Diane obtains a loan for home renovations from a bank that charges simple interest at an annual rate of 9.65%. Her loan is for $17,100 for 76 days. Assume
1
365
De not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas.
each day is
of a year Answer each part below.
(a) And the interest that will be owed after 76 days.
$
(b) Assuming Diane doesn't make any payments, find the amount owed after 76 days.
?

I need help fast

Diane Obtains A Loan For Home Renovations From A Bank That Charges Simple Interest At An Annual Rate

Answers

Answer 1

a) The simple interest that will be owed the bank by Diane after 76 days is $343.59.

b) The final amount that Diane will repay the bank after 76 days is $17,443.59.

What is the simple interest?

The simple interest is an interest system that does not compound interest.

Compounding interest means that interest is added to the principal before subsequent interests are computed.

But under the simple interest system, interest is based on the principal from one period to the next.

The loan amount = $17,100

Simple interest rate = 9.65%

Loan period = 76 days

Total interest = $17,100 x 9.65% x 76/365 = $343.59

Final amount = $17,443.59 ($17,100 + $343.59)

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Related Questions

( Which of these shapes have the same area?
A
B and C
A and C
A and B

Answers

The shapes with the same areas are (c) A and B

How to determine the shapes

The complete question is added as an attachment

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

Figures A, B and C

For the figures A, B and C to have the same area, the number of boxes on the shapes must be the same

Using the above as a guide, we have the following:

Figure A = 16 square unitsFigure B = 16 square unitsFigure C = 25 square units

By comparison, we have

A and B = 16 square units

Hence, the shapes A and B have the same area

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10.ja box contains 24 light bulbs, of which two are de- feefive. if a person selects 10 bulbs at random, without replacement, what is the probability that both defective bulbs will be selected?

Answers

Hence, the probability that both defective bulbs will be selected is 0.1630

We are given that a box containing 24 light bulbs. 2 light bulbs are defective.

Now if a person selects 10 bulbs at random, without replacement.

We are required to find the probability that both defective bulbs will be selected.

Since there are two defectives, therefore two defective can be chosen in(2,2) ways.

Also since 10 bulbs are selected, the remaining 8 bulbs can be selected in (22,8)

Also, the total number of ways 10 bulbs can be selected is:

[tex]^{22}C_8\\[/tex]

Therefore, the probability that both defective bulbs will be selected is:

[tex]=\frac{(^2c_2)(^{22}C_2)}{^{24}C_10}\\\\=1.630.[/tex]

rounded to 4 decimal places

Hence, the probability that both defective bulbs will be selected is 0.1630

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Simplify √, where a20.
Which expression is equivalent to √√a²?
O
O
O
DONE
a².aº
aª.a
a³ a
a a

Answers

The expression √a²√a² when simplified is (d) a * a

How to simplify the expression

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

√a²√a²

Express as product expression

So, we have the following representation

√a²√a² = √a² *√a²

Evaluate the exponents

This gives

√a²√a² = a * a

Hence, the expression is (d) a * a

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Complete question

Simplify √a²√a²

Which expression is equivalent to √a²√a²

a².aº

aª.a

a³ a

a a

Need some help I need to finish this last problem

Answers

Answer:

NO

Step-by-step explanation:

no she cannot. you do not need to do any math for this, none of these measurements are equal to or greater than 6 feet, and i dont think lily's gonna snap her fishing pole in half 6>4, 4=the longest thing about this box, aka the length

Answer: No, she can not store the fishing pole in the box.

No, Lily can not store the fishing pole into the box. The pole is 6 feet long, while the box is 4 feet long. Even if you tried to insert the pole into the box vertically it would not fit. Therefore, no Lily cannot fit the box.

I hope this helped & Good Luck <3 !!!

What is the area of this compound figure?

Answers

Answer:

98 km

Step-by-step explanation:

To find the area of the figure;

Total Area = Area A + Area B + Area C

Area A = 14 * 2 = 28 km2

Area B = 11 * 2 = 22 km2

Area C = 12 * 4 = 48 km2

Total Area = 98 km2

what is the rate constant at 42.4 ∘c based on the data collected for trial e?

