1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lostsunrise [7]
3 years ago
12

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 tw

o 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?
Mathematics
1 answer:
arlik [135]3 years ago
7 0

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

You might be interested in
Jamie is the accountant of a logistics company. In the month of December, $5,000 of wages remained unpaid. The accounting period
Ymorist [56]
Wages expenses. 5000
To wages payable. 5000
3 0
3 years ago
Read 2 more answers
Find the coordinates of the midpoint M of the segment with the given endpoints. Then find the distance between the two points. R
Mrac [35]

Answer:

Midpoint (-2,4)

distance nearest tenth = 8.9

The approximate distance = 9

Step-by-step explanation:

Formulas

PQ midpoint = (x2 + x1)/2, (y2 + y1)/2

distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Givens

x2 = -4

x1 = 0

y2 = 1

y1 = 7

Solution

M(PQ) = (-4+0)/2, (1 + 7)/2

M(PQ) = -2, 4

The midpoint is -2,4

The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )

The distance = sqrt(16 + 64)

The distance = sqrt(80)

The distance = 4√5           exactly

The distance = 8.94    

The distance = 8.9            To the nearest tenth

Question 2

The distance is rounded to the nearest whole number which is 9.

6 0
3 years ago
Describe the correct answer to this problem including units what is the volume of the figure
Andru [333]

Step-by-step explanation:

height = √6.5² - 2.5² = 6ft

8 0
3 years ago
Simultaneous equations 5x+y=28 x+y=2
ludmilkaskok [199]

Answer:

<h2>( \frac{13}{2}  \:,  -  \frac{9}{2} )</h2>

Step-by-step explanation:

5x + y = 28

x + y = 8

Solve the equation for y by moving 'x' to R.H.S and changing its sign

5x + y = 28

y = 2 - x

Substitute the given value of y into the equation 5x + y = 28

5x + 2 - x = 28

Solve the equation for x

Collect like terms

4x + 2 = 28

Move constant to R.H.S and change its sign

4x = 28 - 2

Subtract the numbers

4x  = 26

Divide both sides of the equation by 4

\frac{4x}{4}  =  \frac{26}{4}

Calculate

x =  \frac{26}{4}

Reduce the numbers with 2

x =  \frac{13}{2}

Now, substitute the given value of x into the equation y = 2 - x

y = 2 -  \frac{13}{2}

Solve the equation for y

y =  -  \frac{9}{2}

The possible solution of the system is the ordered pair ( x , y )

<h2>(x \: y) = ( \frac{13}{2} , \:  -  \frac{9}{2} )</h2>

-------------------------------------------------------------

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

5 \times  \frac{13}{2}  -  \frac{9}{2}  = 28

\frac{13}{2}  -  \frac{9}{2}  = 2

Simplify the equalities

28 = 28

2 = 2

Since , all of the equalities are true, the ordered pair is the solution of the system.

(x  \:, y \: ) = ( \frac{13}{2}  \: , -  \frac{9}{2})

Hope this helps....

Best regards!!

5 0
3 years ago
Read 2 more answers
The length of an object in feet is equal to three times it's links in yards. The length of a waterslide is 48 feet. Right and so
disa [49]
Formula:

1 yard = 3 feet

x yards = 48 feet

Equation:


48 / 3 = x

 
3 0
3 years ago
Other questions:
  • you were given 15$ from your auntie to go to the mall. you spend 6$ on snacks, and 5$ on shirt on your way to the car,you found
    15·1 answer
  • A store is having a sale on where movies are 15% of their original price. A movie is on sale for $22.10. What is the original pr
    10·2 answers
  • A widget company produces 25 widgets a day, 5 of which are defective. Find the probability of selecting 5 widgets from the 25 pr
    9·1 answer
  • Solve for a.<br><br> 7a - 2b = 5a + b<br><br> a = 2b<br> a = 3b<br> a = b<br> a = b
    13·1 answer
  • 2.) 4x + 8.2 ≤ 32.2 *<br><br> A. x ≤ 60<br> B. x ≥ 6<br> C. x ≥ 60<br> D. x ≤ 6
    14·2 answers
  • 0+3y=31<br> 16-16 <br> 3y = 21<br><br><br> 34 = 21<br> 3 3<br><br> 4=7
    11·1 answer
  • 4x-3y=-15 In slope form
    8·1 answer
  • You pick a card at random.
    9·2 answers
  • How many seconds are there in 203060708030506040 hours?​
    9·1 answer
  • 24 cm ,18cm ,c <br> We are looking for c
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!