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

Lucy works as a tutor for $7 an hour and as a waitress for $12 an hour. This month, she worked a combined total of 86 hours at her two jobs.
Lett be the number of hours Lucy worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.

Answers

Answer:   7t + 12(86-t)

==========================================================

Explanation:

t = number of hours she worked as a tutor86-t = number of hours she worked as a waitress

The two expressions mentioned add to 86, to indicate the total number of hours for both jobs combined.

7t = amount earned as a tutor12(86-t) = amount earned as a waitress

We multiply the number of hours by the wage per hour to get the amount earned per job.

Lastly, we add those two subtotals to get the grand total earned

7t + 12(86-t)

Optionally you can distribute the 12 through and combine like terms. I'll leave it like this because I think it's more descriptive to show the two amounts earned from each job.

If you wanted to simplify 7t+12(86-t), then you would get 1032-5t or -5t+1032

A triangle has an area of 16in^2 and a height of 4in. What is the length of the base?

Answers

Answer:

8 inches

Step-by-step explanation:

The area of a triangle is:

a = 1/2 × b × h

b = length of the baseh = height

We can sub in the values we know:

16in² = 1/2 × b × 4in

To find b, we divide both sides by 1/2 and 4in:

16in² ÷ (1/2 × 4in) = b

16in² ÷ 2in = b

b = 8in

Hope this helps!

8 inches is the answer

Hi Brainly community, it's me again!!

Answers

Answer:

I don't know

Step-by-step explanation:

Because I don't have a protractor and a scaled representation of the image you sent.

Answer:

D.) AFD and EFD

Step-by-step explanation:

supplementary angles equal 180° and this is the only set that produces 180 when added together. the supplementary angle is basically the whole straight line

Help find initial value for graph PLSSSSSS the dotted points are (0,8) and (16,20)

Answers

Answer:8

Step-by-step explanation:

The initial value, or y-intercept, is the output value when the input of a linear function is zero, as you've already pointed out, the function crosses the y- axis at (0,8)

Find the unknown side (w) of the rectangular solid. Please help..

Answers

Answer:

the answer should be 2

Step-by-step explanation:

8×13=104

208÷104=2

Answer:

w = 2

Step-by-step explanation:

V_rectangular prism = l * w * h

208 = 13 * w * 8

208 = 104 * w

w = 208/104

w = 2

-Chetan K

really confused helppppppppp

Answers

Answer:

slope=100

$100 per deposit

Step-by-step explanation:

How do I solve this problem?

Answers

Here is the work! The zeros of the graph are at -1 and 3

Please help me with this

Answers

Answer:

it is -16

Step-by-step explanation:

I did the math i know for sure

please help me asapppp

ty :)

Answers

Answer:

The slope of this parallel line is 3.

Step-by-step explanation:

Parallel lines have the same slope.  The given line y = 3x - 2 has the slope 3.  Therefore the desired parallel line also has the slope 3.  This is all that is necessary to answer this question.

The slope of this parallel line is 3.

0.12 to the nearest tenth

Answers

Answer:

0.1

Step-by-step explanation:

hope this helps

Answer: 0.1 / 0.10

Step-by-step explanation:

since the 2 is lower than 5 - it turns into 0

hope this helped ! :>

HURRY IN TEST!!
Which of the following number lines shows the solution to the inequality given below?

2x − 3 < -9 OR 2x − 3 > 3

Answers

Answer: B.

Steps:

solve the inequalities

x <= -3

x>3

match to number line

answer B

Answer:

#LINE B

Step-by-step explanation:

(make sure to look at the color and direction of the arrow)

Write your own formula. List the first 4 terms and solve for the 10th term using the formula.

Answers

Answer:

Below

Step-by-step explanation:

Formula for an arithmetic sequence is an = 4n - 5

First 4 terms are

-1, 3, 7, 11.

10th term = 4(10) - 5

= 35.

pls help me answer this​

Answers

Step-by-step explanation:

hope it would help you...

what is 72=2x+16x
please please helppppp meeee

Answers

Answer:

x = 4

Step-by-step explanation:

72 = 2x + 16x , that is

72 = 18x ( divide both sides by 18 )

4 = x

Answer:

x=4

Step-by-step explanation:

72=18x

72/18=4

x=4

x+1=x+2 is there a solution

Answers

Answer:

No Solution

Step-by-step explanation:

This is impossible. x+1 is not x+2

Variables are always the same: x=x

Answer:

No their isn't

Step-by-step explanation:

Find the product:
[tex] \frac{1}{8} \times \sqrt{8} [/tex]

Answers

Answer:

≈ 0.35

Step-by-step explanation:

First simplify [tex]\sqrt{8}[/tex] and [tex]\frac{1}{8}[/tex] :

[tex]\sqrt{8}[/tex] ≈ 2.83

[tex]\frac{1}{8}[/tex] = 0.125

Now multiply them as shown in the original equation:

