Answer:To make 5 batches, Jude needs to use 20 packages of pre-mixed mortar.
Jude uses 9 quarts of water to make 3 batches of cement
If jude uses 16 packages of pre-mixed mortar, he will need to use 12 quarts of water
To make 0.5 batch of cement , Jude should use 2 packages of pre-mixed mortar
Step-by-step explanation:
Answer: 63 ft^2
Step-by-step explanation:
the formula for the area of a circle is A = π r ^2. the radius (r) is 1/2 of the diameter.
first, we'll plug in the radius of table #1 into the equation (A = π 4 ^2) and get an answer of 50.27 ft^2. then plug in radius of table #2 (A = π 6 ^2) and get 113.1 ft^2. now find the difference of the areas by subtracting (113.1 - 50.27) to get an answer of 62.83 ft^2. which will round up to 63 ft^2.
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
We will be using simultaneous equations to solve this problem.
Let's first establish the two equations we will be using.
Let integer no. 1 = x
Let integer no. 2 = y
Equation No. 1 -
x + y = - 7
Equation No. 2 -
xy = - 18
To begin with, we will make ( x ) the subject in the first equation.
Equation No. 1 -
x + y = - 7
x = - 7 - y
Next we will substitute the value of ( x ) from the first equation into the second equation to solve for ( y ).
Equation No. 2 -
xy = - 18
y ( - 7 - y ) = - 18
- 7y - y^2 = - 18
- y^2 - 7y + 18 = 0
- [ y^2 + 7y - 18 ] = 0
- [ y^2 + 9y - 2y - 18 ] = 0
- [ y ( y + 9 ) - 2 ( y + 9 ) ] = 0
- ( y + 9 ) ( y - 2 ) = 0
y + 9 = 0
y = - 9
OR
y - 2 = 0
y = 2
Then we will substitute the value of ( y ) from the second equation into the first equation to solve for ( x ).
Equation No. 1 -
x = - 7 - y
x = - 7 - ( - 9 )
x = - 7 + 9
x = 2
OR
x = - 7 - y
x = - 7 - ( 2 )
x = - 9
FINAL ANSWER:
Therefore, the answer is:
x = 2
y = - 9
OR
x = - 9
y = 2
The two integers are 2 and - 9 or - 9 and 2.
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There is a difference of +3 between each number, so your following number would be 21+3 = 24
hope that helps :)