You are a young entrepreneur who ventures into selling milk tea. On the soft opening day, you sold all 50 glasses of classic and flavored milk tea, and bought in P4700. You need to determine how many glasses of classic milk tea and how many glasses of flavored milk tea were sold on that day if a glass of classic milk tea costs P100 and a glass of flavored milk tea is P80.

Answers

Answer 1

Answer:

35 glasses of classic milk tea

15 glasses of flavored milk tea

Step-by-step explanation:

You sold 50 glasses of classic and flavored milk tea.

c + f = 50

You made 4700 when classic tea costs 100 and flavored tea costs 80.

100c + 80f = 4700

Use this system of equation to solve.  Use substitution.  Rearrange the first equation so that it is equal to c.  Then, plug the c-value into the second equation.

c + f = 50

c = 50 - f

100c + 80f = 4700

100(50 - f) + 80f = 4700

5000 - 100f + 80f = 4700

5000 - 20f = 4700

-20f = -300

f = 15

Plug the f-value into one of the equations and solve for c.

c + f = 50

c + 15 = 50

c = 35

35 glasses of classic milk tea and 15 glasses of flavored milk tea were sold.


Related Questions

if Paul spins this spinner 100 times, approximately how many times will it land on blue? Spinner with three equal sections. One section blue, one section green, and one section red with the arrow pointing at the blue section.
a 25
b 250
c 33
d 333

Answers

Answer:

33

Step-by-step explanation:

100 / 3 is approximately equal to 33

Answer:

i think it is .c because 3 goes into about 33.33 times so hope this helps

Step-by-step explanation:

Find the circumference and the area of a Circle with diameter 8km. Write your answer in terms of pi.

Answers

Answer: circumference = 8pi
Area = 16pi

Explanation:
Circumference = d x pi = 8pi

Area = d^2/4 x pi = 8^2/4 x pi = 16pi

Answer:

8pi km, 16pi  km

Step-by-step explanation:

The formula for circumference is d times pi

That means it's simply 8pi

The area formula is pi r^2

To find the radius, we divide by 2,

4 squared is 16

Area is 16pi

Yash brought apples and bananas to a picnic The number of apples was three more than twice the number of beane Tach brought 11 apples to the pionie. How many bananas dd he bring?

Answers

Answer:

25 bananas

Step-by-step explanation:

11 apples doubled is 22 then plus 3 in 25 this he brought 25 bananas

The number of bananas that Yash brought is 4 bananas.

It is given that Yash brought apples and bananas to a picnic. The number of apples was three more than twice the number of bananas.

We have to find out that how many bananas did he bring , if number of apple were 11.

What do you mean by linear equation in one variable ?

Linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are integers and x is a variable.

As per the question ;

Tach brought 11 apples to picnic.

Let's assume the number of bananas = x

Number of apple = 11 = 2x + 3

11 = 2 x + 3

⇒ 2x = 8

⇒ x = 8 ÷ 2

x = 4

Thus , the number of bananas that Yash brought is 4 bananas.

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Determine the measure of ∠F. answers: 1) 256° 2) 52° 3) 128° 4) 64°

Answers

Answer:

4) 64

Step-by-step explanation:

f = 128/2

f = 64

Answer:

4) 64°

Step-by-step explanation:

An inscribed angle has half the measure of the arc it intercepts.

m<F = (1/2)m(arc)BD

m<F = (1/2) * 128 deg

m<F = 64 deg

Find the area of the square with a side length of 8 ft.

Answers

Answer:

The area of square is 64ft².

Step-by-step explanation:

Given that all sides of a square are equal. So you have to apply the formula for area of square :

[tex]area = length \times width[/tex]

[tex]let \: length = 8 \\ let \: width = 8[/tex]

[tex]area = 8 \times 8[/tex]

[tex]area = 64 \: {ft}^{2} [/tex]

Answer:

here,

side length (l)= 8 ft.

now, area = l^2

a= 8^2

=64ft^2 is the answer..

hope i helped uh..

The two cylinders are similar. Find the surface area of the smaller cylinder. Round your answer to the nearest hundredth.

