Miss David's birthday is in April, and she is going to have a party. She is looking to buy a bag of decorations. Each bag has two different types of decorations: balloons and streamers. The first bag has 11 balloons and 6 streamers. The second bag has 15 balloons and 4 streamers. The last bag has 6 balloons and 12 streamers. Bag 1 costs $91, bag 2 costs $99, and bag 3 costs $102. How much does each type of decoration cost?

Answers

Answer 1

Answer:

b = $5

s = $6

Step-by-step explanation:

this can be solved using simultaneous equation

s = streamers

b = balloons

either of the 3 equations can be used to determine the price of the items

11b + 6s = 91 equation 1

15b + 4s = 99 equation 2

multiply equation 1 by 4 and equation 2 by 6

44b + 24s = 364 eqn 3

90b + 24s = 594 eqn 4

subtract equation 3 from 4

230 = 46b

b = 5

substitute for b in eqn 1

55 + 6s = 91

s = 6


Related Questions

1) A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip
back took 16 hours. What is the speed of the boat in still water? What is the speed of the
current?
A) boat: 13 mph, current: 4 mph B) boat: 30 mph, current: 2 mph
C) boat: 45 mph, current: 1 mph D) boat: 20 mph, current: 4 mph

Answers

Answer:B

I think we are in the same class lol

Step-by-step explanation:448 divided by 14= 32

448 divided by 16= 28

B=speed of boat in water

Y= Speed of current

B+y=32

B-y=28

32 + 28 =60

60 divided by 2 = 30

32 -30 =2

B=30

Y=2

Add my discord if you need more help Snapple#0141

A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip back took 16 hours. B) boat: 30 mph, current: 2 mph.

How to find the speed of an object?

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units time, then that object's speed is

[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

A boat traveled 448 miles downstream and back.

The trip downstream took 14 hours. The trip back took 16 hours.

[tex]S = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

Speed of downstream

448/ 14= 32

Speed of back stream

448 / 16= 28

B = Speed of boat in the water

Y = Speed of current

The system of equation

B + y = 32

B - y = 28

32 + 28 =60

60 / 2 = 30

So,

32 - 30 =2

B = 30  

Y = 2

Learn more about motion in stream here:

https://brainly.com/question/14297576

#SPJ2

A. X = 18
B. X = 48
C. X = 82
D. X = 98

Answers

Answer:

b. x=48

Step-by-step explanation:

just try each one until you get an answer that equals to 180 degrees

Answer:

the answer is b.X=48....

find the equation of the line that passes through the points (-2,3) and (-1,7)

Answers

Answer: y=4x+11

y=mx+b

for the line that passes through the points

When a number is increased by 23. the result is 42. What equation fits this statement?​

Answers

Answer:

n + 23 = 42

Step-by-step explanation:

Well, let's see.

Let's name the number "n".

So, n + 23 = 42.

And there's your answer.

Hope this helped! :)

Answer:

y + 23 = 42

y = 19

Step-by-step explanation:

y + 23 = 42

Subtract 23 from both sides:

y + 23 - 23 = 42 - 23

y = 19

question on picture!!

Answers

Answer:

Step-by-step explanation:

Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the hundredths place.

Answers

Answer:

whats the problem

Step-by-step explanation:

any tips on how to do this?? i have no clue how

Answers

Answer:

6.7

Step-by-step explanation:

For this questions we have the oppsotie side and need the adjacent

out of SOH, CAH, TOA we will sue TOA

tan(56)=10/x

tan(56)/10=1/x

10/tan(56)=x

x=6.745 which rounds to 6.7

You can write the equation of the line if you have two points on the line.
Is that true or false?

Answers

pretty sure it is true. sorry if wrong.
That’s true. If I were to explain why it would be restating the true or false question.

The vertices of a square ABCD are labelled anti-clockwise. A and C are the vertices of an equilateral triangle AEC, whose vertices are also labelled anti-clockwise

Answers

Answer:

Sorry, I don't think there's enough information to solve the problem.

Step-by-step explanation:

Well, there's no numbers to say what the measures of the vertices are. Also, it seems like the question got cut out because the second sentence is incomplete.

