a balloon pump and 3 packs of balloons cost £9 altogether. a balloon pump and 4 packs of balloons cost £11 altogether. how much dose a balloon pump anf 8 packs of balloons cost?

Answers

Answer 1

let the balloon pump be m and one pack of balloons be n.
we will use the given data to calculate the the price of balloon pump (m) as well as the price of one pack of balloons (n). Then, we will use these prices to calculate the requirement.

First, we know that 1 balloon pump (m) added to 3 packs of balloons (3n) costs 9£
this means that: m + 3n = 9
therefore: m = 9 - 3n .................> equation 1

Then, we know that one pump (m) and 4 packs (4n) cost 11£.
this means that: m + 4n = 11 ..........> equation 2

Substitute with equation 1 in 2:
9 - 3n + 4n = 11
n = 11 - 9
n = 2£
Substitute with the value of n in equation 1:
m = 9 - 3n = 9 - 3(2) = 9 - 6 = 3£

we know to know the price of one pump and eight packs:
price = m + 8n = 3 + 8(2) = 3 + 16 = 19£

Related Questions

6. Identify an equation that models the situation and find its solution.
It’s going to be Lindsay’s birthday soon, and her friends Mary, Jacqui, Tadeusz, Opal, and
Tony have contributed equal amounts of money to buy her a present. They have $45.00 to
spend between them. Determine how much each contributed.
(1 point)
5y = 45.00; y = $9.00
5y = 45.00; y = $10.00
5 + y = 45.00; y = $39.00
5 + y = 45.00; y = $40.00

Answers

5y = 45.00; y = $9.00

Can someone plz help me with this math problem.

Answers

She can make 30 bows

You need to change 2/5 into a decimal which is 0.4. So then take that and you want to know how many bows can you make with 8 yards of ribbon, so divide 8 by 0.4, to get you answer which is 20 bows! I hope this helps!

The basketball coach made up a game where each player takes 10 shots at the basket. For every basket made, the player gains 10 points. For every basket missed, the player loses 15 points. The player with the highest score sank 7 baskets and missed 3. What was the highest score?

Answers

# of baskets made: 7

# of baskets missed: 3

every basket made: 10pt

every basket missed: -15pt

7(10)+(-15)(3)
70+(-45)
70-45
25

A teacher is making identical activity packets using 92 crayons and 23 sheets of paper. What is the greatest number of the packets the teacher can make with no left over items?

Answers

92/23 = 4

so she can make 23 packets, 1 sheet of paper and 4 crayons

The length of a rectangle is 6 cm more than its width. The area of the rectangle is 256 cm,superscript,2,baseline,. Let x represent the width of the rectangle in centimeters. Which equation represents the situation? Answer Options with 4 options A
. 6x,superscript,2,baseline, − 256 = 0 B
. 6x,superscript,2,baseline, + 256 = 0 C.
x ,superscript,2,baseline, − 6x + 256 = 0 D.
x ,superscript,2,baseline, + 6x − 256 = 0

Answers

Answer:

The equation which represents the situation is:

[tex]x^2+6x-256=0[/tex]

Step-by-step explanation:

Let x represent the width of the rectangle in centimeters.

The length of a rectangle is 6 cm more than its width.

This means that the length of the rectangle is: x+6 cm.

Also, we know that the area of a rectangle is the product of the length and width of the rectangle.

Here, the area of the rectangle is 256 cm².

i.e.

[tex]x(x+6)=256\\\\x^2+6x=256\\\\i.e.\\\\x^2+6x-256=0[/tex]

Which three points in the figure are collinear?

a) F, E, G
b) A, B, D
c) E, C, A
d) A, B, C

Answers

Answer: Choice A) points F, E, and G are collinear

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To be collinear, it means that the points all fall on the same straight line. In this case, that applies to points F, E and G. This line is not fully contained in the plane and only touches at point E. In contrast, a group of points like A,B,C aren't collinear since they don't fall on the same line. A triangle shown indicates a line isn't possible.

In the figure, the points F, E, and G are collinear. Collinear points are points that lie on the same straight line. The correct option is A).

Point F is clearly on the same straight line as points E and G because it falls directly in line with them, creating a continuous sequence.

It can visualize this by a line passing through points F, E, and G. This line would pass through all three points without any interruption.

No other points in the figure form such a straight-line arrangement with F and G, further confirming that F, E, and G are the collinear points.

In summary, points F, E, and G are collinear because they lie on the same straight line, and no other points in the figure share this property with them.

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Write in slope-intercept form an equation of the line that passes through the given points.

(−1, −1), (1, 5)

Answer: y= ??????

Answers

Find m or the slope of the two coordinates first.

M = y2-y1 / x2-x1

= 5 - (-1) / 1 - (-1)

= 6 / 2

= 3

Now that you have the slope, we can use the equation of a line which is :

y - y1 = m(x - x1)

Substitute any coordinate.

