Use the information below to respond to numbers 5,6,7 and 8.
Celeste was selling meal tickets for the holiday program at her school. The cost of a dinner ticket is
$10. She is also selling dessert tickets for $6. She lost track of how many of each ticket she sold;
however, she remembered that she was given 100 tickets and she collected $900.
The system of equations shown can be used to represent this situation:
S x + y = 100
(10x + 6y=900
5. What does the variable x represent in the system of equations? *
1 point
O A. The number of dinner tickets sold.
O B. The number of dessert tickets sold.
O C. The number of dollars collected for dinner tickets.
D. The number of dollars collected for dessert tickets.
O Other:

Answers

Answer 1

X is next to the number 10, so x would be the number of dinner tickets sold.

Rewrite x + y = 100 to x = 100-y

Now replace that in the 2nd equation:

10(100-y) + 6y = 900

Simplify:

1000 -10y + 6y = 900

Combine like terms:

1000 -4y = 900

Subtract 1000 from both sides

-4y = -100

Divide both sides by-4

Y = 25

Replace y in the first equation and solve for x

X + 25 = 100

X = 75

A) 75 dinner tickets were sold

B) 25 dessert tickets were sold

C) 75 x 10 = $750

D) 25 x 6 = $150


Related Questions

Evaluate the expression below when P=7 (P+3)

Answers

Answer:

Answer:

10

Step-by-step explanation:

(7+3) = 10

Store A sells a watch for $50 and offers a 5% discount. Store B sells the same watch for $60 and offers a 20% discount. The sales tax is 6% for both . After discounts and taxes are applied, from which store should you buy the watch and why?

Answers

Store A
50*5%=2.5
50-2.5=47.5
47.5+(6%*47.5)=$50.35
Store B
20%*60=12
60-12=48
48+(6%*48)=$50.88
I would but the watch from store A because it would be 53 cents cheaper.

x + 8 > 10 plss help

Answers

Answer:x=2

Step-by-step explanation:8x2=16 and 16 is greater than 10.. hope this helps and gets brainliest

Answer:

x > 2

Step-by-step explanation:

Given

x + 8 > 10 ( subtract 8 from both sides )

x > 2

PLEASE HELP!!!!! WORTH 50 POINTS! PLEASE ANSWER ALL QUESTIONS (6,7,8,9)

Answers

Answer:

6. Additional information is required on the two triangles

7. The pair of triangles are similar by SAS similarity postulate

8. Yes, by triangle proportionality theorem

9. DE = 9

Step-by-step explanation:

When two or more triangles are similar, the ratio of the corresponding sides of both triangles is constant

6. From the given figure, more information is required on the two triangles

However, whereby the side with length 10 is parallel to the corresponding side on the other triangle, then the alternate angles formed by the transversal to the two parallel lines are equal and the two triangles are similar by Angle Angle, AA, similarity postulate

7. From the given triangles, the ratio of the corresponding sides relative to the given included angles are;

18/45 and 10/25

18/45 = 2/5

10/25 = 2/5

Therefore, given that two pair of corresponding sides have the same included angle and that the two included corresponding sides of the of the two triangles are proportional, then the two triangles are similar by the Side Angle Side SAS similarity postulate

8. By triangle proportionality theorem, we have;

If [tex]\overline{MN}[/tex] ║ [tex]\overline{KL}[/tex], then we have;

3/6 = 4/8 = 2

∴  [tex]\overline{MN}[/tex] ║ [tex]\overline{KL}[/tex]

9. By triangle proportionality theorem, where [tex]\overline{BE}[/tex] ║ [tex]\overline{CD}[/tex], we have;

12/20 = DE/15

∴ DE = 15 × 12/20 = 9

DE = 9


−17 = x − 15 answer this .

