The system of equations is coincident.What are the missing values?

4x + 5y = 8
8x + _ y = _

Answers

Answer 1

Answer: In order the system of equations to be a coincident, determine a number which is a quotient between the two given like terms. The two like terms here are the x variables with different coefficient, that is 4x and 8x.
Divide the two coefficients as 8/4 = 2
The quotient now is 2. You multiply it to the first linear equation on both sides.
2(4x + 5y) = 2(8)

Distributing it yields
8x + 10y = 16

Therefore, the missing values are 10 and 16.

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Conrad has a collection of three types of coins: nickels,dimes, and quarters. There are five more nickels than quarters but fours times as many dimes as quarters. If the entire collection is worth $5.85, how many nickels,dimes, and quarters are there?

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2 nickles 3 dimes and 4 quarters

marissa bought 2 1/2 gallons of orange juice to make punch . how many quarts of orange juice did marissa buy

Answers

The quarts of orange juice that Marissa bought is 20 quarts.

What is a mixed fraction?

A mixed fraction is a non integer that is made up of a whole number and a proper fraction. An example of a mixed fraction is 2 1/2.

What is the quarts that Marissa bought?

The unit of conversion of gallons to quarts = 1 gallon = 4 quarts

2 1/2 x 4

5/2 x 4 = 20 quarts

To learn how to convert units, please check: brainly.com/question/25993533

Answer:

10 quarts orange juice.

Step-by-step explanation:

Marissa bought $2(1)/(2)$ gallons of orange juice to make punch.

We have to calculate how many quarts of orange juice Marissa should buy.

Since 1 gallon = 4 quarts of liquid

So 2.5 gallons = 2.5×4 = 10 quarts of juice

Therefore Marissa will require 10 quarts of orange juice to buy.

Helppp with number 10

Answers

I think number 10 is (A) and (D). Hope I helped!

A circular oil spill continues to increase in size. The radius of the oil spill, in miles, is given by the function r(t) = 0.5 + 2t, where t is the time in hours. The area of the circular region is given by the function A(r) = πr2, where r is the radius of the circle at time t.Explain how to write a composite function to find the area of the region at time t.

Answers

Answer:

The area at time t is given by $A(t) =\pi (4t^2+2t+0.25).$

Step-by-step explanation:

We know the radius $r(t)$ of the oil spill as a function of time, and we know the area $A(r)$ as a function of radius, and we want the area at time t. In other words we are looking for area as a function of time $A(t)$

We find $A(t)$ by putting $r(t)$ into $A(r)$ as a substitute to r:

$A(t) = A(r(t))= \pi r(t)^2 =\pi (0.5 + 2t)^2={\pi (4t^2+2t+0.25).}$

$\boxed{A(t) =\pi (4t^2+2t+0.25).}$

Which is our answer.

Final answer:

To find the composite function for the area of the oil spill over time, replace 'r' in A(r) = πr2 with the function r(t). The function becomes A(t) = π(0.5 + 2t)2.

Explanation:

In order to find the function that represents the area of the oil spill over time, we need to write a composite function. This means we plug the function r(t) into A(r). Since r(t) = 0.5 + 2t, you can replace every instance of 'r' in A(r) = πr2 with (0.5 + 2t) to get the area as a function of time 't'. So, the composite function becomes A(t) = π(0.5 + 2t)2. Now we have a composite function that represents the area of the oil spill, denoted by A(t), as a function of time. The function is: A(t) = π(0.5 + 2t)2.

Learn more about Composite Functions here:

brainly.com/question/30143914

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How do you write the prime factorization of each number using exponents
20 and 50

Answers

2^2 x 5 and 2 x 5^2 is the answer.

Find the average distance each data value in the set is from the mean.Model years of used cars:2010, 2002, 2005 , 2007, 2001

Answers

To find the mean, you have to add all of the data together and divide by the amount of data sets there are. 2010+2002+2005+2007+2001=10025
10025 divided by 5 sets of data is 2005.
The mean or average is 2005

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