Answer:
2 pounds are left.
Step-by-step explanation:
12 pounds divided into 6 parts (or sixths) = 2 pounds each. 5 of those 6ths were used, so 10 pounds used. 2 pounds are left.
Alternately, multiply 12 x 5 for your numerator = 60, divide by 5, your denominator, and get 10 pounds used.
Answer: n= -20?
Step-by-step:
Simplify both sides of the equation
1/5n+4=0
Then subtract 4 from both sides
1/5n + 4 - 4 = 0 - 4
1/5n= -4
Then multiply both sides by 5
5*(1/5n)=5*(-4)
Answer:
Inequality Form:
r ≥ 7
Interval Notation:
[7, ∞)
Step-by-step explanation:
−1.3 ≥ 2.9 − 0.6r
Rewrite so r is on the left side of the inequality.
2.9 − 0.6r ≤ −1.3
Move all terms not containing r to the right side of the inequality.
Subtract 2.9 from both sides of the inequality.
−0.6r ≤ −1.3 − 2.9
Subtract 2.9 from −1.3.
−0.6r ≤ −4.2
Divide each term by −0.6 and simplify.
Divide each term in −0.6r ≤ −4.2 by −0.6. When multiplying or dividing both sides of an
inequality by a negative value, f lip the direction of the inequality sign.
−0.6r
/−0.6 ≥ −4.2
/−0.6
Cancel the common factor of −0.6.
−4.2
r ≥ ______
−0.6
Divide −4.2 by −0.6.
r ≥ 7
The result can be shown in multiple forms.
Inequality Form:
r ≥ 7
Interval Notation:
[7, ∞)
Answer: 72°, 108°, 108°
<u>Step-by-step explanation:</u>
Vertical angles are congruent (equal) so if one angle is 72° then its vertical angle is also 72°.
A vertical angle and its adjacent angle form a 180° angle, so the other two angles are each 180° - 72° = 108°
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<em>see image below</em>
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