An equation is a mathematical statement that is made up of twoexpressions connected by an equalsign
x + y = 110
y - (1/2)x = 20
The number of marblesonechildren had is 50.
The number of marblesotherchildren had is 60.
An equation is a mathematical statement that is made up of twoexpressions connected by an equalsign.
Example:
2x + 4y = 6 is an equation.
2x + 4 is an equation.
We have,
Totalnumber of marbles = 110
Number of children = 2
Number of marblesonechildren has initially = x
Number of marblesotherchildren has initially = y
Now,
x + y = 110 _____(1)
After one child had losthalf her marbles and the otherlost 20 they had an equalnumber.
This means,
x - (1/2)x = y - 20
(1/2)x = y - 20
y - (1/2)x = 20 _____(2)
From (1) and (2) we get,
x = 110 - y _____(3)
Putting (3) in (2)
y - (1/2)x = 20
y - (1/2)(110 - y) = 20
y - 55 + (1/2)y = 20
(3/2)y = 20 + 55
(3/2)y = 75
y = (75 x 2) / 3
y = 25 x 2
y = 50
Now,
Putting y = 50 in (3) we get,
x = 110 - y
x = 110 - 50
x = 60
Thus,
The number of marblesonechildren had is 50.
The number of marblesotherchildren had is 60.
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Answer:
City C is 12 times the population of city A.
Step-by-step explanation:
AI-generated answer
To find out how many times the population of city C is compared to city A, we first need to determine the population of city C.
Given that the population of city B is 1,560,000 and the population of city C is twice the population of city B, we can calculate the population of city C as follows:
Population of city C = 2 * Population of city B
= 2 * 1,560,000
= 3,120,000
Now that we know the population of city C is 3,120,000, we can compare it to the population of city A.
The population of city A is given as 2.6 * 10^5 (which is scientific notation for 2.6 multiplied by 10 raised to the power of 5).
To compare the population of city C to city A, we divide the population of city C by the population of city A:
Population of city C / Population of city A = 3,120,000 / 2.6 * 10^5
To simplify this calculation, we can express both numbers in the same format:
3,120,000 = 3.12 * 10^6 (since we move the decimal point 6 places to the right)
2.6 * 10^5 = 260,000 (as we move the decimal point 5 places to the right)
Now we can calculate:
Population of city C / Population of city A = 3.12 * 10^6 / 260,000
Dividing these two numbers, we get:
Population of city C / Population of city A = 12
Therefore, the population of city C is 12 times the population of city A.
Answer:
City C is 12 times the population of city A.
Step-by-step explanation:
you should just do 28-12=16 so 16 inches more
3x – 9y = 0
–x + 3y = –3
A. infinitely many
B.1
C.2
D.0
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What is the solution to the system of equations?
2x + y= -3
x - 2y= -4
(___,___)
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In a recent golf match, Tiger’s score was 4 less than Phil’s score. Their combined scores totaled 140. Let p represent Phil's score and t represent Tiger's score.
Which pair of equations can be used to determine their scores?
A. p – t = 140
p + t = 4
B. p + 140 = t
p = 4
C. p + t = 140
p – t = 4
D. p + t = 140
p + t = 4
(i think this one is C)
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The system of equations is coincident.
What are the missing values?
3x + y= 7
9x + __ y= __
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Allison and her husband Noah both get in their cars and begin to drive at the same time. Allison starts 360 mi from their home and drives directly home at a constant rate of 50 mph. Noah starts at their home and drives away from the home at a constant rate of 40 mph. The system that models this situation is given, where d represents the distance from home, and t represents time, in hours. The solution to the system is (4, 160).
What is the correct interpretation of the solution to this system?
d = 360 - 50t
d =40t
A. Noah will be 160 mi from home and Allison will be 4 mi from home.
B. Allison and Noah will both be 160 mi from home after 4 h.
C. Noah will be 4 mi from home and Allison will be 160 mi from home.
D. Allison and Noah will both be 4 mi from home when they drive for 160 min.
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please help me I dont understand these.