114% as a fraction, mixed number, or whole number in simplest form?
1 answer:
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Answer:
#7: (p, r) = (0, -2) #8: (z,w) = z, +
z), ∈R #9: (c,d) = (3,3) #10: (u,x) ∈∅ #11: (a,b) = (-1, 2) #12:
Step-by-step explanation:
#7
Solve for 2p
2p - 3r = 6
2p = -6 -3r
substitute the given value of 2p into equation 2p - 3r = 6
-6 - 3r - 3r = 6
solve for r
r= -2
substitute value of r in equation
2p = -6 - 3x (-2)
solve for p
p=0
solution is ordered pair (p,r) = (0, -2)
#8
Solve for w
w= +
z
substitute the given value of w into equation
6 ( +
z) - 8z = 16
solve for z
z ∈ R
The statement is true for any value of z and w that satisfy both equations from the system. Therefore, the solution is in parametric form.
(z,w) = z, +
z)
#9
Solve for c
c + d = 6
c = d
substitute the given value of c into equation c + d = 6
d + d = 6
solve for d
d=3
substitute value of d in equation
c=3
solution is ordered pair (c,d) = (3,3)
#10
Solve for u
u= 3-2x
substitute the given value of c into equation
2 (3-2x) +4x = -6
solve for x
x ∈∅
Since the system has no solution for x the answer is
(u,x) ∈∅
#11
Solve for b
b= 5+3a
substitute the value of b into equation
3a + 5 + 3a+ b = -1
solve for a
a= -1
substitute the value of a into equation
b= 5 + 3x (-1)
solve for b
b=2
solution is ordered pair (a, b) = (-1, 2)
<em><u>4 pints of strawberries and 2 pints of blueberries are bought</u></em>
<em><u>Solution:</u></em>
Let "a" be the pints of strawberries bought
Let "b" be the pints of blueberries cost
Cost per pint of strawberry = $ 1.60
Cost per pint of blueberry = $ 2.30
<em><u>A shopper bought twice as many pints of strawberries as pints of blueberries</u></em>
Therefore,
a = 2b --------- eqn 1
<em><u>They spent a total of $11.00. Therefore we frame a equation as:</u></em>
pints of strawberries bought x Cost per pint of strawberry + pints of blueberries cost x Cost per pint of blueberry = 11
1.6a + 2.3b = 11 --------- eqn 2
<em><u>Substitute eqn 1 in eqn 2</u></em>
1.6(2b) + 2.3b = 11
3.2b + 2.3b = 11
5.5b = 11
Divide both sides by 11
b = 2
<em><u>Substitute b = 2 in eqn 1</u></em>
a = 2(2)
a = 4
Thus 4 pints of strawberries and 2 pints of blueberries are bought