Answers

The rate constant at 42.4 based on trial E is Value[k = 2.68 X 10^-3] and Units[M-1 s-1]

The rate constant at 42.4 0C is [acetone] initial = 0.2 M, [H+] initial = 0.01 M, so rate= k [acetone] [H+] 5.37 X 10^-6 = k X 0.2 X 0.01, k = 2.68 X 10^-3 , and the order of the reaction is two therefore the unit of the speed constant is M-1 s-1. reaction rate constants and rate laws is a fundamental concept in chemical kinetics, which is the study of the rates and mechanisms of chemical reactions. Reaction rate constants are specific to a particular reaction and are influenced by several factors, including temperature, concentration of reactants and products, the presence of a catalyst, and the activation energy of the reaction. The rate constant is related to the activation energy through the Arrhenius equation, which is given by k = A * exp(-Ea/RT), where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the absolute temperature. The rate law of a chemical reaction describes the mathematical relationship between the rate of the reaction and the concentrations of the reactants. It is determined experimentally by measuring the initial rate of the reaction under different concentrations of the reactants. The rate law is typically expressed as Rate = k[A]^m[B]^n, where k is the rate constant, A and B are the concentrations of reactants, and m and n are the orders of the reaction with respect to A and B, respectively.

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Which graph represents a linear function

Answers

Answer:

Any line except a vertical line represents a linear function.

Step-by-step explanation:

Any "diagonal" line is a linear function. Even a horizontal line represents a linear function. Only a vertical line does NOT represent a linear function.

The lengths of the three sides of a triangle (in inches) are consecutive integers. If the
perimeter is 27 inches, find the value of the shortest of the three side lengths.

Answers

The value of the shortest of the three side lengths is 3 inches.

What is Triangle?

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

The lengths of the three sides of a triangle (in inches) are consecutive integers.

The three sides are x, x+1 and x+2 which are consecutive.

We know that perimeter of a triangle is the sum of the three sides of a triangle.

Add the three Consecutive sides to find the perimeter.

Perimeter of triangle=x+x+1+x+2

The perimeter of triangle is 27 inhces.

27=3x+3

Substitute 3 from both sides

24=3x

Divide by 3 on both sides

8=x

Hence, the value of the shortest of the three side lengths is 3 inches.

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Which model shows two equal expression when the value of x 2

Answers

The model that represents the two equal expression for the value x is 2 is given by :

option C.  x  1  1 = 1   1   1   1

The correct model which represents the expression for the value x as 2 is given by :

A. x   x     x     x    = 1    1    1     1

On the left hand side substitute the value of x = 2 we get,

Left hand side

= 2    2    2    2

It is not equal to 1    1    1    1

Incorrect option.

B. x   x     x     x    = 1  

On the left hand side substitute the value of x = 2 we get,

2   2    2    2

which is not equal to 1

Incorrect option.

C. x   1   1  = 1      1     1     1

On the left hand side substitute the value of x = 2 we get,

2    1    1

= 1   1    1     1

= Right hand side.

Correct option.

D.  x      x    

On the left hand side substitute the value of x = 2 we get,

= 2      2

which is not equal to right hand side

Incorrect option.

Therefore, the correct model which represents the expression for the value of x = 2 is equal to option C.  x  1  1 = 1   1   1   1 .

The above question is incomplete , the complete question is:

Which model shows two equal expression when the value of x is 2 ?

Attached model.

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She has to be at the airport at least 100 minutes before the flight. By what time must she arrive at the airport?

Answers

She has to be at the airport at least 100 minutes before the flight. She must arrive at the airport at least two hours and 120 minutes before the flight.

Which ensures that she has time to check in, go through security and passport control, and board the flight. the amount f time a passenger needs to arrive before the flight can vary depending on the airline and airport. Generally, most airlines recommend that passengers arrive at the airport at least two hours before domestic flights and three hours before international flights.

