Single-tickets sell for $20 each and a couple-tickets for $35 each. A total of 160 tickets are
sold, and the total value of the ticket is $4100. How many of each kind of ticket were sold?

Answers

Answer 1

Answer:

100 of the 20$ tickets, and 60 of the 35$ tickets

Step-by-step explanation:

20*x + 35*y = 4100

x + y = 160

That means x = 160 - y, put this into the first equation

20(160 - y) + 35y = 4100

3200 - 20y + 35y = 4100

15y + 3200 = 4100

15y = 900

y = 60

Put y = 60 into the second equation and

x + 60 = 160

x = 100

y = 60, x = 100

Double check that this works for both equations to make sure its right

20 * 100 + 35 * 60= 4100

2000 + 2100 = 4100 /Correct

100 + 60 = 160 /Correct


Related Questions

Evaluate the expression. -12 divided by 4 - 6

Answers

I got -9 because u divided -12 by 4 which equals -3 and then subtract 6 and get -9

Answer:

-9

Step-by-step explanation:

Hope this helps.

x + 12y = 156
4x + 6y = 62
What is the cost of each jersey?

Answers

(-32/7,281/21) is the answer

Brainliest?

What is the value of x?
4 3
11
36
16
0 17/
7
16

Answers

Answer:..Step-by-step explanation:

What is £36 in the ratio 2:1:1

Answers

Answer:

$18, $9, $9

Step-by-step explanation:

First get the sum of all the ratios 2+1+1 =4

Divide $36 by the sum of the ratios $36/4 =$9

Multiply each ratio by $9 to get each of the amount.

I. 2x$9= $18

ii. 1x$9= $9

Iii. 1x $9 = $9

4^3x4^7=? HURRYYYYYYYYYYY

Answers

Answer:

4¹⁰

Step-by-step explanation:

4³ × 4⁷ = 4³⁺⁷ = 4¹⁰

-5/7 (50/5 - 1/5) explanation too please

Answers

I have this question tooo

PLEASE HELP!!!! Choose the name of the angle notated by the arc.(SHOW WORK) (Will Give Brainiliest) A.TSP B.STP C.TSP

Answers

Are you sure your question is correct? A and C are both the same?

The name of the angle notated by the arc is C. TPS.

Due to the arc, P is the middle letter, so The answer is TPS.

F(x)=-2x^2 -5x+1
H(x)=3(x+3)^2-11

H(f(-1))=?

A.132
B. 136
C.140
D.144

Answers

Answer:

B

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=-2x^2-5x+1\text{ and } h(x)=3(x+3)^2-11[/tex]

And we want to find:

[tex]h(f(-1))[/tex]

So, find f(-1) first. Substitute -1 into f(x):

[tex]f(-1)=-2(-1)^2-5(-1)+1[/tex]

Square:

[tex]f(-1)=-2(1)-5(-1)+1[/tex]

Multiply:

[tex]f(-1)=-2+5+1[/tex]

Add:

[tex]f(-1)=4[/tex]

Now, substitute this into h(f(-1)):

[tex]h(f(-1))=h(4)[/tex]

So, substitute 4 into h(x):

[tex]h(4)=3(4+3)^2-11[/tex]

Add:

[tex]h(4)=3(7)^2-11[/tex]

Square:

[tex]h(4)=3(49)-11[/tex]

Multiply:

[tex]h(4)=147-11[/tex]

Subtract:

[tex]h(4)=136[/tex]

So, our answer is B.

And we're done!

Round the following to the 3 significant digits. 456789

Answers

Answer:

456789 to 3 significant figures = 457000

(−2/3)x(5/4) help plz

Answers

Answer:

[tex]-\frac{5}{6}[/tex]

Step-by-step explanation:

Write it out: [tex]-\frac{2}{3}[/tex] × [tex]\frac{5}{4}[/tex]  3 × 4 = 12-2 × 5 = -10Put them together: [tex]-\frac{10}{12}[/tex]  Simplify: -10/12 = -5/6

I hope this helps!

Answer:

[tex]\frac{-10}{12} ,\frac{-5}{6}[/tex]

Step-by-step explanation:

Start with:

[tex]\frac{-2}{3}[/tex] × [tex]\frac{5}{4}[/tex]

Multiply your numerators.

[tex](-2)(5)=-10[/tex]

Now, multiply your denominators.

[tex](3)(4)=12[/tex]

Let's transfer those numbers into a fraction.

[tex]\frac{-10}{12}[/tex]

You may need to simplify.

Divide by the greatest common factor. In this case, that would be [tex]2[/tex].

