Opposites:
a. -3
b. 9
c. 5
d. -12
Answer:
This is not possible because the selling of number of AA batteries cannot be negative.
Step-by-step explanation:
Let us assume that the number of AAA batteries sells be x .
Let us assume that the number of AA batteries sells be y.
As given
Target sells AAA batteries for $1.10 and AA batteries for $0.50. They sold 350 total batteries earning a total of $560.
Equations becomes
x + y = 350
1.10x + 0.50y = 560
Simplify the above equation
110x + 50y = 56000
Two equations becomes
x + y = 350
110x + 50y = 56000
Multiply x + y = 350 by 50 and subtracted from 110x + 50y = 56000 .
110x - 50x + 50y - 50y = 56000 - 17500
60x = 38500
x = 641 .6 (Approx)
Put this value in the equation x + y = 350 .
641.6 + y = 350
y = 350 - 641.6
y = -291.6
This is not possible because the selling of number of AA batteries cannot be negative.
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The table that represents an arithmetic sequence is the third table.
<h3>What is arithmetic sequence?</h3>
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₓ = a₁ + (x-1)d
where d is the difference and a₁ is the first term of the sequence.
For the table to be in an arithmetic sequence, the difference between any two consecutive terms must be equal.
- For the first table, the difference between the first two terms is -6, while for the next two terms it is -12. Thus, it is not an arithmetic sequence.
- In the second table, the difference between the first two terms is 2 while the difference between the next two terms is 4. Thus, it is not an arithmetic sequence.
- In the third table, the difference between the first two terms is 1.4, the difference between the next two terms is 1.4. Also, it last two terms the difference is 1.4. Thus, it is an arithmetic sequence.
Hence, the table that represents an arithmetic sequence is the third table.
Learn more about Arithmetic Sequence:
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Do it step by step
ab+3c
(-6)(-2)+3(5)
A negative times a negative is positive. (-)(-)=+
12+3(5)
12+15
=27
An isosceles triangle is a special type of triangle that has two equal sides. Consequently, the two base angles are also equal. Since the interior angles of a triangle should sum up to 180°, the general equation should be
180° = 2*Base angle + Vertex angle
Let the base angle be x. Thus, the vertex angle is equal to
Vertex angle = 4x - 6
Substituting,
180 = 2x + 4x - 6
x = 31°
Vertex angle = 4(31°) - 6
Vertex angle = 118°
