The ratio of tea drinkers to soda drinkers at a university is 7:4. There are 38 soda drinkers. How many tea drinkers are there?

Show the correct work. Set- up the proportion. Show the correct answer.

Answer:

453/ 2 = 226.5 rounds to 227

672/ 5 = 134.4 rounds to 134

1,294/ 4 = 323.5 rounds to 326

Step-by-step explanation:

Answer:

don't know

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Answer:

x = 12

Step-by-step explanation:

Consider three orthogonal triangles (see picture)

1. The smallest triangle

2. The medium triangle

3. The big triangle that holds both triangles.

All are orthogonal (or right triangles) so you can use Pythagoras Theorem:

"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"

Use Pythagoras theorem on triangle 1.

[tex]a^{2} = 3^{2} + 6^{2} = 45[/tex]

Now user Pythagoras on triangle 2.

[tex]b^{2} = x^{2} + 6^{2} = x^{2} + 36[/tex]

Now use Pythagoras on triangle 3 (the big triangle).

[tex](3 + x )^{2} = a^{2} + b^{2}\\x^{2} + 6x + 9 = a^{2} + b^{2}[/tex]

Now replace the values for [tex]a^{2}[/tex] and [tex]b^{2}[/tex] from the two equations derived from triangle 1 and 2:

[tex]x^{2} + 6x + 9 = 45 + x^{2} + 36[/tex]

The two [tex]x^{2}[/tex] get cancelled out, so:

[tex]6x + 9 = 45 + 36\\x = 12[/tex]

TA DA!

Answer: -19 i think

Step-by-step explanation:

Answer/Step-by-step explanation:

The question didn't specify which of the numbered angle we're to look for. However, let's find all the numbered angles.

✔️m<2 = 180° - 53° (linear pair angles)

m<2 = 127°

✔️m<7 = 180° - 53° (consecutive exterior angles are supplematry)

m<7 = 127°

✔️m<8 = 53° (alternate exterior angles are congruent)

Answer:

h

Step-by-step explanation:

h

Answer:

Point A is located at the origin because to origin is (0,0)

Step-by-step explanation:

Answer

A because the origin is at 0,0 and point A is at 0,0

Step-by-step explanation:

A is answer is 0,0.On the flat coordinate plane, there are two axes, the vertical y-axis and the horizontal x-axis. The origin is the point where they intersect.

-Hope this helped

Answer:

x=13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

using distributive property:

9x-36-7x=32-2x-16

2x-36=16-2x

4x=52

x= 13

plz brainliesttt

Answer:

i believe the answer is C

Step-by-step explanation:

Answer: 18

Step-by-step explanation: 6 x 3 = 18, 18 x 1 = 18

Step-by-step explanation:

Solving for the surface area of the cube:

2² (5 faces) = 20 ft²

Solvig for the surface area of the pyramid:

0.5 (2ft) (3ft) (4 faces) = 12 ft²

Total surface area = 20 + 12 = 32 ft²

Answer:

B) The probability that the arrow will point to blue is more than 1/4

Step-by-step explanation:

The blue area makes up 1/3 of the pie chart, and 1/3 > 1/4

Answer:

[tex]x = \frac{1}{5}y + 2[/tex]     or       [tex]x = \frac{y+10}{5}[/tex]     (Not sure which one is preferred in your case)

Step-by-step explanation:

Key skills needed: Evaluating expressions

1) We are given: [tex]y = 5x-10[/tex]

2) To solve for the x variable, we want to leave the term with "x" by itself.

This means we add 10 to both sides

--> [tex]y + 10 = 5x[/tex] (Since -10 and +10 cancel out to make 0 or nothing)

3) Then we divide by 5 on both sides to get "x" completely by itself.

-----> [tex]\frac{y+10}{5} = x[/tex]

4) You can keep it as is so --> [tex]x = \frac{y + 10}{5}[/tex]

or you can divide "y" by 5 and "10" by 5 and get --> [tex]x = \frac{1}{5} y + 2[/tex]

(I am not sure which form is preferred one is preferred as the teacher matters)

Hope you understood and have a nice day!!

