What is the least positive integer which when divided by 5 gives a remainder of 4, when divided by 6 gives a remainder of 5, when divided by 7 gives a remainder of 6, when divided by 8 gives a remainder of 7, when divided by 9 gives a remainder of 8, and when divided by 10 gives a remainder of 9

Answers

Answer 1

Answer:

  2519

Step-by-step explanation:

In each case, the remainder is 1 less than the divisor. This means the number of interest will be 1 less than the least common multiple of 5, 6, 7, 8, 9, 10.

The prime factors of these numbers are ...

  5 = 5

  6 = 2·3

  7 = 7

  8 = 2³

  9 = 3²

  10 = 2·5

The unique factors are 2, 3, 5, 7. When they are used to their highest powers, the resulting product is ...

  2³·3²·5·7 = 2520

The number of interest is 1 less than this, so is 2519.

2519 is the least positive integer that will give the required remainders.


Related Questions

Q.The total surface area of a cylinder is
3080cm² and height is 21cm. Find its base radius.
Show full process.

Answers

Answer:

r≈14cm

h Height

21

cm

A Surface area

3080

cm²

Using the formula

A=2πrh+2πr2

Solving forr

r=1

2h2+2A

π﹣h

2=1

2·212+2·3080

π﹣21

2≈14.00402cm

-g + 2 (3 + g) = -4 (g + 1)

Answers

-g+6+2g=-4g-4
g+6=-4g-4
-6. -6
g=-4g-10
+g. +g
5g=-10
g=-2

the graph of linear function g is shown on the grid

what is the zero of g

-6
-9
0
-5

Answers

Answer:

Option A, - 6

Step-by-step explanation:

The zero of a function is the value on the x-axis when y is 0

Answer:

the answer is -9

Step-by-step explanation:

the answer is -9 becaise


3
x
+
y
=
−3x+y=



3
−3

6
x
+
2
y
=
−6x+2y=



3
−3

Answers

Answer: -3x+4

Step-by-step explanation:

combine like terms.

3x+ -6x=-3

-3+-3+2= -4

-3x + -4

A cable is 40 decimeters long how long is the cable in meters and be sure to include the correct unit

Answers

Answer:

4 m

Step-by-step explanation:

1 m = 10 dm

1 dm = 0.1m

(pls brainliest)

its about drive
its about power
we stay hungry
we devour

Answers

Answer:

AYYYYY GET IT !!!!

Step-by-step explanation:

Answer:

put in the work put in the hour and take what's ours

Step-by-step explanation:

The neon lights on the dance club sign blink 240 times in 2 minutes. How many times does the neon sign blink in 10 minutes?

Answers

Answer:

1200 times in 10 minutes.

Step-by-step explanation:

There's 5 amounts of 2 minutes in 10.

Therefore multiply 240 by 5.

24 x 5 = 120 x 10 = 1200 times.

Answer:

If it blinks 240 times in 2 minutes, then you need to multiply 240 and 5. My work is shown below...

2 = 240

2 x 5 = 10

5 x 240 = 1200

This means the neon sign blinks 1200 times every 10 minutes.

Step-by-step explanation:

Have a great day and please mark brainliest!

Please help guys this is just domain and range

Answers

Answer:

domain: x>=0

range: y>=1

Step-by-step explanation:

domain: x>=0

range: y>=1

Can someone please help me with this?

Answers

Answer:.35,38% 3/5

Step-by-step explanation:Hope this helped

Answer: 0.35, 38% , 3/5

Step-by-step explanation:

3/5= 0.6= 0.60

38%= 0.38

0.35

Coffee then:45 calories Coffee now:270 calories what is the percent of increase

Answers

Answer:

611.111 repeating

Step-by-step explanation:

Take 270 and divide it by 45 and then move the decimal point 2 times over to the right to make it a percent.

Answer:

+600%

Step-by-step explanation:

[tex]\frac{270}{45} =\frac{x}{100} \\270x100=45x\\27,000=45x\\\frac{27,000}{45} =x\\x=+600%[/tex]

hope that helps!

Evaluate –3ab when a = –2 and b = 5.

Answers

Answer:

30

Step-by-step explanation:

Evaluate –3ab when a = –2 and b = 5.

-3ab = -3(-2)(5)

-3(-10)

; (-)×(-) = +

30

Answer:

-30

Step-by-step explanation:

-3ab        original equation

-3(-2)(-5) .          plug in numerical values

6(-5) .             -3 times -2 is 6

-30 .         6 times -5 is -30.

Find the roots of the equation
x^2 +7= 2x
express your answer in simplest a +bi form

Answers

[tex]x^2+7=2x\\\\\implies x^2 -2x +7 =0\\\\\text{Apply quadratic formula,}~ x =\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{in this case,}~ a = 1, b= -2 ~\text{and}~ c = 7\\\\\\x= \dfrac{-(-2) \pm \sqrt{(-2)^2 -4\cdot 1 \cdot 7}}{2\cdot 1}\\\\\\\implies x =\dfrac{2 \pm \sqrt{-24}}{2}\\\\\\\implies x = \dfrac{2 \pm i\sqrt{24}}2\\\\\implies x =\dfrac{2 \pm i2\sqrt{6}}2\\\\\implies x = \dfrac{2\left(1 \pm i \sqrt 6\right)}2\\\\\implies x = 1 \pm i\sqrt 6\\\\[/tex]

[tex]\text{Hence,}~ x = 1-i\sqrt 6 ~\text{or}~ x = 1+i\sqrt 6[/tex]

At a football game.120 tickets were solf and the concession stand sales were 600. The next week. 150 tickets were sold and the concession stand cells were $750. write a linear equation to represent this situation. How much would u expect the stand ti make if only 90 tickets sold

Answers

Answer:

450$

Step-by-step explanation:

help ASAP please hmmmm ​

Answers

Answer:

It has to be D.

