.help work.............................math
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For this case we have to:
x: Let the variable representing the unknown number
We algebraically rewrite the given expression:
Eleven more than four times a number, is represented as:
The number less 7, is represented as:
Thus, the complete expression is:
We subtract x from both sides of the equation:
We subtract 11 from both sides of the equation:
Equal signs are added and the same sign is placed:
We divide by 3 on both sides of the equation:
Answer:
Answer:
a. The probability of getting an specific sequence would be
b. The probability of having an specific sequence would be.
Step-by-step explanation:
a. If you draw 5 marbles without replacement, the probability of getting an specific sequence would be
b. If you draw 5 marbles all at once without replacement, the probability of having an specific sequence would be.
Let w represent width of the pathway.
We have been given that a rectangular garden measuring 13 meters by 15 meters is to have a gravel pathway of constant width built all around it.
Since pathway will be on all sides, so new length and width of garden with pathway would be by
.
We are also told that there is enough gravel to cover 80 square meters. This means that area f pathway should be equal to 80 square meters.
The area of the pathway will be equal to area of garden with new dimensions minus area of garden with original dimensions.
We know that area of rectangle is width times length.
Since we are asked to write an inequality that represents all possible widths(w), in meters, of the pathway, so area of pathway should be less than or equal to 80 square meters.
Therefore, our required inequality would be .