You buy 4 balloons and 2 banners for $8. Your friend buys 6 balloons and 1 banner for $8.


Each balloon costs ?$

and each banner costs ?$

Answers

Answer 1

Answer:

Each balloon costs $1

Each banner costs $2

Step-by-step explanation:

First of all, let's write down the equation from this problem.

Let "y" be the cost of the ballon, and let "x" be the cost of a banner. Then the following is true from the question...

4y + 2x = 8

6y + x = 8

Now since both of them are equal to 8 both of them are equal to each other, and so we can get the following equation...

4y + 2x = 6y + x

2x - x = 6y - 4y

x = 2y

Now if we substitute 2y instead of x in one of the previous equations we will obtain...

6y + x = 8

6y + 2y = 8

8y = 8

y = 1

From the equation x = 2y we know that...

x = 2y

x = 2(1)

x = 2


Related Questions

Montana is known for having very chilly winters. One night, the temperature was falling by 2 degrees Fahrenheit each hour. At sunset, the temperature was -5 degrees Fahrenheit. How many hours will it take for the temperature to reach -19° F?​

Answers

Answer:

7 hours

Step-by-step explanation:

We are given that

At sunset, the temperature=-5 degrees Fahrenheit

Each hour, temperature falling=2degrees Fahrenheit

We have to find time taken to reach the temperature -19° F.

Let x be the time time taken to reach the temperature -19° F

According to question

[tex]-5+x(-2)=-19[/tex]

Where we taking 2 negative because temperature decreases.

[tex]-5-2x=-19[/tex]

[tex]-5+19=2x[/tex]

[tex]14=2x[/tex]

[tex]x=\frac{14}{2}[/tex]

[tex]x=7[/tex]

Hence, it will take 7 hours for the  temperature to reach -19° F.

Find the slope of the line passing through the pair of given points.
(5, 7) and (2,7)

Answers

Answer:

m = 0

Step-by-step explanation:

[tex]m = \frac{7 - 7}{5 -2} \\m = \frac{0}{3}\\m = 0[/tex]

Which of the methods can be you to solve -2/3c=16

Answers

Answer:

C. Divide each side by -2/3

Step-by-step explanation:

-2/3 is being multiplied by c. So we have to do the inverse of multiplication which is division.

can someone help me with this? it's timed, pls help!!!!!!!!!!!

Answers

C ............................

PLEASE HELP If you can i'd really appreciate it!!!
An average clementine is shaped like a sphere and has a diameter of 3.5 inches. What is the volume of the fruit? Use 3.14 for pi. Round your answer to the nearest hundredth. (4 points) a 20.45 cubic inches b 21.34 cubic inches c 22.44 cubic inches d 23.78 cubic inches

Answers

Answer:

The volume is 22.44 cubic inches

Step-by-step explanation:

The formula for the volume of a sphere is  

We know the diameter, but we can easily convert this into the radius by dividing it by 2, since the diameter is twice as long as the radius.

3.5/2 = 1.75

Now we can find the volume.

So, the average volume of a clementine is 22.46 cubic inches

The closest option you have is 22.44 so if you round it that should be your answer.

1). What is the perimeter of the triangle?
с
5 mm
12 mm

Answers

Answer:

30

Explanation:

To begin, first find the length of the third side of the triangle. We are given that the two short sides of the triangle have lengths of 5 and 12. Use the Pythagorean Theorem to find the length of the third side:

a2+b2=c2,

where a and b represent the two shorter sides of the triangle, and c is the hypotenuse:

a2+b2=c2

52+122=c2

25+144=c2

169=c2

169−−−√=c2−−√

c=13

Now that we have the lengths of all three sides, add them together to find the perimeter:

5+12+13=30

The perimeter of the triangle is 30.

z
Which of the following congruency statements is
correct?
2.4 cm
108
2.4 cm
O AYZX - ABCD
Y
36°
36
Ο ΔΥΖX2 ΔDCB
3.8 cm
Ο ΔZXΥ: ΔDCB
Х
O AYXZ – ACDB
B
3.8 cm
136
2.4 cm
36°
С
1089
2.4 cm
D
Orange

Answers

Answer:

the answer is c

Step-by-step explanation:

A store decreases its prices on all items by 30%. A pair of shoes that originally cost x dollars before the sale now costs x – 0.3x. What is another expression to represent the new cost of any pair of shoes in the store?

Answers

Answer:

what are the answer choices ma'am or sir

Step-by-step explanation:

Answer:

x-0.3

Step-by-step explanation:

Which equation shows the relationship 30% of 140 is x?

Answers

Answer:

Step-by-step explanation:

[tex]equation: \frac{x}{140} = \frac{30}{100} \\reduced: 100x = 4200\\ solved: \frac{100x}{100} = \frac{4200}{100} \\x = 42[/tex]

An equation is formed of two equal expressions. The equation that shows the relationship 30% of 140 is x is x=0.30×140.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that 30% of 140 is equal to x. Therefore, we can write,

[tex]\text{30\% of 140} = x\\\\\dfrac{30}{100} \times 140 = x\\\\x = 0.30 \times 140\\\\x=42[/tex]

Hence, the equation that shows the relationship 30% of 140 is x is x=0.30×140.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

who ever answers this question gets brainy

Answers

Answer:

it is B because the answer is 14 so that why it is B

A home improvement store advertises 60 square feet of flooring for 253 plus an additional 80 installation fee. What is the cost per square foot for flooring?

Answers

Answer:

Step-by-step explanation:

Your answer

5.55 per square foot

Mark it as Brainlist. Follow me for more answer.

