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

I'll give brainliest​

Answers

Answer:

7 oof

Step-by-step explanation:

To make a number pattern yuan used the rule add 5 with whole numbers as the startjng point. Which stament must be true about yuans list of numbers?☜︎

Answers

Answer:

All elements of the dataset will be whole numbers

Step-by-step explanation:

Given

[tex]Rule \to Add\ 5[/tex]

[tex]Start = n[/tex] ---- whole number

Required

A true statement about the list

If the starting point is n, then the list elements are as follows:

[tex]n , n + 5, n + 10, n + 15,....[/tex]

Also, since n is a whole number and 5 (the rule) which is added to the dataset is also a whole number;

Then the other elements of the dataset will be whole numbers

Antoine buys 8 caramel apples for 20.00. Each caramel apple costs the same amount. What is the cost, in dollars, per caramel apple?

Answers

Answer:

2.5 per Caramel apple , just divide it , I hope that's correct and I'm sorry if it's not.

Answer:

2 dollars

Step-by-step explanation:

HELP !!!!!!!!!!!!!!!!

Answers

f(x)=(x+3)^2 +78 hope this helps!!

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

What are some numerical expressions for 9 times x?

Answers

Answer:

9x

9 • x

9(x)

9*x

I think that's what the question means?

In this table, Davis recorded how far he could throw balls of different weights.
He modeled the data with a linear best-fit function. He can throw a certain ball 30 feet. Approximately how many pounds would this ball weigh?

a. 7.5 pounds
b. 8.1 pounds
c. 8.6 pounds
d. 9.1 pounds

Answers

Answer:

Option C

Step-by-step explanation:

By using linear best fit calculator for the given data,

Equation of the line of best fit will be,

y = -5.2514x + 74.94413

Here, x = Weight of the ball

y = Distance thrown by Davis

Now substitute y = 30 feet to calculate the weight (x) of the ball.

30 = -5.2514x + 74.94413

5.2514x = 74.94413 - 30

5.2514x = 44.94413

x = 8.5585

x ≈ 8.6 pounds

Therefore, David can throw a ball 30 feet weighing 8.6 pounds.

Option C will be the answer.

Select the correct answer from the drop down menu,
The square root of 125 is between
Band 9
Reset
Next
9 and 10
10 and 11
11 and 12

Answers

11 and 12

Step-by-step explanation:

The square root of 125 is between 11 x 11 = (121) and 12 × 12 = (144)

Answer:

11 and 12

Step-by-step explanation:

i just took the test

Given: sintheta=5/13
Find sin: 2theta

Answers

Answer:

sin 2θ=120/169

Step-by-step explanation:

A plane travels at a speed of 180 mph in still air. Flying with a tailwind, the plane is clocked over a distance of 900 miles. Flying against a headwind, it takes 2 hours
longer to complete the return trip. What was the wind velocity? (Round your answer to the nearest tenth.)

Answers

The answer the answer is appropriately 40

Giving brainlist to whoever answers

Answers

Answer:

14

Step-by-step explanation:

The trapezoids are similar, so you need to find which sides allign with each other. It can be seen that among the paralel sides of the trapezoid, the longer ones will be similar by the factor of 2. So, 2*7=14

Answer:

14 feet

Step-by-step explanation:

I really need help! is my answer correct ?

Answers

I believe your answer may be correct! Apologies if I’m wrong

The graph of y = f(x) is shown below. Find the value of f(9).







Answers

Answer:

f(9) = 4

Step-by-step explanation:

Locate x = 9 on the x- axis, go vertically up to meet the line at (9, 4 ) , then

The value of f(9) = 4

What is the initial value of the function represented by this graph? (1 point) A coordinate grid is shown with x- and y-axes labeled from 0 to 7 at increments of 1. A straight line joins the ordered pair 0, 5 with the ordered pair 7, 7. 0 4 5 7

Answers

Answer:

7

Step-by-step explanation:

got it right on the test

PLSSS HELP ASAP WILL GIVE BRAINLIEST
Solve by completing the square: 5x² + 20x + 32 = 0

Answers

Answer:

5x2 + 20x + 32 = 0 - 16977324

Step-by-step explanation:

What is the value of x in the equation 3x − 2 = x + 8?

Answers

Answer:

x=5

Step-by-step explanation:

We need to find the value of x the given equation: 3x-2=x+8

the goal when solving for equations is to isolate the variable onto one side, and have the number (value of what x is) on the other side

here's the equation:

3x-2=x+8

first, add 2 to both sides

3x-2=x+8

   +2   +2

___________

3x=x+10 (2 goes away on the left side, as -2+2=0)

now, subtract x from both sides

3x=x+10

-x   -x

______

2x=10 (x goes away on the right side, as x-x=0)

we have the variable isolated on one side, with the number on the other, but we need the value of x by itself (1x)

divide both sides by 2

x=5 (because 2x/2=1x, or x. 10/2=5).

therefore, the value of x is 5

Hope this helps!

What is the end behavior of the function f(x)=8x^5-3x^3 +8x+5

Answers

Answer:

x → +∞, y → +∞

x → -∞, y → -∞

Step-by-step explanation:

The trick to identify its behavior is to determine the degree of the function and the coefficient of the term with the highest exponent.

Negative coefficient and odd degree (x → +∞, y → -∞) (x → -∞, y → +∞).Negative coefficient and even degree (x → +∞, y → -∞) (x → -∞, y → -∞).Positive coefficient and odd degree (x → +∞, y → +∞) (x → -∞, y → -∞).Positive coefficient and even degree (x → +∞, y → +∞) (x → -∞, y → +∞).

math problem, help me please!!

