Total are of Rhode Island = 1500
Answer:
x = -5
y = 2
Step-by-step explanation:
3x + 4y = -7 -------eqn 1
-3x - 8y = -1 ------eqn 2
First, let's take eqn 1, to find the value of y
3x + 4y = -7
Make y the subject of the formula
4y = -7 - 3x
Divide both sides by 4, to get y
4y/4 = -7 - 3x / 4
y = (-7 - 3x) / 4
Substitute y into eqn 2
-3x - 8y = -1
-3x - 8(-7 - 3x) / 4 = -1
Open the bracket with -8
-3x + (56 + 24x )/ 4 = -1
LCM = 4
(-12x + 56 + 24x) / 4 = -1
(-12x + 24x + 56) / 4 = -1
(12x + 56)/4 = -1
Cross multiply
12x + 56 = -4
12x = -4 -56
12x = - 60
Divide both sides by 12 , the get the exact value of x.
12x/12 = -60/12
x = - 5
Insert the value of x = -5 into the equation 1
3x + 4y = -7
3(-5) + 4y = -7
-15 + 4y = -7
4y = -7 + 15
4y = 8
Divide both sides by 4
4y/ 4 = 8/4
y = 2
Hint, to confirm if the values are correct
Pick any of the two eqns
Let's pick eqn 2.
-3x - 8y = -7
x = -5
y = 2
-3(-5) - 8(2) =
= 15 - 16
= -1
So therefore, our values are correct
Answer:
B
Step-by-step explanation:
I would think be because it's the only one that crosses the rest don't
To make it easier say the number out loud. 26.2. Twenty six and two tenths. You could also say twenty six point two but the first way to say it makes it easier to write on paper though.
Twenty six and two tenths can also be reduced to twenty six and one fifth.
Answer:
B
Step-by-step explanation:
x cannot have any negative value, or the sum with -4 will create -5 or lower, and the corresponding absolute value is therefore larger than 3.
so, A and C are automatically out.
D can't be right, because it is an "or" condition, so, we could violate one of the conditions (like "x greater than 1"), and it would still be OK, as long as we keep the second. but that is not true, as we just ruled out negative x values.
so, only B includes the "and" condition.
it means 1 has to be less than x AND x has to be less than 7.
and that is correct.