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2 years ago

Solve the equation below

Mathematics

2 answers:

Elina [12.6K]2 years ago

7 0

Answer:

(-5,3)

Step-by-step explanation:

-40+8y=-16

8y=24

y=3

Anastasy [175]2 years ago

6 0

Answer:

(-5, -7)

Step-by-step explanation:

insert -5 where you see the variable 'x':

-8(-5) + 8y = -16

40 + 8y = -16

8y = -56

y = -7

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Suppose the correlation between height and weight for adults is +0.40. What proportion (or percent) of the variability in weight

Schach [20]

Answer:

We are given the correlation between height and weight for adults is 0.40.

We need to find the proportion of the variability in weight that can be explained by the relationship with height.

We know that coefficient of determination or R-square measures the proportion or percent of variability in dependent variable that can be explained by the relationship with independent variable. There the coefficient of determination is given below:

$R^{2}=r^{2}=0.40^{2}=0.16$

Therefore, the 0.16 or 16% of the variability in weight can be explained by the relationship with height

7 0

3 years ago

A collection of 20 coins made up of only nickels, dimes, and quarters has a total value of $3.35. If the dimes were nickels, the

Kay [80]

Answer: The required number of quarters in the collection is 11.

Step-by-step explanation: Given that a collection of 20 coins made up of only nickels, dimes and quarters has a total value of $3.35.

If the dimes were nickels, the nickels were quarters and the quarters were dimes, the collection of coins would have a total value of $2.75.

We are to find the number of quarters in the collection.

Let x, y and z represents the number of nickels, dimes and quarters respectively in the collection.

We will be using the following values of nickels, dimes and quarters in form of dollar :

1 nickel = $ 0.05, 1 dime = $ 0.10 and 1 quarter = $0.25.

Then, according to the given information, we have

$x+y+z=20\\\\\Rightarrow x=20-y-z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\0.05x+0.10y+0.25z=3.35\\\\\Rightarrow 5x+10y+25z=335\\\\\Rightarrow x+2y+5z=67~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\0.05y+0.25x+0.10z=2.75\\\\\Rightarrow 5y+25x+10z=275\\\\\Rightarrow y+2z+5x=55~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the value of x from equation (i) in equations (ii) and (iii), we have

$(20-y-z)+2y+5z=67\\\\\Rightarrow y+4z=47\\\\\Rightarrow y=47-4z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)$

and

$y+2z+5(20-y-z)=55\\\\\Rightarrow -4y-3z=-45\\\\\Rightarrow y=\dfrac{45-3z}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(v)$

Comparing the values of y from equations (iv) and (v), we get

$47-4z=\dfrac{45-3z}{4}\\\\\Rightarrow 188-16z=45-3z\\\\\Rightarrow 16z-3z=188-45\\\\\Rightarrow 13z=143\\\\\Rightarrow z=\dfrac{143}{13}\\\\\Rightarrow z=11.$

Thus, the required number of quarters in the collection is 11.

7 0

3 years ago

Two numbers that multiply to get 72 but add to get -22

Jlenok [28]

Two numbers that multiply to get 72 but add to get -22

4 x 18= 72
4 + 18 = 22

just change the signs depending on the problem

6 0

3 years ago

1. Mr.Customs is correcting the class’s math homework on customary units. Which of the following measurements is reasonable?

frosja888 [35]

Answer:

The reasonable measurement in question 1 is D - the distance from New York to California is 2,250 miles. The best unit of measurement for the length of the distance of your textbook is A - inch.

Step-by-step explanation:

The United States uses the Imperial System of measurement which uses things such as inches, feet, yards and miles. In order to understand reasonable measurements, you need to first realize the order in which size would be determined. For instance, 12 inches is equal to one foot, which can be found on your typical ruler. Additionally, three feet is equal to one yard, which we can find on a yard stick. Lastly, there are 1,760 yards in one mile, which is typically measured with some time of pedometer/odometer. So, when you think about calculating measurement for common things such as a pencil or distance between cities, think about whether this distance could be measured using a ruler or perhaps the odometer on a car.

3 0

3 years ago

What is the value of the expression? 3 131 3 152

Anettt [7]

Is there suppose to be a image before I don’t get it.

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3 years ago