Answer:
a) The variable, M represents the amount of fish Ms. Montesinos has
b) The set equation is 11 + 2 = 3 × M - 2
c) 5
Step-by-step explanation:
The given parameters are;
The number of fishes in Ms. Cruz's tank = 11 fishes
The number of fishes Ms, Cruz has after buying two more fishes = 3 × The amount of fish Ms. Montesinos has - 2 fishes
a) Let the variable, M represent the amount of fish Ms. Montesinos has
b) The set up equation is as follows;
11 + 2 = 3 × M - 2
c) From the equation, 11 + 2 = 3 × M - 2, we have;
13 = 3·M - 2
3·M = 13 + 2 = 15
3·M = 15
M = 15/3 = 5
M = 5
The number of fishes Ms. Montesinos has is 17 fishes
An = a1 * r^(n-1)
-405 = -5*3^(n-1)
3^(n-1) = 81
3^4 = 81 so n-1 = 3 and n = 4
Sn = S4 = -5 (1 - 3^4) / ( 1 - 3) = 400 / -2 = -200 Answer
Answer:
9 1/9 per cousin
Step-by-step explanation:
if the aunt has 58 items to be distributed to 6 cousins, we would set a fraction of 58/6. performing that is 9 with 4/6 left over.
since there is 6 cousins, there will be 2/3 divided by 6 = 2/18, or 1/9
The correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option
<h3>Linear Inequalities </h3>
From the question, we are to determine the graph for the given compound inequality
The given compound inequality is
4p + 1 < −11 or 6p + 3 > 39
Solve the inequalities separately
4p + 1 < −11
4p < -11 - 1
4p < -12
p < -12/4
p < -3
OR
6p + 3 > 39
6p > 39 - 3
6p > 36
p > 36/6
p > 6
Thus,
p < -3 OR p > 6
Hence, the correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option
Learn more on Linear Inequalities here: brainly.com/question/5994230
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