0.125 x 2.83 = 0.35375 ≈ 0.35

Evaluate:
[tex] {8}^{ - \frac{2}{3} } [/tex]
with steps please​

Answers

[tex]8^{-\tfrac 23}\\\\\\=\left(8^{\tfrac 13 }\ \right)^{-2}\\\\\\=\left[\left(2^3\right)^{\tfrac 13} \right]^{-2}\\\\\\=\left(2^{\tfrac 33} \right)^{-2}\\\\\\=2^{-2}\\\\=\dfrac 1{2^2}\\\\\\=\dfrac 14[/tex]

[tex] {8}^{ - \frac{2}{3} } \\ = {2}^{3 \times - \frac{2}{3} } \\ = {2}^{ - 2} \\ = \frac{1}{2^{ 2}} \\ = \frac{1}{4} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Fiona and her sisters grew over the past three months. She records the change in heights of her and her sisters in the table below. Height (in.) Height (in.) Height (in.) Month 1 Month 2 Month 3 Fiona 4 8 12 Alicia 4 5 6 Emilia 5 10 15 Which sister grew at a proportional rate? A.) Fiona only B.) Alicia only C.) Alicia and Emilia D.) Fiona and Emilia​

Answers

Answer:

Open this doc for full answers and steps

Step-by-step explanation:

open the link!

blink.org

6 O
Which function is graphed on the coordinate plane below?
Ty
x
f(x) = 2x - 6
Of(x) = 2x + 6
f(x) = -2x + 6
Mark this and retum
Save and Exit
Next
Submit

Answers

Step-by-step explanation:

we don't see all possible answer options.

but it does not matter.

the line is clearly

y = 2x - 6

why ?

the slope is always the factor of x.

and the slope is defined as ratio of "y coordinate change / x coordinate change".

and we can clearly see, for every change in x by +1, y changes by +2. zu, the slope is 2/1 = 2.

and when x = 0, the graph shows us the y-intercept with y = -6.

hence the above mentioned equation.

The Function is graphed on the coordinate plane is y= 2x- 6.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have points from the graph as (3, 0) and (0, -6).

So, the slope of line is

slope= (-6 -0)/ (0-3)

slope = -6/ (-3)

slope= 2

Now, using the slope intercept form

y= mx + b

y= 2x + b

Now, put x= 3 and y= 0 we get

0= 6 + b

b = -6

So, the required function is

y= 2x - 6.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ7

If b = the number of boys, which algebraic expression represents the phrase
below?
the sum of the number of boys and 15 girls
A. b + 15
B. b. 15
C. b - 15
D.
b
15

Answers

Answer:

A. b + 15

Step-by-step explanation:

b = the number of boys, substitute below:

The sum of the number of boys and 15 girls → The sum of b and 15 → b + 15

Correct choice is A

Jonah uses 1/2 of a cup of vinegar in his salad dressing recipe. How much vinegar would
Jonah use to make 1/2 of a recipe?
Write your answer as a fraction or as a whole or mixed number.
cups

Answers

Answer:

1/4 cup

Step-by-step explanation:

Assuming that the recipe makes 1 cup of dressing, Jonah would need 1/4 cup of vinegar. Half of 1/2 is 1/4.

You want to save at least $180 to buy a new phone. You already have $65 in your account, and you can save $23 a week from your after-school job. Which inequality can be used to find the minimum number of weeks you need to save before you can purchase the phone?

Answers

Answer: 180≤23x+65

Step-by-step explanation:

p = phone

w = weeks

65 + 23w ≥ 180

If you need it to be solved, the minimum number of weeks goes as shown:

65 + 23w ≥ 180

-65              -65

23w ≥ 115

/23       /23

w ≥ 5

So, the minimum number of weeks that is required is 5.

30 POINTS!!! A catfish weights about 0.2 pound and its weight increases by about 15% each week. Write an exponential equation that represents the weight of the catfish after t weeks.

Answers

Answer:

0.30 15 times 2 easy 30 and this percent so 0.30

Step-by-step explanation:

Solve the system of equations

2x - 9y =14

x= -6y + 7

Answers

Answer: x=  

6

7

=1  

6

1

≈1.166666667

y=−  

9

14

=−1  

9

5

≈−1.555555556

Step-by-step explanation:

find an ordered pair that represents the vector from (-3.7, 2) to (-4, -5)


Answers

Answer is (-0.3 ,7) I am sure this answer

WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!

ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!

Answers

Answer:

(1.5,-1)

Step-by-step explanation:

Answer:

(1.5), (-1)

Step-by-step explanation:

Please Help Quickly I Need Help ASAP

Answers

Answer:

the first question is 2,0 and the second answer is 2,5

Step-by-step explanation:

Given the function below, if h(x) = -1, find x.
h(x) = -6 + 20

Answers

Answer:

This problem has been solved! See the answer. Suppose f and g are differentiable functions with the values shown in the table below. For each of the following functions h, find h ' (6). x. f ( x) g ( x) f ' ( x) g ' ( x)v

Step-by-step explanation:

How many twelfths make one whole






How many twelfths make one whole

Answers

Answer:

12

Step-by-step explanation:

1/12x1/x

1x=12x1

x=12

Answer:

12 twelfths make a whole.

Step-by-step explanation:

when the numerator and the denominator of a fraction are the same, they always equal one. 12/12 would simply to one, just like 3/3 or 200/200.

I hope this helps

which of the following are equivalent

Answers

Where’s the question?
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