A pet store owner, Brooklyn, needs to determine how much food she needs to feed the animals. Brooklyn knows that she needs to order the same amount of bird food as hamster food. She needs four times as much dog food as bird food and needs half the amount of cat food as dog food. If Brooklyn orders 600 packages of animal food, how much dog food does she buy? Let b represent the number of packages of bird food Brooklyn purchased for the pet store.

Answer:

There are 24 ways to select one book of each type.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]

It is provided that there are 6 different biographies and 4 different mystery novels on a bookshelf.

Compute the number of ways to select a biography as follows:

Number of ways to select a biography =

[tex]={6\choose 1}\\\\=\frac{6!}{1!(6-1)!}\\\\=\frac{6\times 5!}{1\times 5!}\\\\=6[/tex]

There are 6 ways to select a biography.

Compute the number of ways to select a mystery novel as follows:

Number of ways to select a mystery novel =

[tex]={4\choose 1}\\\\=\frac{4!}{1!(4-1)!}\\\\=\frac{4\times 3!}{1\times 3!}\\\\=4[/tex]

There are 4 ways to select a mystery novel.

Then the total number of way to select one book of each type is:

[tex]{6\choose 1}\times {4\choose 1}=6\times 4=24[/tex]

Thus, there are 24 ways to select one book of each type.

Answer:

Step-by-step explanation:

32

Answer:

C.)  The ball was thrown from a height of 3 feet

Step-by-step explanation:

In the standard form of a quadratic function, f(x) = ax² + bx + c,

c is the constant term (also known as the y-intercept of the parabola)

In this situation, the ball is thrown up into the air and the flight path will be in the shape of a parabola

The equation y = -16t² + 40t + 3 has a y-intercept of 3, meaning the flight path began at 3 feet above the ground, as you can imagine by looking at the graph of the equation, below.  The y-intercept is at (0,3)

Answer:

This has one solution

Step-by-step explanation:

5x+8-7x=-4x+1

Combine like terms

-2x+8 = -4x+1

Add 4x to each side

-2x+4x+8 = -4x+4x+1

2x+8 = 1

Subtract 8 from each side

2x+8-8=1-8

2x = -7

Divide by 2

2x/2 = -7/2

x = -7/2

Answer:

One solution

Step-by-step explanation:

did it on khan:)

Answer:

-679

Step-by-step explanation:

14 + (78 - 1) × -9

= 14 + (77)-9

= 14 - 693

= -689

Answer:

Cost of the tires in 2008 = 23333 dollars

Step-by-step explanation:

Number of snow tires purchased are represented by,

T = [tex]\frac{500(t+20)}{(t+75)}[/tex]

Where t = duration from year 2000

Similarly, cost of the tires area represented by,

C = [tex]\frac{t+75}{1-.05t}[/tex]

Therefore, cost of T tires = C × T

= [tex]\frac{t+75}{1-.05t}[/tex] × [tex]\frac{500(t+20)}{(t+75)}[/tex]

= [tex]\frac{500(t+20)}{1-0.05t}[/tex]

Now cost of the tires in year 2008 (t = 8 years)

Total cost = [tex]\frac{500(8+20)}{(1-0.05\times 8)}[/tex]

                 = [tex]\frac{14000}{0.6}[/tex]            

                 = $23333.3

                 ≈ 23333 dollars

Answer:

Step-by-step explanation:

32.5 is 1/10 of blank

Is means =. Of means multiply. So, 32.5=1/10*X

Answer:

32.5 is [tex]\frac{1}{10}[/tex] of 325

Step-by-step explanation:

325 ÷ 10 = 32.5

Answer:

10

Step-by-step explanation:

Subtract -4 from 6

6 - -4

Subtracting a negative is like adding

6 +4

10

Answer:

-10

Step-by-step explanation:

If you subtract 6-(-4) it gives you -10

Hope this helps

Answer:

A

Step-by-step explanation:

TX=XZ=ZU=3

XU=XZ+ZU=3+3=6

Answer:

D. 3

Step-by-step explanation:

Answer:

8 and -4

6 and -2

5 and -1

Step-by-step explanation: for example 6 and -2. If you add negative 2 and a positive 6  they will equal 4.  

try 22

Step-by-step explanation: Maybe it could work, hope it. helps,

Khan?

This question is not complete because it lacks the diagram of the Rectangular prism.

Answer:

Attached to this diagram is the necessary diagram

• A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.

• A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

• A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

Step-by-step explanation:

A right rectangular prism is a prism that is 3 dimensional in shape and it has 6 rectangular faces.

From the attached diagram, we can see that their is a cross section that is parallel to the base, it has breadth of 8 inches and breathe of 15inches, therefore the option

"• A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches." is correct.

Secondly, when we look at the diagram and check the midpoints thought the 8 inches sides , the cross section perpendicular to the base is a rectangle that has a length of 6 inches and a breadth of 15 inches . Therefore the option

"• A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches." Is correct

Thirdly, by observing the attached diaiagram,

• A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches is correct.

Answer:

A

Step-by-step explanation:

As they have the same slope they should be parallel so a is the answer

Answer:

Graph D (-1, -2)

Step-by-step explanation:

I graphed the two equations using a graphing tool.

When graphed, they pass at the point (-1,-2).

(-1, -2) is the solution.

It looks like that graph D has the lines passing at the same point.

Option D should be the correct answer.

Answer:

Step-by-step explanation:

22/7 * 21 = 66cm

65.9 cm

Step-by-step explanation:

The formula for the circumference of a circle is...

