Drew is experimenting on a circuit. He wants to know if the size of the wire used affects battery life. Identify the variables in drew's experiment
independent variable
dependent variable
controlled variables
PLEASE HELP ASAP THANK YOUU SO MUCH

Answers

Answer 1

The size of the wire is the dependent variable and the battery life is the independent variable.

What are dependent and independent variables?

In any equation, the variables that represent the input and output are referred to as independent and dependent variables, respectively.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Drew is experimenting on a circuit. He wants to know if the size of the wire used affects battery life.

Here, the battery life is the independent variable, while the size of the wire is the dependent variable.

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Related Questions

Please help me with this

Answers

The table that represents a linear relationship is the one in option 3.

Which table represents a linear relationship?

A linear relationship can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we add 1 to the input we get:

y = a*(x + 1) + b

y = (a*x + b) + a

So for each increase of 1 unit on the input we have a constant increase on the value of y.

The table that represents a line is the number 3, where you can see that the increases in the f(x) values are constants.

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A back-to-school sale offered a laptop for $379. This sale price reflected a 15% discount.
Use the equation to find the cost of the computer before the reduction in price.
(Round to the nearest cent as needed.)

Answers

If a back-to-school sale offered a laptop for $379 and this sale price reflected a 15% discount, after using the equation the cost of the computer before the reduction in price is, $446.47.

What is percentage?

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Let's call the original cost of the laptop "x".

The equation to find the cost after a discount is:

x - x * (discount rate) = sale price

In this case, the discount rate is 15%, or 0.15. Plugging in the given values:

x - x * 0.15 = 379

Expanding the equation:

x - 0.15x = 379

0.85x = 379

Dividing both sides by 0.85:

x = 379 / 0.85

x = 446.47

So, the cost of the laptop before the reduction in price was $446.47.

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a box contains 6 blue blocks, 13 yellow blocks, 15 blue spheres, and 17 yellow spheres. what is the probability you draw a sphere given it is blue?

Answers

The probability that you draw a sphere given that it is blue is given as follows:

5/7.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The total outcomes in this problem are the blue shapes, hence the number is given as follows:

6 + 15 = 21 shapes.

The desired outcomes are the blue spheres, hence the number is given as follows:

15.

Hence the probability that you draw a sphere given that it is blue is given as follows:

p = 15/21

p = 5/7. (simplify numerator and denominator by 3).

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what is thhe sales tax on $58 at a rate of 5.5%

Answers

Answer:

3.19

Step-by-step explanation:

5.5% of 58 is 3.19

and is you need it,

58 - 3.19 = 54.81

I believe this is right

the sales tax on $58 at a rate of 5.5% is $3.19

How to find the tax on $58 at a rate of 5.5%?

Taxes are a mandatory contribution to the state. So sales must pay taxes, and it is stated that the rate of tax that must be paid is 5.5%

The way to calculate tax from sales is to multiply the tax rate by the income from sales.

the income = $58

the rate of tax = 5.5%

the tax to be paid by sales = the income x the tax

                                             = $58 x 5.5%

                                             = $3.19

so the answer to the question is $3.19

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please help
thank you!!

Answers

Step-by-step explanation:

Hi joolin

Hyvwzzaetu =g m eet co de

Co me get free answers

Or give me the in sta id

Write 13/12 as a mised number

Answers

Answer:

[tex]\frac{13}{12}=1\frac{1}{12}[/tex]

Step-by-step explanation:

You have 12/12 + 1/12 so it would end up being 13/12 so you can simplify the 12/12 to 1 and have [tex]1\frac{1}{12}[/tex]

The bearing of a fishing boat from a lighthouse is 118°.

Work out the bearing of the lighthouse from the fishing boat.

Answers

The bearing of the lighthouse from the fishing boat is 242

Hwo to determine the bearing

From the question, we have the following parameters that can be used in our computation:

The bearing of a fishing boat from a lighthouse is 118°.