In order it gives the passenger enough time to get to the airport depending on the location and traffic, check in and drop off any luggage, go through security and passport control, then at last board the flight

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CAN I PLEASE HAVE SOME HELP???? I AM TIMMED!!!
Question
A net of a triangular prism is shown below.
What is the surface area, in square meters, of the triangular prism?

Answers

So you have to multiply 5x12=60then you multiply 60x13=780 then you do it same thing for the rest

brad was hang gliding at a constant velocity. he moved 395 meters Southeast in 31.6 seconds. what was his velocity​

Answers

Answer: To calculate Brad's velocity, we can use the formula:

velocity = distance / time

where:

distance = 395 meters (the distance traveled)

time = 31.6 seconds (the time it took to travel that distance)

Plugging in the values into the formula, we get:

velocity = 395 meters / 31.6 seconds

velocity = 12.5 meters per second

So Brad's velocity was 12.5 meters per second in a southeast direction.

Step-by-step explanation:

Is it always possible, no matter how the rabbit moves, and no matter what points are reported by the tracking device, for the hunter to choose her moves so that after $10^9$ rounds she can ensure that the distance between her and the rabbit is at most 100?

Answers

It is not always possible for the hunter to ensure that the distance between her and the rabbit is at most 100 after $10⁹$ rounds. The distance between the hunter and the rabbit can increase by a factor of 2 in each round, making it impossible for the hunter to catch the rabbit in some scenarios.

It is not always possible for the hunter to ensure that the distance between her and the rabbit is at most 100 after $10⁹$ rounds, regardless of how the rabbit moves or what points are reported by the tracking device. This is because the distance between the hunter and the rabbit can increase by a factor of 2 in each round, which means that after $10⁹$ rounds, the distance between them could be as much as $2⁽¹⁰⁾⁹$ times the initial distance. This value could be much larger than 100, making it impossible for the hunter to catch the rabbit. Therefore, there are scenarios in which the hunter cannot catch the rabbit within $10⁹$ rounds.

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an urn contains 3 red marbles, 4 green marbles, and 5 black marbles. three marbles are drawn at random. find the probability of getting exactly one red marble or exactly one green marble and not both at the same time.

Answers

The answer is that there is no probability for this event to happen. To find the probability of getting exactly one red marble or exactly one green marble and not both at the same time, we can use the following steps:

Step 1: Find the number of ways to draw 3 marbles out of 12.

This can be found using the combination formula, which gives:

C(12,3) = 12! / (3! * 9!) = 220

Therefore, there are 220 ways to draw 3 marbles out of 12.

Step 2: Find the number of ways to draw exactly one red marble and two non-red marbles.

There are 3 red marbles, and we need to choose one, so there are C(3,1) = 3 ways to do this. There are 9 non-red marbles, and we need to choose two of them, so there are C(9,2) = 36 ways to do this. Therefore, 3 * 36 = 108 ways to draw exactly one red marble and two non-red marbles.

Step 3: Find the number of ways to draw exactly one green marble and two non-green marbles.

There are 4 green marbles, and we need to choose one, so there are C(4,1) = 4 ways to do this. There are 8 non-green marbles, and we need to choose two of them, so there are C(8,2) = 28 ways to do this. Therefore, there are 4 * 28 = 112 ways to draw exactly one green marble and two non-green marbles.

Step 4: Find the number of ways to draw exactly one red marble and one green marble. There are 3 red marbles and 4 green marbles, and we need to choose one of each, so there are 3 * 4 = 12 ways to do this.

Step 5: Add the results from steps 2, 3, and 4 to get the number of ways to draw marbles that satisfy the given condition.

Total number of ways = 108 + 112 + 12 = 232

Step 6: Find the probability of getting exactly one red marble or one green marble but not both at the same time.

The probability of an event is the number of ways that event can happen divided by the total number of possible outcomes. Therefore, the probability of getting exactly one red marble or exactly one green marble and not both at the same time is:

P = (number of ways to draw marbles that satisfy the given condition) / (total number of ways to draw 3 marbles out of 12 marbles)

P = 232 / 220

P = 1.0545

However, probabilities cannot be greater than 1. Therefore, the answer is that there is no probability for this event to happen.

