The diagram below shows a solid consisting
of a cone and a cylinder with a common
base. Find the
(a) volume of the solid,
(b) total surface area of the solid.
(Leave your answer in terms of TT

Answer:

There are 24 students and teachers that rode in vans, and there are 385 students and teachers that rode in buses.

Step-by-step explanation:

First we are going to set up a system of equations where:

b= number of buses

v= number of vans

We know from the equation that each bus transported 55 people and that each van transported 12 people and that there was a total of 409 people transported. We also know that the number of buses was 5 more than the number of vans.

Knowing that we can set up our system:

[tex]\left \{ {{55b+12v=409} \atop {b=v+5\\}} \right.[/tex]

Since we know what b is equal to, we can now use the substitution method to plug the value of b from the bottom equation into the one on the top and solve for variable v.

55(v +5)+12v =409

From there we can distribute 55 into (v+5)

55v +275+12v =409

We can now combine like terms.

67v +275 = 409

From there we subtract 275 from both sides of the equation to isolate the variable.

67v +275 = 409

      -275    -275

After doing this, we now divide both sides of the equation by 67 to solve for v.

[tex]\frac{67v}{67} =\frac{134}{67}[/tex]

We now know that v, the number of vans is 2 and can plug that into our bottom equation from our system of equations ([tex]b=v+5[/tex]).

[tex]b=2+5\\b=7[/tex]

Knowing that there are 7 buses and 2 vans, we can now plug these numbers into the terms in the top equation of our system. 55b and 12v.

[tex]55(7)=385[/tex]

[tex]12(2)= 24\\[/tex]

385 people rode buses. 24 people rode vans

Check your equation

409 people went in total. 385 + 24 = 409.

person above is correct

Answer:

Isosceles

Step-by-step explanation:

Can't be square or rect.

Common sense, they have 4 points

Is an Isosceles triangle because it has 2 equal sides

Answer: The answer is C) m=3p

Step-by-step explanation:

Answer:

Answer:

-400 meters below sea level

Step-by-step explanation:

740(1.5) +y=710

740 (1.5)+ 710

1010 + y =710

y= 710 -1110

so y is -400

Answer: 30 inches = 2 1/2 feet

Step-by-step explanation:

30 inches is longer than 2 feet

Answer:

The answer would be C.

Step-by-step explanation:

We can tell that it has been translated, meaning that the answer will either be C or D. A reflection across the x axis would already reflect PQR six units left, meaning the answer would be C. Sorry for the bad explanation I'm really tired, I hope this helps! :)

Answer:

2.25 Miles is how many miles Monica can walk in one hour.

Step-by-step explanation:

You take 3/2 which is 1.5 in decimal form then take the 2 out of 2/3 divide 1.5 by 2, you get 0.75 then you add 0.75 to 1.5 and you get 2.25 which is how many miles she walks in one hour.

Answer:

Parallel lines are lines that never meet and are always the same distance apart. Lines X, Y, and Z are all parallel to each other.

Step-by-step explanation:

Answer:

1st question is D, 2nd question is G, 3rd is D

Step-by-step explanation:

1st, It says plus the cost of s, so you can mark out every other one except D because it says plus, you don't multiply it with the cost of the cheeseburgers. 2nd, For the next one all you have to do is subtract each number on the top by 12. Like 2 - 12 = -10, 4 - 12 = 8, and etc. Since the others don't have that like 1 - 12 does not equal -12 like it says in J. Also unlike F none of the answers can be positive, and in H it is basically adding the numbers instead of subtracting and putting a negative sign in front. Therefore G is the answer for 2. 3rd, because for every mile it costs 2.50 so that's the relationship between the table. Basically since every mile costs 2.50, you multiply 2.50 by the distance. Which if you do the inverse is the cost = distance divided by 2.5.

Answer: 108 ft³ 

Step-by-step explanation:

V= 4/3πr³ 

Facts:

Pi= 3

Diameter = 6

Step1; find the radius

Diameter is the length acaross the whole circle, but the radius is just 1/2 the circle. Therefore, if the diameter is 6, then the radius can be found by finding 1/2 of 6.

1/2 of 6= 1/2x6= 3.

R= 3

Step 2:  Plug in the numbers (into the formula)

PEMDAS

(exponents go first)

(then multiply from left to right)

V= 4/3πr³ 

V= 4/3x3x3³ 

V= 4/3x3x (3x3x3)

V= 4/3x3x27

V= (4/3x3)  x 27

V= 12/3x27

V= 4x27

V= 108

Volume= 108 ft³ 

Hope this helps :)) Also brainliest would be appreciated, i worked pretty hard on this thanks! :)

Answer:

BE

Step-by-step explanation:

This is because it is the part of a line that has two endpoints and is finite in length.