The bearing of the lighthouse from the fishing boat is calculated as

The bearing of the lighthouse from the fishing boat = 360 - The bearing of a fishing boat from a lighthouse

Substitute the known values in the above equation, so, we have the following representation

The bearing of the lighthouse from the fishing boat = 360 - 118

Evaluate

The bearing of the lighthouse from the fishing boat = 242

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ATTACHMENTTTTTTTTTTTTTTTTTTTT

Answers

a. The total of the two sides of the right triangle using Algebraic expression is 3x²+7x-4.

b. The length of the missing side of the triangle is 3x³-4x²-15x+5.

c. If the value of x=2, then the length of the three sides of the triangle is

   a=11, b=11 and c= -17.

d. No, it is not possible to have these side lengths for a right triangle.

Define Algebra

Algebra is a discipline of mathematics that studies symbols and the mathematical operations that can be applied to them. These symbols are referred to as variables because they don't have predetermined values. These values are usually represented in algebra by variables, which are symbols like x, y, z, p, or q. These symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations in order to ascertain the values.

a. Let the sides of the right triangle be a, b and c.

Given, one side of the triangle is 2x² + 2x - 1 and

another side is 5x + x² -3.

So, let a = 2x²+2x-1 and b = 5x+x²-3

Now, the total of the two sides= a+b

          a+b

         =2x²+2x-1 + 5x+x²-3

         = 3x²+7x-4

Therefore, the total of the two sides of the right triangle = 3x²+7x-4.

b. Now the perimeter of the triangle is given= 3x³-x²-8x+1.

Given, a+b+c=3x³-x²-8x+1.

We already have a+b, so by simplifying the equation a+b+c=3x³-x²-8x+1

we can find the length of the third side, c.

a+b+c= 3x³-x²-8x+1

⇒3x²+7x-4 +c= 3x³-x²-8x+1

⇒c= 3x³-x²-3x²-8x-7x+1+4

⇒c= 3x³-4x²-15x+5.

Therefore, length of the missing side is 3x³-4x²-15x+5.

c. We have the three sides of the triangle with us which are:

a = 2x²+2x-1

b = 5x+x²-3

c = 3x³-4x²-15x+5

Now putting the value of x as 2 in the equations as follows:

a= 2(2²) +2(2)-1

 = 8+4-1

 =11

b=5(2) +2²-3

 = 10+4-3

 =11

c=3(2³)- 4(2²) -15(2) +5

 =24-16-30+5

 = -17

Therefore, the length of the three sides of the right triangle

are 11, 11 and -17.

d. The sides of the right triangle are.

a = 11

b = 11

c = -17

We know as per the Pythagorean theorem c² = a² + b².

Accordingly, c²= 289 & a² = 121 and b²= 121, a² + b²= 242

which shows that c² is not equal to a² + b².

As, the sides of the triangle does not follow the Pythagorean theorem, so these are not the sides of a right-angle triangle.

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help i will give alot of points

Answers

Answer:east

Step-by-step explanation:

north: LOW:-8F    HIGH:10F  this have the most change

+18F

south: LOW:-3F     HIGH:2F    this have the third most change

+5F

east: LOW:-2F    HIGH:0F    this have the least change

+2F

west: LOW:-4F    HIGH:3F    this have the second most change

+7F

the east only have +2F so it have the least change

the points of this 3-by-3 grid are equally spaced horizontally and vertically. how many different sets of three points of this grid can be the three vertices of an isosceles triangle?

Answers

The number of different sets of three points of this grid can be the three vertices of an isosceles triangle is 36.

An isosceles triangle is one with two equal sides. The two angles that face the two equal sides are also equal. An isosceles triangle, in other words, is a triangle whose two sides are equal in length.

By using the Permutation formula,

Number of isosceles triangle to be formed is,

9!/(7!x2!) = 9x8x7!/7!x2!

= 9x8/2

= 36

So number of isosceles triangle that can be formed of this 3-by-3 grid is 36.

When a square is described as a 3 x 3 Magic square, it has three rows and three columns. An illustration of a 3 by 3 magic square with the magic constant.

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Hi,what is 9/10 divided by 3/5

Answers

The value of 9/10  divided by 3/5 is 3/2.

How to multiply two fractions?

When multiplying fractions, you first start with the two fractions you want to multiply. You multiply the numerators (the top numbers) together, and then multiply the denominators (the bottom numbers) together. After putting the two results together as a new fraction, you may need to simplify the fraction in order to express it in its lowest terms.

Firstly , let's find the reciprocal of the divisor

Reciprocal of

3/5 is 5/3

Now, multiply it with the dividend

So,

9/10 ÷ 3/5

= 9/10 × 5/3

=  45/30

After reducing the fraction, the answer is

3/2

Hence , the value of 9/10  divided by 3/5 is 3/2.

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Emily buys 6 cans of beans for $1.50 each. She also buys a pineapple, The total cost of the item is $12.30. HURRY PLS :) THANK YOU BTW! :)

Answers

Answer:

$3.30

Step-by-step explanation:

6 x 1.50 = 9

12.30 - 9 = $3.30

Whotube, the who’s who of online video sites, has offered to pay for a free trip to its headquarters for anyone who has posted an original viral video. To qualify as viral, a video must be viewed by at least one million people within two hours of being posted, not including the initial post.

Taylor, a self-proclaimed mathemagician, posts a video of a dancing log (one with rhythm) to Whotube at 10 p.m. Three arborists, devoted to their profession, immediately watch the video. Enamored with such a cutting edge clip, they each share it with three other tree trimming friends every five minutes, each of whom views and shares the video with three more friends every five minutes, and so on. They continue sharing the video this way until 10:20, at which point they all get distracted by a video of a campfire and immediately stop viewing and sharing.

Over the next four minutes, thirty fellow mathemagicians discover and view the video. This incredible phenomenon continues at a constant rate of thirty views by mathemagicians every four minutes until 11:32 p.m. at which point almost all of the mathemagicians in the world have viewed the video.

Then, the real magic happens when Kimmy Schmallon mentions it on the Late Night Show. Once it is mentioned on the Late Night Show at 11:32 p.m., the current number of views doubles every three minutes. This continues until the end of the show at 1 a.m.

Will Taylor get invited to Whotube headquarters? Use multiple representations to justify your conclusion.

Answers

Answer:

yes

Step-by-step explanation:

Taylor will get an offer for a free trip as within two hours (10 - 12) even before the end of the midnight show, he got the required views.

from 10: to 10:20

1 : 3

3: 3 in every five minutes i.e. 10:25, 10:30, 10:35 n so on

1: 30 in every four minutes

till 11:32

from 11:32 till 12:00

the views recorded till now doubles every three minutes!!

To the nearest tenth, what is the length of the hypotenuse of an isosceles right triangle with a leg of 7 8 inches?

Answers

The length of the hypotenuse of the isosceles right triangle is 2.8 inches.

What is isosceles right triangle?

An isosceles right triangle is a right triangle with two equal sides. In this case, the two equal sides are each 7 8 inches long.

To find the length of the hypotenuse, we can use the Pythagorean theorem:

a^2 + b^2 = c^2, where c is the length of the hypotenuse

In this case, a = b = 7/8 inches, so:

(7/8)^2 + (7/8)^2 = c^2

(49/64) + (49/64) = c^2

98/64 = c^2

c = sqrt(98/64) inches

To the nearest tenth, c = 2.8 inches, so the length of the hypotenuse of the isosceles right triangle is 2.8 inches.

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Calculate P(3, 2) Help
12
8
7
6

Answers

6

Hope This Helps!

P2 = 90; 10P2 = 90. Combinations. There are also two types of combinations

Answer:

P(3, 2) = 6

Step-by-step explanation:

A permutation is an ordered combination, i.e. an arrangement in a definite order of a number of objects taken some or all at a time.

Permutation formula

[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]

where:

n is the number of objects to choose from.r is the chosen number of objects.0 ≤ r ≤ n

Given P(3, 2):

n = 3r = 2

So we need to calculate the permutations of two numbers taken from three numbers.

The numbers are 1, 2 and 3.  As order matters, the number of ways two numbers from this set can be arranged is:

1 and 21 and 32 and 12 and 33 and 13 and 2

Therefore, there are 6 ways two numbers from the set of three numbers can be arranged.

To prove this, substitute n = 3 and r = 2 into the permutation formula:

[tex]\begin{aligned}\implies P(3,2)&=\dfrac{3!}{(3-2)!}\\\\&=\dfrac{3!}{1!}\\\\&=\dfrac{3 \times 2 \times 1}{1}\\\\&=\dfrac{6}{1}\\\\&=6 \end{aligned}[/tex]

Therefore, P(3, 2) = 6.

Sofie makes and sells scarves. Her profit depends on what price she charges for a scarf. She writes the expression (x−5)(50−2x) to represent her profit based on the price per scarf, x . Enter Sofie's average change in profit for two different sections of the graph.

Answers

Sofie will not make a profit if she sells her scarves for $5 or less.

The maximum profit Sofie can make is $200.

What is a Parabola?

A parabola is a plane curve created when a point moves in such a way that the distance it travels from a fixed point to a fixed line.

According to the given problem,

y = (x - 5)(50 - 2x)

⇒ y + (-(x - 5)(50 - 2x) = (x - 5)(50 - 2x) + (-(x - 5)(50 - 2x)

⇒ y - (x - 5)(50 - 2x) = (x - 5)(50 - 2x) - (x - 5)(50 - 2x)

y - (x - 5)(-2x + 50) = 0

⇒ y - (-x *2x + x*50 + 5*2x -5*50) = 0

⇒ y - ( -2x² + 50x + 10x - 250) = 0

⇒ y - ( - 2x² + 60x - 250 ) = 0

⇒ y + 2x² - 60x + 250 = 0

2x² -60x + y + 250 = 0

⇒ ( 2x² - 60x ) + y + 250 = 0

⇒ 2 ( x² - x) + y + 250 = 0

⇒ 2 ( x² - x) + y + 250 = 0

⇒ 2 ( x² - 30x ) + y + 250 = 0

2( x² + 2(-15)x + 225 -225 +y + 250 = 0

⇒ 2( x - 15 )² + 2(-225) + y + 250 = 0

⇒ 2( x - 15 )² + y = -2(-225) - 250

⇒ 2( x - 15 )² + y = 450 - 250

⇒ 2( x - 15 )² + y = 200

y = -2( x - 15 )² + 200

This equation is in the form of y =  a(x - h)² + k where the vertex of the parabola is (h , k).

Therefore the vertex of the parabola is at (15 , 200)

Hence, we can conclude that Sofie will maximum profit of $200 if she sells a scarf at 15$ and will make the least profit if she sells the scarf at $5 or less.

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The marketing club school is openings student store. They randomly survey 50 students who how much money they spend

onunch each day. What is the expected value for a student to spend on lunch each day?

Student Lunch Survey

Number of Dollars spent on

Students

Lunch Eschwy

510

SSS

05. 18

5. 07

See

signou

us

247

Answers

The Expected value is the long-term average position of any variable. The anticipated value will be$5.18

The predicted value is the long-run average of all variables. It also shows the loaded normal probabilities for all possible values. Investors use expected value to estimate an investment's return, often in relation to its risk.

Given the data in detail

Pupil Lunch check Bones spent Probability

2$10 20/50.

1$8 8/50.

12$6 72/50.

23$5 115/50.

8$4 32/50.

4$3 12/50

The sum will be

aggregate = 20+ 8 +72 +115 +32 +12

                           50

= 259/50

= $5.18

The anticipated value a pupil would spend on lunch each day will be $5.18

Question

From the following data, calculate the expected  value a pupil can spend on lunch each day?

Students & Amount spent

2$ 10

1$ 8

12$ 6

23$ 5

8$ 4

4$ 3

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it is known that a certain drug causes side effects in 12 12 % of patients. if we consider a random sampling of 12 12 patients, what is the probability less than two have the side effect?

Answers

By applying binomial distribution formula, it can be concluded that the probability less than two have a side effect is 56.86%.

Binomial distribution is the discrete probability distribution of the number of successes or failures in n independent trials, where each trial result has a probability p.

P(x) = C(n,x) · pˣ · qⁿ⁻ˣ where:

C = number of combinations

p = probability of success

q = probability of failure

x = number of times for a specific outcome within n trials

n = number of trials

We have the following information:

p = 12% = 0.12, thus:

q = 1 - p

  = 1 - 0.12

  = 0.88

n = 12

We want to find the probability less than two have the side effect, P(x<2):

P(x<2) = P(0) + P(1)

          = (C(12,0) · 0.12⁰ · 0.88¹²)  +   (C(12,1) · 0.12¹ · 0.88¹¹)

          = (1 · 1 · 0.2157)   +   (12 · 0.12 · 0.2451)

          = 0.2157 + 0.3529

          = 0.5686 ≈ 56.86%

Thus, the probability less than two have the side effect is 56.86%.

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Practice 9. Expressing the future in time clauses. (Chart d-3)
Complete the sentences with the correct form of the verb.
1. Grandma and Grandpa are planning to travel often when they (retire)
2. I'll wake up tomorrow morning when the alarm clock (ring)
3. The students will relax after they (finish)
4. You'll feel a lot better after you (take)
this medicine.
5. The residents of the coastal areas will prepare for the hurricane before it
(arrive)
6. Mark will work in a law firm as soon as he (graduate)
school.
7. We'll have dinner as soon as the rice (be)
8. I'll tell you as soon I (hear)
9. Before we (leave)
10. We'll start our newspaper delivery again after we (get)
their final exams.
ready.
from law
any news.
on vacation, we'll stop our newspaper delivery.
back from vacation.

Answers

The chance at least one of the alarms will wake her up is 0.96.

What is the probability of both independent events?

If the probability of one event does not affect the probability of another event, the events are independent.

Given

Probability that Alarm clock 1 is reliable = 60% = 0.60

Probability that Alarm clock 2 is reliable = 90% = 0.90

P of alarm clock 1 not reliable = 0.40

P of alarm clock 2 not reliable = 0.10

Therefore,

The chance at least one of the alarms will wake her up is;

=p1.p2' + p1'. p2 + p1.p2

so, calculating we get,

= 0.96

Hence, the chance at least one of the alarms will wake her up is 0.96.

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33. Solve the equation and check your solution: -2(x - 1) = 2 - 2x

Answers

Answer:

this equation is always true

Step-by-step explanation:

Solve the equation and check your solution: -2(x - 1) = 2 - 2x

-2(x - 1) = 2 - 2x

-2x + 2 = 2 - 2x

-2x + 2x = 2 - 2

0 = 0

(this equation is always true)

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

check

whatever value you give to x the equation is always true, let's take 2 as an example

-2(2-1) = 2 - 2 * 2

-4 + 2 = 2 - 4

-2 = -2

today the temperature is 75 degrees. yesterday was 65 degrees. what is the percentage of increase from yesterday to today?

Answers

The high temperature increased by 15.38% from yesterday to today.

First, you must find the actual increase in temperature. by using this formula:

Percentage increase = (Today's temperature - Yesterday's temperature) / Yesterday's temperature * 100

Percentage increase = (75 - 65) / 65 * 100 = 15.38%

Temperature is a physical quantity that indicates hot and cold. It is the manifestation of thermal energy, present in all matter, which is the inception of the occurrence of heat, a flow of energy when a body is in contact with another that is colder or hotter.

Temperature is measured with a thermometer.

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Des can choose between two jobs: Job A pays £3.80 per hour for 40 hours per week, Job B pays £4.50 per hour for 32 hours per week. For which job will Des earn the most money per week?

Answers

The solution is, For job- A will Des earn the most money per week.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Job A pays £3.80 per hour for 40 hours per week,

Job B pays £4.50 per hour for 32 hours per week.

for, job A - he earns =  £3.80 * 40

                                 = £ 152 pe week

and, for job B - he earns = £4.50 * 32

                                        =£ 144 per week.

Hence, The solution is, For job- A will Des earn the most money per week.

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in ∆XYZ, the measures of angles X, Y, and Z, respectively, are in the ratio 1:10:25. Find the measure of each angle.

m m m

Answers

The measures of the angles X, Y, and Z are 5, 50, and 125 degrees.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that in ∆XYZ, the measures of angles X, Y, and Z, respectively, are in the ratio 1:10:25.

We have to find the measure of each angle.

Let the measures can be expressed as 1x, 10x, and 25x, respectively, where x is an arbitrary value.

We know that the sum of the angles of a triangle is always 180 degrees, so:

1x + 10x + 25x = 180

36x = 180

Divide both sides by 36

x = 5

Therefore, the measures of the angles X, Y, and Z are 5, 50, and 125 degrees.

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A triangle has side lengths 4 inches 5 inches and 7 inches Is the triangle a right triangle?

