Three friends decide to share the cost to rent an apartment equally. The apartments that they are considering cost at least 1 200 per month. Write and solve an inequality to represent each person's share of the rental cost​

Answers

Answer 1
each persons share of rental will cost at least 400$ per month!!
Answer 2

Three friends decide to share the cost to rent an apartment equally. The apartments that they are considering cost at least 1 200 per month. Write and solve an inequality to represent each person's share of the rental cost​

Lets highlight some key words.

There are three friends and they equally have to share an unknown amount of number to earn up to the 1200 per month,

X=Amount needed to pay the rent fee.

Since there are 3 friends and they have to split we have to multiply,

3x, "At least" is less than or equal to so .

3x [tex]\leq[/tex]

Additionally theres 1200 per month so the friends need to share there rent and 1200 is the total it should be put as

3x [tex]\leq[/tex] $1200

To add up to the rent, and to solve the inequality

we have to do the opposite of multiplication, and divide.

1200/3 = 400, x [tex]\leq[/tex] 400


Related Questions

mary was told that a line goes through points (1,3) and (6, -2) and has a slope of 3 explain why the informatio mary was given cannot be correct

Answers

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{1}}}\implies \cfrac{-5}{5}\implies -1[/tex]

What is the value of the function when x=5 f(x) = x-5

Answers

Answer:

When x=5, f(x)=0

Step-by-step explanation:

[tex]f(x)=x-5\\\\f(5)=5-5\\\\f(5)=0[/tex]

Therefore, when x=5, f(x)=0

Answer:

f(x) = 0

Step-by-step explanation:

given that x =  5

f(x) = x - 5 .......replace x with 5

→ 5 - 5

→ 0

What value of x satisfies this equation?
log2 (6x – 8) – log, 2^8=1
The value of x is?

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]log_2(6x-8)-log_2(8)=1\\\\log_2(\frac{6x-8}{8})=1\\ \\\frac{6x-8}{8}=2\\ \\6x-8=16\\\\6x=24\\\\x=4[/tex]

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
How do the graphs of y = 1 and y=5/x+6 compare ​

Answers

Both meet at the point (-1 , 1)

Substitute the value of y = 1 in y = 5/x + 6
1 = 5/x + 6

Move 5/x to the left side
1 - 5/x = 6

Move the constant (1) to the right side
- 5/x = 6 - 1

- 5/x = 5

Divide both sides by -5

X= - 1 (possible solution)
Plug (-1, 1) in the equation to confirm



Antonio earned $25 on Thursday and $65 on Saturday. On Sunday he gave 10% of
the money in the offering at church. How much did he give?

Answers

Answer:

$9

Step-by-step explanation:

Total money Antonio has on Sunday =25 + 65=90

Now,10%of 90=9

So he gave $9 to church

What is the value of this expression?
2.3· 23.623

Answers

Answer: 54.3329

Step-by-step explanation:

Find the quotient. (6 1/2 ÷ 3 2/3) ....1 17/22 23 5/6 21/3 2 3/4

Answers

Answer:

1 17/22

Step-by-step explanation:

what is the median and mode of 28,34,34,50,54 answer=

Answers

Answer:

Mean (Average):40

Median (Middle): 34

Mode (Most Common):34

Step-by-step explanation:

Is this all the numbers

In the past year Manuel watched 64 movies that he thought were very good. He watched 80 movies over the whole year. Of the movies he watched, what percentage did he rate as very good?

Answers

Answer:

80%

Step-by-step explanation:
64/80 is 0.8, 0.8 is equivalent to 80%

tell me if this is wrong please

find the value of x in the figure.

Answers

Answer:

50°

Step-by-step explanation:

The blue lines form a Right-angled triangle.

*Such triangles have one angle equal to 90°.*

*Property*

Sum of all angles in a triangle = 180°

To find :

Value of x – an angle of the right-angled triangle.

Solution:

==> 90 + 40 + x = 180

==> 130 + x = 180

isolating x

==> x = 180 - 130

==> x = 50°

Add the product of ⅘and 6 to the quotient of 4/45÷4/5.

Answers

Answer:4/45÷4/5.

Solving-0.1,3-2
Answer-1/9

Step-by-step explanation:

Find the equation function represented by the table below: 0 1 1 3 2 9 3 27

Answers

Answer:

0-11+3u have to exp

Step-by-step explanation:

so whene the disiredble answer

Write an inequality that describes all the points that are more than 3 units from 5.

Answers

x>8 and x<2 are the two possible inequalities of |x - 5| > 3

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Let x be the number

|x - 5| > 3

Now solve for x.

