Answer:
3 and 8
Step-by-step explanation:
6,240/3=2080
6,240/9=693.3333333.....
6,240/780
The solution is : the least common denominator of 3/10 and 4/5 is 20.
The least common denominator is the smallest number of all the common multiples of the denominators when 2 or more fractions are given.
here, we have,
Let's list some multiples of each denominator
5: 5, 10, 15, 20, 25, 30
and,
10: 10, 20, 30, 40, 50, 60
and,
4: 4, 8, 12, 16, 20, 24, 28
so, we get,
The common denominator (LCD) is 20
So lets input
6/20, 20/20
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x+5y=4
Solve by elimination
The solution to the system of equation 4x - 9y = -42 and x + 5y = 4 is x = -6 and y = 2.
Given the system of equations in the question:
4x - 9y = -42
x + 5y = 4
To solve the system of equations using the elimination method, first multiply the second equation by 4:
4[ x + 5y = 4 ] → 4x + 20y = 16
Hence, we have:
4x - 9y = -42
4x + 20y = 16
Subtract the first equation from the second equation to eliminate 4x:
0 - 29y = -58
29y = 58
y = 58/29
y = 2
Plug y = 2 into equation 2 and solve for x;
x + 5y = 4
x + 5(2) = 4
x + 10 = 4
x = 4 - 10
x = -6
Therefore, the value of x is -6 and y is 2.
Learn more about system of equations here:brainly.com/question/28948523
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Answer:
x = -6 and y = 2
Step-by-step explanation:
4x-9y = -42
x+5y = 4
4x-9y = -42
4x + 20y = 16
Take them away from each other.
-29y = -58
Find what one y is by dividing.
-58 / -29 = 2
y = 2
Substitute back into original.
x + 10(5*y) = 4
Take 10 away to find x.
x = -6
Check if answer is correct.
4x - 9y = -42
-24 - 18 = -42
Final Answer: x = -6 and y = 2
The above question has to do with proportionality, specifically direct proportionality.
Direct proportionality means when an item x is directly proportional to an item y. This is represented mathematically as:
x ∝ y
90 cookies will serve 45 students.
The number of cookies needed for 30 students is 90 cookies
From the above question,
45 cookies will serve 15 students
Hence,
15 students = 45 cookies
30 students = ?
Cross Multiply
30 students x 45 cookies / 15 students
= 90 cookies.
Therefore, 90 cookies will serve 45 students.
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Answer:
five hundred fifty thousandths
Step-by-step explanation:
Recognize the place value of the rightmost digit, and write the name of the number that ends in that place.
The third place to the right of the decimal point is the thousandths place. The number between that and the decimal point is 550, five hundred fifty.
five hundred fifty thousandths