3
Y=3X+1/3
Y=1/3X

Answers

Which table shows a proportional relationship between x and y? x 2 4 5 6 y 6 12 18 21 x 1 3 4 5 y 50 150 200 250 x 3 5 7 8 y 1.5 2.5 3 4.5 x 1 2 3 6 y 1.5 3 6 9 the graph of a proportional relationship passes through (12,16) and (1,y) find y. can someone please walk me through this?

Question 4
1 pts
Snacks at a county fair are sold in containers shaped like a cone or a cylinder. The
dimensions of each container are shown in the drawing.
4 in.
3 in.
8 in.
12 in.
Which statement about the volumes of the cone and the cylinder is true?

Answers

Answer:

8 in

...............

...........

Answer: I just took the test so the answer would be...the volume of the cylinder is about 25 cubic inches greater than the volume of the cone

Step-by-step explanation: hope this helped thx for the points :D

Help me please |7-11|=

Answers

Answer:

-4

Step-by-step explanation:

7- 11= -4

Answer:

4, 7-11=-4, but absolute value cant be negative

Step-by-step explanation:

Find the missing angle.
Round to the nearest tenth.
B = 50°
b = 8
a = 10
A = [?]"

Answers

Answer:

73.2

Step-by-step explanation:

acellus

Answer:

The answer is 73.2 for Acellus people

Step-by-step explanation:


The table shows the distances of some places in town
from the school.
From least to greatest, order the locations by their
distance from school. From least to greatest ordered the locations by their distance from school. 1.Library- 3/5m 2.Post Office 1/2m 3.Park 3/4m 4.8/10m

Answers

4, 1, 3, 2




There you go

when twice a number is increased by 10, the sum is 42.what is the number?

Answers

22, hope this helps! :))
It’s 16 because 16+16 is 32 plus 10 sums to 42 pls make me the brainliest

If you spin the spinner once, determine the probability and the likelihood of spinning with colors red, orange, blue or green, red blue orange or green, not red

Answers

Answer:

Step-by-step explanation: There are 12 colours on a spinner,

Probability of red,orange, blue or green = 1/12×4 =4/12

=1/3

Probability of red,blue, orange or green= 1/12×4=1/3

Probability of not red= 1-1/12

=11/12

Solve the given polynomial by factoring. Check all answers that are correct.

f(y) = 3y^3 + y^2 + 9y + 3

A) y = 1/3
B) y = i√3
C) y = 3
D) y = -3
E) y = -1/3
F) y = ±i√3

Answers

It would be both E and F for this equation.

Please dont skip!! Answer please. Will give branliest. NO LINKS PLZ

Answers

Answer:

Solution given:

area of semi circle h=½πr²=½×π×5²=39.27in²

area of rectangle EFHI=l×b=6×3=18in²

area of rectangle CDFG=l×b=17×2=34in²

Total area: 39.27+18+34=91.27 square inches

Area of upper right rectangle

3(6)18in²

Area of top rectangle(square actually)

2(2)4in²

Area of bottom rectangle

5(2)10in²

Area of semicircle

πr²/2π(6+4/2)²/2π25/212.25π38.465in²

Area of middle rectangle

2(10)20in²

Total

18+4+10+38.465+2090.465in²

what is the volume of this?

Answers

Answer: 41,472

Step-by-step explanation:

Answer plzz fast 5. What fraction of the students spent at least 8 hours doing homework
that week? Express in lowest terms. *

Answers

Answer:

4/5

Hope this helps!!

4/5 should be the correct answer

Choose the function whose graph is given by:

A. y= -sin x + 2
B. y= sin x + 2
C. y = cos x-2
D. y = -COS X + 2

Answers

Answer: y= sin x+2

Step-by-step explanation:

Option b. equation y= sin x + 2 is showing the given graph.

What is function?

A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.

The graph of equation y= sin x + 2 is showing in the picture.

Hence, equation y= sin x + 2 is showing the given graph.

Learn more about function:

https://brainly.com/question/12431044

#SPJ2

Help me please






Thank you

Answers

Answer: 1.01

Step-by-step explanation:

4.09-3.08=1.01

Which expression is equivalent to 15 + 35

Answers

Answer:

5(3+7)are equal to15+35

Step-by-step explanation:

5(3+7) five multiply the bracket

15+35

it help you

Answer:

C5(3+7)

Step-by-step explanation:

So, lets ingore the answers, and jsut try to break down 15+35

What can we take from both 15 and 35?

Well, 5 is the only one I can see in this.

So lets take 5 from this:

5(3 + 7)

We got 3 since 5x3 is 15, and we got 7 since 5x7 is 35.

So lets look at our answers and see if 5(3 + 7) is one of them

Well, looking at C, that is exactly 5(3 +7)

So c is our answer.

Hope this helps!

3/10 divided divided by 6 =

Answers

Answer:

.05 or 1/20

Step-by-step explanation:

If you meant 3/10 divided by 6 then the answer is .05 aka 1/20

May I have brainliest if this helped you?

Hope this helped!!

Bella was here :)

You either meant the fraction 3/10 by 6 or 3 divided 10 divided by 6

Since I am not sure which one, I will do the work for both

1. 3/10 / 6

Convert 6 into a fraction

6 = 5 10/10

5 10/10=50/10

3/10 / 50/10

3/10 * 10/50 = 30/500

30/500= 3/50

3/50

2. 3 divided by 10 divided by 6

3 divided by 10 = 0.3

0.3 divided by 6 = 0.05

0.05

Hope this helps

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