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Dima020 [189]
2 years ago
10

4x-12=24 how would this be solved

Mathematics
1 answer:
jekas [21]2 years ago
7 0

Answer:

x = 9

Step-by-step explanation:

~~~~~~4x-12 = 24\\\\\implies 4(x-3) = 24\\\\\implies x -3 = \dfrac{24}4\\\\\implies x-3 = 6\\\\\implies x = 6+3\\\\\implies x = 9

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Dennis went cross country skiing for 6 hours on Saturday. He skied 20 miles uphill and then 20 miles downhill, returning to his
yulyashka [42]

Answer: Downhill:10mph   Uphill:5mph

Step-by-step explanation:  

We are looking for Dennis’s downhill speed.

Let  

r=

 Dennis’s downhill speed.

His uphill speed is  

5

miles per hour slower.

Let  

r−5=

Dennis’s uphill speed.

Enter the rates into the chart. The distance is the same in both directions,  

20

miles.

Since  

D=rt

, we solve for  

t

and get  

t=

D

r

.

We divide the distance by the rate in each row and place the expression in the time column.

Rate

×

Time

=

Distance

Downhill

r

20

r

20

Uphill

r−5

20

r−5

20

 

Write a word sentence about the time.

The total time traveled was  

6

hours.

Translate the sentence to get the equation.

20

r

+

20

r−5

=6

Solve.

20(r−5)+20(r)

40r−100

0

0

0

=

=

=

=

=

6(r)(r−5)

6

r

2

−30r

6

r

2

−70r+100

2(3

r

2

−35r+50)

2(3r−5)(r−10)

Use the Zero Product Property.

(r−10)=0

r=10

(3r−5)=0

r=

5

3

The solution  

5

3

is unreasonable because  

5

3

−5=−

10

3

and his uphill speed cannot be negative. So, Dennis's downhill speed is  

10

mph and his uphill speed is  

10−5=5

mph.

Check. Is  

10

mph a reasonable speed for biking downhill? Yes.

Downhill:

10 mph

5 mph⋅

20 miles

5 mph

=20 miles

Uphill:

10−5=5 mph

(10−5) mph⋅

20 miles

10−5 mph

=20 miles

The total time traveled was  

6

hours.

Dennis’ downhill speed was  

10

mph and his uphill speed was  

5

mph.

3 0
3 years ago
jayson buys a car and pays by installments, each installments is $567 per month. after 48 months, jayson owes $1250. what was th
KIM [24]
Okay so like, all you've gotta do is multiply 567 by 48 & add 1250. Leaving you with the answer of 28,466
7 0
3 years ago
Will give brainlest answer pls help!
mojhsa [17]
You can use 2 step equations to solve real-world problems by assessing the situation, trial and error, As in for example;
if you cannot open a twist off bottle cap by turning it to the right. You have two options twisted to the left to loosen or turn it to the right and not open it”

“ Lefty Lucy righty tightly”

Or if you are married and your husband cheats on you you can do one or two of the following stay or a go

For example stay and be an idiot or go and love yourself and take everything he has
8 0
3 years ago
Oh please i need help lol
drek231 [11]

Answer:

 

Step-by-step explanation:

                               

Download pdf
6 0
3 years ago
Jeff works in the Klein Forest cafeteria. When A-lunch begins, he has already prepared 50lunches. He will prepare 10 lunches per
olga_2 [115]

The function is L = 10m + 50

Here, we want to find out which of the functions is required to determine the number of lunches L prepared after m minutes

In the question, we already had 50 lunches prepared

We also know that he prepares 10 lunches in one minute

So after A-lunch begins, the number of lunches prepared will be 10 * m = 10m

Adding this to the 50 on ground, then we have the total L lunches

Mathematically, that would be;

L = 10m + 50

8 0
1 year ago
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