For a United Way fund-raising dinner, a total of 245 tickets were sold. Adult tickets sold for $6.50, and child tickets sold for $3.00. If $1410.50 worth of tickets were sold, how many adult and child tickets were sold?

Answers

Answer 1

Answer:

Adults =193

children=52

Step-by-step explanation:

Step one:

let the number of tickets adults be x

and the number of tickets children be y

x+y=245--------1

6.5x+3y=1410.5---2

Step two:

solve the system of equation using substitution

x+y=245

x=245-y

put x=245-y in equation 2 we have

6.5(245-y)+3y=1410.5

1592.5-6.5y+3y=1410.5

-6y+3y=1410.5-1592.5

-3.5y=-182

y=182/3.5

y=52

put y=52 in x=245-y

x=245-52

x=193


Related Questions

7/2x+1/2x=6+5/2x pls help

Answers

Answer:

4

Step-by-step explanation:

7/2+1/2=8/2

8/2=6=5/2

8/2-5/2=3/2

3/2=6

3/2=1.5

6/1.5=4

1(x-31)= 5(2+5)vvvvvb​

Answers

Answer:

1x-31=35

1x=35+31

1x=66

x=66

X-31=5*7
X-31=35
X=35+31
X=66

Help Please! A runner saved $25 when he purchased a pair of tennis shoes on sale. If the sale price was 35% off the regular price, what was the regular price of the tennis shoes?

F $71.43 G $60.00 H $51.23 J $8.75​

Answers

Answer:

Option F: $71.43 is the correct answer.

Step-by-step explanation:

By the question we can observe that 35% of regular price is $25 so this information will be used to calculate the original price of the shoes.

Let

P be the price of shoes

and d be the discount

So

[tex]d = \$25\\P=?[/tex]

The discount is 35% of P so

[tex]d = 35\%\ of\ P\\25 = 0.35 * P\\P = \frac{25}{0.35}\\P = 71.42857...[/tex]

Rounding off to the nearest hundredth

The regular price is: $17.43

Hence, option F: $71.43 is the correct answer.

PLEASE PLEASE PLEASE HELP I WILL GIVE XTRA POINTS AND BRAINALIST TO FIRST PERSON

Answers

Answer:

the answer is A because it has all numbers less than 15

Step-by-step explanation:

Find the slope of the line.

Answers

Answer:

4

Step-by-step explanation:

solve.
1/x = 1/5x = x-1/5x

Answers

Answer:

5=x=x-1

Step-by-step explanation:

Mutiply each equation by 5x

You will get 5=x=x-1

find the zeros of the polynomial x square-3 and verify the reationship between the zeros and the coefficient.​

Answers

Answer:

√3, and -√3

Step-by-step explanation:

to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x

x²-3=0 add 3 to both sides to isolate x

x² = 3 squareroot both sides

√x²= √3

x= ±√3 are the two zeros

What does the area of any shape tell us??

Answers

The area of a shape tells you the amount of space inside. The perimeter tells you how long the outline is. This is what the area and perimeter tell you.

Hope this helps you!

Help me out please !!!

Answers

Answer:

rate of change = 1.75 over 1 or just 1.75

Step-by-step explanation:

this represents the cost of each cantaloupe. This basically means that each cantaloupe is $1.75.

Evaluate 2x

2 + y if the values of x = 3, and y = 10

Answers

Answer:

6,12

Step-by-step explanation:

i have no idea what to do

do u want me to evaluate 1 problem or 2

6,2
Do you want me to do 1 or 2 Answeres

HELPPPP! ILL GIVE YOU BRAINLIEST!

Answers

Answer:Can you put the question?? Thank You

Step-by-step explanation:

Answer:

what can i help with?

Step-by-step explanation:

i need help ASAP ill mark u a brainiest i need an answer thats it

Answers

Answer:

I think it's 7.5 correct me if i'm wrong

Step-by-step explanation:

7.5 is half of 15

Use the midsegement theorem

6w-19+k when w=8 and k=2

Answers

Substitute

6(8) - 19 + (2)

6(8) = 48

48 - 19

29 + 2 = 31

Answer:

f

Step-by-step explanation:

f

the shopkeeper buys 100 oranges for $ 25, 50 kg of apples for $ 80 and 20 melons for $ 15. he sells all of these oranges, apples and melons at the prices shown in the table. calculate his percentage profit

Answers

Answer:

Table?

