Write equivalent expression for 5a+30

3. What % of 100 is 13?

Sedbober [7]

Answer:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 13 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 13 is 100%, so we can write it down as 13=100%.

4. We know, that x is 100% of the output value, so we can write it down as x=100%.

5. Now we have two simple equations:

1) 13=100%

2) x=100%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

13/x=100%/100%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 100% of 13

13/x=100/100

(13/x)*x=(100/100)*x - we multiply both sides of the equation by x

13=1*x - we divide both sides of the equation by (1) to get x

13/1=x

13=x

x=13

now we have:

100% of 13=13

Step-by-step explanation:

Have A Wonderful Day !!

5 0

3 years ago

Help! Click the photo

Mamont248 [21]

Answer:

i say 10 trees, i think its trying to trick you in thinking each row is multiplied by 4 which equal 4, so 4-6 = -2. so what i did was multiply 4 by 4 which gives me 16 -6 equals 10.

Step-by-step explanation:hope this helped if not u tell me so i can work on this topic.

5 0

3 years ago

This is a 3 part 1 question each part on how to locate the plane and a small explanation report working out the recovery details

sesenic [268]

Third leg.

The crew flies at a speed of 560 mi/h in direction N-20°-E.

The wind has a speed of 35 mi/h and a direction S-10°-E.

We then can draw this as:

We have to add the two vectors to find the actual speed and direction.

We will start by adding the x-coordinate (W-E axis):

$\begin{gathered} x=560\cdot\sin (20\degree)+35\cdot\sin (10\degree) \\ x\approx560\cdot0.342+35\cdot0.174 \\ x\approx191.53+6.08 \\ x\approx197.61 \end{gathered}$

and the y-coordinate (S-N axis) is:

$\begin{gathered} y=560\cdot\cos (20\degree)-35\cdot\cos (10\degree) \\ y\approx560\cdot0.940-35\cdot0.985 \\ y\approx526.23-34.47 \\ y\approx491.76 \end{gathered}$

Then, the actual speed vector is v3=(197.61, 491.76).

The starting location for the third leg is R2=(216.66, 167.67) [taken from the previous answer].

Then, we have to calculate the displacement in 20 minutes using the actual speed vector.

We can calculate the movement in each of the axis. For the x-axis:

$\begin{gathered} R_{3x}=R_{2x}+v_{3x}\cdot t \\ R_{3x}=216.66+197.61\cdot\frac{1}{3} \\ R_{3x}=216.66+65.87 \\ R_{3x}=282.53 \end{gathered}$

NOTE: 20 minutes represents 1/3 of an hour.

We can do the same with the y-coordinate:

$\begin{gathered} R_{3y}=R_{2y}+v_{3y}\cdot t \\ R_{3y}=167.67+491.76\cdot\frac{1}{3} \\ R_{3y}=167.67+163.92 \\ R_{3y}=331.59 \end{gathered}$

The final position is R3 = (282.53, 331.59).

To find the distance from the origin and direction, we transform the cartesian coordinates of R3 into polar coordinates:

The distance can be calculated as if it was a right triangle:

$\begin{gathered} d^2=x^2+y^2_{} \\ d^2=282.53^2+331.59^2 \\ d^2=79823.20+109951.93 \\ d^2=189775.13 \\ d=\sqrt[]{189775.13} \\ d\approx435.63 \end{gathered}$

The angle, from E to N, can be calculated as:

$\begin{gathered} \tan (\alpha)=\frac{y}{x} \\ \tan (\alpha)=\frac{331.59}{282.53} \\ \tan (\alpha)\approx1.1736 \\ \alpha=\arctan (1.1736) \\ \alpha=49.56\degree \end{gathered}$

If we want to express it from N to E, we substract the angle from 90°:

$\beta=90\degree-\alpha=90-49.56=40.44\degree$

Answer: the final location can be represented with the vector (282.53, 331.59).

1) The distance from the origin is 435.63 miles and

2) the direction is N-40°-E.

7 0

1 year ago

1. Oceanside Bike Rental Shop charges 13 dollars plus 6 dollars an

umka21 [38]

It cost 3$ per hour

3 0

4 years ago

As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular

spayn [35]

Answer:

10 milligrams of Medication A

Step-by-step explanation:

We'll write proportions/ratios for this:

20:16 is the usual proportion, and x:8 is this week's dose. The ratio from A to B has to be equal, so

20/16 = x/8

Cross-multiply:

(20)(8) = (16)(x)

160 = 16x

divide both sides by 16

x = 10

Please let me know if you have questions about this answer.

5 0

3 years ago