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
Fantom [35]
3 years ago
9

bob bought three more then twice as many apples as Kathy. Together they ought 15 apples. How many did each of them buy?​

Mathematics
1 answer:
solniwko [45]3 years ago
6 0

Answer:

Kathy bought 4 and Bob bought 11.

Step-by-step explanation:

since we already know he bought 3 more than her we can subtract 3 from 15 which is 12, since he bought twice more than her we can divide 12 by 3 which is 4. Multiply by 2 and you get 8, and when you add it to the subtracted 3 you get 11. So she bought 4 and he bought 11

You might be interested in
Calculate the rate of change of the linear function that contains the points
Mandarinka [93]

Answer:

-2

Step-by-step explanation:

X1 Y1 X2 Y2

(-15, 30) (7, -14)

Y2-Y1 = -14-30 = -44 = -2

———————————————

X2-X1 = 7-(-15)= 22 = 1

3 0
3 years ago
48 = 4t + 12<br> How would I solve this someone please respond fast.
raketka [301]

Answer:

t=9

Step-by-step explanation:

Move all terms that don't contain

t to the right side and solve.t=9

8 0
3 years ago
Read 2 more answers
The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac
olya-2409 [2.1K]

Answer:

a) \frac{74}{10025}

b) \frac{3x-2}{x(8x+1)}

c) \frac{-24x^2+32x-2}{(8x^2+x)^2}

Step-by-step explanation:

For total cost function c(x), average cost is given by \frac{c(x)}{x} i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., \left ( \frac{c(x)}{x} \right )'

Given:c(x)=\frac{3x-2}{8x+1}

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

a)

At x = 50 units,

\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}

b)

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

c)

Marginal average cost:

Differentiate average cost with respect to x

Take f=3x-2\,,\,g=8x^2+x

using quotient rule, \left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}

Therefore,

\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}

3 0
3 years ago
A sector of a circle has a central angle measuring 15 degrees and the radius of the circle measures 9 inches. What is the arc le
Kamila [148]

Answer:

Arc length is \dfrac{3\pi }{4}\ \text{inches}

Step-by-step explanation:

We have,

Central angle is 15 degrees and the radius of the circle measures 9 inches.

It is required to find the arc length of the sector.

The relation between arc length and the central angle is given by :

\dfrac{\text{arc length}}{\text{circumference}}=\dfrac{\theta}{360}

Circumference, C=2\pi r=18\pi

\theta=15^{\circ}

\dfrac{x}{18\pi }=\dfrac{15}{360}\\\\\dfrac{x}{18\pi }=\dfrac{1}{24}\\\\x=\dfrac{18\pi }{24}\\\\x=\dfrac{3\pi }{4}\ \text{inches}

Hence, the correct option is (b).

5 0
3 years ago
Suhal buys a total of 24 books from a charity shop. Hardbacks cost £2 and paperbacks cost £1.50. He spends £43.50. Let x represe
laiz [17]
Hello, sorry if this seems a bit odd, it’s a common method though. Hope you can understand this. Thanks

4 0
2 years ago
Other questions:
  • Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below. Part A: Find (f + g)(x). Sho
    8·1 answer
  • Simplify<br> Зе –6e + Зе – 4e =<br> How do you do it
    10·1 answer
  • What is algebraic expression/equation
    11·1 answer
  • Tiara earned 12 dollars on her
    9·1 answer
  • I need some help with this worksheet! Major points !!! . (not good with percentages)
    15·1 answer
  • Pls help urgently extra points and mark brainlist
    15·2 answers
  • Y= 22 + 2x + 3<br> What are the coordinates of the vertex of the given function?
    15·1 answer
  • Can somebody tell me the answer to this please​
    7·1 answer
  • ...................Math help....................
    9·1 answer
  • HELP PLEASE ILL GIVE BRAINLIST 8th grade ALGEBRA I INSERTED A PHOTO
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!