Jerome photographed an aquarium that measured 12 inches by 18 inches by 24 inches. Lim photographed an aquarium that was 12 inches by 30 inches by 12 inches. Both aquariums are rectangular prisms. How much more volume does Jerome’s aquarium have than Lim’s?

Answer:

C. (2,10)

Step-by-step explanation:

i used desmos to get the answer :/

Answer:

the brown rice is cheaper by the ounce than the white.

Step-by-step explanation:

Find the unit cost in each case.

Brown rice:

 79 cents

----------------- = $0.049/oz

  16 ounces

White rice:

 $3.49

----------------- = $0.109/oz

32 ounces

The brown rice, at 4.9 cents/oz, is the better deal against the competition, 10.9 cents/oz.

Answer:

using Pythagoras theorem x=32.7

Answer:

21.7

Step-by-step explanation:

In order to solve this problem, we can use trig functions. We are given the side adjacent to the 37° given and we are looking for the hypotenuse. This means that cosine function is the most suitable. Cosine is written as:

cos(θ°) = adjacent / hypotenuse

We can substitute the values we have:

cos(37°) = 17.3 / x

And rewrite the expression:

x = 17.3 / cos(37°)

Then, use a calculator to evaluate:

x = 21.66194689

This can be rounded to 21.7

Answer:

33

Step-by-step explanation:

3n but n is 11 means 3x11

Answer:

3n = 33 when n = 11

Step-by-step explanation:

n = 11

therefore

3(11)

which means 3 times 11

Answer = 33

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

It is a random sample of students because they are just random people that Jackie is asking, its not only people in on grade, or only people on the basketball team.

Answer:

scale factor = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

[tex]\frac{QP}{KJ}[/tex] = [tex]\frac{8}{16}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

f = -6g/5

Step-by-step explanation:

6f + 9g = 3g + f

combine like terms

6f -f = 3g - 9g

5f = -6g

divide both sides of the equation by 5

f = -6g/5

Answer:

f= -6/5.      aka].  answer B

Step-by-step explanation:

Answer:

x ≈ 20.31

Step-by-step explanation:

By applying tangent rule in the given right triangle,

tan(55°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

Measure of the opposite side = 29 units

Measure of the adjacent side = x

Substitute these values in the expression,

tan(55) = [tex]\frac{29}{x}[/tex]

x = [tex]\frac{29}{tan(55)}[/tex]

x = 20.306

x ≈ 20.31

Answer:

[tex]\theta=71.07^{\circ}[/tex]

Step-by-step explanation:

The given vector is :

v = -12i - 35j

We need to find the angle direction of v.

The general vector is given by :

v = xi+yj

The direction angle is :

[tex]\theta=\tan^{-1}(\dfrac{y}{x})[/tex]

We have, x = -12 and y = -35

So,

[tex]\theta=\tan^{-1}(\dfrac{-35}{-12})\\\\\theta=71.07^{\circ}[/tex]

So, the required direction angle is [tex]71.07^{\circ}[/tex].

Answer:

84.823 in.³

Step-by-step explanation:

V = πr²[tex]\frac{h}{3}[/tex]

84.823 in.³

Answer:

The width should be 9 feet in this situation

Step-by-step explanation:

(30 x 2) + (9 x 2) =

60 + 18 =

78 ft

Or

78 - (30 X 2) =

78 - 60 =

18 / 2 =

9

Answer:

90 inches

Step-by-step explanation:

900 divided by 10 = 90

Answer:

Solution given:

x=2

y=3

The requried solution to the pair of equations is (2, 3).

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,

Part A: To solve the pair of equations graphically, we need to plot both equations on the same coordinate plane. To plot each equation, we can use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

For the equation y = 2x - 1, the slope is 2 and the y-intercept is -1. For the equation y = 4x - 5, the slope is 4 and the y-intercept is -5. We can plot these two lines on the same coordinate plane and find their intersection point.

Part B: We can find this point by setting the two equations equal to each other and solving for x:

2x - 1 = 4x - 5

Subtracting 2x from both sides, we get:

-1 = 2x - 5

Adding 5 to both sides, we get:

4 = 2x

Dividing by 2, we get:

x = 2

Now that we have found the value of x, we can substitute it into either equation to find the value of y. Using the equation y = 2x - 1, we get:

y = 2(2) - 1

y = 3

Therefore, the solution to the pair of equations is (2, 3).

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ3

Answer:

$8

Step-by-step explanation:

Let the hourly rentals be x

Let the total fee be y

Initial Deposit $8

The expression for the total is given as

y= 8+x

But y= 2x-8

Therefore

2x-=8+x

Collect like terms

2x-x=8

x=8

Hence the hourly rate is $8

Answer:

$39

Step-by-step explanation:

60 x 0.39 = 21

60 - 21 = 39

Kayla bought a necklace on sale for $39.

Answer:

OPTION A

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Answer:

D. 1,000

Step-by-step explanation:

Answer:

2(x - 9.46)(x + 2.54)

Step-by-step explanation:

2(x² - 12x + 24)

since there are no factors that multiply to 24 and add to -12 then i used the quadratic formula to get:

6+2[tex]\sqrt{3}[/tex], 6-2[tex]\sqrt{3}[/tex]

Answer:

2/10 .02

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:

PQ / PT = QR / TU = PR / PU

We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:

PQ / PT = PR / PU

Now, we can substitute the values given by the diagram:

70 / 30 = 49 / (x + 10)

We can cross multiply,

70(x + 10) = 30 * 49

And divide by 70 on both sides(too lazy to multiply :P)

x + 10 = 3 * 7

x + 10 = 21

x = 11

Answer: x = -3

Step-by-step explanation:

Answer:

y is 107° and z is 36°

Step-by-step explanation:

73° and y are supplementary angles so they add up to 180°

Answer:

y = 107

z = 36

Step-by-step explanation:

We are given that line o is parallel to line m, and we can notice line k is a transversal through them both. Using same side interior angles, we can say that:

y + 73 = 180

and

y = 107

Next, using vertical angles, we can say that:

5z - 73 = y

We already have y = 107, so we can substitute that in:

5z - 73 = 107

5z = 180

z = 36

Answer:

Step-by-step explanation:

r=5 ×90/100=4.5 in

h=6×90/100=5.4 in

a.

volume of original cylinder=π×5²×6=150 π≈471.24 in³

b.

volume of new cylinder=π×4.5²×5.4=109.35 π in³≈343.53 in ³

c.

decrease in volume=150 π-109.35 π=40.65π

% decrease=(40.65 π)/150 π×100=4065/150=1355/50=27.1 %

Answer:

Dealership A

Step-by-step explanation:

Dealership A: 0 + 4 + 4 + 6 + 6 + 7 + 8 / 7 = 5 mean sales

Dealership B: 1 + 2 + 2 + 4 + 5 + 7 + 7 / 7 = 4 mean sales

Answer:

Explanation: Notice that if x is Real then x2≥0 , so x2+25 has no linear factors with Real coefficients