Big sleds must hold 3 children and small sleds must hold 2 children.
If 17 children want to go sledding at the same time, how many of each
type of sled is needed?

Answer:

P(x) = 4n+5

P(4) = 4(4)+5

P(4) = 16+5

P(4) = 21

The answer is 21.

Let me know if this helps!

Answer:

I think its average

Step-by-step explanation:

not sure:)

Answer: it is average

Step-by-step explanation: just done It

Answer:

8×4=32 and 8 groups of 4 equals 32.

Step-by-step explanation:

V=4/3πr^3

V=4/3π(3.85)^3

V=4/3π(57.066625)

V=4/3 (179.280089865)

V=239.04011982

V=239 ft^3

Answer:

y = 2/3x + 4/3

Step-by-step explanation:

i found the slope using [tex]\frac{rise}{run}[/tex]. so it would be 2/3. next i just kinda tested similar numbers in the graph to find b.

if you aren't allowed to put factions i would say put:

y = 0.67x + 1.33

Answer:

[tex]2x - 3y + 4 = 0[/tex]

Step-by-step explanation:

The formula of finding equation of two different point is

[tex] \frac{x - x1}{x1 - x2} = \frac{y - y1}{y1 - y2} [/tex]

here, x1 =1, x2=4, y1= 2 and y2= 4

hope you can understand.

Answer:

37500

Step-by-step explanation:

pattern is multiplying by -5.

-7,500*-5 = 37,500

Have a nice day! :-)

Answer:

9. Always

10. Never

11. Always

12. Sometimes

Step-by-step explanation:

Answer:

123,000 grams

Step-by-step explanation:

1000 mg is equivalent to 1 gram.

Answer:

123000g

Step-by-step explanation:

1000mg=1g

123000000mg= xgrams

cross multiplying,

you'll have

[tex] \frac{123000000}{1000} = 123000[/tex]

Answer:

x=0,1,±2

Step-by-step explanation:

x^3(x^2-5)=-4x

x^2(x^2-5)=-4

Take x^2=a, we have

a*(a-5)=-4, a^2-5a+4=0, (a-1)(a-4)=0, a=1,4

x^2=0, 1, 4. x=0,1,±2

Answer:

x = 1 and x = 2

Step-by-step explanation:

[tex] {x}^{5} - 5 {x}^{3} = - 4x \\ {x}^{4} - 5 {x}^{2} + 4 = 0 \\ ( {x}^{2} - 4)( {x}^{2} - 1)=0[/tex]

x² = 4 or x² = 1

Since x > 0, the negative integers are rejected and the solutions to this equations are x = 1 and x = 2

Answer:

Darnell used 4 of the pages.

Step-by-step explanation:

6 times 6 is 36, and 9 goes into 36 4 times. Therefore, if Darnell put 9 cards on every page, he used 4 pages.

Darnell bought 6 packs of baseball cards. There were 6 cards In each pack. Darnell uses 4 pages of the card book.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Darnell bought 6 packs of baseball cards.

There were 6 cards In each pack.

Darnell put all his cards in a card book. He put 9 cards on each page.

1 pack: 6 cards

6 packs: x cards.

x = 6 x 6

= 36

Darnell bought 36 baseball cards.

1 page: 9 cards

x pages: 36 cards

x = 36/9

= 4

Therefore, Darnell used 4 pages of his card book.

Learn more about the unitary method;

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Answer:

The answer is 87

Step-by-step explanation:

Because the parking space are number from 86 to 91

From 86 they add 1 to every number

Answer:

1.  see attached diagram

2. The dimensions are 75 sqrt(2) by 75 sqrt(2) ft

3. The perimeter is 300 sqrt(2) ft

4. cannot fit 40 machines along the walls

Step-by-step explanation:

We are using a top down view.  We have a square building with side length s.  The diagonal is 150 ft

Using the Pythagorean theorem

s^2 + s^2 = 150^2

2s^2 = 22500

s^2 =11250

Taking the square root of each side

sqrt(s^2) = sqrt(11250)

s = sqrt(6225*2)

s = 75 sqrt(2)

The dimensions are 75 sqrt(2) by 75 sqrt(2) ft

The perimeter of a square is given by

P = 4s = 4(75 sqrt(2)) =300 sqrt(2) ft

The perimeter is 300 sqrt(2) ft

Assuming the machines are square ( that they are as wide as they are long) 75 sqrt(2) is approximately 106 ft  so you can fit 10 along the wall

