Answer:
$7.5
Step-by-step explanation:
Let
Quantity of stickers=x
Price of stickers=y
5 stickers cost $3
12 stickers cost $y
x/y = x/y
5/3 = 12/y
Cross product
5y=12*3
5y=36
Divide both sides by 5
5y/5 = 36/5
y=7.5
12 stickers= $7.5
Therefore, the price of 12 stickers= $7.5
Answer: # 4.) 9.4
#5.) 10.2 cm
#6.) 5 inches .
Step-by-step explanation: Assuming that a right triangle is expected, use the <u><em>Pythagorean Theorem</em></u> to calculate the third side: a² + b² = c²
Then take the square root of 89. A calculator is handy for most of these!
√89 = 9.433981 . Round to 9.4
√104 = 10.1980 Round to 10.2 <u>Remember to include the units, cm in the answer.</u>
<u>Memorize this one:</u>
<u>Given side lengths of 3 & 4, the hypotenuse is 5!</u>
3² + 4² = 5² Called a "Pythagorean Triple"
9 + 16 = 25
The square on the hypotenuse is a perfect square of 5
No calculator necessary, and you are likely to see this ratio in other questions.
Let me answer those two questions in the reverse order.
1). How it can be solved:
7x + 5 = 3x - 11
Subtract 3x
from each side: 4x + 5 = - 11
Subtract 5
from each side: 4x = - 16
Divide each side
by 4 : x = - 4
2). The answer is x = - 4 .
-4 is called the 'solution' to the equation, because that's the number
that 'X' MUST be. If it's any other number, then the equation is not
a true statement.