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Jim has $440 in his savings account and adds $12 per week to the account. At the same time, Rhonda has $260 in her savings account and adds $18 per week to the account. How long will it take Rhonda to have the same amount in her account as Jim? Set up Jim's savings function S(w) where w is the...

The Lakewood library has $8,040 to buy science magazines. If each magazine costs $3, how many magazines will the library be able to buy? Let number of magazines be m. We know that: Cost per magazine * m = Total Cost We're given Total Cost = 8040 and Cost per magazine = 3, so we have 3m = 8040...

You collect stamps. You give steven 21 stamps. At the end youbhave 3. How many stamps did you start with? You start with s stamps. s You give Steven 21. Giving means you subtract from your total: s - 21 You have 3 left s - 21 = 3 To solve this equation for s, we type it in our math engine...

If Bill's salary is $25 and he gets a 20¢ commission on every newspaper he sells, how many must he sell to make $47 Set up bills Earnings function E(n) where n is the number of newspapers he sells: E(n) =. Cost per newspaper * number of newspapers sold + base salary E(n) = 0.2n + 25 We're...

5y^0=15x for y y^0 = 1, so we have: 5(1) = 15x 5 = 15x To solve for x, we type this equation into our search engine and we get: x = 1/3

When 4 times a number is increased by 40, the answer is the same as when 100 is decreased by the number The phrase a number means an arbitrary variable, let's call it x. x 4 times a number means we multiply x by 4: 4x Increased by 40 means we add 40 to 4x: 4x + 40 100 decreased by the number...

Dunder Mifflin will print business cards for $0.10 each plus setup charge of $15. Werham Hogg offers business cards for $0.15 each with a setup charge of $10. What numbers of business cards cost the same from either company Declare variables: Let b be the number of business cards. Set up the...

A tortoise is walking in the desert. It walks at a speed of 5 meters per minute for 12.5 meters. For how many minutes does it walk? Distance formula (d) for a rate (r) and time (t) is: d = rt We're given d = 12.5 and r = 5 12.5 = 5t 5t = 12.5 Solve for t. Divide each side of the equation by...

A cell phone provider is offering an unlimited data plan for $70 per month or a 5 GB plan for $55 per month. However, if you go over your 5 GB of data in a month, you have to pay an extra $10 for each GB. How many GB would be used to make both plans cost the same? Let g be the number of GB...

Given: 9 - 4x = -19 Prove: x = 7 Solve for x in the equation 9 - 4x = - 19 Step 1: Group constants: We need to group our constants 9 and -19. To do that, we subtract 9 from both sides -4x + 9 - 9 = -19 - 9 Step 2: Cancel 9 on the left side: -4x = -28 Step 3: Divide each side of the...

Deon opened his account starting with $650 and he is going to take out $40 per month. Mai opened up her account with a starting amount of $850 and is going to take out $65 per month. When would the two accounts have the same amount of money? We set up a balance equation B(m) where m is the...

You and your friend are playing a number-guessing game. You ask your friend to think of a positive number, square the number, multiply the result by 2, and then add three. If your friend's final answer is 53, what was the original number chosen? Let n be our original number. Square the number...

A man's age (a) 10 years ago is 43. Years ago means we subtract a - 10 = 43 If the problem asks you to solve for a, we type this equation into our math engine and we get: Solve for a in the equation a - 10 = 43 Step 1: Group constants: We need to group our constants -10 and 43. To do that...

993 cold drinks bottles are to be placed in crates. Each crate can hold 9 bottles. How many crates would be needed and how many bottles will remain? Let c equal the number of crates 9 bottles per crate * c = 993 9c = 993 Solve for c in the equation 9c = 993 Step 1: Divide each side of the...

If EF = 9x - 17, FG = 17x - 14, and EG = 20x + 17, what is FG? By segment addition, we know that: EF + FG = EG Substituting in our values for the 3 segments, we get: 9x - 17 + 17x - 14 = 20x + 17 Group like terms and simplify: (9 + 17)x + (-17 - 14) = 20x - 17 26x - 31 = 20x - 17 Solve for x...

Rachel buys some scarves that cost $10 each and 2 purses that cost $16 each. The cost of Rachel's total purchase is $62. What equation can be used to find n, the number of scarves that Rebecca buys Scarves Cost + Purses Cost = Total Cost Calculate Scarves Cost Scarves cost = Cost per scarf *...

Lebron James scored 288 points in 9 games this season. Assuming he continues to score at this constant rate, write a linear equation that represents the scenario. 288 points / 9 games = 32 points per game Let g be the number of games Lebron plays. We build an equation for his season score...

If you divide my brother's age by 3 and then add 20, you will get my age, which is 31. What is my brothers age? Let b be the brother's age. We're given the following relationship for the brother's age and my age: b/3 + 20 = 31 Subtract 20 from each side: b/3 + 20 - 20 = 31 - 20 Cancel the...

Is (9, 6) a solution to the equation y = x - 3? The ordered pair (x, y) = (9, 6) Plug in x = 9 into y = x - 3: y = 9 - 3 y = 6 Yes, (9, 6) is a solution to the equation y = x - 3

you and michael have the sum of 19.75. if michael has 8.25 how much more do you have If you and Michael have 19.75, and Michael has 8.25, then you have: 19.75 - 8.25 = 11.50 Overage/Excess than Michael = Your Money - Michael's money Overage/Excess than Michael = 11.50 - 8.25 Overage/Excess...