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3 years ago

What should be added to both sides of this equation to solve for the variable? -6 + f = 13

Mathematics

2 answers:

SpyIntel [72]3 years ago

7 0

Answer:

Nesesito ayuda sobre estas dos preguntas la1 y la ocho pero tiene que tener sentido con las demas

Step-by-step explanation:

MakcuM [25]3 years ago

7 0

Answer:

1. 6 should be added to both sides

2. f=19

Step-by-step explanation:

When solving equations like this, we have to isolate the variable. To do this, perform the inverse operation to both sides of the equation.

-6+f=13

This can be rewritten as:

f-6=13

6 is being subtracted from f. In order to get f by itself, we have to get rid of the 6 being subtracted from f. The inverse of subtraction is addition. Add 6 to both sides.

f-6+6=13+6

f= 13+6

f=19

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A barbecue sold 26 hamburgers and hot dogs. Hamburgers sell for $3.50 each and hot dogs sell for $2.00 each. If the barbecue mad

Angelina_Jolie [31]

x => Hamburgers

y => Hot dogs

x + y = 26

3.5x + 2y = 70

-2x - 2y = -52

3.5x + 2y = 70

-----------------------

1.5x = 18

x = 18 / 1.5 = 12

y = 26 - 12 = 14

They sold 12 hamburgers and 14 hot dogs

7 0

4 years ago

If f (x) = 3x - 2 and fog(x) = 6x - 2 then find the value of<br>x such that gof(x) = 8.

Yakvenalex [24]

9514 1404 393

Answer:

x = 2

Step-by-step explanation:

To find g(x), we can start with the inverse of f(x).

f(y) = x . . . . . . . solve this to find f^-1(x)

3y -2 = x

3y = x +2 . . . . add 2

y = (x +2)/3 = f^-1(x) . . . . divide by 3

Now, we can find g(x):

f^-1(f(g(x)) = g(x)

f^-1(6x -2) = ((6x -2) +2)/3 = g(x)

6x/3 = g(x) = 2x

Now, we want g(f(x)) = 8

g(3x -2) = 8

2(3x -2) = 8

6x -4 = 8

6x = 12

x = 2 . . . . makes g(f(x)) = 8

8 0

3 years ago

Look at the triangular prism. Work out the volume of the prism.

xz_007 [3.2K]

Answer:

See explanation

Step-by-step explanation:

The question has missing details, as the diagram of the prism is not shown.

However, I'll solve using a general rule.

The volume of a triangular prism is:

$Volume = \frac{1}{2}* b * h * l$

Where

$b = base$

$h = height$

$l = length$

Take for instance:

$b = 20cm$

$h = 10cm$

$l = 5cm$

The volume is:

$Volume = \frac{1}{2} * 20cm * 10cm * 5cm$

$Volume = 10cm * 10cm * 5cm$

$Volume = 500cm^3$

Another instance (see attachment).

From the attachment:

$b = 4.5cm$

$h = 5cm$

$l = 8cm$

The volume is:

$Volume = \frac{1}{2} * 4.5cm * 5cm * 8cm$

$Volume = 2.25cm * 5cm * 8cm$

$Volume = 90cm^3$

7 0

3 years ago

If y - 1 = 10 What is the variable of y?

Advocard [28]

Y-1=10
+1. +1

So y = 11
Hope that helps

4 0

3 years ago

Read 2 more answers

Divide the following fractions and reduce to lowest terms 2/3 divided by 4/5

pshichka [43]

Well to divide 2 fraction you first have to find a least common number between the 2 bottom numbers in the fractions, we know automaticall that 15 fits in both the 3 and the 5. now u have to find out what to multiply by each number to get 15, for example what number do you multiply by 3 to get 15?? well it will be 5, so go ahead and multiply it by the fraction (note that what you do in the bottom you have to do in the top) this will give you 10/15, because I multiplied the top and bottom number by 5... lets try the other one what number do you multiply by 5 to get 15?? well it will be 3 so go ahead and multiply that to get 12/15.. now add the top numbers (note that the bottoms always stay the same, you never add or subtract them) when you do you will get 22/15, now you have to see if you can simplify it any further in this case you can't so your final answer is 22/15

Hope this helps

5 0

3 years ago