1answer.
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
yan [13]
3 years ago
9

Madison and Allie have a goal to read 3,300 pages together by the end of 3rd quarter. Madison reads 50 page every day Allie read

s 10 more pages every day then madison
Mathematics
1 answer:
alex41 [277]3 years ago
5 0

Question:

Madison and Allie have a goal to read 3,300 pages together by the end of 3rd quarter. Madison reads 50 page every day Allie reads 10 more pages every day than Madison reads. Write and solve an equation to show how many days it will take them to read 3,300 pages

Answer:

It will take 30 days for them to read 3,300 pages

Step-by-step explanation:

Given:

The total number of pages to be read  =  3300 pages

Number of pages Madison reads  =  50 page every day

Number of pages Allie reads  = 1 0 more pages every day than Madison reads

To Find:

Total Number of days needed to read 3300 pages = ?

Solution:

Let the number days they will take be x

then

Number of pages Madison read per day (x)  + Number of pages Allie read per day(x) = 3300

(50)x + (50 +10) x = 3300

50x + 60x = 3300

110x = 5500

x =\frac{5500}{110}

x = 30

You might be interested in
Order the following numbers from least to greatest.<br> 64 cubicle root 18 cubicle root 4.2
Mrrafil [7]
It would be 4.2, 19 cubic root, and 64 cubic root (least to greatest)
3 0
3 years ago
What is the area of the parallelogram QRST?
jonny [76]

\text{Area of parallelogram QRST} =  QR \times TU = 20 ~in \times 18~in =360 in^2

8 0
2 years ago
1. (a) Solve the differential equation (x + 1)Dy/dx= xy, = given that y = 2 when x = 0. (b) Find the area between the two curves
erastova [34]

(a) The differential equation is separable, so we separate the variables and integrate:

(x+1)\dfrac{dy}{dx} = xy \implies \dfrac{dy}y = \dfrac x{x+1} \, dx = \left(1-\dfrac1{x+1}\right) \, dx

\displaystyle \frac{dy}y = \int \left(1-\frac1{x+1}\right) \, dx

\ln|y| = x - \ln|x+1| + C

When x = 0, we have y = 2, so we solve for the constant C :

\ln|2| = 0 - \ln|0 + 1| + C \implies C = \ln(2)

Then the particular solution to the DE is

\ln|y| = x - \ln|x+1| + \ln(2)

We can go on to solve explicitly for y in terms of x :

e^{\ln|y|} = e^{x - \ln|x+1| + \ln(2)} \implies \boxed{y = \dfrac{2e^x}{x+1}}

(b) The curves y = x² and y = 2x - x² intersect for

x^2 = 2x - x^2 \implies 2x^2 - 2x = 2x (x - 1) = 0 \implies x = 0 \text{ or } x = 1

and the bounded region is the set

\left\{(x,y) ~:~ 0 \le x \le 1 \text{ and } x^2 \le y \le 2x - x^2\right\}

The area of this region is

\displaystyle \int_0^1 ((2x-x^2)-x^2) \, dx = 2 \int_0^1 (x-x^2) \, dx = 2 \left(\frac{x^2}2 - \frac{x^3}3\right)\bigg|_0^1 = 2\left(\frac12 - \frac13\right) = \boxed{\frac13}

7 0
2 years ago
Is 2/8 more than 1/2 not really sure about that
77julia77 [94]
It's a trick question. 1/2 is more than 2/8/ 
6 0
3 years ago
Read 2 more answers
10 = 43 – |17p + 12|
Kaylis [27]

10=43–|17p+12|

You won't use the absolute sign here. Since you cannot add variable to number AND there are no negatives.

10=43–|17p+12|

10=43–17p+12

Add 12 to 43.

10=43–17p+12

10=55-17p

Add 17p on both sides.

10=55-17p

17p+10=55

Subtract 10 from both sides.

17p+10=55

17p=45.

Therefore, the answer is p=2.64705882353.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 74°, a
    12·2 answers
  • A runner passes the 12​-mi point after 2 hours and reaches the 15​-mi point 30 minutes later. Assuming a constant​ rate, find th
    8·1 answer
  • 11/3 divided by what equals 11​
    9·1 answer
  • Kirenna's boss, Tanae, believes that women are not capable of making top-level decisions. Kireena's decisions are often sideline
    8·1 answer
  • A triangle has side lengths of
    13·1 answer
  • Irene wants to list the factors for 88.she writes 2, 4, 8, 11, 22, 44 and 88 is Irene correct?Explain.
    5·1 answer
  • Idfk m8 help pls lol
    10·1 answer
  • Find the value of X:
    7·1 answer
  • If the second equation is multiplied by 5 and then the equations are added, the result is _____.
    5·1 answer
  • PLEASE ITS DUE SOON!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!