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avanturin [10]
3 years ago
14

5x+10=25 Step 1: 5x=155x=15 Step 2: x=3x=3 Step 3: 5\left(3\right)+10=255(3)+10=25 Step 4: 15+10=2515+10=25 Step 5: 25=2525=25 P

rompt 1Step 2 Prompt 1 Answer Prompt 2Step 4 Prompt 2 Answer Prompt 3Step 5 Prompt 3 Answer Prompt 4Step 1 Prompt 4 Answer Prompt 5Step 3 Prompt 5 Answer
Mathematics
1 answer:
marishachu [46]3 years ago
8 0

Step-by-step explanation:

We need to solve 5x+10=25 ....(1)

Step 1.

Subtract 10 to both sides of the above equation.

5x+10-10=25-10

5x=15

Step 2,

Divide each side by 5.

\dfrac{5x}{5}=\dfrac{15}{5}\\\\x=3

If we want to check whether it is correct or not, step are as follows :

Put x = 3 in equation (1)

5(3)+10=15+10

=25

It means that the above steps are correct.

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An astronaut on the moon throws a baseball upward. The astronaut is 6 ft 6 in tall, and the initial velocity of the ball is 40 f
weqwewe [10]

Answer:

t = 0.293 s and 14.52 s

Step-by-step explanation:

The heights of the ball in feet is given by the equation as follows :

S = -2.7t^2+40t+6.5

Where t is the number of seconds after the ball was thrown.

We need to find is the ball 18 ft above the moon's surface.

Put S = 18 ft

-2.7t^2+40t+6.5=18\\\\-2.7t^2+40t=18-6.5\\\\-2.7t^2+40t-11.5=0

It is a quadratic equation. Its solution is given by :

t=\dfrac{-40+\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)},\dfrac{-40-\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)}\\\\t=0.293\ s,14.52\ s

So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.

8 0
3 years ago
A train decreased its speed by 72 miles hour in 12 minutes. Find the average change in speed per minute.
melisa1 [442]

Answer:

6 mph

Step-by-step explanation:

3 0
3 years ago
What are the similarities between S waves and surface waves
Nikolay [14]
Both arrive after P Waves.
6 0
3 years ago
R + 3 1/2 = -4 2/3
alexandr402 [8]

Answer:

R = -8 1/6

Step-by-step explanation:

We'll solve the given equation for R.

Subtract 3 1/2 from both sides of the equation, to isolate R:

           R +  3 1/2  -  3 1/2 = -4 2/3  - 3 1/2, or

            R = -4 2/3 - 3 1/2

The LCD here is 6, which is the product of 3 and 2.  Converting the fractions to denominator 6, we get:

              R = -4 4/6 - 3 3/6, or

               R = -7 - 7/6, or R = -7 - 1 1/6, or -8 1/6

3 0
3 years ago
A car rental company charges $10 a day and 17 cents per mile to rent their cars. If the total charge for a 2-day rental were $61
borishaifa [10]

Answer:

245 miles driven.

Step-by-step explanation:

A car rental company charges $10 a day and 17 cents per mile to rent their cars. 17 cents = 0.17 dollars

Let x be the number of miles and y be the number of days

total change =0.17x  + 10y

Given total change is 61.65 and number of days = 2

plug in the values and find out the number of miles

61.65 = 0.17 x + 2(10)

61.65 = 0.17 x + 20

subtract 20 on both sides

41.65 = 0.17x

Divide by 0.17 on both sides

x = 245

245 miles driven.


7 0
3 years ago
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