6. Suppose you bought supplies for a party. Three rolls of streamers and 15 balloons
cost $30. Later, you bought 2 rolls of streamers and 4 balloons for $11. How much did
each roll of streamers cost? How much did each balloon cost?

Answers

Answer 1

Answer:

Streamers are $2.50 each

Balloons are $1.50 each

Step-by-step explanation:

Make a system of equations

3s + 15b = 30

2s + 4b = 11

Solve by elimination: multiply the top equation by 2 and the bottom equation by -3.

6s + 30b = 60

-6s -12b = -33

18b = 27

b = 1.5

Plug in 1.5 as b to find s

3s + 15(1.5) = 30

3s +22.5 = 30

3s = 7.5

s = 2.5

The streamers are $2.50 and the balloons are $1.50


Related Questions

Anna is following this recipe to make biscuits.
Anna uses 550 g of sugar.
How many grams of oats will she need?

Recipe: Makes 24 biscuits
125 g margarine
100 ml syrup
275 g oats
110 g sugar
55 g chocolate

Answers

Answer:

Anna will need 1375 g of oats

First make a ratio, where x is the amount of oats

110:275

550:x

To find x,we do (275*550)/110

Which is 1375gs of oats

Which of the following could be used as an example of a mass of one kilogram?
A. a grocery sack of apples
B. 10 paperclips
C. a soda cup of water
D. a filled suitcase

Answers

Answer:

i would think C

Step-by-step explanation:

PLZ HELP :) 10 PTS

Justify whether matrix A is invertible.


A.

Yes, because its determinant is not equal to zero.

B.

Yes, because its determinant is greater than zero.

C.

No, because its determinant is zero.

D.

No, because its determinant is less than zero.

E.

No, because its determinant is not equal to zero.

Answers

Answer: is C

Hope this helped if not I’m sorry i did my research :(

We have that

The Matrix A  is a singular square matrix and because its determinate is zero. No the Matrix A is inveritible because its determinant is not equal to zero.

Option E is correct

From the question we are Given the matrix:

[tex]A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}[/tex]

Invertible Matrix

In linear algebra, an n-by-n square matrix A is called invertible if there exists an n-by-n square matrix B such that

[tex]AB=BA=I_n[/tex]  

where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.

Invertible Matrix characteristics does not apply to singular square matrix, A square matrix is singular if and only if its determinant is zero

Generally the determinate of Matrix A is given as

[tex]A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}[/tex]

[tex]D=(6*6)-(-4*-9)\\\\D=0[/tex]

In conclusion

The Matrix A is a singular square matrix and because its determinate is zero.

So, No the Matrix A is inveritible because its determinant is not equal to zero.

Option E is correct

For more information on this visit

https://brainly.com/question/18028537

On a number line, a segment has endpoints of -2.5 and 4.5. What is the midpoint?

Answers

Answer:

1

Step-by-step explanation:

[tex]Midpoint \\ \\ = \frac{4.5 + ( - 2.5)}{2} \\ \\ = \frac{4.5 - 2.5}{2} \\ \\ = \frac{2}{2} \\ \\ = 1[/tex]

Write 240 as a product of primes. Use index notation where appropriate.

Answers

Answer:

2^4x3x5

Step-by-step explanation:

240=2x120

120=2x60

60=2x30

30=2x15

15=3x5

Which pair of terms are not both true for the number 3? Mark Brainliest!

A. Integer and rational number
B. whole number and integer
C. Natural number and integer
D. whole number and irrational number

Answers

Answer:

D

Step-by-step explanation:

3 is not irrational, it can be converted into a fraction (ratio) 3/1 quite easily

sally has a part time job mowing lawns so she can save money for a new car. she charges $5 per hour define the independent and dependent variables

Answers

Answer:

Independent: Amount of hours she works

Dependent: Amount of money she makes

Step-by-step explanation:

The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.

The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.

What is 1/2 convert to 6?


A. 6
B. 12
C. 3

Answers

hi

if you mean   :   1/6 =    ... / 6   it's 3  as 3/6 = 1/2

Which expression does not represent "the sum of n and 6"?
O6 + n
On +6
O on

Answers

Answer:

n+6

Step-by-step explanation:

sum means add

n+6

Show me da way to the answer. Find the endpoint of the line segment with the given endpoint and midpoint.
Endpoint: (6,−5) Midpoint: (6,2)

Answers

(6, 9) is the other end point. This is because the given endpoint is 7 units below the midpoint. Therefore, the other one is seven above, at a y value of 9.

