As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 20 milligrams of Medication A with 16 milligrams of Medication B. However this week, the doctor said to only use 8 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?

Answer:

x=-1, y=-2. (-1, -2).

Step-by-step explanation:

2x-5y=8

3x+5y=-13

----------------

5x=-5

x=-5/5

x=-1

2(-1)-5y=8

-2-5y=8

5y=-2-8

5y=-10

y=-10/5

y=-2

The distance between Ernie and Elmo is 20.38 feet.

Consider the distance between Ernie and Elmo be x

Law of sines is a formula relating the length of the sides of a triangle to the angles of the triangle.

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

The Sine rule is used to solve angles and sides of triangle.

If a triangle ABC has angles A, B and C at the vertices of the triangles with the sides facing each of these angles tagged a, b and c respectively, the sine rule is;

Given parameters;

A = 30°

a = x = ?

B = 105°

b = 12 m

Therefore, [tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b}[/tex]

0.5/ x = 0.9659 / 12

Cross multiplication;

0.9659x = (12) (0.5)

0.9659x = 6

Divide both sides by 0.9659;

(0.9659x/0.9659) = (6/0.9659)

x = 6.21 m

Since 1 m = 3.281 ft

Then;

6.21 m = (6.21) (3.281) = 20.38 ft

Hence, the distance between Ernie and Elmo is 20.38 feet.

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Answer:

Victors score= v

19 + v =45

Answer:

take 19 degree as reference angle

using sine rule

sin 19 degree=x/74

0.32=x/74

0.32*74=x

23.68=x

Step-by-step explanation:

Hope this helps u !!

Answer:

216

Step-by-step explanation:

Answer:

In five years, the enrollment would have been 10,724 students

Step-by-step explanation:

The general depreciation formula is given as;

P = I( 1 - r)^t

where P is the present population

I is the initial

r is the rate of depreciation = 4.5% = 4.5/100 = 0.045

t is 5 years

substituting these values;

P = 13,500 (1- 0.045)^5

P = 10,723.84

Answer:

x= -4

y=2

put the values

( -4-16)2+(2-6)2=1

(-20)2+(-4)2=1

-40-8=1

-48 is not equal to 1.

Answer:

244 in^2

Step-by-step explanation:

We'll start by listing out the dimensions of different surfaces on the shape, and how many times that specific sized rectangle is on the prism.

The prism has six sides, so check that whatever list you make lines up.

Now we can add all this up, 28 + 48 + 168 = 244 in^2 !

Just asking. How are we supposed to answer this without some sort of picture with a graph or something? :/

Answer:

(-5,-8) reflected over the y-axis turns to (-5,8)

Answer:

f(x)=2499(0.079)

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Area of Triangle x 2 = 3 * 3

The reason I did not divide it by 2 is because of how the other triangle is bound to have the same area. Just leave it as it is because later you're going to reach the same answer.

3 * 3 = 9

Rectangle Area = 6 * 3 = 18

18 + 9 = 27

Answer:

Absolute Value

Step-by-step explanation:

|-4| is equal to 4 because Absolute Value is the distance from zero to a number on a number line. The vertical bars "||" in Absolute Value convert the number to it’s positive.

Examples:

|-12| = 12  

|5| = 5

Answer:

Point D

[tex] \sqrt{388} = 19.7 \\ between \: 19 \: and \: 20[/tex]

Answer:

They are both identical triangles with the same angles and lenght which means they are congruent and so their hypotenuses lines AC and CB are also congruent.

Step-by-step explanation:

Hope this helps

Answer:

they are congruent because they are on a perpendicular line

Answer:

<x=28 degrees

Step-by-step explanation:

Since we know line KL and FG are perpendicular, and DE and FG are parallel, then KL and DE must also be perpendicular.

Angles GCA, JCB, IAE, and CAD are all the same angle. Angles IAD, EAC, GCJ, and ACB are all the same angle. Since DE and KL are perpendicular, then angles KAD, KAE, EAL, and DAL all are 90 degrees, or right angles.

Because we know all this, we can take the angle of KAD, 90 degrees, and subtract 62 from it to find the angle of IAD. This is 28 degrees. Since angle IAD is equal to angle GCJ, which is also angle x, angle x is 28 degrees.

Hope this helps! Please mark me Brainliest!

Answer:

b= 8

Step-by-step explanation:

you use Pythagorean theorem to solve this problem

a² + b² = c²

since you already have a and c and you're missing b you rearrange the formula to:

[tex]c^{2}[/tex]-[tex]a^{2}[/tex] = b²

17² - 15² = b²

64² = b²

[tex]\sqrt{64}[/tex] = b

8 = b

Step-by-step explanation:

To find side b use Pythagoras theorem:

Hypotenuse²=Base²+Height ²

17²=B²+15²

289-225=B²

64=B²

√8=B²

So,

8 yards is Side B

Now,

We can use Heron's Formula

√S(S-A) (S-B) (S-C)

Let's find semi perimeter

17+15+8/2

40/2=20

So, S=20

Let A=8,B=15,C=17

√20(20-8) (20-15) (20-17)

√20×12×5×3

√2×2×5×5×2×2×3×3 (Factorising the numbers)

2×5×2×2×3

120 yards Answer

hope it helps...

Answer:

He ate 4/9 of the pan of brownies.

Step-by-step explanation:

So the question might seem hard but when you read it, it said that there were 2/3 of brownies left and he ate 2/3 of that 2/3 in that pan so to figure 2/3 of 2/3 I divided 2/3 by 3 which is 2/9, 2/9 is 1/3 of 2/3 to figure out 2/3 of 2/3 you need to add by itself which you get 4/9.

Answer:

A

Step-by-step explanation:

Notice that its y-intercept is (0,-5), so it crosses the y-axis at (0,-5)

Then, we notice that it is going doing from [-10,-2] and remains the same from[-2, 10]. Thus, the best choice is A

Answer:

He got a 19 out of 20, great job Edwin ;)

Step-by-step explanation:

Hope this helps :)

Edwin missed 1 question on the quiz.

The percentage is defined as a ratio expressed as a fraction of 100.

If Edwin got 95% of the questions right on a quiz and there were 20 questions in total, we can calculate the number of questions he missed by finding 5% of the total number of questions.

First, let's find 5% of 20:

= 5% of 20

= (5/100) x 20

= 1 x 20 / 100

= 20 / 100

= 0.2

Since we can't have a fraction of a question, we round the decimal up to the nearest whole number.

In this case, 0.2 rounds up to 1.

Therefore, Edwin missed 1 question on the quiz.

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Answer:

Student =100

Step-by-step explanation:

Answer:

I think the answer is 3:1. found it by counting the no. of boxes

Answer:

The correct option is $2.50.

Step-by-step explanation:

This can be determined by calculating the change in total cost of lunch using the data given in the question as follows:

Slice of pizza     Total cost of lunch ($)    Change in total cost of lunch ($)

         0                                7.5                                          -

         1                                 10                                          2.5

         2                                12.5                                       2.5

         3                                 15                                          2.5

         4                                 17.5                                       2.5

         5                                 20                                         2.5

         6                                 22.5                                      2.5

         7                                 25                                         2.5

         8                                 27.5                                      2.5

Since the change in total cost of lunch in table abov is constant at $2.50, this implies that for each additional slice of pizza that is purchased, the total cost of lunch increases by $2.50.

Therefore, the correct option is $2.50.

Answer:

The answer to your question issssss

C: $2.50

Answer:

y = 8/5x - 3

Step-by-step explanation:

First, find the slope using rise over run (y2 - y1) / (x2 - x1)

(y2 - y1) / (x2 - x1)

(-19 - 5) / (-10 - 5)

-24 / -15

= 8/5

Plug in the slope and a given point into y = mx + b, and solve for b

y = mx + b

5 = 8/5(5) + b

5 = 8 + b

-3 = b

Plug in the slope and b into y = mx + b

y = 8/5x - 3

So, the equation is y = 8/5x - 3

Step-by-step explanation:

where is the question? i can help you

X = 38°

Step-by-step explanation:

The sum of the inner angles of a triangle is 180 degrees

Then.. :

136+ x= 180

180- 136= x

X= 44

88 + 44 + x = 180

142+ x = 180

X= 180-142

X = 38°

Espero haberte ayudado.