The better deal is the 21-ounce one because its unit rate equals less than the 17-ounce one
Answer: n = 130
Step-by-step explanation:
The sequence is an Arithmetic progression ( AP )
The last term of the sequence is (L) is 394 with the formula
L = a + ( n- 1 )d . From the sequence, a = 7, d ( common difference ) = 3 and L ( last term ) = 394, and n = ?
Put those values in the formula above and solve for n.
a + ( n - 1 )d = L
7 + ( n - 1 ) x 3 = 394
7 + 3n - 3 = 394
4 + 3n = 394
3n = 394 - 4
3n = 390
n = 130
Cost of one daylily is $2 and cost of one geranium is $4.
Step-by-step explanation:
Let,
Cost of one daylily = x
Cost of one geranium = y
According to given statement;
x+5y=22 Eqn 1
13x+y=30 Eqn 2
From Eqn 1;
x=22 - 5y
Putting this value of x in Eqn 2;

Dividing both sides by -64

Putting y=4 in Eqn 1

Cost of one daylily is $2 and cost of one geranium is $4.
Keywords: linear equation, substitution method
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9514 1404 393
Answer:
x = 27°
Step-by-step explanation:
The supplements of each angle are complementary:
(180 -6x) +(180 -4x) = 90 . . . . . . . . assumes x is in degrees
270 = 10x . . . . . . add 10x-90
27 = x . . . . . . . . . divide by 10
Answer:
50
Step-by-step explanation:
and
can be expressed in complex form, with
= i
=
=
×
= 8i
=
=
×
= 4i
the factors can then be expressed as
(6 + 8i)(3 - 4i) ← expand using FOIL
= 18 - 24i + 24i - 32i² [ i² = (
)² = - 1 ]
= 18 - 24i + 24i + 32 ← collect like terms
= 18 + 32 + 0
= 50