A. 942.48 cm²
B. 376.99 cm²
C. 565.49 cm²
D. 226.19 cm²

Answers

Answer:

D

Step-by-step explanation:

To first tackle this question, use similarity ratio, where the missing diameter is d. 10/15 = d/9 which can be simplified into d = 6. Then use the surface formula  

2πrh + 2πr². Then, since the radius is 0.5d, the radius or r is 3. Then, plus in values and simplify to get 226.19cm².

help but do inorder of operations form

Answers

Answer:

29/30

Step-by-step explanation:

Make all denominators equal to 30.

4/5 × 6/6  +  1/2 × 15/15  -  1/3 × 10/10

24/30 + 15/30 - 10/30

Combine.

(24 + 15 - 10)/30

(24 + 5)/30

= 29/30

[tex]\frac{4x6}{5x6}[/tex]Answer:

Step-by-step explanation:

4/5+1/2-1/3

TAKE LCM of denominator

Lcm=5x2x3(as all are prime factors)=30

4x6/5x6

similarly, 1x15/2x15

1x10/3x10

you will get,

[tex]\frac{24+15-10}{30}[/tex]

you will get,

29/30

(/=division sign)....hope i cleared your doubts....pls mark brainliest

Please answer asap + brainly

Answers

Answer:

last one is the right answer

Answer:

d.5-eighths of a # plus negative 2 and 5-tenths.

Step-by-step explanation:

Hope i helped you.

BRAINLIEST! Mary went up the Old Tower taking 3 steps per second. Then she carefully came down from the tower taking 2 steps per second. It took Mary 25 seconds longer to come down than to go up. How many steps does the Old Tower have?

Answers

Answer: 25?

Step-by-step explanation:

Which transformations can be used to carry ABCD onto itself? The point of
rotation is (3,2). Check all that apply.

Answers

Answer:

A and B

Step-by-step explanation:

For A, y=2 is the axis of vertical symmetry, meaning a reflection would map the shape onto itself.

For B, x=3 is the axis of horizontal symmetry, meaning a reflection would map the shape onto itself.

For C, a rotation of 90 degrees would make the shape taller vertically and shorter horizontally, therefore it would be wrong.

For D, a translation two units down would move all points down, even though some would need to go up, therefore it would be wrong.

Make a story problem for the expression below. Then solve the problem. (n + 15) ÷ 5

Answers

Answer:

Bob buys n number of cookies. He goes again and buys 15 more. After that he splits them among 5 friends.

Step-by-step explanation:

Answer:

Sandy buys a number of slices of pizzas from Pizza Hut. She then goes to Marco's Pizza and buys 15 more slices. Sandy goes to a party and splits the pizza slices evenly between 5 friends. How many slices of pizza did she buy from Pizza Hut?

-3(2x +5) how to solve this problem

Answers

Answer:

Step-by-step explanation:

-3×2x)+(-3×5)

-6x+-15

Which is the graph of the linear inequality 2x – 3y < 12?
B

Answers

Answer:

C.

Step-by-step explanation:

Given

2x - 3y < 12

Required

Find the graph it represents

we start by solving for the x and y intercepts;

Let x = 0

2x - 3y < 12 becomes

2(0) - 3y < 12

0 - 3y < 12

-3y < 12

Divide both sides by -3

-3y/3 < 12/-3

y > -4

Let y = 0

2x - 3y < 12 becomes

2x - 3(0) < 12

2x - 0 < 12

2x < 12

Divide both sides by 2

2x/2 < 12/2

x < 6

So, we have

x < 6 and y > -4

This implies that the graph is bound by the region where the values of x is less than 6 and the values of y is greater than -4

From the list of given options,only option C answers this question. The dotted lines actually represent inequalities

BC is tangent to circle A. Determine the length of AC . ANSWERS: 1) 3 2) 4 3) 5 4) 6

Answers

Answer:

3) 5

Explanation:

Use Pythagoras Theorem where

a^2 + b^2 = c^2

3^2 + 4^2 = 25

C= root 25 = 5

A circle is a curve sketched out by a point moving in a plane. The length of AC in the given figure is 5 units. The correct option is

3.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

In a circle, the angle between the radius and tangent is always equal to 90°. Therefore, we can write that in the given figure ΔABC, the triangle is a right angle triangle with ∠B as the right angle.

