Use Polya's four - step problem - solving strategy, A farmer has 15 animals, some of them pigs and some chickens. Together they have a total of 40 legs. How many pigs and how many chickens does the farmer have?

Q: Kaylee has some marbles. Eric has 3 times as many as Kaylee and Amber has 10 more marbles than Eric.…

A: Given:     Let Kaylee have number of marbles =x    Eric has 3 times as many as Kaylee    =3x…

Q: Flo sets a goal of walking 10,000 total steps per day. Flo normally walks 4,000 steps per day. If…

A: detailed solution is given below

Q: ch of the 10 players on the soccerball team. Each hat cost $4.50. The mom spends a total of $120 for…

A: A mom buys a water bottle and a hat for each of the 10 players on the soccerball team. Each hat…

Q: Justin invested $2,700 in two saving accounts. The first account earned 10% interest and the other…

A:

Q: lincoln has 27 watermelons and he wants to eat one third of a melon a day how many days will it take…

A: Given that lincoln has 27 watermelons and he wants to eat one third of a melon a day

Q: You have 10 cups of cleaning solution that is 10% white vinegar and 90% water. You want the mixture…

A: You have 10 cups of cleaning solution that is 10% white vinegar and 90% water. You want the mixture…

Q: Manufacturing a tricycle requires three wheels and one tricycle frame. If you had 11 wheels and 4…

A: Please see the answer in step 2.

Q: Gabe Amodeo, a nuclear physicist, needs 60 liters of a 60% acid solution. He currently has a 40%…

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Q: The school requires him to have four courses in Physical Education and pass an endurance test. The…

A: Given Julio score in four courses = 98 , 99 , 96, 89  The average of all scores must be 95 Let's…

Q: 3. Aisha is making greeting cards, which she will sell by the box at an arts fair. She paid $20 for…

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Q: chestra, Main, and balcony seating. Orchestra seats sell for $160 main seat sell for $125 and…

A: In this question, the concept of the solution of the linear equation is applied. Solution of Linear…

Q: n a student assembly, the representative are 50 grade 4, 75 grade 5, 100 grade 6 pupils.How many…

A: Number of pupils in grade 4 is 50 Number of pupils in grade 5 is 75 Number of pupils in grade 6 is…

Q: Gabe​ Amodeo, a nuclear​ physicist, needs 60 liters of a 40​% acid solution. He currently has a 30%…

A: GivenGabe Amodeo needs 60 liters of a 40% acidsolution .Let 40% solution =x liters

Q: 2) Jacob and Ming each improved their yards by planting daylilies and ornamental grass. They bought…

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Q: Boris must choose a shirt and a pair of pants for today's outfit. He has  3  shirts and  3  pairs…

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Q: Laura invests $2,000 in a bank account where she earns simple interest at a rate of 6.4% per year.…

A:

Q: A furniture maker makes three-legged stools and four legged tables. In one week she used 37 legs.…

A: A furniture maker makes three-legged stools and four legged tables. In one week, she used 37…

Q: Riding your bike is good exercise. If your goal is to ride your bike a total of 140 laps around the…

A:

Q: A scientist mixes water (containing no salt) with a solution that contains  35%  salt. She wants to…

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Q: i watched a total of 68 videos and algebra tutorial videos on youtube yesterday. if i watched three…

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Q: Brittany has $2.52 in coins. She has three quarters, six nickels, some dimes, and four more pennies…

A: Find the solution below

Q: group of college students are going to a lake house for the weekend and plan on renting small cars…

A: We are given: Number of people hold in a small and large car are 4 and 7 respectively.

Q: profit. How much did he invest in Fund B, if both funds together returned a 4% profit?

