Answer:
3x + 4
Step-by-step explanation:
We have a product of 3 and x. That's rewritten as 3x. We then have 4 more, so we add 4. That gives us the final answer of: 3x+4. (It is 1-4x for the third one). ( The fourth one) The sum of seven and the quotient of a number x and eight
Here, x be the number.
" quotient of a number x and eight" translated to x/8
Sum means '+'
"sum of seven and the quotient of a number x and eight" translated to 7+ x/8 +56+x/8
then; the given statement is 56+x/8
⇒
Therefore, the given statement is 56+x/8
What part do you have trouble with
Answer:
3 : 7 =>
Anna = $180
Raman = $420
1 : 4 =>
Anna = $120
Raman = $480
Step-by-step explanation:
<u>Shares when ratio is 3 : 7</u>
Anna : Raman = 3 : 7
Sum of ratio 10
Anna's share=
Raman 's share=
<u>Shares when ratio is 1 : 4</u>
Anna : Raman = 1 : 4
Sum of ratio = 5
Anna 's share =
Raman's share =
Answer:
On occasions you will come across two or more unknown quantities, and two or more equations
relating them. These are called simultaneous equations and when asked to solve them you
must find values of the unknowns which satisfy all the given equations at the same time.
Step-by-step explanation:
1. The solution of a pair of simultaneous equations
The solution of the pair of simultaneous equations
3x + 2y = 36, and 5x + 4y = 64
is x = 8 and y = 6. This is easily verified by substituting these values into the left-hand sides
to obtain the values on the right. So x = 8, y = 6 satisfy the simultaneous equations.
2. Solving a pair of simultaneous equations
There are many ways of solving simultaneous equations. Perhaps the simplest way is elimination. This is a process which involves removing or eliminating one of the unknowns to leave a
single equation which involves the other unknown. The method is best illustrated by example.
Example
Solve the simultaneous equations 3x + 2y = 36 (1)
5x + 4y = 64 (2) .
Solution
Notice that if we multiply both sides of the first equation by 2 we obtain an equivalent equation
6x + 4y = 72 (3)
Now, if equation (2) is subtracted from equation (3) the terms involving y will be eliminated:
6x + 4y = 72 − (3)
5x + 4y = 64 (2)
x + 0y = 8
The correct equation should look something like this:
y= -1x - 2
Consider the equation for a line:
y = mx + b,
Where ‘m’ is the slope
Where ‘b’ is the y-intercept.
From there you can plug in your known values for ‘m’ and ‘b’, and get the equation above. If you are still not convinced, I suggest you graph the function and observe its slope and y-intercept.
Hope this helps!
