10 You are planning a party for a group of friends. The cost of
the party will be $30 to rent the room plus $5 per person.
You have a budget of $75. Which inequality gives you the
best estimate of the number of people p that you can invite
to your party?

Answer:

24 in long by 12 in wide.

Step-by-step explanation:

l=2w

288=(2w)×w

288=2w^2

144=w^2

12=w

width is 12 inches. Plug that in to find length...

l=2×12

l=24

Answer:

Workdone = 4900joules

Step-by-step explanation:

Work-done = force x distance

Force = mass x acceleration

If we suppose that the aquarium is at height 0 at the top and height 1 at the bottom (since it's 1m deep), then we need to lift the slide at height x by x metres.

Mass = Density x Volume, therefore force needed to lift the slice is given is

F = density*volume*∆x*acceleration

Since we the mass changes as we take out water then there will be a change in height, for this reason we have ∆x.

Acceleration is due to gravity, therefore g=9.8m/s²

Density = 1000kg/m³

Volume = 4*1*1 = 4m³

F = 1000*4*∆x*9.8 = 39200∆x

Since our distance from the top of the aquarium to the bottom is x metres, then

Work-done = 39200x∆x

To find the total workdone, we find the integral of 39200xdx and the limit will be from 0 to 0.5 since we are to pump halfway of the aquarium. Integrating that we have

19600*x² limit from 0 to 0.5

19600(0.5² – 0²) = 19600(0.25 – 0) = 19600(0.25) = 4900joules

Answer:

B. 37 units

Step-by-step explanation:

DE = 4x + 1

AB = 11x - 25

DE is a midsegment of the ∆ABC

Therefore:

DE = ½(AB) => Triangle Midsegment Theorem

4x + 1 = ½(11x - 25)

2(4x + 1) = 11x - 25

8x + 2 = 11x - 25

Collect like terms

8x - 11x = -2 - 25

-3x = -27

-3x/-3 = -27/-3

x = 9

✔️DE = 4x + 1

Plug in the value of x

DE = 4(9) + 1 = 36 + 1

DE = 37

Answer:

16

Step-by-step explanation:

Equation : 6x+2=5x+18

Like Terms : x + 2 = 18

Like Terms Again : x = 16

Answer:

6x+2=5x+18

6x-5x=18-2

X=16

Step-by-step explanation:

First you need to group numbers of like terms in one side. Then when you take the other number to the other side of equal sign changes it's form eg +6 change to - 6

Answer:

hot dog and baloney :>

Step-by-step explanation:

yeet

Answer:

Hot dog and baloney

Chicken and macaroni

Chilling with my homies

I heard it so many times :)

Answer:  0.42171717 miles

Step-by-step explanation:

 for  inches to mile conversion  divide  by 63350

so got 0.421717

it's not possible

I think -7 is the right answer but it's not possible actually

Answer:

c. -7

Step-by-step explanation:

(x+57) + (63+67) = 180

(x+57) + 130 = 180

x + 187 = 180

x = 180-187

x = -7

why did I make it equal to 180?

all the angles in a triangle always equal 180 :)

Answer:

30

Step-by-step explanation:

length x width = surface area

7.5 x 4 = 30

Answer:

1/6

Step-by-step explanation:

The missing piece of information is ∠C ≅ ∠C′

From the figure,  we have:

AB ≅ A'B'

<B ≅ <B'

The above means that:

The congruence theorem is given as:

AAS --- Angle Angle Theorem

i.e.

Two corresponding angles and one corresponding side are congruent

Since a congruent side and a congruent angle have been given;

We need a congruent angle to complete the piece

In this case, we have:

∠C ≅ ∠C′

Hence, the missing piece of information is ∠C ≅ ∠C′

Read more about congruent triangles at:

https://brainly.com/question/1675117

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Answer:1.40

2.20

3.100

4.39

5.7

7

Step-by-step explanation:

Answer:

2/10 + 30/100 = 50/100

Step-by-step explanation:

First, you want to multiply 2/10 by 10, to get the same common denominator in both numbers, you would get 20/100. Then, its pretty simple from there, you just add the number that gets you to 50, which is 30, 20 + 30 =50. I Hope This Helps :)

The required missing number is 30. So, the correct answer is (a) 30.

Arithmetic is a branch of mathematics that deals with the study of numbers, their properties, and their operations. It involves the basic operations of addition, subtraction, multiplication, and division.

Here,
To find the missing number, we can use the fact that 50/100 is equivalent to 1/2.

So, we need to find a number that, when added to 2/10, gives 1/2 as the sum.

We can write this as an equation:

2/10 + x/100 = 1/2

Multiplying both sides by 100 to eliminate the denominator, we get:

20 + x = 50

Subtracting 20 from both sides, we get:

x = 30

Therefore, the missing number is 30. So, the correct answer is (a) 30.

Learn more about arithmetic here:

https://brainly.com/question/11424589

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The area of the region is equal to the area under the curve y = cos(x) over the interval 0 ≤ x ≤ π/6, given by the integral

[tex]\displaystyle\int_0^{\frac\pi6}\cos(x)\,\mathrm dx = \sin(x)\bigg|_0^{\frac\pi6}=\sin\left(\frac\pi6\right)-\sin(0)=\boxed{\frac12}[/tex]

which follows from

• the fact that d/dx [sin(x)] = cos(x)

• the fundamental theorem of calculus

Answer:

i think the awnser is c . if unattended, leave the horse tire up

Answer:

Amount per month contributed by employer $ = 200*0.70 = 140

Total amount employer contributes $ = 140*420 = 58800

Total amount employee contributes $ = 200*420 = 84000

Total amount after 35 years with interest calculated AT 4.8% (Employer + employee + interest) $ = 371024.67

Interest amount for 35 years accumulated $ = 228224.67

Amount deposited by employee $ = 84000

Excess amount in the account over the employee contribution

Including employer contribution $ = 287024.67

Excluding employer contribution $ = 228224.67

Step-by-step explanation:

LOOK AT THE PICTURE FOR STEPS

Answer:

there are infinitely many solutions

Step-by-step explanation:

1/2(b + 14) is the same as (b + 14) / 2

Answer:

D

Step-by-step explanation:

it is a quadratic trinomial

Answer:

38 plus 52 is in fact 90, but Sin and Cos will be different.

Step-by-step explanation:

Honestly I haven't learned Sin or Cos

Answer:

The cone volume that has a diameter of 20cm and a height of 12cm is 5,026.548246 cm^3 or 5,027 cm^3

Make sure to round your answer to the nearest significant figure that you're asked.

Step-by-step explanation:

The formula for the volume of a cone is (height x π x (diameter / 2)^2)/3, where (diameter / 2) is the radius of the base (d - 2 x r), so another way to write it is (height x π x radius^2) / 3

Answer:

7t/5^3 + 5t^2 + 4t^3

Step-by-step explanation: