At home I have 15 cans of tomato soup that are organized into 3 drawers. Which of the following is an equivalent ratio of
soup to drawers?

Answer:

JL = 78

Step-by-step explanation:

MN is a midsegment. Based on the midsegment theorem,

MN = ½(JL)

MN = 5x - 16

JL = 4x + 34

Plug in the value

5x - 16 = ½(4x + 34)

5x - 16 = ½*4x + ½*34

5x - 16 = 2x + 17

Collect like terms

5x - 2x = 16 + 17

3x = 33

Divide both sides by 3

x = 11

✔️JL = 4x + 34

Plug in the value of x

JL = 4(11) + 34

JL = 44 + 34

JL = 78

In a right triangle, the sine of the angle opposite the side of length 4 cm is 0.8 cm.

In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

The angle opposite the side of length 4 cm can be calculated as:

The hypotenuse is the side of length 5 cm.

The calculation of the sine of the angle can be calculated using the formula:

[tex]Sine = \dfrac{Opposite}{hypotenuse}[/tex]

Substitute the value in the given formula.

[tex]Sine(A) = \dfrac{4}{5}[/tex]

Sine(A) = 0.8

So, the sine of the angle opposite the side of length 4 cm is 0.8 cm.

Learn more about hypotenuse here:

https://brainly.com/question/29407794

#SPJ12

Answer: C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

using the equation 'y = 12x', if you plug in zero for 'x' you get zero for 'y'; the only graph that has the point (0, 0) is (b)

also, the x-axis represents time so, as time increases, so does the number of calories burned (which is measured on the y-axis) -- not staying flat or decreasing

Answer:

x = 10 yd

Explanation:

These triangles are based on proportions. 12 yd is proportional to 18 yd, and x yd to 15 yd. We want to find x. We'll use the rule of three to calculate the unknown number.

12/18 = x/15

x = (12 · 15)/18

x = 10 yd (10 yards from the hut to the gold coins)

Answer:

710

Step-by-step explanation:

Answer:

You will have to pay 140 dollars.

Step-by-step explanation:

Go onto calculator soup and look up simple interest calculator. :)

Answer:

14.168

Step-by-step explanation:

4.4 times 2.3= 10.12

1.4(10.12) = 14.168

Answer:

a=66m b=4.58cm

Step-by-step explanation:

a=5610 divided by 85=66 so 66m ×85 m =5610 meters squared

b=330cm ÷ 72 cm is 4.58. So 72×4.58=329.76 so rounded =330

Answer:

10.34% probability that you both pick chocolate

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, it is not important if you or your friends picks first. So we use the combinations formula to find the number of desired and total outcomes.

Combinations Formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

10 are filled with chocolate, and we want to pick 2. So

[tex]D = C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]

Total outcomes:

The box has 30 chocolates, and 2 are picked, so:

[tex]T = C_{30,2} = \frac{30!}{2!(30-2)!} = 435[/tex]

Probability:

[tex]P = \frac{D}{T} = \frac{45}{435} = 0.1034[/tex]

10.34% probability that you both pick chocolate

Answer:

the lcm of 4 and 8 is 8 and the lcm of 9 and 3 is 9

Step-by-step explanation:

hope this helpes you out

Answer:

1+33x=12

-1         -1

33x=11

33   33

x=0.3

:)

Answer:

M

Step-by-step explanation:

because it is equal on either side if you cut a line down the middle of the letter

Answer:

There is a loss of 2 yards.

Step-by-step explanation:

To find the overall gain or loss, we add or subtract there values.

Initially, we have 0 yards.

Records 14, so 0 + 14 = 14, that is, for now a gain of 14

Then loses 7, so 14 - 7 = 7, for now a gain of 7.

Then, 7 - 9 = - 2, so in all, there is a loss of 2 yards.

Answer:

9°

Step-by-step explanation:

-6 + 15 = 9

Answer:

54.91 i think!!

Step-by-step explanation:

Answer:

I would ask for being rich with my first wish and then ask to stop discrimination in the world and for number 3 i would ask being famous

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Two negatives equal a positive so

15+3-4

In order we solve from left to right

18-4

14

Our answer is 14!

