Answer:
$1600 is the full budget
Step-by-step explanation:
1200/3=400
400x4=1600
Answer:
33 is the width and 11 is the length
Step-by-step explanation:
the first thing that i did is to divide 88 by four which gives you 22.
that is the length if this is a square and since it is a rectangle and the length is 1/3 of the width.
then you divide 22 in half and get 11,
add 11 to 22 get 33.
subtract 11 from 22 get 11.
33 is the width 11 is the length
Answer:
It is 17,18 and 19
Step-by-step explanation:
Consecutive numbers are
x, x+1, x+2
x+x+1+x+2=54
3x+3=54
-3 -3
3x=51
x=17
17
17+1=18
17+2=19
17, 18 and 19
Rewriting the equation as a proportion, we have
(1/2 * 2x/2x) + (1/2x * 2/2) = (x^2 - 7x + 10)/4x
(2x/4x) + (2/4x) = (x^2 - 7x + 10)/4x
Multiplying both sides of the equation by 4x to clear the denominators:
2x + 2 = x^2 - 7x + 10
We now have a new equation that is equivalent to the original equation:
x^2 - 9x + 8 = 0
We can also write the equation into its factored form:
(x - 8)(x - 1) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x - 8) or (x - 1) zero will make their product zero.
x - 8 = 0 => x = 8
x - 1 = 0 => x = 1
Therefore, our solutions are x = 8 and x = 1.