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Questions in mathematics

[Done] Bethan and Siobhan are cousins. They both live in the same city but do not attend the same school. The graph represents each of their journeys to school and back. a) At what time does Bethan arrive home from school? b) What distance does Siobhan travel each day when going to school and back?

[Done] A distance of 150 km is covered by the Satabdi train in 5 hours less than by the Rajdhani train. Find the time taken by the Rajdhani train to cover the whole journey, if the Rajdhani train is 5 km/h slower than the Satabdi train.

[Done] DAY 1. Translating Real Life Verbal Phrases into Algebraic Expressions ADDITION (+) Added to, Increased by, Sum, more than, total of SUBTRACTION (-) less than, subtracted from, difference, minus, Diminished by, fewer by MULTIPLICATION (X) percent of, times, multiplied by, product DIVISION (/) quotient, per, divided by, ratio Algebraic Expression - a set of symbols resulting from applying one or more fundamental operations, namely, addition, subtraction, multiplication, and division of constants and variables. Constant - a symbol that has a fixed value Variable - a symbol with no fixed value and is usually represented by an English alphabet. Expressing verbal phrases into mathematical symbols. Verbal Phrase | Mathematical Symbol ---|--- Six increased by two | 6 + 2 Twelve diminished by three | 12 - 3 Fifteen decreased by eleven | 15 - 11 Express the following verbal phrases into mathematical symbols. The quotient of nine and 3 The sum of five and seven Translating verbal phrases into algebraic expressions. Verbal Phrases | Algebraic Expressions ---|--- Six times a number | 6x A number divided by five | n รท 5 Translating verbal phrases into algebraic expressions. Verbal Phrases | Algebraic Expressions ---|--- 1. The difference between twenty and a number 2. The product of a number and twelve 3. A number decreased by two DAY 2: Writing Algebraic Equations For Simple Real-Life Situations An algebraic equation is a statement of the equality of two expressions formulated by applying to a set of variables, algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root. Base Fare is the price to be paid before additional fees are added. Perimeter of a rectangle is the total distance around its outside edges represented by the formula P = 2l + 2w

[Done] A city is growing at the rate of 0.8% annually. If there were 2,632,000 residents in the city in 1993, find how many (to the nearest ten-thousand) are living in that city in 2000. Use [tex]y = 2,632,000(2.7)^{0.008t}[/tex]

[Done] The side of a square measures p cm. Write an expression to show the perimeter of the square. You don't need to include the units.

[Done] Apply the distributive property, then simplify: [tex]6\left(\frac{2}{3}+\frac{1}{6}\right)=[/tex]

[Done] To save for a car when he turns 18, Pascale deposited $500 each year into a savings account with a 7.5% interest rate compounded annually. Year | Beginning Balance | Interest Earned | Ending Balance ---|---|---|--- 1 | $500.00 | $37.50 | $537.50 2 | $1,037.50 | $77.81 | $1,115.31 3 | $1,615.31 | $121.15 | $1,736.46 4 | $2,236.46 | $167.73 | $2,404.19 5 | | | Using the formula [tex]$A=P(1+r)^t$[/tex], what is the value of the account at the end of the fifth year? A. $3,071.92 B. $3,122.00 C. $3,851.77 D. $4,140.65

[Done] Find the sum, express it in the simplest form: (7u^3 -u^2 -7) + (2u^3 -4u^2+2)

[Done] Which expressions are in their simplest form? Check all that apply. $\frac{1}{3}+x^7$ $x^{-9}-\frac{1}{y}$ $\frac{1}{x^3}-\frac{1}{y^4}$ $x^3+\frac{1}{y}-t^6$ $x^{-5}-y^{-4}$

[Done] Solve for y. [tex] \begin{array}{l} y-4=2(x+5) \\ y=[?] x+\square \end{array} [/tex]