Answer:
Toner = $45.00; ink = $25.50
Step-by-step explanation:
Let T = the cost of a toner cartridge and I = the cost of an ink cartridge
We have two conditions:
(1) T = I + 19.50
(2) 4T + 11I = 460.50 Substitute (1) into (2)
4(I + 19.50) + 11I = 460.50 Remove parentheses
4I + 78.00 + 11I = 460.50 Combine like terms
15 I + 78.00 = 460.50 Subtract 78.00 from each side
15I = 382.50 Divide each side by 15
(3) I = 25.50
=====
Substitute (3) into (1)
T = 25.50 + 19.50
T = 45.00
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<em>Check:
</em>
(1) 45.00 = 25.50 + 19.50
45.00 = 45.00
(2) 4×45.00 + 11×25.50 = 460.50
180.00 + 280.50 = 460.50
460.50 = 460.50
Answer:
x = 63; y = 27
Step-by-step explanation:
x + 117 = 180
x = 180 - 117
x = 63
x + y = 90
63 + y = 90
y = 90 - 63
y = 27
Bam! UwU
Lol Hope this helps !
Answer:
Answer in explanation section
Step-by-step explanation:
8(2x-14)+13=4x-27. Given
16x-112+13=4x-27. Distributive property
16x-99=4x-27. Simplify
14x-99=-27. subtract
14x=72. Subtract
x=36/7. Divide to get x
Among the coefficient signs (++-) there is one sign change, so Descarte's rule of signs tells you there is one positive real root. Changing x to -x does not affect the signs, so there is also one negative real root. Then there are two complex roots to bring the total number to 4, the degree of the polynomial.
The factorization is
f(x) = (x^2 +25)(x^2 -4)
Each of these can be factored using the form for factoring the difference of squares.
f(x) = (x -5i)(x +5i)(x -2)(x +2)
There are 2 real roots: ±2.
There are 2 imaginary roots: ±5i.