I'll go with (1, 5)

y - 5 = 3(x - 1)

y - 5 = 3x - 3

y = 3x + 2

And that's the equation in the slope intercept form or y=mx+b.

e=mc squared
solve for c

Answers

E = mc

Start by dividing both sides by m

E/m = c/m^2

E/m = c^2

c = square root of em /m
OR
c = - square root of em /m

Answer:

c = + √ E

__ __

Step-by-step explanation:

E=mc^2 for c

_ = c^2

Somebody help me with this

Answers

its >. since the 14 is on top, you are dividing 14 by seven which would be 2.

2 > 2/4.

Th answer is:
14/7 > 2/4

Lisa is covering a rectangular table with small square tiles. It will take 32 rows of tile with 48 tiles in each row. How many tiles are needed to cover the table?

Answers

multiply:

32*48 = 1536 tiles

To figure this out you just multiply 32 by 48, which is 1,536.

a number is divisible by 4 if the last two digits are divisible by 4

Answers

what are you trying to say here i mean yes it could be true if you divide it by 2 or 1.

Use the vocabulary term "absolute value" to explain the term opposite as it pertains to positive and negative numbers. Explain why zero is the opposite of itself

Answers

It’s Is In A Very Positive Way

Answer:

zero is the opposite of itself because there is no negative zero to be its opposite so it is itselfs opposite.

The expression s2 is the area of a square, where s is the side length of the square. What does the expression (6x)2 represent?
A) the area of a square with a side length of 6
B) the area of a square with a side length of 12
C) the area of a square with a side length of 3x
D) the area of a square with a side length of 6x

Answers

d) the area with side length 6x

Answer:

The correct option is D.

Step-by-step explanation:

The area of a square with side s is defined as

[tex]A=s\times s[/tex]

[tex]A=s^2[/tex] .... (1)

The given expression is

[tex]A=(6x)^2[/tex] .... (2)

From (1) and (2), we get

[tex]s=6x[/tex]

It means the expression [tex](6x)^2[/tex] represents the area of a square with a side length of 6x .

Therefore the correct option is D.

in the equation 10n=120, is n 10?

Answers

No, n is 12.

To solve it, divide both sides by 10,
120/10 = 12

Hope this helps!

No, n would be 12 because 120/10 equals 12

Which set does not contain –3? the set of all real numbers the set of all integers the set of all whole numbers the set of all rational numbers

Answers

the set of whole number since it is defined as positive integers + zero

The set of whole number since it is defined as positive integers + zero.

We have given that,

The set of all real numbers the set of all integers the set of all whole numbers the set of all rational numbers.

We have to determine the Which set does not contain –3

What is the set of all whole numbers?

Integers are the set of whole numbers and negative of natural numbers. Hence, integers include both positive and negative numbers including 0. Real numbers are the set of all these types of numbers natural numbers, whole numbers, integers and fractions.

Therefore we get,

The set of whole number since it is defined as positive integers + zero.

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Jeff is saving to purchase a new basketball that will cost at least $88. He has already saved $32. At least 7) Jeff is saving to purchase a new basketball that will cost at least how much more does he need to save for the basketball?

Answers

the answer is 224
becs 32*7=224

The cost of the ball is $0.05. This is determined through a simple algebraic calculation that takes into account that the bat costs $1.00 more than the ball and the total cost is $1.10.

The student's question is about solving a simple algebraic problem involving the cost of two items with a given difference in their prices. In the problem statement, a bat and ball cost a combined total of $1.10. The bat costs $1.00 more than the ball.

Let's denote the cost of the ball as x dollars.Consequently, the cost of the bat will be x + $1.00, since it costs one dollar more than the ball.According to the information provided, the combined cost of the ball and bat is $1.10. Therefore, we can write the following equation: x + (x + $1.00) = $1.10.Simplifying this equation: 2x + $1.00 = $1.10.Subtracting $1.00 from both sides of the equation, we get 2x = $0.10.Dividing both sides of the equation by 2, we find that x = $0.05.

Therefore, the cost of the ball is $0.05.

What's a rational number between 8 and 8.1

Answers

A rational number is any number that can be written in a/b form (like a fraction). So it just can't be a repeating decimal like how pie goes on forever. So let's see. 8.05 could work. Since you could write that as 8.05 over 1 (8.05/1)

The rational number between 8 and 8.1 is 8.05 / 1 or 16.1 / 2.

What is Number system?

A system of writing to express the number is called number system.

Given that;

The numbers are,

⇒ 8 and 8.1

Now,

Find the rational number between 8 and 8.1 as;

The rational number = (8 + 8.1) / 2

= 16.1 / 2

= 8.05 / 1

Thus, The rational number between 8 and 8.1 is 8.05 / 1 or 16.1 / 2.

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you are given the measure of angle 4. You also know the following angles are supplementary: Angles 1 and 2, angles 2 and 3, angles 1 and 4. Explain how you can determine the measures of angles 1, 2, and 3.

Answers

If you are given the measure of angle 4, then we know angle 2 is equal since it is a vertical angle. The angle of a line is 180 degrees, so subtract the measure of angle 4 (and/or 2) which will give you the angle measure for both angle 1 and 3, since those are also equal due to vertical angles. Hope that helped! :)

Final answer:

To find the measures of angles 1, 2, and 3, use the fact that angle 1 is supplementary to both angles 2 and 4, and angles 2 and 3 are supplementary. Set up equations and solve them simultaneously to find the measures of the angles.

