You are helping your older sibling look for an apartment. There are 2 final choices. Apartment A is $1200 per month and requires a security deposit of $1000. Apartment B is $1175 per month and requires a security deposit of $1500. How many months will it be before the costs are the same?

Step-by-step explanation:

Let's turn that into a linear system:

\{ {{y=0.05x+20} \atop {y=0.25x+10}} .{y=0.25x+10y=0.05x+20.

Set the equations equal to each other and solve:

0.05x+20=0.25x+100.05x+20=0.25x+10

0.2x=100.2x=10

x=50x=50

We then plug in to get yy :

0.25(50)+10=22.50.25(50)+10=22.5

The solution to the system is \{ {{x=50} \atop {y=22.5}} .{y=22.5x=50. .

Now, let's turn our attention to the statements.

The first one is false: Emilia's rate is higher, and the two plans cost the same at 50 texts, after which point Hiroto's plan becomes cheaper!

The second one is also false: we already figured out that the lines intersect at x=50x=50 .

The third statement is also false: as above, the lines intersect at x=50x=50 .

The fourth statement is true: the lines intersect at x=50x=50 .

In conclusion, the fourth statement - "Both plans cost the same when 50 texts are sent" - is true.

Cred to ultroid

Answer:

-7f

Step-by-step explanation:

move -7 to the left of f

Answer:

y=3x+7  I think

hope this helps!

Answer:

[tex]y=3x+7[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex]

[tex]3y=9x+21[/tex]

[tex]\frac{3y}{3}=\frac{9x}{3} +\frac{21}{3}[/tex]

[tex]y=3x+7[/tex]

Answer:

D) 8

Step-by-step explanation:

8 x 2.5 = 20

and the rest is adult haircuts

6 x 5 = 30

Answer:

D) 8 Children’s Haircuts

Step-by-step explanation:

Let a represent the amount of adult haircuts and c represent the amount of child haircuts.

We know that she gave exactly 14 haircuts. So:

[tex]a+c=14[/tex]

We also know that she made $50.00. Therefore, the price of each haircut times their respective amounts will total $50. So:

[tex]5a+2.5c=50[/tex]

This is now a system of equations.

We can solve this using substitution. From the first equation, let’s subtract c from both sides:

[tex]a=14-c[/tex]

Now, we can substitute this into the second equation for a. This yields:

[tex]5(14-c)+2.5c=50[/tex]

Distribute:

[tex]70-5c+2.5c=50[/tex]

Combine Like Terms:

[tex]70-2.5c=50[/tex]

Subtract 70 from both sides:

[tex]-2.5c=-20[/tex]

Divide both sides by -2.5:

[tex]c=8[/tex]

Therefore, Kate gave 8 children’s haircuts.

This means that she gave [tex]14-8=6[/tex] adult haircuts.

So, our answer is D. She gave 8 children’s haircuts.

Answer:

X has infinite solutions because no matter what value you plug in for x, both sides will always be equal.

Step-by-step explanation:

Answer:

y = -9

Step-by-step explanation:

Step 1: Write equation

y + 7 = -2

Step 2: Solve for y

Step 3: Check

Plug in y to verify it's a solution.

Answer:

-45i

Step-by-step explanation:

i is an imaginary number so the answer should be -45i, I hope this helps :)

Answer:

301

Step-by-step explanation:

7x3 + 7x4 and add a 0 on to the end

Answer:

Step-by-step explanation:

i'd say either 29 1/6 or 32.53

Answer:

Jessica bought 2.25 yards more material than Derek.

Step-by-step explanation:

Answer:

what are they equal to I can solve if that info is not given

Answer:

I think you need to multiply to get the answer, since there's a keyword that it's "per"

Step-by-step explanation:

Divide and then Multiply

8/9 = 0,8

0,8 x 8 = 6,4

(I think that's the answer, hope I helped you)

Answer:

Answer:

74.22

Step-by-step explanation:

52.39+21.83=74.22

This is the question in English. In a neighborhood, an ice cream truck passes every 8 days and a food truck passes every two weeks, today both came together, in how many days will they get back together?

Answer / Respuesta:

Spanish:  La respuesta sería 56 días más.

English: The answer would be 56 more days.

Step-by-step explanation: / Explicación paso a paso:

English: The first time they meet would be at 56 days. So it would be 56 more days until they meet again.

Spanish ( Español): La primera vez que se reúnan sería a los 56 días. Así que pasarían 56 días más hasta que se vuelvan a encontrar.

The angles in a triangle add up to 180 degrees, so the third angle must be 180 - 23 - 35 ---> 157 - 35 --> 122.

122 degrees.

Hope this helps!

The measure of the third angle is 122° and the triangle is an obtuse angle triangle.

A triangle is a 2D figure joined by the lines of three non-colinear points.