[tex]-10[/tex] ÷ [tex]2=-5[/tex]

[tex]12[/tex] ÷ [tex]2=6[/tex]

Put those numbers back into the fraction.

[tex]\frac{-5}{6}[/tex]

Aline passes through (2, -1) with slope 3.
What is the equation of the line in slope-intercept form?

Answers

the equation is y = 3x-7

Please Help!! 10 Points! Brainliest Answer

Answers

The correct answer is D because you already have one side and one angle that are equal so you need one more side

determine which of the following pairs of triangles are similar.

Answers

C is the answer
they have equivalent sides and equivalent measurements

       Triangles given in Options (b) and (c) are similar.

Theorems of similar triangles:  If two angles of a pair of triangles are equal in measure, then the triangles will be similar by A-A property.  If corresponding sides of two triangles are proportional, both the triangles will be similar.

From the picture attached,

a). In triangle ABC,

    ∠A + ∠B + ∠C = 180°    [By triangle sum theorem]

    60° + ∠B + 40° = 180°

    ∠B = 80°

    Similarly, in ΔDEF,

     ∠D + ∠E + ∠F = 180°

     60° + 85° + ∠F = 180°

     ∠F = 35°

       Since, measure of angles of both the triangles are different in measures, triangles will not be similar.

b). In ΔABC,

    ∠A + ∠B + ∠C = 180°

    45° + 50° + ∠B = 180°

     ∠B = 85°

     In ΔDEF,

     ∠D + ∠E + ∠F = 180°

      50° + 85° + ∠F = 180°

      ∠F = 45°

      Hence, ∠C ≅ ∠D, ∠A≅ ∠F and ∠B ≅ ∠E

       Since, measure of corresponding angles are equal, both the

       triangles (ΔABC ~ ΔFED) will be similar.

c).    Here, corresponding sides of both the triangles are proportional,

       [tex]\frac{AB}{DE}= \frac{CA}{FD}= \frac{BC}{EF}[/tex]

       [tex]\frac{14}{7}= \frac{12}{6}= \frac{16}{8}[/tex]

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

       Both the triangles ΔABC and ΔDEF will be similar.

  Therefore, Option B and Option C are the correct options.

Learn more about the similarity of two triangles here,

https://brainly.com/question/2499350?referrer=searchResults

f(x)=4x-5 has been reflected over the x-axis. What is the new function, g(x)?
(1 Point)
g(x)=-4x+5
g(x)=-4x-5
g(x)=4x+5
g(x)=5x-4

Answers

Answer: 4x+5

Step-by-step explanation: it has been reflected over the x- axis

please give step by step instructions
2c+3=2c+3​

Answers

Answer:

All real numbers are solutions.

Step-by-step explanation:

Step 1: Subtract 2c from both sides.

2c + 3 − 2c = 2c + 3 − 2c

3 = 3

Step 2: Subtract 3 from both sides.

3 − 3 = 3 − 3

0 = 0

All real numbers are solutions.

All real numbers are solutions.

Step-by-step explanation:

Step 1: Subtract 2c from both sides.

2c + 3 − 2c = 2c + 3 − 2c

3 = 3

Step 2: Subtract 3 from both sides.

3 − 3 = 3 − 3

0 = 0

All real numbers are solutions.

Please help it in fraction form

Answers

The answer is 105 4/61

If you do the long division correctly, you will get 105 and all you have is 4 left.

Since you are dividing by 61, you do 4/61.

So that is how you get 105 4/61

I hope this helps!

Nicole lives in a home worth $135000. She has a mortgage of $88000. She owes $42000 on her car that is worth $11000. She has a credit card balance of $28000. She also has a checking account with a balance of $900 and $300 in gift cards. What is Nicole's net worth?

Answers

Answer:

305,200

Step-by-step explanation:

B·11 identity the expression as a numerical expression or algebraic expression

Answers

Answer:

Step-by-step explanation:

A numerical expression contains numbers and operations. An algebraic expression is almost exactly the same except it also contains variables.

Which problem can be represented by the equation 100x+50=710?

A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?

A coin bank can hold 100 coins. There are 50 coins in the bank. A student puts in 710 coins per week. How many weeks until the bank is full?

A coin bank can hold 100 coins. There are 710 coins in the bank. A student puts in 50 coins per week. How many weeks until the bank is full?

A coin bank can hold 710 coins. There are 100 coins in the bank. A student puts in 50 coins per week. How many weeks until the bank is full?

Answers

Answer: The first answer

A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?

