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Hannah has to make 25 gallons of punch for a potluck. The punch is made of soda and fruit drink. The cost of the soda is $1.79 per gallon, and the cost of the fruit drink is $2.49 per gallon. Hannah's budget requires that the punch cost $2.21 per gallon. How many gallons of soda and how many gallons of fruit drink does she need?
General
2 months ago
Hannah was shopping for a summer dress at a store near her home. On the rack where she found the dress she wanted, she saw two signs. The first one read, "Clearance: 15% off." The second one read, "$10 off—Instant Savings." The original price of the dress was $65.00. Hannah lives in Oregon, where there is no sales tax.
General
2 months ago
Solve for x in the equation x squared +2x +1= 17
General
2 months ago
If neither a nor b are equal to zero, which answer most accurately describes the product of (a + bi)(a - bi)?The real part is not positive.The imaginary part is positive.The real part is zero.The imaginary part is zero.
General
2 months ago
A stone arch in a bridge forms a parabola described by the equation y = a(x - h)2 + k, where y is the height in feet of the arch above the water, x is the horizontal distance from the left end of the arch, a is a constant, and (h, k) is the vertex of the parabola.Image descriptionWhat is the equation that describes the parabola formed by the arch?
General
2 months ago
❗️50 points❗️5 √7+ √7-2 √7
General
2 months ago
You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 125 km south and 135 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier? Convert hours into minutes in the final solution.
General
2 months ago
If you ride your bike at an average speed of 15 mph, how long will it take you to ride to your grandparents’ home? Express your answer in hours (to the nearest hundredth of an hour). Convert to minutes (to the nearest minute).You have to go 3.67mi
General
2 months ago
L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether, they sold 486 items that totaled $2,673.a. If the chess club sold each item for the same price, calculate the price of each item.b. Explain the value of each digit in your answer to 1(a) using place value terms.
General
2 months ago
6,240 is divisible bya. 3b. 9c. 8Explain your reasoning for your choice(s).
General
2 months ago
Clive is making hamburgers for a cookout. How many 1/4- pounds hamburgers can he make from 2 and 3/4 pounds of ground beef
General
2 months ago
A manufacturer of computer printers purchases plastic ink cartridges from a vendor. When a large shipment is received, a random sample of 230 cartridges is selected, and each cartridge is inspected. If the sample proportion of defective cartridges is more than 0.02, the entire shipment is returned to the vendor. (a) What is the approximate probability that a shipment will be returned if the true proportion of defective cartridges in the shipment is 0.06? (Round your answer to four decimal places.) (b) What is the approximate probability that a shipment will not be returned if the true proportion of defective cartridges in the shipment is 0.10? (Round your answer to four decimal places.) 0
General
2 months ago
Suppose the supply curve of portable radio rentals in Golden Gate Park is given by P = 5 + 0.1Q, where P is the daily rent per unit in dollars and Q is the volume of units rented in hundreds per day. The demand curve for portable radios is P = 20 – 0.2Q. a. If each portable radio imposes $3 per day in noise costs on others, by how much will the equilibrium number of portable radios rented exceed the socially optimal number?
General
2 months ago
Suppose you are talking with your friend, and he is bragging about how smart he is. He tells you about how he scored a 1,200 on his SAT. Then he wants to compare SAT scores with you. However, you took the ACT and scored a 27. Comparing ACT and SAT test scores would be like comparing apples to oranges, since each exam uses different scales.Assume that the mean SAT score is 1,025 with a standard deviation of 200. Furthermore, the ACT mean score is 21 with a standard deviation of 5.8.Use z-scores to convert his SAT score and your ACT score and compare them. What are the scores and who did better?
General
2 months ago
Two ships leave the same dock at noon. The angle between the ships when they left the dock was 16 ∘ and remains constant. If one ship travels at a rate of 13 km/hr and and the other ship travels at a rate of 17 km/h. Find the rate at which the distance between the two ships is changing when it's 5:00 pm. Express your answer in km/hr.
General
2 months ago
How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?
General
2 months ago
Ms. Landry charges $40 an hour with a $5 flat fee for tutoring. Ms. Bowman charges $30 an hour with a flat fee of $10 to tutor. Which equation represents the situation when the cost is the same to be tutored by Ms. Landry and Ms. Bowman, where h is hours? A) 40h + 30h = 5 + 10 B) 40h + 30h = 10 − 5 C) 40h + 5 = 30h + 10 D) 40h + 10 = 30h + 5
General
2 months ago
The perimeter of each face of a Rubix’s cube is 22.2 centimeters. What is the Length (in centimeters) of an edge of a Rubix’s cube
General
2 months ago
What is the equation, in standard form, of a parabola that contains the following points?(-2, -20), (0, -4), (4, -20)A) y = -2.5x^2 + 5xB) y = -x^2 + 4x - 4C) y = -2x^2 +4x - 4D) y = -2.25x^2 + 4.5x - 2
General
2 months ago
A store sells two types of toys, A and B. The store owner pays $8 and $14 for each one unit of toy A and B respectively. One unit of toys A yields a profit of $2 while a unit of toys B yields a profit of $3. The store owner estimates that no more than 2000 toys will be sold every month and he does not plan to invest more than $20,000 in inventory of these toys. How many units of each type of toys should be stocked in order to maximize his monthly total profit?
General
2 months ago
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