Find the smallest natural number that has a remainder 3 when divided by 5, a remainder 5 when divided by 7, and a remainder 8 when divided by 10.

Answers

Answer 1

Answer:

68

Step-by-step explanation:

"a remainder 3 when divided by 5": The number must be 3 more than a multiple of 5.

"a remainder 5 when divided by 7": The number must be 5 more than a multiple of 7.

"a remainder 8 when divided by 10": The number must be 8 more than a multiple of 10.

List some number that are 8 more than a multiple of 10:

18, 28, 38, 48, 58, 68, 78, 88, 98

List some number that are 5 more than a multiple of 7:

12, 19, 26, 33, 40, 47, 54, 61, 68, 75

We see 68 as a the lowest common multiple.

68/5 = 13 remainder 3

Answer: 68


Related Questions

Find the coordinates of the image of G(−3,9) after the translation (x,y)→(x+10,y−7) .
(13, 2)
(13, 16)
(7, 16)
(7, 2)

Answers

Answer:

D. (7,2)

Step-by-step explanation:

-3 +10 is 7

9-7 is 2.

kinda just put them together, you get (7, 2)

I hope this helps!

pls ❤ and mark brainliest pls!

The image of (-3, 9) is (7,2).

Mathematically speaking, a translation is defined by the following operation:

[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.[tex]T(x,y)[/tex] - Translation vector.[tex]P'(x,y)[/tex] - Resulting point.

If we know that [tex]P(x,y) = (-3, 9)[/tex] and [tex]T(x,y) = (10, -7)[/tex], then the resulting point is:

[tex]P'(x,y) = (-3, 9) + (10, -7)[/tex]

[tex]P'(x,y) = (7, 2)[/tex]

Hence, the image of (-3, 9) is (7,2).

We kindly invite you to check this question on translation: https://brainly.com/question/12463306

The graph of the equation

Answers

Answer:

Step-by-step explanation:

This equation has a vertical asymptote at x = -2 and a horizontal asymptote at y = 1. This is stuff you should know about rational equations as you learn about them. The vertical asymptote serves as the locked gate or really high wall that the graph cannot go through nor can it go around or over or under. The graph will never cross through the VA. The horizontal asymptote is a horizontal line, y = 1, that reveals the graph's end behavior. So picture this:

We have an x/y coordinate plane. There is a vertical asymptote at x = -2 and a horizontal line at y = 1. This graph, because it cannot go through the vertical asymptote, is "split" into 2 parts, basically. The left "part" comes in along the horizontal asymptote from negative infinity, almost touching it but not quite, and when it reaches x = -2, it drops along the vertical asymptote, almost touching it but not quite and goes down into negative infinity. The right "part" of the graph comes down from positive infinity along the vertical asymptote, almost touching it but not quite, and when it reaches y = 1, it curves along that line off into positive infinity.

Solve the equation for all values of x.
-x(x – 8)(x² + 25) = 0
From deltamath.com

Answers

Answer:

x=0   , x=8 , x = ±5i

Step-by-step explanation:

-x(x – 8)(x² + 25) = 0

Using the zero product property

-x =0   x-8 =0  x^2+25 =0

x =0    x= 8     x^2 = -25

x=0    x= 8    sqrt(x^2) = sqrt(-25)

                      x = ±5i

34. Which is the rule for the linear
function graphed below?

Answers

Answer:

We can note that this part of the graph is a linear function. This means that is has a general form: y = mx + c where m is the slop and c is the y-intercept (value of y at x=0). For the slope, we will use the points (0,2) and (3,5) to calculate it as follows: m = (y2-y1)/(x2-x1) = (5-2)/(3-0) = 1 For the y-intercept, we can note that at x=0, the value of y is 2. This means that the equation of the first part of the graph is: y = x + 2

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/703068-which-rules-define-the-function-graphed-below.html

In the figure below, APQR is drawn. The line SPT is drawn such that
SPT | QR
m. PQR
because they are
try
PLS HELP ASAP

Answers

Answer:

The First answer is 57

Step-by-step explanation:

You take the two angles that you have and add them. Then you subtract that number from 180 and you get your answer. So, it should look something like this; 46+77=123, 180-123=57

Х
49°
x=
degrees
PLEAIEJEHEHEHDJDJDJDI

Answers

Answer:

Step-by-step explanation:

Exterior equals the sum of opposite interior angles

x = 49 + 90

x = 139°

Which expression can be used to model the phrase “the sum of three and a number”?

