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
timofeeve [1]
3 years ago
8

Mandy has 36 cups of apple juice. she uses 1/4 of the juice to make punch. she then uses the remaining juice to pour single serv

ings that are 1/3 cup each. how many single servings does Mandy pour?
Mathematics
1 answer:
Anna [14]3 years ago
8 0
36/4
That is 9
36-9=27
27/3=9
27-9=18
18 Jello Apple Juice Shots
You might be interested in
Will someone please answer this question ASAP??
Len [333]
Volume of a Pentagonal Pyramid 5/6 <span>abh
Given,
a = 3 m
b = 5 m
h = 8 m

Volume of a pentagonal pyramid


<span>= </span><span><span>5/6 </span></span><span> 3 m </span><span>×</span><span> 5 m </span><span>×</span><span> 8 m</span>

= 100 m</span>³<span>
</span>
7 0
4 years ago
Please help me with these calculus bc questions
zhannawk [14.2K]

4. Compute the derivative.

y = 2x^2 - x - 1 \implies \dfrac{dy}{dx} = 4x - 1

Find when the gradient is 7.

4x - 1 = 7 \implies 4x = 8 \implies x = 2

Evaluate y at this point.

y = 2\cdot2^2-2-1 = 5

The point we want is then (2, 5).

5. The curve crosses the x-axis when y=0. We have

y = \dfrac{x - 4}x = 1 - \dfrac4x = 0 \implies \dfrac4x = 1 \implies x = 4

Compute the derivative.

y = 1 - \dfrac4x \implies \dfrac{dy}{dx} = -\dfrac4{x^2}

At the point we want, the gradient is

\dfrac{dy}{dx}\bigg|_{x=4} = -\dfrac4{4^2} = \boxed{-\dfrac14}

6. The curve crosses the y-axis when x=0. Compute the derivative.

\dfrac{dy}{dx} = 3x^2 - 4x + 5

When x=0, the gradient is

\dfrac{dy}{dx}\bigg|_{x=0} = 3\cdot0^2 - 4\cdot0 + 5 = \boxed{5}

7. Set y=5 and solve for x. The curve and line meet when

5 = 2x^2 + 7x - 4 \implies 2x^2 + 7x - 9 = (x - 1)(2x+9) = 0 \implies x=1 \text{ or } x = -\dfrac92

Compute the derivative (for the curve) and evaluate it at these x values.

\dfrac{dy}{dx} = 4x + 7

\dfrac{dy}{dx}\bigg|_{x=1} = 4\cdot1+7 = \boxed{11}

\dfrac{dy}{dx}\bigg|_{x=-9/2} = 4\cdot\left(-\dfrac92\right)+7=\boxed{-11}

8. Compute the derivative.

y = ax^2 + bx \implies \dfrac{dy}{dx} = 2ax + b

The gradient is 8 when x=2, so

2a\cdot2 + b = 8 \implies 4a + b = 8

and the gradient is -10 when x=-1, so

2a\cdot(-1) + b = -10 \implies -2a + b = -10

Solve for a and b. Eliminating b, we have

(4a + b) - (-2a + b) = 8 - (-10) \implies 6a = 18 \implies \boxed{a=3}

so that

4\cdot3+b = 8 \implies 12 + b = 8 \implies \boxed{b = -4}.

5 0
2 years ago
Find the product. <br><br> y 4 · y 6
SIZIF [17.4K]
y^4 \cdot y^6=y^{4+6}=y^{10}
6 0
3 years ago
Which of the angles are interior angles?​
andrezito [222]

Answer:

What angle’s

.

.

7 0
3 years ago
What is the equation that represents the line that passes through the point (2,6) and has a slope of -5?
tiny-mole [99]

Answer:

y = - 5x + 16

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 5, thus

y = - 5x + c ← is the partial equation of the line

To find c substitute (2, 6) into the partial equation

6 = - 10 + c ⇒ c = 6 + 10 = 16

y = - 5x + 16 ← equation of line

3 0
3 years ago
Other questions:
  • Help me to solve this
    12·2 answers
  • On Friday a local hamburger shop sold a combined total of 564 hamburgers and cheeseburgers. The number of cheeseburgers sold was
    13·2 answers
  • write an equation for the line that passes through the point (8,3) and parallel to -4x+8y=23. Use slope-intercept form.
    6·1 answer
  • Which inequality represents this sentence? Eight times three is less than or equal to ten times five. 8 • 3 ≥ 10 • 5 8 • 3 &lt;
    9·1 answer
  • A system of equations is shown on the graph below.<br> How many solutions does this system have?
    9·1 answer
  • Braden signed up for streaming music service that cost $11 per month the service allows Braden to listen to Unlimited music but
    9·1 answer
  • Need help really fast. In timed test. Will rate Brainliest if answer and explained well. Plz.....
    14·2 answers
  • 2. Which situation illustrates permutation? A. Choosing three of your classmates to attend C. Determining the top three winners
    7·1 answer
  • If x and x+ 10 are a pair of adjacent angle find them ​
    15·1 answer
  • Chase has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.13 t
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!