Let the number of raspberry bushes in one garden = x
And the number of raspberry bushes in second garden = y
Garden one has 5 times as many raspberry bushes as second garden,
So the equation will be,
x = 5y -------(1)
If 22 bushes were transplanted from garden one to the second, number of bushes in both the garden becomes same,
Therefore, (x - 22) = (y + 22)
x - y = 22 + 22
x - y = 44 ------(2)
Substitute the value of x from equation (1) to equation (2)
5y - y = 44
4y = 44
y = 11
Substitute the value of 'y' in equation (1),
x = 5(11)
x = 55
Therefore, Number of bushes in garden one were 55 and in second garden 11 originally.
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Answer:
3466.64 (≈ 3467) cm²
Step-by-step explanation:
A = 2B + 2 sides and floor
A = 2 * (14 * 24) / 2 + 2 * (45 * √14² + 24²) + 45 * 14
A = 336 + 2500.64 + 630 = 3466.64 (≈ 3467)
The missing value for y is 3
Step-by-step explanation:
y−3=2(x+1)
We know that x=-1 and we want to solve for y
Put in x=-1
y-3 = 2(-1+1)
y-3 = 2(0)
y-3=0
Add 3 to each side
y-3+3 = 0+3
y =3
Answer:
sinQ=cosR
Step-by-step explanation:
First we need to find out the measure of ∠R.
The sum of all the angles in a triangle add up to 180. Therefore:
∠Q+∠R+∠S=180
66+∠R+90=180
∠R=180-156
∠R=24°
Since ∠Q≠∠R, sinQ≠sinR. So the first option is incorrect - let's try the second one.
sinQ=cosR
sin66=cos24
0.9135454576=0.9135454576
So the second equation is the correct relation.
Ans: Cramer's rule uses determinants instead of the inverse to solve linear systems of equations. Its major disad- vantage is that you can only solve for one variable at a time - this is why most computer programs do not use this rule to solve systems of equations.
