Orly uses 2 cups of raisins for every 8 cups of trail mix she makes. How many cups of trail mix will she make if she uses 10 cups of raisins?

A. 12 cups

B.2 cups

C.8 cups

D.40 cups

Answer:

A)

[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]

B)

[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]

Step-by-step explanation:

x and y are differentiable functions of t, and we are given the equation:

[tex]xy=6[/tex]

First, let's differentiate both sides of the equation with respect to t. So:

[tex]\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6][/tex]

By the Product Rule and rewriting:

[tex]\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0[/tex]

Therefore:

[tex]\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0[/tex]

A)

We want to find dy/dt when x = 4 and dx/dt = 11.

Using our original equation, find y when x = 4:

[tex]\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}[/tex]

Therefore:

[tex]\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0[/tex]

Solve for dy/dt:

[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]

B)

We want to find dx/dt when x = 1 and dy/dt = -9.

Again, using our original equation, find y when x = 1:

[tex](1)y=6\Rightarrow y=6[/tex]

Therefore:

[tex]\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0[/tex]

Solve for dx/dt:

[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]

Answer:

A

Step-by-step explanation:

You can look at the graph and infer that the line passes through 32 34 36 and so on

or

you can substitute y for the bill and x for the number of songs to see which graph is correct

y = 30 + 2x

For A, the line goes through 32 34 36 38 40 42 44 46 and 48

You can plug in 32 for y and 1 for x and so on

32 = 30 + 2*1 = 30 + 2

34 = 30 + 2*2 = 30 + 4

36 = 30 + 2*3 = 30 + 6

38 = 30 + 2* = 30 + 8

and so on

Answer:

The measure of a snart is 2 and that of a snert is 8.

Step-by-step explanation:

Represent the size of a snert by e and that of a snart by a.

Then e - a = 6.  This assumes that e > a.

2e + a = 18.  Substitute e - 6 for a, obtaining:

2e + (e - 6) = 18.

Simplifying, we get

2e + e - 6 = 18, or

3e = 24, and so

e = 8

Remembering that e - a = 6, we have 8 - a = 6.  Then a must be 2.

The measure of a snart is 2 and that of a snert is 8.

Answer:

Step-by-step explanation:

Answer:

is this the full question?

Step-by-step explanation:

Answer:

[tex]5x - 4 = 4 + 4x \\ 5x - 4x = 4 + 4 \\ x = 8[/tex]

Answer:

x<8

Step-by-step explanation:

5x-4<4(1+x)

= 5x-4<4+4x

= 5x-4-4x<4

=5x-4x<4+4

= x<4+4

= x < 8

first distribute the 4 into the parenthesis on the right side of the expression. next collect like terms, so move the x's to the left side and the two fours to the other side. simplify both sides to find the answer.

i hope this helps :)

Answer:

175%

Step-by-step explanation:

The first one is a whole=1

the second one is cut in four but only 3 are shaded so 1/4=0.25    0.25*3=0.75

3/4/0.75 is shaded

so 1+0.75=1.75

1.75=175%

Answer:

2.5 hours

Step-by-step explanation:

If it takes 3 hours at 50 mph, it's traveling 150 miles (3 x 50)

150 miles at 60 mph is 2.5 hours (150/60)

Answer:

22

Step-by-step explanation:

308/70 = 4.4

4.4 * 5

Answer: 11 kg

Step-by-step explanation:

Given

Shelia buys 33 kg of rice and 9 kg of cornmeal

The amount of flour bought is one-third of the amount of rice bought

The amount of flour is

[tex]\Rightarrow \dfrac{33}{3}=11\ kg[/tex]

Answer:

The foot of the ladder is 10 feet away from the base of the wall.

Step-by-step explanation:

Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder

h = 20  is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.

The foot of the ladder is 10 feet away from the base of the wall. [Ans]

answer: The foot of the ladder is 10 feet away from the base of the wall.

The foot of the ladder is 10 feet away from the base of the wall.

explanation:

Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder

h = 20  is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.

Answer:  (8, 9)

Step-by-step explanation:

Answer:

(-4, 1)

Step-by-step explanation:

Answer:

the answer for this question is C

Step-by-step explanation:

base radius = 0.8

Height = 3.5

Volume of a cone =

[tex] \frac{1}{3} \pi {r}^{2} h[/tex]

V=1/3 x 3.14 x 0.8^2 x 3.5

V=2.3445 in^3

V= 2.34 in^3

Answer: 6

Step-by-step explanation:

Answer:

c) 3

Step-by-step explanation:

Answer:

X=20

Step-by-step explanation:

3x=2x+20

X=20

Answer:

A,

Step-by-step explanation:

Opposites sides are equal in a rectangle.

Answer:

The answer is: "It has to be a rectangle.  I measured the diagonals to be sure they were the same length."

Step-by-step explanation:

The other properties are true of a rectangle as well, but they could also be other shapes.

"It has to be a rectangle.  The opposite sides are the same length."

This could also be describing a rhombus or square.

"It has to be a rectangle because it is not a square."

This could also be a rhombus, trapezoid, or even kite.

"It has to be a rectangle.  I made sure that the two 8-foot boards are parallel and that the two 6-foot boards are parallel."

This can describe any parallelogram.  Just because the sides are congruent and parallel does not mean that there are four 90degree angles formed.

"It has to be a rectangle.  I measured the diagonals to be sure they were the same length."

This is a property of rectangle diagonals.  They will always be congruent.

Answer:

$49.82

Step-by-step explanation:

Since each gallon is $2.12 you would just do $2.12 times 23.5 which equals $49.82. So Mariela spent $49.82 on gas

Answer:

427

Step-by-step explanation:

Find volume

Subtract 5 inches

Answer:

yan lang po hindi ko alam

Step-by-step explanation:

sorry po hindi ko alam ehh

Answer:

6,600,000,000

Step-by-step explanation:

six billion 6 hundred million

Answer:

34

Step-by-step explanation:

(16+8x)-(-18+8x)

16-(-18)

34

Answer:

17x^2

Step-by-step explanation:

(8x^2+8x)- ( 9x^2+8x)

8x^2+8x + 9x^2-8x

17x^2

Answer:

In triangle QNP and QNM

3.QN=QN[common side]

so triangle QNP and QNM is CONGRUENT by A.A .S axiom.

Answer:

1. (its already filled out)

2. angle MQN = angle PQN

3. NQ=NQ

4. angle side angle

Step-by-step explanation:

checked on khan academy :)

Answer:

30

Step-by-step explanation:

For a right triangle there is a formula ---> a² + b² = c²  ("c" is always the side not touching the right angle)

24² + 18² = c²

576 + 324 = c²

900 = c²

30 = c

The 3rd side is 30

Answer:

a.) 10,000

b.) 512

Step-by-step explanation:

Answer:

C

explanation:

x = 4/3πr³

cross multiply

3x = 4πr³

cube root both side

³√3x = ³√4πr³

³√3x = ³√4π x r

divide both side by ³√4π

r = ³√3x/4π

9514 1404 393

Answer:

  x = 20

Step-by-step explanation:

The external angle at V is half the difference of the subtended arcs:

  (65° -25°)/2 = x° = 40°/2

  x = 20