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drek231 [11]
3 years ago
7

Solve the following equation: x2-5=7

Mathematics
1 answer:
Yuliya22 [10]3 years ago
5 0

Answer:

x= 6

Step-by-step explanation:

Step 1: Write equation

2x - 5 = 7

Step 2: Solve for <em>x</em>

<u>Add 5 to both sides:</u> 2x = 12

<u>Divide both sides by 2:</u> x= 6

<u />

Step 3: Check

<em>Plug in x to verify if it's a solution.</em>

2(6) - 5 = 7

12 - 5 = 7

7 = 7

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A customer requires a car service for 80 miles,
Xelga [282]

Answer:

$25

Step-by-step explanation:

Derive an equation to represent the cost of using each ride.

Sal's Car Rides:

Using 2 pairs of values from the table, (0, 40) and (20, 80), find the slope, m (fee per mile).

m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{80 - 40}{20 - 0} = \frac{40}{20} = 2

The y-intercept, b, is the one-time fee for fuel. This is the value of the cost ($) when number of miles traveled is 0.

Thus, b = 40.

Substitute m = 2, and b = 40 into y = mx + b.

Equation for the total cost for Sal's Car Rides would be:

y = 2x + 40.

Find the total cost to be charged if a customer requires the a car service for 80 miles if he chooses Sal's Car Rides.

Simply substitute x = 80 in y = 2x + 40.

y = 2(80) + 40 = 200

The customer would pay $200.

Ray's Limo:

The equation that represents the total cost (y) to be charged for number of miles (x), given that $2.50 is charged per mile plus a one-time fee of $25 for fuel, would be:

y = 2.5x + 25.

If a customer uses Ray's Limo services for 80 miles, the cost charged would be:

Substitute x = 80 in y = 2.5x + 25.

Thus:

y = 2.5(80) + 25 = 225.

The fee the customer would pay = $225 for using Ray's Limo services.

Therefore, if the customer takes Sal's Car Rides instead of Ray's Limo, he would save, $225 - $200 = $25.

The customer would save $25.

8 0
3 years ago
Expand and simplify <br> 4(2x+3)+ 4(3x+2)
stepladder [879]

Answer:

20x + 20

Step-by-step explanation:

4(2x+3)+ 4(3x+2)

Expand the brackets.

8x + 12 + 12x + 8

Now simplify.

20x + 20

6 0
3 years ago
Iodine-125 has a half-life of about 60 days.
Murljashka [212]

62.5 mg sample will remain after 240 days

Step-by-step explanation:

Given

Half-life = T =  60 days

The formula for calculating the quantity after n half lives is given by:

N = N_0(\frac{1}{2})^n

Here

N is the final amount

N_0 is the initial amount

n is the number of half lives passed

The number of half lives are calculated by dividing the time for which the remaining quantity has to be found by half life

The quantity has to be calculated for 240 days so,

n = \frac{240}{60}\\n = 4

Given

N_0 = 1000\ mg

Putting the values in the formula

N = 1000 (\frac{1}{2})^4\\=1000 * \frac{1}{16}\\=\frac{1000}{16}\\=62.5\ mg

Hence,

62.5 mg sample will remain after 240 days

Keywords: Half-life, sample

Learn more about half-life at:

  • brainly.com/question/11286417
  • brainly.com/question/12973601

#LearnwithBrainly

3 0
3 years ago
Help please i don’t know the answer
son4ous [18]

Answer:

6A=8B=6\left[\begin{array}{ccc}-4&-1&-9\\-9&6&9\\-1&-1&3\end{array}\right] -8\left[\begin{array}{ccc}-10&-2&-5\\9&-7&-1\\9&-4&2\end{array}\right]

=\left[\begin{array}{ccc}-24&-6&-54\\-54&36&54\\-6&-6&18\end{array}\right] -\left[\begin{array}{ccc}-80&-56&-40\\72&-56&-8\\72&-32&16\end{array}\right]

=\left[\begin{array}{ccc}56&50&-14\\-120&92&62\\-78&26&2\end{array}\right]

So,~ A ~is ~your~ answer~

<u>---------------------------</u>

<u>hope it helps..</u>

<u>have a great day!!</u>

7 0
3 years ago
6. It takes Ms. Rogan 13.7 minutes to run 1 mile. How long does it take her to run 3.1 miles (a 5k!). *
Brums [2.3K]

Answer

42.47

Step-by-step explanation:

4 0
2 years ago
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