Now, for the triangle using the Pythagoras theorem we can write,

AC² = AB² + BC²

AC² = 3² + 4²

AC² = 9 + 16

AC = √25

AC = 5

Hence, the length of AC in the given figure is 5 units.

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Given that 0≤β<2π, find all the solutions to the equation 2sin^2β=7sinβ+4.

Answers

Answer:

Step-by-step explanation:

2sin²β-7sinβ-4=0

2sin²β-8sin β+1 sin β-4=0

2 sin β(sin β-4)+1(sin β-4)=0

(sin β-4)(2sin β+1)=0

either sin β-4=0

sin β=4 (rejected,as |sin β|≤1)

or

2 sin β+1=0

sin β=-1/2=-sin (π/6)=sin (π+π/6),sin (2π-π/6)

β=7π/6,11π/6

simplify the expression (-h^4)^5

Answers

See image below! If this is right please give me brainlest

when a number is to a power then to another power, the answer is the number to the power TIMES the other power

it should be:

-h^20.

5. Points A, B and C are all
the circle.O represents the centre.
Angle AOB = 2x+28 Angle ADB = 3x-70
Calculate the value for x​

Answers

Answer:

Step-by-step explanation:

angle acb=1/2angle aob=1/2(2x+28)------(anble subtended by an arc at centre is double the angle subtended by it at any other parts of the circle)

angle c+angle d=180....opp angles of a cyclic quad. are supplementry

hence,

x+14+3x-70=180

=>x=64

The value of x from the given figure is 59°.

Given that, points A, B and C are all the circle. O represents the center.

What is circle theorem to relate angle at circumference and central angle?

What is the circle?

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Here, Reflection of ∠AOB= 360-(2x+28)

∠ADB=1/2 (Reflection of ∠AOB)

⇒ 3x-70=1/2 (360-(2x+28))

⇒ 3x-70=1/2 (360-2x-28)

⇒ 3x-70=180-x-14

⇒ 3x-70=166-x

⇒ 3x+x=236

⇒ 4x=236

⇒ x=59

Therefore, the value of x from the given figure is 59°.

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if one inch represents 14 feet how many inches would you use to make a scale drawing of a building that is 199 feet

Answers

Answer:

14.21 inches

Step-by-step explanation:

Given

1 inch = 14 feet

Required

Find the equivalent of 199 feet

Write out the given expression;

1 inch = 14 feet

Let x represent the equivalent of 199 feet in inches; Such that:

x = 199 feet

Write out both expressions

1 inch = 14 feet

x = 199 feet

Using cross multiplication; both expressions become

x * 14 feet = 199 feet * 1 inch

Divide both sides by 14 feet

[tex]\frac{x * 14 feet}{14 feet} = \frac{199 feet * 1 inch}{14 feet}[/tex]

[tex]\frac{x * 14}{14} = \frac{199* 1 inch}{14}[/tex]

[tex]\frac{14x}{14} = \frac{199* 1 inch}{14}[/tex]

[tex]x = \frac{199* 1 inch}{14}[/tex]

[tex]x = \frac{199inch}{14}[/tex]

[tex]x = 14.2142857143inch[/tex]

[tex]x = 14.21 inches[/tex] (Approximated)

Kathryn's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 6 adult tickets and 11 student tickets for a total of $118. The school took in $156 on the second day by selling 12 adult tickets and 12 student tickets. What is the price of each adult ticket? What is the price of each student ticket?

Answers

Answer:

Adult price $5

Student price 8$

Step-by-step explanation:

Hello!

The school sells tickets for the choral performance with different prices depending on the ticket is for an adult or for a student of the school.

