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White raven [17]
3 years ago
11

Twice the sum of a number and 7 is equal to three times the difference of the number and 8.

Mathematics
1 answer:
Vlad [161]3 years ago
4 0
First, set up what you know. Twice the sum of a number and seven means: 2x+7. Three times the difference of the number and 8 is 3(x-8).

Set both of them equal to each other and you'll get this:
2x+7 = 3(x-8)
Afterwards just follow through with algebra.
2x+7 = 3x - 24

2x + 31 = 3x

31 = 3x - 2x

31 = x

Afterwards check your work to see if it is correct.
2(31) + 7 = 3( 31 - 8 )

62 + 7 = 3(23)

69 = 69

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To get from mm to m, you would divide by 1000. 4000/1000 is 4, meaning the alligator is 4m and the croc is 6m (therefore longer)
7 0
2 years ago
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I need to step-by- step ways on how this is or isn’t a solvable equation. Please HELP
Darya [45]

Answer:

it is a solvable equation

Step-by-step explanation:

(x + 2) -3(x - 4) = 6 and x = 4

if x = 4 then fill in all the x's with 4 so the equation is now:

(4 + 2) -3(4 - 4) = 6

Use PEMDAS

Now the equation is 6 - 3(0) = 6

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6 = 6

when you put the 4 in for the x variables and the numbers on both sides of the equal sign are the same it makes the equation true

hope this makes sense and hope it helps :)

3 0
3 years ago
Mr. Gephart is traveling from his house to the history museum. How many meters will he travel to the museum? The distance from h
snow_lady [41]

Answer: 6700 meters

Step-by-step explanation:

From the question given, we are informed that Gephart is traveling from his house to the history museum and that the distance from home to the history museum is six and seven-tenths kilometers.

In order to know the distance in meters

that he will travel to the museum, we have to multiply the convert the distance given in kilometers to meters. This will be:

1000 meters = 1 kilometer

Therefore, 6 7/10km = (6 7/10 × 1000m)

= 6 7/10 × 1000

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He'll travel 6700 meters to the museum.

7 0
3 years ago
A mother is 13/4 times as tall as her son. Her son is 3 feet tall how tall is the mother.
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Bogdan [553]

Answer: option C is the correct answer

Step-by-step explanation:

The y-intercept of the function is the point on the y or vertical axis at which the straight line cuts through it. The value on the y axis is read off as the y-intercept .

The equation of a straight line is modelled using the slope - intercept equation of

y = mx + c

Where m is the slope( change in value of y/ change in value of x.

c = the y-intercept

Looking at the function given,

f(x)=4 – 5x? Where f(x) is the same as y in our slope intercept equation.

Rearranging the function, it becomes

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The intercept is 4

Option C is the correct answer.

7 0
4 years ago
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