Suppose x - 5 is positive.  Then

x - 5 > 3

x > 8

Suppose x - 5 is negative.  Then |x - 5| = -(x - 5) = 5 - x

5-x>3

5-3>x

2>x

x<2

Hence, x>8 and x<2 are the two possible inequalities of |x - 5| > 3

To learn more on Inequality click:

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I need help on doing this i don't really know how to do it. can someone help me?
also an explination

Answers

Step-by-step explanation:

x is the hypotenuse of the triangle.

to find x:

the sum of the square of the other two sides. ( a^2 + b^2 = x^2)

[tex] {x}^{2} = {21}^{2} + {20}^{2} \\ {x}^{2} = 841 \\ \sqrt{ {x}^{2} } = \sqrt{841} \\ x = 29 \: yd[/tex]

Write 6.38 times 10 to the power of -5 as a ordinary number

Answers

Answer:

0.0000638

Step-by-step explanation:

all you need to do is move the decimal point over 5 times but this will only work if your multiply by 10 and that it has a negative exponent

The number 6.38×10⁻⁵ written in ordinary form is 1/638000.

What is scientific notation?

In scientific notations numbers are written in the form of a base that is

0  ≤ b < 10 and multiplied by 10ⁿ where n represents integers.

We write large standard numbers in scientific form in a compact manner.

Given, A number in scientific form as 6.38×10⁻⁵.

Now, We know an exponent must be written as a positive value.

Therefore,

6.38×10⁻⁵.

= 1/ 6.38×10⁵.

Now, The ordinary form of the number is when we write without the exponent.

So,

1/ 6.38×10⁵ is,

= 1/638000.

learn more about scientific notation here :

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X+2 is a factor of x^3- kx^2 +3x+7k. Find the value of k.

Answers

Answer:  k = 14/3

Explanation:

If x+2 is a factor of the other polynomial mentioned, then x = -2 is a root of that polynomial.

This means plugging x = -2 into the cubic expression will have it result in zero.

x^3- kx^2 +3x+7k = y

(-2)^3- k*(-2)^2 +3*(-2)+7k = 0

-8 - 4k - 6 + 7k = 0

3k - 14 = 0

3k = 14

k = 14/3

x – y = 5
3x – 2y = 12
Please help will give 20 points

Answers

Answer:

[tex]{x,y} = {2,-3}[/tex]

Step-by-step explanation:

[tex]x - y = 5 \\\\[2] 3x - 2y = 12[/tex]    <----------- Linear equations given

Graphic Representation of the Equations: PICTURE

[tex]y + x = 5 \\-2y + 3x = 12[/tex]
Solve by Substitution :

// Solve equation [1] for the variable  [tex]x[/tex]

[tex][1] x = y + 5[/tex]

// Plug this in for variable  [tex]x[/tex]  in equation[tex][2][/tex]

[tex][2] 3*(y +5) - 2y = 12 \\ [2] y = -3[/tex]

// Solve equation [tex][2][/tex] for the variable [tex]y[/tex]

[tex][2] y = - 3[/tex]

// By now we know this much :

[tex]x = y+5 \\ y = -3[/tex]

// Use the  y  value to solve for  [tex]x[/tex]

[tex]x = (-3)+5 = 2[/tex]

Solution :

[tex]{x,y} = {2,-3}[/tex]

Find the lower and upper bound for:
50 kg
measured
to the nearest
10 kg

Answers

LB - 55kg
UB - 65kg
55 ≤ x < 65

Give that helps :)

Please answer asap will give brainiest

Teams A and B are playing a series of games. The series is over as soon as a team
wins a total of three games. Team A is two times more likely to win a game than Team
B. A draw in a game is impossible. What is the probability that Team A wins the
series?

Answers

Answer:

79% - almost 4 times out of 5.

The key to this is realizing that the number of games will not always be 5.

If A wins in a sweep - you have 2/3*(2/3)*2/3 percent chance of that happening - 8/27, or 29.63%

If A wins in 4, now we have 2/3*(2/3)*2/3*(1/3)*3 - the 1/3 is the chance that B wins a game. Note - there are only 3 ways B can win a game, not 4. B cannot win Game 4 because Game 4 would not be played in case of a sweep. That is why you cannot use a straight Pascal’s triangle to get your coefficients - the 1–4–6–4–1 is not possible if B cannot win Game 4. Anyway, the math is the same as the above, a 29.63% chance of A winning in 4.

For a 5 game set, A could lose 2 games in 6 possible ways (lose 1&2, 1&3, 1&4, 2&3, 2&4 or 3&4). Again, A cannot lose Game 5 - it would not be played once A wins 3 games. So the odds become 2/3*(2/3)*2/3*(1/3)*(1/3)*6, or 19.75%.

Add them up and you get 79.01%

Step-by-step explanation:

Hope it helps<3

What are 3 ways to write x^3/2 ?

Answers

[tex]\displaystyle\\x^\frac{3}{2} =>\\\sqrt{x^3} ;x\sqrt{x} ;x\times x^\frac{1}{2}[/tex]

think it's right. i don't now(or remember) any other ways


Which shows the best way to estimate 553 ÷ 22?

Answers

Answer:

How many 22s can go in 553

Step-by-step explanation:

Please mark me as brainliest

Convert the fraction 4/5 to a decimal.
SHOW WORKING.

