Bob travels from Inglewood to Anytown; a distance of 20 kilometres. He walks 800 metres and cycles the rest of the way. What percentage of the journey does he travel by bicycle? Question solved general 4 months ago 1305
Divide using long division. check your answers. 1. (x 3 – 13x 2 + 7x – 48) ÷ (x 2 + 3) 3. (x 3 + 5x 2 – 3x – 1) ÷ (x – 1) 5. (x 2 – 3x + 1) ÷ (x – 4) determine whether each binomial is a factor of x 3 + 3x 2 – 10x – 24. 7. x + 4 9. x – 3 divide using synthetic division. 13. (–2x 3 + 15x 2 – 22x – 15) ÷ (x – 3) Question solved general 4 months ago 7341
The volume of a barrel of oil is calculated as 257,166 cm³. Round this figure to the nearest hundred thousand. Question solved general 4 months ago 8903
Given two vectors a⃗ =4.00i^+7.00j^ and b⃗ =5.00i^−2.00j^ , find the vector product a⃗ ×b⃗ (expressed in unit vectors). what is the magnitude Question solved general 4 months ago 9470
Find a polar equation of the form r=f(θ) for the curve represented by the cartesian equation x=−y2. Question solved general 4 months ago 8245
A farmer kept 96 kilograms of animal feed in his barn. The barn leaked and 1/10 of the feed was wasted. How much animal feed was left? Question solved general 4 months ago 7171
A box with an open top has vertical sides, a square bottom, and a volume of 108 cubic meters. if the box has the least possible surface area, find its dimensions. (in your answer leave a space between the number and the unit.) Question solved general 4 months ago 7381
In problems 16-20, calculate the expected price in the year 2008 if you assume that there was a consistent 5% inflation rate and use the given 1988 price. answers should be rounded to the nearest penny. 16. median salary, $27,225 17. gallon of gas, $1.08 18. dozen eggs, $0.89 19. movie admission, $3.50 20. mcdonalds hamburger, $0.62 Question solved general 4 months ago 7402
Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. the back of the truck is 333333 inches tall and the ramp is 656565 inches long. 3333xx\text{back of truck}back of truck6565 what is the horizontal distance from the end of the ramp to the back of the truck Question solved general 4 months ago 6349
The wholesale price for a shirt is $ 6.50 . A certain department store marks up the wholesale price by 60 % . Find the price of the shirt in the department store. Round your answer to the nearest cent, as necessary. Question solved general 4 months ago 4402
Sonia has $675,000 she wants to save. If the FDIC insurance limit per depositor, per bank, is $250,000, which of these ways of distributing her money between three banks will guarantee that all of her money is insured? Question solved general 4 months ago 5409
Emily has 8 coins in her purse totaling 50 cents. The only kinds of coins she has are nickels and dimes. How many nickels does Emily have? Question solved general 4 months ago 1864
A gallon of milk weighs eight pounds, so you wouldn't try to carry three or four gallons home on your bicycle. gasoline is a bit less dense than milk—oil floats on water—and 6 pounds per gallon of gasoline is about right. a typical u.s. "car" (whatever it is we drive—averaging somewhere between a prius and a hummer, and including a lot of pickup trucks and minivans) gets about 20 miles per gallon, and drives about 12,000 miles. so, how many gallons of gas per year? Question solved general 4 months ago 2397
A fast-food restaurant offers 7 different burgers, 5 different side orders, 8 different flavor drinks, and 8 different flavors of ice cream. in how many ways can a combo containing 3 burgers, 2 different sides, 3 different flavor drinks, and 2 ice cream flavors be made? Question solved general 4 months ago 5962
A certain species of bacteria grows at a rate of 48% per day. There are 500 initially, therefore the equation is y = 500(1.48)t. Write an equation for the amount of bacteria in terms of hours. Question solved general 4 months ago 1706
The following table shows the data collected from 2 random samples of 100 students each from an after-school club regarding their favorite outdoor activity: Sample Canoeing Bike Racing Reading Total 1 40 35 25 100 2 45 40 15 100 Which of the following observations can be made about the number of students in the club who prefer canoeing? It is more than the number of students who prefer bike racing and reading combined. It is less than the number of students who prefer bike racing and reading combined. It is equal to the number of students who prefer reading. It is less than the number of students who prefer bike racing. Question solved general 4 months ago 4959
The table below shows the amount of money, in cents, Celine had in her savings account after different number of years:Years 2 5 1 4 6 3Money in cents 36 972 12 324 2,916 108What will be the amount of money, in cents, that Celine will save in 12 years? Question solved general 4 months ago 6023
In a school building, there are 8 exterior doors and 12 stairways to enter the second floor. Find a total number of ways to reach the second floor Question solved general 4 months ago 3570
The Davidson family wants to expand its rectangular patio, which currently measures 15 ft by 12 ft. They want to extend the length and width the same amount to increase the total area of the patio by 160 ft2. Which quadratic equation best models the situation? A = lw (15)(12) + (x)(x) = (15)(12) + 160 (15x)(12x) = (15)(12) + 160 2(15 + x) + 2(12 + x) = (15)(12) + 160 (15 + x)(12 + x) = (15)(12) + 160 Question solved general 4 months ago 6728
Complete the work shown to find a possible solution of the equation. (x-5)^1/2+5=2 Question solved general 4 months ago 4224