[tex]C=\pi d[/tex]

Since the problem asks to round to the nearest tenth, we know that we will convert pi to 3.14. We also know the diameter is 21, so we can put both of these in the formula.

[tex]C=3.14*21[/tex]

C = 65.940

Rounded to the nearest tenth...

C = 65.9 cm

Answer:3.5 and -3.5

Step-by-step explanation:

Because of the absolute value marks a negative will become positive. So 3.5 and |-3.5| are equal to 3.5

Answer:

24 centimetre

hope it is helpful

Answer:

n=26

Step-by-step explanation:

an=a+(n-1)d

80=5+(n-1)3

80=5+3n-3

80-2=3n

78/3=n

n=26

Answer:

38 kg

above is the answer

Answer:

He forgot to multiply 6x by -5

Step-by-step explanation:

8x + 5y = 18

6x + y = -2

-30x - 5y = 10

Answer: C I think

Step-by-step explanation:

Answer:

y-4=1/5(x-7)

Step-by-step explanation:

First, you need to find the slope of the line. From the point (2,3) to the point (7,4), the line rises 1 unit while moving sideways 5. Therefore, the slope of the line is 1/5. Hence, the equation of the line is y-4=1/5(x-7). Hope this helps!

Answer:

The point M(Mx, My) is mid-point of GH with G(Gx, Gy) and H(Hx, Hy).

=> 2*Mx = Gx + Hx => 2*4 = -2 + Hx => Hx = 10

=> 2*My = Gy + Hy => 2*(-3) = 2 + Hy => Hy = -8

=> H(10, -8)

Hope this helps!

:)

The coordinate of the point H is (10, -8) if the midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2).

A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center.

It is given that:

The midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2).

Let (x, y) be the coordinates of endpoint H

H(x, y)

(x - 2)/2 = 4

x - 2 = 8

x = 8 + 2

x = 10

(y + 2)/2 = -3

y + 2 = -6

y = -8

Thus, the coordinate of the point H is (10, -8) if the midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2).

Learn more about the segment bisector here:

brainly.com/question/4137998

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Answer:

∠1 = 117°, ∠2 = 63°

Step-by-step explanation:

∠1 = 117° , and ∠2 = 63° because 117° is supplementary to 63°

Answer:

number of red tags = 200 - 70 - 38 = 92

Step-by-step explanation:

Jordan has a total of 200 name tag and the tags have different varieties of colors. The tags have blue, yellow and red color . Let us find the number of blue  tags

number of blue tags = 35% of 200

number of blue tags = 35/100 × 200

number of blue tags = 70

The number of yellow tags = 38

The remaining number of tags are red color. Therefore the number of red tag will be the total number of tag minus the number of blue tags and the number of yellow tags.

number of red tags = 200 - 70 - 38 = 92

Answer:

15 apples in total

Step-by-step explanation:

Answer:

4075 squares centimeters

Step-by-step explanation:

V=4/3pi(r^3)

V=4/3pi(9^3)

V=3,054 inches^3

Answer:

option 2 is not right angle triangles

Answer:

Option 3 is actually not a right triangle

Hope this helps :)

(Option 3 is an acute scalene triangle, the others are all right scalene)

Answer: 23.8

Step-by-step explanation:

Since sine= opp/hyp we can use the given info to establish

sin39=15/x

x=23.8

Answer:

d) x≈23.8

Step-by-step explanation:

sin 39 = 15/x multiply by x each side

x sin 39 = 15 divide by sin39

x = 15/sin 39

x = 23.84

x≈23.8

Answer:

Step-by-step explanation:

The Venn diagram representing the situation is shown in the attached photo.

G represents the set of people that use the gym.

P represents the set of people that use the swimming pool.

T represents the set of people that use the track.

Since 1 person uses the 3 facilities, it means that

Number of persons that use gym and pool only is 15 - 1 = 14

Number of persons that use pool and track only is 14 - 1 = 13

Number of persons that use gym and track only is 10 - 1 = 9

Number of persons that use gym only is

65 - (14 + 1 + 9) = 41

Number of persons that use pool only is

51 - (14 + 1 + 13) = 23

Number of persons that use track only is

44 - (9 + 1 + 13) = 21

N represents the number of people that use none of the facilities. Since there are 130 people in a sports centre, it means that

41 + 23 + 21 + 9 + 14 + 13 + 1 + N = 130

122 + N = 130

N = 130 - 122

N = 8

Therefore, the probability that a person doesn't use any facilities is

8/130 = 0.062

 [tex]\frac{4}{65}[/tex] is the required probability.

A set is an unorganized well-defined collection of similar types of objects.

Eg : {1,2,3,4,5} or {Science, Maths, English}

Given:-

Total people (n) = 130

People using gym (G) = 65

People using swimming pool (P) = 51

People using track (T)  = 44

(Gym U pool) = 15

(pool U track) = 14

(Gym U track) = 10

(Gym U track U pool) = 1

Using venn diagram :

Total participating people are 41 + 23 + 21 + 14 + 9 + 13 + 1 = 122

since total people are 130, non participants are 130 - 122 = 8

Probability of an event = [tex]\frac{favourable}{total}[/tex] = [tex]\frac{8}{130} = \frac{4}{65}[/tex]

Thus, the probability that a random person doesn't uses any facility is [tex]\frac{4}{65}[/tex]

To know more about Sets visit:

https://brainly.com/question/13458417

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Answer:

540 degrees

Step-by-step explanation:

i think