Answers

Answer:

-3

Step-by-step explanation:

answer must be negative since graph opens downward

value of 'a' must must be less than -1

HELP ME PLEASE!. 20 points!

Answers

Answer:

Part 1: She will make $1,944.00 In 4 days.

Part 2: 0.38

a farmer has 20,000 soybeans seeds he has already planted 6,000 seeds he is planting 2,000 seeds on each acre of land how many acres can the framer plant with the remaining seeds​

Answers

Answer: Acres he can plant with the remaining seeds

Step-by-step explanation: hope this helps sry if wrong pls don’t be mad but if right you welcome

I need help with 13 ABCD

Answers

Answer:

a. n (table)     : 1  2  3  4  5  6

  s (students):4  6  8 10 12 14

b. Arithmetric, since it is adding and corresponding with the numbers

d. 32

not sure about c though. hope this helped.

Finding probability

Answers

Answer:

6/8??

Step-by-step explanation:

I am a little confused with the question but i believe its 6/8

In the year 2000, the population of a city was 600,000 citizens. The population increases at a rate of 1.8% per year.

a. Create and graph a function to model the population, y , (in thousands), x years after 2000.
b. In complete sentences, interpret the relationship between the rate of change of the function and its graph.
c. Predict the population of the city in the year 2012.

In your final answer, be sure to include your model, graph, interpretation, and prediction of the function.​

Answers

Answer:

a) 600,000 (1.018)ᵗ, the graph is below:

* "t" is the years. 2000 is the first year, so "t" would be 1. 2012 is the 12th year so "t" would be 12.

b) As the years go by, the population increases. The years (X), and population (Y) both increase together. The graph shows that when the years increase the population increases.

c) In 2012, which would be 12 years later, I predict the population would be around 743,232 people.

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZ

Select the correct answer.
Solve the following quadratic equation.

(x + 4)^2 = 25

A. x= 9 and r = -1
B. x= -9 and x = -1
C. x= -9 and x= 1
D. x = 9 and x = 1

Answers

Answer:

-9; 1

Step-by-step explanation:

x+4=5

x=5-4

x=1

x+4=-5

x=-5-4

x=-9

The solution of the quadratic equation (x + 4)^2 = 25 is x = -9 and x = 1

The correct answer is option (C)

What is quadratic equation?

"It is a polynomial with degree 2. The general form of quadratic equation is ax²+ b x + c =0, where a, b, c are real numbers with a ≠ 0."

For given example,

We need to find the solution of the quadratic equation (x + 4)^2 = 25.

⇒ (x + 4)^2 = 25

⇒ x² + 2(4)(x) + (4)² = 25

⇒ x² + 8x + 16 = 25

⇒ x² + 8x - 9 = 0

⇒ x² + 9x - x - 9 = 0

⇒ x(x + 9) - 1(x + 9) = 0

⇒ (x + 9)(x - 1) = 0

⇒ x + 9 = 0   and x - 1 = 0

x = -9 and x = 1

The correct answer is option (C)

Learn more about quadratic equation here:

https://brainly.com/question/1863222

#SPJ2

Which holds more, a cylinder with a height of 10.0 cm and a diameter of 7.0 cm or a cylinder with a height of 7.0 cm and a diameter of 10.0 cm? Explain your answer using calculations. *

Answers

Answer:

The cylinder with a height of 7.0 cm and a diameter of 10.0 cm

Step-by-step explanation:

v = πr²h

---------------------

cylinder with a height of 10.0 cm and a diameter of 7.0 cm

v = π(3.5²)10

v = 384.65 cm³

cylinder with a height of 7.0 cm and a diameter of 10.0 cm

v = π(5²)7

v = 549.5 cm²

549.5 > 384.65

The second cylinder holds more

I’m giving brainliest to who answers correct!

Answers

Answer:

y = 1/2x + 2

Step-by-step explanation:

for x=10, y=7

for x=20, y=12

for x=30, y=17

y = 1/2x + 2

5. If two angles are complementary and one angle is 40°, what is the other angle?
6. If two angles are supplementary and one angle is 40°, what is the other angle?

Answers

5. complementary angles = 90°

90 - 40 = 50

50°

6. supplementary angles = 180°

180 - 40 = 140

140°

5) complimentary angles = 90

If one is 40 then the other is = 90-40= 50

6) Supplementary angles = 180

If one is 40 then the other is = 180 - 40 = 140

Hope u understand

Please mark as the brainliest

Thank You

I bought 10 shirts. Some were R4 and some were R4,50. If the total cost was R43,50. How many of each type did I buy?

Answers

Answer:

Step-by-step explanation:

Solution:

Given dimensions of the rectangular sheet

Length = 28 cm

Breadth =22 cm

If the sheet is rolled to form a cylinder then the length becomes height and breadth becomes circumference of the base of a cylinder.

So Height of the cylinder (h)= 28 cm

Circumference of the base of a cylinder

The sum of two numbers is 41. The larger number is 21 more than the smaller number. What are the numbers?
Please help!

Answers

Answer:

srry its 31 and 10

Step-by-step explanation:

the numbers are 20 and 21

Hope I helped! :)

Please help me it would mean the world. A lot of points!
The answer is 80cm^2 provided by my teacher I just need the work.

Answers

The area of a parallelogram is l x h, so the work is just 8cm x 10cm = 80 cm^2
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