Answer:

$29.78

Step-by-step explanation:

1. make the % into a decimal

9.25% = 0.0925

2. multiply amount by the decimal to get the tax amount

$27.26 × 0.095 = $2.52

3. take the original amount and add the tax to get your final total

$26.27 + $2.52 = $29.78

Answer: 3x=-24

9x is 3(3x)= 3(-24)

9x=-72

X=-8

Step-by-step explanation:

Answer:

1/64

Step-by-step explanation:

Answer:

B edge 2022

Step-by-step explanation:

Answer:

Yes that is truth that you have wrote

Answer:

ya but am always with them so i dont worryStep-by-step explanation:

Answer:

[tex]P(t) = (2t + 50)^2[/tex]

Step-by-step explanation:

A certain population increases at a rate proportional to the square root of the population.

This means that the population can be described by the following differential equation:

[tex]\frac{dP}{dt} = r\sqrt{P}[/tex]

In which r is the growth rate.

Solving by separation of variables, we have that:

[tex]\frac{dP}{\sqrt{P}} = r dt[/tex]

Integrating both sides:

[tex]2\sqrt{P} = rt + K[/tex]

In which K is a random constant

[tex]\sqrt{P} = 0.5rt + K[/tex]

Finding the squares of both sides:

[tex]P(t) = (0.5rt + K)^2[/tex]

Finding the value of K

The initial population is of 2500. That is, when [tex]t = 0, P = 2500[/tex]. So

[tex]P(t) = (0.5rt + K)^2[/tex]

[tex]2500 = (0.5r(0) + K)^2[/tex]

[tex]K^2 = 2500[/tex]

[tex]K = \sqrt{2500}[/tex]

[tex]K = 50[/tex]

So

[tex]P(t) = (0.5rt + 50)^2[/tex]

Finding the value of r

Population of 3600 in 5 years(when t = 5). So

[tex]P(t) = (0.5rt + 50)^2[/tex]

[tex]3600 = (0.5r(5) + 50)^2[/tex]

[tex](2.5r + 50)^2 = 3600[/tex]

Taking the square root of both sides

[tex]\sqrt{(2.5r + 50)^2} = \sqrt{3600}[/tex]

[tex]2.5r + 50 = 60[/tex]

[tex]2.5r = 10[/tex]

[tex]r = 4[/tex]

So, the equation for the population at the end of t years is given by:

[tex]P(t) = (0.5rt + 50)^2[/tex]

[tex]P(t) = (0.5(4)t + 50)^2[/tex]

[tex]P(t) = (2t + 50)^2[/tex]

Answer:

4.3 feets

Step-by-step explanation:

Given that:

Angle of elevation = 73°

Horizontal distance from foot of ladder to bottom of wall = x feets

Height of ladder = 14 feets

The horizontal distance, x :

Using trigonometry :

Tan θ = opposite / Adjacent

Tan θ = 14 / x

Tan 73 = 14 / x

3.2708526 * x = 14

x = 14 / 3.2708526

x = 4.2802295

x = 4.3 feets

Answer:

The volume is increasing at a rate of 16286 in³/min.

Step-by-step explanation:

a) The volume of a cone is given by:

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

Where:    

r: is the radius

h: is the height

The rate of change of the volume can be calculated by using the chain rule:

[tex] \frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}] [/tex]

Since h = 4/3 r we have:

[tex] \frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}] [/tex]

[tex] \frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}] [/tex]        

[tex] \frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}] [/tex]    (1)    

With:

[tex]\frac{dr}{dt}[/tex] = 3 in/min

[tex]r = 3 ft*\frac{12 in}{1 ft} = 36 in[/tex]

And by entering the above values into equation (1) we have:

[tex] \frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min] [/tex]

[tex]\frac{dV}{dt} = 16286 in^{3}/min[/tex]

Therefore, the volume is increasing at a rate of 16286 in³/min.

I hope it helps you!                                    

When reflecting across the x axis, the x values remain the same and the y values become the opposite of the original.

P' = (0,-3)

F' = (4,-2)

M' = (2,3)

Q' = (-2,2)

Answer:

87z

Step-by-step explanation: