Complete the sentence?

Answer:

There are 42 dogs and 105 cats at the shelter. To find the number of rabbits, subtract these numbers from the total number of animals at the shelter. So there are 21 rabbits at the shelter.

Step-by-step explanation:

Because there are 168 animals at the shelter and [tex]\frac{1}{4}[/tex] of the animals are dogs, you can infer that there are [tex]\frac{168}{4}[/tex] or 42 dogs at the shelter. The question says that [tex]\frac{5}{6}[/tex] of the remaining animals are cats, which you can get two things from this statement: #1, [tex]\frac{5}{6}[/tex] of the remaining animals (not including dogs) are cats in the shelter. #2, [tex]\frac{1}{6}[/tex] of the remaining animals (not including dogs) are rabbits in the shelter, since that is the remaining number of animals left that aren't cats or dogs. Using this, you can get the number of cats is the number of dogs subtracted by the total number of animals at the shelter and multiplied by [tex]\frac{5}{6}[/tex], which would be  [tex]\frac{5}{6}[/tex](168 - 42) = [tex]\frac{5}{6}[/tex]*126 = 5 * 21 = 105 cats at the animal shelter. Since the number of rabbits is [tex]\frac{1}{5}[/tex] the number of cats in the shelter ([tex]\frac{5}{6}[/tex] = [tex]\frac{1}{6}[/tex] * 5), that means there are [tex]\frac{105}{5}[/tex] or 21 rabbits at the animal shelter, and that we'd need to subtract the number of cats and dogs from the total number of animals at the shelter to find the number of rabbits.

Answer:

170 pages

Step-by-step explanation:

Answer:

y = -x

Step-by-step explanation:

This has a negative slope. :)

Answer:

y=-6/8x+0.

Step-by-step explanation:

You go up 6 from the point, 8 to the left, getting you to the y intercept. Which is 0.

Answer:

120°

Step-by-step explanation:

31 + 29 = 60

180 - 60 = 120

I think its option c, if you reflect it over the y axis it will be right above it and if you go 270 degrees counter clockwise thats like going from 9 pm to 12 am

12 am is right above 9 pm but it occurs before 9pm.

Answer:

2(3.5g - 4.5h)

Step-by-step explanation:

factoring the expression (i think that what its called) i divided the expression into two and then put two on teh isde of the parenthesis to show that you multiply it again

Answer:

79 degrees.

Step-by-step explanation:

There are 7 total temperatures, 68, 82, 81, 82, 74, 75, and 91 degrees. To find the mean, we add all of the temperatures together and divide it by the number of tempuratures-- 7.

68+82+81+82+74+75+91 = 553.

553 / 7 = 79.

Hope this helps!

Answer:

The last one I think

Step-by-step explanation:

I’m not 100% sure

Answer:

The correct answer is C

Step-by-step explanation:

Hope this helps!

Answer:

Volume left = 404.32 cubic inches

Step-by-step explanation:

volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

volume of ice cream in the cylindrical tub = [tex]\frac{22}{7}[/tex] x [tex]5^{2}[/tex] x 9

                                           = [tex]\frac{22}{7}[/tex] x 25 x 9

                                           = 707.1429

Volume of ice cream in the cylindrical tub is 707.14 cubic inches.

The ice cream scoop has a spherical volume, so that;

volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

r = [tex]\frac{2.5}{2}[/tex]

 = [tex]\frac{5}{4}[/tex] inches

volume of the scoop = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](\frac{5}{4} )^{3}[/tex]

                                  = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex]\frac{125}{64}[/tex]

                                  = 8.1845

volume of the scoop is 8.19 cubic inches.

If he scoops 37 scoops,

volume of the 37 scoops = 37 x 8.1845

                                          = 302.8265

volume of 37 scoops is 302.83 cubic inches.

Volume of ice cream left in the tub = 707.1429 - 302.8265

                                                           = 404.3164

Volume of ice cream left in the tub is 404.32 cubic inches.

Answer:

The area of the trapezoid is 57.5 in.²

Step-by-step explanation:

The given information of the trapezoid are;

The vertices of the trapezoid = QRST

The altitude of the trapezoid = 5 in.

The shape the altitude divides the trapezoid into = A square and an isosceles right triangle

The long side of the rectangle = 9 in.

Therefore, we have;

The legs of an isosceles right triangle are equal

Given that one of the legs of the isosceles right triangle = The altitude of the triangle = 5 in.

Therefore, for the isosceles triangle, the length of the other leg = 5 in.

Therefore;

The area of the right triangle = 1/2 × Base × Height (altitude)

The area of the right triangle = 1/2 × Leg × leg = 1/2 × (Leg)²

∴ The area of the right triangle = 1/2 × 5 in. × 5 in. = 12.5 in.²

The length of the rectangle is given as l = 9 in.

The height of the rectangle, h = The altitude of the rectangle = 5 in.

The area of the rectangle, A = l × h

∴ The area of the rectangle, A = 9 in. × 5 in. = 45 in.²

The area of the trapezoid = The area of the right triangle + The area of the rectangle

The area of the trapezoid = 12.5 in.² + 45 in.² = 57.5 in.²

Answer:

[tex]\displaystyle ST ≈ 15,9\\ RT ≈ 30,8 \\ m∠S = 111°[/tex]

Step-by-step explanation:

First off, find [tex]\displaystyle m∠S:[/tex]

[tex]\displaystyle 180° = 58° + 31° + m∠S → 180° = 89° + m∠S \\ 111° = m∠S[/tex]

Now that the third angle has been defined, we can move move forward with solving for a second edge, using the Law of Sines, but before proceeding, here are some things you should know about this triangle:

Now that we have the information, we can proceed with the process:

[tex]\displaystyle \frac{t}{sin∠T} = \frac{s}{sin∠S} = \frac{r}{sin∠R} \\ \\ \frac{28}{sin\:58°} = \frac{s}{sin\:111°} → \frac{28sin\:111°}{sin\:58°} → 30,82402055... = s \\ 30,8 ≈ s[/tex]

_______________________________________________

Now that RT has been defined, we can now proceed to solving the third edge, using the Law of Cosines:

[tex]\displaystyle s^2 + r^2 - 2sr\: cos∠T = t^2 \\ t^2 + r^2 - 2tr\: cos∠S = s^2 \\ t^2 + s^2 - 2ts\: cos∠R = r^2 \\ \\ 28^2 + 30,8^2 - 2[28][30]\: cos\:31° = r^2 → 784 + 948,64 - 1680\: cos\:31° = r^2 → \sqrt{254,1978397...} = \sqrt{r^2} → 15,94358303... = r \\ 15,9 ≈ r[/tex]

Your triangle is now complete!

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

In this case, you would use law of sines due due you being given two angles and one side.

LAW OF ANGLES IN TRIANGLES: 180 - a - b = c

So in this case: 180 - 31 - 58 = m<S = 91

LAW OF SINE: sin A / a = sin B / b = sin C / c

So in this case: sin 31 / ST = sin 58 / 28

28 sin 31 / sin 58 = ST = 17.0

sin 58 / 28 = sin 91 / x

28 sin 91 / sin 58 = RT = 33.0

Answer:

Dan made more

Step-by-step explanation:

Dan: 227×70=15,890 15% of 15,890 is 2,383.50

Mike:251×90=22,590 15% of 22,590 is 2,259

Answer:

A concept in geology that describes transitions and relationships among the three main rock types

please mark as brainliest.

Answer:

b. A concept in geology that describes transitions and relationships among the three main rock types. and

c. A series of processes that create and transform the types of rocks in Earth's crust

Step-by-step explanation:

ive studied and this is correct because i took the test and i  got it correct

please give me 5 stars

Answer:

Step-by-step explanation:

1/16

2^-2 * 2^-2

2^2 * 2^-6

1/4^-2

Answer:

40% of 300=120

Step-by-step explanation:

40% of 300= 40/100 x 300= 40x3= 120 students

Answer:

Zero

Step-by-step explanation:

a=0

So a is neither positive nor negative, its zero.

Please mark brainliest to get your points back!

Answer:

The angle measure is 43 degrees

Step-by-step explanation:

The right angle adds up to 90 degrees in whole, you already have 47 degrees so you want to subtract 47 from 90, then you will get your answer.

Answer:

circle graph

Step-by-step explanation:

Answer:

answr is circle graph

Step-by-step explanation:

Answer:

150 miles

Step-by-step explanation:

(50 mph)(3 hrs) = 150 miles

Answer:

y = x + 6

Step-by-step explanation:

Given:

Passes through (-4, 2)

m = 1

Slope-intercept:

y - y1 = m(x - x1)

y - 2 = 1(x + 4)

y - 2 = x + 4

y = x + 6

Answer:

Both rectangles and squares have four sides of equal length

Answer:

x = -30

Step-by-step explanation:

I'm assuming you want us to find the value of x, so:

–3/5x + 5 + x = –7

Subtract 5 from both sides

-3/5x + x = -12

multiply by -1

3/5x - x = 12

add like terms:

-2/5x = 12

multiply by -2.5

x = -30

Answer:

Hi! The answer to your question is -2x^2+2x+6=0

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

RQ × RP = RS × RT

9 × ( 9 + 13 ) = 11 × RT

9 × 22 = 11 × RT

Divide sides by 11

9 × 22 / 11 = 11 × RT / 11

Simplification

9 × 2 = RT

RT = 18

Answer: RT=18

Step-by-step explanation: I’m going to be using this formula: RQ•RP=RS•RT

9•22=198

ST=7

11•18=198

Therefore RT=18

Answer:

4xy are binomials because it only had one term

Answer:

the answers are B, C, E

Step-by-step explanation:

x2y – 3x

6y2 – y

4xy –  two-fifths

Answer:

39,600

Step-by-step explanation:

Free answer

Answer:

area of the figure= 58.3ft²

Step-by-step explanation:

area of the figure= area of trapezoid+ area of a rectangle

area of the figure= [½(a+b)*height]+ (length*breadth)

area of the figure= [½(3+14)*3]+ (11*3)

area of the figure=25.3+ 33

area of the figure= 58.3ft².