Answer:
Inconsistent
Step-by-step explanation:
A system of equation is said to be inconsistent if the lines are parallel or the system of equations have no solution.
From the given graphs of lines, we can say that the lines are parallel to each other. Hence, the graphs never intersect.
Since, the lines are parallel hence, we can say that there would be no solution for the system of equations.
Therefore, the system is inconsistent.
Hence, third option is the correct option.
Answer:
<em>Donna will have to pay $67.985125 at the register, including the 7% sales tax.</em>
Step-by-step explanation:
Donna bought 3 pairs of pants for $28.50 each.
So, the cost for 3 pair of pants 
dollars.
She also bought a necklace for $12.25
Thus, the cost for her entire purchase will be: 
dollars.
She received a discount of 35% off her entire purchase. So, the amount of discount 
dollars.
Thus, the total selling price will be: 
dollars.
Percentage of sales tax is 7%. So, the amount of sales tax 
dollars.
Thus, the total amount Donna have to pay at the register 
dollars.
Answer:
2/15
Step-by-step explanation:
If you graph it on a line, 2/15 will be the closest to 0.
Answer:
La anchura será de:
6 cm
Step-by-step explanation:
El formato original corresponde al 100%
Si se reduce un 60% quiere decir que:
100 - 60 = 40%
la reducción queda al 40%
entonces, por regla de tres:
15cm es al 100%
A cm es al 40%
A = 15*40/100
A = 6cm
Step-by-step explanation:
1 Remove parentheses.
8{y}^{2}\times -3{x}^{2}{y}^{2}\times \frac{2}{3}x{y}^{4}
8y
2
×−3x
2
y
2
×
3
2
xy
4
2 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}
b
a
×
d
c
=
bd
ac
.
\frac{8{y}^{2}\times -3{x}^{2}{y}^{2}\times 2x{y}^{4}}{3}
3
8y
2
×−3x
2
y
2
×2xy
4
3 Take out the constants.
\frac{(8\times -3\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}
3
(8×−3×2)y
2
y
2
y
4
x
2
x
4 Simplify 8\times -38×−3 to -24−24.
\frac{(-24\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}
3
(−24×2)y
2
y
2
y
4
x
2
x
5 Simplify -24\times 2−24×2 to -48−48.
\frac{-48{y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}
3
−48y
2
y
2
y
4
x
2
x
6 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x
a
x
b
=x
a+b
.
\frac{-48{y}^{2+2+4}{x}^{2+1}}{3}
3
−48y
2+2+4
x
2+1
7 Simplify 2+22+2 to 44.
\frac{-48{y}^{4+4}{x}^{2+1}}{3}
3
−48y
4+4
x
2+1
8 Simplify 4+44+4 to 88.
\frac{-48{y}^{8}{x}^{2+1}}{3}
3
−48y
8
x
2+1
9 Simplify 2+12+1 to 33.
\frac{-48{y}^{8}{x}^{3}}{3}
3
−48y
8
x
3
10 Move the negative sign to the left.
-\frac{48{y}^{8}{x}^{3}}{3}
−
3
48y
8
x
3
11 Simplify \frac{48{y}^{8}{x}^{3}}{3}
3
48y
8
x
3
to 16{y}^{8}{x}^{3}16y
8
x
3
.
-16{y}^{8}{x}^{3}
−16y
8
x
3
Done
