the answers are 5.)b 6.)c.
Answer:
Step-by-step explanation:
Using cross method
7. 
4x 3
2x - 3
= (4x+3)(2x-3)
8. 
= xy(4x-24+32)
= 4xy (x-4+8)
Step-by-step explanation:
a probability is always desired cases over total possible cases.
the bag has 4 + 7 + 8 + 6 = 25.
so, when we pick a random M&M we have total 25 possible outcomes.
the desired cases are to pick a green or a blue M&M.
that means these are 7+8 = 15 cases.
the probability to pick one or of the desired cases is
15/25 = 3/5 = 0.6
The best way to solve this problem is with a simple equation: part = percent (in decimal form) x whole
In this problem, we're trying to solve for the <em>whole </em>amount that the camera can hold, so we'll assign that the variable w.
We can use the information they gave us - 96 is the <em>part</em>, and 24% is the percent. We'll convert that to decimal form - 0.24
Then, we just plug these values back into the above equation:
96 = 0.24w
Divide both sides by 0.24 to get w on it's own, and you have your answer!
400 = w
Therefore, the memory card can hold up to 400 pictures.
Note: this equation is <em>super </em>helpful. It's good to have on hand for any problem involving percents, because you can solve for the part, percent, or whole depending on the problem.
Answer:
A = 15 units²
Step-by-step explanation:
The figure has 1 pair of parallel sides and is therefore a trapezium.
The area (A) of a trapezium is calculated as
A =
h (b₁ + b₂ )
where h is the perpendicular height between bases and b₁, b₂ are bases
here h = 3, b₁ = 3 , b₂ = 7 , then
A =
× 3 × (3 + 7) = 1.5 × 10 = 15 units²