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Setler79 [48]
3 years ago
9

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?
Mathematics
1 answer:
kogti [31]3 years ago
6 0

Answer:

20 months.

Step-by-step explanation:

Let the number of months be represented as x

Apartment A is $1200 per month and requires a security deposit of $1000.

= $1200 × x + $1000

1200x + 1000

Apartment B is $1175 per month and requires a security deposit of $1500.

= $1175 × x +$1500

1175x + 1500

Apartment A = Apartment B

1200x + 1000 = 1175x + 1500

Collect like terms

1200x - 1175x = 1500 - 1000

= 25x = 500

x = 500/25

x = 20

Therefore, the costs for both apartment A and B will be the same after 20 months.

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Write a linear equation that contains the ordered pair shown in the table below:
Amiraneli [1.4K]

Answer:

y=2x-4

Step-by-step explanation:

Let the equation of line is y=mx+b, where m is the slope of the line.

It passes through (-5,-14),(-2,-8)\ and\ (1,-2).

(<em>Slope of the line</em> joining (x_1,y_1)\ and\ (x_2,y_2)=\frac{y_2-y_1}{x_2-x_1})

Hence slope of the given line

m=\frac{-8(-14)}{-2-(-5)}=\frac{-8+14}{-2+5}=\frac{6}{3}=2

Equation of line is: y=2x+b

The line passes through (1,-2)

-2=2\times 1+b\\b=-2-2\\b=-4

Check if (-5,-14) is on the line y=2x-4

L.H.S.=-14\\R.H.S.=2\times (-5)-4=-10-4=-14\\L.H.S.=R.H.S.

Hence line passes through (5,-14).

Check if (-2,-8) is on the line y=2x-4

L.H.S.=-8\\R.H.S.=2\times (-2)-4=-4-4=-8\\L.H.S.=R.H.S.

Hence line passes through (-2,-8).

4 0
2 years ago
What is the length of a hypotenuse of a triangle if each of its legs is 4 units
azamat

Answer:

\boxed{c = 5.7 units}

Step-by-step explanation:

<u><em>Using Pythagorean Theorem:</em></u>

=> c^2 = a^2+b^2

Where c is hypotenuse, a is base and b is perpendicular and ( a, b = 4)

=> c^2 = 4^2+4^2

=> c^2 = 16+16

=> c^2 = 32

Taking sqrt on both sides

=> c = 5.7 units

8 0
2 years ago
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Plot the image of D under a dilation about the origin (0,0) with a scale factor of 2
ElenaW [278]

(-6,-4)

If you dilate a point, (c,d) about (a,b) by a scale factor by k. You'll going to subtract each coordinates where the point will be dilated about (a,b) from the point (c,d) and then multiply them by k. This would be the formula if you want: (k(c -a), k(b -d))

Let's say F is the dilation of D about the origin or (0,0) then the x coordinate of F would be

x =  2( - 3 - 0) \\ x = 2( - 3) \\ x =  - 6

This would be the y coordinate of F:

y = 2( - 2 - 0) \\ y = 2( - 2) \\ y =  - 4

Thus the coordinates of F is (-6,-4)

4 0
3 years ago
Can someone explain how to get to answer B?
sesenic [268]
Yo have to find the distance between point L and point M. First, you have to do the x values. 1 - -3 = 4. Then, you subtract the y values. -2 - 4 = -6. Next, you add the found numbers to the x and y of the midpoint (m). Leaving 1 +4=5 and -2 + -6 = -8.

(5,-8)
7 0
2 years ago
Find x in the proportion x:6= 25:5​
Andrews [41]

Step-by-step explanation:

\frac{x}{6}  =  \frac{25}{5}  \\

\frac{x}{6}  =  \frac{5}{1}  \\

x = 30

5 0
2 years ago
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