Answer:

(6, 10)

Step-by-step explanation:

Step 1: Substitute 2x-2 for ‘y’ in the first equation:

4x - (2x - 2)= 10

Step 2: Combine like terms

2x -2 =10

Step 3: Add 2 to both sides of the equation

2x = 12

Step 4: Divide both sides by 2

x= 6

Now substitute x=6 into any of the equations given, I chose the bottom one.

Step 5: Plug in x=6 and solve

y= 2(6) -2

y= 12-2

y= 10

Step 6: Write your answer as an ordered pair (x, y).

(6, 10)

The x value is the same, the y value is different,

Y is the up and down movement.

Moving from -8 to -5 is an upward move of 3 units.

Answer: 1, 3 units up.

Answer:

321 304

Step-by-step explanation:

is divisible by 4 so is 321 308

Answer:

Step-by-step explanation:

Because the length width and height of the inch cube are all the same, 1/2 plus 1/2 is 1 so 8 cubes 2 for the length, height and width

as for the cubes volume, 1/2* 1/2* 1/2 = 1/8^3

amd the last ones u solve with the answers to the first 2,

8 Cubes * 1/8^3 = 1inch^3

Hope this helped have a good day

The volume of the candle box is 1024 cm².

I don't know how to do the purple cube.

Answer:

C

Step-by-step explanation:

A Pythagorean triple is a 3,4,5 triangle and when you simply multiply by 2 you get 6,8,10 which is also a Pythagorean triple.

Hope this helps!

Answer:

Explanation:

[tex]\rightarrow 3x(2x +4) -5(x^2 - 2x)[/tex]

[tex]\rightarrow 6x^2 +12x -5x^2 + 10x[/tex]

[tex]\rightarrow 6x^2 -5x^2+12x + 10x[/tex]

[tex]\rightarrow x^2 +22x[/tex]

As the above polynomial has two terms and highest power of 2, the polynomial is a Quadratic Binomial

Answer:

-192

Step-by-step explanation:

Answer: P= 2640 dam

or 264 hm

or 26.4 km

Step-by-step explanation:

See picture of all side values in the three measurement forms

Answer: I think this is right but I'm not 100 percent sure

26.4 km, 264 hm, 2640 dam

Step-by-step explanation:

Well, permitter is adding all lengths together.

Which is 5 km + 62 hm + 62 hm + 900 dm

Assuming hm stands for Hectometer, I will divide 62/10 = 6.2

Now we are left with the equation 5 km + 6.2 km + 6.2 km + 900 dam

Since 100 dm = 1 km, we will divide 900 dm by 100 which is 9 km

Lastly, we are left of with:

5 + 6.2 + 6.2 + 9 = 26.4 km

Now I will quickly covert everything into the other 2 measurements

26.4 km = 264 hm (10x)

26.4 km = 2640 dam (100x)

Answer:

23%

Step-by-step explanation:

Answer: 336 square inches

Surface area

6x12 + 8x12 + 10x12 + 8x6

72 + 96 + 120 +48

336

Let me know if this helps

Answer:

336 square inches

Surface area

6x12 + 8x12 + 10x12 + 8x6

72 + 96 + 120 +48

336

Let me know if this helps

Step-by-step explanation:

Answer:

approx. 6 friends brainiest rate 5 stars and thank mee : )

Step-by-step explanation:

Answer: it's wrong

Step-by-step explanation: because there are 6 sides of a die, so there is a 1/6 chance of getting any number between 1 and 6.

reason: this'll help you know how to turn it into a fraction.

Chosen possibility of an action    

over (or fraction bar)

total amount of possibilities

so now that you know why, now we find out the possibilities of  rolling an odd and even numbers between 1 and 6.

1, 3, 5 = 3/6 = 1/2

2, 4, 6 = 3/6 = 1/2

which means there is 1/2 chance of getting either an even or an odd. so they are incorrect because they are as likely as to not likely to be rolled on.

Answer: they are wrong

Step-by-step explanation:  there is 6 sides of a die, so there is a 1/6 percent chance and number between 1 and 6

1, 3, 5 = 3/6 = 1/2 = 50%

2, 4, 6 = 3/6 = 1/2+= 50%

Answer:

∠YDC = 140°

∠FAB = 75°

Step-by-step explanation:

17)
The equation

[tex]13x-3=55+3x+2[/tex]

[tex]13x-3x=55+2+3[/tex]

[tex]10x=60\\x=60/10=6[/tex]

∠FAB = 13(6) - 3 = 78 - 3 = 75°

18)

The equation

[tex]15x+5=80+6x+6[/tex]

[tex]15x-6x=80+6-5[/tex]

[tex]9x=81\\x=81/9=9[/tex]

∠YDC = 15(9)+5 = 135 + 5 = 140°

Hope this helps

Answer:

106

Step-by-step explanation:

I am almost 100% sure that that is the correct answer, it's been a long time since I have worked with exponents lol.

Hope this helps and please feel free to comment, give feedback, ask questions, and correct me if I am wrong!

Have a great day!

:)