10 pts!!

Landon finds that the school cafeteria has 8,000 milliliters of grape juice, 4.2 liters

KengaRu [80]

Answer:

1) Part A)

Liters Mililiters

1 1,000

5 5,000

8 8,000

14 14,000

2) Part B)

One way to convert 4.2 liters to milliliters is to  multiply  the number of liters by the number of milliliters in 1 liter. This means there are  4,200 milliliters in 4.2 liters. The cafeteria has the greatest amount of  orange juice, the second greatest amount of  grape  juice, and the least amount of  cranberry juice.

Explanation:

1) Data:

Grape juice: 8,000 mililiters

Cranberry juice: 4.2 liter

Orange juice: 12,000 mililiters

There are 1,000 mililiers in 1 liter

2) Part A:

Table:

The table is garbled. This is what the tables could look like:

Liters Mililiters

1 1,000

5 5,000

8 8,000

14 14,000

You can see that the table shows a direct relationship between the number of mililiters and the number of liters:

1,000/1 = 1,000
5,000/5 = 1,000
8,000/8 = 1,000

14,000/14 = 1,000

number of mililiters / liters = 1,000

3) Part B)

Fill in the blanks to explain how Landon can convert 4.2 liters of cranberry juice to mililiters so he can compare the amounts of the different juices:

i) One way to convert 4.2 liters to milliliters is to  multiply  the number of

liters by the number of milliliters in 1 liter.

As demonstrated above there is a direct relationship between the number of mililiters and the number on liters, then you must multiply the number of liters by the proportionality constant to find the number of mililiters.

ii) This means there are  4,200 milliliters in 4.2 liters.

That is the product 4.2 × 1,000 = 4,200.

iii) The cafeteria has the greatest amount of  orange juice, the second greatest amount of  grape  juice, and the least amount of  cranberry juice.

Rank the amounts:

12,000 > 8,000 > 4,200

↑ ↑ ↑

orange grape cranberry

8 0

3 years ago

What are the solution to the quadratic equation x2 - 36=0

MArishka [77]

Answer: x= -6 x=6

Step-by-step explanation:

expand the equation so you get (x-6)(x+6) and then set the equal to zero and solve

8 0

3 years ago

Read 2 more answers

Find the negation of the proposition

murzikaleks [220]

In accordance with propositional logic, quantifier theory and definitions of simple and composite propositions, the negation of a implication has the following equivalence:

$\neg (\exists \,x\, (P(x) \implies Q(x))) \iff \forall \,x (\neg \,Q(x) \,\land \,P(x))$ (Correct choice: iii)

<h3>How to find the equivalent form of a proposition</h3>

Herein we have a composite proposition, that is, the union of monary and binary operators and simple propositions. According to propositional logic and quantifier theory, the negation of an implication is equivalent to:

$\neg (\exists \,x\, (P(x) \implies Q(x))) \iff \forall \,x (\neg \,Q(x) \,\land \,P(x))$

To learn more on propositions: brainly.com/question/14789062

#SPJ1

8 0

2 years ago

Plz help i will give brainly!

Irina-Kira [14]

Answer:

The answer is c

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Assuming that the equations define x and y implicitly as differentiable functions x=f(t),y=g(t) find the slope of the curve x=f(

Mumz [18]

The given equations are
$x(t+1)-4t \sqrt{x} =9$ (1)
$2y+4y^{3/2}=t^{3}+t$ (2)

When t=0, obtain
$x=9 \\ 2y+4y^{3/2}=0 \,\,=\ \textgreater \ \, y(1+2 \sqrt{y} )=0 \,=\ \textgreater \ \,y=0$

Obtain derivatives of (1) and find x'(0).
x' (t+1) + x - 4√x - 4t*[(1/2)*1/√x = 0
x' (t+1) + x - 4√x -27/√x = 0
When t=0, obtain
x'(0) + x(0) - 4√x(0) = 0
x'(0) + 9 - 4*3 = 0
x'(0) = 3
Here, x' means $\frac{dx}{dt}$ .

Obtain the derivative of (2) and find y'(0).
2y' + 4*(3/2)*(√y)*(y') = 3t² + 1
When t=0, obtain
2y'(0) +6√y(0) * y'(0) = 1
2y'(0) = 1
y'(0) = 1/2.
Here, y' means $\frac{dy}{dt}$ .

Because $\frac{dy}{dx} = \frac{dy}{dt} / \frac{dx}{dt}$ , obtain
$\frac{dy}{dx} |_{t=0}\, = \frac{1/2}{3}= \frac{1}{6}$

Answer:
The slope of the curve at t=0 is 1/6.

3 0

3 years ago