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
Alekssandra [29.7K]
3 years ago
10

Isobel and Marnie volunteer at a daycare center. Isobel works 3 hours for every 2 hours Marnie works. If the 2 girls together wo

rk 20 hours one month, how many hours does Isobel work?
Mathematics
1 answer:
stealth61 [152]3 years ago
3 0
Isobel =I  
Marnie =M
I(X) + M(X) = 20
3x + 2x =20
5x =20
divide by 5 both sides
5x/5 = 20/5
x = 4
then multiply I hours by 4  and M hours by 4

3(4) + 2(4) =20
12+ 8 = 20

Isobel worked a total of 12 hours and Marnie worked a total of 8.  
Hope this helps

You might be interested in
If DE=52 and EF=21 Find DF
Vesna [10]
The answer is 107



Vote Trump 2020
7 0
3 years ago
Calculate the total area of the shaded region.
LUCKY_DIMON [66]

so hmmm seemingly the graphs meet at -2 and +2 and 0, let's check

\stackrel{f(x)}{2x^3-x^2-5x}~~ = ~~\stackrel{g(x)}{-x^2+3x}\implies 2x^3-5x=3x\implies 2x^3-8x=0 \\\\\\ 2x(x^2-4)=0\implies x^2=4\implies x=\pm\sqrt{4}\implies x= \begin{cases} 0\\ \pm 2 \end{cases}

so f(x) = g(x) at those points, so let's take the integral of the top - bottom functions for both intervals, namely f(x) - g(x) from -2 to 0 and g(x) - f(x) from 0 to +2.

\stackrel{f(x)}{2x^3-x^2-5x}~~ - ~~[\stackrel{g(x)}{-x^2+3x}]\implies 2x^3-x^2-5x+x^2-3x \\\\\\ 2x^3-8x\implies 2(x^3-4x)\implies \displaystyle 2\int\limits_{-2}^{0} (x^3-4x)dx \implies 2\left[ \cfrac{x^4}{4}-2x^2 \right]_{-2}^{0}\implies \boxed{8} \\\\[-0.35em] ~\dotfill

\stackrel{g(x)}{-x^2+3x}~~ - ~~[\stackrel{f(x)}{2x^3-x^2-5x}]\implies -x^2+3x-2x^3+x^2+5x \\\\\\ -2x^3+8x\implies 2(-x^3+4x) \\\\\\ \displaystyle 2\int\limits_{0}^{2} (-x^3+4x)dx \implies 2\left[ -\cfrac{x^4}{4}+2x^2 \right]_{0}^{2}\implies \boxed{8} ~\hfill \boxed{\stackrel{\textit{total area}}{8~~ + ~~8~~ = ~~16}}

7 0
2 years ago
Determine the intervals on which the function is increasing, decreasing, and constant. (5 points)
TEA [102]
The one above the one you have now
4 0
3 years ago
Read 2 more answers
How much must you deposit in an account to earn $400 per year at 2% simple interest?
Strike441 [17]

Step-by-step explanation:

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

...

Simple Interest Example:

Simple Interest

1 Year S.I = (1000 ×5 × 1)/100 = 50

2 Year S.I = (1000 × 5 × 2)/100 = 100

3 Year S.I = (1000 ×5 × 3)/100 = 150

7 0
2 years ago
The height of a certain type of tree depends on the amount of sun it receives per year, described by the function Height(sun). W
Sliva [168]
I think it is B and D hope this helps
7 0
3 years ago
Read 2 more answers
Other questions:
  • Line AB contains points A (3, −2) and B (1, 8). The slope of line AB is −5 negative 1 over 5 1 over 5 5
    13·2 answers
  • Write an inequality for each situation <br> There are at least 24 pictures on the roll of film.
    14·2 answers
  • Main street and hawthorane boulevard run parallel to each other. park avenue runs straight across town and intersects hawthorne
    13·1 answer
  • **WHO ANSWERS WILL BE MARK AS BRAINLIEST** Triangle ABC is translated according to the rule (x, y) → (x + 4, y – 10). If the coo
    14·1 answer
  • What is the value of n in the equation below?
    14·2 answers
  • Plz help advanced calculus ​
    15·1 answer
  • There is a narrow rectangular plot, reserved for a school, in Mahuli VIIage
    15·1 answer
  • At an archeological site, the remains of two ancient step pyramids are congruent. If ABCD= EFGH find EF
    5·2 answers
  • Compute this 6-7-3+10-2
    14·1 answer
  • A semicircular window has a diameter of 10m what is the perimeter of the window use 3. 14 for pi ?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!