3n + 14= --4 What is the answer

Answer:

59

Step-by-step explanation:

If a number is divided by [tex]n[/tex] and leaves a remainder [tex](n-1)[/tex], then the number [tex](n+1)[/tex] will be completely divisible by [tex]n[/tex].

Therefore, when we say a number [tex]x[/tex], when divided by 6, it leaves a remainder 5, then ([tex]x+1[/tex]) will be a multiple of 6.

When we say a number [tex]x[/tex], when divided by 5, it leaves a remainder 4, then ([tex]x+1[/tex]) will be a multiple of 5.

When we say a number [tex]x[/tex], when divided by 4, it leaves a remainder 3, then ([tex]x+1[/tex]) will be a multiple of 4.

When we say a number [tex]x[/tex], when divided by 3, it leaves a remainder 2, then ([tex]x+1[/tex]) will be a multiple of 3.

So, [tex]x+1[/tex] is a common multiple of 3, 4, 5 and 6.

Taking LCM of 3, 4, 5 and 6, we get 60.

So, the number 60 - 1 = 59 is the least such number.

Answer:

how do u know how many extraneous solutions there is?

Step-by-step explanation:

To find whether your solutions are extraneous or not, you need to plug each of them back in to your given equation and see if they work. It's a very annoying process sometimes, but if employed properly can save you much grief on tests or quizzes.

Answer: To find whether your solutions are extraneous or not, you need to plug each of them back in to your given equation and see if they work. It's a very annoying process sometimes, but if employed properly can save you much grief on tests or quizzes

Step-by-step explanation:

Please can I have brainliest I need one more to rank up

Answer:

19. x=2

20. y= - 72

21. y=4

22.x= - 1

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

p=42 and p+22=?

Substitute:

(42)+22=?

Add:

(42)+22=64

Answer:

♡ hi there, madi here! ♡

hope your having a great day.

I did the math so here's your answer.

2x−3)(x−3)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

2x-3=0.   x-3=0

Set the first factor equal to 0 and solve.

x=3/2

Set the next factor equal to 0 and solve.

x=3

Therefore, the final solution is all the values that make (2x-3) (x-3)=0 true. x=3/2,3♡

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧

Given:

The midpoint of segment AB has the coordinates M(-4,2).

The coordinates of endpoint A are (-6, -7).

To find:

The coordinates of B.

Solution:

Let the coordinates of point B are (a,b).

Formula for midpoint:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

The midpoint of segment AB has the coordinates M(-4,2), so by using the above formula we get

[tex]M=\left(\dfrac{-6+a}{2},\dfrac{-7+b}{2}\right)[/tex]

[tex](-4,2)=\left(\dfrac{-6+a}{2},\dfrac{-7+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{-6+a}{2}=-4[/tex]

[tex]-6+a=-8[/tex]

[tex]a=-8+6[/tex]

[tex]a=-2[/tex]

And,

[tex]\dfrac{-7+b}{2}=2[/tex]

[tex]-7+b=4[/tex]

[tex]b=4+7[/tex]

[tex]b=11[/tex]

Therefore, the coordinates of point B are (-2,11).

Answer:

The volume of the cylinder is 900 cubic inches

Step-by-step explanation:

Given

Let V1 represent the volume of a cone and V2 represents the volume of a cylinder

[tex]V_1 = 300in^3[/tex]

Required

Determine the volume of a cylinder with same dimension

The volume of a cone is calculated as:

[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]

The volume of a cylinder is calculated as:

[tex]V_2 = \pi r^2h[/tex]

Since, the cone and cylinder have the same dimensions, we can substitute [tex]\pi r^2h[/tex] for [tex]V_2[/tex] in [tex]V_1 = \frac{1}{3}\pi r^2h[/tex]

So, we have:

[tex]V_1 = \frac{1}{3} * V_2[/tex]

Multiply both sides by 3

[tex]3 * V_1 = \frac{1}{3} * V_2 * 3[/tex]

[tex]3 * V_1 = V_2[/tex]

[tex]V_2 = 3 * V_1[/tex]

Substitute [tex]300in^3[/tex] for [tex]V_1[/tex]

[tex]V_2 = 3 * 300in^3[/tex]

[tex]V_2 = 900in^3[/tex]

Hence, the volume of the cylinder is 900 cubic inches

Answer:

2x + y = 20 .     y=3x

2x + 3x = 20

5x = 20

x/5 = 20/5

x = 4

(4,0)

Answer: 115 degrees

Step-by-step explanation:

Give me the brainliest plz!

