answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dimaraw [331]
2 years ago
12

Casey is reading a book for a book report. At 3:30 P.M., he started reading where he had left off the day before. At 5:30 P.M. h

e was on page 160. At 8:00 P.M. he was on page 280. If reading the book is modeled by a linear function, what page did Casey start on at 3:30 P.M.?
Mathematics
1 answer:
kifflom [539]2 years ago
5 0
At 3.30 pm he started reading where he left off.

At 5.30 pm he is at page 160

At 8.00 pm he is at page 280

Between 5.30 pm and 8.00 pm he has covered  = 280 - 160 = 120 pages

That is in between (8.00 - 5.30) = 2 hours 30 minutes = 2 and 1/2 hours

= 2.5 hours

Therefore he covered 120 pages in 2.5 hours, this would be used to set up the linear function.

Between 3.30 pm and 5.30 pm is (5.30 - 3.30) = 2 hours

We need to find how many pages can be covered in 2 hours.

In 2.5 hours      120 pages were covered.

In 1 hour      =    120 / 2.5 =  48 pages.

In 2 hours    =    48 * 2 = 96 pages.

If he went at the same rate, that means at 2 hours before 5.30 which is the 3.30, he would have covered 96 pages

Page number =  160 - 96 = 64,  Since he was at 160 at 5.30

So he started at page 64 at 3:30 pm
You might be interested in
How many intersections are there of the graphs of the equations below? One-halfx + 5y = 6 3x + 30y = 36 none one two infinitely
Sergeu [11.5K]

Answer:

infinitely many

Step-by-step explanation:

You have the system

(1/2)x + 5y = 6

  3x  + 30y = 36

Multiplying the first equation by 6 results in 3x + 30y = 36, which is exactly the same as the second equation.  The two graphs coincide, and so there are infinitely many solutions to this system

4 0
2 years ago
Read 2 more answers
At a particular restaurant, each chicken wing has 80 calories and each
dexar [7]

Answer:

4 Sliders 2 chicken wings

Step-by-step explanation:

4x300=1200 2x80=160

6 0
2 years ago
If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal
Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that 2x^2+y^2=17

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

4x+2yy'=0

2x+yy'=0

yy'=-2x

y'=-\frac{2x}{y}

Again differentiate w.r.t.x

Then , we get

2+(y')^2+yy''=0 (u\cdot v)'=u'v+v'u)

2+(y')^2+yy''=0

Using value of y'

yy''=-2-(-\frac{2x}{y})^2

y''=-\frac{2+(-\frac{2x}{y})^2}{y}

Substitute x=2 and y=3

Then, we get y''=-\frac{2+(\frac{4}{3})^2}{3}

y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}

Hence,y''=-1.26

6 0
2 years ago
Omar and Caleb each had a repair made on their cars. The initial cost of each repair is $1,000. Omar and
nataly862011 [7]

Answer:

Caleb paid less than Omar by $12.

Step-by-step explanation:

The initial cost of each repair is $1,000.

One  coupon is for $80 off the repair cost. The other coupon is for 15% off the repair cost.

Case 1:

Omar uses the $80 off the repair cost coupon first. He then uses the 15% off the repair cost coupon on  the remaining balance.

Step 1: 1000-80=920

Step 2: 920-(0.15\times920)=782 dollars

Case 2:

Caleb uses the 15% off the repair cost coupon first. He then uses the $80 off the repair cost coupon on  the remaining balance.

Step 1: 1000-(0.15\times1000)=850

Step 2: 850-80=770 dollars

Now, comparing the values we can see that Caleb paid less.

He paid less by 782-770=12 dollars.

8 0
2 years ago
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $15
daser333 [38]

Answer:

The correct option is;

1560 = 30(52) + b

Step-by-step explanation:

The cost of the first job = $1,200 in labor and expenses

The number of hours worked in the first job = 40

The second job costs $1,560 in labor and expenses

The number of hours worked in the second job = 52

If the cost of labor per hour = L and the expenses = b, we have;

$1,200 = 40×L + b......................(1)

$1,560 = 52×L + b.......................(2)

Subtracting equation (1) from (2), we have;

52×L + b - (40×L + b) =  52×L - 40×L + b - b = $1,560 - $1,200 = $360

12×L = $360

L = $360/12 = $30/hour

From equation (1), we have;

$1,200 = 40×L + X =  40×$30 + b

Therefore, the equation that can be used to calculate the y-intercept of the linear equation is either;

1200 = 40(30) + X or 1560 = 32(52) + b, which gives the correct option as 1560 = 32(52) + b

6 0
2 years ago
Other questions:
  • A pencil and a ruler cost $1.50 together. The ruler costs $1.00 more than the pencil. How much does the pencil cost?
    14·2 answers
  • Which statement proves that the diagonals of square PQRS are perpendicular bisectors of each other? The length of SP, PQ, RQ, an
    6·2 answers
  • Dao receives an employee discount on the purchase of a new automobile. The automobile that he is interested in has a sticker pri
    11·3 answers
  • Miranda and Jean are planning a trip together. They want to drive, but they’re not sure whose car to take. Jeans’s car uses 5/12
    11·1 answer
  • Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers (k) she can drive with 12 li
    15·2 answers
  • R is inversely proportional to A R = 12 when A = 1.5 a) Work out the value of R when A = 5 b) Work out the value of A when R = 9
    8·1 answer
  • 5. How long will it take Greg to earn $500.00? Round to the nearest hour​
    7·1 answer
  • Suppose the coefficient matrix of a system of linear equations has a pivot position in every row. Explain why the system is cons
    12·1 answer
  • How to prove these are congruent
    7·1 answer
  • When Hiroto is writing, there is 0.92 probability that there will be no spelling mistakes on a page. One day, Hiroto writes an e
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!