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Find x Since both angles are congruent, we set them equal to each other: 6x - 20 = 4x To solve for x, we type this equation into our math engine and we get: x = 10

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost? Let the number of pencils be p. We have: 7p + 10 = 24 To solve this equation for p, we type it in our math engine and we get: p = 2

Juan is going on a flight to the beach. his luggage weighs 36 pounds. The bag weighs 4 pounds more than the weight of 2 small bags of beach toys. Which equation can be used to find the weight in pounds of each bag of beach toys? Let b be the weight of each bag of beach toys. We're given the...

a bicycle store costs $3600 per month to operate. The store pays an average of $60 per bike. the average selling price of each bicycle is $100. how many bicycles must the store sell each month to break even? Cost function C(b) where b is the number of bikes: C(b) = Variable Cost + Fixed Cost...

Is (1, 3) a solution to the equation y = 3x? Plug in x = 1 into y = 3x: y = 3(1) y = 3 The answer is yes, (1, 3) is a solution to y = 3x

nandita earned $224 last month. she earned $28 by selling cards at a craft fair and the rest of the money by babysitting. Complete an equation that models the situation and can be used to determine x, the number of dollars nandita earned last month by babysitting. We know that: Babysitting +...

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost? Let p be the number of pencils. We're given the following equation: 7p + 10 = 24 To solve this equation for p, we type it in our math engine and we get: p = 2

Does the point (3, 0) satisfy the equation y = x? plug in x = 3 and y = 0 into y = x 0 = 3 which is false. No, it doesn't satisfy the equation

Write the sentence as an equation. 19 is equal to c less than 321 c less than 321: 321 - c The phrase is equal to means an equation, so we set 321 - c equal to 19: 321 - c = 19

Charlie has $2700 in his bank account. He spends $150 a week. How many weeks will have passed when Charlie has $600 in his bank account? Let w be the weeks that pass. We have the following equation for Charlie's balance: 2700 - 150w = 600 To solve for w, we type this equation into our math...

You practice the piano for 30 minutes each day. Write and solve an equation to find the total time t you spend practicing the piano in a week. Since there is 7 days in a week, we have: t = 30 * 7 t = 210

The difference between a number and 9 is 27. Find that number The phrase a number means an arbitrary variable, let's call it x: x The difference between a number and 9 x - 9 The word is means equal to, so we set x - 9 equal to 27: x - 9 = 27 To solve this equation for x, we type it in our...

At the 2002 Winter Olympics, Austria won 2 gold medals. This was 1/8 of the total medals Austria won. How many did Austria win? Let t be the total medals Austria won. We have: 2 = x/8 Cross multiply, we get: x = 2 * 8 x = 16

Length (l) is the same as width (w) and their product is 64. We're given 2 equations: lw = 64 l = w Substitute equation (2) into equation (1): w * w = 64 w^2 = 64 w = 8 Since l = w, then l = 8

A fraction has a value of 3/4. If 7 is added to the numerator, the resulting fraction is equal to the reciprocal of the original fraction. Find the original fraction. Let the fraction be x/y. We're given two equations: x/y = 3/4 (x + 7)/y = 4/3. (The reciprocal of 3/4 is found by 1/(3/4) Cross...

spent $19.05. ended with $7.45. how much did you start with? Let s be the amount we started with. We're given: s - 19.05 = 7.45 To solve this equation for s, we type it in our math engine and we get: s = 26.5

Your profit for mowing lawns this week is $24. You are paid $8 per hour and you paid $40 for gas for the lawn mower. How many hours did you work this week? We know profit from the equation below: Revenue - Cost = Profit We're given Profit as 42, so we have: Revenue - Cost = 42 Let hours...

evelyn needs atleast $112 to buy a new dress. She has already saved $40 . She earns $9 an hour babysitting. How many hours will she need to babysit to buy the dress? Let the number of hours be h. We have the earnings function E(h) below E(h) = hourly rate * h + current savings E(h) = 9h + 40...

the average of eighty-five and a number m is ninety Average of 2 numbers means we add both numbers and divide by 2: (85 + m)/2 = 90 Cross multiply: m + 85 = 90 * 2 m + 85 = 180 To solve this equation for m, we type it in our math engine and we get: m = 95

Angie is 11, which is 3 years younger than 4 times her sister's age. Let her sister's age be a. We're given the following equation: 4a - 3 = 11 To solve for a, we type this equation into our math engine and we get: a = 3.5