A: Let 'x' be the amount Kevin invested in Fund B yielding a profit of 6% Given that $4000 is the…

Q: I want to make a bunch of fresh pasta and I have 2 pounds of flour. How many pounds of eggs do I…

A: Lets say you make x pounds of pasta. now since it have 3 parts of flour and 2 parts of egg, hence…

Q: Maria saves all her nickels and dimes in a jar on her desk. When she counts her money, she finds…

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Q: four - step problem - solving strategy, If two ladders are placed end to end, their combined height…

A:

Q: Jill, an employee at Old Navy, budgets 1515 of her yearly salary for clothing. Jill’s total clothing…

A: Given Jill total clothing bill for the year is $8,000 We have to find the Jill's yearly salary. Let…

Q: Linda is planning a trip to Europe to visit some friends. She has 12 blouses, 6 pairs of jeans, and…

A: Here concept of permutations and combinations is required to be used

Q: Autumn runs a restaurant that sells two kinds of pies. Autumn knows the restaurant must make at…

A: Let x and y be the number of dozens of Mint Breezes and Caramel Twists respectively. Autumn knows…

Q: Mukul has $3.75 in quarters, dimes and nickels in his pocket. He has five more dimes than quarters…

A: Mulkul has $3.75 in quarters, dimes and nickels        in his pocket. He has five more…

Q: Tyler wants to send his cousin 5 books that are each 1500 grams. He has a box that can hold up to 6…

A:

Q: Demothi is baking cookies for a bake sale. He is making chocolate chip and oatmeal raisin cookies.…

A: Let me make oatmeal raisin cookie be 'x' and given chocolate cookies are one-third of oatmeal raisin…

Q: ary has $ 36 worth of pizza delivered to his house . He pays the bill plus 12 % tip and 5 % sales…

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Q: Cunning Coyote is in a race with Joe Jackrabbit. They both take the same size steps, but the coyote…

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Q: Jarvy sells apples. He sold half his apples plus half an apple last Monday. Then he sold half his…

A: let us assume that Jarvy has x number of apples.  He sold half of his apples plus half an apple last…

Q: Five roommates share the cost of an apartment: rent, electricity, and gas. Rent costs $1,800/month…

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Q: By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 301 mg of cholesterol. If the…

A: We are given with three different combinations of egg, cupcake and pizza for cholesterol. So, we…

Q: Jessica has twice as much money as Matthew. Jessica has four times as much money as Sam. Sam has $7…

A: Given, Jessica has twice as much money as Matthew. Jessica has four times as much money as Sam. Sam…

Q: Justin is making snow ball to build a fort in the winter break Justin can build 15 snow ball in an…

A: Given that In 1 hour, Justin can build 15 snow ball. In every 15 minutes 2 snowball melts. Let y be…

Q: A small movie theater sells adults and kids snack packs. On Sunday they sold 60 snack packs for a…

A: Given, Total number of snack packs=60 Total cost for sellings of snack packs=$366 Let, the total…

Q: Two boys weighing 60 pounds and 80 pounds balance a seesaw. How many feet from the fulcrum must the…

A: For balance a seesaw, clockwise moment and anticlock wise remain same.

Q: Judy is going on vacation and taking her dog Pickles along. Pickles eats 4 cups of Hungry Hound dog…

A: Given: Pickles eats 4 cups of Hungry Hound dog food each day.

Q: Ramsey is enrolled in 3 classes: Economics, Math, and Geography. He is trying to decide how to…

A: In equation we are equating two sides left hand side and right hand side. It contains variable,…

Q: Keiko is mailing packages. Each small package cost $2.70 to send. Each large package cost $3.40. How…

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Q: Coco has a jar containing pennies and nickels. There is $9.20 worth of coins in the jar. If she…

A: Solution:-

Q: You are replacing your regular shower head with a water-saving shower head. These shower heads use…

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Q: A paint that contains 21% green dye is mixed with a paint that contains 15% green dye. How many…

A: Given that a paint that contains 21% green dye is mixed with a paint that contains 15% green dye. To…

Q: Romy’s dad is doing Grocery shopping. He wants to buy two milks gallons for $4 each, three cereal…

A: Add all price

Q: A vendor had a basket of water melons. Her first costumer said, " sell me half of your water melons…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.