(System word problems, 13 points)
Basketball tickets were $5 for floor seats
$2 for the grandstand seats
I’d 210 people attended and paid $660, how many people bought floor seats?

Answers

Answer 1
Answer:

130 people's bought floor seats ...

Explanation:

→ First , we need to identify and define the unknown terms.

F: # of floor seats sold

G: # of grandstand seats sold

• F + G = 210 {210 is the total number of seats sold}

• 5F + 2G = 660 {the 5 , 2 and 660 refer to amounts of dollars} .

→ We now have two equations in two unknowns , which we should be able to solve.

→ Let's solve the first equation for G, and then substitute the value of G into the second equation , so that we have will have a single equation with only F as the unknown ...;

→ F represents the number for which we are looking: The number of floor seats sold.

Let's find numbers of people's bought floor seat:

F + G = 210

F - F + G = 210 - F

G = 210 - P

→ 2F+ 5G = 660

→ 2F + 5(210 - F) = 660

→ 2F + 1050 - 5F = 660

→ - 3F + 1050 = 660

→ - 3F + 1050 - 1050 = 660 - 1050

→ - 3F = - 390

→ F = - 390 / - 3 = 130

→ F = 130

• Hence , 130 people's bought floor seats ...

Hope this helps you :) ...

#Carry on learning# :) ...


Related Questions

2) All students at Leara's school take a physical education (P.E.) class. A random
sample of 200 students is asked what activity they would like to do every Friday
in P.E.: 60 students want to play dodgeball, 30 want to play basketball, 70 want
to play kickball, and 40 want to play softball. Can the teacher conclude that
basketball is probably the least popular activity across the whole schoo'?
Explain your answer.

Answers

Answer:

Yes, because there are only 30 students out of 200 students wanted to play basketball

Step-by-step explanation:

60 stds - dodgeball

30 stds - basketball

70 stds - kickball

40 stds - softball

Answer:

Yes

Step-by-step explanation:

The teacher can conclude that basketball is probably the least popular activity across the whole school becasue the sample of students was random. It represents the most and least popular activities to play every Friday.

Can anyone solve this?

Answers

Diameter = 2 * radius

1 nickel diameter = 2* 0.4 = 0.8

3 nickel diameter = 3* 0.8 = 2.4

B 2.4

In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving DC || AB, given AB = CD and AD = CB. Upload the entire proof below.

Given:
AB = CD
AD = CB

Prove:
DC || AB

Answers

Answer:

Step-by-step explanation:

1. most of the time the first 1 is the given but you have two given so im not sure which one would go here.

2. line AC is = to line AC becuase of: reflective property

3. Triangle ADC = Triangle ABC because of SSS

4.  Angle 1 = Angle 4 because of alternat interor angles

5. DC is  parralell to Ab becuase of CPCTC

Factor out the coefficient of the variable term.

Answers

Answer:

4(x-5)

Step-by-step explanation:

you find the greatest common factor and in this case it is 4 so you divide everything by 4 and that's how i got the answer

Answer:

4

Step-by-step explanation:

in 4x-20, you take 4x and remove the variable or letter and then you get your answer which is 4

A convenience store supplies two types of protein bars. One protein bar has 320 calories in the 2-ounce size. How many calories are in the 3-ounce size of the bar?

Answers

Since one protein bar has 320 calories in a 2-ounce size, we can divide 320 by 2. When solving, we get 160. This means there are 160 calories in one protein bar.

We are trying to find how much calories are in the 3-ounce size, so we must multiply 160 by 3.

The final answer to your question is 480. There are 480 calories in the 3-ounce protein bar.

There are 480 calories in a 3 ounce bar

25.5 is what percent of 85?

Answers

Answer:

30%

Step-by-step explanation:

Solution for 25.5 is what percent of 85:

25.5:85*100 =

( 25.5*100):85 =

2550:85 = 30.

like & vote. tysm!

when he sorts the class's scores on the last test, the teacher notices that exactly 12 students scored better than Clare and exactly 12 students scored worse than Clare. Does this mean that Clare's score on the test is the median? Explain your reasoning.

Answers

Answer:

Yes, Clare's score on the test is the median.

Step-by-step explanation: Yes, because if we line up the scores from least to greatest and continue to cross off a score on each side, Clare's score will be exactly in the middle.