Find the value of x in the triangle shown below

Answers

Where is the triangle? Pls help

write -5.6 x 10^-3 in standard form?

Answers

Answer:

-0.0056

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/math/scientific-notation-converter.php

hi! please help i’ll give brainliest

Answers

Answer:

A, the keyword deciduous means wearing away and erosion means fading away. The two are common so therefore your answer is A.

ou find a clue wrapped around a Toblerone bar. The base was an equilateral triangle with a side of 16 mm and the bar was 155 mm long. How many sq mm was the clue? (lateral surface area)

Answers

Answer:

54 cubic inches?

Step-by-step explanation:

The Surface area of bar is 7696 square mm.

What is Surface area?

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

We have,

The base was an equilateral triangle with a side of 16 mm and the bar was 155 mm long.

So, Surface area of Triangular Prism

= ( 16 + 16 + 16) 155 + 16  x 16

= 7440 + 256

= 7696 square mm

Learn more about Surface area here:

https://brainly.com/question/29298005

#SPJ7

The area of a triangular banner is 64 square feet. The base of the banner is 16 feet long. Write an equation you can use to find the height h of the banner. (Hint: A=1/2bxh)
Write it as an equation.

Answers

The equation would be h=(2A)/b

-3b-75=0 I need 2 solutions

Answers

Answer:

-25

Step-by-step explanation:

-3b-75=0

    +75 +75

-3b=75

/-3    /-3

b=-25

There isn't 2 solutions

---

hope it helps

Cara leaves her house at 10:03 and arrives at the library at 10:17. Irena leaves her house at 11:55 and arrives at the library at 12:06. Who takes longer to get to the library? How many minutes longer? Blank takes longer. She takes blank minutes longer

Answers

Answer: Cara takes longer to get to the library. She used 3 minutes more

Step-by-step explanation:

Cara leaves her house at 10:03 and arrives at the library at 10:17. The number of minutes used by Cara will be:

= 10.17 - 10.03

= 14 minutes

Irena leaves her house at 11:55 and arrives at the library at 12:06. The number of minutes used by Irena will be:

= 12.06 - 11.55

= 11 minutes

Cara takes longer to get to the library. She used (14 - 11) = 3 minutes more


Find the value of x in the given
right triangle.
12
x = [?]°
х
5
Enter your answer as a decimal rounded to the
nearest tenth.

Answers

Answer:

65°

Step-by-step explanation:

to find angles, use the inverse trig function (in this case, tan^-1)

tan^-1(5/12)

Answer:

65.4

Step-by-step explanation:

Write an expression in the form ax+b, where a and b represent rational numbers, that is equivalent to 6 (-1/2x + 2) + 1/4 (18x-12)


I need this answered by today, please!!

Answers

Answer:

[tex]6x + 6[/tex]

Step-by-step explanation:

Given

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12)[/tex]

Required

Express as [tex]ax + b[/tex]

We have:

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12)[/tex]

Open brackets

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 6 *-\frac{1}{2}x + 6*2 + \frac{1}{2} *18x-\frac{1}{2} *12[/tex]

Evaluate all multiplications

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = -3x + 12 + 9x-6[/tex]

Collect like terms

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 9x-3x + 12-6[/tex]

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 6x +6[/tex]

Hence, the expression in form of [tex]ax + b[/tex] is [tex]6x + 6[/tex]

Classify this triangle by its sides.

Answers

Step-by-step explanation:

The answer is scalene triangle

Answer:

scalene

Step-by-step explanation:

all the sides of a scalene triangle have different lengths, as shown in the picture :)

Escribir un 8% como un decimal

Answers

Answer:

8% como un decimal es 0.08%

Espero que te ayude!

two students were walking to school one day when they saw two teachers each walking with two dogs. Each dog had two ears.How many dog ears where they in all

Answers

Answer:

there were 8 dog ears in all.