Answer:

The mid-point between the endpoints (10,5) and (6,9) is:

Step-by-step explanation:

Let (x, y) be the mid-point

Given the points

Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

Here:

[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]

Thus,

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

Therefore, the mid-point between the endpoints (10,5) and (6,9) is:

Answer:

0.55 > 0.525

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.55=0.550

0.550>0.525

so 0.55>0.525

Answer:

The answer to the question provided is 0.444.

Answer:

what specifically are you asking how you would justify? Are you asking how to justify the original equation? If so, how much you spend + your new balance = original balance. Consider if you spent x dollars, your new balance is 10 dollars and your original balance was 15 dollars. Then x + 10 = 15 which means you spent x= 15 - 10 = 5 dollars. With this problem he spent 35 dollars per game so the total he spent is 35x. Since his new balance is 45 and his original balance was 150, then 35x + 45 = 150

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

[tex]-3\sqrt{2}*\sqrt{2} = -3*2 = -6\\[/tex]

Answer:

Step-by-step explanation:

Part A

x^2 + y^2 = 30^2

I don't know if this is right or not. That would mean that the roller coaster has no clearance and at the lowest point, it would scrape the ground (although not enough to dig a hole).

Part B

y^2 = 900 - x^2

y = sqrt(900 - x^2)

Part C

The graph is actually y = - sqrt(900 - x^2)

That's the only model I can come up with

The wording of the question does not allow for the condition that you want. (0,0) is not the center of the graph the way they want it. See the second graph).

Perhaps it means graph15b. I can't really tell.

Answer:

(3,2)

Step-by-step explanation:

Right now point A is at the coordinates (3,2)

When you reflect the shape at line x = 3, point A is at the same x-axis, in which your supposed to reflect it on.

So when you reflect the shape, point A wont move, it will stay in the same colinear and coplanar plane which is (3,2)  

Answer: f=7 x=5

Step-by-step explanation:

I’m not sure because I solved on paper

Answer:

b = 26.62

Step-by-step explanation:

You are given 2 sides and one angle. So the best option is to use cosine law.

[tex]b^{2} = a^2 + c^2 - (2ac)cos[/tex]θ

[tex]b^{2} = 26^2 + 11^2 - (2*26*11)cos30[/tex]

[tex]b^{2} = 708.77[/tex]

[tex]b = 26.62[/tex]

Answer:

$211.20

Step-by-step explanation:

20% of $264 is 52.8

264 - 52.8 = $211.20

Answer:

220

Step-by-step explanation:

Answer:

8/7 left, Hope i helped :)

Step-by-step explanation:

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyuujuuju

Step-by-step explanation:

HI dude was good

Answer:

180-118= 62

Answer is angle E= 62

Step-by-step explanation:

Vertical opposite angle of 118 is 118

So, we found out the interior angle. And sum of interior angles is 180. So you subtract 118 from 180 to get angle E.

Hope this helps!!!

Answer:

E is 62

Step-by-step explanation:

First find any angle relationships with the angle 118.

You can see that 118 can go next to E (corresponding angles).

That is a straight line, so in total it will 180 degrees.

180-118 would be E.

180-118 is 62.

hope this helps! :)

Answer:

70pi cm^2

Step-by-step explanation:

The total surface area of a cone is given by its curved surface area plus its base.

The base area would be

[tex]\pi {r}^{2} [/tex]

so the base area is 25pi cm^2.

The curved surface area is given by

[tex]\pi rl[/tex]

which is pi times 5 times 9 i.e. 45pi cm^2.

The total surface area would therefore be 70pi cm^2, by adding them up together.

Answer:

2 minutes 42 minutes

Step-by-step explanation:

Answer:

2,469,552

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  see below

Step-by-step explanation:

The graph that has no two points one above the other is the graph of a function. That is the first of your attachments.