MATHEMATICS MIDDLE SCHOOL

Jimmy is selling used books at a yard sale. A customer buys 9 books at a cost of $0.75 each and pays with a $20.00 bill. Jimmy must determine c, the amount of change in dollars he should give the customer. Which equation represents c?mc017-1.jpg
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Answers

Answer 1
Answer:

Answer: .75(9)+c=20

Explanation: Took the quiz

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What is the value of the coefficient 2x^3+18x^2-18x-162=2(x+k)(x-k)(x+9)

Answers

The polynomial
2x^3+18x^2-18x-162=(2x^3+18x^2)-(18x+162)=
=2x^2(x+9)-18(x+9)=2(x+9)(x^2-9)=2(x+9)(x+3)(x-3).
Then k=3.

Given the following system of equations: 2x + 6y = 12 4x + 3y = 15 Which action creates an equivalent system that will eliminate one variable when they are combined? Multiply the second equation by −2 to get −8x − 6y = −30. Multiply the first equation by 2 to get 4x + 12y = 24. Multiply the second equation by −4 to get −16x − 12y = −60. Multiply the first equation by −4 to get −8x − 24y = −48.

Answers

Answer:

Multiply the second equation by −2 to get −8x − 6y = −30.

Step-by-step explanation:

we have

----> first equation

----> second equation

Solve by elimination

Multiply the second equation by -2 both sides

---> equivalent second equation

Adds first equation and the equivalent second equation

Find the value of y

substitute the value of x in any of the equation

the solution of the system is the point (3,1)

If 80% is 60 marks, what is full marks?

Answers

Well, f 80% is 60 marks, you'll need 20% more to make it full, so it would be 15 more marks, which would be 75 total marks = 100% =)
I hope I helped! =D
if 80% is 60...20% is 15...so x5.....100%=75 is the answer

If 4x + 5y =10 and x + 3y = 8, then (5x+8y)/3(A) 18
(B) 15
(C) 12
(D) 9
(E) 6

Answers

\left \{{ \big{4x + 5y =10} \atop \big{x + 3y = 8}} \right.\n-----------\n4x+5y+x+3y=10+8\n5x+8y=18\n\n \frac{\big{ 5x+8y}}{\big{3}}=\frac{\big{ 18}}{\big{3}}=6\ \ \ \Rightarrow\ \ \ Ans.\ E
\left \{ {{4x + 5y =10} \atop {x + 3y = 8}} \right. \Rightarrow \n \n \left \{ {{4x + 5y =10} \atop {(-4)x + (-4).3y = (-4)8}} \right. \Rightarrow \n \n \left \{ {{4x + 5y =10} \atop {-4x -12y = -32}} \right. \Rightarrow \n \n \n 5y-12y=10-32 \Rightarrow \n \n -7y=-22\Rightarrow \n \n y= (22)/(7)

y= (22)/(7) \wedge x+3y=8\Rightarrow \n \n x+3.(22)/(7)=8\Rightarrow - (10)/(7)

(5x+8y)/(3) = \n \n (5(- (10)/(7))+8.(22)/(7))/(3) = \n \n ( -(50)/(7)+ (176)/(7))/(3)= \n \n ( (126)/(7))/(3) = (18)/(3)=6

Saul got 19 out of 25 on the test. Cindy got 79% on a same test which student got the higher mark?

Answers

19 divided by 25= .76  (.76x100= 76%)
Sal=76%
Cindy=79%
Cindy got higher grade
When you cross multiply ....19/25=x/100.....you get "x" equalls 76%. So Saul scored a 76% and Cindy scored a 79%. Now you tell me, who got the higher mark? (;

A boat can travel 132 miles on 11 gallons of gasoline.how much gasoline will it need to go 252 mileswhat do I do?

Answers

rate is miles/gallons
132/11=12 mile pser 1 galon
ratio and propeortion
132/11=252/xgalons
12/1=252/x
multiply both sides by x
12x=252
divide both sides by 12
x=21

21 gallons
132/11=12per gallon'

12*11=132

252/12=21

21*12=252

11+11=21

21 is your answer
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