First, you add up all the prices. 1.79 + 2.99 + 4.37 + 0.33 = 9.48. Then, you do 10.00 - 9.48 = 0.52 and that's your answer.
Answer:
x = 2
Step-by-step explanation:
8(4-x) = 7x + 2
1) Distribute : 32 - 8x = 7x + 2
2) Subtract 32 : -8x = 7x - 30
3) Subtract 7x : -15x = -30
4) Divide 15 : x = 2 :)
28.34 can be estimated to the nearest number, which is 28. 26.59 can be estimated to the nearest number, which is 27. 33.11 can be estimated to the nearest number, which is 33. 28+27+33=88
Answer:
x=30
Step-by-step explanation:
Answer:
w= 9
Step-by-step explanation:

Square both sides:
-4w +61= (w -4)²

Expand:
-4w +61= w² -2(w)(4) +4²
-4w +61= w² -8w +16
Simplify:
w² -8w +16 +4w -61= 0
w² -4w -45= 0
Factorize:
(w -9)(w +5)= 0
w -9= 0 or w +5= 0
w= 9 or w= -5 (reject)
Note:
-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.
<u>Why </u><u>do </u><u>we </u><u>use </u><u>negative </u><u>square </u><u>root?</u>
When solving an equation such as x²= 4,
we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.
In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.
However, back to our question, we did not introduce the square root so we should not consider the negative square root value.