If this trapezoid is moved through the translation (x+3,y-2), what will be the coordinates of be?

Answers

Answer:

C'(1, 2 )

Step-by-step explanation:

The translation (x + 3, y - 2 ) means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus

C(- 2, 4 ) → C'(- 2 + 3, 4 - 2 ) → C'(1, 2 )

Cindy went to the salon to get highlights and a haircut. Her total cost was $95. Cindy decided to tip her stylist 22% because she loved her hair so much. How much was the tip?

Answers

Her tip would be $20.90

Angle Measures and Segment Lengths - Find the value of y - WILL GIVE BRAINLIEST!

Answers

Answer:

4.3 cm

Step-by-step explanation:

By the theorem of intersecting secants outside of a circle.

[tex]3 \times (y + 3) = 2 \times (2 + 6 + 3) \\ 3(y + 3) = 2 \times 11 \\ 3y + 9 = 22 \\ 3y = 22 - 9 \\ 3y = 13 \\ y = \frac{13}{3} \\ y = 4.3 \: cm[/tex]




Which statement best explains why pollution stays within the Earth's atmosphere? *

Answers

Answer:

Because of cars, and factories making it everyday.

Step-by-step explanation:

Solve for s 2-2s=3/4s+13

Answers

Answer:

s=-4

Step-by-step explanation:

Bring the S to one side and the numbers to the other

-11/4s=11

Then just divide, but when dividing fractions you have to switch the fraction so..

s=11*(-4/11)

s=-4

State the negation of the following statement: It is cloudy.

Answers

Answer:

It is not cloudy.

Step-by-step explanation:

The negation is like the opposite of the statement. If you were to say something true, the negation of it would be false.

Answer: It is not cloudy.

Step-by-step explanation:

what is the definition for a line segment

Answers

Answer: A line segment is a part of a line. It has 2 endpoints.

Step-by-step explanation:

Step-by-step explanation: In geometry, a line segment is a segment that's composed of two points, which are called the endpoints, and all the points that are between the endpoints.

So, in order for a figure to be a line segment,

it needs to begin and end at an endpoint.

Take a look at the image provided below.

What is the vertex of the function f(x)=3(x-4)^2+5

Answers

Answer:

vertex = (4, 5 )

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = 3(x - 4)² + 5 ← is in vertex form

with vertex = (4, 5 )

ASAP! The graph of an exponential model in the form y = a ⋅ bx passes through the points (1, 10) and (2, 20). Which point is also located on the graph? a) (0,0) b) (0,5) c) (3,30) d) (2,20)

Answers

Answer:

b

Step-by-step explanation:

Because y increases by a factor of 2 every time x goes up by 1, the opposite happens when x decreases by 1. This means that when x = 0, y = 5 so the answer is b.

Applying the points and finding the equation, it is found that point (0,5) is also on the graph, option b.

The exponential equation has the following format:

[tex]y = ab^x[/tex]

Point (1,10) means that when [tex]x = 1, y = 10[/tex], thus:

[tex]ab = 10[/tex]

Point (2,20) means that when [tex]x = 2, y = 20[/tex], thus:

[tex]ab^2 = 20[/tex]

From the first equation:

[tex]a = \frac{10}{b}[/tex]

Replacing on the second:

[tex]\frac{10}{b}b^2 = 20[/tex]

[tex]10b = 20[/tex]

[tex]b = \frac{20}{10}[/tex]

[tex]b = 2[/tex]

So

[tex]a = \frac{10}{b} = \frac{10}{2} = 5[/tex]

Then, the equation is:

[tex]y = 5(2)^x[/tex]

When [tex]x = 0, y = 5(2)^0 = 5[/tex], thus point (0,5) is also on the graph, which means that option b is correct.

A similar problem is given at https://brainly.com/question/14773454

7x + 14 - 17-3x = 6x - 4z + 2 - 5 find the value of x
3 5 3

Answers

Answer:

when z=3 or 5 , values of x is ; 6 or 10.

I think that there is a lack of information or misspelling in the question.

Step-by-step explanation:

4x-3=6x-4z-3

4z=2x

2z=x

z=3 => x=6

z=5 => x=10

Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.

Answers

Answer:

5

Step-by-step explanation:

Slope equation is (y2-y1)/(x2-x1)

(-1-4)/(2-3)

-5/-1

5

Janet has 7 markers in a backpack. One of them is orange and one is blue. Find the probability Janet will reach into the backpack without looking and grab the orange marker and then reach in a second time and grab the blue marker. Express your answer as a fraction in the simplest form 1/49 1/13 1/7 1/42

Answers

Answer:

a) Not replaced

Yelllow marker First - Then Blue Marker  =

 

(1/10)(1/9)  =  1/90

 

b) Replaced

 

(1/10) (1/10)  = 1/100

 

Answer   "C"

Step-by-step explanation:

Three more than the product of two and a number

Answers

Answer:

2x+3

Step-by-step explanation:

+3 " three more than"

2x " the product of two and a number"

2x+3 " three more than the product of two and a number"

What value of b with cause the system to have an infinite number of solutions?
A.
B.
C.
or
D.

Answers

Step-by-step explanation:

-3x+3x-(b÷2)=-3

0-(b÷2)=-3

-(b÷2)=-3

b=-2×-3=+6

=> b=6

A painter charges 15.40 per hour, plus an additional for the supplies. If he made 188.73 on a job where he worked 7 hours, how much did the supplies cost

Answers

Answer:

80.93

Step-by-step explanation:

15.40×7=107.80

188.73-107.80=80.93

determine whether the systems have one solution, no solution, or infinitely many solutions


3x-2y=3;6x-4y=1


3x-5y=8;5x-3y=2


3x 2y=8;4x 3y=1


3x-6y=3;2x-4y=2


3x-4y=2;6x-8y=1

Answers

Answer:

First system: no solution

Second system: one solution

Third system: one solution

Fourth system: infinite solutions

Fifth system: no solution

Step-by-step explanation:

First system: 3x-2y=3; 6x-4y=1

From the first equation: y = (3x - 3)/2

Using this value of y in the second equation:

6x - 6x + 6 = 1

6 = 1 -> System has no solution

Second system: 3x-5y=8; 5x-3y=2

From the first equation: x = (8 + 5y)/3

Using this value of x in the second equation:

5*(8 + 5y) - 9y = 6

40 + 25y - 9y = 6

16y = -34 -> y = -2.125

x = (8 - 5*2.125)/3 = -0.875

This system has one solution

Third system: 3x-2y=8; 4x-3y=1

 From the first equation: x = (8 + 2y)/3

Using this value of x in the second equation:

4*(8 + 2y) - 9y = 3

32 + 8y - 9y = 6

y = 26

x = (8 + 2*26)/3 = 20

This system has one solution

Fourth system: 3x-6y=3; 2x-4y=2

  From the first equation: x = 1 + 2y

Using this value of x in the second equation:

2*(1 + 2y) - 4y = 2

2 + 4y - 4y = 2

2 = 2

This system has infinite solutions

Fifth system: 3x-4y=2; 6x-8y=1

  From the first equation: x = (2 + 4y)/3

Using this value of x in the second equation:

2*(2 + 4y) - 8y = 1

4 + 8y - 8y = 2

4 = 2

This system has no solution

Which of the following is the solution to the inequality below?
-5x - 10 < 20 ?

1) x > -6
2) x > - 2
3) x < -6
4) x< -2

Answers

Add 10 to both sides.

This gives us -5x < 30.

Now divide both sides by -5.

When you divide both sides of
an inequality by a negative, switch
the direction of the inequality symbol.

So we have x > -6.

in a basket of fruits there are 9 bananas 7 mangoes 2 pineapples. What fraction of the fruits are pineapple?​

Answers

Answer:

1/9

Step-by-step explanation:

9 bananas 7 mangoes 2 pineapples.  = 18 pieces  of fruit

Fraction of fruit that is pineapple

pineapple / total

2/18

Simplifying

1/9

Answer:

1/9

Step-by-step explanation:

To start off, add all of the known fruit amounts in order to find the total amount of fruit.

9 bananas +7 mangoes + 2 pineapples

When you do this, you find that the total fruit is 18

In order to know probability, you must divide the desirable outcome by the total possible outcomes.

The desirable outcome is pineapple. There are 2 pineapples. The total possible outcomes are 18.

2/18

You can simplify this fraction so that it becomes 1/9 by dividing the numerator and the denominator by 2

Please give me Brainliest, I have not got it yet but I have been working for it as hard as I can.

Two opposite sides of a parallelogram are 3x-8 and 10x+13. Find the measure of all sides

Answers

Answer:

Step-by-step explanation:

Using the parallelogram theorem

3x-8 = 10x+13

-7x = 21

x = -3

Substitute

3(-3) - 8

-17

10(-3) + 13

-17

Given that m>KLM=120 degrees, which statement about the figure is true?

A.
B.
C.
D.

Answers

The answer is
m∠HLI = m∠ILM
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