1:

\(x=y=5,\ and\ 2x+5.5y+17\)

2:

\(x=5-y\ and\ x=8.5-2.75y\)

3:

\(|y|x(1)|x(2)|\)

\(|0|5|8.5|\)

\(|1|4|5.75|\)

\(|2|3|3|\)

\(|3|2|0.25|\)

\(|4|1|-2.5|\)

You bought 3 one-pound bags and 2 three-pound bags.

Question

asked 2021-01-31

A roadside vegetable stand sells pumpkins for $5 each and squashes for $3 each. One day they sold 6 more squash than pumpkins, and their sales totaled $98. Write and solve a system of equations to find how many pumpkins and quash they sold?

asked 2021-02-01

A coffee merchant sells three blends of coffee. A bag of houseblend contains 300 grams of Colombian beans, 50 grams of Kenyanbeans, and 150 grams of French roast beans. A bag of specialblend contains 200 grams of Colombian beans, 200 grams of Kenyanbeans, and 100 grams of French roast beans. A bag of Gourmet blend contains 100 grams of Colombian beans, 350 grams of Kenyanbeans and 50 grams of French roast beans. Merchant has on hand 30kg of Colombian beans, 15 kg of Kenyan beans and 15 kg of French roast beans. One bag of the house blend produces profit of $0.50 , onebag of the Special blend produces a profit of $1.50, and one bag ofthe gourmet blend produces a profit of $2.00. How many bags of eachtype should the merchant prepare if he wants to use up all of thebeans and maximize his profit? What is the maximum profit?

asked 2021-04-13

As depicted in the applet, Albertine finds herself in a very odd contraption. She sits in a reclining chair, in front of a large, compressed spring. The spring is compressed 5.00 m from its equilibrium position, and a glass sits 19.8m from her outstretched foot.

a)Assuming that Albertine's mass is 60.0kg , what is \(\displaystyle\mu_{{k}}\), the coefficient of kinetic friction between the chair and the waxed floor? Use \(\displaystyle{g}={9.80}\frac{{m}}{{s}^{{2}}}\) for the magnitude of the acceleration due to gravity. Assume that the value of k found in Part A has three significant figures. Note that if you did not assume that k has three significant figures, it would be impossible to get three significant figures for \(\displaystyle\mu_{{k}}\), since the length scale along the bottom of the applet does not allow you to measure distances to that accuracy with different values of k.

a)Assuming that Albertine's mass is 60.0kg , what is \(\displaystyle\mu_{{k}}\), the coefficient of kinetic friction between the chair and the waxed floor? Use \(\displaystyle{g}={9.80}\frac{{m}}{{s}^{{2}}}\) for the magnitude of the acceleration due to gravity. Assume that the value of k found in Part A has three significant figures. Note that if you did not assume that k has three significant figures, it would be impossible to get three significant figures for \(\displaystyle\mu_{{k}}\), since the length scale along the bottom of the applet does not allow you to measure distances to that accuracy with different values of k.

asked 2020-11-09

A store sells small notebooks for $8 and large notebooks for $10. If you buy 6 notebooks and spend $56, how many of each size notebook did you buy?

asked 2020-10-19

A nut wholesaler sells a mix of peanuts and cashews.

The wholesaler charges $2.80 per pound for peanuts and $5.30 per pound for cashews.

The mix is to sell for $3.30 per pound.

How many pounds of peanuts and how many pounds of cashews should be used to make 100 pounds of the mix?

The wholesaler charges $2.80 per pound for peanuts and $5.30 per pound for cashews.

The mix is to sell for $3.30 per pound.

How many pounds of peanuts and how many pounds of cashews should be used to make 100 pounds of the mix?

asked 2021-06-09

If you flip a coin 9 times, you get a sequence of Heads (H) and tails (T).

Solve each question

(a) How many different sequences of heads and tails are possible?

(b)How many different sequences of heads and tails have exactly fiveheads?

c) How many different sequences have at most 2 heads?

Solve each question

(a) How many different sequences of heads and tails are possible?

(b)How many different sequences of heads and tails have exactly fiveheads?

c) How many different sequences have at most 2 heads?

asked 2021-05-02

Solve each system of equation. Then, check the solutions by substituting them into the original equations to see if the equations are true.

\(x+2y=8. x=-5\)

\(x+2y=8. x=-5\)

asked 2021-05-04

When a gas is taken from a to c along the curved path in the figure (Figure 1) , the work done by the gas is W = -40 J and the heat added to the gas is Q = -140 J . Along path abc, the work done by the gas is W = -50 J . (That is, 50 J of work is done on the gas.)

I keep on missing Part D. The answer for part D is not -150,150,-155,108,105( was close but it said not quite check calculations)

Part A

What is Q for path abc?

Express your answer to two significant figures and include the appropriate units.

Part B

f Pc=1/2Pb, what is W for path cda?

Express your answer to two significant figures and include the appropriate units.

Part C

What is Q for path cda?

Express your answer to two significant figures and include the appropriate units.

Part D

What is Ua?Uc?

Express your answer to two significant figures and include the appropriate units.

Part E

If Ud?Uc=42J, what is Q for path da?

Express your answer to two significant figures and include the appropriate units.

asked 2020-10-20

When writing a system of equations or inequalities from a situation, how do you know that you have possibly written the system correctly?

asked 2021-02-12

Manuel has $54 to buy CDs and books. Each CD costs $9, and each book costs $6. He wants to buy exactly 7 items to spend all of his money. Write a system of equations that could be solved to determine the number of CDs and the number of books Manuel buys.