Yes clare’s test score is the median. This is true because the median is the middle of the data so if there are equal numbers of 12 below and above her score that would mean her score is in the middle and would be considered the median

A street sign is 111 inches tall. How tall is it in feet and inches?

Answers

Answer:

9ft 3in

Step-by-step explanation:

a foot is 12in so just divide the 111 into 12ths

Answer:

9ft 3in

Step-by-step explanation:

HELPP IM SOO LOSTT FIRST GET BRAIEST

Answers

Answer: 50

Step-by-step explanation: I think it's 50 because the angle is 180 so 180 minus 130 because 65+65 = 130. So maybe it's 50!

Answer: 50
Explain: the the 65 degrees angles are part of an 180 angle, so u put 180-(65+65)=___

how do you get from 8.05 to 8.50 to 9.00?

Answers

Answer:

you need to add 9.00+8.05+8.50 =2555

PLEASE HELP! I NEED HELP

Answers

Answer:

c

Step-by-step explanation:

solve for the area of the scale drawing of the 8 by 7 rectangle

8+8+7+7 = 30

solve for original rectangle 16 by 14

16+16+14+14 =60

solve for the area of the drawing divided by the area of the original

30/60=

1/2=

50%

your answer would be c

pls help me answer this

Answers

Answer:

Step-by-step explanation:

1) an axial symetrical inversion

2) I don't know sorry

Answer:
Your friend is correct.
When a figure is reflected, it is flipped. Since it is reflected on the x-axis, that is the direction it is flipped in. When flipped, the coordinate of the bottom left corner is (1, 1). When you move the figure over 5 units (which is what translating is), the coordinates are (-4, 1) which matches with the corner of the second given figure.
I hope I explained it well, and I hope I’m not too late to help.

I need help :,)

Mark is traveling by bus and needs to go from

Denver to San Diego and then on to San Francisco


The charge from Denver to San Diego is $17.50


and the charge from San Diego to San Francisco


is $8.75. How much will the ride cost?

Answers

Answer:

add 17.50 to 8.75 you get 26.25

Answer:

$26.25

Explanation:
add both numbers given

The kindergarten class at Stokes Elementary drinks about 210 pints of milk per week. How many gallons of milk does the class drink in 10 weeks? Round your answer to the nearest tenth of a gallon if needed.

Answers

Answer:

About 262.5 gallons of milk

Step-by-step explanation:

262.5 gallons of milk is the answer.

PLS I NEED HELP THIS IS MY LAST QUESTION PLS
i will put a brain list just pls help me!!
Theresa uses a unique box in the shape of a trapezoidal prism for her specialty candles. The area of the base of the box for the smaller candle is 125 cm2 and the box is 12 cm tall. The box used for the larger candle has a base whose area is 160% that of the smaller box, and it is 6 centimeters taller.
What percent of the volume of the smaller box is the volume of the larger box?
Answer:

Answers

Answer:

41.7%

Step-by-step explanation:

100%----125

10%------125/100 x 10                                                                                                        

            =12.5

160%-----12.5 x 16

            =200

volume of small box = 200 x (12+6)

                                  = 3600

volume of large box = 125 x 16

                              = 1500

percentage of volume of small box is the volume of large box

= 1500/3600 x 100%

=41.667% (5 s.f)

=41.7% (3s.f)

Please help me with this Question. Please and thank you.
The scale drawing shown represents an existing barn. The shortest side of the barn measures 150 meters. If a new barn that is

Answers

Here you go hope this helps
Answer: 1:1.5

Step by step explanation: We have that 150 meters in the reality and the new size is 2/3, therefore 150 meters*2/3= 100mtrs, also 100 mtrs in the reality or 1 is to 1.5

Brainliest! PlEASE be right! Thank you Sugarr! lol kiddin, pls help tho

Answers

Answer:

111

Step-by-step explanation:

Answer:

N is 111

Step-by-step explanation:

To find the answer you need to find what 96 + 12 + 3 is. 96 + 12 + 3 = 111. 111 - (12 + 3) is 96 so 111 should be the right answer.

easy points easy points

Answers

4 outta 16 or 4/16 I think
It’s 1:3 1 triangle 3 squares

Bradley has a coupon for 15% off the price of a computer. The sales tax is 8%.
How much money did Bradley save, including sales tax, by using his coupon?
(Total cost of the computer with sales tax and coupon is $454.41)