Answers

Answer:

3+x

Step-by-step explanation:

lol im doing this on edge too

hope it helps

the sum of triple z and half of x

Answers

Answer:

3z+ 1/2 x

Step-by-step explanation:

This is an expression not an equation.

ILL MARL BRAINIEST IF YOU DO THIS CORRECTLY!!!

Drag each tile to the correct box.
Order the expressions from least value to greatest value.

Answers

Answer:

okie dokie 5557/57890/6678/2559


Your neighbor pays $40 to have her lawn mowed and always adds a 15% tip. You and your friend decide to mow the lawn together and split the earnings evenly.
How much will each of you make?

Answers

Answer:

$23

Step-by-step explanation:

A 15% tip on $40 is $6. The total you and your friend will receive is $46. When you split that evenly, you will each receive $23.

Cost of Mowing = $40

Tip = 15%

= 15/100×40

= $6

So you get $40 + $6

= $46

When you divide it in 2 people

= 46/2

= $23

Therefore each of you will make $23

Must click thanks and mark brainliest

WILL GIVE BRAINLIEST
How many integers n between 1 and 100 inclusive are there, such that n^2 + n is divisible by 99

Answers

Answer:

It is 121

Step-by-step explanation:

What is the volume of this figure?

Answers

Answer:

Volume = 480 cm³

Step-by-step explanation:

Volume = lwh

*Split the shape into 3 rectangles.

Rectangle 1: 4 x 4 x 8 = 128

Rectangle 2: 14 x 4 x 4 = 224

Rectangle 3: 4 x 4 x 8 = 128

Total: 128 + 224 + 128 = 480 cm³

Answer:

480

Step-by-step explanation:

just took the quiz

A motorbike is for sale at $13000. Finance is available at $3000 deposit and monthly
repayments of $520 for 4 years. What is the interest paid?

Answers

520 x 12 months x 4 years = 24960

24960 + 3000 deposit = 27,960 total paid.

27,960 - 13,000 = 14,960 total interest paid

10
6
What is the length of the missing side?

Answers

4 jshsuwhebdhdidbdbd

Find m<1


A. 70°

B. 65°

C. 50°

D. 40°

Answers

Question :- Find Angle 1 in diagram

Answer:- Exterior angle is equal to sum of two opposite interior Angle

so :- ATQ

[tex]140 = \angle1 + 90 \\ 140 - 90 = \angle1 \\ 50° = \angle1 \: \: ans[/tex]

so your answer is option (C) 50°

If p(x) = x^2-6x+5, find p(4)

Answers

Answer:

-3

Step-by-step explanation:

p(x) = x^2-6x+5

Let x= 4

p(4) = 4^2-6(4)+5

Exponents first

       = 16 -6(4) +5

Multiply

     = 16 -24 +5

Add and subtract

    = -8+5

   = -3

answer TO GET BRAINLY!!!

Answers

[tex]\huge\mathsf\green{ANSWER}:—[/tex]

[tex]option \: c \: \sqrt{4} \: is \: the \: correct \: option[/tex]

Explanation :-

[tex] \sqrt{4} = \sqrt{2 \times 2} = 2[/tex]

But irrational numbers are the numbers that are not rational numbers but 2 is a rational number that's why option c is correct .

plz mark me as brainliest answer

Divide. Write your answer as a decimal.

8.722÷(−3.56)=

Answers

Answer:

-2.45

Step-by-step explanation:

I used a calculator to find this so I hope it helps :)

Translate this phrase into an algebraic expression.
the sum of 4 and twice a number is 12

Answers

Answer:

4+2x = 12

Step-by-step explanation:

sum means add an is means equal

4+2x = 12

Answer:4 + 2x = 12

Step-by-step explanation:

the sum of 4 and twice a number is 12:

Have a great day! I hope this helps!! :)

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

1 : 3

Step-by-step explanation:

There are 2 orange triangles  and 6 blue triangles

2:6

Divide each by 2

2/2 : 6/2

1 : 3

Answer:

1:3

Step-by-step explanation:

There are 2 orange triangles and 6 blue triangles.

This can be shown as 2:6

You can then simplify the ratio down by halving it:

1:3

Hope this helps :)

Let vector a = 3i + j - k.