Answers

Answer:

x=-2

Step-by-step explanation:

x-15=-17

x=-2

50+50times 2 divided by zero add10 plus ur age then add 50

Answers

Answer: 420

Step-by-step explanation:

Hillary, Ashley, Will, and Carlton were planning a surprise anniversary party for Viv and Phillip. The trip was going to cost the kids a total of $8000. Hillary was willing to pay for 30% of the trip. Carlton was willing to pay for ¼ of what Will paid. Will was going to pay for 2/5 of the trip, and Ashley was going to pay for the rest of the trip. a) Create an equation that could be used to determine how much each person paid for the trip. b) Determine how much each person paid for the trip.​

Answers

Answer:

Hillary 2400

carlton 800

will 3200

ashley 1600

Step-by-step explanation:

hillary 30% of 8000 ---- 8000:100×30=2400

will 2/5 of 8000 8000:5×2=3200

carlton 1/4 of will's---- 3200:4=800

ashley: rest, which is 8000-(2400+3200+800)=8000-6400=1600

wut is the answer iam dieeeeeeeeeeeeddddddd

Answers

Answer:

28.26 m²

Step-by-step explanation:

use formula please

100 POINTS PLEASE HELP QUICKLY
A savings account starts with $312.50. After 9 years of continuous compounding at an interest rate, r, the account has $1250.
What is the interest rate percentage?

Round the answer to the nearest hundredth.

Answers

P = 312.50

t = 9

r = ?

P(t) = P(9) = 1250

P(t) = Pe^(rt)

P(t) = Pe^(rt)

1250 = (312.50)e^(9r)

1250/312.5 = e^(9r)

4 = e^(9r)

ln(4) = ln(e^(9r))

ln(4) = (9r)ln(e)

[cancel out the e with ln on right side]

ln(4) = (9r)

ln(4) /9 = r

0.15 = r

ANSWER: 0.15 is the interest rate

The compound interest is computed both on the principal and the interest year on year. The rate of the interest is 0.16 or 16%.

What is savings account?

A savings account is a type of account where an individual can save money for future purposes.

Here we havethe following information;

Principal = $312.50

Time = 9 years

Amount =  $1250.

rate = ?

Using the formula;

A = P(1 + r/n)^nt

Where n =1

1250 = 312.50( 1 + r)^9

1250/312.50 = ( 1 + r)^9

4 = ( 1 + r)^9

1.16 = 1 + r

r = 1.16 -1

r = 0.16 or 16%

Learn more about compound interest: https://brainly.com/question/9904853?

(3, 8) translation 2 units right and 3 units left

Answers

Answer:

4,8

Step-by-step explanation:

PLZ HELP ASAP!! Given g(x)=f(x)+k, enter the value for k that transforms the function f into g?
What does k=

Answers

Answer:

k = -2

Step-by-step explanation:

firstly, let us examine the kind of transformation that we have

We have a transformation from (3,2) to (3,0) and (-3,0) to (-3,-2)

So, we are actually subtracting 2 from the values of f(x) to get the values of g(x)

This shows a vertical translation to the tune of 2 units in the downward direction

So, the correct answer here is that -2 is being subtracted from f(x) to give g(x)

Accordingly, the value of k in the question is -2

Solve the system by substitution.

-5x+2y=-42

6x=y

Answers

Step-by-step explanation:

since y=6x

by substitution

-5x+ 2 (6x)= -42

-5x+ 12x=-42

7x= - 42

divide both sides by 7

x= 6

y=6x

y =6*6

y=36

A loan of $4,000 was repaid at the end of 10 months with a check for $4,270. What annual rate
of interest was charged?
A.0.1067%
B.10.675%
C.1067.5%
D.128.6%
NO LINKS !! ILL BRAINLIEST !!!

Answers

The rate of interest charged seems to be 8.10%

Given the equation below, find y when x = ½ .

Y = -6x -8 3

Answers

Answer:

When x=1/2

Y=-6x-83

Y=-6(1/2)-83

Y=-3-83

Y=-86

Plzzzzzz heeelllpp. 20 pointsss

Answers

Answer:

Hello.

The answer to this question is  

− √ 2 − √ 3 /2

And in Decimal Form: − 0.25881904

Step-by-step explanation:

Give brainliest :)

HELPPPP MEEEE PLEASE (DONT USE THIS FOR POINTS PLS)

Answers

Answer:

3x-8

Step-by-step explanation:

15x^2 - 22x - 48 / 5x + 6

15x^2 / 5x = 3x

-48 / 6 = -8

3x-8

Hope this helps :)

Given that (3, 2, -6) and (-2,5, 1) are solutions of two equations in a system of three linear equations, which of the following is true about the system?

Answers

Answer :

The system can be inconsistent or consistent and  independent or consistent and  dependent.

Step-by-step explanation :

Consistent system: When the system of equation have atleast one solution then the system is consistent.

