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Arte-miy333 [17]
3 years ago
11

alana and petra go to a used book sale, where every book is the same price. Alana buys 5 books and Petra buys 4 books. They run

into their friend Angus, who really loves to read, and discover that he has bought 19 books. Angus received a $10 discount, but he still spent $5 more than Alana and Petra combined. How much does one book cost?
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0
After understanding the problem, formulate equations to determine the unknown. Let x be the price of one book. Equating Alana&Petra's expense with Angus' would be

5x + 4x +5 = 19x - 10

The 5 in the left side is needed because Angus' expense is $5 more. Also, the 10 on the right side represents the $10 discount. Solving the equation,

19x = 9x = 5+10
10x = 15
x = $1.5

Therefore, the book costs $1.5. 
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Which of the following is the weakest r-squared value? Which one is the strongest?
Setler [38]

Answer:

Weakest value = 0.0196

Strongest value = 0.5929

Step-by-step explanation:

Given:

Choices

0.691

-0.14

-0.24

-0.77

Computation:

0.691² = 0.477481

-0.14² = 0.0196

-0.24² = 0.0576

-0.77² = 0.5929

Weakest value = 0.0196

Strongest value = 0.5929

7 0
3 years ago
|-19+9|/3-|14-22|/9<br> give me an answer
MArishka [77]

Answer:22/

9

= 2 4/

9

≅ 2.4444444

Step-by-step explanation:

Add: -19 + 9 = -10

Absolute value: abs(the result of step No. 1) = abs(-10) = 10

Divide: the result of step No. 2 / 3 = 10 / 3 = 3.3333333333333 = 10/

3

Subtract: 14 - 22 = -8

Absolute value: abs(the result of step No. 4) = abs(-8) = 8

Divide: the result of step No. 5 / 9 = 8 / 9 = 0.88888888888889 = 8/

9

Subtract: the result of step No. 3 - the result of step No. 6 = 10/

3

- 8/

9

= 10 · 3/

3 · 3

- 8/

9

= 30/

9

- 8/

9

= 30 - 8/

9

= 22/

9

6 0
2 years ago
a line intersects the point (12,3) and has a slope of 4. what are the inputs to the point slope formula
astraxan [27]

Hey There,

The equation would be y = 4x - 45

Point slope formula

(y-y1)=m(x-x1)

Plug in the numbers

(y-3)=4(x-12)

Solve for y.

4 * x = 4x

4 * -12 = -48

Bring 3 to the other side (change the sign)

-48 +3 = 45

Therefore, the equation would be y = 4x - 45

4 0
3 years ago
Matt and Anna Killian are frequent fliers on​ Fast-n-Go Airlines. They often fly between two cities that are a distance of 1980
Ymorist [56]

Answer:

y (plane speed) 400 miles/hr

x (wind speed)  40 miles/hr

Step-by-step explanation:

going into the wind make the plane flew 5,5 hours to get 1980 miles, implies the real travel speed was

1980 / 5,5 = 360 miles/hours, and at the same time is the result of:  

speed plane (y)  in direction A to B  plus wind speed (x) in direction B to A. Notice opposites direction speed, so we have:

y + (-x) = 360          (1)

The return fly  took 4,5 hours so 1980/4,5 = 440 miles/ hours as the result

Y + x = 440             (2)

We have a two equation with two variables system, It could be solved for any of the procedures. We will use the substitution method.

From equation      (1)        y + (-x) = 360         y  - x = 360      y = 360 + x    (1)

In the second equation    

y + x = 440         then we replace y for its value as function of x

(360 + x ) + x = 440

Solving for x        360 + 2x = 440      or    2x = 440 – 360        

 x   (440 - 360)/2

 x = 40 miles/hr

 X (wind speed ) = 40 miles/hr

And replacing the value of x in eq. (1)        y = 360 + 40 = 400

Y (plane speed) = 400 miles /hr

3 0
3 years ago
A web site charges $0.99 to download a game and a 12.49 membership fee.write an expression that gives the total cost in dollars
icang [17]

Hello!

To write this equation we will use c to represent the total cost, and g to represent however many games you download.

c=12.49+0.99g

The constant rate is 12.49, that will never increase or change in our equation.

Depending on how many games you download, that will be the rate that affects our total cost.

If you only purchase one game, you only spend $13.48. Where as if you buy 10 games, you spend $22.39.

3 0
3 years ago
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