Answers

Answer: $31.81

Step-by-step explanation:

First figure out how much the sales tax was

454.41x0.8=36.35

Then figure out how much the coupon subtracted off the total price

454.41x0.15=68.16

Subtract 68.16 by 36.35

68.16-36.35=31.81

Find the area of the figure. Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

127.23

Step-by-step explanation:

Equation

pi/8×18^2=127.2345025 rounded 127.23

Answer: 113

Step-by-step explanation:  The number 18 is the diameter, multipy it by pi (3.14) then divide it by half because it is a half circle.

look at the picture also brainliest

Answers

Answer:

50.24

Step-by-step explanation:

Area of circle is πr²

r=d/2

r=8/2

r=4

A=4²π

A=16π

A=16*3.14

A=50.24 m²

Answer ASAP and whoever get it right can have brainliest!

Answers

Answer: 2/49

I needed to have 20 characters to post this.

Step-by-step explanation:

[tex] = \frac{2}{7} \div 7 \\ [/tex]

[tex] = \frac{2}{7} \times \frac{7}{1} \\ = \frac{2}{7} \times \frac{1}{7} [/tex]

[tex] = \frac{2}{49} \\ [/tex]

CAn someone help math 34 -9999

Answers

Answer:

-9965

Step-by-step explanation:

you can subtract 9999 by 34 and get 9965

then you need to add the - negative sign.

9965 if a positive and
if negative 10,033
sorry i diddnt know if the 9999 is a negative or a positive

help please!
write percents 1. 6 31/33 2. 1/8


write as decimal 1. 5 4/25 2. 3/8

Answers

Percentage : 1. 563% 2. 12.5%
Decimal : 1. 0.8 2. 0.375

Answer ASAP and whoever get it right can have brainliest!

Answers

Answer:

2/7 divided 7= 2/14=1/7

Step-by-step explanation:

In these kind of problems you keep,change,flip

2/7 stays the same the division symbol change to a multiplaction sign and since the 7 is a whole we have to change it to 7/1 and flip it so the answer is   2/14 and since 2 goes into 14 we can simply when change to 1/7

HHope this helps :)

2/49
That’s the answer

What is the value of the flowing expression?

Answers

your answer is d. 351
The answer is D 351.

please help me on this question.

Answers

Answer:

I am pretty sure it is 40%

Step-by-step explanation:

Please help needed its due soon

Answers

25yd=75 . sorry mane had to get these points up you know

In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving SMRN, given RMSN and ∠MRS ∠NSR. Upload the entire proof below.

Given:
RM=SN
∠MRS =∠NSR

Prove:
SM=RN

Answers

Answer:

The complete two-column proof that proves that SM = RN, based on SAS and CPCTC, is given in the table shown in the attachment.

The SAS Congruence Theorem

If two sides of one triangle are congruent to the two corresponding sides of another triangle, and their included angles are also congruent, then both triangles can be proven to be congruent by the side-angle-side congruence theorem (SAS).

If two triangles are congruent, it means all their corresponding parts are congruent by the CPCTC Theorem.

Thus, the complete two-column proof that proves that SM = RN, based on SAS and CPCTC, is given in the table shown in the attachment.

Step-by-step explanation:

1. RM = SN

                                          1. Given

1. ∠MRS = ∠NSR

───────────────────────────────

2. RS = RS                          2. Reflexive Property

───────────────────────────────

3. △MRS ≈  ∠NSR            3. SAS

───────────────────────────────

4. SM = RN                        4. CPCTC

                            EXPLANATION

───────────────────────────────

I just did what the other person did

Solve the equation.
c-12=-4

Answers

C-12=-4
C-12+12=-4+12
C=8

Answer:

[tex]\Longrightarrow: \boxed{\sf{c=8}}[/tex]

Step-by-step explanation:

To solve this problem, all you have to do is isolate the term of c from one side of the equation.

c-12=-4

First, add by 12 from both sides.

[tex]\Longrightarrow: \sf{c-12+12=-4+12}[/tex]

Solve.

Add or subtract the numbers from left to right.

⇒ -4+12=8

[tex]\Longrightarrow: \boxed{\sf{c=8}}[/tex]

Therefore, the correct answer is c=8.

I hope this helps! Let me know if you have any questions.

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