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Paladinen [302]
3 years ago
12

I need help please the question is in the picture.

Mathematics
1 answer:
Basile [38]3 years ago
7 0

Answer:

5x+12=42

x=6

Step-by-step explanation:

8+x+x+2+3x+2=42

5x+12=42

5x=42-12

5x=30

x=6

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Carlos drove to the train station and back. The trip there took five hours and the trip back took four hours. What was Carlos' a
katrin2010 [14]

Answer: 54.4 mph

Step-by-step explanation:

First find the distance to the train station. If it took Carlos 4 hours to come back driving at 68 mph, the distance is:

= Speed * time

= 68 * 4

= 272 miles

This means that Carlos drove for 5 hours to cover 272 miles the first time. His average speed was therefore:

= Distance / time

= 272/5

= 54.4 mph

3 0
2 years ago
The graph of a quadratic function has roots at -3 and -7 and a vertex at (-5, 4). What is the equation of the function in vertex
melomori [17]

Answer:

y = -(x + 5)² + 4

Step-by-step explanation:

The roots are -3 and -7, so:

y = a (x + 3) (x + 7)

Distribute and complete the square:

y = a (x² + 10x + 21)

y = a (x² + 10x + 25 − 4)

y = a (x² + 10x + 25) − 4a

y = a (x + 5)² − 4a

The vertex is (-5, 4), so a = -1.

y = -(x + 5)² + 4

3 0
3 years ago
Which expressions are equivalent to -2.5(1-2n) - 1.5n
Keith_Richards [23]

Answer:

-5n - 4


Step-by-step explanation:

The goal is to simplify this expression.


1. Distribute

-2.5 * 1 = -2.5

-2.5 * 2n = -5n


Now, we have

-2.5 - 5n - 1.5


2. Combine like terms

-2.5 + (-1.5) = -4 (+ * - = -   The - cancels out the +)


3. Put it together

-5n - 4


I hope I helped!

Let me know if you need anything else!

~ Zoe



4 0
3 years ago
While calculating the volume does the answer always have to be to the power of 3??
andre [41]

Yes because volume has 3 dimensions, hence the power of 3

7 0
3 years ago
Kamil invests 9000 for 4 years his investment pays compound interest of x% per anumn
elena-s [515]

To get the Total amount upon investment for the compound interest, plug in the value of x into the given expression bellow

<em>A = 9,000.00(1 +  x/100)^(4)</em>

Given data

Principal = $9000

Time = 4 years

Rate = x% per annum

<h3>Solution</h3>
  • Step one:

First, convert R as a percent to r as a decimal

r = x/100

r = x/100

  • Step two:

Then solve the equation for A

A = P(1 + x/100)^t

A = 9,000.00(1 + x/100)^(4)

A = 9,000.00(1 +  x/100)^(4)

  • Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $9,000.00 at a rate of x% per year.

Learn more about compound interest here:

brainly.com/question/24924853

6 0
2 years ago
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