Answer:
Step-by-step explanation:
This is an inequality, not an equation. There will be a set of x-values for which the inequality will be true.
First eliminate the fractional coefficient 2/5 by multiplying all terms by 5:
25 < 2x + 15 ≤ 75
Subtracting 15 from each 5, (2/5)x, 3 and 15 yields:
22 < 2x ≤ 60
Dividing all three terms by 2, we get:
11 < x ≤ 30
Thus, any number greater than 11 but equal to or less than 30 is a solution.
Answer:
Z = 22
Step-by-step explanation:
plug 9 into the equation
9^2 + z = 103
81 + z = 103
subtract 81 from both sides
z = 22
do the same with -9
since you are squaring -9 this still equals 81 so the answer is the same.
Answer:
B
Step-by-step explanation:
this is just common sense. if you would have tried you could have easily answered this yourself.
the sequence starts with 6. that is a1.
so, the formula simply has to add "something" to 6.
therefore, A and D are out.
and then we see immediately that the sequence is built by subtracting 4 (or adding -4) for every step.
so, we need to add multiples of -4.
therefore, only B is correct (C adds multiples of +4).
Cost of Case of Juice: 20
Cost of Case of Water: 15
What is an equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
Here, we let
cost of a case of juice = x
cost of a case of water = y
6x + 1y = 135...(1)
4x + 2y = 110.....(2)
Now, we multiply equation (1) by 2 and equation (2) by 1 and we get
12x + 2y = 270
4x + 2y = 110
Now, we subtract equation (1) from equation (2) and we get
8x = 160
x = 20
and y = 15
Hence, the Cost of a Case of Juice: 20
Cost of Case of Water: 15
To learn more about the equation from the given link
brainly.com/question/25976025
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