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Inessa [10]
3 years ago
9

If DE= 4x–1, EF= 9, and DF= 9x–22 , find the value of x

Mathematics
1 answer:
dybincka [34]3 years ago
6 0

Answer:

The correct answer is x = 6.

Step-by-step explanation:

To solve this problem, we first must recognize that DE + EF = DF.

From this information, we can set up the following equation when we substitute in the given values:

DE + EF = DF

(4x-1) + 9 = 9x - 22

Our first step is going to be to combine like terms on the left side of the equation.  This is modeled below:

4x - 1 + 9 = 9x - 22

4x + 8 = 9x - 22

Then, we should subtract 4x from both sides of the equation.

8 = 5x - 22

Now, we can add 22 to both sides of the equation.

30 = 5x

Finally, we can divide both sides by 5.

x = 6

Therefore, the correct answer is x = 6.

Hope this helps!

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A jellyfish travels 3/5 mile in 1/6 hour and a walrus travels 5/6 mile in 3/10 hour.
emmasim [6.3K]

Answer:

The jellyfish travels faster than the walrus

Step-by-step explanation:

Given data

A jellyfish travels 3/5 mile in 1/6 hour

Distance= 3/5 mile

time= 1/6 hour

speed= distance/time

speed= 3/5/1/6

speed= 3/5*6/1

speed= 18 mile per hour

a walrus travels 5/6 mile in 3/10 hour.

Distance= 5/6 mile

time= 3/10 hour.

speed= distance/time

speed= 5/6/3/10

speed= 5/6*10/3

speed= 50/18 mile per hour

3 0
3 years ago
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blsea [12.9K]
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20% increase

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8 0
3 years ago
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What are the solutions to x2 + 8x + 7 = 0?
nikitadnepr [17]

Answer:

x= -1 and x= -7

hope it helps.

5 0
3 years ago
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Anton [14]
Company A
Income = 35,000 + 0.03x

Company B
Income = 25,000 + 0.05x

set them equal to see how much of sales Julia needs to make the same income at both companies.

30,000 + 0.03x = 25,000 + 0.05x
30,000 - 25,000 = 0.05x - 0.03x
5,000 = 0.02x
5,000/0.02 = x
 250,000 = x

Company A has better base salary and so would pay better if less than 250,000 sales are made. Company B has bigger percent bonus and would be a better deal if more than 250,000 sales are made.

So it's the 2nd choice.
4 0
3 years ago
Solve the following equation for x.
makkiz [27]

Answer:

you're answer is d

Step-by-step explanation:

you make the 9 positive and add 9 to -51 and you get -42 then you divide by 6 and get -7

3 0
3 years ago
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