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Alexandra [31]
3 years ago
9

Five times a number is the same as two times a number added 21

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0

Answer:

Our number is 7.

Step-by-step explanation:

We also know that it's 2x + 21 = 5x.

Now we solve.

21 = 5x - 2x

21 = 3x

7 = x

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An airplane flies into the wind for 5 hours, traveling 900 miles. The airplane then
Musya8 [376]

Answer:

22.5 miles per hour

Step-by-step explanation:

<u>Given system of equations</u>

5(s-w)=900

4(s+w)=900

<u />

<u>Set equations equal to each other</u>

5(s-w)=4(s+w)

5s-5w=4s+4w

s-5w=4w

s=9w

<u>Solve for w using the substitution s=9w</u>

4(s+w)=900

4(9w+w)=900

4(10w)=900

40w=900

w=22.5

Therefore, the speed of the wind is 22.5 miles per hour

7 0
2 years ago
Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?
Alexxandr [17]

Answer:

a) Add 4 to both sides, and then divide by 2. The solution is x=12.

Step-by-step explanation:

Question:

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

a) Add 4 to both sides, and then divide by 2. The solution is x = 12.

b) Divide both sides by −4, and then subtract 2. The solution is x = −7.

c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.

d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.

Solution:

Given equation:

2x-4=20

We need to determine the steps in order to solve for x.

Solving for x.

Step 1: Adding 4 both sides.

2x-4+4=20+4

2x=24

Step 2: Dividing both sides by 2.

\frac{2x}{2}=\frac{24}{2}

∴ x=12

Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12

7 0
3 years ago
Jessica and Patricia finished 2/5 of their group project in 4/5 hour. If Jessica and Patricia's rate stayed the same, how much o
kvv77 [185]

Answer:

1/3

Step-by-step explanation:

A because it thev anwser

3 0
3 years ago
Which of the following is an example of the distributive property?
lukranit [14]

Answer:

option 3: 3(10+5) = 30+15

Step-by-step explanation:

7 0
3 years ago
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs
Serjik [45]

Answer:

3.25 + 5.50S is less than or equal to 30

7 0
2 years ago
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