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.

Answers

Answer 1
Working: Since the ratio is 7 tea drinkers to 4 tea drinkers. We could just do 38/4 which gives us 9.5. Using that value we just go 9.5 x 7. This would give us 66.5 but there cannot be half a person so we must round down unless the question does not require us to do so.

Answer: 66.5/66

Related Questions

find the total surface area of this cone leaving you answer in terms of pi radius 5 cm

Answers

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.

Can I get some help plz

Answers

Yo Use Browesr My Frieand Thats Alot To Be Honest And

BRAINLIEST
please help and leave a small explanation :)

Answers

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! :)

Please help me need it in 5 mins

Answers

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)

1. Identify the LCM for 6 and 18. O 36 O 6 O 18 O 108​

Answers

Answer: 18

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

y = 5x - 10
Can you solve for x

Answers

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!!

Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
5
5
y-intercept:

10
-
10
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.

Find function f(x) such that f(2x+1)=4x2 + 14x +7.

Answers

Answer: f=7 x=5

Step-by-step explanation:

I’m not sure because I solved on paper

Can someone write it on paper so I can copy

Answers

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:

Which of the following graphs represents a function?

Answers

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.

as you see i kinda need help lol

Answers

Answer:

i believe the answer is C

Step-by-step explanation:

so do I lol I can’t finish my math test due by 12

Which point is located at the origin?
2
B
14
10
1
A
B
C
D

Answers

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

Write this number in standard form.

Two million four hundred sixty-nine thousand five hundred fifty two

Answers

Answer:

2,469,552

Step-by-step explanation:

9(x-4) -7x=32-2(x+8)

Answers

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

Keyshawn has a gift card with a $150 balance. He buys several video games that cost $35 each. After the purchases, his gift card balance is $45. Write an equation to help find out how many video games Keyshawn bought.

Answers

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:

Compare 0.55 ____ 0.525 using , or =

Answers

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

HELP!!! find the value of x

Answers

Answer:

don't know

.....................

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!

The value of a professional basketball player's autographed basketball rose 20% in the last year. It is now worth $264. What was it worth a year ago? and here is 100 points thx

Answers

Answer:

$211.20

Step-by-step explanation:

20% of $264 is 52.8

264 - 52.8 = $211.20

Answer:

220

Step-by-step explanation:

(2,3)
(3,2)
(3,4)
(3,-2)

Answers

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)  

HELP FAST PLEASE
this is math plsss help

Answers

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

Enter a numerical expression for the word expression.
11 decreased by 8

Answers

A numerical expression is a mathematical statement involving only numbers and one or more arithmetic operation symbols+,−,×,÷. A numerical expression always represents a particular number. For example, the numerical expression 5 + 20 − 9 is equal to the number 16 when simplified.

Line A is parallel to line B, if the measure of<2 is 78 degree, what is the measure of < 5 degree?

Answers

Answer:

h

Step-by-step explanation:

h

I bought a pizza Alexis ate 3/4 of the pizza how much pizza do I have left???

Answers

Answer:

8/7 left, Hope i helped :)

Step-by-step explanation:

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyuujuuju

Step-by-step explanation:

HI dude was good

Probability! Always struggled with these Plz Help

Answers

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

Ajar of jelly beans contain 7 green, 6 white, 11 purple, 9 red and 12 yellow beans. What is the probability of selecting a purple or red jelly bean?
Round your answer to the nearest thousandth. For example: 0.500 or 0.999

Answers

Answer:

The answer to the question provided is 0.444.

-3 radical 2 times radical 3

Answers

Answer:

-6

Step-by-step explanation:

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

Find the midpoint of the segment with the following end points (10,5) and (6,9)

Answers

Answer:

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

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

Step-by-step explanation:

Let (x, y) be the mid-point

Given the points

(10,5)(6,9)

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:

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

Please help me with my homework!!!!

Answers

Answer: -19 i think

Step-by-step explanation:

Solve the question below, please

Answers

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]

i need help quick !!
A song lasts 9 minutes. The circle graph below shows the percentage of the time the song plays at different tempos.

Answers

Answer:

2 minutes 42 minutes

Step-by-step explanation:

The shape of this particular section of the rollercoaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of a roller coaster is 30 feet above the ground.

1. Write the equation that models the height of the roller coaster.

a. Start by writing the equation of the circle. (Remember that the general form of a circle with the center at the origin is x^2 + y^2 = r^2

b. Now solve this equation for y. (Remember the roller coaster is above ground, so you are only interested in the positive root.

2. Graph the model of the roller coaster using the graphing calculator. Either sketch by hand or take a picture and paste the image below.

Answers

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.

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Solve the inequality.8 + 12x < -16 HELPPPPPPP PLZZZZZZ I suck at geography Over the years, as samurai divided their lands among their sons, ________.A. the shoguns became more powerfulB. the property held by each samurai grew smallerC. the property held by each samurai grew largerD. the shoguns required a potion of the land too BRAINLIST IF ANSWER!!! PLEASE HELP!!! 15 points!!! Cathy connected a keyboard, mouse, and printer to her Computer through a Bluetooth connection. What type of network has she created? Which factors drove the expansion of the Ottoman Empire in the 15th and 16th centuries? Can someone help pls Movies and TV shows often depict parents attempting to get their sleepy teenagers out of bed and out the door in time for school. (2) Provided that its a scene commonly played for laughs, in reality, sleep deprivation in teenagers is no laughing matter. (3) Adolescents have unique sleep patterns, and with an early school start, many are doggedly tired, leading to serious health and safety risks. (4) Thus, middle and high schools across the United States should heed the advice of doctors and start classes no earlier than 8:30 a.m.(5) Contrary to the notion that teenagers are naturally sluggish, they have a biological excuse for having trouble getting up at 5:00 or 6:00 a.m.: adolescents undergo a shift in their circadian rhythm, making it harder for them to fall asleep as early as adults or younger children. (6) The typical sleep cycle for teenagers begins at 11:00 p.m., when their bodies release melatonin, the sleep-inducing hormone. (7) In order for teenagers to get the full nine hours of sleep they need for optimal performance, they would have to sleep in until 8:00 a.m.(8) Now that experts better understand the sleep needs of adolescents, the average teenager gets fewer than seven hours of sleep a night. 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(14) Its no mystery why; well rested students have better concentration, attention, and behavior.The writer is considering adding the following sentence at the end of the third paragraph (sentences 8 and 9).The term REM sleep was first coined in 1953 by physiology professor and sleep researcher Nathaniel Kleitman and his graduate student Eugene Aserinsky.Should the writer add this sentence after sentence 9 ?A. Yes, because it gives important contextual information about REM sleep that helps the audience understand the writers main argument.B. Yes, because it acknowledges the contributions Kleitman and Aserinsky have made to the field of sleep research by properly attributing their ideas.C. Yes, because it provides an effective transition between the ideas discussed in the third paragraph and those discussed in the fourth paragraph.D. No, because it makes an obvious claim that is a known fact that does not require justification or defense.E. 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The total cost, c, ofall the 2-liter sodas will be proportional to the number of 2-liter sodas, s, that she buys.Which equation represents the relationship between cand s?