If (x - 3) represents the side of a cube, what is the
polynomial that represents its volume?​

Answer: 60 kids, 180 adults

Step-by-step explanation:

Let x be the number of children and y be the number of adults eating.

If they have 240 people eating then x+y=240.

If they have to fundraise 1200 then 2x+6y=1200.

Solving the system of equations, we can multiply the first equation by 2 to get 2x+2y=480. Then subtract the two equations and get -4y=-720, so y=180. Substitute y=180 back in to get x=60.

Hope that helped,

-sirswagger21

_______________________________

Hey!!!

Solution,

2x+2x+3x=77

or,7x=77

or,X=77/7

X=11

Replacing value,

2x=2*11

=22

3x=3*11

=33

So, Brian gets £ 22.

Kritika gets £ 22

Peter gets £ 33

Hope it helps...

Good luck on your assignment

_____________________________

Answer:

0.25 rad to the nearest hundredth radian

Step-by-step explanation:

Here is the complete question

Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.  

R(θ) = v₀²sin2θ/32

If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?

Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.

(θ)= ?rad

Solution

R(θ) = v₀²sin2θ/32

If v₀ = 80 ft/s and R(θ) = 95 ft

θ = [sin⁻¹(32R(θ)/v₀²)]/2

= [sin⁻¹(32 × 95/80²)]/2

=  [sin⁻¹(3040/6400)]/2

=  [sin⁻¹(0.475)]/2

= 28.36°/2

= 14.18°

Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad

= 0.25 rad to the nearest hundredth radian

Answer:

Theta= 0.32 rad

or Theta= 1.25 rad

Step-by-step explanation:

On the Aleks explanation

Answer:

Brainliest goes to me!

Step-by-step explanation:

3

3.268

lets only look at 3.2   .......

3.2 is rounded down to 3

Answer:

3.268 rounds to 3

Step-by-step explanation:

Please mark Brainliest

Answer:

52.48

Step-by-step explanation:

find the cross sectional area which is the triangle

triangle = 1/2 x 8.2 x 6.4 = 26.24

then, use the area to multiply by the extended length of 2

26.24 x 2 = 52.48

Answer: x= -4+/- 2i

Step-by-step explanation: Used the formula (b/2)^2  to create a new term. I solved for x.

FYI

+/- means plus or minus sign I couldn't find the symbol on my key board. Hope this helps!

Answer:

(16,14)

Step-by-step explanation:

Dilation is increasing/decreasing something by a factor. The shape remains the same; it's just bigger or smaller.

This shape is a square, so all lines are the same length. Find the distance between C and D (it can honestly be any adjacent points). The distance is 6. You can usually use the distance formula, but since C and D have the same y-coordinate, you can just do |x2-x1|. Since you're multiplying by 2, the new distance should be 12. Since the y-coordinate of A' is 14, the y-coordinate of B is also 14. The x-coordinate should be 12 units away from the new A' (which is (4,14)). B is (16, 14)

Answer:

To dilate from the origin, you would need to multiply each coordinate by 2. For example, for A(2*2,7*2). After you do that to each coordinate, plot the points on a graph(by hand or using Desmos). Then, since it is a square determine point B by counting a certain number of units away from another point. A square has four congruent sides.

Answer:

3.93258426966

Step-by-step explanation:

To 1 d.p = 3.9

Answer:

≈3.9 (3.932584269662921...)

OR

3 R 166

OR

[tex]3\frac{83}{350}[/tex]

Step-by-step explanation:

700÷178=3.932584269662921

700÷178=3 R 166

700÷178=

[tex]3 \frac{166}{700} =\\\\3\frac{83}{350}[/tex]

If you wanted it in decimal form, the decimal would be infinite.

If you wanted it with a remainder, it's 3 R 166

If you wanted it in fractions, it's [tex]3 \frac{83}{350}[/tex]

Answer:

-9/8

Hope this helps

The right answer is - 9/8

please see the attached picture for full solution

Hope it helps..

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]4(x + 2) = 2x + 10[/tex]

Distribute 4(x+2).

[tex]4x+8 = 2x + 10[/tex]

Subtract 2x and 8 from both sides.

[tex]4x-2x=10-8[/tex]

[tex]2x=2[/tex]

Divide both sides of the equation by 2.

[tex]\frac{2x}{2} =\frac{2}{2}[/tex]

[tex]x=1[/tex]

Answer:

x = 1

Step-by-step explanation:

4(x + 2) = 2x + 10

You start by expanding 4(x +2)

i.e. 4x + 8 = 2x + 10

Then, subtract 2x from both sides of the equation

4x + 8 - 2x = 2x + 10 - 2x

4x - 2x + 8 = 2x - 2x + 10

2x + 8 = 10

Subtract 8 from both sides of the equation

i.e. 2x +8 - 8 = 10 - 8

2x = 2

Divide both sides of the equation by the coefficient of x above(which is 2)

[tex]\frac{2x}{2} = \frac{2}{2}[/tex]

x = 1

Hope this helps :))

Answer:

12.94 gallons/week

Step-by-step explanation:

44x5=220

220/17=12.94

Answer:

13 gallons

Step-by-step explanation:

44 miles x 5 days = 220 miles

220 miles / 17mpg = 12.9

12.9 rounded up is 13

Final Answer is 13 gallons

Answer:  (2, 9), (4, 3)

Step-by-step explanation:

[tex]\text{The slope formula is: }m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\(x_2, y_2)=(9, 2)\quad and \quad (x_1, y_1)=(4, 3): m=\dfrac{2-3}{9-4}\quad =-\dfrac{1}{5}\\\\\\(x_2, y_2)=(2, 9)\quad and \quad (x_1, y_1)=(4, 3): m=\dfrac{9-3}{2-4}\quad =\dfrac{6}{-2}\quad =\large\boxed{-3}\\\\\\(x_2, y_2)=(9, 2)\quad and \quad (x_1, y_1)=(3, 4): m=\dfrac{2-4}{9-3}\quad =\dfrac{-2}{6}\quad =-\dfrac{1}{3}\\\\\\(x_2, y_2)=(2, 9)\quad and \quad (x_1, y_1)=(3, 4): m=\dfrac{9-4}{2-3}\quad =\dfrac{-5}{1}\quad =-5[/tex]

Answer:

x = -63

Step-by-step explanation:

If the points A(x,2), B(-3, -4), and C(7, -5) are collinear, the line that passes B and C, also passes A.