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Jim
3
8
Cans of food collected
Cooper
58
If the friends collected 80 cans in total, how many more cans were collected by Cooper than by Jim?

Answers

Answer: 20

Step-by-step explanation:

58-38=20

Alice is willing to spend $30 on a pair of jeans, and has a coupon for $10 off she found online. She selects and purchases a $35 pair of jeans, pre-discount. Jeff finds some steaks for $16 for which he would have been willing to pay $20. The butcher notices the meat is near the expiration Jeffs surplus: date and gives him an extra 75% off.

Answers

Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.

Let's calculate the final amount paid by Alice and Jeff for their purchases.

Alice:

Alice has a budget of $30 for a pair of jeans, and a coupon for $10 off.The price of the jeans she selects is $35 before the coupon.To find the final price she paid, we need to subtract the coupon discount from the original price of the jeans: $35 - $10 = $25.So Alice paid $25 for her pair of jeans.

Jeff:

Jeff finds a pack of steaks for $16 and is willing to pay up to $20.This means he has a surplus of $20 - $16 = $4 that he is willing to spend on the steaks.The butcher notices the meat is near the expiration date and gives Jeff an extra 75% off.To calculate the discount, we first need to find 75% of the original price: 0.75 * $16 = $12.So Jeff gets a discount of $12, and the final price he paid is the original price minus the discount: $16 - $12 = $4.Therefore, Jeff paid $4 for the steaks.

So, Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.

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Need this for a lesson

Answers

Answer:

median = 95

Step-by-step explanation:

the median is indicated by the line inside the box.

each interval on the number line is 5 units.

median = 75 + 4 units = 75 + 20 = 95

Hi can someone please help this is due tonight.

Answers

a. It is not specified in the given information what the total number of seniors at Lewis High is, so it is not possible to directly compare the number of seniors who apply for college to the number of seniors at Lewis High.

How to explain the information

b. The same issue applies to this question as well. It is not specified what the total number of seniors at Lewis High is, so it is not possible to directly compare the number of seniors who apply for college with those who don't.

c. If two out of every three seniors at Lewis High apply for college, then one out of every three seniors does not. Therefore, the fraction of graduating seniors at Lewis High who do not apply to college is 1/3.

d. If three out of every five seniors at Lewis High who apply for college are female students, then two out of every five are male students. Therefore, the fraction of seniors who are males who apply for college is 2/5. Again, without knowing the total number of graduating seniors at Lewis High, it is not possible to directly compare the number of males who apply for college with the number of graduating seniors.

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Two of every 3 seniors at Lewis High apply for college. Three of every 5 seniors at Lewis High who apply for college are female students.yout

a. How does the number of seniors who apply for college compare to the number of seniors at Lewis High?

b. How does the number of seniors who apply for college compare to those who don't?

c. What fraction of the graduating seniors at Lewis High do not apply to college?

d. What fraction of the seniors are males who apply for college? How does the number of males who apply for college compare with the number of graduating seniors?

Suppose that the functions and are defined for all real numbers x as follows.

s(x) = 4x
t(x) = 3x + 3


Write the expressions for
(t*s)(x)
(t - s)(x)
and evaluate (t + s)(- 2)

Answers

Answer:

-5

Step-by-step explanation:

The expression for the composition of functions t and s, (t*s)(x), is obtained by substituting the output of s(x) into t(x). So,

(t*s)(x) = t(s(x)) = t(4x) = 3(4x) + 3 = 12x + 3.

The expression for the difference of functions t and s, (t - s)(x), is obtained by subtracting the output of s(x) from t(x). So,

(t - s)(x) = t(x) - s(x) = (3x + 3) - (4x) = -x + 3.

To evaluate (t + s)(-2), we need to add the outputs of t(-2) and s(-2).

t(-2) = 3(-2) + 3 = 3

s(-2) = 4(-2) = -8

So, (t + s)(-2) = t(-2) + s(-2) = 3 + (-8) = -5.

hized, accurate, and has a circled answer.
Problem #6 Kiran walks up to a tank of water that can hold up to 15 gallons. When it is active, a drain
empties water from the tank at a constant rate. When Kiran first sees the tank, it contains 12 gallons
of water. Four minutes later, the tank contains 10 gallons of water.
a.
b.
C.
At what rate is the amount of water in the tank changing? Use a signed number (positive or
negative) in your answer.
How many more minutes will it take for the tank to drain completely?
How many minutes before Kiran arrived was the water tank completely full?

Answers

(a) The rate at which the amount of water is changing is -1/2.

(b) It will take 20 more minutes to drain the water completely.

(c) The tank was completely full 3 minutes before Kiran arrive.

What is Unit Rate?

Unit rate is the amount of one quantity for a unit amount of the other quantity.

(a) Given that,

When Kiran first sees the tank, it contains 12 gallons of water. Four minutes later, the tank contains 10 gallons of water.

Rate at which the amount of water is changing = (10 - 12) / 4 = -2/4 = -1/2 gallons per minute.

(b) Time taken to drain 1/2 gallon = 1 minute

There are 10 gallons of water remaining in the tank.

Time taken to drain 10 gallons of water = (1 ÷ 1/2) × 10 = 20 minutes

It will take 20 more minutes to drain the water completely.

(c) When Kiran arrived, water tank has 12 gallons of water.

Total amount of water in the tank is 15 gallons.

Tank has lost 3 gallons of water before Kiran arrived.

Time taken to drain 3 gallons = (1 ÷ 1/2) × 3 = 6 minutes

So the tank was completely full 3 minutes before Kiran arrive.

Hence the rate is -1/2 gallons per minute.

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One year, the population of a city was 322,000. Several years later it was 273,700. Find the percent decrease.

Answers

The population of the city has decreased by 15%.

Percentage refers to a way of expressing a number as a fraction of 100, and is often represented by the symbol (%).

To find the percent decrease, we need to determine the difference between the original population and the new population. We can do this by subtracting the new population from the original population:

322,000 - 273,700 = 48,300

This means that the population has decreased by 48,300. To find the percentage decrease, we need to express this as a percentage of the original population. We can do this by dividing the decrease by the original population and then multiplying by 100:

(48,300 / 322,000) x 100 = 15%

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−3 + 5 + 6g = 11 − 3g
TYSM YALL

Answers

Your question: -3 + 5 + 6g = 11 - 3g

Answer: g = 1

[tex] \frak{ - 3 + 5 + 6g = 11 - 3g} [/tex]

[tex] \: [/tex]

[tex]\frak{2 + 6g = 11 - 3g} [/tex]

[tex] \: [/tex]

[tex] \frak{6g + 3g = 11 - 2} [/tex]

[tex] \: [/tex]

[tex] \frak{9g = 9} [/tex]

[tex] \: [/tex]

[tex]\frak{ \: g = \frac{9}{9} } [/tex]

[tex] \: [/tex]

[tex] \frak{ \: g = \cancel\frac{9}{9} } [/tex]

[tex] \: [/tex]

[tex] \underline{ \boxed{\bold{ \red{\frak{g = 1}}}}}[/tex]

[tex] \: [/tex]

hope it helps!:)

The degree of the term with the greatest degree is called?

Answers

The degree of the term with the greatest degree is called the degree of the polynomial.

Here, it is necessary to remember that, by the definition, we can find the "Degree of a polynomial" by identifying the greatest degree of its terms.

The "Leading term" of a polynomial is defined mostly as the term with the highest power of the variable of the polynomial.

The numbers located in front to the variable (those numbers that multiply the variable) are called "Coefficients". The coefficient of the Leading term is known as the "Leading coefficient."

For example, given the following polynomial:

18x² + 2x - 6

You can identify that, in this case:

degree of the polynomial: 2

leading term: 18x²

leading coefficient: 18

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What is the approximate distance between point W (3, 6) and point Z (8, -2)?

Answers

Answer:

hope this helps!!! That’s the answer!

Step-by-step explanation:

Answer:

9.43 units.

