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Sonja [21]
2 years ago
9

Marcie parks her car in a parking garage where it costs $3.00 for the first hour and $1.50 for each additional hour. This is rep

resented by the following equation where t = time and p = the cost of parking, in dollars
If Marcie paid $9.00 to park, how many hours was her car in the garage?
Mathematics
1 answer:
Elanso [62]2 years ago
4 0

Answer:

5 hours

Step-by-step explanation:

1 hour    $3.00

2 hour  $1.50

    add   $4.50

3 hour   $1.50

add         $6.00

4 hour     $1.50              

add          $7.50

5 hour      $1.50

add            $9.00

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Two cyclist leave towns 75moles apart at the same time and travel towards each other. One cyclist travels 7 mph faster than the
GaryK [48]

Answer:

Step-by-step explanation:

Givens

d1 = d

d2 = 75 - d

r1 = x

r2 = x + 7

t = 3

Equation

x*t + (x + 7)*t = 75

This equation represents the total distance travelled. Neither one of the cyclists have gone 75 miles, but they both have gone distances that equal a total of 75 miles.

Solution

3x + (x + 7)*3 = 75

3x + 3x + 21 = 75

6x + 21 = 75

6x = 54

6x/6 = 54/6

x = 9

Answer

The first cyclist is going 9 miles / hr

The second cyclist is going 16 miles / hour

5 0
2 years ago
Read 2 more answers
Prove the polynomial identity.
aleksandr82 [10.1K]

Explanation:

Since we have given that

(2x+1)^2-2(2x+1)

Now, we have to prove it as

(2x+1)(2x-1)

Now, start the iterations:

(2x+1)^2-2(2x+1)\\\\=4x^2+1+4x-4x-2\\\\=4x^2+1-2\\\\=4x^2-1\\\\=(2x)^2-1\\\\=(2x+1)(2x-1)

So, first blank will be filled with

4x^2+4x+1

Second blank will be filled with

4x^2-1

Hence proved.

7 0
3 years ago
Helping my 2nd grader with his math homework and came across this. I don't know Common Core but I can find the sum "the old fash
n200080 [17]
427+316 

step one- add 400 and 300=700
step two- take 3 from the 16 and add it to the 27 and add - 27+3+13=43
step three- add 43 and 700

I think that the common core way just adds more steps and makes it more complicated than just adding it regularly, but that's just me.
3 0
3 years ago
Read 2 more answers
Warmup Day 1
olga nikolaevna [1]

Answer:

274

Step-by-step explanation:

(52 + 4) * 5 - 2 + (-4)

56 * 5 - 2 + (-4)

56 * 5 - 2 - 4

280 - 2 - 4

278 - 4

274

6 0
3 years ago
Read 2 more answers
Select all the equations that have the same solution as 2x - 5 = 15
Scilla [17]

Answer:

Step-by-step explanation:

2x - 5 = 15

Bringing like terms on one side

2x = 15 + 5

2x = 20

Option B is the correct answer

3 0
3 years ago
Read 2 more answers
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