All categories

3 years ago

Solve each equation 4x=38-2(x+4)

Mathematics

1 answer:

yawa3891 [41]3 years ago

3 0

Answer:

x = 5

Step-by-step explanation:

To solve this equation, we will have to solve for x.

4x = 38 - 2(x + 4)

Distribute the 2 on the right side of the equation.

4x = 30 - 2x - 8

Combine like terms.

4x = 30 - 2x

Add 2x to both sides of the equation.

6x = 30

Divide both sides by 6.

x = 5

So the solution to the equation would be x = 5.

I hope you find my answer and explanation helpful. Happy studying. :)

You might be interested in

There are between 50 & 60 eggs in a basket. When roza counts by 3's there are 2 leftover and when she counts by 5's there ar

avanturin [10]

There are 59 eggs in the basket

Step-by-step explanation:

There are between 50 & 60 eggs in a basket

When Roza counts by 3's there are 2 leftover
When she counts by 5's there are 4 leftover

We need to find how many eggs in the basket

∵ When Roza counts by 3's there are 2 leftover

∵ When she counts by 5's there are 4 leftover

- That means the number of eggs when divided by 3 give

remainder 2 and when divided by 5 give remainder 4

- To find the number look for the numbers that divisible by 5 and

add 4 to them and then check the remainder when they divided

by 3

∵ Between 50 and 60 there is only one number divisible by 5

is 55 (not including 50 or 60)

∵ 55 + 4 = 59

∴ 59 gives remainder 4 when divided by 5

Let us check them with 3

∵ 59 - 2 = 57

∵ 57 is divisible by 3 ⇒ (57 ÷ 3 = 19)

∴ 59 when divide by 3 gives remainder 2

∴ 59 gives remainder 4 when divided by 5 and remainder 2 when

divided by 3

∴ The number of eggs in the basket is 59

There are 59 eggs in the basket

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

6 0

3 years ago

100 POINTS!!!! CAN ANYONE PLEASE HELP ME OUT WITH THIS??!!

JulsSmile [24]

The two boats picked for the trip are the steamboat and the tall ship. Let us assume that we will take the steamboat going to the island, and then we will take the tall ship for the return trip. We will then relate the distances travelled by both ships to each other.

2. We know that the steamboat takes five hours to complete the trip. The tall ship takes more time, at ten hours to complete the trip. We do not have the exact speeds of the steamboat or of the tall ship, but we do know that the tall ship is 10 knots slower than the steamboat. We likewise do not know the exact distance travelled by either ship, but we do know that both travel the same distance. We want to find out how fast each boat travels. We expect the answers to be in knots, with a difference of 10.

3. We know that distance is equivalent to the product of speed of a boat multiplied by the time of travel. For the trip going to the island, we will use the steamboat. Let its speed be x knots (equivalent to x nautical miles per hour), and let the distance going to the island be d nautical miles. Given that the time takes is 5 hours, this means that d = 5x.

4. If we let x be the speed of the boat you are taking to the island (the steamboat), then we know that the speed of the other boat (the tall ship) is 10 knots less than the steamboat's. So the speed of the tall ship (for the return trip) is (x - 10) knots.

5. Similar to part 3: we will multiply speed by time to determine the distance from the island. From part 4, we have determined that the speed of the tall ship to be used in returning is (x - 10) knots. Meanwhile, the given in the problem says that the tall ship will take 10 hours to make the trip. Therefore the distance will be equal to d = 10(x - 10) = 10x - 100 nautical miles.

6. We can assume that the distance travelled going to the island is the same distance travelled coming back. Therefore, we can equate the formula for distance from part 3 for the steamboat, to the distance from part 5 for the tall ship.
5x = 10x - 100

7. Solving for x: 5x = 10x - 100
-5x = -100
x = 20
Since x is the speed of the steamboat, x = 20 means that the steamboat's speed is 20 knots.

8. We determined in part 4 that the speed of the second boat (in our case, the tall ship) is (x - 10) knots. Since we have calculated in part 7 that the steamboat travels at x = 20 knots, then the speed of the tall ship is (x - 10) = 20 - 10 = 10 knots.
THESE ARE JUST ANSWERS I FOUND ONLINE TO SEE IF THEY HELP YOU IF THEY DONT IM SORRY

6 0

2 years ago

Plz answer asap and i would be very grateful

goldfiish [28.3K]

The answer is C.

hope this helps

8 0

3 years ago

You have a bag full of apples. There are 12 Jonathan (red), 6 Granny Smith (green), and 3 Golden Delicious (yellow) apples in th

tensa zangetsu [6.8K]

Answer:

The total number of apples is 17

Step-by-step explanation:

(a)

Number of green apples = 4

P ( that all three apples are green)

= (limit 4 and 3) / (limit 17 and 3)

= 4! / 3!(4−3)!

= 17! / 3!(17−3)!

= 1 / 170

= 0.005

(b)

Number of red apples = 8

P(that all three apple are green)

=(limit 8 and 3) / (limit 17 and 3)

= 8! / 3!(8−3)!

= 17! / 3!(17−3)!

= 7 / 85

= 0.082

Now,

P(that no three apple is red)= 1−0.082 = 0.918

P(of selecting 4 apple that contain at least 2 red apples)

= (limit 8 and 2) /( limit 17 and 2) X (2/15) + (limit 8 and 3) /(limit 17 / 3) X (1/14)

= (7/34) × (2/15) + (7/85) × (1/14)

= 0.027 + 0.058

= 0.085

P(that the second apple selected is yellow given that the first apple is red)

= (limit 5 and 1) / ( limit 16 and 1)

= 5! / 1!(5−1)!

= 16! / 1!(16−1)!

= 5 /16

= 0.3125

5 0

3 years ago

Read 2 more answers

There is a total of 270 men, women and children on a train.

ryzh [129]

Because the ratio of women to children is 10:1, double the ratio of men to women so the women are both 10:

Men to women becomes 8:10

Now total the 3 ratios: 8 for men, 10, for women and 9 for children:

8 + 10 + 9 = 27

Divide total people by that number:

270/27 = 10

Multiply 10 by each ratio:

Men = 8 * 10 = 80

Women = 10 * 10 = 100

Children = 9 *10 = 90

There is 80 men.

6 0

3 years ago

Read 2 more answers