Step-by-step explanation:

Find the length of the diagonal of a square with perimeter 56

Answers

Answer:

About 19.8

Step-by-step explanation:

First find the side lengths. In this example, 56/4=14

Next use the Pythagorean theorem, to us it, here's the formula a squared plus b squared equals c squared. For this example use 14 squared plus 14 squared which equals 392.

Finally take the square root of 392 because we still need to take the squared out in c. The square root of 392 rounded to the nearest tenth is 19.8.

Select all equations that can result from adding these two equations or subtracting one from the other.
x+y=12
3x-5y=4 PLZ
HELP QUICK I WILL GIVE BRAINLYIEST

Answers

Answer:

If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.

Step-by-step explanation:

hope this helps, sorry if late

Tickets to a baseball game cost $22 each and parking costs $10. What is the equation of the line that represents the cost of attending the game?
y-22=10x y=22x-10 y=22x+10 22x+y=10

Answers

The equation of the line is Y =22x + 10

Can someone help me please?

Answers

Answer:

about 6000π

Step-by-step explanation:

Hope it helps :)
Here is the working

I need help with this problem a/3 + 5a/12 = 9/4

Answers

Answer:

= 3

/3 + 5a/12 = 9/4

PLEASE HELP ME 16 POINTS PLEASE HELP

Answers

Answer:

Slope: Rise/run

= -2/4

= -1/2

Answer:

-1/2

Step-by-step explanation:

Like I said in your previous question!!

RISE/RUN.

Choose a point, rise how many you need to, then run. Since you run 'backwards' after rising, this slope is negative!

I hope this helps!!

State whether the triangles could be proven congruent, if possible, by SSS or SAS.
Include a congruency statement for all congruent triangles.

Answers

Answer:

1. SSS

2. SAS

3. SAS

4. SSS

5. SAS

6. SAS

Step-by-step explanation:

1) Side FY ≅ Side CW  Given

Side FP ≅ Side CM     Given

Side YP ≅ Side MW    Given

∴ΔMCW ≅ ΔFPY by the Side-Side-Side (SSS) rule of congruency

2) ∠CBD ≅ ∠BCA given that both are alternate interior angles

Side EB ≅ Side EC and Side DB ≅ Side CA Given

ΔBED ≅ ΔAEC by Side-Angle-Side (SAS) rule of congruency

3. ∠SVU ≅ ∠SVT   Given

Side SV ≅ Side SV  by reflexive property

Side VT ≅ Side VU   Given

∴ ΔVSU ≅ ΔVST by Side-Angle-Side (SAS) rule of congruency

4. Side MN ≅ Side QP  Given

Side MQ ≅ Side NP     Given

Side NQ ≅ Side NQ    by reflexive property

∴ΔQNM ≅ ΔQNP by the Side-Side-Side (SSS) rule of congruency

5. Indirect proof

Side GL ≅ Side HL  Given

Side GJ ≅ Side HK     Given

∠JLG ≅ ∠HLK    vertically opposite angles

By sine rule

GJ/sin(∠JLG) = GL/n(∠GJL)

Similarly

HK/sin(∠HLK) = HL/n(∠HKL)

∴ ∠GJL ≅ ∠HKL

∴ ∠LGJ ≅ ∠LHK third angle of two triangles given the other two angles are congruent

∴ΔQNM ≅ ΔQNP by the Side-Angle-Side (SAS) rule of congruency

6. ∠XZY ≅ ∠XZW   Supplementary ∠s with ∠XZY = 90°

Side XZ ≅ Side XZ  by reflexive property

Side ZW ≅ Side ZY   Given

∴ ΔXYZ ≅ ΔXWZ by Side-Angle-Side (SAS) rule of congruency.

The congruence theorems that can be used for each of the given pair of triangles are;

1) SSS

2) SAS

3)SAS

4) SSS

5) SAS

6) SAS

1) From the image we see that;

FY ≅ CW  

FP ≅ CM  

YP ≅ MW

This means that 3 corresponding sides of the 2 triangles are congruent and as such it means  ΔMCW ≅ ΔFPY using the Side-Side-Side (SSS) congruency theorem.

2) From the image we see that;

∠CBD and ∠BCA are both alternate interior angles and are therefore congruent. Thus;

∠CBD ≅ ∠BCA

Also, we see that;

EB ≅ EC

DB ≅ CA

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;

ΔBED ≅ ΔAEC using the Side-Angle-Side (SAS) congruency theorem.