Answers

Answer:

The answer is 0.8

Step-by-step explanation:

[tex] \: \: \: \: \: \: 0. 8\\ 5 \sqrt{40} \\ - 40 \\ 0[/tex]

Thus, The answer is 0.8

-TheUnknownScientist 72

please help will give brainliest

Answers

Answer:

Step-by-step explanation:

j) (2g+9h-5)-(6g-4h+2); g=-2 ; h=5

(2*(-2)+9*5-5)-(6*(-2)-4*5+2)

(-4+45-5)-(-12-20+2)

36-(-32+2)

36-(-30)

36+30

66

evaluate the expression 5(m-2) + 10w when m = 8.4 and w= 1.25

Answers

Hey there!

5(m - 2) + 2w

= 5(8.4 - 2) + 10(1.25)

= 5(8.4) + 5(-2) + 10(1.25)

= 42 - 10 + 10(1.25)

= 32 + 12.50

≈ 32 + 12.5

= 44.50

≈ 44.5


Thus, your answer is: 44.5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Please help due today

Answers

It is a linear pair of angles hence supplementary

[tex]\\ \tt\hookrightarrow 123+3x=180[/tex]

[tex]\\ \tt\hookrightarrow 3x=180-123[/tex]

[tex]\\ \tt\hookrightarrow 3x=57[/tex]

[tex]\\ \tt\hookrightarrow x=19[/tex]

Explanation:

The angles shown is supplementary because the sum of 123 and 3x is 180.

Thus, the equation formed:

123 + 3x = 180°

Subtract 123 both sides:

123 + 3x = 180°=> 123 - 123 + 3x = 180 - 123=> 3x = 57

Divide 3 both sides:

=> x = 57/3 = 19

The value of x is 19.

Help, I don’t understand

Answers

Answer: -1

Step-by-step explanation: f(x) is another way of saying y. So when y is 3, according to the table, x is -1

A student randomly selected animal crackers from a large box of animal crackers. Below is the number of each animal the student selected. If the student were to select one animal cracker from the box, what is the probability of selecting a lion?

Answers

Answer:

if i knew the answer i would say it but i need it to

Step-by-step explanation:

Find the perimeter of the rectangle, in yards.

Answers

The perimeter of the rectangle in yards is; 46 1/3 yards

Perimeter of a Rectangle

The perimeter of a rectangle is the sum of the lengths of all its sides as follows;

Width = 10 1/3Length = 12 5/6

Perimeter of a rectangle = 2(width + length

P = 2(10 1/3 + 12 5/6)

P = 2(31/3 + 77/6)

P = 2(139/6)

P = 46 1/3 yards.

Therefore, the perimeter of the rectangle in yards is 46 1/3 yards

Read more on perimeter of a rectangle;

https://brainly.com/question/19819849

Answer:

The perimeter of the rectangle in yards is; 46 1/3 yards

Perimeter of a Rectangle

The perimeter of a rectangle is the sum of the lengths of all its sides as follows;

Width = 10 1/3

Length = 12 5/6

Perimeter of a rectangle = 2(width + length

P = 2(10 1/3 + 12 5/6)

P = 2(31/3 + 77/6)

P = 2(139/6)

P = 46 1/3 yards.

Therefore, the perimeter of the rectangle in yards is 46 1/3 yards

Read more on perimeter of a rectangle;

brainly.com/question/19819849

Step-by-step explanation:

What is the explicit formula for the sequence: 32, 48, 72, 108,..

Answers

48/32=3/2r=3/2a=32

Verify with next one

48(3/2)=72

Verified

formula

[tex]\\ \tt\hookrightarrow a_n=ar^{n-1}[/tex]

[tex]\\ \tt\hookrightarrow a_n=32(3/2)^{n-1}[/tex]

Answer:

[tex]a_n=32 \cdot \left(\dfrac32 \right)^{n-1}[/tex]

Step-by-step explanation:

The difference between each term in the sequence is not the same, therefore the sequence is a geometric sequence.

Geometric sequence formula:  [tex]a_n=a r^{n-1}[/tex]

where [tex]a[/tex] is the start term and [tex]r[/tex] is the common ratio

Given [tex]a = 32[/tex]

To calculate [tex]r[/tex], divide one term by its previous term:

[tex]\implies r=\dfrac{a_4}{a_3}=\dfrac{108}{72}=\dfrac32[/tex]

Therefore, [tex]a_n=32 \cdot \left(\dfrac32 \right)^{n-1}[/tex]

help me please i dont get it :(

Answers

Answer:

d

Step-by-step explanation:

the square root of 121 is 11

the square root of 64 is 8

soooo

(11x+8y)(11x-8y) makes the most sense

Answer:

D. (11x + 8y) (11x - 8y)

Step-by-step explanation:

Step 1: Rewrite 121x² - 64y² as (11x)² - (8y)²

Step 2: The difference of squares can be factored using the rule:

a² - b² = (a - b) (a + b)

(11x - 8y) (11x + 8y)

or

you can write it as

(11x + 8y) (11x - 8y)

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