The line passes B and C has the form of y = ax + b

=> -4  = a(-3) + b

    -5  = a(7) + b

=> Subtraction 1st equation from 2nd equation, we have:

    -1 = 10a

=> a = -1/10

=> b = -4 + 3(-1/0) = -43/10

=> This line has form of y = (-1/10)x -43/10

This line passes A(x, 2)

=> 2 = (-1/10)x - 43/10

=> 2 + 43/10 = (-1/10)x

=> 63/10 = (-1/10)x

=> x = -63

Hope this helps!

Answer:

x = -7

Step-by-step explanation:

Make an equation:

3x + 33 = 12

3x = -21

x = -7

Answer:

x = -7

Step-by-step explanation:

form an equation.

14 + x + 2x + 19 = 12

like terms together;

x + 2x = 12 - 14 - 19

simplify;

3x = -21

divide both sides by 3;

x = -7

The number less than a cube is 26.

The cube of a number is obtained by multiplying the number three times.

Determine the cube of 3.

3·3·3=27

So, the cube of 3 is 27.

From the given options it can be observed that the number 26 is 1 less than 27.

Thus, the number one less than cube is 26.

To learn more about cube click:

https://brainly.com/question/28134860

#SPJ3

Answer:

Neither

Step-by-step explanation:

When I input segment CD onto a graph, I get -0.4 as the slope or 15/-6. If the lines were parallel, they would need to have the same slope which they do not have. If they were perpendicular, they would need to have different slopes so, -2/5 and 5/2 which they do not. That leaves us with the only option of neither.

Plz sub to Rebel_IOSツ on yt!

Answer:

AB and CD are parallel

Step-by-step explanation:

let's see what slope the line CD has:

as we see AB and CD have same slope, therefore they are parallel

Aswer:

[tex]\frac{(x-1)(x-3)}{x-1}[/tex]

Step-by-step explanation:

Answer:

x-3:m=1

Step-by-step explanation:

Answer: B = (1,-9)

Step-by-step explanation:

[tex]x_M=\frac{x_A+x_B}{2} \\\\y_M=\frac{y_A+y_B}{2} \\\\\\x_B = 2x_M-x_A=2(-1)-(-3)=1\\\\y_B = 2y_M-y_A=2(-7)-(-5)=-9\\[/tex]

Answer:

the answer is b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A line that shows all solutions

Answer: D. All interior angles and all sides are congruent.

Step-by-step explanation:

If it is a regular polygon, then all angles and sides have to be congruent.

The interior angles aren’t congruent to the exterior angles.

Not all angles have to be congruent, in regular or irregular.

Since this polygon has 25 sides, opposite pairs aren’t parallel because there are an odd number of sides. That means there are no opposite pairs.

Answer:

D

Step-by-step explanation:

Answer:

The answer is

The first one, the second one and the last one.

Hope this helps.

Answer:

x=45/6

Step-by-step explanation:

2+7y=8. 7y=8-2. 7y=6

7=7. y=6\7

insert the value of y in the second equation. 5x-7y=16

5x-7(6/7)=16

5x-49\6=16

collect the liketerms together

5x=16+49/6

5x=145/6(divide both sides by 5)

x=29/6

x=45/6

further.

confirm if the 2 in the second equation has an X coz the questions are normally set with both equations having both values x and y

Answer:

£1.31

Step-by-step explanation:

5:7:12

small : medim : large = 45 : 63 : 108

Answer:

£1.31

Step-by-step explanation:

The cakes are sold in the ratio 5 : 7 : 12 = 5x : 7x : 12x ( x is a multiplier )

sum the parts of the ratio, 5x + 7x + 12x = 24x

Equate 24x to the number of cakes sold, that is

24x = 216 ( divide both sides by 24 )

x = 9

Thus cakes sold are

5x = 5 × 9 = 45 small cakes

7x = 7 × 9 = 63 medium cakes

12x = 12 × 9 = 108 large cakes

let p represent the profit on a small cake, then

45p + 63(2p) + 108(3p) = 648.45 , that is

45p + 126p + 324p = 648.45

495p = 648.45 ( divide both sides by 495 )

p = 1.31

That is the profit on one small cake is £1.31

Answer:

Original figure: (-6,-5)

final figure: (-6, 5)

Step-by-step explanation:

the point would fall at (-6, 5) because it is reflecting across the x-axis (the horizontal one) and since it is the original point is 5 away from the x-axis, the final point would be at 5 as well. the y-coordinate doesn't change because it is only reflecting over the x-axis. the shape would essentially be flipped if you reflected it over the x-axis, so the point would be on the bottom of the figure instead of the top. Hope this helps I tried my best to explain!

Answer:

B. x + 0.2x

Step-by-step explanation:

0.2 is equal to 20%

x represents the amount of dollars, and 20% of x would be written as 0.2x.

The 20% of x would be added to the money before the 20%, so, the answer is b, x + 0.2x.