A veterinarian knows that a 50-pound dog gets 0.5 milligram of a certain medicine, and that the number of milligrams, m, varies directly with the weight of the dog, w. The vet uses these steps to find the amount of medicine to give a 10-pound dog.

Step 1 Find the constant of variation.
k = StartFraction 0.5 Over 50 EndFraction = 0.01
Step 2 Write the direct variation equation.
m = 0.01 w
Step 3
Substitute 10 into the equation to find the dosage for a 10-pound dog.
10 = 0.01 w
Step 4
Solve for w.
10 = 0.01 w. w = 1000.

The 10-pound dog needs 1000 milligrams.

In which step did the veterinarian make the first error?

Answer:

5.88 pints

Step-by-step explanation:

Well the amount of white paint is 3 / 5 of 9.8

0.6 * 9.8 = 5.88

Answer: 14.7 pints of white paint

IF two different colors were used.

IF she mixed paint to get a light blue, 3/5 of the total would be about 5.9 pints.

Step-by-step explanation:

If 9.8 is 2/5 of the total amount used, set up the equation as 9.8= 2x/5

You get the total amount of paint used is 24.5 pints. Subtract the 9.8 of blue to find the amount of white. That's 14.7 pints.

In practical, real life, a quart of paint covers about 100 square feet. That's an average 8 ft high by 12 ft wide wall.

So that is why I edited this answer. 24 pints is 3 gallons-- that is enough for 3 bedrooms.

And I wish that Math teachers used more common measurements of paint!

Answer:

a.

Step-by-step explanation:

P(F or S) = P(F) + P(S) - P(F & S)

= 0.46 + 0.22 - 0.12

= 0.56

Answer: 34.6 cm

Step-by-step explanation:

delta math

The radius of the hemisphere with a volume 86784cm³ as described is; 27.5cm

It follows from quantity measurements of solid shapes that the Volume of a sphere is given by the formula;

On this note, upon substitution;

86784 = (4/3) (3.14r³)

Hence, r³ = (86784 ×3)/(4 ×3.14)

r³ = 20728.7

r = ³√2.728.7

r = 27.5cm

Read more on radius of a hemisphere;

https://brainly.com/question/15514243

Answer:

I think is -x + 105/42y

Step-by-step explanation:

2(3/10)x - 5/7y - 4(5/6)y - 2(4/5)x

6/10x - 5/7y - 20/6y - 8/5x

6/10x - 8/5x - 5/7y - 20/6y

6-16/10x - 35+140/42y

-10/10x + 105/42y

-x + 105/42y

Answer:

Denote O as center of circle, draw OA, OC.

As property of tangent line from outside of circle (angle OAD = angle OCD = 90 deg):

=> AOC + D = 180

Moreover, angle  AOC = 2 x angle B = 2 x 65 = 130

=> D = 180 - 130 = 50 deg

Hope this helps!

:)

The measure of the angle d for m angle b = 65 in the figure of circle and quadrilateral is 50 degrees. Option A is correct.

The measure of angle between the two points of a ray or line is the measure of rotation between these two points. The angles are measured in degrees or radians.  

The figure given in the problem contained a circle and a quadrilateral.

In this figure, the measure of the angle b is,

[tex]m\angle d =65^o[/tex]

Here, the two tangent lines AD and DC cuts the circle at point A and C respectively.

Let the center of the circle is O. Thus the angle b is equal to the angle AOC by the tangent line theorem as,

[tex]\angle O =2m\angle b=130 ^o[/tex]

The sum of angle AOC and the angle D is equal to 180 degrees. Therefore,

[tex]\angle AOC+m\angle d=180\\130++m\angle d=180\\m\angle d=180-130\\m\angle d=50^o[/tex]

Hence, the measure of the angle d for m angle b = 65 in the figure of circle and quadrilateral is 50 degrees. Option A is correct.

Learn more about the measure of angle here;

https://brainly.com/question/25716982

Solution:

X= 39 degree.

[being alternate angles]

Alternate angles are always equal

Hope it will help you

Answer:

The number is 24

Step-by-step explanation:

The quotient is the answer of a division problem. If a number is divided by 3 and the answer is 8, then the number would be 24. You could set it up into an  equation.

x/3=8

then you multiply both sides by 3 and you will get

x=24

The quotient is indeed the number generated by dividing one integer by the other. Whenever a fraction is simplified, the division is the whole amount that results.

Calculation of the equation:

[tex]\to \bold{\frac{x}{3}=8}\\\\\to \bold{x=8\times 3} \\\\\to \bold{x=24}[/tex]

Therefore, the final answer is "24".

Learn more:

brainly.com/question/17331426

Answer:

397.16

Step-by-step explanation:

Area of a circle: (3.14)r^2

(3.14)(12)^2

(3.14)(144)

=452.16

452.16-(11*5)

452.16-55

=397.16

Answer:

(B)

Step-by-step explanation:

We have the equation:

[tex]y-3=-2(x+5)[/tex]

Convert into Slope Intercept Form:

[tex]y-3=-2(x+5)[/tex]

[tex]-2*x=-2x\\-2*5 = -10[/tex]

[tex]y-3=-2x-10[/tex]

[tex]y-3+3=-2x-10+3\\\boxed {y=-2x-7}[/tex]

Slope-intercept form is [tex]y=mx+b[/tex].

Since '-7' is in the 'b spot', the y-intercept of the line would be -7, or option B.

Option B should be the correct answer.

Answer:

y intercept is -7

Step-by-step explanation:

y - 3 = -2 (x+5)

This is point slope form

We want to get this to slope intercept form

y=mx+b  where m is the slope and b is the y intercept

Distribute

y-3 = -2x-10

Add 3 to each side

y-3+3 = -2x-10+3

y = -2x-7

The slope is -2 and the y intercept is -7

Answer:

£11.85

Step-by-step explanation:

In the question, we are told that:

In 2016 she earned a monthly salary of £2,100

In 2017 she had a 3% raise

This means 3% of £2,100

3/100×£2,100 = £63

This means her salary for 2017 =

£63 + £2,100 =£2,163

Step 2

We are told in the question that she worked 42 hours per week for 45 weeks in 2017

Since her monthly pay for 2017 = £2,163

She worked 42 hours per week

There are 7 days in one week

The number of hours she worked per day = 42 hours ÷ 7 = 6 hours per day

4.345 weeks= 1 month

The number of hours she worked per month = 42 hours × 4.345 weeks

= 182.49 hours.

We can say that for 182.49 hours she was paid = £2,163

Her average pay per hour is calculated as:

If 182.49 hours = £2,163

1 hour = represented by Y

Cross multiply

182.49Y = £2,163

Y = £2,163 ÷ 182.49

Y = £11.852704258

Approximately = £11.85

Therefore, Elise Average pay per hour for the year = £11.85

Answer:

poopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopoop  

Step-by-step explanation:

The answer is D! (I think we have the same curriculum lol)

Answer:

d

Step-by-step explanation:

Answer:

The answer is C There were no mosques on the African continent.  

Step-by-step explanation:

Answer:

Line N is a vertical line with an undefined slope

Step-by-step explanation:

To find slope we do (y2-y1)/(x2-x1)

So we do that with (-1,4) and (-1,-4)

(-4-4)/(-1-(-1))

-8/0

Since the denominator is 0, that means the slope is undefined because you cannot divide by 0

Answer:

x = 4 ±√26

Step-by-step explanation:

Please write this as x^2 - 8x = 10, or x^2 - 8x - 10 = 0.  " ^ " indicates exponentiation.

Let's complete the square:

x^2 - 8 x can be rewritten as

x^2 - 8x + 16 - 16, and so

x^2 - 8x = 10 becomes x^2 - 8x + 16 - 16 - 10 = 0, or

                                         (x - 4)^2 = 26

Taking the square root of both sides, we get:

x - 4 = ±√26, or

x = 4 ±√26

Answer:

Step-by-step explanation:

Answer:

-1059

Step-by-step explanation:

Katelyn, this is super easy to understand.

Anyways, to find the 96th term of the sequence, first subtract -14 and -3. You may be thinking it is -17, but it is not. -17 is only if you are subtracting -14 and 3.

(-14) - (-3) = -14 + 3 = -11.

That means the difference between each number is -11.

Now all you have to do is take the -11 and multiply it by 96, which is -1056. Then, add the -1056 to -3, which is -1059. That should be your answer.

Your school may have taught you a different way, but this is my way.

Answer:

80

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

To find the median, you must order all of the numbers from least to greatest.            Least to greatest: 13, 27, 33, 41, 60, 74, 80, 80, 80, 88, 91       Then, you must find the middle number in that set.

13, 27, 33, 41, 60, 74, 80, 80, 80, 88, 91

So, in conclusion, the median is 74.

Answer:

I believe the answer is 7 and a half days

Step-by-step explanation:

15* [tex]\frac{1}{2}[/tex]= 7.5

If you take the 15 and multiply it by the [tex]\frac{1}{2}[/tex] you will get 7.5. Even if you divide the 15 by

Apologies if this is wrong. But I think this is the answer.

Hope I could help :)

Answer:

30 days

Step-by-step explanation:

1 day : ½

x days : 15

x/15 = 1/½

x/15 = 2

x = 30

Answer:

Diagram B

Step-by-step explanation:

Answer:

L = (x - 2) meters

Step-by-step explanation:

The area of the rectangle = (x² - 7x + 10) m²

The width = (x - 5) m

length = ?

Area of a rectangle = length × width

x² - 7x + 10 = L(x -5)

note L = length

divide both sides by (x-5)

(x² - 7x + 10)/(x - 5) = L

L = x² - 7x + 10 / (x -5)

Factorize x² - 7x + 10

find the numbers you can multiply to give you 10 and also add to give you -7

The numbers are -2 and -5. Therefore,

x² - 2x - 5x + 10 = 0

x(x - 2) - 5(x - 2) = 0

(x-5)(x-2) = 0

Let us go back to our division

L = x² - 7x + 10 / (x -5)

x² - 7x + 10 = (x-5)(x-2)

L = (x-5)(x-2) / (x -5)

L = (x - 2) meters

          Finding the Perimeter When Three Side Lengths are Known. Remember the formula for finding the perimeter of a triangle. For a triangle with sides a, b and c, the perimeter P is defined as: P = a + b + c.

                                                 |

NOTE~ idk ab the top ∧ but bottom ∨ im sure.

                         |

What is the Circumradius of a triangle?

    Circumradius. The circumradius of a cyclic polygon is the radius of the circumscribed circle of that polygon. For a triangle, it is the measure of the radius of the circle that circumscribes the triangle. Since every triangle is cyclic, every triangle has a circumscribed circle, or a circumcircle.

Answer:

$210.8 monthly.

Step-by-step explanation:

There are two ways to do this. You can either find out what 11% of $23,000 is by multiplying .11 by $23,000, then subtract this from $23,000 to find the yearly increase, where you can then divide by 12, or you can divide .11 by 12 and then multiply this by $23,000. I did the former and got $210.8 as an answer.

Answer:

(x-1)^2+(y-2)^2=6.25

Step-by-step explanation:

Origin: (1, 2)

Radius: 2 1/2

(x-1)^2+(y-2)^2=2.5^2

(x-1)^2+(y-2)^2=6.25

Answer: ( x - 1 )^2 + ( y - 2 )^2 = 6.25

Step-by-step explanation:

Answer:

Logic

Step-by-step explanation:

Logic. the study of correct reasoning. Socratic method. question-and-answer dialogue in which propositions are methodically scrutinized to uncover the truth.

Answer:

logic

Step-by-step explanation:

Answer:

They feel like they are superior to you, and think that you won't find out that they are bein fake.

Step-by-step explanation:

It's either that or they just want people to like them, so they become fake in order to fit into society.

Answer:

13) -5, 1/4, [tex]\pi[/tex], [tex]\sqrt{19}[/tex]

14) -[tex]\sqrt{11}[/tex], -2, 0, 2 1/2

Answer:

45 bricks

Step-by-step explanation:

- With the knowledge of the 11,700 in^3 being used. We would need to have the measurements of the brick in that form as well. So in order to find the volume, we must multiply all sides. (13*5*4) = 260 in^3

- Now we have both numbers, we can just divide 11,700 by 260. This will give us 45. Meaning that 45 bricks are made.

Answer:

268+v2)3+p=8     =p=−3v2−796

Step-by-step explanation:

Let's solve for p.

(268+v2)(3)+p=8

Step 1: Add -804 to both sides.

3v2+p+804+−804=8+−804

3v2+p=−796

Step 2: Add -3v^2 to both sides.

3v2+p+−3v2=−796+−3v2

p=−3v2−796

Hope this helps.

Answer:

b=-4

Step-by-step explanation:

80=-20b

If you divide -20 from both sides, you get -4=b. That's the answer.

PLZ MARK BRAINLIEST!!!

Answer:

-4

Step-by-step explanation:

80= - 20b

divide both by -20

that gives us -4=b

so, b= -4

Have a great day