Answer:
Step-by-step explanation:
There are 52 cards in a standard deck, and there are 4 suits for each card. Therefore there are 4 twos and 4 tens.
At first we have 52 cards to choose from, and we need to get 1 of the 4 twos, therefore the probability is just
After we've chosen a two, we need to choose one of the 4 tens. But remember that we're now choosing out of a deck of just 51 cards, since one card was removed. Therefore the probability is
Now to get the total probability we need to multiply the two probabilities together
Answer:
A
Step-by-step explanation:
The measurements of the segments fall on similar triangles. This means the lengths of each segment can be found using proportions.
Remember, a proportion is an equation which sets equal ratios equal to each other.
To solve for c, multiply numerators and denominators across the equal sign:
24c = 32(15)
24c = 480
c = 20
Answer:
It might be 168 centimetres
Step-by-step explanation:
Answer:
Total distance:
- d=11/15 miles or 0.73 miles
Step-by-step explanation:
- Alison walks 2/5 miles from her house to the mailbox.
- Then she walks 1/3 mile to the bus stop.
Thus, the total distance can be calculated by adding the miles
i.e.
LCM of 5,3 is 15
miles
Thus,
Total distance:
- d=11/15 miles or 0.73 miles
Answer:
- Plan: separate the variable term from the constant term; divide by the coefficient of the variable.
- Steps: add 4 to both sides; collect terms; divide both sides by 3.
Step-by-step explanation:
The first step is to look a the equation to see where the variable is in relation to the equal sign, and whether there are any constants on that same side of the equal sign.
Here, the variable terms are on the left, and there is a constant there, as well. The plan for solving the equation is to eliminate the constant that is on the same side of the equation as the variable, then divide by the coefficient of the variable. To find that coefficient, we need to collect terms. In summary, the plan is to ...
- add 4 to both sides of the equation
- collect terms
- divide by the coefficient of the variable (3)
Executing that plan, the steps are ...
-2x -4 +5x +4 = 8 +4 . . . . add 4
3x = 12 . . . . . . . . . . . . . . . collect terms
x = 4 . . . . . . . . . divide by 3
