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?

Answer:

4

Step-by-step explanation:

Answer:

5=x=x-1

Step-by-step explanation:

Mutiply each equation by 5x

You will get 5=x=x-1

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

Answer:

Table?

Step-by-step explanation:

Answer:

= 3

/3 + 5a/12 = 9/4

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

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

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.

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.

Answer:

13.695

Step-by-step explanation:

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

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!

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! :)

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

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

Answer:

1x-31=35

1x=35+31

1x=66

x=66

Answer:

about 6000π

Step-by-step explanation:

Umm there is no numbers

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.

Answer:

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

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

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.

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

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.

Answer:

f

Step-by-step explanation:

f

Answer:Can you put the question?? Thank You

Step-by-step explanation:

Answer:

what can i help with?

Step-by-step explanation:

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!!

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

Answer:

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

Step-by-step explanation:

Answer:

6,12

Step-by-step explanation:

i have no idea what to do

do u want me to evaluate 1 problem or 2