Answers

Answer:

Step-by-step explanation:

To determine if the triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Let's label the sides of the triangle as follows:

a = 4 inches

b = 5 inches

c = 7 inches

Using the Pythagorean theorem, we can calculate:

c^2 = a^2 + b^2

7^2 = 4^2 + 5^2

49 = 16 + 25

49 = 41

Since 49 does not equal 41, this means that the triangle is not a right triangle.

Therefore, the answer is no, the triangle is not a right triangle.

Beatriz Cruz purchased a home for $98,500. She made a $28,500
down payment and mortgaged the rest. Her annual expenses
for mortgage interest, taxes, repairs, insurance, and depreciation
totaled $6,890. She rented the house for $750 a month.
a. What is the annual net income?
b. What is the annual yield?
e. What monthly rent would she have to charge to get
a yield of 90%?

Answers

Answer:

a. To find the annual net income, subtract the annual expenses from the annual rental income.

The annual rental income = $750 * 12 months = $9,000

So, the annual net income = $9,000 - $6,890 = $2,110

b. To find the annual yield, divide the annual net income by the investment cost (the down payment) and multiply by 100 to get the answer as a percentage.

The annual yield = ($2,110 / $28,500) * 100 = 7.41%

c. To find the monthly rent required to get a yield of 90%, divide the investment cost by the desired yield and divide by 12 to get the monthly rent.

The investment cost = $28,500

The desired yield = 0.90

So, the monthly rent = ($28,500 / 0.90) / 12 = $2,306.25

Step-by-step explanation:

what is the volume of the triangle ?

Answers

Answer: 720

Step-by-step explanation:

Volume = l x w x h, so 9 x 10 = 90, 90 x 8 = 720.

Hope this helps.

# 25 i
You buy 6 balloons and 3 banners for $15. Your friend buys 4 balloons and 1 banner for $9. What is the cost of each balloon? of each
banner?
Each balloon costs $
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and each banner costs $

Answers

The cost of each balloon and each banner is $2 and $1 respectively.

What is the cost of each balloon and banner?

Let

cost of balloon= x

cost of banner= y

6x + 3y = 15

4x + y = 9

Multiply equation (2) by 3

12x + 3y = 27

6x + 3y = 15

12x + 3y = 27

Subtract the equations to eliminate y

12x - 6x = 27 - 15

6x = 12

divide both sides by 6

x = 12/6

x = $2

Substitute into

4x + y = 9

4(2) + y = 9

8 + y = 9

y = 9 - 8

y = $1

Therefore, each balloon cost $2 and each banner cost $1

Read more on simultaneous equation:

https://brainly.com/question/16863577

#SPJ1

1.(2x+y) (4x-9)
2.(3x+5y2
3.(x-2) (x2-x+3)

Answers

Answer:

x³ - 3x² + 5x - 6

Step-by-step explanation:

Multiplication of algebraic expression:

      1) (2x + y)(4x - 9) = 2x*(4x - 9) + y(4x - 9)

                                 = 2x*4x - 2x*9 + y*4x - y *9

                                = 8x² - 18x + 4xy - 9y

2) (3x + 5y)²

Identity : (a + b)² = a² + 2ab + b²

a = 3x and b = 5y

(3x +5y)² = (3x)² + 2 * 3x *5y + (5y)²

               = 9x² + 30xy + 25y²

3) (x -2)(x² - x + 3) = x*(x² - x + 3) - 2(x² - x + 3)

                             =x*x² - x*x + x*3 -2*x² + 2*x - 2*3

                            = x³ - x² + 3x - 2x² + 2x - 6

                            =x³ - x² - 2x² + 3x + 2x - 6

Combine like terms. Like terms have same variable with same exponent.

                           = x³ - 3x² + 5x - 6

5. Sam has $9.10, but all of it is nickels. If one nickel is worth $0.05, how many nickels does Sam
have? If all of the $9.10 were pennies, how many pennies would Same have?

Answers

$9.10 in all nickels is how many nickels

9.10 / 0.05

how many 5 cent pieces add up to that

182 nickels

a penny is one cent

just move the decimal place over twice

9.10

910.0

910 pennies

Hope this helps

- Jeron :- )

helpppppppp please, i would like some help so i dont have to do it later lol

Answers

Given all sides are right angles, the height of the sides are equal.

left side = 12

right side = x+5

set equation equal to each other and solve for x.

12 = x +5 =>> 12-5 = x =>> x = 7

x = 7 cm

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