Find the vector b in the direction of vector a such that |b| = 5

Answers

Answer:

5i +(5/3)j - (5/3)k

Step-by-step explanation:

Vector b is in the same direction as vector a, so it is a scalar multiple of a.

b = ca for some positive real number c.

b = c(3i + j - k) = 3ci + cj - ck

|b| = sqrt[(3c)^2 + c^2 - c^2] = sqrt(9c^2) = 3c

If |b| = 5, then 3c = 5 and c = 5/3

That makes b = (5/3)(3i + j - k) = 5i +(5/3)j - (5/3)k

When the numbers 0.04, 0.40, 0.043 are arranged in order, which is the middle number?

Pls be quick

Answers

Answer:

0.043

Step-by-step explanation:

arranging in ascending order

0.04,0.043,0.40

or they are 0.040,0.043,0.400

so middle term is 0.043

Given :

the numbers are  0.04, 0.40, 0.043

Arrange the given decimal numbers in ascending order

smallest number is 0.04

So the order of given decimal numbers are

0.04,  0.043 , 0.40

From this we can see that the middle number is 0.043

So, the middle number of the numbers 0.04, 0.40, 0.043 is 0.043

Learn more : brainly.com/question/21106706

A car travels the first 19km of its journey at an average speed of 57km/h and the remaining 55km at an average speed of 110km/h. Find the average speed of the car for its entire journey.

Answers

Answer:

57km /hr+55km/hr÷2 = 56 km/hr

Answer: 14.8km/h

Hope this helps!! Have a good day!!

Somebody that knows the answer please help ASAP!!!!!

Answers

Answer:

Below!

Step-by-step explanation:

To find the volume of a cylinder, you can use this formula : v = πr^2h

r = 12km , h = 7 km

v = π(12km)^2(7)

  = 3166.72539

Round to the nearest 10th

  = 3166.7 km^3

Hope this helps! Best of luck <3

can you do LCM in division method of 550,750,900 plzz​

Answers

2 | 550,750,900

2 | 275,375,450

3 | 275,375,225

3 | 275,125,75

5 | 275,125,25

5 | 55,25,5

5 | 11,5,5

11 | 11,1,1

LCM:-2×2×3×3×5×5×5×11=49500

Please help explanation if possible

Answers

Answer:

2-point shots: 31

3-point shots: 6

Step-by-step explanation:

In order to solve this system of equations, we can use the method of elimination. We can start by multiplying the equation x + y = 37 by 2 in order to get the x terms to cancel out in the next step(They can do that because we are making them the same value, 2x). So, we get:

2(x + y) = 2(37)

2x + 2y = 74

Now, we can subtract the equation 2x + 2y = 74 from the equation 2x + 3y = 80 in order to make a one-variable equation:

2x + 3y = 80

-(2x + 2y) = -(74)

y = 6

We can plug in the value of y in one of the equations to find x:

x + (6) = 37

x = 31

Since x stands for the amount of 2-point shots and y for the 3-point shots, we can say:

2-point shots: 31

3-point shots: 6

Answer:

31 and 6

Step-by-step explanation:

The 2 equations modelling the situation are

x + y = 37 → (1)

2x + 3y = 80 → (2)

Multiplying (1) by - 2 and adding the result to (2) will eliminate x

- 2x - 2y = - 74 → (3)

Add (2) and (3) term by term to eliminate x

0 + y = 6

y = 6

Substitute y = 6 into (1) and solve for x

x + 6 = 37 ( subtract 6 from both sides )

x = 31

Then 2- point shots = 31 , 3- point shots = 6

Plz help guys, it is a pretty easy sum​

Answers

Answer:

a3+13a

Step-by-step explanation:

sorry I don't know how to solve this

Answer:+-3

Explanation:

I added 4 on both side so that a^2+1/a^2-2 becomes a^2+1/a^2+2 which is Special products of (a^2+1/a^2).

Helpp mee plss in this one

Answers

I think it’s ordinary annuity

if 2160= 2^a3^b5^c the solution set of a,b,c is
{4,3,0}
{1,0,3}
{4,3,1}
{2,3,4}​

Answers

Answer:

4,3,1

Step-by-step explanation:

2^a3^b5^c=2160

2^a3^b5^c=2^4 3^3 5^1

a=4,b=3 and c=1

A washing machine was marked 60% above its cost price . the shopkeeper allows a discount of 25% . calculate his gain%.​

Answers

Answer:

20%

Step-by-step explanation:

I looked it up and that's what I got

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