Answer:
10c = 20
5c = 5
Step-by-step explanation:
Let x be the number of 10c coins; let y be the number of 5c coins. The total is $2.25, so the amount of 10c and 5c coins will add to that. Simita has 25 coins, so x and y, the number of coins, will have to add to 25. Hence, solve the simultaneous equation.
10x + 5y = 225 (1) - times by 0
x + y = 25 (2) - times by 5
10x + 5y = 225 (1)
5x + 5y = 125 (2)
Then, take equation 2 away from equation 1.
5x = 100
x = 20
Substitute x back into the original equation.
x + y = 25
20 + y = 25
y = 5
Answer:480 pounds
Step-by-step explanation: 30 pounds a day equals 210 a week and 30 days equals 2 weeks and 2 days. 210 pounds of fish every week for 2 weeks equals 420 pounds plus 60 from the other 2 days equals 480
Let length, width, and height be s.
Then diagonal of any face would be √( s² + s² ) = √( 2s² )
And we know that it measures √( 500 ) so that's sufficient for us to figure out the length of an edge of the cube. We do not need to worry about the diagonal of the cube.
Now we have to solve √( 500 ) = √( 2s² )
Square both sides:
500 = 2s²
Divide both sides by 2:
250 = s²
Take the square root of both sides:
√(250) = s ≈ 15.8113883
Rounding to nearest tenth:
s ≈ 15.8
Final answer: 15.8
Hope this helps.
Answer:
0.98386991
0.9839
Step-by-step explanation:
Answer:
The price of hot dog is $2.5 and that of a pretzel is $1.25.
Step-by-step explanation:
Let the cost of hotdogs be x and that of pretzels be x.
So,
4x+3y = 13.75 ...(1)
and
2x+5y = 11.25 ...(2)
Multiply equation (2) by 2.
4x+10y = 22.5 ...(3)
Subtract equation (1) from (3).
4x+10y-(4x+3y) = 22.5-13.75
4x+10y-4x-3y = 8.75
7y = 8.75
y = 1.25
Put the value of y in equation (1).
4x+3(1.25) = 13.75
4x+3.75 = 13.75
4x = 13.75-3.75
4x = 10
x = 2.5
So, the price of hot dog is $2.5 and that of a pretzel is $1.25.