Step-by-step explanation:

To find the distance between two points in a 2D plane, you can use the Pythagorean theorem. The formula for finding the distance between two points (x1, y1) and (x2, y2) is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values for W and Z:

d = √((8 - 3)^2 + (-2 - 6)^2)

d = √(5^2 + (-8)^2)

d = √(25 + 64)

d = √89

The distance between the points W and Z is approximately 9.43 units.

If the rate 1/2 ounce for 2 cups how much is it for 12 cups

Answers

PLEASE GIVE BRAINLIEST

thank you and have a good day :)

Answer:

3 ounces per 12 cups

Step-by-step explanation:

you multiply the left side by 6 on both numerator and denominator

1/2 per 2 = X per 12

1/2 * 6 = 6/2 or 3

2 * 6 = 12

3 per 12 = x per 12

the rate is 3 ounces per 12 cups

i hope this helps

Start with the equation −5=x. Do the same thing to each side at least three times to create an equation that has the same solution as the starting equation.

Answers

Here are three different ways to manipulate the equation -5 = x to get an equivalent equation with the same solution:

Adding 5 to each side:
-5 + 5 = x + 5
0 = x + 5
x = -5
Subtracting x from each side:
-5 - x = x - x
-5 - x = 0
-5 = x
Multiplying each side by -1:
(-1)(-5) = (-1)x
5 = -x
x = -5
All three of these equations have the same solution: x = -5.

Need help with geometry please help

Answers

Answer:31.42 sq.

Step-by-step explanation:

A=2πrh+2πr2

What expression is equivalent to 24a+(-26b)-13a+12b?

Answers

The expression 24a+(-26b)-13a+12b is equivalent to 11a-14b.

What is algebraic expression ?

An algebraic expression is a combination of variables, numbers, and mathematical operations, such as addition, subtraction, multiplication, and division. It can be used to represent a mathematical relationship or formula and can be simplified or evaluated using algebraic rules.

Examples of algebraic expressions include "3x + 4y", "2a^2 - 5b", and "(x + 3)(x - 2)".

Given expression ,

24a+(-26b)-13a+12b

= 24a - 13a +12 b - 26b

= 11a - 14b

Therefore, The expression 24a+(-26b)-13a+12b is equivalent to 11a-14b.

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Greta has two pet lizards, Draco and Lizzy. For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets. Last week, Greta fed Draco 77 crickets.

Answers

The number of crickets Great fed last week to Lizzy is 56.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Given that, For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets.

Last week, Greta fed Draco 77 crickets.

Let the number of crickets Great fed last week be x.

Now, 11:8::77:x

11x=77×8

x=7×8

x=56

Therefore, the number of crickets Great fed last week to Lizzy is 56.

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"Your question is incomplete, probably the complete question/missing part is:"

Greta has two pet lizards, Draco and Lizzy. For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets. Last week, Greta fed Draco 77 crickets. How many crickets did Greta feed Lizzy?

The science club and the math club each bought plain pizzas for their end of the year
parties from the same pizza parlor.
The science club paid $79.00 for 5 large pizzas and 2 medium pizzas.
The math club paid $86.00 for 4 large pizzas and 4 medium pizzas.
What is the price, in dollars, of a medium pizza? Enter your answer as $0.00

Answers

The price of medium pizza paid by both the science and maths clubs found using linear equations is $9.50.

What is meant by equation?

A formula known as an equation uses the equals sign (=) to express how two expressions are equal.

Given,

Cost of 5 large pizzas and 2 medium pizzas paid by the science club = $79.00

Cost of  4 large pizzas and 4 medium pizzas paid by the math club = $86.00

Let the cost of medium pizza = x

Cost of large pizza = y

Now using the above equation we can write two linear equations.

2x + 5y = 79

4x + 4y = 86

Solving the above system of linear equations.

We are making the coefficient of the x variable the same.

Multiplying the first equation by 2.

4x + 10y = 158

4x + 4y = 86

Subtracting the equations.

6y = 72

y = 12

Now substituting in any one equation, we get the value of x.

2x + 5 * 12 = 79

2x = 19

x = 9.5

Therefore the price of medium pizza found using linear equations is $9.50.

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