Write the following equation in slope-intercept form.
3 x- 2 y=5

y= 3/2 x - 5/2
y= -3/2 x -5/2
y= -3/2 x + 5/2​

Answers

Answer:

A)

Step-by-step explanation:

3x-2y=5

2y=3x-5

y=3/2x-5/2

y = 3/2x + -5/2

hope this helps!

Choose the angle which is represented by the name.

R

Answers

Answer:

Option B

Step-by-step explanation:

Angles can be named by only the middle point's name. Option B would be correct in this case, because the point in the center of the angle is point R.


Pls explain how to solve it!!

Answers

Step-by-step explanation:

honestly kinda stumped so ima give you the best copy and pasted answer ever

A:

Isolate the variable by dividing each side by factors that don't contain the variable. y = x/3 − 4/3

and also x=7 y=1

HOPE I HELPED, SORRY IF I GOT IT WRONG <3

Job bakes 48 cupcakes and 60 cookies. What is the biggest number of cupcakes and cookies that can be placed in boxes if these are of the same number? 

pls answer it i really need it now
bonus big pts
if nonsense I'll report you​

Answers

Answer:

12

Step-by-step explanation:

You need the GCF of 48 and 60

48 = 2 x 2 x 2 x 2 x 3

60 = 2 x 2 x 3 x 5

Both have 2 x 2 x 3, so the answer is 12

what is 18 1/5 -7 3/5 as a mixed number in simplest form

Answers

Answer:

53/5

Step-by-step explanation:

I hope this helps u.

Mark me as brainliest.

Solve the system of equations by graphing.
y = 3x - 2
x + y = 6

Answers

x+3x-2=6
4x-2=6
4x+8
x=2

Hope this helps

an auto dealership got a new shipment of 33 cars. Of these, two are red , 6-cylinder 4 door sedans; one is a red 4-door, but not a 6-cylinder sedan. There are four 6-cylinder 4-door sedans that are not red, and three red 6-cylinder sedans that are not 4-door sedans. Altogether, 19 of the 33 cars are 6-cylinder sedans and 12 of the 33 are 4-door sedans. How many of the 33 cars are red but neither 6-cylinder nor 4-door sedans?

Answers

Answer:

2

Step-by-step explanation:

If you take 19 6-cylinder sedans and add 12 4-door sedans you get 31, therefore making 2 red and neither 6-cylinder nor 4-door sedans. Hope this helps!

Could someone please help me

Answers

The answer should be (x1,y1) =(-2,5) and then (x2,y2)=(-1,4)

8. What is the slope of the line that goes through (8,8) and (4, 6)?
-1/2
1/2
-2
2

Answers

Answer:

Step-by-step explanation:

Slope is the change in y over the change in x.

m = (8 - 6) / (8 - 4) = 2/4 = 1/2

Answer:

1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-8)/(4-8)

m=-2/-4

m=1/2

guys please (number 3)

Answers

Answer:

500 < c < 1,700

Step-by-step explanation:

What is the name of this?

Answers

Answer:

Circumference of a circle

2* pi* radius which is the circumference of the circle

Find a and b. А E b B 409 с D​

Answers

Answer:

a = 70°, b = 140°

Step-by-step explanation:

use alternate interior angles

The interior angles of a straight line are 180°

a = 180°-110° = 70°

b = 180°-40° = 140°

//I'm sorry, but I'm not very fluent in English.

Multiplied by 3/4 and then divided by 3/5 is the same as dividing by what?


Please explain step by step

Answers

We have:  x ×  [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{3}{5}[/tex] = x ×  [tex]\frac{3}{4}[/tex]  ×  [tex]\frac{5}{3}[/tex] =  x × [tex]\frac{5}{4}[/tex] = x ÷ [tex]\frac{4}{5}[/tex]

ANSWER:  E. 4/5

Ok done. Thank to me :>

l= prt is an example of.

Answers

Answer:

intrest=principle*rate* time

Step-by-step explanation:

Base formula, written as I = Prt or I = P × r × t where rate r and time t should be in the same time units such as months or years. Time conversions that are based on day count of 365 days/year have 30.4167 days/month and 91.2501 days/quarter.

It is 8 a.m. and the animals are waking up. In exactly 5 minutes. Sarah will chirp. Sarah will then chirp every 5 minutes until 10 a.m.! To make matters worse, in exactly 13 minutes, Alex will chirp. Alex will then chirp every 13 minutes until 10 a.m.! How many times will both of them be making noise at exactly the same time? Explain how you solved it

Answers

Answer:

Once.

Step-by-step explanation:

To find when they chirp together, we must find the LCM of the two numbers. The LCM, or least common multiple of 13 and 5 is 65. Therefore, after 65 minutes is the first time they chirp together. Then we can multiply 65 by 2 to see if they chirp a second time. 65x2 is 130, but 8AM-10AM is only 120 minutes, therefore they do not chirp together more than 1 time.

what the top guy said was right

hoped that helped:P

Please help me Find the slope please no links or bots please and thank you please actually help me please

Answers

I got C

To find slope, you have to use Rise over run
For this example, you would go down One and Run 2 so it’s -1/2
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