Step-by-step explanation:

Since the statement says that they saw two teachers each walking with two dogs, you have to multiply the number of teachers for the number of dogs each one had to find the total number of dogs they had:

2*2=4

Now, as the statement indicates that each dog had two ears you have to multiply the number of dogs for the number of ears each one has:

4*2=8

According to this, the answer is that there were 8 dog ears in all.

In a quiz, you receive 7 points for a correct answer and –4 points for an incorrect answer.You receive 0 points if you do not answer the question.There are 20 questions in total.Is it possible to get a score of –11 in this quiz?

Answers

Answer:

Yes it is possible

Step-by-step explanation:

Given

[tex]n = 20[/tex]

[tex]x= 7[/tex] --- correct

[tex]y = -4[/tex] --- wrong

[tex]z = 0[/tex] --- empty answer

Required

Is a total of -11 possible?

To do this, we apply trial by error method.

After so many approaches, I found the following solution

[tex]x \to 3[/tex] -- Got 3 correctly

[tex]y \to 8[/tex] --- Failed 8

[tex]z \to 9[/tex] ---- Didn't answer 9

The above will give a score of -11.

We have:

[tex]3x+8y+9z[/tex]

[tex]3x+8y+9z = 3 * 7 + 8 * -4 + 9 * 0[/tex]

[tex]3x+8y+9z = 21-32 + 0[/tex]

[tex]3x+8y+9z = -11[/tex]

Hence, a score of -11 is possible

Which of the following expressions can be used to find how many meters it is from Washington, D.C.,To Baltimore

Answers

What where are the expressions at?

PLS HELP ASAP RIGHT NOWWW

Answers

Answer:

The correct answer is 1/3.

Step-by-step explanation:

The reason why is because there is 3 animals. Then one beaver. So it would be 1/3.

Answer:

0.33

Step-by-step explanation:

Because they are all equal, each animal has to have the same percentage. Because there are 3 options it can land on, the denominator is 3. Because the beaver is 1 of the 3, the answer is 1/3. 1/3 is equal to 0.33 rounded so the answer is 0.33.

PLEASE HELP ASAP

answer has to be in simplest radical form

find s

Answers

Answer:

s = 6√3

Step-by-step explanation:

We can recognize that the triangle in the image is a special 30 - 60 - 90 triangle. In a 30 - 60 - 90 triangle, the leg opposite the 60 degree angle, s,  is √3 times the leg opposite the 30 degree angle, in this case 6m. We can write an equation to model the situation:

s = 6 * √3

s = 6√3

I have no clue what its asking me to do or what to do so do it for me please

Answers

Answer:

i cant see the question :(

Step-by-step explanation:

You are buying a home for $158,950. You have an annual interest rate of 3.72% over the next 30 years. How much is the final cost of the house after 30 years? Round to the nearest hundredth

Answers

the answer is $475,484 I believe

The math team at Felix's school includes students from the sophomores, juniors, and senior classes. Felix wants to create a display to show the percent of students on the math team from each class. Which type of graph best represents the data?

a: stem and leaf plot
b: circle graph
c: line graph

Answers

Answer:

B

Step-by-step explanation:

A circle graph also known as a pie chart is used to represent data graphically. the circle graph is made up of a circle that is divided into quadrants. Each quadrants represents different classifications of data and the proportion of each classification.

the sum of angles in a pie chart is 360 degrees while the total percentages is 100%.

If there are 25% of the students in a class each take maths, physics , biology and chemistry, the pie chart would be divided into 4 quadrants with each quadrant measuring 25%

If sin 0 = 1/2, find the degree measure of 0.​

Answers

Answer:

30°

Step-by-step explanation:

[tex] \sin \theta = \frac{1}{2} \\ \\ \sin \theta = \sin 30\degree \\ \\ \theta = 30 \degree[/tex]

Suppose chocolate costs $17.60 per kilogram. Karega buys 25 grams of chocolate and Samadhi buys 100 grams of chocolate.
How much more did Samadhi pay for her chocolate?
0.44
1.32
2.20
2.64

Answers

Answer:

The answer is $1.32 :)

Step-by-step explanation:

Answer:

1.32

Step-by-step explanation:

i tested at risk its correct have nice day :>

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