Answer:
2(4+x)
Step-by-step explanation:
"Twice the sum of" tells us it will be the equation times two
"the sum of four and a number" is easy, thats 4 + x
The second number is x because the number is not specified so we need a place holder, x in this case, to tell us that the number is not given.
All this put together = twice the sum of four and a number, or <u>2(4+x)</u>
Answer:
Step-by-step explanation:
x = cost of drink
y = total cost
First information: "one large pizza and 3 medium drinks cost $21.96":
3a + b = 21.96
Second information: "one large pizza and 6 medium drinks cost $30.93":
6a + b = 30.93
{3a + b = 21.96
{6a + b = 30.93
{- 3a - b = - 21.96
{6a + b = 30.93
3a = 8.97
a = 2.99
3a + b = 21.96
3•2.99 + b = 21.96
8.97 + b = 21.96
b = 21.96 - 8.97
b = 12.99
Each drink costs $2.99 and each pizza costs $12.99. The linear function rule is:
y = 2.99x + 12.99
I hope I've helped you.
To simplify the process of expanding a binomial of the type (a+b) n (a + b) n, use Pascal's triangle. The same numbered row in Pascal's triangle will match the power of n that the binomial is being raised to.
A triangular array of binomial coefficients known as Pascal's triangle can be found in algebra, combinatorics, and probability theory. Even though other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy, it is called after the French mathematician Blaise Pascal in a large portion of the Western world. Traditionally, the rows of Pascal's triangle are listed from row =0 at the top (the 0th row). Each row's entries are numbered starting at k=0 on the left and are often staggered in relation to the numbers in the next rows. The triangle could be created in the manner shown below: The top row of the table, row 0, contains one unique nonzero entry.
Learn more about triangle here
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Answer:
4.30m/hr
Step-by-step explanation:
2 feet/8.5 mins is 0.235294118 feet per minute, which is 4.3030553875397 metres per hour, which to 2 s.f. is 4.30
The increase of volume = volume of the cube = 1 cubic foot = 1728 cu ins
Area of the base = 12 sq ft = 12 * 144 = 1728 sq ins
The height of increase = 1728 / 1728 = 1 inch Answer