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inysia [295]
3 years ago
5

Find the solution of this system of equations. Separate the x- and y-values with a comma. x - 4y = 12 and x - y = 0

Mathematics
1 answer:
Elenna [48]3 years ago
6 0
Use elimination and subtitution method to solve the problem.
First, eliminate x and you'll find the value of y
x - 4y = 12
x -  y  = 0
--------------- - (substract)
     -3y = 12
        y = 12/-3
        y = -4

Second, subtitute -4 as y and you'll find the value of x
x - y = 0
x- (-4) = 0
x + 4 = 0
x = -4

The solution
x,y = -4,-4
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If you know the area of a circular field is 6358.5 m2, what is the radius of the field?
diamong [38]

Answer:

r = 45 m.

Step-by-step explanation:

pi r^2 = 6358.5

r^2 = 6358.5 / pi

r = √(6358.5 / pi)

= 44.989 m

5 0
3 years ago
New York City has a population of 8.55 million and 300 square mile. Manhattan has 1.64 million and 23 square miles. How much gre
harkovskaia [24]

Given :

New York City has a population of 8.55 million and 300 square mile area .

Manhattan has 1.64 million and 23 square miles area .

To Find :

How much greater is the population density of Manhattan than New York City.

Solution :

Population density of New York City :

D_{NY}=\dfrac{8.55}{300}=0.029 \ million/mile^2\\\\D_{M}=\dfrac{1.64}{23}=0.071 \ million/mile^2

Now ,

D_{M}-D_{NY}\\\\(0.071-0.029)=0.042\ million/miles^2

Therefore , population density of Manhattan is 0.042\ million/miles^2 greater than New York City .

Hence , this is the required solution .

4 0
3 years ago
Adam can draw 6 squares in 18 minutes. How long will it take her To draw 42 squares at the same rate
tresset_1 [31]
It will take her around 126 minutes
6 0
3 years ago
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
vekshin1

Simplify:

A(n) = -6 + (n - 1)(6) = -6 + (n)(6) + (-1)(6) = -6 + 6n - 6 = 6n - 12

Put n = 1, n = 4 and n = 10 to the expression:

A(1) = 6(1) - 12 = 6 - 12 = -6

A(4) = 6(4) - 12 = 24 - 12 = 12

A(10) = 6(10) - 12 = 60 - 12 = 48

<h3>Answer:</h3><h3>first term = -6, fourth term = 12 and tenth term = 48.</h3><h3>-6, 12, 48</h3>
7 0
3 years ago
Read 2 more answers
No jokes bro ____________________________________
sladkih [1.3K]

Answer:

1102.5

Step-by-step explanation:

you multiply 45 and 3.5 = 157.7 then you multiply 157.7 and 7 and I got 1102.5

3 0
3 years ago
Read 2 more answers
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