5q + 2d = 270
To determine the intercepts, start by setting d to 0, then to find q. The conditions yield:
5q = 270
q = 54; (0, 54)
2d = 270
d = 135; (135, 0)
This equation illustrates the total number of coins in the piggy bank. For (0, 54), this indicates the quantity of quarters when dimes are absent, while (0, 135) displays the number of dimes when there are no quarters.
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When rounding 1199.28856995 to the nearest tenth, the result is 119.3.
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We consider all workers as either full-time or part-time.
36 = 24 + 12
If there are 24 or fewer full-time workers, there must be at least 12 part-time workers. (This conclusion is based on the understanding of sums.)
You can formulate the inequality in two steps. First, present and resolve an equation for full-time workers in relation to part-time workers. Then, apply the specified limit on full-time workers. This results in an inequality that can be solved for part-time workers.
Let f and p represent full-time and part-time positions, respectively.
f + p = 36... given
f = 36 - p... subtract p to express f in terms of p.
f ≤ 24......... given
(36 - p) ≤ 24.... substitute for f. This gives your inequality in terms of p.
36 - 24 ≤ p.... rearranging gives p ≥ 12........ this is the solution to the inequality
Answer:
Reason: the total sum of all angles inside any triangle equals 180º.
Step-by-step explanation:
1) Organization
Statement 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given
2) Given that the sum of all internal angles in any triangle is always 180º, similar to the formula. N represents the number of sides of a triangle:
3) We can also state
Like in the other triangle:
4) Therefore,
Reason: The total of the internal angles is equal to 180º.