Putting them along the top and bottom walls = 20 machines

We are only left with 86 ft along the side walls

86/10 = 8 machines  

machines * 2 walls = 16

We can fit 20+16 machines = 36 machines not 40

(a) The radius of the circle is the distance the wave travels since it first formed, so if g(t) is the radius of the circle at time t, then it changes at a rate according to

dg/dt = 60 cm/s

Integrate both sides with respect to t to solve for g :

∫ dg/dt dt = ∫ (60 cm/s) dt

g(t) = (60 cm/s) t + C

but C = 0 since the radius at t = 0 must be 0.

g(t) = (60 cm/s) t

(b) The area of any circle with radius r is πr ². So

f(r) = πr ²

(c) The composition of f with g represents the area of water encircled by the wave at time t :

(f o g)(t) = f(g(t)) = π g(t) ²

Answer:

Just restart your computer

Answer:

x=50

Step-by-step explanation:

Let's look at the red angle. if a flat line makes the angle 180, and the outer angle is 120, subtract 120 from 180. This will give you 60. Now every angle of a triangle added together will give you the sum of 180. So you already have 60 and 70, which make 130 all together. Subract 130 from 180 - (180-130) - and you'll get the result of 50.

The solution is :  the measure of the missing angle X is x=50.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given diagram, we get,

Let's look at the red angle.

if a flat line makes the angle 180, and the outer angle is 120,

subtract 120 from 180.

This will give you 60.

Now every angle of a triangle added together will give you the sum of 180.

So you already have 60 and 70,

which make 130 all together.

Subtract 130 from 180

i.e. (180-130) = 50

and we get the result of 50.

Hence, The solution is :  the measure of the missing angle X is x=50.

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Answer:

(0, 6), (4, 4), and (0, -4)

Step-by-step explanation:

basically you pick 2 sides (each with endpoints at two of the three verticies) to be the adjacent sides, and then you can easily find the fourth vertex for each case.

Answer:

[tex]y = 5 {x} + 1[/tex]

when x is 0:

y = 5(0) + 1

y = 1 ( 5th box )

when x is 1:

y = 5(1)+1

y = 6 ( 6th box )

hence true for other values

Answer:

y=0.6x2+5x+1.1

Step-by-step explanation:

gjtgdgjdgdjxjfsbgsyuahjduegd love

Answer:

2/9 ÷ 4/3

Step-by-step explanation:

Answer:

P (−1)n(n+1)(n+2) (n+1)3 converges

Step-by-step explanation:

Answer:

17 =x

Step-by-step explanation:

These are alternate interior angles and alternate interior angles are equal when the lines are parallel

9x+7 = 10x-10

Subtract 9x from each side

9x+7-9x = 10x-10-9x

7 = x-10

Add 10 to each side

7+10 =x-10+10

17 =x

Answer:

$45.63

Step-by-step explanation:

[tex]50,145 cm^{3} * 2.6 g/cm^3 = 130,377 g\\130,377 g = 130.377 kg\\130.377 kg * $0.35/kg = $45.63\\[/tex]

or all together    

50,145 cm³  *  2.6 g/cm³ * 0.35/kg =  $45.63

Answer:

No

Step-by-step explanation:

One way to tell if a number is rational is if it can be written as a fraction. Anything that can be written as a fraction of two integers is rational.

-6/11 is a fraction with integer numerators and denominators.

Therefore it is rational.

Answer:

556

Step-by-step explanation:

Surface area of the cuboid=2*(lb+bh+lh)

Surface area=2*(110+80+88)=556

Answer:

arc length = 4π units

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{90}{360}[/tex]

     = 2π × 8 × [tex]\frac{1}{4}[/tex]

     = 2π × 2

    = 4π units ← exact answer

Answer:

Step-by-step explanation:

7/12-2/5

We will find the LCM of it to make the denominators same.

Which is 60

Now to make denominators same

7/12×5/5

= 35/60

2/5×12/12

= 24/60

Now using these like values

35/60-24/60

= 11/60

The fraction is already in lowest terms

Must click thanks and mark brainliest

Answer:

0.375

Step-by-step explanation:

Hope this helps!

Answer:

0.375

Step-by-step explanation:

Dividing:

8)3.000(0.375

   24

      60

      56

         40

          40

           ..

Answer:

Step-by-step explanation:

2a.x=10+5

b. x=11-7

C. x=5*2

Answer:

a. x-5=10

x=10+5

x=15

b. x+7=11

x=11-7

x=4

c. x/2=5

x=5*2

x=10

d. 4x=24

x=24/4

x=6