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
Oduvanchick [21]
3 years ago
8

Leslie and Marvin, both teachers, are adding books to their class libraries. Leslie's classroom started out with a collection of

only 20 books, but she plans to purchase an additional 3 books per week. Marvin's library started out with 40 books, and he has enough money in his budget to purchase another 1 book per week. At some point, the two teachers' libraries will contain the same number of books. How many weeks will that take?
Mathematics
1 answer:
iren2701 [21]3 years ago
6 0

Answer:

10 weeks

Step-by-step explanation:

L = 20 + 3x

M = 40 + x

20 + 3x = 40 + x

3x = 20 + x

2x = 20

x = 10

You might be interested in
What is the difference in finding the length of a segment that is drawn on a sheet of blank paper and segment that is drawn on a
klio [65]

If you have tickmarks on the segment, on a blank piece of paper, then you count out the spaces to get the length of the segment. This is assuming the tickmarks are properly spaced out. If there aren't any tickmarks, then you'll have to use a ruler to find the length. Either way, a ruler is encouraged.

The coordinate plane makes things easier to find the length of any segment. Use either the pythagorean theorem or the distance formula to find the length of the segment.

7 0
3 years ago
HELPPPP PLEASE!!!!!!
worty [1.4K]

Answer:

<h3>y = 20</h3><h3 />

Step-by-step explanation:

line RPN = 180 = 4y - 10 + 90 + y

180 - 90 + 10= 5y

100 = 5y

y = 100/5

y = 20

7 0
3 years ago
Find the length of x.​
krek1111 [17]
Answer

x = 7.5

Explanation

This is a case of similar triangles.
Similar triangles have bigger triangles which have sides which are multiples of smaller triangles sides.


We know that the adjacent side of the bigger triangle is 6 and for the smaller triangle it’s 4 so the constant factor by which the sides of the small triangle are multiplied to obtain the sides of the large triangle is

6/4 = 3/2

Since we know the hypotenuse of the smaller triangle is 5.

Multiply this by 3/2 to get the hypotenuse of the bigger triangle

3/2 • 5 = 7.5

Hope this helped
6 0
3 years ago
I need help in partial fraction!! With simple explaination would be nice!
WITCHER [35]
\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}

The degree of the numerator (4) is larger than the degree of the denominator (3), so first you need to divide. (Added screenshot of long division procedure.)

\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}=x-\dfrac{4x^2-17x+10}{x(x^2-3)}

Now the second term can be decomposed into partial fractions.

\dfrac{4x^2-17x+10}{x(x^2-3)}=\dfrac{r_1}x+\dfrac{r_2x+r_3}{x^2-3}
\dfrac{4x^2-17x+10}{x(x^2-3)}=\dfrac{r_1(x^2-3)+x(r_2x+r_3)}{x(x^2-3)}
4x^2-17x+10=r_1(x^2-3)+x(r_2x+r_3)
4x^2-17x+10=(r_1+r_2)x^2+r_3x-3r_1
\implies\begin{cases}r_1+r_2=4\\r_3=-17\\-3r_1=10\end{cases}\implies r_1=-\dfrac{10}3,r_2=\dfrac{22}3,r_3=-17=-\dfrac{51}3
\implies\dfrac{4x^2-17x+10}{x(x^2-3)}=-\dfrac{10}{3x}+\dfrac{22x-51}{x^2-3}

So

\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}=x+\dfrac{10}{3x}-\dfrac{22x-51}{x^2-3}

3 0
3 years ago
X 4 6 9 11 15
Kitty [74]

The mean of this  discrete random variable is 7.96

<em><u>Solution:</u></em>

Given that,

x         4       6          9         11        15

P(x)   0.20   0.34     0.15    0.22     0.09

<u><em>Mean is given as:</em></u>

\mu_{x}=\sum[x \times P(x)]

Therefore,

\mu_{x} = (4 \times 0.20) + (6 \times 0.34 ) + (9 \times 0.15 ) + (11 \times 0.22 ) + (15 \times 0.09)\\\\Simplify\\\\\mu_{x} = 0.8 + 2.04 + 1.35 + 2.42 + 1.35\\\\\mu_{x} = 7.96

Thus, mean of this  discrete random variable is 7.96

7 0
3 years ago
Other questions:
  • A bookstore has 63 copies of a magazine. It sold 6/7 of them how many copies were sold
    12·1 answer
  • 23.7 – y when y = 10
    7·2 answers
  • The number 18 is what percent of 15
    6·2 answers
  • Please help mehhhhh!!!!!
    15·1 answer
  • A loan of $990 was repaid at the end of 6 months with a check for 1015. What annual interest was charged
    7·1 answer
  • What is 5x+4=26 I don’t understand it please help thanks
    11·2 answers
  • Which is greater?.75 or 3/5
    13·2 answers
  • The waiting time for a fire department to get called to a house fire is exponentially distributed with an average wait time of 1
    9·1 answer
  • What is the measure, in degrees, of the acute angle formed by the hour hand and the minute hand of a 12-hour clock at 6:48
    6·1 answer
  • Please help me <br><br><br><br> Solve for g.<br><br> g =
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!