If X represents the price of an adult ticket and Y represent the price of a student ticket using the given information you can determine a set of two equations with two unknown values:

Day 1: 6 adult tickets and 11 student tickets for a total of $118

Symbolically: 6X + 11Y= $118

Day 2:  12 adult tickets and 12 student tickets for a total of $156

Symbolically: 12X + 12Y= $156

Step 1

From one of the formulas, clear one of the unknown values:

[tex]12X + 12Y= 156\\12Y= 156- 12X\\Y= \frac{156-12X}{12} \\Y= 13 - X[/tex]

Step 2

Replace the value obtained in step one in the second formula:

[tex]6X + 11Y= 118\\6X + 11(13 - X)= 118\\6X + (11*13) - 11X = 118\\6X -11X + 143= 118\\-5X= 118 - 143\\-5X= -25\\X= 5[/tex]

The ticket price for an adult is $5

Step 3

Using the value of X obtained in step 2, replace in the formula for Y to obtain the ticket price for students:

Y= 13 - X= 13 - 5= $8

I hope this helps!

The following quadrilateral is a parallelogram.
Z
W
100°
?
X
Y
Angle Y measures _ degrees.​

Answers

Answer:

100

Step-by-step explanation:

by definition, opposite angles of parallelograms are equal.

!!!! PLEASE HELP ME !!!!Find each measure. m<1 m<2 m< 3

Answers

Answer:

m angle 1= 45

m angle 2= 76

m angle 3= 80

Step-by-step explanation:

HELP! A circle is inscribed in a square. A point N in the square is chosen at random. What is the probability that N lies in the shaded region? Round your answer to the nearest percent.

Answers

Answer:

30%

Step-by-step explanation:

-4 + 3a2 from 7a - a2

Answers

7a -a2

+3a2 -4

(7a +2a2 -4)

Answer:

-4a^2+7a+4

Step-by-step explanation:

7a-a^2 --4+-3a^2

:-4a^2+7a+4

−7∘C denotes a temperature of 7∘C below 0∘C, what does 5∘C mean?

Answers

It means 5C above 0C

Question 5 (1 point)
(06.02 LC)
Which statement best describes the expression 3y = 8? (1 point)
O 1) 8 divided by 3 times y
O2) 8 times y divided by 3
03) 3 divided by 8 times y
O4) 3 times y divided by 8​

Answers

Answer:

Step-by-step explanation:

None of these choices is correct.  

3y = 8 is an equation, not an expression.  It states that "y is 8 divided by 3," which again is an equation.

Answer:

3 times y divided by 8

Step-by-step explanation:

Select the correct answer.
Which pair of functions is not a pair of inverse functions?

Answers

Answer:

the answer is a

Step-by-step explanation:

what is the surface ara of a sphere with a diameter of 16cm

32pi cm^2
256 pi cm^2
1,024 pi cm^2
126 pi cm^2

Answers

Answer:

1024pi cm²

Step-by-step explanation:

4pi(16)²

4pi256

1024pi

Answer:

[tex]256\pi {cm}^{2} [/tex]

Step-by-step explanation:

surface area of a sphere=4πr^2

diametre=16

[tex]radius = \frac{diametre}{2} [/tex]

radius=8

[tex]surface \: area \: of \: sphere = 4 \times \pi \times {8}^{2} [/tex]

[tex] \: \: \: \: = 4 \times \pi \times 64[/tex]

[tex] \: \: \: \: = 256\pi {cm}^{2} [/tex]

Plz help me 3(x+1)=5+x

Answers

Answer:

x=1

Step-by-step explanation:

3x+3=5+x

3x-x+3=5

2x=2

x=1

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 1

▹ Step-by-Step Explanation

3(x + 1) = 5 + x

Distribute

3x + 3 = 5 + x

Move the variable to the left and change the sign

3x - x + 3 = 5

Collect like terms

2x = 5 - 3

Calculate

2x = 2

Final Answer

x = 1

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

PLLLLLLLLLLZZZZZZZZZ

Answers

Answer:

Hey there!

Donald would have 20x+10 dollars.

20 dollars (number of 20 dollars) + 10 dollars

Answer: 20x + 10

Step-by-step explanation:

20x in this expression means 20 * the number of dollar bills he owns.  Each bill is worth twenty dollars.  + 10 is simply 10 * 1(the number of 10 dollar bills he owns)

Hope it helps <3

Please answer asap! What is the range of the function y = -|x|? y ≤ 0 x ≤ 0 all real numbers

Answers

X=0 I think the answer is , sorry if this isn’t correct

Answer:

[tex]\huge \boxed{y\leq 0}[/tex]

Step-by-step explanation:

The range of a function are all possible values for y.