There are three types of triangles they are:- Equilateral triangle, Isosceles triangle, and Scalene triangle.

We know that sum of all the interior angles of a triangle is 180°.

Given two angles which measure 23° and 35° and assuming the third angle to be x°.

∴ 23° + 35° + x° = 180°.

58° + x° = 180°.

x = 180° - 58°.

x = 122°.

We can conclude that the triangle is an obtuse angle triangle.

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Answer: 5

Step-by-step explanation:

I got it right on the test.

The slope of the function is 5.

The correct option is C.

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 can take two points from the table as (-4, -16) and (-2, -6).

So, slope of the function is

= (-6 - (-16))/ (-2 - (-4))

= (-6 + 16)/ (-2 +4)

= 10 /2

= 5

Thus, the required slope is 5.

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Answer:

x < -3

Step-by-step explanation:

-3x + 5 > 14

Subtract both sides by 5

-3x > 9

Divide both sides by -3 to get x alone.

x < -3      

The sign flips because you are dividing by a negative number. The sign flips when you divide or multiply by a negative number.

Answer:

A

Step-by-step explanation:

Originally, Mei pays $24 for 12 issues.

Therefore, the cost per issue is:

[tex]c=\frac{\$24}{12\text{ issue}}=\$2\text{ per issue}[/tex]

With the coupon, Mei pays the same amount of $24 but for 15 issues.

So, the cost per issue now is:

[tex]c=\frac{\$24}{15\text{ issues}}=\$1.60\text{ per issue}[/tex]

Therefore, the coupon lowered the price of the issue by $0.40.

Our answer is A.

Answer: The coupon lowered the cost per issue by $0.40.

Original price of issue: $2

24 ÷ 12 = 2

Mei added 3 more issues, but she still pays $24.

The answer is A.

Hope this helps you!

The annually premium for health insurance will be $2,451.12.

Option A is true.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The health insurance premium is $102.13 each check.

And, We get paid semi-monthly.

Hence, Monthly premium = 2 x $102.13

                                        = $204.26

Since, 1 year = 12 months

Thus, The annually premium = 12 x $204.26

                                            = $2,451.12

So, The annually premium for health insurance will be $2,451.12.

Learn more about the multiplication visit:

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Answer:

84.2105263 % decrease

Step-by-step explanation:

Take the original and subtract the new

95-15 = 80

Divide by the original

80/95

.842105263

Change to percent form

84.2105263 % decrease

Answer:

-5.1

Step-by-step explanation:

x + 5.1 = 0

   - 5.1   -5.1

 x + 0  =  -5.1

x = -5.1

The value of x is -5.1

Given,

x + 5.1 = 0

We need to find the value of x.

We always keep the required variable on one side and keep all the other variables on the other side of the equation.

Example:

x + b + n = 2 + 2x

We need to find x.

Since we have two x terms

We will keep both the terms on one side.

b+ n - 2 = 2x - x

2x - x = b + n -2

x = b + n - 2 is our x value.

We have,

x + 5.1 = 0

Subtracting 5.2 on both sides.

x + 5.1 - 5.1 = 0 - 5.1

x = - 5.1

Thus the value of x is -5.1

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Answer:

3/2 = 1 1/2

Step-by-step explanation:

3/4 * 2

Make 2 a fraction

3/4 * 2/1

Rewrite

3/1 * 2/4

3/1 * 1/2

Multiply

(3*1)/(2*1/)

3/2

Changing from a fraction to a mixed number

1 1/2

Answer:

x=17/14

Step-by-step explanation:

(7/9)x+2=(5/6)

18 is the least common multiple between 9 and 6, so we can multiply each fraction by 18.

7           18              126

----   *    ------   =     --------    =     14

9            1                9

14x+2=(5/6)

5            18             90

----     *   ------    =   ---------     =     15

6             1                6

14x+2=15

     +2 +2

14x=17

x=17/14

Hope this helps!

Answer:

this is volume, right?

Step-by-step explanation:

i have no idea though hahahahahah

frjghherhnetjhnjkg fgfhgheriugheriughierg

renjgregnjergjerbgg rehgbjregbjergjerbgj

Answer:

the slope of the line is 0

the y-int is -5

there is no x int since the is no slope

sorry about the last one, i forgot what the zero is

Answer:

[tex]a =\frac{m+p}{3}[/tex]

Step-by-step explanation:

[tex]3a - p = m[/tex]

→ First plus p to both sides to isolate 3a

[tex]3a = m+p[/tex]

→ Divide both sides by 3 to isolate a

[tex]a =\frac{m+p}{3}[/tex]

Answer:

see explanation

Step-by-step explanation:

Mia is wrong in that she has subtracted p from both sides instead of adding p to both sides.

Given

3a - p = m ( add p to both sides )

3a = m + p ( isolate a by dividing both sides by 3 )

a = [tex]\frac{m+p}{3}[/tex]