Step-by-step explanation:

We want to see which problem can be represented with the equation:

100*x + 50 = 710.

The correct option is:

"A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?"

So, let's briefly analyze the equation.

We have the linear equation:

100*x + 50 = 710.

On the left side, we have 100 times the variable plus a constant of 50, and that must be equal to 710.

So, we start with 50, and if x counts the number of weeks, we add 100 per week.

And because that is equal to 710, we are counting the number of weeks that we need to add 100 to get to that number.

So the problem that meets these conditions is:

"A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?"

If you want to learn more, you can read:

https://brainly.com/question/2263981

Someone please help and let it be the right answer I'm failing math

Answers

Answer:

Step-by-step explanation: the triangle is negative 6, plus 18 half in the middle.

In Danville, the only hospital does not have an emergency room for badly injured patients. Patients with serious injuries are taken to the emergency room in Richmond, 9.8 miles away. On a map of the area, these two hospitals are 2 inches apart. What scale does the map use? Write your answer as a decimal or whole number.

1 inch = _ Miles

Answers

.2041 miles! please look at my picture for steps on how to do it


Which statement correctly describes a characteristic that a scientific
measuring tool should have?
A. To be accurate, it must be able to give consistent measurements
of a quantity
B. To be accurate, it must be able to make measurements using very
small units.
C. To be accurate, it must be able to make measurements that are
close to the actual value.
D. To be accurate, it must be able to make measurements using very
large units.
M

Answers

Answer:

I want to say your answer is option B.

Characteristics of a scientific measuring tool consist of:

Measure Ability

Usability

Validity

Reliability

Practicability

Essentially the measuring tool needs to be accurate.

Looking at the options, the answer that fulfills these requirements is Option A.

Best of Luck!

Write and real-world problem that could be represented by the inequality below:

x+ 655 < 5x + 600

Answers

Answer:

Tiffany has a number of skittles plus 655 watermelon sour patch kids. Compared to Jake, Jake has 5 times more skittles than Tiffany, plus 600 watermelon sour patch kids. Write an inequality to represent this scenario.

I hope this helped! :) If it was correct for your question please give me brainliest!

Sort the objects according to their densities. Which will float? Which will sink?
Remember, water has a density of 1 gram per cubic centimeter.
Clay: 54 g/45 cm
Float in Water (density < 1 g/cm)
Sink in Water (density > 1 g/cm”)
Brick 38 g/20 cm
Oak wood: 56 g/80 cm
Wheat 24 g/30 cm
Butter: 8.7 g/10 cm

Answers

Answer:

Float in Water:

Wheat

Butter

Oak wood

Sink in Water:

Brick

Clay

Step-by-step explanation:

No idea honestly, but make sense also do not mind my user. Brainly was being annoying by ADs and keep putting them in my face.

HELP!!! what is the answer to this 5(2)+5(7)

Answers

Answer:

45

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

5(2) + 5(7)

Step 2: Multiply

10 + 35

Step 3: Add

45

Answer:

45

Step-by-step explanation:

Parenthesis means you would need to multiply

so

(5 x 2) + (5 x 7)

= 10 + 35

add

= 45

Geometry Basics Unit 1 - Please Help​

Answers

Answer: 24

Step-by-step explanation:

if line BD = line BC, then

5x - 26 = 2x + 1

3x = 27

x = 9

so if you plug that pack into the original equation for line BC (2x + 1), then line BC is 19 units long. now, subtract that from AC to find the length of AB:

43 - 19 = 24 units

What way of solving systems would you Ik use for these two equations ? X=3 y=2x+1

Answers

Answer:

Substitution

Step-by-step explanation:

Subtitue x=3 into the second equation

y=2(3)+1

y=6+1

y=7

four times the sum of a number and ten

Answers

Answer:

0.75=n

Step-by-step explanation:

10=4n+7

-7        -7

3=4n

divide by four

0.75=n

your welcome :)

Answer:
0.75=n

Explanation:Because 10=4n+7 and 3=4n which means that 0.75=N

Find the distance between X(-9,3) and Y(6,-4)

Answers

Answer:

[tex]d=\sqrt{274}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(6-(-9))^2+(-4-3)^2} \\d= \sqrt{(15)^2+(-7)^2} \\d= \sqrt{225+49} \\d= \sqrt{274}[/tex]

Which table represents a linear function?


1
1
y
1
2
1
XIN
1
2
2
2
3
4
9
13
21
3
12
2
3
AWNI
4
4
Х
1
у
0

2
3
4
6
16
30

Answers

Answer:

Step-by-step explanation:

H

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