[tex]y = -|x|[/tex]

The domain is all real numbers. The value of x can be all real numbers.

The absolute value of a number will always be positive.

The negative sign gets distributed to the absolute value, the output or end result will always be a negative number or zero, the range is less than or equal to 0.

The range of the function is [tex]y\leq 0[/tex]

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Ronald ran 6 laps in 12 minutes. Which ratio can be used to find the number of laps that Ronald ran in 1 minute? What are good metaphors and similes for broken shards of glass scattered on the floor? ANSWERFind the scale factor of the dilation shown in the diagram. 1/2 1/3 2 3 Muons are elementary particles that are formed high in the atmosphere by the interactions of cosmic rays with atomic nuclei. Muons are radioactive and have average lifetimes of about two-millionths of a second. Even though they travel at almost the speed of light, they have so far to travel through the atmosphere that very few should be detected at sea level - at least according to classical physics. Laboratory measurements, however, show that muons in great number do reach the earth's surface. What is the explanation? The views expressed in the passage best reflect which of the following trends in European Christendom? A rivalry for supremacy between competing sects An effort to resolve internal disputes over doctrine An indifferent attitude toward a threat to a peripheral region A willingness to unify against an opposing ideology Refer to the passage. "We will build transports to carry four thousand five hundred horses, and nine thousand squires, and ships for four thousand five hundred knights, and twenty thousand sergeants of foot. And we will agree also to purvey food for these horses and people during nine months. This is what we undertake to do at the least, on condition that you pay us for each horse four marks, and for each man two marks. And . . . we undertake to keep, wheresoever we may be, for a year, reckoning from the day on which we sail from the port of Venice in the service of God and of Christendom. Now the sum total of the expenses above named amounts to 85,000 marks. And this will we do moreover. For the love of God, we will add to the fleet fifty armed galleys on condition that, so long as we act in company, of all conquests in land or money, whether at sea or on dry ground, we shall have the half, and you the other half. Now consult together to see if you, on your parts, can accept and fulfil these covenants. Geoffrey de Villehardouin, knight and historian, Chronicle of the Fourth Crusade and the Conquest of Constantinople solve 2x - 1/5 + 2x - 19.6 A professional football prospect runs 40 yards dash in 5 seconds. What is the player's average speed over this distance Find a solution to the linear equation y=12x24 can someone please help me What is the solution of the following system 5x+2y+z=4 x+2z=4 2x+y-z=-1 Please answer this question now in two minutes need help with this question, i dont think its hard for you. An object of height 2.50cm is placed 20.0cm from a converging mirror of focal length 10.0cm. What are the height and the magnification of the image formed? George has opened a new store and he is monitoring its success closely. He has found that this stores revenue each month can be modeled by r(x)=x2+5x+14 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars. He has also found that his expenses each month can be modeled by c(x)=x23x+4 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars. What does (rc)(3) mean about George's new store? Help? I dont understand 25 points If the poverty rate for teen mothers in a population is 48%, and the overall poverty rate for the population is 12%, what can be concluded about the effects of early parenthood on financial status? Teen mothers are only at a financial disadvantage while their children are small. Teen mothers usually make poor financial decisions in all areas of their lives. Teen mothers are at a disadvantage that could affect lifetime earning potential. Teen mothers are not capable of getting and keeping a job or continuing their education. Using Figurative Language to Make Meaning I walked back there that evening and checked on the beans. They'd picked themselves up and were looking fine. Seedfolks Paul Fleischman How does the authors use of personification help you better understand the text? It shows that the plants are healthier. It shows that the plants are dying in the sun. It shows that the plants had too much water. It shows that someone needs to take better care of the plants. What is the symbolic meaning of the relationship between light and dark in the story? Create a plan to maintain good personal hygiene(including oral hygiene), and explain how you wouldexecute it. SEREWhat type of energy is the sum of an object's potential and kinetic energy?mechanical energyelectromagnetic energychemical energythermal enemy