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earnstyle [38]
2 years ago
6

Your parents are renting an apartment for you when you go away to college. An annual contract is $502.00/month with a 2-month pe

nalty if you break the lease. The month-to-month contract is $615.00/month. How much is the difference in payments if you stay the whole year?
Mathematics
1 answer:
Vikentia [17]2 years ago
5 0

Answer:

<em>The month-to-month contract will cost an extra $1356.</em>

Step-by-step explanation:

"An annual contract is $502.00/month with a 2-month penalty if you break the lease."

If you stay the whole year, and you pay $502 per month, you pay 12 * $502 = $6024 for the entire year.

"The month-to-month contract is $615.00/month."

If you stay the entire year, you pay 12 * $615 = $7380.

The difference is $7380 - $6024 = $1356

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Diego's sister is twice his age minus 9 years. She is also as old as half the sum of the ages of Diego and both of his 12-year-o
slava [35]

Answer:

Diego is 14 years old.

Sister is 19

Step-by-step explanation:

x = Diego's age

<u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>4</u>

2x-9 = 2

First to get rid of the fraction we multiply each side by 2

2(2x-9) = 2((x+24)/2)

4x-18 = x+24

The we isolate x

4x-18 = x+24

<u>-x+18 -x+18</u>

<u>3x</u> = <u>42</u> Now we divide each side 3

3 3

x = 14

So Diego is 14

Now we can solve for his sister. We can use one of the two equations from earlier to do this.

Plug 14 in for x and then solve for his sister

2(14)-9

28-9

19

His sister is 19

5 0
2 years ago
Read 2 more answers
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times
rusak2 [61]

Answer:

x=30\\y=68\\z=82

Step-by-step explanation:

x = measure of the first angle

y = measure of the second angle

z = measure of the third angle

The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)

y+z=5x

The third angle is 14 more than the second

z=y+14

And remember that the sum of these three angles must be equal to 180.

x+y+z=180

Let's take these equations

y+z=5x\\z=y+14\\x+y+z=180

If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....

x+y+z=180\\x+(y+z)=180\\x+(5x)=180

Distribute the + sign

x+5x=180

Combine like terms;

6x=180

Divide by 6.

x=\frac{180}{6}\\ x=30

We have now defined that the measure of the first angle is 30º.

Let's take another equation... for example z=y+14

I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.

x+y+z=180\\30+y+(y+14)=180

Distribute the + sign and Combine like terms;

30+y+y+14=180\\44+2y=180\\

Subtract 44 to isolate 2y.

2y=180-44\\2y=136

Now divide by 2.

y=\frac{136}{2}\\ y=68

We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.

x+y+z=180\\30+68+z=180\\98+z=180\\z=180-98\\z=82

5 0
2 years ago
A recipe requires one quarter cup of milk as a base and then, In addition, 1 cup of milk for every 4 cups of flour. Choose a lin
GrogVix [38]

Answer:

Step-by-step explanation:

Where are the choices?

m and f are the cups of milk and flour, respectively.

m = ¼f + 1

3 0
2 years ago
The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 3x + 5 and g(x) = x2. Find g(x) − f(x).
kifflom [539]

Answer:

3x^2 + 8  

Step-by-step explanation:

Given functions,

f(x) = 3x + 8 ----(1)

g(x) = x^2 -----(2)

Since,

(fog)(x) =  f( g(x) )      ( Composition of functions )

=f(x^2)             ( From equation (2) )

=3x^2 + 8          ( From equation (1) )

Hence,

(fog)(x)=3x^2 + 8

Step-by-step explanation:

8 0
2 years ago
A chemistry professor who teaches a large lecture class surveys his students who attend his class about how he can make the clas
Iteru [2.4K]

Answer:

a.

Step-by-step explanation:

I believe it's Voluntary Response Bias

7 0
2 years ago
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