Please help if you can’t see the photo the problem is
.5/1 = x/1.2+x

Answers

Answer:

x= 30/11

11x=30

Step-by-step explanation:

Help geometry hw will give brainliest

Answers

Answer:

34 degrees

Step-by-step explanation:

Angle K is similar to Angle R, and Angle R is 34 degrees. So Angle K is also 34 degrees.

Hope it helps!

how can i solve this problem ​

Answers

Step-by-step explanation:

first find x

2x+15=6x-1

15+1=6x-2x

16=4x

x=4

then find the value of the angle

6(4)-1=23

lmk if it is right

Answer:

Step-by-step explanation:

In rectangle, diagonals bisect each other and diagonals are equal.

So, AE = DE

∠ADE = ∠DAE            {Angles opposite to equal sides are equal}

6x - 1 = 2x + 15

6x      = 2x + 15 + 1

   6x = 2x + 16

6x -2x = 16

4x      = 16

       x = 16/4

       x = 4

∠ADE = 6x - 1

         = 6*4 - 1

         = 24 - 1

        = 23

CAN SOMEONE PLEASE HELP ME THIS IS DUE IN 20 minutes

Answers

Answer:

Step-by-step explanation:

Answer:

He'll end up paying 5,382 more than he borrowed.

Step-by-step explanation:

12 months in one year right so multiply 10 by 12.

You get 120 months in 10 years. Multiply $179.85 times 120 months.

Then you'll get the total amount he'll end up paying in those 10 years which is 21,582.

Subtract 21,582-16,200 and you get the amount of how much more money he'll end up paying which $5,382.

hope this helps

If x = 3 and y = 5, work out the value of a) 4x - 2y
b) 2x2 + 3y2

Answers

Answer:

A) 12-10

B)36+225

Step-by-step explanation:

A) 3x4=12, 5x2= 10= 12-10

B) 3x2=6x6=36, 3x5=15x15=225=36+225

For x = 3 and y = 5 the values of the given expressions are (a) 4x - 2y = 2 and (b) 2x² + 3y² = 93.

What is substitution?

Substitution is a mathemaical technique for replacing variables with specific or covnient values according to the context.

When the values of variables are given to solve an equation we just have to replace those numerical values in place of the given variables.

Given, x = 3 and y = 5.

∴ 4x - 2y is,

= 4(3) - 2(5).

= 12 - 10.

= 2.

And

2x² + 3y².

= 2(3²) + 3(5²).

= 2(9) + 3(25).

= 18 + 75.

= 93.

learn more about substitution here :

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#SPJ2

How would you define slope?

Answers

Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

are you suppose to divided 5t

Answers

Answer:

Yes.

Step-by-step explanation:

I’ll give u a kiss if u help me with this ASAP PLZZZZ with an explanation ;)

Answers

Answer:

The answer is 0

So I think no solutions

Step-by-step explanation:

You gotta get each equation into slope-intercept form, nd when u do that 9x - 3y = 6 turns into y = 3x - 2, nd 5y = 15x + 10 turns into y = 3x + 2. Add the equations together, nd get 0.

Answer:

The answer is 0

Step-by-step explanation:

get each equation into slope-intercept form, and when you do that 9x - 3y = 6 turns into y = 3x - 2, nd 5y = 15x + 10 turns into y = 3x + 2. Add the equations together, and get 0.  i hope i get a french kiss

-3(x-2) i am having trouble with this lol

Answers

Answer: -3x + 6

Step-by-step explanation:

Multiply using the disturbutive property.

Answer:

-3x + 6

Step-by-step explanation:

-3x - 3x (-2)

multiply it

-3x+6

hii please help i’ll give brainliest if you give a correct answer please please hurry it’s timed (it’s not math but nobody’s answering)

Answers

Answer:

they are equal and act in opposite directions

Step-by-step explanation:

Please Find the solution to the following system using substitution or elimination: y = 3x + 7 y = -2x -3
A. (-2,1)
B. (-2,-7)
C. (1,10)
D. (1,-4

Answers

answer: A (-2, 1)
see image explanation attached

Eric needs to cut a board into 6 equal pieces. The board is 4 feet long.
How long will each piece be?

Answers

Answer: 24 feet long or 10 feet long.

Step-by-step explanation: I Hope this helps Have a Blessed day.

The product of 2.5 and a number is 10. First write an equation to describe the situation.

Answers

Answer:

2.5 X z = 10

z stands for the unknown number that is multiplied by 2.5 to equal 10

please answer asap.

In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band.
Find the probability that a student chosen at random is in the choir or the band or both

Answers

There are 250 total students.

180 take band.
60 take band and chorus .... that is the intersection of the 2 groups.

How do I work this out?

Answers

the answer is 7, inversely proportional to x+9 therefore making it 22cm squared
hope this helps

(+6) + (−11) + (+5) + (−7)

Answers

Answer:

-7.

Step-by-step explanation:

By grouping positive and negative terms, we see that (+6) + (−11) + (+5) + (−7) = (6+5) - (11 + 7) = 11 - 18 = -7.

I need help with this?

Answers

Answer:

it is 7

Step-by-step explanation:

What is the value of the expression - 1.76 • 1/5 • (- 3.6)? Enter your answer below.

Answers

Answer:

-9.504

Step-by-step explanation:

First you do 1.76 times 1.5 which is 2.64. Then you do 2.64 times negative 3.6 which would be -9.504.

Answer:

Step-by-step explanation:

brooooooooo wtfffffffff

There were 26 nickels,dime,and quarters in all and their value was $2.25. How many coin of each type were there if there were 10 times as many nickels as quarters

Answers

Answer: is it 22.50

Step-by-step explanation:

Answer:

1 Quarters , 10 Nickles , 15 Dimes

Step-by-step explanation:

Start with the biggest coin and go down.

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