Answer:

X =51 is the best answer for this question

Answer:

i need help

Step-by-step explanation:

I dont understand

Answer:

the answer is A

Step-by-step explanation:

igot a 100

Answer:

D

Step-by-step explanation:

Answer:

Charlene got £50

Danielle got £75

Step-by-step explanation:

Let Charlene get x

this means that Danielle will get x + 25

The ratio is thus;

x/x + 25 = 2/3

3x = 2(x + 25)

3x = 2x + 50

3x-2x = 50

x = £50

Charlene got this

The amount Danielle got will be

50 + 25 = £75

Answer:

[tex]T_{2} = 200[/tex]

Step-by-step explanation:

Given

Geometry Progression

[tex]T_1 = 500[/tex]

[tex]T_4 = 32[/tex]

Required

Calculate the second term

First, we need to write out the formula to calculate the nth term of a GP

[tex]T_n = ar^{n-1}[/tex]

For first term: Tn = 500 and n = 1

[tex]500 = ar^{1-1}[/tex]

[tex]500 = ar^{0}[/tex]

[tex]500 = a[/tex]

[tex]a = 500[/tex]

For fought term: Tn = 32 and n = 4

[tex]32 = ar^{4-1}[/tex]

[tex]32 = ar^3[/tex]

Substitute 500 for a

[tex]32 = 500 * r^3[/tex]

Make r^3 the subject

[tex]r^3 = \frac{32}{500}[/tex]

[tex]r^3 = 0.064[/tex]

Take cube roots

[tex]\sqrt[3]{r^3} = \sqrt[3]{0.064}[/tex]

[tex]r = \sqrt[3]{0.064}[/tex]

[tex]r = 0.4[/tex]

Using:  [tex]T_n = ar^{n-1}[/tex]

[tex]n = 2[/tex]     [tex]r = 0.4[/tex]     and [tex]a = 500[/tex]

[tex]T_{2} = 500 * 0.4^{2-1}[/tex]

[tex]T_{2} = 500 * 0.4^1[/tex]

[tex]T_{2} = 500 * 0.4[/tex]

[tex]T_{2} = 200[/tex]

Hence, the second term is 200

Answer:

The company can expect to pay out $45,000 over the year after the policies were written.

Step-by-step explanation:

This can be determined as follows:

The probability that a person will die at age 20 = 0.0015

Revenue from 100 policies = 100 * $75,000 = $7,500,000

Revenue from 500 policies = 500 * $25,000 = $12,500,000

Revenue from 1000 policies = 1000 * $10,000 = $10,000,000

Total revenue from all policies = Revenue from 100 policies + Revenue from 500 policies + Revenue from 1000 policies = $7,500,000 + $12,500,000 + $10,000,000 = $30,000,000

Expected amount to pay out during the year the policies were written = Total revenue from all policies * The probability that a person will die at age 20 = $30,000,000 * 0.0015 = $45,000

Therefore, the company can expect to pay out $45,000 over the year after the policies were written.

Answer: 5 days

Step-by-step explanation:

5*7=35 - means the total amount of the days to complete the job by 1 worker is 35 days

So 7 workers can do this job in

35:7=5 days

Answer:

Rotha

Step-by-step explanation:

20 divided by 10 is 2

30 divided by 12 is 2.5

So Rotha is quicker

42 ounces is equivalent to 2.625 pounds.

To convert 42 ounces to pounds, we divide by the conversion factor of 16 ounces per pound, since there are 16 ounces in a pound:

= 42 ounces / 16 ounces per pound

= 2.625 pounds

Now, to express 2.625 pounds in simplest form.

Since it is in decimal form, so we don't need to simplify it further.

Therefore, 42 ounces is equivalent to 2.625 pounds.

Learn more about Unit Conversion here:

https://brainly.com/question/28600662

#SPJ6

Answer:

okay thank you. ummmm yes well it's not loading

Step-by-step explanation:

y=p²+qr

y-qr=p²

p=√y-qr

now, is it fine..

Answer:

Answer: C or j(x) = (-x + 4)^1/2

Step-by-step explanation:

Got it right on the test

Answer:

On dogwood $45,000 was invested

On red maple tree , $10,000 would be invested

Step-by-step explanation:

Let the amount invested on dogwood tree be d and the amount invested on red maple be r

Total is 55,000

Thus;

d + r = 55,000 ••••••(i)

Total profit is;

20/100 * 55,000 = 11,000

Profit on dogwood is;

29/100 * d = 0.29d

Profit on red maple is;

18/100 * r = 0.18r

Both equals 11,000

0.29d + 0.18r = 11,000 •••••••(ii)

From equation i, d = 55,000 - r

substitute into ii

0.29(55,000-r) + 0.18r = 11,000

15950- 0.29r + 0.18r = 11,000

4950 = 0.11r

r = 4950/0.11

r = 45,000

d = 55,000 - r

d = 55,000 - 45,000

d = 10,000

Answer:

interest

Step-by-step explanation:

Answer:

so there is 8 slice left

Step-by-step explanation:

Answer:

$75.60

Step-by-step explanation:

First, find the total cost without tax:

42 + 28

= 70

Then, to find the price with sales tax, multiply this by 1.08:

70(1.08)

= 75.6

So, the total cost of her purchases was $75.60

Answer: AEC = 80

              X=30

YW ;)

Answer:

$1.30

Step-by-step explanation:

91/14/5

Answer:

[tex] (3p + 2) (1 - c)(1 + c + {c}^{2} )[/tex]

Step-by-step explanation:

[tex]3p- 2c^3- 3c^3p +2 \\ \\ = (3p - 3 {c}^{3} p) +( 2 - 2c^3) \\ \\ = 3p(1 - c^3) + 2(1 - c^3) \\ \\ = (1 - c^3)(3p + 2) \\ \\ = (1 - c)(1 + c + {c}^{2} )(3p + 2) \\ \\ = \bold{ \red{(3p + 2) (1 - c)(1 + c + {c}^{2} )}}[/tex]