Explanation:

To determine the measures of angles 1, 2, and 3, we can use the information that angle 1 is supplementary to both angles 2 and 4, and angles 2 and 3 are supplementary. Since angles that are supplementary add up to 180 degrees, we can set up equations to solve for the measures of angles 1, 2, and 3.

Let's represent the measure of angle 4 as x. Then we can write the equations:

Angle 1 + Angle 4 = 180 degreesAngle 2 + Angle 3 = 180 degreesAngle 1 + Angle 2 = 180 degrees

Substituting x for the measure of angle 4, we can solve these equations simultaneously to find the measures of angles 1, 2, and 3.

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Which expression represents the calculation “subtract 10 from 36, then divided by 6”?
A) 6 ч (36 − 10)
B) (36 − 10) ч 6
C) (36 ч 6) − 10
D) (10 − 36) ч 6

Answers

b is the answer bc you need to subtract before divide, so you need the parenthesis around 36-10

(36 - 10) / 6 <== ur expression

How to find the scale factor of a rectangle?

Answers

To find the scale factor, we divide one side by another that we know is correlated to that side (for example, if the sides are parallel). Since we can see that SR lines up with S'R' and RQ lines up with R'Q' (since it's in the same pyramid, they're parallel), they are similar. Finding the ratio, we get 6/15 or 4/10 or 2/5. That means that S'P' * 2/5=SP etc..

How do I solve for x?

Answers

x + 96 = 90
x = 90 - 96
x = -6

According to the same-side interior angle postulate, these two angles add up to 180. So:

x+96+x+96 = 180
2x + 192 = 180
2x = -12
x = -6

Do not be alarmed that x is negative. Just because x is negative does not mean that the angle is negative!

Hope this helps!

LCM of 15, 30, and 45

Answers

The LCM of 15, 30, and 45 is 90

What the answer to this

Answers

Divide both the numerator and denominator by the gcf, which is 3.

3/3=1
6/3=2

Final answer: 1/2

If you're looking for the "[tex]decimal[/tex]" then your result will be [tex]0.5[/tex]
because we had to divide the [tex]numerator [/tex] from the [tex]denominator [/tex]

But, if you're trying to find what is "[tex]equivalent[/tex]" then your answer would be [tex] \frac{1}{2} [/tex] because, we had to divide the number [tex]3 [/tex] since it goes into both numbers (if that makes since to you)

[tex]Anyhow! [/tex]

Good luck on your assignment and enjoy your day!

~[tex]MeIsKaitlyn:)[/tex]

What is 8.61×10−8 in decimal form?

0.000000861
0.0000000861
8,610,000
861,000,000

Answers

Is 10 to -8 power? Or not

Bridget works part time in a shoe store. Sometimes when it is not busy, she rearranges the shoes for fun. If she takes six different pairs of shoes and rearranges them in a row, in how many ways can she rearrange them so that no two shoes match?

Answers

hi i have an idea make a pattern to organize the shoes

A package of blank CDs usually costs $8.50. This week it's on sale for 15% off. What's the discount?

Answers

8.50×0.15= 1.275
1.28 is the amount you get off
8.50 is the original price
7.22 is amount paid

8.50 x .15 = 1.275 (discounted amount)

Subtract the discounted amount ($1.28 from $8.50)

8.50 - 1.28 = 7.22

Four pieces of wood each 11 1/2 inches long are required to build a cabinet. If all four pieces are cut from one board and 1 inch is allowed for waste in cutting each piece, how long should the board be?
--
I need help ASAP. And, when done solving, how did you get your answer and what was your thought process (not steps). Thank you!!

Answers

Since 1*4=4 inches of waste possible, we need 11.5*4=57 inches of wood (we multiply by 4 since 4 pieces), and given the waste we can have up to 61

An average person in the United States throws away 4.5 × 10² g of trash per day. In 2013, there were about 3.2×10^6 people in the U.S.

About how many grams of trash was thrown away in the United States in 2013?

Enter your answer in the box.
5.3 × 10^ g

Answers

Hey! To do this, we need to multiply 4.5 x 10² by 3.2x10^6 by 365 (days in the year) to get our answer.

Answer: 525,600,000,000

757 divided by 68 with remainder

Answers

757 / 6 = 11 and remainder = 9

hope it helps

When dividing 757 by 68, the result is a quotient of 11 with a remainder of 9.

When dividing 757 by 68, the quotient is the largest whole number that can be obtained by dividing 757 by 68, and the remainder is the number left over after performing the division.

68 ) 757 (11

- 68

______

- 68

______

The quotient remains 11, and we subtract 68 (68 multiplied by the quotient) from 777 to get 9. At this point, we have no more digits to bring down.

The quotient is 11, and the remainder is 9.

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325 people were in a tour group. Six buses were completey filled and 7 people chose to walk.How many people did the bus hold?

Answers

325-7= 318
318/6=53 people per bus

325-7= 318

318/6= 53

Each bus hold 53 people.

Hope this helps!

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