Prime Factors of 504: 2, 3, 7
23 × 32 × 71 where 2, 3, 7 are prime.
Answer:
810
Step-by-step explanation:
9 x 10 = 90
9 x 90= 810
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R + 9
Expression would be r+9=j
J represents the miles that Jessica rode. Since Jessica rode 9 miles farther, you must add 9 to the amount that roger rode.
Answer:
rhombus; Measure of angle B = 70 degrees
Step-by-step explanation:
The shape is a rhombus. Angle B and angle A are supplementary, so they add up to 180 degrees.
110 + B = 180
B = 180 - 110
B = 70
It is a rhombus because all sides are equal.
3x−2y=12;−3x+8y=−6
Step: Solve3x−2y=12for x:
3x−2y=12
3x−2y+2y=12+2y(Add 2y to both sides)
3x=2y+12
3x
3
=
2y+12
3
(Divide both sides by 3)
x=
2
3
y+4
Step: Substitute
2
3
y+4forxin−3x+8y=−6:
−3x+8y=−6
−3(
2
3
y+4)+8y=−6
6y−12=−6(Simplify both sides of the equation)
6y−12+12=−6+12(Add 12 to both sides)
6y=6
6y
6
=
6
6
(Divide both sides by 6)
y=1
Step: Substitute1foryinx=
2
3
y+4:
x=
2
3
y+4
x=
2
3
(1)+4
x=
14
3
(Simplify both sides of the equation)
Answer:
x=
14
3
and y=1