Inconsistent system: When the system of equation have no solution then the system is called inconsistent.

Dependent system: When the consistent system have infinite number of solutions then the system is called dependent.

Independent system: When the consistent system has exact one solution then the system is called independent system.

We are given two solutions of two equations are (3,2,-6) and (-2,5,1).

But the system of equations have three equations.

Then, the system of equations may have no solution or may have altleast one solution.

If given system of equations have no solutions then the system is inconsistent.

If the given system of equations have two or more than two solutions then the system is consistent and dependent.

If the given system of equations has exactly one solution then the system is consistent and independent.

The system can be inconsistent or consistent independent or consistent independent.

Please help me i only know that it is irrational

Answers

Answer:

its irrational because it doesn't terminate or repeat

Step-by-step explanation:

the square root of 5 is 2.2360679775

pls help will give a lot of points!!!!​

Answers

Answer:

This one i wrote down too

Step-by-step explanation:

how do i write the product of q and 11 as an algebraic expression

Answers

Answer:

since the product meaning multiplication, it basically means 11 (q) which is 11q.

Solve the quadratic
8x2 -5x-4=0

Answers

8*2=16
16-5x-4=0
-5x+12=0
-5x=12
X-12/-5
Final answer x= 12/5

Pu in order answer show work I’ll give brainliest and 50 pnts

Answers

Answer:

1) no, it is not a right triangle.     3² + 4² ≠ 25²

2) no, it is not a right triangle.    38² + 77² ≠ 86²

3) no, it is not a right triangle.    10² + 36² ≠ 37²

4) yes, it is a right triangle.        30² + 40² = 50²

5) yes, it is a right triangle.         8² + 15² = 17²

6) yes, it is a right triangle.        18² + 24² = 30²

7) no, it is not a right triangle.     5.3² + 7.9² ≠ 8.1²

8)  yes, it is a right triangle.         10² + 24² = 26²

Graph f(x) = 6x^2-11+3 and
find the zeroes

Answers

Answer:

x = ±1.155

Step-by-step explanation:

We need to graph the given function [tex]f(x) = 6x^2-11+3[/tex] and find its zeroes.

The attached figure shows the graph of the given function.

To find zeroes,

Put f(x) = 0

So,

[tex]6x^2-11+3=0\\\\x=\pm 1.155[/tex]

Hence, this is the required solution.

May someone please help me with this :)

Answers

Answer:

a) 80in peri, 320 in²

b) 19.426 peri, 26.139

Alana made a scale drawing of a city park. The scale she used was 1 millimeter : 4 meters. If the actual length of the soccer field is 112 meters, how long is the field in the drawing?

Answers

Answer:

27

Step-by-step explanation:

its that be 45 is there to be

Answer:

1

Step-by-step explanation:

What is the value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500? Round to the nearest integer.

Answers

17.5 bc that’s an integer and 17,500 is not and you don’t need the extra zeros at the end anyways


There u go hehehehewh full question

Answers

don’t click the link 1 and 2 i thinks it’s B i’m not sure tho

Help aspvhbhhhhhhhbjnjjnn

Answers

Answer:

The area of this triangle is 7.5 square feet.

Step-by-step explanation:

Area of a triangle formula: A = 1/2 * base * height;

Apply formula to equation

(5 * 3)/2 = 7.5

Cole bought 10 gallons of gas at the gas station with the lowest price. He paid with two $20 bills. Write and solve an equation to find his change.

Answers

Answer:

$4.3

Step-by-step explanation:

Cole bought 10 gallons of gas at the gas station with the lowest price.(the lowest price is $3.57 each gallon.) He paid with two $20 bills. Write and solve an equation to find his change.

two $20 bills = 2 * $20

= $40

Gallons of gas = 10

Lowest price of each gallon = $3.57

Cost of 10 gallons of gas = 10 * $3.57

= $35.7

Let his change = x

His change = Amount paid with - cost of gas

x = $40 - $35.7

x = $4.3

His change = $4.3

Answer:

Step-by-step explanation:

PLEASE HELP I WILL MARK BRAINLIEST

Answers

the answer is F!!
hope it helps

Answer:

The answer is G. The first part of the segment is 7 (between 6 and 8) and the endpoint is at 20. It has a range of 13.

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