Answer:
The ordered pair is not a solution of the equation
Step-by-step explanation:
we know that
If a ordered pair is a solution of a linear equation, then the ordered pair must satisfy the linear equation
we have
Substitute the value of x and the value of y of the given ordered pair in the linear equation and analyze the results
For x=-1, y=15
----> is not true
so
the ordered pair not satisfy the equation
therefore
The ordered pair is not a solution of the equation
Answer:
Students altogether liked cola the best 26
Step-by-step explanation:
Total no of pupils = 60
Boys = 32
girls = 28
we will make a table
Gender cola milk water total
Boys 12 4 32
Girls 9 28
we can find the missing numbers
Let x be for milk
In boys 12 + x + 4 = 32
x = 16
In girls
as 21 liked milk altogether
so girls = 21 - 16 = 5
Gender cola milk water total
Boys 12 16 4 32
Girls 5 9 28
For cola let y
in girls
y + 5 + 9 = 28
y = 14
Gender cola milk water total
Boys 12 16 4 32
Girls 14 5 9 28
Altogether cola = 14 + 12 = 26
Answer:
0.216
Step-by-step explanation:
If the probability of green, P(green) is 40%, the probability of red, P(red) is 60%.
The probability of a light being red is not affected by the colour of the previous light, so at each of the 3 lights, the probability of red is always 60%.
To find the probability that all three lights will be red, multiply the three probabilities together. (Convert them to decimals first).
0.6 x 0.6 x 0.6 = 0.216
Answer:
5 shirts for 12 is 60 dollars
20 dollar dress plus 60 is 80
Step-by-step explanation:
18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.
<u>Step-by-step explanation:</u>
Let x = kg of 15% copper alloy
Let y = kg of 60% copper alloy
Since we need to create 90 kg of alloy we know:
x + y = 90
51% of 90 kg = 45.9 kg of copper
So we're interested in creating 45.9 kg of copper
We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:
0.15x + 0.60y = 45.9
but
x + y = 90
x= 90 - y
substituting that value in for x
0.15(90 - y) + 0.60y = 45.9
13.5 - 0.15y + 0.60y = 45.9
0.45y = 32.4
y = 72
Substituting this y value to solve for x gives:
x + y = 90
x= 90-72
x=18
Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.
