A. Translate each of the following into algebraic expressions: (1 point each)
1.x plus y squared ---> x + y^2
2.8 times a number, x, decreased by y ---> 8x - y
3.the sum of x and y, squared ---> (x + y)^2
4.3 times the difference of x and y ---> 3( x - y)
5.6 less than x cubed --- > x^3 - 6
B. Translate the following phrases into algebraic expressions. Explain,
in complete sentences, the difference between the two. (3 points)
´twice the sum of x and y ---> 2(x + y)
´the sum of twice x and y ---> 2x + y
The first one adds first x and y, and then doubles the result, while the second one first doubles de value of x and the adds y.
C. Create your own example of a mathematical phrase you might hear in
the real world and provide the translation for it. Be sure to identify
what part of the phrase i
The sales of this year exceeded the sales of last year in tweny millions.
y = x + 20,000,000, where x represents the sales of last year and y represents the sales of this year,
Let t = the number of days the mouse travels
Let D = the distance that the mouse traveled
The mouse travels at a rate of 1.5 miles per day, so R = 1.5 mi/day
The equation is:
Distance (D) = Rate (R) x Time (t)
SO:
Distance (D) = 1.5 mi./day X Time (t)
Answer:
The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.
Step-by-step explanation:
A factor pair is a combination of two factors which can be multiplied together to equal 805. In proper math terms, the number 805 is called the product and the two numbers that can be multiplied together to equal it are called the factors.
In order to work out the factor pairs of 805 we need to first get all of the factors of 805. Once you have the list of all those factors we can pair them together to list out all of the factor pairs.
The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.
Answer:
143π in³
Step-by-step explanation:
A basketball has the shape of a sphere
Volume of a basketball = 4/3πr³
Diameter = 9.5 in
Radius = diameter/2
= 9.5/2
= 4.75 in
Volume of a basketball = 4/3πr³
= 4/3 * π * 4.75³
= 4/3 * π * 107.17
= (4*π*107.17) / 3
= 428.68π / 3
= 142.89π in³
Approximately
143π in³ to the nearest whole number
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