3) From the image, we see that;

∠SVU ≅ ∠SVT

Using reflexive property, the shared sides give;

SV ≅ SV  

VT ≅ VU

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;

ΔVSU ≅ ΔVST using Side-Angle-Side (SAS) congruency theorem.

4) From the image, we see that;

MN ≅ QP

MQ ≅ NP

Using reflexive property, the shared sides give;

NQ ≅ NQ

This means that 3 corresponding sides of the 2 triangles are congruent and as such it means  ΔQNM ≅ ΔQNP using the Side-Side-Side (SSS) congruency theorem.  

5) From the image, we see that;

GL ≅ HL

GJ ≅ HK  

∠JLG and ∠HLK are vertically opposite angles and as such;

∠JLG ≅ ∠HLK

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;  

ΔQNM ≅ ΔQNP using Side-Angle-Side (SAS) congruency theorem.

6) We observe from the given triangles that;

∠XZY ≅ ∠XZW (They are both right angles = 90°)

Using reflexive property, the shared side is congruent to itself and so;

XZ ≅ XZ  

Also;

ZW ≅ ZY

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;  

ΔXYZ ≅ ΔXWZ  using Side-Angle-Side (SAS) congruency theorem.

Read more at; https://brainly.com/question/14399801

I NEED HELL LIKE RIGHT NOW !!!

Which equation represents the graph?

Answers

Answer:

ummm im pretty sure its d

Step-by-step explanation:

Answer:

im pretty sure its last option y=2x

Step-by-step explanation:

on the graph it touches all even numbers

can someone explain how to calculate a unit rate ​

Answers

Answer:

It's like 60 miles per (1) hour or 20 mL per (1) second. Independent value has to equal 1.

Solve this equation: 12−3(3x−5)=12(2x+1)

Answers

Answer:

x = -3/11

Step-by-step explanation:

First, distribute the -3 and 12 within the parenthesis

12 - 9x + 15 = 24x + 12

Now, combine like terms

3 - 9x = 24x + 12

Subtract 24x from both sides of the equation

3 - 33x = 12

Subtract 3 from both sides of the equation

- 33x = 9

Divide both sides by -33

x = -9/33

-9/33 can be simplified to -3/11, so the answer is

x = -3/11

I Hope That This Helps! :)

Martin correctly answered 90% of the questions on a math test that contained exactly 40 questions. How many of the questions did he answer incorrectly? explain

A) 4
B) 10
C) 44
D) 90

Answers

Answer:

A. 4

Step-by-step explanation:

90% of 40 is = 36

40 - 36 = 4

Since he got 36 right out of 40, he got 4 wrong.

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

Answers

Answer:

2

Step-by-step explanation:

Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-4-(-2)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2

The slope of the line will be "[tex]-\frac{2}{3}[/tex]".

The given points are:

[tex](x_1, y_1) = (0, -2)[/tex]

[tex](x_2, y_2) = (3, -4)[/tex]

As we know,

→ The slope of the line:

= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

= [tex]\frac{-4-(-2)}{3-0}[/tex]

= [tex]\frac{-4+2}{3}[/tex]

= [tex]-\frac{2}{3}[/tex]

Learn more about slope of line here:

https://brainly.com/question/18891994

Today only every sweatshirt is $5.75 less than normal price. Right now if you buy 5 sweatshirts. The total cost will be $78.75. What is the normal price of the sweatshirt?

Answers

im pretty sure it’s 15.77 because if you divide $78.75 by 5 you get that.

Answer:

13.695

Step-by-step explanation:

78.75/5=15.75/5.75=2.739*5=13.695

The perimeter of a square with side length s

Answers

Answer:

4s

Step-by-step explanation:

The perimeter of a square is 4 times it's side length.

Formula for a perimeter of a square: [tex]4s[/tex]

s - side length

Hope this helps.

what is the value of x​

Answers

Umm there is no numbers

Kendall bought a vase that was priced at $450. in addition, she had to pay 3% sales tax. How much did she pay for the vase?

Answers

Answer:

$463.50

Step-by-step explanation:

3% of 450 is 13.50

450+13.50=463.50

hope this helps :3

if it did pls mark brainliest

463.5 idrk

but 3& make it into a decimal so .03 then multipy it by 450 then you get 13.5 you add it to 450 and get 463.5

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